From 08c29c2f54d48f6c127e7964f8a71aeaa92a0e2f Mon Sep 17 00:00:00 2001 From: "Matthias P. Braendli" Date: Mon, 28 Dec 2015 23:17:36 +0100 Subject: Add PSK31 code and arm_cos_f32 --- src/bsp/arm_common_tables.c | 27251 ++++++++++++++++++++++++++++++++++++++++++ src/bsp/arm_common_tables.h | 136 + src/bsp/arm_cos_f32.c | 138 + src/bsp/arm_math.h | 7556 ++++++++++++ src/fsm/common.h | 3 + src/fsm/cw.c | 1 + src/fsm/cw.h | 2 - src/fsm/psk31.c | 278 + src/fsm/psk31.h | 184 + 9 files changed, 35547 insertions(+), 2 deletions(-) create mode 100644 src/bsp/arm_common_tables.c create mode 100644 src/bsp/arm_common_tables.h create mode 100644 src/bsp/arm_cos_f32.c create mode 100644 src/bsp/arm_math.h create mode 100644 src/fsm/psk31.c create mode 100644 src/fsm/psk31.h diff --git a/src/bsp/arm_common_tables.c b/src/bsp/arm_common_tables.c new file mode 100644 index 0000000..4debe4b --- /dev/null +++ b/src/bsp/arm_common_tables.c @@ -0,0 +1,27251 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2014 ARM Limited. All rights reserved. +* +* $Date: 19. March 2015 +* $Revision: V.1.4.5 +* +* Project: CMSIS DSP Library +* Title: arm_common_tables.c +* +* Description: This file has common tables like fft twiddle factors, Bitreverse, reciprocal etc which are used across different functions +* +* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupTransforms + */ + +/** + * @addtogroup CFFT_CIFFT Complex FFT Tables + * @{ + */ + +/** +* \par +* Pseudo code for Generation of Bit reversal Table is +* \par +* 
for(l=1;l <= N/4;l++)    
+* {    
+*   for(i=0;i> 1;    
+*  }
+* \par +* where N = 4096 logN2 = 12 +* \par +* N is the maximum FFT Size supported +*/ + +/* +* @brief Table for bit reversal process +*/ +const uint16_t armBitRevTable[1024] = { + 0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, 0x80, 0x480, 0x280, + 0x680, 0x180, 0x580, 0x380, 0x780, 0x40, 0x440, 0x240, 0x640, 0x140, + 0x540, 0x340, 0x740, 0xc0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, 0x5c0, 0x3c0, + 0x7c0, 0x20, 0x420, 0x220, 0x620, 0x120, 0x520, 0x320, 0x720, 0xa0, + 0x4a0, 0x2a0, 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x60, 0x460, 0x260, + 0x660, 0x160, 0x560, 0x360, 0x760, 0xe0, 0x4e0, 0x2e0, 0x6e0, 0x1e0, + 0x5e0, 0x3e0, 0x7e0, 0x10, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310, + 0x710, 0x90, 0x490, 0x290, 0x690, 0x190, 0x590, 0x390, 0x790, 0x50, + 0x450, 0x250, 0x650, 0x150, 0x550, 0x350, 0x750, 0xd0, 0x4d0, 0x2d0, + 0x6d0, 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x30, 0x430, 0x230, 0x630, 0x130, + 0x530, 0x330, 0x730, 0xb0, 0x4b0, 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, + 0x7b0, 0x70, 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, 0xf0, + 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, 0x7f0, 0x8, 0x408, 0x208, + 0x608, 0x108, 0x508, 0x308, 0x708, 0x88, 0x488, 0x288, 0x688, 0x188, + 0x588, 0x388, 0x788, 0x48, 0x448, 0x248, 0x648, 0x148, 0x548, 0x348, + 0x748, 0xc8, 0x4c8, 0x2c8, 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x28, + 0x428, 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0xa8, 0x4a8, 0x2a8, + 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, 0x68, 0x468, 0x268, 0x668, 0x168, + 0x568, 0x368, 0x768, 0xe8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, 0x3e8, + 0x7e8, 0x18, 0x418, 0x218, 0x618, 0x118, 0x518, 0x318, 0x718, 0x98, + 0x498, 0x298, 0x698, 0x198, 0x598, 0x398, 0x798, 0x58, 0x458, 0x258, + 0x658, 0x158, 0x558, 0x358, 0x758, 0xd8, 0x4d8, 0x2d8, 0x6d8, 0x1d8, + 0x5d8, 0x3d8, 0x7d8, 0x38, 0x438, 0x238, 0x638, 0x138, 0x538, 0x338, + 0x738, 0xb8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, 0x7b8, 0x78, + 0x478, 0x278, 0x678, 0x178, 0x578, 0x378, 0x778, 0xf8, 0x4f8, 0x2f8, + 0x6f8, 0x1f8, 0x5f8, 0x3f8, 0x7f8, 0x4, 0x404, 0x204, 0x604, 0x104, + 0x504, 0x304, 0x704, 0x84, 0x484, 0x284, 0x684, 0x184, 0x584, 0x384, + 0x784, 0x44, 0x444, 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0xc4, + 0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, 0x24, 0x424, 0x224, + 0x624, 0x124, 0x524, 0x324, 0x724, 0xa4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, + 0x5a4, 0x3a4, 0x7a4, 0x64, 0x464, 0x264, 0x664, 0x164, 0x564, 0x364, + 0x764, 0xe4, 0x4e4, 0x2e4, 0x6e4, 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x14, + 0x414, 0x214, 0x614, 0x114, 0x514, 0x314, 0x714, 0x94, 0x494, 0x294, + 0x694, 0x194, 0x594, 0x394, 0x794, 0x54, 0x454, 0x254, 0x654, 0x154, + 0x554, 0x354, 0x754, 0xd4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4, + 0x7d4, 0x34, 0x434, 0x234, 0x634, 0x134, 0x534, 0x334, 0x734, 0xb4, + 0x4b4, 0x2b4, 0x6b4, 0x1b4, 0x5b4, 0x3b4, 0x7b4, 0x74, 0x474, 0x274, + 0x674, 0x174, 0x574, 0x374, 0x774, 0xf4, 0x4f4, 0x2f4, 0x6f4, 0x1f4, + 0x5f4, 0x3f4, 0x7f4, 0xc, 0x40c, 0x20c, 0x60c, 0x10c, 0x50c, 0x30c, + 0x70c, 0x8c, 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, 0x4c, + 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, 0x74c, 0xcc, 0x4cc, 0x2cc, + 0x6cc, 0x1cc, 0x5cc, 0x3cc, 0x7cc, 0x2c, 0x42c, 0x22c, 0x62c, 0x12c, + 0x52c, 0x32c, 0x72c, 0xac, 0x4ac, 0x2ac, 0x6ac, 0x1ac, 0x5ac, 0x3ac, + 0x7ac, 0x6c, 0x46c, 0x26c, 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0xec, + 0x4ec, 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x1c, 0x41c, 0x21c, + 0x61c, 0x11c, 0x51c, 0x31c, 0x71c, 0x9c, 0x49c, 0x29c, 0x69c, 0x19c, + 0x59c, 0x39c, 0x79c, 0x5c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, 0x35c, + 0x75c, 0xdc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, 0x5dc, 0x3dc, 0x7dc, 0x3c, + 0x43c, 0x23c, 0x63c, 0x13c, 0x53c, 0x33c, 0x73c, 0xbc, 0x4bc, 0x2bc, + 0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x7c, 0x47c, 0x27c, 0x67c, 0x17c, + 0x57c, 0x37c, 0x77c, 0xfc, 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc, + 0x7fc, 0x2, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, 0x702, 0x82, + 0x482, 0x282, 0x682, 0x182, 0x582, 0x382, 0x782, 0x42, 0x442, 0x242, + 0x642, 0x142, 0x542, 0x342, 0x742, 0xc2, 0x4c2, 0x2c2, 0x6c2, 0x1c2, + 0x5c2, 0x3c2, 0x7c2, 0x22, 0x422, 0x222, 0x622, 0x122, 0x522, 0x322, + 0x722, 0xa2, 0x4a2, 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x62, + 0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, 0xe2, 0x4e2, 0x2e2, + 0x6e2, 0x1e2, 0x5e2, 0x3e2, 0x7e2, 0x12, 0x412, 0x212, 0x612, 0x112, + 0x512, 0x312, 0x712, 0x92, 0x492, 0x292, 0x692, 0x192, 0x592, 0x392, + 0x792, 0x52, 0x452, 0x252, 0x652, 0x152, 0x552, 0x352, 0x752, 0xd2, + 0x4d2, 0x2d2, 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x32, 0x432, 0x232, + 0x632, 0x132, 0x532, 0x332, 0x732, 0xb2, 0x4b2, 0x2b2, 0x6b2, 0x1b2, + 0x5b2, 0x3b2, 0x7b2, 0x72, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372, + 0x772, 0xf2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, 0x3f2, 0x7f2, 0xa, + 0x40a, 0x20a, 0x60a, 0x10a, 0x50a, 0x30a, 0x70a, 0x8a, 0x48a, 0x28a, + 0x68a, 0x18a, 0x58a, 0x38a, 0x78a, 0x4a, 0x44a, 0x24a, 0x64a, 0x14a, + 0x54a, 0x34a, 0x74a, 0xca, 0x4ca, 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca, + 0x7ca, 0x2a, 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, 0xaa, + 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, 0x7aa, 0x6a, 0x46a, 0x26a, + 0x66a, 0x16a, 0x56a, 0x36a, 0x76a, 0xea, 0x4ea, 0x2ea, 0x6ea, 0x1ea, + 0x5ea, 0x3ea, 0x7ea, 0x1a, 0x41a, 0x21a, 0x61a, 0x11a, 0x51a, 0x31a, + 0x71a, 0x9a, 0x49a, 0x29a, 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a, + 0x45a, 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0xda, 0x4da, 0x2da, + 0x6da, 0x1da, 0x5da, 0x3da, 0x7da, 0x3a, 0x43a, 0x23a, 0x63a, 0x13a, + 0x53a, 0x33a, 0x73a, 0xba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, 0x3ba, + 0x7ba, 0x7a, 0x47a, 0x27a, 0x67a, 0x17a, 0x57a, 0x37a, 0x77a, 0xfa, + 0x4fa, 0x2fa, 0x6fa, 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x6, 0x406, 0x206, + 0x606, 0x106, 0x506, 0x306, 0x706, 0x86, 0x486, 0x286, 0x686, 0x186, + 0x586, 0x386, 0x786, 0x46, 0x446, 0x246, 0x646, 0x146, 0x546, 0x346, + 0x746, 0xc6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, 0x7c6, 0x26, + 0x426, 0x226, 0x626, 0x126, 0x526, 0x326, 0x726, 0xa6, 0x4a6, 0x2a6, + 0x6a6, 0x1a6, 0x5a6, 0x3a6, 0x7a6, 0x66, 0x466, 0x266, 0x666, 0x166, + 0x566, 0x366, 0x766, 0xe6, 0x4e6, 0x2e6, 0x6e6, 0x1e6, 0x5e6, 0x3e6, + 0x7e6, 0x16, 0x416, 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x96, + 0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, 0x56, 0x456, 0x256, + 0x656, 0x156, 0x556, 0x356, 0x756, 0xd6, 0x4d6, 0x2d6, 0x6d6, 0x1d6, + 0x5d6, 0x3d6, 0x7d6, 0x36, 0x436, 0x236, 0x636, 0x136, 0x536, 0x336, + 0x736, 0xb6, 0x4b6, 0x2b6, 0x6b6, 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x76, + 0x476, 0x276, 0x676, 0x176, 0x576, 0x376, 0x776, 0xf6, 0x4f6, 0x2f6, + 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0xe, 0x40e, 0x20e, 0x60e, 0x10e, + 0x50e, 0x30e, 0x70e, 0x8e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e, + 0x78e, 0x4e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, 0x34e, 0x74e, 0xce, + 0x4ce, 0x2ce, 0x6ce, 0x1ce, 0x5ce, 0x3ce, 0x7ce, 0x2e, 0x42e, 0x22e, + 0x62e, 0x12e, 0x52e, 0x32e, 0x72e, 0xae, 0x4ae, 0x2ae, 0x6ae, 0x1ae, + 0x5ae, 0x3ae, 0x7ae, 0x6e, 0x46e, 0x26e, 0x66e, 0x16e, 0x56e, 0x36e, + 0x76e, 0xee, 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, 0x1e, + 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, 0x71e, 0x9e, 0x49e, 0x29e, + 0x69e, 0x19e, 0x59e, 0x39e, 0x79e, 0x5e, 0x45e, 0x25e, 0x65e, 0x15e, + 0x55e, 0x35e, 0x75e, 0xde, 0x4de, 0x2de, 0x6de, 0x1de, 0x5de, 0x3de, + 0x7de, 0x3e, 0x43e, 0x23e, 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0xbe, + 0x4be, 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x7e, 0x47e, 0x27e, + 0x67e, 0x17e, 0x57e, 0x37e, 0x77e, 0xfe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, + 0x5fe, 0x3fe, 0x7fe, 0x1 +}; + + +/* +* @brief Floating-point Twiddle factors Table Generation +*/ + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +* 
for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 16 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_16[32] = { + 1.000000000f, 0.000000000f, + 0.923879533f, 0.382683432f, + 0.707106781f, 0.707106781f, + 0.382683432f, 0.923879533f, + 0.000000000f, 1.000000000f, + -0.382683432f, 0.923879533f, + -0.707106781f, 0.707106781f, + -0.923879533f, 0.382683432f, + -1.000000000f, 0.000000000f, + -0.923879533f, -0.382683432f, + -0.707106781f, -0.707106781f, + -0.382683432f, -0.923879533f, + -0.000000000f, -1.000000000f, + 0.382683432f, -0.923879533f, + 0.707106781f, -0.707106781f, + 0.923879533f, -0.382683432f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +* 
for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 32 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_32[64] = { + 1.000000000f, 0.000000000f, + 0.980785280f, 0.195090322f, + 0.923879533f, 0.382683432f, + 0.831469612f, 0.555570233f, + 0.707106781f, 0.707106781f, + 0.555570233f, 0.831469612f, + 0.382683432f, 0.923879533f, + 0.195090322f, 0.980785280f, + 0.000000000f, 1.000000000f, + -0.195090322f, 0.980785280f, + -0.382683432f, 0.923879533f, + -0.555570233f, 0.831469612f, + -0.707106781f, 0.707106781f, + -0.831469612f, 0.555570233f, + -0.923879533f, 0.382683432f, + -0.980785280f, 0.195090322f, + -1.000000000f, 0.000000000f, + -0.980785280f, -0.195090322f, + -0.923879533f, -0.382683432f, + -0.831469612f, -0.555570233f, + -0.707106781f, -0.707106781f, + -0.555570233f, -0.831469612f, + -0.382683432f, -0.923879533f, + -0.195090322f, -0.980785280f, + -0.000000000f, -1.000000000f, + 0.195090322f, -0.980785280f, + 0.382683432f, -0.923879533f, + 0.555570233f, -0.831469612f, + 0.707106781f, -0.707106781f, + 0.831469612f, -0.555570233f, + 0.923879533f, -0.382683432f, + 0.980785280f, -0.195090322f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +* 
for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 64 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_64[128] = { + 1.000000000f, 0.000000000f, + 0.995184727f, 0.098017140f, + 0.980785280f, 0.195090322f, + 0.956940336f, 0.290284677f, + 0.923879533f, 0.382683432f, + 0.881921264f, 0.471396737f, + 0.831469612f, 0.555570233f, + 0.773010453f, 0.634393284f, + 0.707106781f, 0.707106781f, + 0.634393284f, 0.773010453f, + 0.555570233f, 0.831469612f, + 0.471396737f, 0.881921264f, + 0.382683432f, 0.923879533f, + 0.290284677f, 0.956940336f, + 0.195090322f, 0.980785280f, + 0.098017140f, 0.995184727f, + 0.000000000f, 1.000000000f, + -0.098017140f, 0.995184727f, + -0.195090322f, 0.980785280f, + -0.290284677f, 0.956940336f, + -0.382683432f, 0.923879533f, + -0.471396737f, 0.881921264f, + -0.555570233f, 0.831469612f, + -0.634393284f, 0.773010453f, + -0.707106781f, 0.707106781f, + -0.773010453f, 0.634393284f, + -0.831469612f, 0.555570233f, + -0.881921264f, 0.471396737f, + -0.923879533f, 0.382683432f, + -0.956940336f, 0.290284677f, + -0.980785280f, 0.195090322f, + -0.995184727f, 0.098017140f, + -1.000000000f, 0.000000000f, + -0.995184727f, -0.098017140f, + -0.980785280f, -0.195090322f, + -0.956940336f, -0.290284677f, + -0.923879533f, -0.382683432f, + -0.881921264f, -0.471396737f, + -0.831469612f, -0.555570233f, + -0.773010453f, -0.634393284f, + -0.707106781f, -0.707106781f, + -0.634393284f, -0.773010453f, + -0.555570233f, -0.831469612f, + -0.471396737f, -0.881921264f, + -0.382683432f, -0.923879533f, + -0.290284677f, -0.956940336f, + -0.195090322f, -0.980785280f, + -0.098017140f, -0.995184727f, + -0.000000000f, -1.000000000f, + 0.098017140f, -0.995184727f, + 0.195090322f, -0.980785280f, + 0.290284677f, -0.956940336f, + 0.382683432f, -0.923879533f, + 0.471396737f, -0.881921264f, + 0.555570233f, -0.831469612f, + 0.634393284f, -0.773010453f, + 0.707106781f, -0.707106781f, + 0.773010453f, -0.634393284f, + 0.831469612f, -0.555570233f, + 0.881921264f, -0.471396737f, + 0.923879533f, -0.382683432f, + 0.956940336f, -0.290284677f, + 0.980785280f, -0.195090322f, + 0.995184727f, -0.098017140f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +* 
for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 128 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ + +const float32_t twiddleCoef_128[256] = { + 1.000000000f , 0.000000000f , + 0.998795456f , 0.049067674f , + 0.995184727f , 0.098017140f , + 0.989176510f , 0.146730474f , + 0.980785280f , 0.195090322f , + 0.970031253f , 0.242980180f , + 0.956940336f , 0.290284677f , + 0.941544065f , 0.336889853f , + 0.923879533f , 0.382683432f , + 0.903989293f , 0.427555093f , + 0.881921264f , 0.471396737f , + 0.857728610f , 0.514102744f , + 0.831469612f , 0.555570233f , + 0.803207531f , 0.595699304f , + 0.773010453f , 0.634393284f , + 0.740951125f , 0.671558955f , + 0.707106781f , 0.707106781f , + 0.671558955f , 0.740951125f , + 0.634393284f , 0.773010453f , + 0.595699304f , 0.803207531f , + 0.555570233f , 0.831469612f , + 0.514102744f , 0.857728610f , + 0.471396737f , 0.881921264f , + 0.427555093f , 0.903989293f , + 0.382683432f , 0.923879533f , + 0.336889853f , 0.941544065f , + 0.290284677f , 0.956940336f , + 0.242980180f , 0.970031253f , + 0.195090322f , 0.980785280f , + 0.146730474f , 0.989176510f , + 0.098017140f , 0.995184727f , + 0.049067674f , 0.998795456f , + 0.000000000f , 1.000000000f , + -0.049067674f , 0.998795456f , + -0.098017140f , 0.995184727f , + -0.146730474f , 0.989176510f , + -0.195090322f , 0.980785280f , + -0.242980180f , 0.970031253f , + -0.290284677f , 0.956940336f , + -0.336889853f , 0.941544065f , + -0.382683432f , 0.923879533f , + -0.427555093f , 0.903989293f , + -0.471396737f , 0.881921264f , + -0.514102744f , 0.857728610f , + -0.555570233f , 0.831469612f , + -0.595699304f , 0.803207531f , + -0.634393284f , 0.773010453f , + -0.671558955f , 0.740951125f , + -0.707106781f , 0.707106781f , + -0.740951125f , 0.671558955f , + -0.773010453f , 0.634393284f , + -0.803207531f , 0.595699304f , + -0.831469612f , 0.555570233f , + -0.857728610f , 0.514102744f , + -0.881921264f , 0.471396737f , + -0.903989293f , 0.427555093f , + -0.923879533f , 0.382683432f , + -0.941544065f , 0.336889853f , + -0.956940336f , 0.290284677f , + -0.970031253f , 0.242980180f , + -0.980785280f , 0.195090322f , + -0.989176510f , 0.146730474f , + -0.995184727f , 0.098017140f , + -0.998795456f , 0.049067674f , + -1.000000000f , 0.000000000f , + -0.998795456f , -0.049067674f , + -0.995184727f , -0.098017140f , + -0.989176510f , -0.146730474f , + -0.980785280f , -0.195090322f , + -0.970031253f , -0.242980180f , + -0.956940336f , -0.290284677f , + -0.941544065f , -0.336889853f , + -0.923879533f , -0.382683432f , + -0.903989293f , -0.427555093f , + -0.881921264f , -0.471396737f , + -0.857728610f , -0.514102744f , + -0.831469612f , -0.555570233f , + -0.803207531f , -0.595699304f , + -0.773010453f , -0.634393284f , + -0.740951125f , -0.671558955f , + -0.707106781f , -0.707106781f , + -0.671558955f , -0.740951125f , + -0.634393284f , -0.773010453f , + -0.595699304f , -0.803207531f , + -0.555570233f , -0.831469612f , + -0.514102744f , -0.857728610f , + -0.471396737f , -0.881921264f , + -0.427555093f , -0.903989293f , + -0.382683432f , -0.923879533f , + -0.336889853f , -0.941544065f , + -0.290284677f , -0.956940336f , + -0.242980180f , -0.970031253f , + -0.195090322f , -0.980785280f , + -0.146730474f , -0.989176510f , + -0.098017140f , -0.995184727f , + -0.049067674f , -0.998795456f , + -0.000000000f , -1.000000000f , + 0.049067674f , -0.998795456f , + 0.098017140f , -0.995184727f , + 0.146730474f , -0.989176510f , + 0.195090322f , -0.980785280f , + 0.242980180f , -0.970031253f , + 0.290284677f , -0.956940336f , + 0.336889853f , -0.941544065f , + 0.382683432f , -0.923879533f , + 0.427555093f , -0.903989293f , + 0.471396737f , -0.881921264f , + 0.514102744f , -0.857728610f , + 0.555570233f , -0.831469612f , + 0.595699304f , -0.803207531f , + 0.634393284f , -0.773010453f , + 0.671558955f , -0.740951125f , + 0.707106781f , -0.707106781f , + 0.740951125f , -0.671558955f , + 0.773010453f , -0.634393284f , + 0.803207531f , -0.595699304f , + 0.831469612f , -0.555570233f , + 0.857728610f , -0.514102744f , + 0.881921264f , -0.471396737f , + 0.903989293f , -0.427555093f , + 0.923879533f , -0.382683432f , + 0.941544065f , -0.336889853f , + 0.956940336f , -0.290284677f , + 0.970031253f , -0.242980180f , + 0.980785280f , -0.195090322f , + 0.989176510f , -0.146730474f , + 0.995184727f , -0.098017140f , + 0.998795456f , -0.049067674f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +* 
for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 256 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_256[512] = { + 1.000000000f, 0.000000000f, + 0.999698819f, 0.024541229f, + 0.998795456f, 0.049067674f, + 0.997290457f, 0.073564564f, + 0.995184727f, 0.098017140f, + 0.992479535f, 0.122410675f, + 0.989176510f, 0.146730474f, + 0.985277642f, 0.170961889f, + 0.980785280f, 0.195090322f, + 0.975702130f, 0.219101240f, + 0.970031253f, 0.242980180f, + 0.963776066f, 0.266712757f, + 0.956940336f, 0.290284677f, + 0.949528181f, 0.313681740f, + 0.941544065f, 0.336889853f, + 0.932992799f, 0.359895037f, + 0.923879533f, 0.382683432f, + 0.914209756f, 0.405241314f, + 0.903989293f, 0.427555093f, + 0.893224301f, 0.449611330f, + 0.881921264f, 0.471396737f, + 0.870086991f, 0.492898192f, + 0.857728610f, 0.514102744f, + 0.844853565f, 0.534997620f, + 0.831469612f, 0.555570233f, + 0.817584813f, 0.575808191f, + 0.803207531f, 0.595699304f, + 0.788346428f, 0.615231591f, + 0.773010453f, 0.634393284f, + 0.757208847f, 0.653172843f, + 0.740951125f, 0.671558955f, + 0.724247083f, 0.689540545f, + 0.707106781f, 0.707106781f, + 0.689540545f, 0.724247083f, + 0.671558955f, 0.740951125f, + 0.653172843f, 0.757208847f, + 0.634393284f, 0.773010453f, + 0.615231591f, 0.788346428f, + 0.595699304f, 0.803207531f, + 0.575808191f, 0.817584813f, + 0.555570233f, 0.831469612f, + 0.534997620f, 0.844853565f, + 0.514102744f, 0.857728610f, + 0.492898192f, 0.870086991f, + 0.471396737f, 0.881921264f, + 0.449611330f, 0.893224301f, + 0.427555093f, 0.903989293f, + 0.405241314f, 0.914209756f, + 0.382683432f, 0.923879533f, + 0.359895037f, 0.932992799f, + 0.336889853f, 0.941544065f, + 0.313681740f, 0.949528181f, + 0.290284677f, 0.956940336f, + 0.266712757f, 0.963776066f, + 0.242980180f, 0.970031253f, + 0.219101240f, 0.975702130f, + 0.195090322f, 0.980785280f, + 0.170961889f, 0.985277642f, + 0.146730474f, 0.989176510f, + 0.122410675f, 0.992479535f, + 0.098017140f, 0.995184727f, + 0.073564564f, 0.997290457f, + 0.049067674f, 0.998795456f, + 0.024541229f, 0.999698819f, + 0.000000000f, 1.000000000f, + -0.024541229f, 0.999698819f, + -0.049067674f, 0.998795456f, + -0.073564564f, 0.997290457f, + -0.098017140f, 0.995184727f, + -0.122410675f, 0.992479535f, + -0.146730474f, 0.989176510f, + -0.170961889f, 0.985277642f, + -0.195090322f, 0.980785280f, + -0.219101240f, 0.975702130f, + -0.242980180f, 0.970031253f, + -0.266712757f, 0.963776066f, + -0.290284677f, 0.956940336f, + -0.313681740f, 0.949528181f, + -0.336889853f, 0.941544065f, + -0.359895037f, 0.932992799f, + -0.382683432f, 0.923879533f, + -0.405241314f, 0.914209756f, + -0.427555093f, 0.903989293f, + -0.449611330f, 0.893224301f, + -0.471396737f, 0.881921264f, + -0.492898192f, 0.870086991f, + -0.514102744f, 0.857728610f, + -0.534997620f, 0.844853565f, + -0.555570233f, 0.831469612f, + -0.575808191f, 0.817584813f, + -0.595699304f, 0.803207531f, + -0.615231591f, 0.788346428f, + -0.634393284f, 0.773010453f, + -0.653172843f, 0.757208847f, + -0.671558955f, 0.740951125f, + -0.689540545f, 0.724247083f, + -0.707106781f, 0.707106781f, + -0.724247083f, 0.689540545f, + -0.740951125f, 0.671558955f, + -0.757208847f, 0.653172843f, + -0.773010453f, 0.634393284f, + -0.788346428f, 0.615231591f, + -0.803207531f, 0.595699304f, + -0.817584813f, 0.575808191f, + -0.831469612f, 0.555570233f, + -0.844853565f, 0.534997620f, + -0.857728610f, 0.514102744f, + -0.870086991f, 0.492898192f, + -0.881921264f, 0.471396737f, + -0.893224301f, 0.449611330f, + -0.903989293f, 0.427555093f, + -0.914209756f, 0.405241314f, + -0.923879533f, 0.382683432f, + -0.932992799f, 0.359895037f, + -0.941544065f, 0.336889853f, + -0.949528181f, 0.313681740f, + -0.956940336f, 0.290284677f, + -0.963776066f, 0.266712757f, + -0.970031253f, 0.242980180f, + -0.975702130f, 0.219101240f, + -0.980785280f, 0.195090322f, + -0.985277642f, 0.170961889f, + -0.989176510f, 0.146730474f, + -0.992479535f, 0.122410675f, + -0.995184727f, 0.098017140f, + -0.997290457f, 0.073564564f, + -0.998795456f, 0.049067674f, + -0.999698819f, 0.024541229f, + -1.000000000f, 0.000000000f, + -0.999698819f, -0.024541229f, + -0.998795456f, -0.049067674f, + -0.997290457f, -0.073564564f, + -0.995184727f, -0.098017140f, + -0.992479535f, -0.122410675f, + -0.989176510f, -0.146730474f, + -0.985277642f, -0.170961889f, + -0.980785280f, -0.195090322f, + -0.975702130f, -0.219101240f, + -0.970031253f, -0.242980180f, + -0.963776066f, -0.266712757f, + -0.956940336f, -0.290284677f, + -0.949528181f, -0.313681740f, + -0.941544065f, -0.336889853f, + -0.932992799f, -0.359895037f, + -0.923879533f, -0.382683432f, + -0.914209756f, -0.405241314f, + -0.903989293f, -0.427555093f, + -0.893224301f, -0.449611330f, + -0.881921264f, -0.471396737f, + -0.870086991f, -0.492898192f, + -0.857728610f, -0.514102744f, + -0.844853565f, -0.534997620f, + -0.831469612f, -0.555570233f, + -0.817584813f, -0.575808191f, + -0.803207531f, -0.595699304f, + -0.788346428f, -0.615231591f, + -0.773010453f, -0.634393284f, + -0.757208847f, -0.653172843f, + -0.740951125f, -0.671558955f, + -0.724247083f, -0.689540545f, + -0.707106781f, -0.707106781f, + -0.689540545f, -0.724247083f, + -0.671558955f, -0.740951125f, + -0.653172843f, -0.757208847f, + -0.634393284f, -0.773010453f, + -0.615231591f, -0.788346428f, + -0.595699304f, -0.803207531f, + -0.575808191f, -0.817584813f, + -0.555570233f, -0.831469612f, + -0.534997620f, -0.844853565f, + -0.514102744f, -0.857728610f, + -0.492898192f, -0.870086991f, + -0.471396737f, -0.881921264f, + -0.449611330f, -0.893224301f, + -0.427555093f, -0.903989293f, + -0.405241314f, -0.914209756f, + -0.382683432f, -0.923879533f, + -0.359895037f, -0.932992799f, + -0.336889853f, -0.941544065f, + -0.313681740f, -0.949528181f, + -0.290284677f, -0.956940336f, + -0.266712757f, -0.963776066f, + -0.242980180f, -0.970031253f, + -0.219101240f, -0.975702130f, + -0.195090322f, -0.980785280f, + -0.170961889f, -0.985277642f, + -0.146730474f, -0.989176510f, + -0.122410675f, -0.992479535f, + -0.098017140f, -0.995184727f, + -0.073564564f, -0.997290457f, + -0.049067674f, -0.998795456f, + -0.024541229f, -0.999698819f, + -0.000000000f, -1.000000000f, + 0.024541229f, -0.999698819f, + 0.049067674f, -0.998795456f, + 0.073564564f, -0.997290457f, + 0.098017140f, -0.995184727f, + 0.122410675f, -0.992479535f, + 0.146730474f, -0.989176510f, + 0.170961889f, -0.985277642f, + 0.195090322f, -0.980785280f, + 0.219101240f, -0.975702130f, + 0.242980180f, -0.970031253f, + 0.266712757f, -0.963776066f, + 0.290284677f, -0.956940336f, + 0.313681740f, -0.949528181f, + 0.336889853f, -0.941544065f, + 0.359895037f, -0.932992799f, + 0.382683432f, -0.923879533f, + 0.405241314f, -0.914209756f, + 0.427555093f, -0.903989293f, + 0.449611330f, -0.893224301f, + 0.471396737f, -0.881921264f, + 0.492898192f, -0.870086991f, + 0.514102744f, -0.857728610f, + 0.534997620f, -0.844853565f, + 0.555570233f, -0.831469612f, + 0.575808191f, -0.817584813f, + 0.595699304f, -0.803207531f, + 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0.992479535f, -0.122410675f, + 0.995184727f, -0.098017140f, + 0.997290457f, -0.073564564f, + 0.998795456f, -0.049067674f, + 0.999698819f, -0.024541229f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +* 
for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 512 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_512[1024] = { + 1.000000000f, 0.000000000f, + 0.999924702f, 0.012271538f, + 0.999698819f, 0.024541229f, + 0.999322385f, 0.036807223f, + 0.998795456f, 0.049067674f, + 0.998118113f, 0.061320736f, + 0.997290457f, 0.073564564f, + 0.996312612f, 0.085797312f, + 0.995184727f, 0.098017140f, + 0.993906970f, 0.110222207f, + 0.992479535f, 0.122410675f, + 0.990902635f, 0.134580709f, + 0.989176510f, 0.146730474f, + 0.987301418f, 0.158858143f, + 0.985277642f, 0.170961889f, + 0.983105487f, 0.183039888f, + 0.980785280f, 0.195090322f, + 0.978317371f, 0.207111376f, + 0.975702130f, 0.219101240f, + 0.972939952f, 0.231058108f, + 0.970031253f, 0.242980180f, + 0.966976471f, 0.254865660f, + 0.963776066f, 0.266712757f, + 0.960430519f, 0.278519689f, + 0.956940336f, 0.290284677f, + 0.953306040f, 0.302005949f, + 0.949528181f, 0.313681740f, + 0.945607325f, 0.325310292f, + 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0.998118113f, -0.061320736f, + 0.998795456f, -0.049067674f, + 0.999322385f, -0.036807223f, + 0.999698819f, -0.024541229f, + 0.999924702f, -0.012271538f +}; +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +* 
for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 1024 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_1024[2048] = { +1.000000000f , 0.000000000f , +0.999981175f , 0.006135885f , +0.999924702f , 0.012271538f , +0.999830582f , 0.018406730f , +0.999698819f , 0.024541229f , +0.999529418f , 0.030674803f , +0.999322385f , 0.036807223f , +0.999077728f , 0.042938257f , +0.998795456f , 0.049067674f , +0.998475581f , 0.055195244f , +0.998118113f , 0.061320736f , +0.997723067f , 0.067443920f , +0.997290457f , 0.073564564f , +0.996820299f , 0.079682438f , +0.996312612f , 0.085797312f , +0.995767414f , 0.091908956f , +0.995184727f , 0.098017140f , +0.994564571f , 0.104121634f , +0.993906970f , 0.110222207f , +0.993211949f , 0.116318631f , +0.992479535f , 0.122410675f , +0.991709754f , 0.128498111f , +0.990902635f , 0.134580709f , +0.990058210f , 0.140658239f , +0.989176510f , 0.146730474f , +0.988257568f , 0.152797185f , +0.987301418f , 0.158858143f , 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+0.999322385f , -0.036807223f , +0.999529418f , -0.030674803f , +0.999698819f , -0.024541229f , +0.999830582f , -0.018406730f , +0.999924702f , -0.012271538f , +0.999981175f , -0.006135885f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +* 
for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 2048 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_2048[4096] = { + 1.000000000f, 0.000000000f, + 0.999995294f, 0.003067957f, + 0.999981175f, 0.006135885f, + 0.999957645f, 0.009203755f, + 0.999924702f, 0.012271538f, + 0.999882347f, 0.015339206f, + 0.999830582f, 0.018406730f, + 0.999769405f, 0.021474080f, + 0.999698819f, 0.024541229f, + 0.999618822f, 0.027608146f, + 0.999529418f, 0.030674803f, + 0.999430605f, 0.033741172f, + 0.999322385f, 0.036807223f, + 0.999204759f, 0.039872928f, + 0.999077728f, 0.042938257f, + 0.998941293f, 0.046003182f, + 0.998795456f, 0.049067674f, + 0.998640218f, 0.052131705f, + 0.998475581f, 0.055195244f, + 0.998301545f, 0.058258265f, + 0.998118113f, 0.061320736f, + 0.997925286f, 0.064382631f, + 0.997723067f, 0.067443920f, + 0.997511456f, 0.070504573f, + 0.997290457f, 0.073564564f, + 0.997060070f, 0.076623861f, + 0.996820299f, 0.079682438f, + 0.996571146f, 0.082740265f, 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0.999882347f, -0.015339206f, + 0.999924702f, -0.012271538f, + 0.999957645f, -0.009203755f, + 0.999981175f, -0.006135885f, + 0.999995294f, -0.003067957f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +* 
for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 4096 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_4096[8192] = { + 1.000000000f, 0.000000000f, + 0.999998823f, 0.001533980f, + 0.999995294f, 0.003067957f, + 0.999989411f, 0.004601926f, + 0.999981175f, 0.006135885f, + 0.999970586f, 0.007669829f, + 0.999957645f, 0.009203755f, + 0.999942350f, 0.010737659f, + 0.999924702f, 0.012271538f, + 0.999904701f, 0.013805389f, + 0.999882347f, 0.015339206f, + 0.999857641f, 0.016872988f, + 0.999830582f, 0.018406730f, + 0.999801170f, 0.019940429f, + 0.999769405f, 0.021474080f, + 0.999735288f, 0.023007681f, + 0.999698819f, 0.024541229f, + 0.999659997f, 0.026074718f, + 0.999618822f, 0.027608146f, + 0.999575296f, 0.029141509f, + 0.999529418f, 0.030674803f, + 0.999481187f, 0.032208025f, + 0.999430605f, 0.033741172f, + 0.999377670f, 0.035274239f, + 0.999322385f, 0.036807223f, + 0.999264747f, 0.038340120f, + 0.999204759f, 0.039872928f, + 0.999142419f, 0.041405641f, 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0.987784142f, -0.155828398f, + 0.988022017f, -0.154312973f, + 0.988257568f, -0.152797185f, + 0.988490793f, -0.151281038f, + 0.988721692f, -0.149764535f, + 0.988950265f, -0.148247679f, + 0.989176510f, -0.146730474f, + 0.989400428f, -0.145212925f, + 0.989622017f, -0.143695033f, + 0.989841278f, -0.142176804f, + 0.990058210f, -0.140658239f, + 0.990272812f, -0.139139344f, + 0.990485084f, -0.137620122f, + 0.990695025f, -0.136100575f, + 0.990902635f, -0.134580709f, + 0.991107914f, -0.133060525f, + 0.991310860f, -0.131540029f, + 0.991511473f, -0.130019223f, + 0.991709754f, -0.128498111f, + 0.991905700f, -0.126976696f, + 0.992099313f, -0.125454983f, + 0.992290591f, -0.123932975f, + 0.992479535f, -0.122410675f, + 0.992666142f, -0.120888087f, + 0.992850414f, -0.119365215f, + 0.993032350f, -0.117842062f, + 0.993211949f, -0.116318631f, + 0.993389211f, -0.114794927f, + 0.993564136f, -0.113270952f, + 0.993736722f, -0.111746711f, + 0.993906970f, -0.110222207f, + 0.994074879f, -0.108697444f, + 0.994240449f, -0.107172425f, + 0.994403680f, -0.105647154f, + 0.994564571f, -0.104121634f, + 0.994723121f, -0.102595869f, + 0.994879331f, -0.101069863f, + 0.995033199f, -0.099543619f, + 0.995184727f, -0.098017140f, + 0.995333912f, -0.096490431f, + 0.995480755f, -0.094963495f, + 0.995625256f, -0.093436336f, + 0.995767414f, -0.091908956f, + 0.995907229f, -0.090381361f, + 0.996044701f, -0.088853553f, + 0.996179829f, -0.087325535f, + 0.996312612f, -0.085797312f, + 0.996443051f, -0.084268888f, + 0.996571146f, -0.082740265f, + 0.996696895f, -0.081211447f, + 0.996820299f, -0.079682438f, + 0.996941358f, -0.078153242f, + 0.997060070f, -0.076623861f, + 0.997176437f, -0.075094301f, + 0.997290457f, -0.073564564f, + 0.997402130f, -0.072034653f, + 0.997511456f, -0.070504573f, + 0.997618435f, -0.068974328f, + 0.997723067f, -0.067443920f, + 0.997825350f, -0.065913353f, + 0.997925286f, -0.064382631f, + 0.998022874f, -0.062851758f, + 0.998118113f, -0.061320736f, + 0.998211003f, -0.059789571f, + 0.998301545f, -0.058258265f, + 0.998389737f, -0.056726821f, + 0.998475581f, -0.055195244f, + 0.998559074f, -0.053663538f, + 0.998640218f, -0.052131705f, + 0.998719012f, -0.050599749f, + 0.998795456f, -0.049067674f, + 0.998869550f, -0.047535484f, + 0.998941293f, -0.046003182f, + 0.999010686f, -0.044470772f, + 0.999077728f, -0.042938257f, + 0.999142419f, -0.041405641f, + 0.999204759f, -0.039872928f, + 0.999264747f, -0.038340120f, + 0.999322385f, -0.036807223f, + 0.999377670f, -0.035274239f, + 0.999430605f, -0.033741172f, + 0.999481187f, -0.032208025f, + 0.999529418f, -0.030674803f, + 0.999575296f, -0.029141509f, + 0.999618822f, -0.027608146f, + 0.999659997f, -0.026074718f, + 0.999698819f, -0.024541229f, + 0.999735288f, -0.023007681f, + 0.999769405f, -0.021474080f, + 0.999801170f, -0.019940429f, + 0.999830582f, -0.018406730f, + 0.999857641f, -0.016872988f, + 0.999882347f, -0.015339206f, + 0.999904701f, -0.013805389f, + 0.999924702f, -0.012271538f, + 0.999942350f, -0.010737659f, + 0.999957645f, -0.009203755f, + 0.999970586f, -0.007669829f, + 0.999981175f, -0.006135885f, + 0.999989411f, -0.004601926f, + 0.999995294f, -0.003067957f, + 0.999998823f, -0.001533980f +}; + +/* +* @brief Q31 Twiddle factors Table +*/ + + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 16 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_16_q31[24] = { + 0x7FFFFFFF, 0x00000000, + 0x7641AF3C, 0x30FBC54D, + 0x5A82799A, 0x5A82799A, + 0x30FBC54D, 0x7641AF3C, + 0x00000000, 0x7FFFFFFF, + 0xCF043AB2, 0x7641AF3C, + 0xA57D8666, 0x5A82799A, + 0x89BE50C3, 0x30FBC54D, + 0x80000000, 0x00000000, + 0x89BE50C3, 0xCF043AB2, + 0xA57D8666, 0xA57D8666, + 0xCF043AB2, 0x89BE50C3 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 32 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_32_q31[48] = { + 0x7FFFFFFF, 0x00000000, + 0x7D8A5F3F, 0x18F8B83C, + 0x7641AF3C, 0x30FBC54D, + 0x6A6D98A4, 0x471CECE6, + 0x5A82799A, 0x5A82799A, + 0x471CECE6, 0x6A6D98A4, + 0x30FBC54D, 0x7641AF3C, + 0x18F8B83C, 0x7D8A5F3F, + 0x00000000, 0x7FFFFFFF, + 0xE70747C3, 0x7D8A5F3F, + 0xCF043AB2, 0x7641AF3C, + 0xB8E31319, 0x6A6D98A4, + 0xA57D8666, 0x5A82799A, + 0x9592675B, 0x471CECE6, + 0x89BE50C3, 0x30FBC54D, + 0x8275A0C0, 0x18F8B83C, + 0x80000000, 0x00000000, + 0x8275A0C0, 0xE70747C3, + 0x89BE50C3, 0xCF043AB2, + 0x9592675B, 0xB8E31319, + 0xA57D8666, 0xA57D8666, + 0xB8E31319, 0x9592675B, + 0xCF043AB2, 0x89BE50C3, + 0xE70747C3, 0x8275A0C0 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 64 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_64_q31[96] = { + 0x7FFFFFFF, 0x00000000, + 0x7F62368F, 0x0C8BD35E, + 0x7D8A5F3F, 0x18F8B83C, + 0x7A7D055B, 0x25280C5D, + 0x7641AF3C, 0x30FBC54D, + 0x70E2CBC6, 0x3C56BA70, + 0x6A6D98A4, 0x471CECE6, + 0x62F201AC, 0x5133CC94, + 0x5A82799A, 0x5A82799A, + 0x5133CC94, 0x62F201AC, + 0x471CECE6, 0x6A6D98A4, + 0x3C56BA70, 0x70E2CBC6, + 0x30FBC54D, 0x7641AF3C, + 0x25280C5D, 0x7A7D055B, + 0x18F8B83C, 0x7D8A5F3F, + 0x0C8BD35E, 0x7F62368F, + 0x00000000, 0x7FFFFFFF, + 0xF3742CA1, 0x7F62368F, + 0xE70747C3, 0x7D8A5F3F, + 0xDAD7F3A2, 0x7A7D055B, + 0xCF043AB2, 0x7641AF3C, + 0xC3A9458F, 0x70E2CBC6, + 0xB8E31319, 0x6A6D98A4, + 0xAECC336B, 0x62F201AC, + 0xA57D8666, 0x5A82799A, + 0x9D0DFE53, 0x5133CC94, + 0x9592675B, 0x471CECE6, + 0x8F1D343A, 0x3C56BA70, + 0x89BE50C3, 0x30FBC54D, + 0x8582FAA4, 0x25280C5D, + 0x8275A0C0, 0x18F8B83C, + 0x809DC970, 0x0C8BD35E, + 0x80000000, 0x00000000, + 0x809DC970, 0xF3742CA1, + 0x8275A0C0, 0xE70747C3, + 0x8582FAA4, 0xDAD7F3A2, + 0x89BE50C3, 0xCF043AB2, + 0x8F1D343A, 0xC3A9458F, + 0x9592675B, 0xB8E31319, + 0x9D0DFE53, 0xAECC336B, + 0xA57D8666, 0xA57D8666, + 0xAECC336B, 0x9D0DFE53, + 0xB8E31319, 0x9592675B, + 0xC3A9458F, 0x8F1D343A, + 0xCF043AB2, 0x89BE50C3, + 0xDAD7F3A2, 0x8582FAA4, + 0xE70747C3, 0x8275A0C0, + 0xF3742CA1, 0x809DC970 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 128 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_128_q31[192] = { + 0x7FFFFFFF, 0x00000000, + 0x7FD8878D, 0x0647D97C, + 0x7F62368F, 0x0C8BD35E, + 0x7E9D55FC, 0x12C8106E, + 0x7D8A5F3F, 0x18F8B83C, + 0x7C29FBEE, 0x1F19F97B, + 0x7A7D055B, 0x25280C5D, + 0x78848413, 0x2B1F34EB, + 0x7641AF3C, 0x30FBC54D, + 0x73B5EBD0, 0x36BA2013, + 0x70E2CBC6, 0x3C56BA70, + 0x6DCA0D14, 0x41CE1E64, + 0x6A6D98A4, 0x471CECE6, + 0x66CF811F, 0x4C3FDFF3, + 0x62F201AC, 0x5133CC94, + 0x5ED77C89, 0x55F5A4D2, + 0x5A82799A, 0x5A82799A, + 0x55F5A4D2, 0x5ED77C89, + 0x5133CC94, 0x62F201AC, + 0x4C3FDFF3, 0x66CF811F, + 0x471CECE6, 0x6A6D98A4, + 0x41CE1E64, 0x6DCA0D14, + 0x3C56BA70, 0x70E2CBC6, + 0x36BA2013, 0x73B5EBD0, + 0x30FBC54D, 0x7641AF3C, + 0x2B1F34EB, 0x78848413, + 0x25280C5D, 0x7A7D055B, + 0x1F19F97B, 0x7C29FBEE, + 0x18F8B83C, 0x7D8A5F3F, + 0x12C8106E, 0x7E9D55FC, + 0x0C8BD35E, 0x7F62368F, + 0x0647D97C, 0x7FD8878D, + 0x00000000, 0x7FFFFFFF, + 0xF9B82683, 0x7FD8878D, + 0xF3742CA1, 0x7F62368F, + 0xED37EF91, 0x7E9D55FC, + 0xE70747C3, 0x7D8A5F3F, + 0xE0E60684, 0x7C29FBEE, + 0xDAD7F3A2, 0x7A7D055B, + 0xD4E0CB14, 0x78848413, + 0xCF043AB2, 0x7641AF3C, + 0xC945DFEC, 0x73B5EBD0, + 0xC3A9458F, 0x70E2CBC6, + 0xBE31E19B, 0x6DCA0D14, + 0xB8E31319, 0x6A6D98A4, + 0xB3C0200C, 0x66CF811F, + 0xAECC336B, 0x62F201AC, + 0xAA0A5B2D, 0x5ED77C89, + 0xA57D8666, 0x5A82799A, + 0xA1288376, 0x55F5A4D2, + 0x9D0DFE53, 0x5133CC94, + 0x99307EE0, 0x4C3FDFF3, + 0x9592675B, 0x471CECE6, + 0x9235F2EB, 0x41CE1E64, + 0x8F1D343A, 0x3C56BA70, + 0x8C4A142F, 0x36BA2013, + 0x89BE50C3, 0x30FBC54D, + 0x877B7BEC, 0x2B1F34EB, + 0x8582FAA4, 0x25280C5D, + 0x83D60411, 0x1F19F97B, + 0x8275A0C0, 0x18F8B83C, + 0x8162AA03, 0x12C8106E, + 0x809DC970, 0x0C8BD35E, + 0x80277872, 0x0647D97C, + 0x80000000, 0x00000000, + 0x80277872, 0xF9B82683, + 0x809DC970, 0xF3742CA1, + 0x8162AA03, 0xED37EF91, + 0x8275A0C0, 0xE70747C3, + 0x83D60411, 0xE0E60684, + 0x8582FAA4, 0xDAD7F3A2, + 0x877B7BEC, 0xD4E0CB14, + 0x89BE50C3, 0xCF043AB2, + 0x8C4A142F, 0xC945DFEC, + 0x8F1D343A, 0xC3A9458F, + 0x9235F2EB, 0xBE31E19B, + 0x9592675B, 0xB8E31319, + 0x99307EE0, 0xB3C0200C, + 0x9D0DFE53, 0xAECC336B, + 0xA1288376, 0xAA0A5B2D, + 0xA57D8666, 0xA57D8666, + 0xAA0A5B2D, 0xA1288376, + 0xAECC336B, 0x9D0DFE53, + 0xB3C0200C, 0x99307EE0, + 0xB8E31319, 0x9592675B, + 0xBE31E19B, 0x9235F2EB, + 0xC3A9458F, 0x8F1D343A, + 0xC945DFEC, 0x8C4A142F, + 0xCF043AB2, 0x89BE50C3, + 0xD4E0CB14, 0x877B7BEC, + 0xDAD7F3A2, 0x8582FAA4, + 0xE0E60684, 0x83D60411, + 0xE70747C3, 0x8275A0C0, + 0xED37EF91, 0x8162AA03, + 0xF3742CA1, 0x809DC970, + 0xF9B82683, 0x80277872 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 256 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_256_q31[384] = { + 0x7FFFFFFF, 0x00000000, + 0x7FF62182, 0x03242ABF, + 0x7FD8878D, 0x0647D97C, + 0x7FA736B4, 0x096A9049, + 0x7F62368F, 0x0C8BD35E, + 0x7F0991C3, 0x0FAB272B, + 0x7E9D55FC, 0x12C8106E, + 0x7E1D93E9, 0x15E21444, + 0x7D8A5F3F, 0x18F8B83C, + 0x7CE3CEB1, 0x1C0B826A, + 0x7C29FBEE, 0x1F19F97B, + 0x7B5D039D, 0x2223A4C5, + 0x7A7D055B, 0x25280C5D, + 0x798A23B1, 0x2826B928, + 0x78848413, 0x2B1F34EB, + 0x776C4EDB, 0x2E110A62, + 0x7641AF3C, 0x30FBC54D, + 0x7504D345, 0x33DEF287, + 0x73B5EBD0, 0x36BA2013, + 0x72552C84, 0x398CDD32, + 0x70E2CBC6, 0x3C56BA70, + 0x6F5F02B1, 0x3F1749B7, + 0x6DCA0D14, 0x41CE1E64, + 0x6C242960, 0x447ACD50, + 0x6A6D98A4, 0x471CECE6, + 0x68A69E81, 0x49B41533, + 0x66CF811F, 0x4C3FDFF3, + 0x64E88926, 0x4EBFE8A4, + 0x62F201AC, 0x5133CC94, + 0x60EC3830, 0x539B2AEF, + 0x5ED77C89, 0x55F5A4D2, + 0x5CB420DF, 0x5842DD54, + 0x5A82799A, 0x5A82799A, + 0x5842DD54, 0x5CB420DF, + 0x55F5A4D2, 0x5ED77C89, + 0x539B2AEF, 0x60EC3830, + 0x5133CC94, 0x62F201AC, + 0x4EBFE8A4, 0x64E88926, + 0x4C3FDFF3, 0x66CF811F, + 0x49B41533, 0x68A69E81, + 0x471CECE6, 0x6A6D98A4, + 0x447ACD50, 0x6C242960, + 0x41CE1E64, 0x6DCA0D14, + 0x3F1749B7, 0x6F5F02B1, + 0x3C56BA70, 0x70E2CBC6, + 0x398CDD32, 0x72552C84, + 0x36BA2013, 0x73B5EBD0, + 0x33DEF287, 0x7504D345, + 0x30FBC54D, 0x7641AF3C, + 0x2E110A62, 0x776C4EDB, + 0x2B1F34EB, 0x78848413, + 0x2826B928, 0x798A23B1, + 0x25280C5D, 0x7A7D055B, + 0x2223A4C5, 0x7B5D039D, + 0x1F19F97B, 0x7C29FBEE, + 0x1C0B826A, 0x7CE3CEB1, + 0x18F8B83C, 0x7D8A5F3F, + 0x15E21444, 0x7E1D93E9, + 0x12C8106E, 0x7E9D55FC, + 0x0FAB272B, 0x7F0991C3, + 0x0C8BD35E, 0x7F62368F, + 0x096A9049, 0x7FA736B4, + 0x0647D97C, 0x7FD8878D, + 0x03242ABF, 0x7FF62182, + 0x00000000, 0x7FFFFFFF, + 0xFCDBD541, 0x7FF62182, + 0xF9B82683, 0x7FD8878D, + 0xF6956FB6, 0x7FA736B4, + 0xF3742CA1, 0x7F62368F, + 0xF054D8D4, 0x7F0991C3, + 0xED37EF91, 0x7E9D55FC, + 0xEA1DEBBB, 0x7E1D93E9, + 0xE70747C3, 0x7D8A5F3F, + 0xE3F47D95, 0x7CE3CEB1, + 0xE0E60684, 0x7C29FBEE, + 0xDDDC5B3A, 0x7B5D039D, + 0xDAD7F3A2, 0x7A7D055B, + 0xD7D946D7, 0x798A23B1, + 0xD4E0CB14, 0x78848413, + 0xD1EEF59E, 0x776C4EDB, + 0xCF043AB2, 0x7641AF3C, + 0xCC210D78, 0x7504D345, + 0xC945DFEC, 0x73B5EBD0, + 0xC67322CD, 0x72552C84, + 0xC3A9458F, 0x70E2CBC6, + 0xC0E8B648, 0x6F5F02B1, + 0xBE31E19B, 0x6DCA0D14, + 0xBB8532AF, 0x6C242960, + 0xB8E31319, 0x6A6D98A4, + 0xB64BEACC, 0x68A69E81, + 0xB3C0200C, 0x66CF811F, + 0xB140175B, 0x64E88926, + 0xAECC336B, 0x62F201AC, + 0xAC64D510, 0x60EC3830, + 0xAA0A5B2D, 0x5ED77C89, + 0xA7BD22AB, 0x5CB420DF, + 0xA57D8666, 0x5A82799A, + 0xA34BDF20, 0x5842DD54, + 0xA1288376, 0x55F5A4D2, + 0x9F13C7D0, 0x539B2AEF, + 0x9D0DFE53, 0x5133CC94, + 0x9B1776D9, 0x4EBFE8A4, + 0x99307EE0, 0x4C3FDFF3, + 0x9759617E, 0x49B41533, + 0x9592675B, 0x471CECE6, + 0x93DBD69F, 0x447ACD50, + 0x9235F2EB, 0x41CE1E64, + 0x90A0FD4E, 0x3F1749B7, + 0x8F1D343A, 0x3C56BA70, + 0x8DAAD37B, 0x398CDD32, + 0x8C4A142F, 0x36BA2013, + 0x8AFB2CBA, 0x33DEF287, + 0x89BE50C3, 0x30FBC54D, + 0x8893B124, 0x2E110A62, + 0x877B7BEC, 0x2B1F34EB, + 0x8675DC4E, 0x2826B928, + 0x8582FAA4, 0x25280C5D, + 0x84A2FC62, 0x2223A4C5, + 0x83D60411, 0x1F19F97B, + 0x831C314E, 0x1C0B826A, + 0x8275A0C0, 0x18F8B83C, + 0x81E26C16, 0x15E21444, + 0x8162AA03, 0x12C8106E, + 0x80F66E3C, 0x0FAB272B, + 0x809DC970, 0x0C8BD35E, + 0x8058C94C, 0x096A9049, + 0x80277872, 0x0647D97C, + 0x8009DE7D, 0x03242ABF, + 0x80000000, 0x00000000, + 0x8009DE7D, 0xFCDBD541, + 0x80277872, 0xF9B82683, + 0x8058C94C, 0xF6956FB6, + 0x809DC970, 0xF3742CA1, + 0x80F66E3C, 0xF054D8D4, + 0x8162AA03, 0xED37EF91, + 0x81E26C16, 0xEA1DEBBB, + 0x8275A0C0, 0xE70747C3, + 0x831C314E, 0xE3F47D95, + 0x83D60411, 0xE0E60684, + 0x84A2FC62, 0xDDDC5B3A, + 0x8582FAA4, 0xDAD7F3A2, + 0x8675DC4E, 0xD7D946D7, + 0x877B7BEC, 0xD4E0CB14, + 0x8893B124, 0xD1EEF59E, + 0x89BE50C3, 0xCF043AB2, + 0x8AFB2CBA, 0xCC210D78, + 0x8C4A142F, 0xC945DFEC, + 0x8DAAD37B, 0xC67322CD, + 0x8F1D343A, 0xC3A9458F, + 0x90A0FD4E, 0xC0E8B648, + 0x9235F2EB, 0xBE31E19B, + 0x93DBD69F, 0xBB8532AF, + 0x9592675B, 0xB8E31319, + 0x9759617E, 0xB64BEACC, + 0x99307EE0, 0xB3C0200C, + 0x9B1776D9, 0xB140175B, + 0x9D0DFE53, 0xAECC336B, + 0x9F13C7D0, 0xAC64D510, + 0xA1288376, 0xAA0A5B2D, + 0xA34BDF20, 0xA7BD22AB, + 0xA57D8666, 0xA57D8666, + 0xA7BD22AB, 0xA34BDF20, + 0xAA0A5B2D, 0xA1288376, + 0xAC64D510, 0x9F13C7D0, + 0xAECC336B, 0x9D0DFE53, + 0xB140175B, 0x9B1776D9, + 0xB3C0200C, 0x99307EE0, + 0xB64BEACC, 0x9759617E, + 0xB8E31319, 0x9592675B, + 0xBB8532AF, 0x93DBD69F, + 0xBE31E19B, 0x9235F2EB, + 0xC0E8B648, 0x90A0FD4E, + 0xC3A9458F, 0x8F1D343A, + 0xC67322CD, 0x8DAAD37B, + 0xC945DFEC, 0x8C4A142F, + 0xCC210D78, 0x8AFB2CBA, + 0xCF043AB2, 0x89BE50C3, + 0xD1EEF59E, 0x8893B124, + 0xD4E0CB14, 0x877B7BEC, + 0xD7D946D7, 0x8675DC4E, + 0xDAD7F3A2, 0x8582FAA4, + 0xDDDC5B3A, 0x84A2FC62, + 0xE0E60684, 0x83D60411, + 0xE3F47D95, 0x831C314E, + 0xE70747C3, 0x8275A0C0, + 0xEA1DEBBB, 0x81E26C16, + 0xED37EF91, 0x8162AA03, + 0xF054D8D4, 0x80F66E3C, + 0xF3742CA1, 0x809DC970, + 0xF6956FB6, 0x8058C94C, + 0xF9B82683, 0x80277872, + 0xFCDBD541, 0x8009DE7D +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 512 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_512_q31[768] = { + 0x7FFFFFFF, 0x00000000, + 0x7FFD885A, 0x01921D1F, + 0x7FF62182, 0x03242ABF, + 0x7FE9CBC0, 0x04B6195D, + 0x7FD8878D, 0x0647D97C, + 0x7FC25596, 0x07D95B9E, + 0x7FA736B4, 0x096A9049, + 0x7F872BF3, 0x0AFB6805, + 0x7F62368F, 0x0C8BD35E, + 0x7F3857F5, 0x0E1BC2E3, + 0x7F0991C3, 0x0FAB272B, + 0x7ED5E5C6, 0x1139F0CE, + 0x7E9D55FC, 0x12C8106E, + 0x7E5FE493, 0x145576B1, + 0x7E1D93E9, 0x15E21444, + 0x7DD6668E, 0x176DD9DE, + 0x7D8A5F3F, 0x18F8B83C, + 0x7D3980EC, 0x1A82A025, + 0x7CE3CEB1, 0x1C0B826A, + 0x7C894BDD, 0x1D934FE5, + 0x7C29FBEE, 0x1F19F97B, + 0x7BC5E28F, 0x209F701C, + 0x7B5D039D, 0x2223A4C5, + 0x7AEF6323, 0x23A6887E, + 0x7A7D055B, 0x25280C5D, + 0x7A05EEAD, 0x26A82185, + 0x798A23B1, 0x2826B928, + 0x7909A92C, 0x29A3C484, + 0x78848413, 0x2B1F34EB, + 0x77FAB988, 0x2C98FBBA, + 0x776C4EDB, 0x2E110A62, + 0x76D94988, 0x2F875262, + 0x7641AF3C, 0x30FBC54D, + 0x75A585CF, 0x326E54C7, + 0x7504D345, 0x33DEF287, + 0x745F9DD1, 0x354D9056, + 0x73B5EBD0, 0x36BA2013, + 0x7307C3D0, 0x382493B0, + 0x72552C84, 0x398CDD32, + 0x719E2CD2, 0x3AF2EEB7, + 0x70E2CBC6, 0x3C56BA70, + 0x70231099, 0x3DB832A5, + 0x6F5F02B1, 0x3F1749B7, + 0x6E96A99C, 0x4073F21D, + 0x6DCA0D14, 0x41CE1E64, + 0x6CF934FB, 0x4325C135, + 0x6C242960, 0x447ACD50, + 0x6B4AF278, 0x45CD358F, + 0x6A6D98A4, 0x471CECE6, + 0x698C246C, 0x4869E664, + 0x68A69E81, 0x49B41533, + 0x67BD0FBC, 0x4AFB6C97, + 0x66CF811F, 0x4C3FDFF3, + 0x65DDFBD3, 0x4D8162C4, + 0x64E88926, 0x4EBFE8A4, + 0x63EF328F, 0x4FFB654D, + 0x62F201AC, 0x5133CC94, + 0x61F1003E, 0x5269126E, + 0x60EC3830, 0x539B2AEF, + 0x5FE3B38D, 0x54CA0A4A, + 0x5ED77C89, 0x55F5A4D2, + 0x5DC79D7C, 0x571DEEF9, + 0x5CB420DF, 0x5842DD54, + 0x5B9D1153, 0x59646497, + 0x5A82799A, 0x5A82799A, + 0x59646497, 0x5B9D1153, + 0x5842DD54, 0x5CB420DF, + 0x571DEEF9, 0x5DC79D7C, + 0x55F5A4D2, 0x5ED77C89, + 0x54CA0A4A, 0x5FE3B38D, + 0x539B2AEF, 0x60EC3830, + 0x5269126E, 0x61F1003E, + 0x5133CC94, 0x62F201AC, + 0x4FFB654D, 0x63EF328F, + 0x4EBFE8A4, 0x64E88926, + 0x4D8162C4, 0x65DDFBD3, + 0x4C3FDFF3, 0x66CF811F, + 0x4AFB6C97, 0x67BD0FBC, + 0x49B41533, 0x68A69E81, + 0x4869E664, 0x698C246C, + 0x471CECE6, 0x6A6D98A4, + 0x45CD358F, 0x6B4AF278, + 0x447ACD50, 0x6C242960, + 0x4325C135, 0x6CF934FB, + 0x41CE1E64, 0x6DCA0D14, + 0x4073F21D, 0x6E96A99C, + 0x3F1749B7, 0x6F5F02B1, + 0x3DB832A5, 0x70231099, + 0x3C56BA70, 0x70E2CBC6, + 0x3AF2EEB7, 0x719E2CD2, + 0x398CDD32, 0x72552C84, + 0x382493B0, 0x7307C3D0, + 0x36BA2013, 0x73B5EBD0, + 0x354D9056, 0x745F9DD1, + 0x33DEF287, 0x7504D345, + 0x326E54C7, 0x75A585CF, + 0x30FBC54D, 0x7641AF3C, + 0x2F875262, 0x76D94988, + 0x2E110A62, 0x776C4EDB, + 0x2C98FBBA, 0x77FAB988, + 0x2B1F34EB, 0x78848413, + 0x29A3C484, 0x7909A92C, + 0x2826B928, 0x798A23B1, + 0x26A82185, 0x7A05EEAD, + 0x25280C5D, 0x7A7D055B, + 0x23A6887E, 0x7AEF6323, + 0x2223A4C5, 0x7B5D039D, + 0x209F701C, 0x7BC5E28F, + 0x1F19F97B, 0x7C29FBEE, + 0x1D934FE5, 0x7C894BDD, + 0x1C0B826A, 0x7CE3CEB1, + 0x1A82A025, 0x7D3980EC, + 0x18F8B83C, 0x7D8A5F3F, + 0x176DD9DE, 0x7DD6668E, + 0x15E21444, 0x7E1D93E9, + 0x145576B1, 0x7E5FE493, + 0x12C8106E, 0x7E9D55FC, + 0x1139F0CE, 0x7ED5E5C6, + 0x0FAB272B, 0x7F0991C3, + 0x0E1BC2E3, 0x7F3857F5, + 0x0C8BD35E, 0x7F62368F, + 0x0AFB6805, 0x7F872BF3, + 0x096A9049, 0x7FA736B4, + 0x07D95B9E, 0x7FC25596, + 0x0647D97C, 0x7FD8878D, + 0x04B6195D, 0x7FE9CBC0, + 0x03242ABF, 0x7FF62182, + 0x01921D1F, 0x7FFD885A, + 0x00000000, 0x7FFFFFFF, + 0xFE6DE2E0, 0x7FFD885A, + 0xFCDBD541, 0x7FF62182, + 0xFB49E6A2, 0x7FE9CBC0, + 0xF9B82683, 0x7FD8878D, + 0xF826A461, 0x7FC25596, + 0xF6956FB6, 0x7FA736B4, + 0xF50497FA, 0x7F872BF3, + 0xF3742CA1, 0x7F62368F, + 0xF1E43D1C, 0x7F3857F5, + 0xF054D8D4, 0x7F0991C3, + 0xEEC60F31, 0x7ED5E5C6, + 0xED37EF91, 0x7E9D55FC, + 0xEBAA894E, 0x7E5FE493, + 0xEA1DEBBB, 0x7E1D93E9, + 0xE8922621, 0x7DD6668E, + 0xE70747C3, 0x7D8A5F3F, + 0xE57D5FDA, 0x7D3980EC, + 0xE3F47D95, 0x7CE3CEB1, + 0xE26CB01A, 0x7C894BDD, + 0xE0E60684, 0x7C29FBEE, + 0xDF608FE3, 0x7BC5E28F, + 0xDDDC5B3A, 0x7B5D039D, + 0xDC597781, 0x7AEF6323, + 0xDAD7F3A2, 0x7A7D055B, + 0xD957DE7A, 0x7A05EEAD, + 0xD7D946D7, 0x798A23B1, + 0xD65C3B7B, 0x7909A92C, + 0xD4E0CB14, 0x78848413, + 0xD3670445, 0x77FAB988, + 0xD1EEF59E, 0x776C4EDB, + 0xD078AD9D, 0x76D94988, + 0xCF043AB2, 0x7641AF3C, + 0xCD91AB38, 0x75A585CF, + 0xCC210D78, 0x7504D345, + 0xCAB26FA9, 0x745F9DD1, + 0xC945DFEC, 0x73B5EBD0, + 0xC7DB6C50, 0x7307C3D0, + 0xC67322CD, 0x72552C84, + 0xC50D1148, 0x719E2CD2, + 0xC3A9458F, 0x70E2CBC6, + 0xC247CD5A, 0x70231099, + 0xC0E8B648, 0x6F5F02B1, + 0xBF8C0DE2, 0x6E96A99C, + 0xBE31E19B, 0x6DCA0D14, + 0xBCDA3ECA, 0x6CF934FB, + 0xBB8532AF, 0x6C242960, + 0xBA32CA70, 0x6B4AF278, + 0xB8E31319, 0x6A6D98A4, + 0xB796199B, 0x698C246C, + 0xB64BEACC, 0x68A69E81, + 0xB5049368, 0x67BD0FBC, + 0xB3C0200C, 0x66CF811F, + 0xB27E9D3B, 0x65DDFBD3, + 0xB140175B, 0x64E88926, + 0xB0049AB2, 0x63EF328F, + 0xAECC336B, 0x62F201AC, + 0xAD96ED91, 0x61F1003E, + 0xAC64D510, 0x60EC3830, + 0xAB35F5B5, 0x5FE3B38D, + 0xAA0A5B2D, 0x5ED77C89, + 0xA8E21106, 0x5DC79D7C, + 0xA7BD22AB, 0x5CB420DF, + 0xA69B9B68, 0x5B9D1153, + 0xA57D8666, 0x5A82799A, + 0xA462EEAC, 0x59646497, + 0xA34BDF20, 0x5842DD54, + 0xA2386283, 0x571DEEF9, + 0xA1288376, 0x55F5A4D2, + 0xA01C4C72, 0x54CA0A4A, + 0x9F13C7D0, 0x539B2AEF, + 0x9E0EFFC1, 0x5269126E, + 0x9D0DFE53, 0x5133CC94, + 0x9C10CD70, 0x4FFB654D, + 0x9B1776D9, 0x4EBFE8A4, + 0x9A22042C, 0x4D8162C4, + 0x99307EE0, 0x4C3FDFF3, + 0x9842F043, 0x4AFB6C97, + 0x9759617E, 0x49B41533, + 0x9673DB94, 0x4869E664, + 0x9592675B, 0x471CECE6, + 0x94B50D87, 0x45CD358F, + 0x93DBD69F, 0x447ACD50, + 0x9306CB04, 0x4325C135, + 0x9235F2EB, 0x41CE1E64, + 0x91695663, 0x4073F21D, + 0x90A0FD4E, 0x3F1749B7, + 0x8FDCEF66, 0x3DB832A5, + 0x8F1D343A, 0x3C56BA70, + 0x8E61D32D, 0x3AF2EEB7, + 0x8DAAD37B, 0x398CDD32, + 0x8CF83C30, 0x382493B0, + 0x8C4A142F, 0x36BA2013, + 0x8BA0622F, 0x354D9056, + 0x8AFB2CBA, 0x33DEF287, + 0x8A5A7A30, 0x326E54C7, + 0x89BE50C3, 0x30FBC54D, + 0x8926B677, 0x2F875262, + 0x8893B124, 0x2E110A62, + 0x88054677, 0x2C98FBBA, + 0x877B7BEC, 0x2B1F34EB, + 0x86F656D3, 0x29A3C484, + 0x8675DC4E, 0x2826B928, + 0x85FA1152, 0x26A82185, + 0x8582FAA4, 0x25280C5D, + 0x85109CDC, 0x23A6887E, + 0x84A2FC62, 0x2223A4C5, + 0x843A1D70, 0x209F701C, + 0x83D60411, 0x1F19F97B, + 0x8376B422, 0x1D934FE5, + 0x831C314E, 0x1C0B826A, + 0x82C67F13, 0x1A82A025, + 0x8275A0C0, 0x18F8B83C, + 0x82299971, 0x176DD9DE, + 0x81E26C16, 0x15E21444, + 0x81A01B6C, 0x145576B1, + 0x8162AA03, 0x12C8106E, + 0x812A1A39, 0x1139F0CE, + 0x80F66E3C, 0x0FAB272B, + 0x80C7A80A, 0x0E1BC2E3, + 0x809DC970, 0x0C8BD35E, + 0x8078D40D, 0x0AFB6805, + 0x8058C94C, 0x096A9049, + 0x803DAA69, 0x07D95B9E, + 0x80277872, 0x0647D97C, + 0x80163440, 0x04B6195D, + 0x8009DE7D, 0x03242ABF, + 0x800277A5, 0x01921D1F, + 0x80000000, 0x00000000, + 0x800277A5, 0xFE6DE2E0, + 0x8009DE7D, 0xFCDBD541, + 0x80163440, 0xFB49E6A2, + 0x80277872, 0xF9B82683, + 0x803DAA69, 0xF826A461, + 0x8058C94C, 0xF6956FB6, + 0x8078D40D, 0xF50497FA, + 0x809DC970, 0xF3742CA1, + 0x80C7A80A, 0xF1E43D1C, + 0x80F66E3C, 0xF054D8D4, + 0x812A1A39, 0xEEC60F31, + 0x8162AA03, 0xED37EF91, + 0x81A01B6C, 0xEBAA894E, + 0x81E26C16, 0xEA1DEBBB, + 0x82299971, 0xE8922621, + 0x8275A0C0, 0xE70747C3, + 0x82C67F13, 0xE57D5FDA, + 0x831C314E, 0xE3F47D95, + 0x8376B422, 0xE26CB01A, + 0x83D60411, 0xE0E60684, + 0x843A1D70, 0xDF608FE3, + 0x84A2FC62, 0xDDDC5B3A, + 0x85109CDC, 0xDC597781, + 0x8582FAA4, 0xDAD7F3A2, + 0x85FA1152, 0xD957DE7A, + 0x8675DC4E, 0xD7D946D7, + 0x86F656D3, 0xD65C3B7B, + 0x877B7BEC, 0xD4E0CB14, + 0x88054677, 0xD3670445, + 0x8893B124, 0xD1EEF59E, + 0x8926B677, 0xD078AD9D, + 0x89BE50C3, 0xCF043AB2, + 0x8A5A7A30, 0xCD91AB38, + 0x8AFB2CBA, 0xCC210D78, + 0x8BA0622F, 0xCAB26FA9, + 0x8C4A142F, 0xC945DFEC, + 0x8CF83C30, 0xC7DB6C50, + 0x8DAAD37B, 0xC67322CD, + 0x8E61D32D, 0xC50D1148, + 0x8F1D343A, 0xC3A9458F, + 0x8FDCEF66, 0xC247CD5A, + 0x90A0FD4E, 0xC0E8B648, + 0x91695663, 0xBF8C0DE2, + 0x9235F2EB, 0xBE31E19B, + 0x9306CB04, 0xBCDA3ECA, + 0x93DBD69F, 0xBB8532AF, + 0x94B50D87, 0xBA32CA70, + 0x9592675B, 0xB8E31319, + 0x9673DB94, 0xB796199B, + 0x9759617E, 0xB64BEACC, + 0x9842F043, 0xB5049368, + 0x99307EE0, 0xB3C0200C, + 0x9A22042C, 0xB27E9D3B, + 0x9B1776D9, 0xB140175B, + 0x9C10CD70, 0xB0049AB2, + 0x9D0DFE53, 0xAECC336B, + 0x9E0EFFC1, 0xAD96ED91, + 0x9F13C7D0, 0xAC64D510, + 0xA01C4C72, 0xAB35F5B5, + 0xA1288376, 0xAA0A5B2D, + 0xA2386283, 0xA8E21106, + 0xA34BDF20, 0xA7BD22AB, + 0xA462EEAC, 0xA69B9B68, + 0xA57D8666, 0xA57D8666, + 0xA69B9B68, 0xA462EEAC, + 0xA7BD22AB, 0xA34BDF20, + 0xA8E21106, 0xA2386283, + 0xAA0A5B2D, 0xA1288376, + 0xAB35F5B5, 0xA01C4C72, + 0xAC64D510, 0x9F13C7D0, + 0xAD96ED91, 0x9E0EFFC1, + 0xAECC336B, 0x9D0DFE53, + 0xB0049AB2, 0x9C10CD70, + 0xB140175B, 0x9B1776D9, + 0xB27E9D3B, 0x9A22042C, + 0xB3C0200C, 0x99307EE0, + 0xB5049368, 0x9842F043, + 0xB64BEACC, 0x9759617E, + 0xB796199B, 0x9673DB94, + 0xB8E31319, 0x9592675B, + 0xBA32CA70, 0x94B50D87, + 0xBB8532AF, 0x93DBD69F, + 0xBCDA3ECA, 0x9306CB04, + 0xBE31E19B, 0x9235F2EB, + 0xBF8C0DE2, 0x91695663, + 0xC0E8B648, 0x90A0FD4E, + 0xC247CD5A, 0x8FDCEF66, + 0xC3A9458F, 0x8F1D343A, + 0xC50D1148, 0x8E61D32D, + 0xC67322CD, 0x8DAAD37B, + 0xC7DB6C50, 0x8CF83C30, + 0xC945DFEC, 0x8C4A142F, + 0xCAB26FA9, 0x8BA0622F, + 0xCC210D78, 0x8AFB2CBA, + 0xCD91AB38, 0x8A5A7A30, + 0xCF043AB2, 0x89BE50C3, + 0xD078AD9D, 0x8926B677, + 0xD1EEF59E, 0x8893B124, + 0xD3670445, 0x88054677, + 0xD4E0CB14, 0x877B7BEC, + 0xD65C3B7B, 0x86F656D3, + 0xD7D946D7, 0x8675DC4E, + 0xD957DE7A, 0x85FA1152, + 0xDAD7F3A2, 0x8582FAA4, + 0xDC597781, 0x85109CDC, + 0xDDDC5B3A, 0x84A2FC62, + 0xDF608FE3, 0x843A1D70, + 0xE0E60684, 0x83D60411, + 0xE26CB01A, 0x8376B422, + 0xE3F47D95, 0x831C314E, + 0xE57D5FDA, 0x82C67F13, + 0xE70747C3, 0x8275A0C0, + 0xE8922621, 0x82299971, + 0xEA1DEBBB, 0x81E26C16, + 0xEBAA894E, 0x81A01B6C, + 0xED37EF91, 0x8162AA03, + 0xEEC60F31, 0x812A1A39, + 0xF054D8D4, 0x80F66E3C, + 0xF1E43D1C, 0x80C7A80A, + 0xF3742CA1, 0x809DC970, + 0xF50497FA, 0x8078D40D, + 0xF6956FB6, 0x8058C94C, + 0xF826A461, 0x803DAA69, + 0xF9B82683, 0x80277872, + 0xFB49E6A2, 0x80163440, + 0xFCDBD541, 0x8009DE7D, + 0xFE6DE2E0, 0x800277A5 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 1024 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_1024_q31[1536] = { + 0x7FFFFFFF, 0x00000000, + 0x7FFF6216, 0x00C90F88, + 0x7FFD885A, 0x01921D1F, + 0x7FFA72D1, 0x025B26D7, + 0x7FF62182, 0x03242ABF, + 0x7FF09477, 0x03ED26E6, + 0x7FE9CBC0, 0x04B6195D, + 0x7FE1C76B, 0x057F0034, + 0x7FD8878D, 0x0647D97C, + 0x7FCE0C3E, 0x0710A344, + 0x7FC25596, 0x07D95B9E, + 0x7FB563B2, 0x08A2009A, + 0x7FA736B4, 0x096A9049, + 0x7F97CEBC, 0x0A3308BC, + 0x7F872BF3, 0x0AFB6805, + 0x7F754E7F, 0x0BC3AC35, + 0x7F62368F, 0x0C8BD35E, + 0x7F4DE450, 0x0D53DB92, + 0x7F3857F5, 0x0E1BC2E3, + 0x7F2191B4, 0x0EE38765, + 0x7F0991C3, 0x0FAB272B, + 0x7EF0585F, 0x1072A047, + 0x7ED5E5C6, 0x1139F0CE, + 0x7EBA3A39, 0x120116D4, + 0x7E9D55FC, 0x12C8106E, + 0x7E7F3956, 0x138EDBB0, + 0x7E5FE493, 0x145576B1, + 0x7E3F57FE, 0x151BDF85, + 0x7E1D93E9, 0x15E21444, + 0x7DFA98A7, 0x16A81305, + 0x7DD6668E, 0x176DD9DE, + 0x7DB0FDF7, 0x183366E8, + 0x7D8A5F3F, 0x18F8B83C, + 0x7D628AC5, 0x19BDCBF2, + 0x7D3980EC, 0x1A82A025, + 0x7D0F4218, 0x1B4732EF, + 0x7CE3CEB1, 0x1C0B826A, + 0x7CB72724, 0x1CCF8CB3, + 0x7C894BDD, 0x1D934FE5, + 0x7C5A3D4F, 0x1E56CA1E, + 0x7C29FBEE, 0x1F19F97B, + 0x7BF88830, 0x1FDCDC1A, + 0x7BC5E28F, 0x209F701C, + 0x7B920B89, 0x2161B39F, + 0x7B5D039D, 0x2223A4C5, + 0x7B26CB4F, 0x22E541AE, + 0x7AEF6323, 0x23A6887E, + 0x7AB6CBA3, 0x24677757, + 0x7A7D055B, 0x25280C5D, + 0x7A4210D8, 0x25E845B5, + 0x7A05EEAD, 0x26A82185, + 0x79C89F6D, 0x27679DF4, + 0x798A23B1, 0x2826B928, + 0x794A7C11, 0x28E5714A, + 0x7909A92C, 0x29A3C484, + 0x78C7ABA1, 0x2A61B101, + 0x78848413, 0x2B1F34EB, + 0x78403328, 0x2BDC4E6F, + 0x77FAB988, 0x2C98FBBA, + 0x77B417DF, 0x2D553AFB, + 0x776C4EDB, 0x2E110A62, + 0x77235F2D, 0x2ECC681E, + 0x76D94988, 0x2F875262, + 0x768E0EA5, 0x3041C760, + 0x7641AF3C, 0x30FBC54D, + 0x75F42C0A, 0x31B54A5D, + 0x75A585CF, 0x326E54C7, + 0x7555BD4B, 0x3326E2C2, + 0x7504D345, 0x33DEF287, + 0x74B2C883, 0x3496824F, + 0x745F9DD1, 0x354D9056, + 0x740B53FA, 0x36041AD9, + 0x73B5EBD0, 0x36BA2013, + 0x735F6626, 0x376F9E46, + 0x7307C3D0, 0x382493B0, + 0x72AF05A6, 0x38D8FE93, + 0x72552C84, 0x398CDD32, + 0x71FA3948, 0x3A402DD1, + 0x719E2CD2, 0x3AF2EEB7, + 0x71410804, 0x3BA51E29, + 0x70E2CBC6, 0x3C56BA70, + 0x708378FE, 0x3D07C1D5, + 0x70231099, 0x3DB832A5, + 0x6FC19385, 0x3E680B2C, + 0x6F5F02B1, 0x3F1749B7, + 0x6EFB5F12, 0x3FC5EC97, + 0x6E96A99C, 0x4073F21D, + 0x6E30E349, 0x4121589A, + 0x6DCA0D14, 0x41CE1E64, + 0x6D6227FA, 0x427A41D0, + 0x6CF934FB, 0x4325C135, + 0x6C8F351C, 0x43D09AEC, + 0x6C242960, 0x447ACD50, + 0x6BB812D0, 0x452456BC, + 0x6B4AF278, 0x45CD358F, + 0x6ADCC964, 0x46756827, + 0x6A6D98A4, 0x471CECE6, + 0x69FD614A, 0x47C3C22E, + 0x698C246C, 0x4869E664, + 0x6919E320, 0x490F57EE, + 0x68A69E81, 0x49B41533, + 0x683257AA, 0x4A581C9D, + 0x67BD0FBC, 0x4AFB6C97, + 0x6746C7D7, 0x4B9E038F, + 0x66CF811F, 0x4C3FDFF3, + 0x66573CBB, 0x4CE10034, + 0x65DDFBD3, 0x4D8162C4, + 0x6563BF92, 0x4E210617, + 0x64E88926, 0x4EBFE8A4, + 0x646C59BF, 0x4F5E08E3, + 0x63EF328F, 0x4FFB654D, + 0x637114CC, 0x5097FC5E, + 0x62F201AC, 0x5133CC94, + 0x6271FA69, 0x51CED46E, + 0x61F1003E, 0x5269126E, + 0x616F146B, 0x53028517, + 0x60EC3830, 0x539B2AEF, + 0x60686CCE, 0x5433027D, + 0x5FE3B38D, 0x54CA0A4A, + 0x5F5E0DB3, 0x556040E2, + 0x5ED77C89, 0x55F5A4D2, + 0x5E50015D, 0x568A34A9, + 0x5DC79D7C, 0x571DEEF9, + 0x5D3E5236, 0x57B0D256, + 0x5CB420DF, 0x5842DD54, + 0x5C290ACC, 0x58D40E8C, + 0x5B9D1153, 0x59646497, + 0x5B1035CF, 0x59F3DE12, + 0x5A82799A, 0x5A82799A, + 0x59F3DE12, 0x5B1035CF, + 0x59646497, 0x5B9D1153, + 0x58D40E8C, 0x5C290ACC, + 0x5842DD54, 0x5CB420DF, + 0x57B0D256, 0x5D3E5236, + 0x571DEEF9, 0x5DC79D7C, + 0x568A34A9, 0x5E50015D, + 0x55F5A4D2, 0x5ED77C89, + 0x556040E2, 0x5F5E0DB3, + 0x54CA0A4A, 0x5FE3B38D, + 0x5433027D, 0x60686CCE, + 0x539B2AEF, 0x60EC3830, + 0x53028517, 0x616F146B, + 0x5269126E, 0x61F1003E, + 0x51CED46E, 0x6271FA69, + 0x5133CC94, 0x62F201AC, + 0x5097FC5E, 0x637114CC, + 0x4FFB654D, 0x63EF328F, + 0x4F5E08E3, 0x646C59BF, + 0x4EBFE8A4, 0x64E88926, + 0x4E210617, 0x6563BF92, + 0x4D8162C4, 0x65DDFBD3, + 0x4CE10034, 0x66573CBB, + 0x4C3FDFF3, 0x66CF811F, + 0x4B9E038F, 0x6746C7D7, + 0x4AFB6C97, 0x67BD0FBC, + 0x4A581C9D, 0x683257AA, + 0x49B41533, 0x68A69E81, + 0x490F57EE, 0x6919E320, + 0x4869E664, 0x698C246C, + 0x47C3C22E, 0x69FD614A, + 0x471CECE6, 0x6A6D98A4, + 0x46756827, 0x6ADCC964, + 0x45CD358F, 0x6B4AF278, + 0x452456BC, 0x6BB812D0, + 0x447ACD50, 0x6C242960, + 0x43D09AEC, 0x6C8F351C, + 0x4325C135, 0x6CF934FB, + 0x427A41D0, 0x6D6227FA, + 0x41CE1E64, 0x6DCA0D14, + 0x4121589A, 0x6E30E349, + 0x4073F21D, 0x6E96A99C, + 0x3FC5EC97, 0x6EFB5F12, + 0x3F1749B7, 0x6F5F02B1, + 0x3E680B2C, 0x6FC19385, + 0x3DB832A5, 0x70231099, + 0x3D07C1D5, 0x708378FE, + 0x3C56BA70, 0x70E2CBC6, + 0x3BA51E29, 0x71410804, + 0x3AF2EEB7, 0x719E2CD2, + 0x3A402DD1, 0x71FA3948, + 0x398CDD32, 0x72552C84, + 0x38D8FE93, 0x72AF05A6, + 0x382493B0, 0x7307C3D0, + 0x376F9E46, 0x735F6626, + 0x36BA2013, 0x73B5EBD0, + 0x36041AD9, 0x740B53FA, + 0x354D9056, 0x745F9DD1, + 0x3496824F, 0x74B2C883, + 0x33DEF287, 0x7504D345, + 0x3326E2C2, 0x7555BD4B, + 0x326E54C7, 0x75A585CF, + 0x31B54A5D, 0x75F42C0A, + 0x30FBC54D, 0x7641AF3C, + 0x3041C760, 0x768E0EA5, + 0x2F875262, 0x76D94988, + 0x2ECC681E, 0x77235F2D, + 0x2E110A62, 0x776C4EDB, + 0x2D553AFB, 0x77B417DF, + 0x2C98FBBA, 0x77FAB988, + 0x2BDC4E6F, 0x78403328, + 0x2B1F34EB, 0x78848413, + 0x2A61B101, 0x78C7ABA1, + 0x29A3C484, 0x7909A92C, + 0x28E5714A, 0x794A7C11, + 0x2826B928, 0x798A23B1, + 0x27679DF4, 0x79C89F6D, + 0x26A82185, 0x7A05EEAD, + 0x25E845B5, 0x7A4210D8, + 0x25280C5D, 0x7A7D055B, + 0x24677757, 0x7AB6CBA3, + 0x23A6887E, 0x7AEF6323, + 0x22E541AE, 0x7B26CB4F, + 0x2223A4C5, 0x7B5D039D, + 0x2161B39F, 0x7B920B89, + 0x209F701C, 0x7BC5E28F, + 0x1FDCDC1A, 0x7BF88830, + 0x1F19F97B, 0x7C29FBEE, + 0x1E56CA1E, 0x7C5A3D4F, + 0x1D934FE5, 0x7C894BDD, + 0x1CCF8CB3, 0x7CB72724, + 0x1C0B826A, 0x7CE3CEB1, + 0x1B4732EF, 0x7D0F4218, + 0x1A82A025, 0x7D3980EC, + 0x19BDCBF2, 0x7D628AC5, + 0x18F8B83C, 0x7D8A5F3F, + 0x183366E8, 0x7DB0FDF7, + 0x176DD9DE, 0x7DD6668E, + 0x16A81305, 0x7DFA98A7, + 0x15E21444, 0x7E1D93E9, + 0x151BDF85, 0x7E3F57FE, + 0x145576B1, 0x7E5FE493, + 0x138EDBB0, 0x7E7F3956, + 0x12C8106E, 0x7E9D55FC, + 0x120116D4, 0x7EBA3A39, + 0x1139F0CE, 0x7ED5E5C6, + 0x1072A047, 0x7EF0585F, + 0x0FAB272B, 0x7F0991C3, + 0x0EE38765, 0x7F2191B4, + 0x0E1BC2E3, 0x7F3857F5, + 0x0D53DB92, 0x7F4DE450, + 0x0C8BD35E, 0x7F62368F, + 0x0BC3AC35, 0x7F754E7F, + 0x0AFB6805, 0x7F872BF3, + 0x0A3308BC, 0x7F97CEBC, + 0x096A9049, 0x7FA736B4, + 0x08A2009A, 0x7FB563B2, + 0x07D95B9E, 0x7FC25596, + 0x0710A344, 0x7FCE0C3E, + 0x0647D97C, 0x7FD8878D, + 0x057F0034, 0x7FE1C76B, + 0x04B6195D, 0x7FE9CBC0, + 0x03ED26E6, 0x7FF09477, + 0x03242ABF, 0x7FF62182, + 0x025B26D7, 0x7FFA72D1, + 0x01921D1F, 0x7FFD885A, + 0x00C90F88, 0x7FFF6216, + 0x00000000, 0x7FFFFFFF, + 0xFF36F078, 0x7FFF6216, + 0xFE6DE2E0, 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0x86B583EE, 0xD71A8EB5, + 0x86F656D3, 0xD65C3B7B, + 0x8738545E, 0xD59E4EFE, + 0x877B7BEC, 0xD4E0CB14, + 0x87BFCCD7, 0xD423B190, + 0x88054677, 0xD3670445, + 0x884BE820, 0xD2AAC504, + 0x8893B124, 0xD1EEF59E, + 0x88DCA0D3, 0xD13397E1, + 0x8926B677, 0xD078AD9D, + 0x8971F15A, 0xCFBE389F, + 0x89BE50C3, 0xCF043AB2, + 0x8A0BD3F5, 0xCE4AB5A2, + 0x8A5A7A30, 0xCD91AB38, + 0x8AAA42B4, 0xCCD91D3D, + 0x8AFB2CBA, 0xCC210D78, + 0x8B4D377C, 0xCB697DB0, + 0x8BA0622F, 0xCAB26FA9, + 0x8BF4AC05, 0xC9FBE527, + 0x8C4A142F, 0xC945DFEC, + 0x8CA099D9, 0xC89061BA, + 0x8CF83C30, 0xC7DB6C50, + 0x8D50FA59, 0xC727016C, + 0x8DAAD37B, 0xC67322CD, + 0x8E05C6B7, 0xC5BFD22E, + 0x8E61D32D, 0xC50D1148, + 0x8EBEF7FB, 0xC45AE1D7, + 0x8F1D343A, 0xC3A9458F, + 0x8F7C8701, 0xC2F83E2A, + 0x8FDCEF66, 0xC247CD5A, + 0x903E6C7A, 0xC197F4D3, + 0x90A0FD4E, 0xC0E8B648, + 0x9104A0ED, 0xC03A1368, + 0x91695663, 0xBF8C0DE2, + 0x91CF1CB6, 0xBEDEA765, + 0x9235F2EB, 0xBE31E19B, + 0x929DD805, 0xBD85BE2F, + 0x9306CB04, 0xBCDA3ECA, + 0x9370CAE4, 0xBC2F6513, + 0x93DBD69F, 0xBB8532AF, + 0x9447ED2F, 0xBADBA943, + 0x94B50D87, 0xBA32CA70, + 0x9523369B, 0xB98A97D8, + 0x9592675B, 0xB8E31319, + 0x96029EB5, 0xB83C3DD1, + 0x9673DB94, 0xB796199B, + 0x96E61CDF, 0xB6F0A811, + 0x9759617E, 0xB64BEACC, + 0x97CDA855, 0xB5A7E362, + 0x9842F043, 0xB5049368, + 0x98B93828, 0xB461FC70, + 0x99307EE0, 0xB3C0200C, + 0x99A8C344, 0xB31EFFCB, + 0x9A22042C, 0xB27E9D3B, + 0x9A9C406D, 0xB1DEF9E8, + 0x9B1776D9, 0xB140175B, + 0x9B93A640, 0xB0A1F71C, + 0x9C10CD70, 0xB0049AB2, + 0x9C8EEB33, 0xAF6803A1, + 0x9D0DFE53, 0xAECC336B, + 0x9D8E0596, 0xAE312B91, + 0x9E0EFFC1, 0xAD96ED91, + 0x9E90EB94, 0xACFD7AE8, + 0x9F13C7D0, 0xAC64D510, + 0x9F979331, 0xABCCFD82, + 0xA01C4C72, 0xAB35F5B5, + 0xA0A1F24C, 0xAA9FBF1D, + 0xA1288376, 0xAA0A5B2D, + 0xA1AFFEA2, 0xA975CB56, + 0xA2386283, 0xA8E21106, + 0xA2C1ADC9, 0xA84F2DA9, + 0xA34BDF20, 0xA7BD22AB, + 0xA3D6F533, 0xA72BF173, + 0xA462EEAC, 0xA69B9B68, + 0xA4EFCA31, 0xA60C21ED, + 0xA57D8666, 0xA57D8666, + 0xA60C21ED, 0xA4EFCA31, + 0xA69B9B68, 0xA462EEAC, + 0xA72BF173, 0xA3D6F533, + 0xA7BD22AB, 0xA34BDF20, + 0xA84F2DA9, 0xA2C1ADC9, + 0xA8E21106, 0xA2386283, + 0xA975CB56, 0xA1AFFEA2, + 0xAA0A5B2D, 0xA1288376, + 0xAA9FBF1D, 0xA0A1F24C, + 0xAB35F5B5, 0xA01C4C72, + 0xABCCFD82, 0x9F979331, + 0xAC64D510, 0x9F13C7D0, + 0xACFD7AE8, 0x9E90EB94, + 0xAD96ED91, 0x9E0EFFC1, + 0xAE312B91, 0x9D8E0596, + 0xAECC336B, 0x9D0DFE53, + 0xAF6803A1, 0x9C8EEB33, + 0xB0049AB2, 0x9C10CD70, + 0xB0A1F71C, 0x9B93A640, + 0xB140175B, 0x9B1776D9, + 0xB1DEF9E8, 0x9A9C406D, + 0xB27E9D3B, 0x9A22042C, + 0xB31EFFCB, 0x99A8C344, + 0xB3C0200C, 0x99307EE0, + 0xB461FC70, 0x98B93828, + 0xB5049368, 0x9842F043, + 0xB5A7E362, 0x97CDA855, + 0xB64BEACC, 0x9759617E, + 0xB6F0A811, 0x96E61CDF, + 0xB796199B, 0x9673DB94, + 0xB83C3DD1, 0x96029EB5, + 0xB8E31319, 0x9592675B, + 0xB98A97D8, 0x9523369B, + 0xBA32CA70, 0x94B50D87, + 0xBADBA943, 0x9447ED2F, + 0xBB8532AF, 0x93DBD69F, + 0xBC2F6513, 0x9370CAE4, + 0xBCDA3ECA, 0x9306CB04, + 0xBD85BE2F, 0x929DD805, + 0xBE31E19B, 0x9235F2EB, + 0xBEDEA765, 0x91CF1CB6, + 0xBF8C0DE2, 0x91695663, + 0xC03A1368, 0x9104A0ED, + 0xC0E8B648, 0x90A0FD4E, + 0xC197F4D3, 0x903E6C7A, + 0xC247CD5A, 0x8FDCEF66, + 0xC2F83E2A, 0x8F7C8701, + 0xC3A9458F, 0x8F1D343A, + 0xC45AE1D7, 0x8EBEF7FB, + 0xC50D1148, 0x8E61D32D, + 0xC5BFD22E, 0x8E05C6B7, + 0xC67322CD, 0x8DAAD37B, + 0xC727016C, 0x8D50FA59, + 0xC7DB6C50, 0x8CF83C30, + 0xC89061BA, 0x8CA099D9, + 0xC945DFEC, 0x8C4A142F, + 0xC9FBE527, 0x8BF4AC05, + 0xCAB26FA9, 0x8BA0622F, + 0xCB697DB0, 0x8B4D377C, + 0xCC210D78, 0x8AFB2CBA, + 0xCCD91D3D, 0x8AAA42B4, + 0xCD91AB38, 0x8A5A7A30, + 0xCE4AB5A2, 0x8A0BD3F5, + 0xCF043AB2, 0x89BE50C3, + 0xCFBE389F, 0x8971F15A, + 0xD078AD9D, 0x8926B677, + 0xD13397E1, 0x88DCA0D3, + 0xD1EEF59E, 0x8893B124, + 0xD2AAC504, 0x884BE820, + 0xD3670445, 0x88054677, + 0xD423B190, 0x87BFCCD7, + 0xD4E0CB14, 0x877B7BEC, + 0xD59E4EFE, 0x8738545E, + 0xD65C3B7B, 0x86F656D3, + 0xD71A8EB5, 0x86B583EE, + 0xD7D946D7, 0x8675DC4E, + 0xD898620C, 0x86376092, + 0xD957DE7A, 0x85FA1152, + 0xDA17BA4A, 0x85BDEF27, + 0xDAD7F3A2, 0x8582FAA4, + 0xDB9888A8, 0x8549345C, + 0xDC597781, 0x85109CDC, + 0xDD1ABE51, 0x84D934B0, + 0xDDDC5B3A, 0x84A2FC62, + 0xDE9E4C60, 0x846DF476, + 0xDF608FE3, 0x843A1D70, + 0xE02323E5, 0x840777CF, + 0xE0E60684, 0x83D60411, + 0xE1A935E1, 0x83A5C2B0, + 0xE26CB01A, 0x8376B422, + 0xE330734C, 0x8348D8DB, + 0xE3F47D95, 0x831C314E, + 0xE4B8CD10, 0x82F0BDE8, + 0xE57D5FDA, 0x82C67F13, + 0xE642340D, 0x829D753A, + 0xE70747C3, 0x8275A0C0, + 0xE7CC9917, 0x824F0208, + 0xE8922621, 0x82299971, + 0xE957ECFB, 0x82056758, + 0xEA1DEBBB, 0x81E26C16, + 0xEAE4207A, 0x81C0A801, + 0xEBAA894E, 0x81A01B6C, + 0xEC71244F, 0x8180C6A9, + 0xED37EF91, 0x8162AA03, + 0xEDFEE92B, 0x8145C5C6, + 0xEEC60F31, 0x812A1A39, + 0xEF8D5FB8, 0x810FA7A0, + 0xF054D8D4, 0x80F66E3C, + 0xF11C789A, 0x80DE6E4C, + 0xF1E43D1C, 0x80C7A80A, + 0xF2AC246D, 0x80B21BAF, + 0xF3742CA1, 0x809DC970, + 0xF43C53CA, 0x808AB180, + 0xF50497FA, 0x8078D40D, + 0xF5CCF743, 0x80683143, + 0xF6956FB6, 0x8058C94C, + 0xF75DFF65, 0x804A9C4D, + 0xF826A461, 0x803DAA69, + 0xF8EF5CBB, 0x8031F3C1, + 0xF9B82683, 0x80277872, + 0xFA80FFCB, 0x801E3894, + 0xFB49E6A2, 0x80163440, + 0xFC12D919, 0x800F6B88, + 0xFCDBD541, 0x8009DE7D, + 0xFDA4D928, 0x80058D2E, + 0xFE6DE2E0, 0x800277A5, + 0xFF36F078, 0x80009DE9 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 2048 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_2048_q31[3072] = { + 0x7FFFFFFF, 0x00000000, + 0x7FFFD885, 0x006487E3, + 0x7FFF6216, 0x00C90F88, + 0x7FFE9CB2, 0x012D96B0, + 0x7FFD885A, 0x01921D1F, + 0x7FFC250F, 0x01F6A296, + 0x7FFA72D1, 0x025B26D7, + 0x7FF871A1, 0x02BFA9A4, + 0x7FF62182, 0x03242ABF, + 0x7FF38273, 0x0388A9E9, + 0x7FF09477, 0x03ED26E6, + 0x7FED5790, 0x0451A176, + 0x7FE9CBC0, 0x04B6195D, + 0x7FE5F108, 0x051A8E5C, + 0x7FE1C76B, 0x057F0034, + 0x7FDD4EEC, 0x05E36EA9, + 0x7FD8878D, 0x0647D97C, + 0x7FD37152, 0x06AC406F, + 0x7FCE0C3E, 0x0710A344, + 0x7FC85853, 0x077501BE, + 0x7FC25596, 0x07D95B9E, + 0x7FBC040A, 0x083DB0A7, + 0x7FB563B2, 0x08A2009A, + 0x7FAE7494, 0x09064B3A, + 0x7FA736B4, 0x096A9049, + 0x7F9FAA15, 0x09CECF89, + 0x7F97CEBC, 0x0A3308BC, + 0x7F8FA4AF, 0x0A973BA5, + 0x7F872BF3, 0x0AFB6805, + 0x7F7E648B, 0x0B5F8D9F, + 0x7F754E7F, 0x0BC3AC35, + 0x7F6BE9D4, 0x0C27C389, + 0x7F62368F, 0x0C8BD35E, + 0x7F5834B6, 0x0CEFDB75, + 0x7F4DE450, 0x0D53DB92, + 0x7F434563, 0x0DB7D376, + 0x7F3857F5, 0x0E1BC2E3, + 0x7F2D1C0E, 0x0E7FA99D, + 0x7F2191B4, 0x0EE38765, + 0x7F15B8EE, 0x0F475BFE, + 0x7F0991C3, 0x0FAB272B, + 0x7EFD1C3C, 0x100EE8AD, + 0x7EF0585F, 0x1072A047, + 0x7EE34635, 0x10D64DBC, + 0x7ED5E5C6, 0x1139F0CE, + 0x7EC8371A, 0x119D8940, + 0x7EBA3A39, 0x120116D4, + 0x7EABEF2C, 0x1264994E, + 0x7E9D55FC, 0x12C8106E, + 0x7E8E6EB1, 0x132B7BF9, + 0x7E7F3956, 0x138EDBB0, + 0x7E6FB5F3, 0x13F22F57, + 0x7E5FE493, 0x145576B1, + 0x7E4FC53E, 0x14B8B17F, + 0x7E3F57FE, 0x151BDF85, + 0x7E2E9CDF, 0x157F0086, + 0x7E1D93E9, 0x15E21444, + 0x7E0C3D29, 0x16451A83, + 0x7DFA98A7, 0x16A81305, + 0x7DE8A670, 0x170AFD8D, + 0x7DD6668E, 0x176DD9DE, + 0x7DC3D90D, 0x17D0A7BB, + 0x7DB0FDF7, 0x183366E8, + 0x7D9DD55A, 0x18961727, + 0x7D8A5F3F, 0x18F8B83C, + 0x7D769BB5, 0x195B49E9, + 0x7D628AC5, 0x19BDCBF2, + 0x7D4E2C7E, 0x1A203E1B, + 0x7D3980EC, 0x1A82A025, + 0x7D24881A, 0x1AE4F1D6, + 0x7D0F4218, 0x1B4732EF, + 0x7CF9AEF0, 0x1BA96334, + 0x7CE3CEB1, 0x1C0B826A, + 0x7CCDA168, 0x1C6D9053, + 0x7CB72724, 0x1CCF8CB3, + 0x7CA05FF1, 0x1D31774D, + 0x7C894BDD, 0x1D934FE5, + 0x7C71EAF8, 0x1DF5163F, + 0x7C5A3D4F, 0x1E56CA1E, + 0x7C4242F2, 0x1EB86B46, + 0x7C29FBEE, 0x1F19F97B, + 0x7C116853, 0x1F7B7480, + 0x7BF88830, 0x1FDCDC1A, + 0x7BDF5B94, 0x203E300D, + 0x7BC5E28F, 0x209F701C, + 0x7BAC1D31, 0x21009C0B, + 0x7B920B89, 0x2161B39F, + 0x7B77ADA8, 0x21C2B69C, + 0x7B5D039D, 0x2223A4C5, + 0x7B420D7A, 0x22847DDF, + 0x7B26CB4F, 0x22E541AE, + 0x7B0B3D2C, 0x2345EFF7, + 0x7AEF6323, 0x23A6887E, + 0x7AD33D45, 0x24070B07, + 0x7AB6CBA3, 0x24677757, + 0x7A9A0E4F, 0x24C7CD32, + 0x7A7D055B, 0x25280C5D, + 0x7A5FB0D8, 0x2588349D, + 0x7A4210D8, 0x25E845B5, + 0x7A24256E, 0x26483F6C, + 0x7A05EEAD, 0x26A82185, + 0x79E76CA6, 0x2707EBC6, + 0x79C89F6D, 0x27679DF4, + 0x79A98715, 0x27C737D2, + 0x798A23B1, 0x2826B928, + 0x796A7554, 0x288621B9, + 0x794A7C11, 0x28E5714A, + 0x792A37FE, 0x2944A7A2, + 0x7909A92C, 0x29A3C484, + 0x78E8CFB1, 0x2A02C7B8, + 0x78C7ABA1, 0x2A61B101, + 0x78A63D10, 0x2AC08025, + 0x78848413, 0x2B1F34EB, + 0x786280BF, 0x2B7DCF17, + 0x78403328, 0x2BDC4E6F, + 0x781D9B64, 0x2C3AB2B9, + 0x77FAB988, 0x2C98FBBA, + 0x77D78DAA, 0x2CF72939, + 0x77B417DF, 0x2D553AFB, + 0x7790583D, 0x2DB330C7, + 0x776C4EDB, 0x2E110A62, + 0x7747FBCE, 0x2E6EC792, + 0x77235F2D, 0x2ECC681E, + 0x76FE790E, 0x2F29EBCC, + 0x76D94988, 0x2F875262, + 0x76B3D0B3, 0x2FE49BA6, + 0x768E0EA5, 0x3041C760, + 0x76680376, 0x309ED555, + 0x7641AF3C, 0x30FBC54D, + 0x761B1211, 0x3158970D, + 0x75F42C0A, 0x31B54A5D, + 0x75CCFD42, 0x3211DF03, + 0x75A585CF, 0x326E54C7, + 0x757DC5CA, 0x32CAAB6F, + 0x7555BD4B, 0x3326E2C2, + 0x752D6C6C, 0x3382FA88, + 0x7504D345, 0x33DEF287, + 0x74DBF1EF, 0x343ACA87, + 0x74B2C883, 0x3496824F, + 0x7489571B, 0x34F219A7, + 0x745F9DD1, 0x354D9056, + 0x74359CBD, 0x35A8E624, + 0x740B53FA, 0x36041AD9, + 0x73E0C3A3, 0x365F2E3B, + 0x73B5EBD0, 0x36BA2013, + 0x738ACC9E, 0x3714F02A, + 0x735F6626, 0x376F9E46, + 0x7333B883, 0x37CA2A30, + 0x7307C3D0, 0x382493B0, + 0x72DB8828, 0x387EDA8E, + 0x72AF05A6, 0x38D8FE93, + 0x72823C66, 0x3932FF87, + 0x72552C84, 0x398CDD32, + 0x7227D61C, 0x39E6975D, + 0x71FA3948, 0x3A402DD1, + 0x71CC5626, 0x3A99A057, + 0x719E2CD2, 0x3AF2EEB7, + 0x716FBD68, 0x3B4C18BA, + 0x71410804, 0x3BA51E29, + 0x71120CC5, 0x3BFDFECD, + 0x70E2CBC6, 0x3C56BA70, + 0x70B34524, 0x3CAF50DA, + 0x708378FE, 0x3D07C1D5, + 0x70536771, 0x3D600D2B, + 0x70231099, 0x3DB832A5, + 0x6FF27496, 0x3E10320D, + 0x6FC19385, 0x3E680B2C, + 0x6F906D84, 0x3EBFBDCC, + 0x6F5F02B1, 0x3F1749B7, + 0x6F2D532C, 0x3F6EAEB8, + 0x6EFB5F12, 0x3FC5EC97, + 0x6EC92682, 0x401D0320, + 0x6E96A99C, 0x4073F21D, + 0x6E63E87F, 0x40CAB957, + 0x6E30E349, 0x4121589A, + 0x6DFD9A1B, 0x4177CFB0, + 0x6DCA0D14, 0x41CE1E64, + 0x6D963C54, 0x42244480, + 0x6D6227FA, 0x427A41D0, + 0x6D2DD027, 0x42D0161E, + 0x6CF934FB, 0x4325C135, + 0x6CC45697, 0x437B42E1, + 0x6C8F351C, 0x43D09AEC, + 0x6C59D0A9, 0x4425C923, + 0x6C242960, 0x447ACD50, + 0x6BEE3F62, 0x44CFA73F, + 0x6BB812D0, 0x452456BC, + 0x6B81A3CD, 0x4578DB93, + 0x6B4AF278, 0x45CD358F, + 0x6B13FEF5, 0x4621647C, + 0x6ADCC964, 0x46756827, + 0x6AA551E8, 0x46C9405C, + 0x6A6D98A4, 0x471CECE6, + 0x6A359DB9, 0x47706D93, + 0x69FD614A, 0x47C3C22E, + 0x69C4E37A, 0x4816EA85, + 0x698C246C, 0x4869E664, + 0x69532442, 0x48BCB598, + 0x6919E320, 0x490F57EE, + 0x68E06129, 0x4961CD32, + 0x68A69E81, 0x49B41533, + 0x686C9B4B, 0x4A062FBD, + 0x683257AA, 0x4A581C9D, + 0x67F7D3C4, 0x4AA9DBA1, + 0x67BD0FBC, 0x4AFB6C97, + 0x67820BB6, 0x4B4CCF4D, + 0x6746C7D7, 0x4B9E038F, + 0x670B4443, 0x4BEF092D, + 0x66CF811F, 0x4C3FDFF3, + 0x66937E90, 0x4C9087B1, + 0x66573CBB, 0x4CE10034, + 0x661ABBC5, 0x4D31494B, + 0x65DDFBD3, 0x4D8162C4, + 0x65A0FD0B, 0x4DD14C6E, + 0x6563BF92, 0x4E210617, + 0x6526438E, 0x4E708F8F, + 0x64E88926, 0x4EBFE8A4, + 0x64AA907F, 0x4F0F1126, + 0x646C59BF, 0x4F5E08E3, + 0x642DE50D, 0x4FACCFAB, + 0x63EF328F, 0x4FFB654D, + 0x63B0426D, 0x5049C999, + 0x637114CC, 0x5097FC5E, + 0x6331A9D4, 0x50E5FD6C, + 0x62F201AC, 0x5133CC94, + 0x62B21C7B, 0x518169A4, + 0x6271FA69, 0x51CED46E, + 0x62319B9D, 0x521C0CC1, + 0x61F1003E, 0x5269126E, + 0x61B02876, 0x52B5E545, + 0x616F146B, 0x53028517, + 0x612DC446, 0x534EF1B5, + 0x60EC3830, 0x539B2AEF, + 0x60AA704F, 0x53E73097, + 0x60686CCE, 0x5433027D, + 0x60262DD5, 0x547EA073, + 0x5FE3B38D, 0x54CA0A4A, + 0x5FA0FE1E, 0x55153FD4, + 0x5F5E0DB3, 0x556040E2, + 0x5F1AE273, 0x55AB0D46, + 0x5ED77C89, 0x55F5A4D2, + 0x5E93DC1F, 0x56400757, + 0x5E50015D, 0x568A34A9, + 0x5E0BEC6E, 0x56D42C99, + 0x5DC79D7C, 0x571DEEF9, + 0x5D8314B0, 0x57677B9D, + 0x5D3E5236, 0x57B0D256, + 0x5CF95638, 0x57F9F2F7, + 0x5CB420DF, 0x5842DD54, + 0x5C6EB258, 0x588B913F, + 0x5C290ACC, 0x58D40E8C, + 0x5BE32A67, 0x591C550E, + 0x5B9D1153, 0x59646497, + 0x5B56BFBD, 0x59AC3CFD, + 0x5B1035CF, 0x59F3DE12, + 0x5AC973B4, 0x5A3B47AA, + 0x5A82799A, 0x5A82799A, + 0x5A3B47AA, 0x5AC973B4, + 0x59F3DE12, 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0x8000277A, 0xFF9B781D, + 0x80009DE9, 0xFF36F078, + 0x8001634D, 0xFED2694F, + 0x800277A5, 0xFE6DE2E0, + 0x8003DAF0, 0xFE095D69, + 0x80058D2E, 0xFDA4D928, + 0x80078E5E, 0xFD40565B, + 0x8009DE7D, 0xFCDBD541, + 0x800C7D8C, 0xFC775616, + 0x800F6B88, 0xFC12D919, + 0x8012A86F, 0xFBAE5E89, + 0x80163440, 0xFB49E6A2, + 0x801A0EF7, 0xFAE571A4, + 0x801E3894, 0xFA80FFCB, + 0x8022B113, 0xFA1C9156, + 0x80277872, 0xF9B82683, + 0x802C8EAD, 0xF953BF90, + 0x8031F3C1, 0xF8EF5CBB, + 0x8037A7AC, 0xF88AFE41, + 0x803DAA69, 0xF826A461, + 0x8043FBF6, 0xF7C24F58, + 0x804A9C4D, 0xF75DFF65, + 0x80518B6B, 0xF6F9B4C5, + 0x8058C94C, 0xF6956FB6, + 0x806055EA, 0xF6313076, + 0x80683143, 0xF5CCF743, + 0x80705B50, 0xF568C45A, + 0x8078D40D, 0xF50497FA, + 0x80819B74, 0xF4A07260, + 0x808AB180, 0xF43C53CA, + 0x8094162B, 0xF3D83C76, + 0x809DC970, 0xF3742CA1, + 0x80A7CB49, 0xF310248A, + 0x80B21BAF, 0xF2AC246D, + 0x80BCBA9C, 0xF2482C89, + 0x80C7A80A, 0xF1E43D1C, + 0x80D2E3F1, 0xF1805662, + 0x80DE6E4C, 0xF11C789A, + 0x80EA4712, 0xF0B8A401, + 0x80F66E3C, 0xF054D8D4, + 0x8102E3C3, 0xEFF11752, + 0x810FA7A0, 0xEF8D5FB8, + 0x811CB9CA, 0xEF29B243, + 0x812A1A39, 0xEEC60F31, + 0x8137C8E6, 0xEE6276BF, + 0x8145C5C6, 0xEDFEE92B, + 0x815410D3, 0xED9B66B2, + 0x8162AA03, 0xED37EF91, + 0x8171914E, 0xECD48406, + 0x8180C6A9, 0xEC71244F, + 0x81904A0C, 0xEC0DD0A8, + 0x81A01B6C, 0xEBAA894E, + 0x81B03AC1, 0xEB474E80, + 0x81C0A801, 0xEAE4207A, + 0x81D16320, 0xEA80FF79, + 0x81E26C16, 0xEA1DEBBB, + 0x81F3C2D7, 0xE9BAE57C, + 0x82056758, 0xE957ECFB, + 0x8217598F, 0xE8F50273, + 0x82299971, 0xE8922621, + 0x823C26F2, 0xE82F5844, + 0x824F0208, 0xE7CC9917, + 0x82622AA5, 0xE769E8D8, + 0x8275A0C0, 0xE70747C3, + 0x8289644A, 0xE6A4B616, + 0x829D753A, 0xE642340D, + 0x82B1D381, 0xE5DFC1E4, + 0x82C67F13, 0xE57D5FDA, + 0x82DB77E5, 0xE51B0E2A, + 0x82F0BDE8, 0xE4B8CD10, + 0x8306510F, 0xE4569CCB, + 0x831C314E, 0xE3F47D95, + 0x83325E97, 0xE3926FAC, + 0x8348D8DB, 0xE330734C, + 0x835FA00E, 0xE2CE88B2, + 0x8376B422, 0xE26CB01A, + 0x838E1507, 0xE20AE9C1, + 0x83A5C2B0, 0xE1A935E1, + 0x83BDBD0D, 0xE14794B9, + 0x83D60411, 0xE0E60684, + 0x83EE97AC, 0xE0848B7F, + 0x840777CF, 0xE02323E5, + 0x8420A46B, 0xDFC1CFF2, + 0x843A1D70, 0xDF608FE3, + 0x8453E2CE, 0xDEFF63F4, + 0x846DF476, 0xDE9E4C60, + 0x84885257, 0xDE3D4963, + 0x84A2FC62, 0xDDDC5B3A, + 0x84BDF285, 0xDD7B8220, + 0x84D934B0, 0xDD1ABE51, + 0x84F4C2D3, 0xDCBA1008, + 0x85109CDC, 0xDC597781, + 0x852CC2BA, 0xDBF8F4F8, + 0x8549345C, 0xDB9888A8, + 0x8565F1B0, 0xDB3832CD, + 0x8582FAA4, 0xDAD7F3A2, + 0x85A04F28, 0xDA77CB62, + 0x85BDEF27, 0xDA17BA4A, + 0x85DBDA91, 0xD9B7C093, + 0x85FA1152, 0xD957DE7A, + 0x86189359, 0xD8F81439, + 0x86376092, 0xD898620C, + 0x865678EA, 0xD838C82D, + 0x8675DC4E, 0xD7D946D7, + 0x86958AAB, 0xD779DE46, + 0x86B583EE, 0xD71A8EB5, + 0x86D5C802, 0xD6BB585D, + 0x86F656D3, 0xD65C3B7B, + 0x8717304E, 0xD5FD3847, + 0x8738545E, 0xD59E4EFE, + 0x8759C2EF, 0xD53F7FDA, + 0x877B7BEC, 0xD4E0CB14, + 0x879D7F40, 0xD48230E8, + 0x87BFCCD7, 0xD423B190, + 0x87E2649B, 0xD3C54D46, + 0x88054677, 0xD3670445, + 0x88287255, 0xD308D6C6, + 0x884BE820, 0xD2AAC504, + 0x886FA7C2, 0xD24CCF38, + 0x8893B124, 0xD1EEF59E, + 0x88B80431, 0xD191386D, + 0x88DCA0D3, 0xD13397E1, + 0x890186F1, 0xD0D61433, + 0x8926B677, 0xD078AD9D, + 0x894C2F4C, 0xD01B6459, + 0x8971F15A, 0xCFBE389F, + 0x8997FC89, 0xCF612AAA, + 0x89BE50C3, 0xCF043AB2, + 0x89E4EDEE, 0xCEA768F2, + 0x8A0BD3F5, 0xCE4AB5A2, + 0x8A3302BD, 0xCDEE20FC, + 0x8A5A7A30, 0xCD91AB38, + 0x8A823A35, 0xCD355490, + 0x8AAA42B4, 0xCCD91D3D, + 0x8AD29393, 0xCC7D0577, + 0x8AFB2CBA, 0xCC210D78, + 0x8B240E10, 0xCBC53578, + 0x8B4D377C, 0xCB697DB0, + 0x8B76A8E4, 0xCB0DE658, + 0x8BA0622F, 0xCAB26FA9, + 0x8BCA6342, 0xCA5719DB, + 0x8BF4AC05, 0xC9FBE527, + 0x8C1F3C5C, 0xC9A0D1C4, + 0x8C4A142F, 0xC945DFEC, + 0x8C753361, 0xC8EB0FD6, + 0x8CA099D9, 0xC89061BA, + 0x8CCC477D, 0xC835D5D0, + 0x8CF83C30, 0xC7DB6C50, + 0x8D2477D8, 0xC7812571, + 0x8D50FA59, 0xC727016C, + 0x8D7DC399, 0xC6CD0079, + 0x8DAAD37B, 0xC67322CD, + 0x8DD829E4, 0xC61968A2, + 0x8E05C6B7, 0xC5BFD22E, + 0x8E33A9D9, 0xC5665FA8, + 0x8E61D32D, 0xC50D1148, + 0x8E904298, 0xC4B3E746, + 0x8EBEF7FB, 0xC45AE1D7, + 0x8EEDF33B, 0xC4020132, + 0x8F1D343A, 0xC3A9458F, + 0x8F4CBADB, 0xC350AF25, + 0x8F7C8701, 0xC2F83E2A, + 0x8FAC988E, 0xC29FF2D4, + 0x8FDCEF66, 0xC247CD5A, + 0x900D8B69, 0xC1EFCDF2, + 0x903E6C7A, 0xC197F4D3, + 0x906F927B, 0xC1404233, + 0x90A0FD4E, 0xC0E8B648, + 0x90D2ACD3, 0xC0915147, + 0x9104A0ED, 0xC03A1368, + 0x9136D97D, 0xBFE2FCDF, + 0x91695663, 0xBF8C0DE2, + 0x919C1780, 0xBF3546A8, + 0x91CF1CB6, 0xBEDEA765, + 0x920265E4, 0xBE88304F, + 0x9235F2EB, 0xBE31E19B, + 0x9269C3AC, 0xBDDBBB7F, + 0x929DD805, 0xBD85BE2F, + 0x92D22FD8, 0xBD2FE9E1, + 0x9306CB04, 0xBCDA3ECA, + 0x933BA968, 0xBC84BD1E, + 0x9370CAE4, 0xBC2F6513, + 0x93A62F56, 0xBBDA36DC, + 0x93DBD69F, 0xBB8532AF, + 0x9411C09D, 0xBB3058C0, + 0x9447ED2F, 0xBADBA943, + 0x947E5C32, 0xBA87246C, + 0x94B50D87, 0xBA32CA70, + 0x94EC010B, 0xB9DE9B83, + 0x9523369B, 0xB98A97D8, + 0x955AAE17, 0xB936BFA3, + 0x9592675B, 0xB8E31319, + 0x95CA6246, 0xB88F926C, + 0x96029EB5, 0xB83C3DD1, + 0x963B1C85, 0xB7E9157A, + 0x9673DB94, 0xB796199B, + 0x96ACDBBD, 0xB7434A67, + 0x96E61CDF, 0xB6F0A811, + 0x971F9ED6, 0xB69E32CD, + 0x9759617E, 0xB64BEACC, + 0x979364B5, 0xB5F9D042, + 0x97CDA855, 0xB5A7E362, + 0x98082C3B, 0xB556245E, + 0x9842F043, 0xB5049368, + 0x987DF449, 0xB4B330B2, + 0x98B93828, 0xB461FC70, + 0x98F4BBBC, 0xB410F6D2, + 0x99307EE0, 0xB3C0200C, + 0x996C816F, 0xB36F784E, + 0x99A8C344, 0xB31EFFCB, + 0x99E5443A, 0xB2CEB6B5, + 0x9A22042C, 0xB27E9D3B, + 0x9A5F02F5, 0xB22EB392, + 0x9A9C406D, 0xB1DEF9E8, + 0x9AD9BC71, 0xB18F7070, + 0x9B1776D9, 0xB140175B, + 0x9B556F80, 0xB0F0EEDA, + 0x9B93A640, 0xB0A1F71C, + 0x9BD21AF2, 0xB0533055, + 0x9C10CD70, 0xB0049AB2, + 0x9C4FBD92, 0xAFB63667, + 0x9C8EEB33, 0xAF6803A1, + 0x9CCE562B, 0xAF1A0293, + 0x9D0DFE53, 0xAECC336B, + 0x9D4DE384, 0xAE7E965B, + 0x9D8E0596, 0xAE312B91, + 0x9DCE6462, 0xADE3F33E, + 0x9E0EFFC1, 0xAD96ED91, + 0x9E4FD789, 0xAD4A1ABA, + 0x9E90EB94, 0xACFD7AE8, + 0x9ED23BB9, 0xACB10E4A, + 0x9F13C7D0, 0xAC64D510, + 0x9F558FB0, 0xAC18CF68, + 0x9F979331, 0xABCCFD82, + 0x9FD9D22A, 0xAB815F8C, + 0xA01C4C72, 0xAB35F5B5, + 0xA05F01E1, 0xAAEAC02B, + 0xA0A1F24C, 0xAA9FBF1D, + 0xA0E51D8C, 0xAA54F2B9, + 0xA1288376, 0xAA0A5B2D, + 0xA16C23E1, 0xA9BFF8A8, + 0xA1AFFEA2, 0xA975CB56, + 0xA1F41391, 0xA92BD366, + 0xA2386283, 0xA8E21106, + 0xA27CEB4F, 0xA8988463, + 0xA2C1ADC9, 0xA84F2DA9, + 0xA306A9C7, 0xA8060D08, + 0xA34BDF20, 0xA7BD22AB, + 0xA3914DA7, 0xA7746EC0, + 0xA3D6F533, 0xA72BF173, + 0xA41CD598, 0xA6E3AAF2, + 0xA462EEAC, 0xA69B9B68, + 0xA4A94042, 0xA653C302, + 0xA4EFCA31, 0xA60C21ED, + 0xA5368C4B, 0xA5C4B855, + 0xA57D8666, 0xA57D8666, + 0xA5C4B855, 0xA5368C4B, + 0xA60C21ED, 0xA4EFCA31, + 0xA653C302, 0xA4A94042, + 0xA69B9B68, 0xA462EEAC, + 0xA6E3AAF2, 0xA41CD598, + 0xA72BF173, 0xA3D6F533, + 0xA7746EC0, 0xA3914DA7, + 0xA7BD22AB, 0xA34BDF20, + 0xA8060D08, 0xA306A9C7, + 0xA84F2DA9, 0xA2C1ADC9, + 0xA8988463, 0xA27CEB4F, + 0xA8E21106, 0xA2386283, + 0xA92BD366, 0xA1F41391, + 0xA975CB56, 0xA1AFFEA2, + 0xA9BFF8A8, 0xA16C23E1, + 0xAA0A5B2D, 0xA1288376, + 0xAA54F2B9, 0xA0E51D8C, + 0xAA9FBF1D, 0xA0A1F24C, + 0xAAEAC02B, 0xA05F01E1, + 0xAB35F5B5, 0xA01C4C72, + 0xAB815F8C, 0x9FD9D22A, + 0xABCCFD82, 0x9F979331, + 0xAC18CF68, 0x9F558FB0, + 0xAC64D510, 0x9F13C7D0, + 0xACB10E4A, 0x9ED23BB9, + 0xACFD7AE8, 0x9E90EB94, + 0xAD4A1ABA, 0x9E4FD789, + 0xAD96ED91, 0x9E0EFFC1, + 0xADE3F33E, 0x9DCE6462, + 0xAE312B91, 0x9D8E0596, + 0xAE7E965B, 0x9D4DE384, + 0xAECC336B, 0x9D0DFE53, + 0xAF1A0293, 0x9CCE562B, + 0xAF6803A1, 0x9C8EEB33, + 0xAFB63667, 0x9C4FBD92, + 0xB0049AB2, 0x9C10CD70, + 0xB0533055, 0x9BD21AF2, + 0xB0A1F71C, 0x9B93A640, + 0xB0F0EEDA, 0x9B556F80, + 0xB140175B, 0x9B1776D9, + 0xB18F7070, 0x9AD9BC71, + 0xB1DEF9E8, 0x9A9C406D, + 0xB22EB392, 0x9A5F02F5, + 0xB27E9D3B, 0x9A22042C, + 0xB2CEB6B5, 0x99E5443A, + 0xB31EFFCB, 0x99A8C344, + 0xB36F784E, 0x996C816F, + 0xB3C0200C, 0x99307EE0, + 0xB410F6D2, 0x98F4BBBC, + 0xB461FC70, 0x98B93828, + 0xB4B330B2, 0x987DF449, + 0xB5049368, 0x9842F043, + 0xB556245E, 0x98082C3B, + 0xB5A7E362, 0x97CDA855, + 0xB5F9D042, 0x979364B5, + 0xB64BEACC, 0x9759617E, + 0xB69E32CD, 0x971F9ED6, + 0xB6F0A811, 0x96E61CDF, + 0xB7434A67, 0x96ACDBBD, + 0xB796199B, 0x9673DB94, + 0xB7E9157A, 0x963B1C85, + 0xB83C3DD1, 0x96029EB5, + 0xB88F926C, 0x95CA6246, + 0xB8E31319, 0x9592675B, + 0xB936BFA3, 0x955AAE17, + 0xB98A97D8, 0x9523369B, + 0xB9DE9B83, 0x94EC010B, + 0xBA32CA70, 0x94B50D87, + 0xBA87246C, 0x947E5C32, + 0xBADBA943, 0x9447ED2F, + 0xBB3058C0, 0x9411C09D, + 0xBB8532AF, 0x93DBD69F, + 0xBBDA36DC, 0x93A62F56, + 0xBC2F6513, 0x9370CAE4, + 0xBC84BD1E, 0x933BA968, + 0xBCDA3ECA, 0x9306CB04, + 0xBD2FE9E1, 0x92D22FD8, + 0xBD85BE2F, 0x929DD805, + 0xBDDBBB7F, 0x9269C3AC, + 0xBE31E19B, 0x9235F2EB, + 0xBE88304F, 0x920265E4, + 0xBEDEA765, 0x91CF1CB6, + 0xBF3546A8, 0x919C1780, + 0xBF8C0DE2, 0x91695663, + 0xBFE2FCDF, 0x9136D97D, + 0xC03A1368, 0x9104A0ED, + 0xC0915147, 0x90D2ACD3, + 0xC0E8B648, 0x90A0FD4E, + 0xC1404233, 0x906F927B, + 0xC197F4D3, 0x903E6C7A, + 0xC1EFCDF2, 0x900D8B69, + 0xC247CD5A, 0x8FDCEF66, + 0xC29FF2D4, 0x8FAC988E, + 0xC2F83E2A, 0x8F7C8701, + 0xC350AF25, 0x8F4CBADB, + 0xC3A9458F, 0x8F1D343A, + 0xC4020132, 0x8EEDF33B, + 0xC45AE1D7, 0x8EBEF7FB, + 0xC4B3E746, 0x8E904298, + 0xC50D1148, 0x8E61D32D, + 0xC5665FA8, 0x8E33A9D9, + 0xC5BFD22E, 0x8E05C6B7, + 0xC61968A2, 0x8DD829E4, + 0xC67322CD, 0x8DAAD37B, + 0xC6CD0079, 0x8D7DC399, + 0xC727016C, 0x8D50FA59, + 0xC7812571, 0x8D2477D8, + 0xC7DB6C50, 0x8CF83C30, + 0xC835D5D0, 0x8CCC477D, + 0xC89061BA, 0x8CA099D9, + 0xC8EB0FD6, 0x8C753361, + 0xC945DFEC, 0x8C4A142F, + 0xC9A0D1C4, 0x8C1F3C5C, + 0xC9FBE527, 0x8BF4AC05, + 0xCA5719DB, 0x8BCA6342, + 0xCAB26FA9, 0x8BA0622F, + 0xCB0DE658, 0x8B76A8E4, + 0xCB697DB0, 0x8B4D377C, + 0xCBC53578, 0x8B240E10, + 0xCC210D78, 0x8AFB2CBA, + 0xCC7D0577, 0x8AD29393, + 0xCCD91D3D, 0x8AAA42B4, + 0xCD355490, 0x8A823A35, + 0xCD91AB38, 0x8A5A7A30, + 0xCDEE20FC, 0x8A3302BD, + 0xCE4AB5A2, 0x8A0BD3F5, + 0xCEA768F2, 0x89E4EDEE, + 0xCF043AB2, 0x89BE50C3, + 0xCF612AAA, 0x8997FC89, + 0xCFBE389F, 0x8971F15A, + 0xD01B6459, 0x894C2F4C, + 0xD078AD9D, 0x8926B677, + 0xD0D61433, 0x890186F1, + 0xD13397E1, 0x88DCA0D3, + 0xD191386D, 0x88B80431, + 0xD1EEF59E, 0x8893B124, + 0xD24CCF38, 0x886FA7C2, + 0xD2AAC504, 0x884BE820, + 0xD308D6C6, 0x88287255, + 0xD3670445, 0x88054677, + 0xD3C54D46, 0x87E2649B, + 0xD423B190, 0x87BFCCD7, + 0xD48230E8, 0x879D7F40, + 0xD4E0CB14, 0x877B7BEC, + 0xD53F7FDA, 0x8759C2EF, + 0xD59E4EFE, 0x8738545E, + 0xD5FD3847, 0x8717304E, + 0xD65C3B7B, 0x86F656D3, + 0xD6BB585D, 0x86D5C802, + 0xD71A8EB5, 0x86B583EE, + 0xD779DE46, 0x86958AAB, + 0xD7D946D7, 0x8675DC4E, + 0xD838C82D, 0x865678EA, + 0xD898620C, 0x86376092, + 0xD8F81439, 0x86189359, + 0xD957DE7A, 0x85FA1152, + 0xD9B7C093, 0x85DBDA91, + 0xDA17BA4A, 0x85BDEF27, + 0xDA77CB62, 0x85A04F28, + 0xDAD7F3A2, 0x8582FAA4, + 0xDB3832CD, 0x8565F1B0, + 0xDB9888A8, 0x8549345C, + 0xDBF8F4F8, 0x852CC2BA, + 0xDC597781, 0x85109CDC, + 0xDCBA1008, 0x84F4C2D3, + 0xDD1ABE51, 0x84D934B0, + 0xDD7B8220, 0x84BDF285, + 0xDDDC5B3A, 0x84A2FC62, + 0xDE3D4963, 0x84885257, + 0xDE9E4C60, 0x846DF476, + 0xDEFF63F4, 0x8453E2CE, + 0xDF608FE3, 0x843A1D70, + 0xDFC1CFF2, 0x8420A46B, + 0xE02323E5, 0x840777CF, + 0xE0848B7F, 0x83EE97AC, + 0xE0E60684, 0x83D60411, + 0xE14794B9, 0x83BDBD0D, + 0xE1A935E1, 0x83A5C2B0, + 0xE20AE9C1, 0x838E1507, + 0xE26CB01A, 0x8376B422, + 0xE2CE88B2, 0x835FA00E, + 0xE330734C, 0x8348D8DB, + 0xE3926FAC, 0x83325E97, + 0xE3F47D95, 0x831C314E, + 0xE4569CCB, 0x8306510F, + 0xE4B8CD10, 0x82F0BDE8, + 0xE51B0E2A, 0x82DB77E5, + 0xE57D5FDA, 0x82C67F13, + 0xE5DFC1E4, 0x82B1D381, + 0xE642340D, 0x829D753A, + 0xE6A4B616, 0x8289644A, + 0xE70747C3, 0x8275A0C0, + 0xE769E8D8, 0x82622AA5, + 0xE7CC9917, 0x824F0208, + 0xE82F5844, 0x823C26F2, + 0xE8922621, 0x82299971, + 0xE8F50273, 0x8217598F, + 0xE957ECFB, 0x82056758, + 0xE9BAE57C, 0x81F3C2D7, + 0xEA1DEBBB, 0x81E26C16, + 0xEA80FF79, 0x81D16320, + 0xEAE4207A, 0x81C0A801, + 0xEB474E80, 0x81B03AC1, + 0xEBAA894E, 0x81A01B6C, + 0xEC0DD0A8, 0x81904A0C, + 0xEC71244F, 0x8180C6A9, + 0xECD48406, 0x8171914E, + 0xED37EF91, 0x8162AA03, + 0xED9B66B2, 0x815410D3, + 0xEDFEE92B, 0x8145C5C6, + 0xEE6276BF, 0x8137C8E6, + 0xEEC60F31, 0x812A1A39, + 0xEF29B243, 0x811CB9CA, + 0xEF8D5FB8, 0x810FA7A0, + 0xEFF11752, 0x8102E3C3, + 0xF054D8D4, 0x80F66E3C, + 0xF0B8A401, 0x80EA4712, + 0xF11C789A, 0x80DE6E4C, + 0xF1805662, 0x80D2E3F1, + 0xF1E43D1C, 0x80C7A80A, + 0xF2482C89, 0x80BCBA9C, + 0xF2AC246D, 0x80B21BAF, + 0xF310248A, 0x80A7CB49, + 0xF3742CA1, 0x809DC970, + 0xF3D83C76, 0x8094162B, + 0xF43C53CA, 0x808AB180, + 0xF4A07260, 0x80819B74, + 0xF50497FA, 0x8078D40D, + 0xF568C45A, 0x80705B50, + 0xF5CCF743, 0x80683143, + 0xF6313076, 0x806055EA, + 0xF6956FB6, 0x8058C94C, + 0xF6F9B4C5, 0x80518B6B, + 0xF75DFF65, 0x804A9C4D, + 0xF7C24F58, 0x8043FBF6, + 0xF826A461, 0x803DAA69, + 0xF88AFE41, 0x8037A7AC, + 0xF8EF5CBB, 0x8031F3C1, + 0xF953BF90, 0x802C8EAD, + 0xF9B82683, 0x80277872, + 0xFA1C9156, 0x8022B113, + 0xFA80FFCB, 0x801E3894, + 0xFAE571A4, 0x801A0EF7, + 0xFB49E6A2, 0x80163440, + 0xFBAE5E89, 0x8012A86F, + 0xFC12D919, 0x800F6B88, + 0xFC775616, 0x800C7D8C, + 0xFCDBD541, 0x8009DE7D, + 0xFD40565B, 0x80078E5E, + 0xFDA4D928, 0x80058D2E, + 0xFE095D69, 0x8003DAF0, + 0xFE6DE2E0, 0x800277A5, + 0xFED2694F, 0x8001634D, + 0xFF36F078, 0x80009DE9, + 0xFF9B781D, 0x8000277A +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 4096 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_4096_q31[6144] = +{ + 0x7FFFFFFF, 0x00000000, + 0x7FFFF621, 0x003243F5, + 0x7FFFD885, 0x006487E3, + 0x7FFFA72C, 0x0096CBC1, + 0x7FFF6216, 0x00C90F88, + 0x7FFF0942, 0x00FB532F, + 0x7FFE9CB2, 0x012D96B0, + 0x7FFE1C64, 0x015FDA03, + 0x7FFD885A, 0x01921D1F, + 0x7FFCE093, 0x01C45FFE, + 0x7FFC250F, 0x01F6A296, + 0x7FFB55CE, 0x0228E4E1, + 0x7FFA72D1, 0x025B26D7, + 0x7FF97C17, 0x028D6870, + 0x7FF871A1, 0x02BFA9A4, + 0x7FF7536F, 0x02F1EA6B, + 0x7FF62182, 0x03242ABF, + 0x7FF4DBD8, 0x03566A96, + 0x7FF38273, 0x0388A9E9, + 0x7FF21553, 0x03BAE8B1, + 0x7FF09477, 0x03ED26E6, + 0x7FEEFFE1, 0x041F647F, + 0x7FED5790, 0x0451A176, + 0x7FEB9B85, 0x0483DDC3, + 0x7FE9CBC0, 0x04B6195D, + 0x7FE7E840, 0x04E8543D, + 0x7FE5F108, 0x051A8E5C, + 0x7FE3E616, 0x054CC7B0, + 0x7FE1C76B, 0x057F0034, + 0x7FDF9508, 0x05B137DF, + 0x7FDD4EEC, 0x05E36EA9, + 0x7FDAF518, 0x0615A48A, + 0x7FD8878D, 0x0647D97C, + 0x7FD6064B, 0x067A0D75, + 0x7FD37152, 0x06AC406F, + 0x7FD0C8A3, 0x06DE7261, + 0x7FCE0C3E, 0x0710A344, + 0x7FCB3C23, 0x0742D310, + 0x7FC85853, 0x077501BE, + 0x7FC560CF, 0x07A72F45, + 0x7FC25596, 0x07D95B9E, + 0x7FBF36A9, 0x080B86C1, + 0x7FBC040A, 0x083DB0A7, + 0x7FB8BDB7, 0x086FD947, + 0x7FB563B2, 0x08A2009A, + 0x7FB1F5FC, 0x08D42698, + 0x7FAE7494, 0x09064B3A, + 0x7FAADF7C, 0x09386E77, + 0x7FA736B4, 0x096A9049, + 0x7FA37A3C, 0x099CB0A7, + 0x7F9FAA15, 0x09CECF89, + 0x7F9BC63F, 0x0A00ECE8, + 0x7F97CEBC, 0x0A3308BC, + 0x7F93C38C, 0x0A6522FE, + 0x7F8FA4AF, 0x0A973BA5, + 0x7F8B7226, 0x0AC952AA, + 0x7F872BF3, 0x0AFB6805, + 0x7F82D214, 0x0B2D7BAE, + 0x7F7E648B, 0x0B5F8D9F, + 0x7F79E35A, 0x0B919DCE, + 0x7F754E7F, 0x0BC3AC35, + 0x7F70A5FD, 0x0BF5B8CB, + 0x7F6BE9D4, 0x0C27C389, + 0x7F671A04, 0x0C59CC67, + 0x7F62368F, 0x0C8BD35E, + 0x7F5D3F75, 0x0CBDD865, + 0x7F5834B6, 0x0CEFDB75, + 0x7F531654, 0x0D21DC87, + 0x7F4DE450, 0x0D53DB92, + 0x7F489EAA, 0x0D85D88F, + 0x7F434563, 0x0DB7D376, + 0x7F3DD87C, 0x0DE9CC3F, + 0x7F3857F5, 0x0E1BC2E3, + 0x7F32C3D0, 0x0E4DB75B, + 0x7F2D1C0E, 0x0E7FA99D, + 0x7F2760AF, 0x0EB199A3, + 0x7F2191B4, 0x0EE38765, + 0x7F1BAF1E, 0x0F1572DC, + 0x7F15B8EE, 0x0F475BFE, + 0x7F0FAF24, 0x0F7942C6, + 0x7F0991C3, 0x0FAB272B, + 0x7F0360CB, 0x0FDD0925, + 0x7EFD1C3C, 0x100EE8AD, + 0x7EF6C418, 0x1040C5BB, + 0x7EF0585F, 0x1072A047, + 0x7EE9D913, 0x10A4784A, + 0x7EE34635, 0x10D64DBC, + 0x7EDC9FC6, 0x11082096, + 0x7ED5E5C6, 0x1139F0CE, + 0x7ECF1837, 0x116BBE5F, + 0x7EC8371A, 0x119D8940, + 0x7EC1426F, 0x11CF516A, + 0x7EBA3A39, 0x120116D4, + 0x7EB31E77, 0x1232D978, + 0x7EABEF2C, 0x1264994E, + 0x7EA4AC58, 0x1296564D, + 0x7E9D55FC, 0x12C8106E, + 0x7E95EC19, 0x12F9C7AA, + 0x7E8E6EB1, 0x132B7BF9, + 0x7E86DDC5, 0x135D2D53, + 0x7E7F3956, 0x138EDBB0, + 0x7E778165, 0x13C0870A, + 0x7E6FB5F3, 0x13F22F57, + 0x7E67D702, 0x1423D492, + 0x7E5FE493, 0x145576B1, + 0x7E57DEA6, 0x148715AD, + 0x7E4FC53E, 0x14B8B17F, + 0x7E47985B, 0x14EA4A1F, + 0x7E3F57FE, 0x151BDF85, + 0x7E37042A, 0x154D71AA, + 0x7E2E9CDF, 0x157F0086, + 0x7E26221E, 0x15B08C11, + 0x7E1D93E9, 0x15E21444, + 0x7E14F242, 0x16139917, + 0x7E0C3D29, 0x16451A83, + 0x7E03749F, 0x1676987F, + 0x7DFA98A7, 0x16A81305, + 0x7DF1A942, 0x16D98A0C, + 0x7DE8A670, 0x170AFD8D, + 0x7DDF9034, 0x173C6D80, + 0x7DD6668E, 0x176DD9DE, + 0x7DCD2981, 0x179F429F, + 0x7DC3D90D, 0x17D0A7BB, + 0x7DBA7534, 0x1802092C, + 0x7DB0FDF7, 0x183366E8, + 0x7DA77359, 0x1864C0E9, + 0x7D9DD55A, 0x18961727, + 0x7D9423FB, 0x18C7699B, + 0x7D8A5F3F, 0x18F8B83C, + 0x7D808727, 0x192A0303, + 0x7D769BB5, 0x195B49E9, + 0x7D6C9CE9, 0x198C8CE6, + 0x7D628AC5, 0x19BDCBF2, + 0x7D58654C, 0x19EF0706, + 0x7D4E2C7E, 0x1A203E1B, + 0x7D43E05E, 0x1A517127, + 0x7D3980EC, 0x1A82A025, + 0x7D2F0E2A, 0x1AB3CB0C, + 0x7D24881A, 0x1AE4F1D6, + 0x7D19EEBE, 0x1B161479, + 0x7D0F4218, 0x1B4732EF, + 0x7D048228, 0x1B784D30, + 0x7CF9AEF0, 0x1BA96334, + 0x7CEEC873, 0x1BDA74F5, + 0x7CE3CEB1, 0x1C0B826A, + 0x7CD8C1AD, 0x1C3C8B8C, + 0x7CCDA168, 0x1C6D9053, + 0x7CC26DE5, 0x1C9E90B8, + 0x7CB72724, 0x1CCF8CB3, + 0x7CABCD27, 0x1D00843C, + 0x7CA05FF1, 0x1D31774D, + 0x7C94DF82, 0x1D6265DD, + 0x7C894BDD, 0x1D934FE5, + 0x7C7DA504, 0x1DC4355D, + 0x7C71EAF8, 0x1DF5163F, + 0x7C661DBB, 0x1E25F281, + 0x7C5A3D4F, 0x1E56CA1E, + 0x7C4E49B6, 0x1E879D0C, + 0x7C4242F2, 0x1EB86B46, + 0x7C362904, 0x1EE934C2, + 0x7C29FBEE, 0x1F19F97B, + 0x7C1DBBB2, 0x1F4AB967, + 0x7C116853, 0x1F7B7480, + 0x7C0501D1, 0x1FAC2ABF, + 0x7BF88830, 0x1FDCDC1A, + 0x7BEBFB70, 0x200D888C, + 0x7BDF5B94, 0x203E300D, + 0x7BD2A89E, 0x206ED295, + 0x7BC5E28F, 0x209F701C, + 0x7BB9096A, 0x20D0089B, + 0x7BAC1D31, 0x21009C0B, + 0x7B9F1DE5, 0x21312A65, + 0x7B920B89, 0x2161B39F, + 0x7B84E61E, 0x219237B4, + 0x7B77ADA8, 0x21C2B69C, + 0x7B6A6227, 0x21F3304E, + 0x7B5D039D, 0x2223A4C5, + 0x7B4F920E, 0x225413F8, + 0x7B420D7A, 0x22847DDF, + 0x7B3475E4, 0x22B4E274, + 0x7B26CB4F, 0x22E541AE, + 0x7B190DBB, 0x23159B87, + 0x7B0B3D2C, 0x2345EFF7, + 0x7AFD59A3, 0x23763EF7, + 0x7AEF6323, 0x23A6887E, + 0x7AE159AE, 0x23D6CC86, + 0x7AD33D45, 0x24070B07, + 0x7AC50DEB, 0x243743FA, + 0x7AB6CBA3, 0x24677757, + 0x7AA8766E, 0x2497A517, + 0x7A9A0E4F, 0x24C7CD32, + 0x7A8B9348, 0x24F7EFA1, + 0x7A7D055B, 0x25280C5D, + 0x7A6E648A, 0x2558235E, + 0x7A5FB0D8, 0x2588349D, + 0x7A50EA46, 0x25B84012, + 0x7A4210D8, 0x25E845B5, + 0x7A33248F, 0x26184581, + 0x7A24256E, 0x26483F6C, + 0x7A151377, 0x26783370, + 0x7A05EEAD, 0x26A82185, + 0x79F6B711, 0x26D809A5, + 0x79E76CA6, 0x2707EBC6, + 0x79D80F6F, 0x2737C7E3, + 0x79C89F6D, 0x27679DF4, + 0x79B91CA4, 0x27976DF1, + 0x79A98715, 0x27C737D2, + 0x7999DEC3, 0x27F6FB92, + 0x798A23B1, 0x2826B928, + 0x797A55E0, 0x2856708C, + 0x796A7554, 0x288621B9, + 0x795A820E, 0x28B5CCA5, + 0x794A7C11, 0x28E5714A, + 0x793A6360, 0x29150FA1, + 0x792A37FE, 0x2944A7A2, + 0x7919F9EB, 0x29743945, + 0x7909A92C, 0x29A3C484, + 0x78F945C3, 0x29D34958, + 0x78E8CFB1, 0x2A02C7B8, + 0x78D846FB, 0x2A323F9D, + 0x78C7ABA1, 0x2A61B101, + 0x78B6FDA8, 0x2A911BDB, + 0x78A63D10, 0x2AC08025, + 0x789569DE, 0x2AEFDDD8, + 0x78848413, 0x2B1F34EB, + 0x78738BB3, 0x2B4E8558, + 0x786280BF, 0x2B7DCF17, + 0x7851633B, 0x2BAD1221, + 0x78403328, 0x2BDC4E6F, + 0x782EF08B, 0x2C0B83F9, + 0x781D9B64, 0x2C3AB2B9, + 0x780C33B8, 0x2C69DAA6, + 0x77FAB988, 0x2C98FBBA, + 0x77E92CD8, 0x2CC815ED, + 0x77D78DAA, 0x2CF72939, + 0x77C5DC01, 0x2D263595, + 0x77B417DF, 0x2D553AFB, + 0x77A24148, 0x2D843963, + 0x7790583D, 0x2DB330C7, + 0x777E5CC3, 0x2DE2211E, + 0x776C4EDB, 0x2E110A62, + 0x775A2E88, 0x2E3FEC8B, + 0x7747FBCE, 0x2E6EC792, + 0x7735B6AE, 0x2E9D9B70, + 0x77235F2D, 0x2ECC681E, + 0x7710F54B, 0x2EFB2D94, + 0x76FE790E, 0x2F29EBCC, + 0x76EBEA77, 0x2F58A2BD, + 0x76D94988, 0x2F875262, + 0x76C69646, 0x2FB5FAB2, + 0x76B3D0B3, 0x2FE49BA6, + 0x76A0F8D2, 0x30133538, + 0x768E0EA5, 0x3041C760, + 0x767B1230, 0x30705217, + 0x76680376, 0x309ED555, + 0x7654E279, 0x30CD5114, + 0x7641AF3C, 0x30FBC54D, + 0x762E69C3, 0x312A31F8, + 0x761B1211, 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0x0CBDD865, + 0x809DC970, 0x0C8BD35E, + 0x8098E5FB, 0x0C59CC67, + 0x8094162B, 0x0C27C389, + 0x808F5A02, 0x0BF5B8CB, + 0x808AB180, 0x0BC3AC35, + 0x80861CA5, 0x0B919DCE, + 0x80819B74, 0x0B5F8D9F, + 0x807D2DEB, 0x0B2D7BAE, + 0x8078D40D, 0x0AFB6805, + 0x80748DD9, 0x0AC952AA, + 0x80705B50, 0x0A973BA5, + 0x806C3C73, 0x0A6522FE, + 0x80683143, 0x0A3308BC, + 0x806439C0, 0x0A00ECE8, + 0x806055EA, 0x09CECF89, + 0x805C85C3, 0x099CB0A7, + 0x8058C94C, 0x096A9049, + 0x80552083, 0x09386E77, + 0x80518B6B, 0x09064B3A, + 0x804E0A03, 0x08D42698, + 0x804A9C4D, 0x08A2009A, + 0x80474248, 0x086FD947, + 0x8043FBF6, 0x083DB0A7, + 0x8040C956, 0x080B86C1, + 0x803DAA69, 0x07D95B9E, + 0x803A9F31, 0x07A72F45, + 0x8037A7AC, 0x077501BE, + 0x8034C3DC, 0x0742D310, + 0x8031F3C1, 0x0710A344, + 0x802F375C, 0x06DE7261, + 0x802C8EAD, 0x06AC406F, + 0x8029F9B4, 0x067A0D75, + 0x80277872, 0x0647D97C, + 0x80250AE7, 0x0615A48A, + 0x8022B113, 0x05E36EA9, + 0x80206AF8, 0x05B137DF, + 0x801E3894, 0x057F0034, + 0x801C19E9, 0x054CC7B0, 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0x80058D2E, 0xFDA4D928, + 0x800683E8, 0xFD72978F, + 0x80078E5E, 0xFD40565B, + 0x8008AC90, 0xFD0E1594, + 0x8009DE7D, 0xFCDBD541, + 0x800B2427, 0xFCA99569, + 0x800C7D8C, 0xFC775616, + 0x800DEAAC, 0xFC45174E, + 0x800F6B88, 0xFC12D919, + 0x8011001E, 0xFBE09B80, + 0x8012A86F, 0xFBAE5E89, + 0x8014647A, 0xFB7C223C, + 0x80163440, 0xFB49E6A2, + 0x801817BF, 0xFB17ABC2, + 0x801A0EF7, 0xFAE571A4, + 0x801C19E9, 0xFAB3384F, + 0x801E3894, 0xFA80FFCB, + 0x80206AF8, 0xFA4EC820, + 0x8022B113, 0xFA1C9156, + 0x80250AE7, 0xF9EA5B75, + 0x80277872, 0xF9B82683, + 0x8029F9B4, 0xF985F28A, + 0x802C8EAD, 0xF953BF90, + 0x802F375C, 0xF9218D9E, + 0x8031F3C1, 0xF8EF5CBB, + 0x8034C3DC, 0xF8BD2CEF, + 0x8037A7AC, 0xF88AFE41, + 0x803A9F31, 0xF858D0BA, + 0x803DAA69, 0xF826A461, + 0x8040C956, 0xF7F4793E, + 0x8043FBF6, 0xF7C24F58, + 0x80474248, 0xF79026B8, + 0x804A9C4D, 0xF75DFF65, + 0x804E0A03, 0xF72BD967, + 0x80518B6B, 0xF6F9B4C5, + 0x80552083, 0xF6C79188, + 0x8058C94C, 0xF6956FB6, + 0x805C85C3, 0xF6634F58, + 0x806055EA, 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0xA01C4C72, 0xAB35F5B5, + 0xA03D9FC7, 0xAB105464, + 0xA05F01E1, 0xAAEAC02B, + 0xA08072BA, 0xAAC53912, + 0xA0A1F24C, 0xAA9FBF1D, + 0xA0C38094, 0xAA7A5253, + 0xA0E51D8C, 0xAA54F2B9, + 0xA106C92E, 0xAA2FA055, + 0xA1288376, 0xAA0A5B2D, + 0xA14A4C5E, 0xA9E52347, + 0xA16C23E1, 0xA9BFF8A8, + 0xA18E09F9, 0xA99ADB56, + 0xA1AFFEA2, 0xA975CB56, + 0xA1D201D7, 0xA950C8AF, + 0xA1F41391, 0xA92BD366, + 0xA21633CD, 0xA906EB81, + 0xA2386283, 0xA8E21106, + 0xA25A9FB1, 0xA8BD43FA, + 0xA27CEB4F, 0xA8988463, + 0xA29F4559, 0xA873D246, + 0xA2C1ADC9, 0xA84F2DA9, + 0xA2E4249A, 0xA82A9693, + 0xA306A9C7, 0xA8060D08, + 0xA3293D4B, 0xA7E1910E, + 0xA34BDF20, 0xA7BD22AB, + 0xA36E8F40, 0xA798C1E4, + 0xA3914DA7, 0xA7746EC0, + 0xA3B41A4F, 0xA7502943, + 0xA3D6F533, 0xA72BF173, + 0xA3F9DE4D, 0xA707C756, + 0xA41CD598, 0xA6E3AAF2, + 0xA43FDB0F, 0xA6BF9C4B, + 0xA462EEAC, 0xA69B9B68, + 0xA4861069, 0xA677A84E, + 0xA4A94042, 0xA653C302, + 0xA4CC7E31, 0xA62FEB8B, + 0xA4EFCA31, 0xA60C21ED, + 0xA513243B, 0xA5E8662F, + 0xA5368C4B, 0xA5C4B855, + 0xA55A025B, 0xA5A11865, + 0xA57D8666, 0xA57D8666, + 0xA5A11865, 0xA55A025B, + 0xA5C4B855, 0xA5368C4B, + 0xA5E8662F, 0xA513243B, + 0xA60C21ED, 0xA4EFCA31, + 0xA62FEB8B, 0xA4CC7E31, + 0xA653C302, 0xA4A94042, + 0xA677A84E, 0xA4861069, + 0xA69B9B68, 0xA462EEAC, + 0xA6BF9C4B, 0xA43FDB0F, + 0xA6E3AAF2, 0xA41CD598, + 0xA707C756, 0xA3F9DE4D, + 0xA72BF173, 0xA3D6F533, + 0xA7502943, 0xA3B41A4F, + 0xA7746EC0, 0xA3914DA7, + 0xA798C1E4, 0xA36E8F40, + 0xA7BD22AB, 0xA34BDF20, + 0xA7E1910E, 0xA3293D4B, + 0xA8060D08, 0xA306A9C7, + 0xA82A9693, 0xA2E4249A, + 0xA84F2DA9, 0xA2C1ADC9, + 0xA873D246, 0xA29F4559, + 0xA8988463, 0xA27CEB4F, + 0xA8BD43FA, 0xA25A9FB1, + 0xA8E21106, 0xA2386283, + 0xA906EB81, 0xA21633CD, + 0xA92BD366, 0xA1F41391, + 0xA950C8AF, 0xA1D201D7, + 0xA975CB56, 0xA1AFFEA2, + 0xA99ADB56, 0xA18E09F9, + 0xA9BFF8A8, 0xA16C23E1, + 0xA9E52347, 0xA14A4C5E, + 0xAA0A5B2D, 0xA1288376, + 0xAA2FA055, 0xA106C92E, + 0xAA54F2B9, 0xA0E51D8C, + 0xAA7A5253, 0xA0C38094, + 0xAA9FBF1D, 0xA0A1F24C, + 0xAAC53912, 0xA08072BA, + 0xAAEAC02B, 0xA05F01E1, + 0xAB105464, 0xA03D9FC7, + 0xAB35F5B5, 0xA01C4C72, + 0xAB5BA41A, 0x9FFB07E7, + 0xAB815F8C, 0x9FD9D22A, + 0xABA72806, 0x9FB8AB41, + 0xABCCFD82, 0x9F979331, + 0xABF2DFFA, 0x9F7689FF, + 0xAC18CF68, 0x9F558FB0, + 0xAC3ECBC7, 0x9F34A449, + 0xAC64D510, 0x9F13C7D0, + 0xAC8AEB3E, 0x9EF2FA48, + 0xACB10E4A, 0x9ED23BB9, + 0xACD73E30, 0x9EB18C26, + 0xACFD7AE8, 0x9E90EB94, + 0xAD23C46D, 0x9E705A09, + 0xAD4A1ABA, 0x9E4FD789, + 0xAD707DC8, 0x9E2F641A, + 0xAD96ED91, 0x9E0EFFC1, + 0xADBD6A10, 0x9DEEAA82, + 0xADE3F33E, 0x9DCE6462, + 0xAE0A8916, 0x9DAE2D68, + 0xAE312B91, 0x9D8E0596, + 0xAE57DAAA, 0x9D6DECF4, + 0xAE7E965B, 0x9D4DE384, + 0xAEA55E9D, 0x9D2DE94D, + 0xAECC336B, 0x9D0DFE53, + 0xAEF314BF, 0x9CEE229C, + 0xAF1A0293, 0x9CCE562B, + 0xAF40FCE0, 0x9CAE9907, + 0xAF6803A1, 0x9C8EEB33, + 0xAF8F16D0, 0x9C6F4CB5, + 0xAFB63667, 0x9C4FBD92, + 0xAFDD625F, 0x9C303DCF, + 0xB0049AB2, 0x9C10CD70, + 0xB02BDF5C, 0x9BF16C7A, + 0xB0533055, 0x9BD21AF2, + 0xB07A8D97, 0x9BB2D8DD, + 0xB0A1F71C, 0x9B93A640, + 0xB0C96CDF, 0x9B748320, + 0xB0F0EEDA, 0x9B556F80, + 0xB1187D05, 0x9B366B67, + 0xB140175B, 0x9B1776D9, + 0xB167BDD6, 0x9AF891DB, + 0xB18F7070, 0x9AD9BC71, + 0xB1B72F23, 0x9ABAF6A0, + 0xB1DEF9E8, 0x9A9C406D, + 0xB206D0BA, 0x9A7D99DD, + 0xB22EB392, 0x9A5F02F5, + 0xB256A26A, 0x9A407BB8, + 0xB27E9D3B, 0x9A22042C, + 0xB2A6A401, 0x9A039C56, + 0xB2CEB6B5, 0x99E5443A, + 0xB2F6D54F, 0x99C6FBDE, + 0xB31EFFCB, 0x99A8C344, + 0xB3473622, 0x998A9A73, + 0xB36F784E, 0x996C816F, + 0xB397C649, 0x994E783C, + 0xB3C0200C, 0x99307EE0, + 0xB3E88591, 0x9912955E, + 0xB410F6D2, 0x98F4BBBC, + 0xB43973C9, 0x98D6F1FE, + 0xB461FC70, 0x98B93828, + 0xB48A90C0, 0x989B8E3F, + 0xB4B330B2, 0x987DF449, + 0xB4DBDC42, 0x98606A48, + 0xB5049368, 0x9842F043, + 0xB52D561E, 0x9825863D, + 0xB556245E, 0x98082C3B, + 0xB57EFE21, 0x97EAE241, + 0xB5A7E362, 0x97CDA855, + 0xB5D0D41A, 0x97B07E7A, + 0xB5F9D042, 0x979364B5, + 0xB622D7D5, 0x97765B0A, + 0xB64BEACC, 0x9759617E, + 0xB6750921, 0x973C7816, + 0xB69E32CD, 0x971F9ED6, + 0xB6C767CA, 0x9702D5C2, + 0xB6F0A811, 0x96E61CDF, + 0xB719F39D, 0x96C97431, + 0xB7434A67, 0x96ACDBBD, + 0xB76CAC68, 0x96905387, + 0xB796199B, 0x9673DB94, + 0xB7BF91F8, 0x965773E7, + 0xB7E9157A, 0x963B1C85, + 0xB812A419, 0x961ED573, + 0xB83C3DD1, 0x96029EB5, + 0xB865E299, 0x95E6784F, + 0xB88F926C, 0x95CA6246, + 0xB8B94D44, 0x95AE5C9E, + 0xB8E31319, 0x9592675B, + 0xB90CE3E6, 0x95768282, + 0xB936BFA3, 0x955AAE17, + 0xB960A64B, 0x953EEA1E, + 0xB98A97D8, 0x9523369B, + 0xB9B49442, 0x95079393, + 0xB9DE9B83, 0x94EC010B, + 0xBA08AD94, 0x94D07F05, + 0xBA32CA70, 0x94B50D87, + 0xBA5CF210, 0x9499AC95, + 0xBA87246C, 0x947E5C32, + 0xBAB1617F, 0x94631C64, + 0xBADBA943, 0x9447ED2F, + 0xBB05FBB0, 0x942CCE95, + 0xBB3058C0, 0x9411C09D, + 0xBB5AC06C, 0x93F6C34A, + 0xBB8532AF, 0x93DBD69F, + 0xBBAFAF81, 0x93C0FAA2, + 0xBBDA36DC, 0x93A62F56, + 0xBC04C8BA, 0x938B74C0, + 0xBC2F6513, 0x9370CAE4, + 0xBC5A0BE1, 0x935631C5, + 0xBC84BD1E, 0x933BA968, + 0xBCAF78C3, 0x932131D1, + 0xBCDA3ECA, 0x9306CB04, + 0xBD050F2C, 0x92EC7505, + 0xBD2FE9E1, 0x92D22FD8, + 0xBD5ACEE5, 0x92B7FB82, + 0xBD85BE2F, 0x929DD805, + 0xBDB0B7BA, 0x9283C567, + 0xBDDBBB7F, 0x9269C3AC, + 0xBE06C977, 0x924FD2D6, + 0xBE31E19B, 0x9235F2EB, + 0xBE5D03E5, 0x921C23EE, + 0xBE88304F, 0x920265E4, + 0xBEB366D1, 0x91E8B8D0, + 0xBEDEA765, 0x91CF1CB6, + 0xBF09F204, 0x91B5919A, + 0xBF3546A8, 0x919C1780, + 0xBF60A54A, 0x9182AE6C, + 0xBF8C0DE2, 0x91695663, + 0xBFB7806C, 0x91500F67, + 0xBFE2FCDF, 0x9136D97D, + 0xC00E8335, 0x911DB4A8, + 0xC03A1368, 0x9104A0ED, + 0xC065AD70, 0x90EB9E50, + 0xC0915147, 0x90D2ACD3, + 0xC0BCFEE7, 0x90B9CC7C, + 0xC0E8B648, 0x90A0FD4E, + 0xC1147763, 0x90883F4C, + 0xC1404233, 0x906F927B, + 0xC16C16B0, 0x9056F6DF, + 0xC197F4D3, 0x903E6C7A, + 0xC1C3DC96, 0x9025F352, + 0xC1EFCDF2, 0x900D8B69, + 0xC21BC8E0, 0x8FF534C4, + 0xC247CD5A, 0x8FDCEF66, + 0xC273DB58, 0x8FC4BB53, + 0xC29FF2D4, 0x8FAC988E, + 0xC2CC13C7, 0x8F94871D, + 0xC2F83E2A, 0x8F7C8701, + 0xC32471F6, 0x8F64983F, + 0xC350AF25, 0x8F4CBADB, + 0xC37CF5B0, 0x8F34EED8, + 0xC3A9458F, 0x8F1D343A, + 0xC3D59EBD, 0x8F058B04, + 0xC4020132, 0x8EEDF33B, + 0xC42E6CE8, 0x8ED66CE1, + 0xC45AE1D7, 0x8EBEF7FB, + 0xC4875FF8, 0x8EA7948C, + 0xC4B3E746, 0x8E904298, + 0xC4E077B8, 0x8E790222, + 0xC50D1148, 0x8E61D32D, + 0xC539B3F0, 0x8E4AB5BF, + 0xC5665FA8, 0x8E33A9D9, + 0xC593146A, 0x8E1CAF80, + 0xC5BFD22E, 0x8E05C6B7, + 0xC5EC98ED, 0x8DEEEF82, + 0xC61968A2, 0x8DD829E4, + 0xC6464144, 0x8DC175E0, + 0xC67322CD, 0x8DAAD37B, + 0xC6A00D36, 0x8D9442B7, + 0xC6CD0079, 0x8D7DC399, + 0xC6F9FC8D, 0x8D675623, + 0xC727016C, 0x8D50FA59, + 0xC7540F10, 0x8D3AB03F, + 0xC7812571, 0x8D2477D8, + 0xC7AE4489, 0x8D0E5127, + 0xC7DB6C50, 0x8CF83C30, + 0xC8089CBF, 0x8CE238F6, + 0xC835D5D0, 0x8CCC477D, + 0xC863177B, 0x8CB667C7, + 0xC89061BA, 0x8CA099D9, + 0xC8BDB485, 0x8C8ADDB6, + 0xC8EB0FD6, 0x8C753361, + 0xC91873A5, 0x8C5F9ADD, + 0xC945DFEC, 0x8C4A142F, + 0xC97354A3, 0x8C349F58, + 0xC9A0D1C4, 0x8C1F3C5C, + 0xC9CE5748, 0x8C09EB40, + 0xC9FBE527, 0x8BF4AC05, + 0xCA297B5A, 0x8BDF7EAF, + 0xCA5719DB, 0x8BCA6342, + 0xCA84C0A2, 0x8BB559C1, + 0xCAB26FA9, 0x8BA0622F, + 0xCAE026E8, 0x8B8B7C8F, + 0xCB0DE658, 0x8B76A8E4, + 0xCB3BADF2, 0x8B61E732, + 0xCB697DB0, 0x8B4D377C, + 0xCB975589, 0x8B3899C5, + 0xCBC53578, 0x8B240E10, + 0xCBF31D75, 0x8B0F9461, + 0xCC210D78, 0x8AFB2CBA, + 0xCC4F057B, 0x8AE6D71F, + 0xCC7D0577, 0x8AD29393, + 0xCCAB0D65, 0x8ABE6219, + 0xCCD91D3D, 0x8AAA42B4, + 0xCD0734F8, 0x8A963567, + 0xCD355490, 0x8A823A35, + 0xCD637BFD, 0x8A6E5122, + 0xCD91AB38, 0x8A5A7A30, + 0xCDBFE23A, 0x8A46B563, + 0xCDEE20FC, 0x8A3302BD, + 0xCE1C6776, 0x8A1F6242, + 0xCE4AB5A2, 0x8A0BD3F5, + 0xCE790B78, 0x89F857D8, + 0xCEA768F2, 0x89E4EDEE, + 0xCED5CE08, 0x89D1963C, + 0xCF043AB2, 0x89BE50C3, + 0xCF32AEEB, 0x89AB1D86, + 0xCF612AAA, 0x8997FC89, + 0xCF8FADE8, 0x8984EDCF, + 0xCFBE389F, 0x8971F15A, + 0xCFECCAC7, 0x895F072D, + 0xD01B6459, 0x894C2F4C, + 0xD04A054D, 0x893969B9, + 0xD078AD9D, 0x8926B677, + 0xD0A75D42, 0x89141589, + 0xD0D61433, 0x890186F1, + 0xD104D26B, 0x88EF0AB4, + 0xD13397E1, 0x88DCA0D3, + 0xD162648F, 0x88CA4951, + 0xD191386D, 0x88B80431, + 0xD1C01374, 0x88A5D177, + 0xD1EEF59E, 0x8893B124, + 0xD21DDEE1, 0x8881A33C, + 0xD24CCF38, 0x886FA7C2, + 0xD27BC69C, 0x885DBEB7, + 0xD2AAC504, 0x884BE820, + 0xD2D9CA6A, 0x883A23FE, + 0xD308D6C6, 0x88287255, + 0xD337EA12, 0x8816D327, + 0xD3670445, 0x88054677, + 0xD3962559, 0x87F3CC47, + 0xD3C54D46, 0x87E2649B, + 0xD3F47C06, 0x87D10F75, + 0xD423B190, 0x87BFCCD7, + 0xD452EDDE, 0x87AE9CC5, + 0xD48230E8, 0x879D7F40, + 0xD4B17AA7, 0x878C744C, + 0xD4E0CB14, 0x877B7BEC, + 0xD5102227, 0x876A9621, + 0xD53F7FDA, 0x8759C2EF, + 0xD56EE424, 0x87490257, + 0xD59E4EFE, 0x8738545E, + 0xD5CDC062, 0x8727B904, + 0xD5FD3847, 0x8717304E, + 0xD62CB6A7, 0x8706BA3C, + 0xD65C3B7B, 0x86F656D3, + 0xD68BC6BA, 0x86E60614, + 0xD6BB585D, 0x86D5C802, + 0xD6EAF05E, 0x86C59C9F, + 0xD71A8EB5, 0x86B583EE, + 0xD74A335A, 0x86A57DF1, + 0xD779DE46, 0x86958AAB, + 0xD7A98F73, 0x8685AA1F, + 0xD7D946D7, 0x8675DC4E, + 0xD809046D, 0x8666213C, + 0xD838C82D, 0x865678EA, + 0xD868920F, 0x8646E35B, + 0xD898620C, 0x86376092, + 0xD8C8381C, 0x8627F090, + 0xD8F81439, 0x86189359, + 0xD927F65B, 0x860948EE, + 0xD957DE7A, 0x85FA1152, + 0xD987CC8F, 0x85EAEC88, + 0xD9B7C093, 0x85DBDA91, + 0xD9E7BA7E, 0x85CCDB70, + 0xDA17BA4A, 0x85BDEF27, + 0xDA47BFED, 0x85AF15B9, + 0xDA77CB62, 0x85A04F28, + 0xDAA7DCA1, 0x85919B75, + 0xDAD7F3A2, 0x8582FAA4, + 0xDB08105E, 0x85746CB7, + 0xDB3832CD, 0x8565F1B0, + 0xDB685AE8, 0x85578991, + 0xDB9888A8, 0x8549345C, + 0xDBC8BC05, 0x853AF214, + 0xDBF8F4F8, 0x852CC2BA, + 0xDC293379, 0x851EA652, + 0xDC597781, 0x85109CDC, + 0xDC89C108, 0x8502A65C, + 0xDCBA1008, 0x84F4C2D3, + 0xDCEA6478, 0x84E6F244, + 0xDD1ABE51, 0x84D934B0, + 0xDD4B1D8B, 0x84CB8A1B, + 0xDD7B8220, 0x84BDF285, + 0xDDABEC07, 0x84B06DF1, + 0xDDDC5B3A, 0x84A2FC62, + 0xDE0CCFB1, 0x84959DD9, + 0xDE3D4963, 0x84885257, + 0xDE6DC84B, 0x847B19E1, + 0xDE9E4C60, 0x846DF476, + 0xDECED59B, 0x8460E21A, + 0xDEFF63F4, 0x8453E2CE, + 0xDF2FF764, 0x8446F695, + 0xDF608FE3, 0x843A1D70, + 0xDF912D6A, 0x842D5761, + 0xDFC1CFF2, 0x8420A46B, + 0xDFF27773, 0x8414048F, + 0xE02323E5, 0x840777CF, + 0xE053D541, 0x83FAFE2E, + 0xE0848B7F, 0x83EE97AC, + 0xE0B54698, 0x83E2444D, + 0xE0E60684, 0x83D60411, + 0xE116CB3D, 0x83C9D6FB, + 0xE14794B9, 0x83BDBD0D, + 0xE17862F3, 0x83B1B649, + 0xE1A935E1, 0x83A5C2B0, + 0xE1DA0D7E, 0x8399E244, + 0xE20AE9C1, 0x838E1507, + 0xE23BCAA2, 0x83825AFB, + 0xE26CB01A, 0x8376B422, + 0xE29D9A22, 0x836B207D, + 0xE2CE88B2, 0x835FA00E, + 0xE2FF7BC3, 0x835432D8, + 0xE330734C, 0x8348D8DB, + 0xE3616F47, 0x833D921A, + 0xE3926FAC, 0x83325E97, + 0xE3C37473, 0x83273E52, + 0xE3F47D95, 0x831C314E, + 0xE4258B0A, 0x8311378C, + 0xE4569CCB, 0x8306510F, + 0xE487B2CF, 0x82FB7DD8, + 0xE4B8CD10, 0x82F0BDE8, + 0xE4E9EB86, 0x82E61141, + 0xE51B0E2A, 0x82DB77E5, + 0xE54C34F3, 0x82D0F1D5, + 0xE57D5FDA, 0x82C67F13, + 0xE5AE8ED8, 0x82BC1FA1, + 0xE5DFC1E4, 0x82B1D381, + 0xE610F8F9, 0x82A79AB3, + 0xE642340D, 0x829D753A, + 0xE6737319, 0x82936316, + 0xE6A4B616, 0x8289644A, + 0xE6D5FCFC, 0x827F78D8, + 0xE70747C3, 0x8275A0C0, + 0xE7389664, 0x826BDC04, + 0xE769E8D8, 0x82622AA5, + 0xE79B3F16, 0x82588CA6, + 0xE7CC9917, 0x824F0208, + 0xE7FDF6D3, 0x82458ACB, + 0xE82F5844, 0x823C26F2, + 0xE860BD60, 0x8232D67E, + 0xE8922621, 0x82299971, + 0xE8C3927F, 0x82206FCB, + 0xE8F50273, 0x8217598F, + 0xE92675F4, 0x820E56BE, + 0xE957ECFB, 0x82056758, + 0xE9896780, 0x81FC8B60, + 0xE9BAE57C, 0x81F3C2D7, + 0xE9EC66E8, 0x81EB0DBD, + 0xEA1DEBBB, 0x81E26C16, + 0xEA4F73EE, 0x81D9DDE1, + 0xEA80FF79, 0x81D16320, + 0xEAB28E55, 0x81C8FBD5, + 0xEAE4207A, 0x81C0A801, + 0xEB15B5E0, 0x81B867A4, + 0xEB474E80, 0x81B03AC1, + 0xEB78EA52, 0x81A82159, + 0xEBAA894E, 0x81A01B6C, + 0xEBDC2B6D, 0x819828FD, + 0xEC0DD0A8, 0x81904A0C, + 0xEC3F78F5, 0x81887E9A, + 0xEC71244F, 0x8180C6A9, + 0xECA2D2AC, 0x8179223A, + 0xECD48406, 0x8171914E, + 0xED063855, 0x816A13E6, + 0xED37EF91, 0x8162AA03, + 0xED69A9B2, 0x815B53A8, + 0xED9B66B2, 0x815410D3, + 0xEDCD2687, 0x814CE188, + 0xEDFEE92B, 0x8145C5C6, + 0xEE30AE95, 0x813EBD90, + 0xEE6276BF, 0x8137C8E6, + 0xEE9441A0, 0x8130E7C8, + 0xEEC60F31, 0x812A1A39, + 0xEEF7DF6A, 0x81236039, + 0xEF29B243, 0x811CB9CA, + 0xEF5B87B5, 0x811626EC, + 0xEF8D5FB8, 0x810FA7A0, + 0xEFBF3A44, 0x81093BE8, + 0xEFF11752, 0x8102E3C3, + 0xF022F6DA, 0x80FC9F35, + 0xF054D8D4, 0x80F66E3C, + 0xF086BD39, 0x80F050DB, + 0xF0B8A401, 0x80EA4712, + 0xF0EA8D23, 0x80E450E2, + 0xF11C789A, 0x80DE6E4C, + 0xF14E665C, 0x80D89F51, + 0xF1805662, 0x80D2E3F1, + 0xF1B248A5, 0x80CD3C2F, + 0xF1E43D1C, 0x80C7A80A, + 0xF21633C0, 0x80C22783, + 0xF2482C89, 0x80BCBA9C, + 0xF27A2770, 0x80B76155, + 0xF2AC246D, 0x80B21BAF, + 0xF2DE2378, 0x80ACE9AB, + 0xF310248A, 0x80A7CB49, + 0xF342279A, 0x80A2C08B, + 0xF3742CA1, 0x809DC970, + 0xF3A63398, 0x8098E5FB, + 0xF3D83C76, 0x8094162B, + 0xF40A4734, 0x808F5A02, + 0xF43C53CA, 0x808AB180, + 0xF46E6231, 0x80861CA5, + 0xF4A07260, 0x80819B74, + 0xF4D28451, 0x807D2DEB, + 0xF50497FA, 0x8078D40D, + 0xF536AD55, 0x80748DD9, + 0xF568C45A, 0x80705B50, + 0xF59ADD01, 0x806C3C73, + 0xF5CCF743, 0x80683143, + 0xF5FF1317, 0x806439C0, + 0xF6313076, 0x806055EA, + 0xF6634F58, 0x805C85C3, + 0xF6956FB6, 0x8058C94C, + 0xF6C79188, 0x80552083, + 0xF6F9B4C5, 0x80518B6B, + 0xF72BD967, 0x804E0A03, + 0xF75DFF65, 0x804A9C4D, + 0xF79026B8, 0x80474248, + 0xF7C24F58, 0x8043FBF6, + 0xF7F4793E, 0x8040C956, + 0xF826A461, 0x803DAA69, + 0xF858D0BA, 0x803A9F31, + 0xF88AFE41, 0x8037A7AC, + 0xF8BD2CEF, 0x8034C3DC, + 0xF8EF5CBB, 0x8031F3C1, + 0xF9218D9E, 0x802F375C, + 0xF953BF90, 0x802C8EAD, + 0xF985F28A, 0x8029F9B4, + 0xF9B82683, 0x80277872, + 0xF9EA5B75, 0x80250AE7, + 0xFA1C9156, 0x8022B113, + 0xFA4EC820, 0x80206AF8, + 0xFA80FFCB, 0x801E3894, + 0xFAB3384F, 0x801C19E9, + 0xFAE571A4, 0x801A0EF7, + 0xFB17ABC2, 0x801817BF, + 0xFB49E6A2, 0x80163440, + 0xFB7C223C, 0x8014647A, + 0xFBAE5E89, 0x8012A86F, + 0xFBE09B80, 0x8011001E, + 0xFC12D919, 0x800F6B88, + 0xFC45174E, 0x800DEAAC, + 0xFC775616, 0x800C7D8C, + 0xFCA99569, 0x800B2427, + 0xFCDBD541, 0x8009DE7D, + 0xFD0E1594, 0x8008AC90, + 0xFD40565B, 0x80078E5E, + 0xFD72978F, 0x800683E8, + 0xFDA4D928, 0x80058D2E, + 0xFDD71B1E, 0x8004AA31, + 0xFE095D69, 0x8003DAF0, + 0xFE3BA001, 0x80031F6C, + 0xFE6DE2E0, 0x800277A5, + 0xFEA025FC, 0x8001E39B, + 0xFED2694F, 0x8001634D, + 0xFF04ACD0, 0x8000F6BD, + 0xFF36F078, 0x80009DE9, + 0xFF69343E, 0x800058D3, + 0xFF9B781D, 0x8000277A, + 0xFFCDBC0A, 0x800009DE +}; + + + +/* +* @brief q15 Twiddle factors Table +*/ + + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 16 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_16_q15[24] = { + 0x7FFF, 0x0000, + 0x7641, 0x30FB, + 0x5A82, 0x5A82, + 0x30FB, 0x7641, + 0x0000, 0x7FFF, + 0xCF04, 0x7641, + 0xA57D, 0x5A82, + 0x89BE, 0x30FB, + 0x8000, 0x0000, + 0x89BE, 0xCF04, + 0xA57D, 0xA57D, + 0xCF04, 0x89BE +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 32 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_32_q15[48] = { + 0x7FFF, 0x0000, + 0x7D8A, 0x18F8, + 0x7641, 0x30FB, + 0x6A6D, 0x471C, + 0x5A82, 0x5A82, + 0x471C, 0x6A6D, + 0x30FB, 0x7641, + 0x18F8, 0x7D8A, + 0x0000, 0x7FFF, + 0xE707, 0x7D8A, + 0xCF04, 0x7641, + 0xB8E3, 0x6A6D, + 0xA57D, 0x5A82, + 0x9592, 0x471C, + 0x89BE, 0x30FB, + 0x8275, 0x18F8, + 0x8000, 0x0000, + 0x8275, 0xE707, + 0x89BE, 0xCF04, + 0x9592, 0xB8E3, + 0xA57D, 0xA57D, + 0xB8E3, 0x9592, + 0xCF04, 0x89BE, + 0xE707, 0x8275 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 64 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_64_q15[96] = { + 0x7FFF, 0x0000, + 0x7F62, 0x0C8B, + 0x7D8A, 0x18F8, + 0x7A7D, 0x2528, + 0x7641, 0x30FB, + 0x70E2, 0x3C56, + 0x6A6D, 0x471C, + 0x62F2, 0x5133, + 0x5A82, 0x5A82, + 0x5133, 0x62F2, + 0x471C, 0x6A6D, + 0x3C56, 0x70E2, + 0x30FB, 0x7641, + 0x2528, 0x7A7D, + 0x18F8, 0x7D8A, + 0x0C8B, 0x7F62, + 0x0000, 0x7FFF, + 0xF374, 0x7F62, + 0xE707, 0x7D8A, + 0xDAD7, 0x7A7D, + 0xCF04, 0x7641, + 0xC3A9, 0x70E2, + 0xB8E3, 0x6A6D, + 0xAECC, 0x62F2, + 0xA57D, 0x5A82, + 0x9D0D, 0x5133, + 0x9592, 0x471C, + 0x8F1D, 0x3C56, + 0x89BE, 0x30FB, + 0x8582, 0x2528, + 0x8275, 0x18F8, + 0x809D, 0x0C8B, + 0x8000, 0x0000, + 0x809D, 0xF374, + 0x8275, 0xE707, + 0x8582, 0xDAD7, + 0x89BE, 0xCF04, + 0x8F1D, 0xC3A9, + 0x9592, 0xB8E3, + 0x9D0D, 0xAECC, + 0xA57D, 0xA57D, + 0xAECC, 0x9D0D, + 0xB8E3, 0x9592, + 0xC3A9, 0x8F1D, + 0xCF04, 0x89BE, + 0xDAD7, 0x8582, + 0xE707, 0x8275, + 0xF374, 0x809D +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 128 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_128_q15[192] = { + 0x7FFF, 0x0000, + 0x7FD8, 0x0647, + 0x7F62, 0x0C8B, + 0x7E9D, 0x12C8, + 0x7D8A, 0x18F8, + 0x7C29, 0x1F19, + 0x7A7D, 0x2528, + 0x7884, 0x2B1F, + 0x7641, 0x30FB, + 0x73B5, 0x36BA, + 0x70E2, 0x3C56, + 0x6DCA, 0x41CE, + 0x6A6D, 0x471C, + 0x66CF, 0x4C3F, + 0x62F2, 0x5133, + 0x5ED7, 0x55F5, + 0x5A82, 0x5A82, + 0x55F5, 0x5ED7, + 0x5133, 0x62F2, + 0x4C3F, 0x66CF, + 0x471C, 0x6A6D, + 0x41CE, 0x6DCA, + 0x3C56, 0x70E2, + 0x36BA, 0x73B5, + 0x30FB, 0x7641, + 0x2B1F, 0x7884, + 0x2528, 0x7A7D, + 0x1F19, 0x7C29, + 0x18F8, 0x7D8A, + 0x12C8, 0x7E9D, + 0x0C8B, 0x7F62, + 0x0647, 0x7FD8, + 0x0000, 0x7FFF, + 0xF9B8, 0x7FD8, + 0xF374, 0x7F62, + 0xED37, 0x7E9D, + 0xE707, 0x7D8A, + 0xE0E6, 0x7C29, + 0xDAD7, 0x7A7D, + 0xD4E0, 0x7884, + 0xCF04, 0x7641, + 0xC945, 0x73B5, + 0xC3A9, 0x70E2, + 0xBE31, 0x6DCA, + 0xB8E3, 0x6A6D, + 0xB3C0, 0x66CF, + 0xAECC, 0x62F2, + 0xAA0A, 0x5ED7, + 0xA57D, 0x5A82, + 0xA128, 0x55F5, + 0x9D0D, 0x5133, + 0x9930, 0x4C3F, + 0x9592, 0x471C, + 0x9235, 0x41CE, + 0x8F1D, 0x3C56, + 0x8C4A, 0x36BA, + 0x89BE, 0x30FB, + 0x877B, 0x2B1F, + 0x8582, 0x2528, + 0x83D6, 0x1F19, + 0x8275, 0x18F8, + 0x8162, 0x12C8, + 0x809D, 0x0C8B, + 0x8027, 0x0647, + 0x8000, 0x0000, + 0x8027, 0xF9B8, + 0x809D, 0xF374, + 0x8162, 0xED37, + 0x8275, 0xE707, + 0x83D6, 0xE0E6, + 0x8582, 0xDAD7, + 0x877B, 0xD4E0, + 0x89BE, 0xCF04, + 0x8C4A, 0xC945, + 0x8F1D, 0xC3A9, + 0x9235, 0xBE31, + 0x9592, 0xB8E3, + 0x9930, 0xB3C0, + 0x9D0D, 0xAECC, + 0xA128, 0xAA0A, + 0xA57D, 0xA57D, + 0xAA0A, 0xA128, + 0xAECC, 0x9D0D, + 0xB3C0, 0x9930, + 0xB8E3, 0x9592, + 0xBE31, 0x9235, + 0xC3A9, 0x8F1D, + 0xC945, 0x8C4A, + 0xCF04, 0x89BE, + 0xD4E0, 0x877B, + 0xDAD7, 0x8582, + 0xE0E6, 0x83D6, + 0xE707, 0x8275, + 0xED37, 0x8162, + 0xF374, 0x809D, + 0xF9B8, 0x8027 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 256 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_256_q15[384] = { + 0x7FFF, 0x0000, + 0x7FF6, 0x0324, + 0x7FD8, 0x0647, + 0x7FA7, 0x096A, + 0x7F62, 0x0C8B, + 0x7F09, 0x0FAB, + 0x7E9D, 0x12C8, + 0x7E1D, 0x15E2, + 0x7D8A, 0x18F8, + 0x7CE3, 0x1C0B, + 0x7C29, 0x1F19, + 0x7B5D, 0x2223, + 0x7A7D, 0x2528, + 0x798A, 0x2826, + 0x7884, 0x2B1F, + 0x776C, 0x2E11, + 0x7641, 0x30FB, + 0x7504, 0x33DE, + 0x73B5, 0x36BA, + 0x7255, 0x398C, + 0x70E2, 0x3C56, + 0x6F5F, 0x3F17, + 0x6DCA, 0x41CE, + 0x6C24, 0x447A, + 0x6A6D, 0x471C, + 0x68A6, 0x49B4, + 0x66CF, 0x4C3F, + 0x64E8, 0x4EBF, + 0x62F2, 0x5133, + 0x60EC, 0x539B, + 0x5ED7, 0x55F5, + 0x5CB4, 0x5842, + 0x5A82, 0x5A82, + 0x5842, 0x5CB4, + 0x55F5, 0x5ED7, + 0x539B, 0x60EC, + 0x5133, 0x62F2, + 0x4EBF, 0x64E8, + 0x4C3F, 0x66CF, + 0x49B4, 0x68A6, + 0x471C, 0x6A6D, + 0x447A, 0x6C24, + 0x41CE, 0x6DCA, + 0x3F17, 0x6F5F, + 0x3C56, 0x70E2, + 0x398C, 0x7255, + 0x36BA, 0x73B5, + 0x33DE, 0x7504, + 0x30FB, 0x7641, + 0x2E11, 0x776C, + 0x2B1F, 0x7884, + 0x2826, 0x798A, + 0x2528, 0x7A7D, + 0x2223, 0x7B5D, + 0x1F19, 0x7C29, + 0x1C0B, 0x7CE3, + 0x18F8, 0x7D8A, + 0x15E2, 0x7E1D, + 0x12C8, 0x7E9D, + 0x0FAB, 0x7F09, + 0x0C8B, 0x7F62, + 0x096A, 0x7FA7, + 0x0647, 0x7FD8, + 0x0324, 0x7FF6, + 0x0000, 0x7FFF, + 0xFCDB, 0x7FF6, + 0xF9B8, 0x7FD8, + 0xF695, 0x7FA7, + 0xF374, 0x7F62, + 0xF054, 0x7F09, + 0xED37, 0x7E9D, + 0xEA1D, 0x7E1D, + 0xE707, 0x7D8A, + 0xE3F4, 0x7CE3, + 0xE0E6, 0x7C29, + 0xDDDC, 0x7B5D, + 0xDAD7, 0x7A7D, + 0xD7D9, 0x798A, + 0xD4E0, 0x7884, + 0xD1EE, 0x776C, + 0xCF04, 0x7641, + 0xCC21, 0x7504, + 0xC945, 0x73B5, + 0xC673, 0x7255, + 0xC3A9, 0x70E2, + 0xC0E8, 0x6F5F, + 0xBE31, 0x6DCA, + 0xBB85, 0x6C24, + 0xB8E3, 0x6A6D, + 0xB64B, 0x68A6, + 0xB3C0, 0x66CF, + 0xB140, 0x64E8, + 0xAECC, 0x62F2, + 0xAC64, 0x60EC, + 0xAA0A, 0x5ED7, + 0xA7BD, 0x5CB4, + 0xA57D, 0x5A82, + 0xA34B, 0x5842, + 0xA128, 0x55F5, + 0x9F13, 0x539B, + 0x9D0D, 0x5133, + 0x9B17, 0x4EBF, + 0x9930, 0x4C3F, + 0x9759, 0x49B4, + 0x9592, 0x471C, + 0x93DB, 0x447A, + 0x9235, 0x41CE, + 0x90A0, 0x3F17, + 0x8F1D, 0x3C56, + 0x8DAA, 0x398C, + 0x8C4A, 0x36BA, + 0x8AFB, 0x33DE, + 0x89BE, 0x30FB, + 0x8893, 0x2E11, + 0x877B, 0x2B1F, + 0x8675, 0x2826, + 0x8582, 0x2528, + 0x84A2, 0x2223, + 0x83D6, 0x1F19, + 0x831C, 0x1C0B, + 0x8275, 0x18F8, + 0x81E2, 0x15E2, + 0x8162, 0x12C8, + 0x80F6, 0x0FAB, + 0x809D, 0x0C8B, + 0x8058, 0x096A, + 0x8027, 0x0647, + 0x8009, 0x0324, + 0x8000, 0x0000, + 0x8009, 0xFCDB, + 0x8027, 0xF9B8, + 0x8058, 0xF695, + 0x809D, 0xF374, + 0x80F6, 0xF054, + 0x8162, 0xED37, + 0x81E2, 0xEA1D, + 0x8275, 0xE707, + 0x831C, 0xE3F4, + 0x83D6, 0xE0E6, + 0x84A2, 0xDDDC, + 0x8582, 0xDAD7, + 0x8675, 0xD7D9, + 0x877B, 0xD4E0, + 0x8893, 0xD1EE, + 0x89BE, 0xCF04, + 0x8AFB, 0xCC21, + 0x8C4A, 0xC945, + 0x8DAA, 0xC673, + 0x8F1D, 0xC3A9, + 0x90A0, 0xC0E8, + 0x9235, 0xBE31, + 0x93DB, 0xBB85, + 0x9592, 0xB8E3, + 0x9759, 0xB64B, + 0x9930, 0xB3C0, + 0x9B17, 0xB140, + 0x9D0D, 0xAECC, + 0x9F13, 0xAC64, + 0xA128, 0xAA0A, + 0xA34B, 0xA7BD, + 0xA57D, 0xA57D, + 0xA7BD, 0xA34B, + 0xAA0A, 0xA128, + 0xAC64, 0x9F13, + 0xAECC, 0x9D0D, + 0xB140, 0x9B17, + 0xB3C0, 0x9930, + 0xB64B, 0x9759, + 0xB8E3, 0x9592, + 0xBB85, 0x93DB, + 0xBE31, 0x9235, + 0xC0E8, 0x90A0, + 0xC3A9, 0x8F1D, + 0xC673, 0x8DAA, + 0xC945, 0x8C4A, + 0xCC21, 0x8AFB, + 0xCF04, 0x89BE, + 0xD1EE, 0x8893, + 0xD4E0, 0x877B, + 0xD7D9, 0x8675, + 0xDAD7, 0x8582, + 0xDDDC, 0x84A2, + 0xE0E6, 0x83D6, + 0xE3F4, 0x831C, + 0xE707, 0x8275, + 0xEA1D, 0x81E2, + 0xED37, 0x8162, + 0xF054, 0x80F6, + 0xF374, 0x809D, + 0xF695, 0x8058, + 0xF9B8, 0x8027, + 0xFCDB, 0x8009 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 512 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_512_q15[768] = { + 0x7FFF, 0x0000, + 0x7FFD, 0x0192, + 0x7FF6, 0x0324, + 0x7FE9, 0x04B6, + 0x7FD8, 0x0647, + 0x7FC2, 0x07D9, + 0x7FA7, 0x096A, + 0x7F87, 0x0AFB, + 0x7F62, 0x0C8B, + 0x7F38, 0x0E1B, + 0x7F09, 0x0FAB, + 0x7ED5, 0x1139, + 0x7E9D, 0x12C8, + 0x7E5F, 0x1455, + 0x7E1D, 0x15E2, + 0x7DD6, 0x176D, + 0x7D8A, 0x18F8, + 0x7D39, 0x1A82, + 0x7CE3, 0x1C0B, + 0x7C89, 0x1D93, + 0x7C29, 0x1F19, + 0x7BC5, 0x209F, + 0x7B5D, 0x2223, + 0x7AEF, 0x23A6, + 0x7A7D, 0x2528, + 0x7A05, 0x26A8, + 0x798A, 0x2826, + 0x7909, 0x29A3, + 0x7884, 0x2B1F, + 0x77FA, 0x2C98, + 0x776C, 0x2E11, + 0x76D9, 0x2F87, + 0x7641, 0x30FB, + 0x75A5, 0x326E, + 0x7504, 0x33DE, + 0x745F, 0x354D, + 0x73B5, 0x36BA, + 0x7307, 0x3824, + 0x7255, 0x398C, + 0x719E, 0x3AF2, + 0x70E2, 0x3C56, + 0x7023, 0x3DB8, + 0x6F5F, 0x3F17, + 0x6E96, 0x4073, + 0x6DCA, 0x41CE, + 0x6CF9, 0x4325, + 0x6C24, 0x447A, + 0x6B4A, 0x45CD, + 0x6A6D, 0x471C, + 0x698C, 0x4869, + 0x68A6, 0x49B4, + 0x67BD, 0x4AFB, + 0x66CF, 0x4C3F, + 0x65DD, 0x4D81, + 0x64E8, 0x4EBF, + 0x63EF, 0x4FFB, + 0x62F2, 0x5133, + 0x61F1, 0x5269, + 0x60EC, 0x539B, + 0x5FE3, 0x54CA, + 0x5ED7, 0x55F5, + 0x5DC7, 0x571D, + 0x5CB4, 0x5842, + 0x5B9D, 0x5964, + 0x5A82, 0x5A82, + 0x5964, 0x5B9D, + 0x5842, 0x5CB4, + 0x571D, 0x5DC7, + 0x55F5, 0x5ED7, + 0x54CA, 0x5FE3, + 0x539B, 0x60EC, + 0x5269, 0x61F1, + 0x5133, 0x62F2, + 0x4FFB, 0x63EF, + 0x4EBF, 0x64E8, + 0x4D81, 0x65DD, + 0x4C3F, 0x66CF, + 0x4AFB, 0x67BD, + 0x49B4, 0x68A6, + 0x4869, 0x698C, + 0x471C, 0x6A6D, + 0x45CD, 0x6B4A, + 0x447A, 0x6C24, + 0x4325, 0x6CF9, + 0x41CE, 0x6DCA, + 0x4073, 0x6E96, + 0x3F17, 0x6F5F, + 0x3DB8, 0x7023, + 0x3C56, 0x70E2, + 0x3AF2, 0x719E, + 0x398C, 0x7255, + 0x3824, 0x7307, + 0x36BA, 0x73B5, + 0x354D, 0x745F, + 0x33DE, 0x7504, + 0x326E, 0x75A5, + 0x30FB, 0x7641, + 0x2F87, 0x76D9, + 0x2E11, 0x776C, + 0x2C98, 0x77FA, + 0x2B1F, 0x7884, + 0x29A3, 0x7909, + 0x2826, 0x798A, + 0x26A8, 0x7A05, + 0x2528, 0x7A7D, + 0x23A6, 0x7AEF, + 0x2223, 0x7B5D, + 0x209F, 0x7BC5, + 0x1F19, 0x7C29, + 0x1D93, 0x7C89, + 0x1C0B, 0x7CE3, + 0x1A82, 0x7D39, + 0x18F8, 0x7D8A, + 0x176D, 0x7DD6, + 0x15E2, 0x7E1D, + 0x1455, 0x7E5F, + 0x12C8, 0x7E9D, + 0x1139, 0x7ED5, + 0x0FAB, 0x7F09, + 0x0E1B, 0x7F38, + 0x0C8B, 0x7F62, + 0x0AFB, 0x7F87, + 0x096A, 0x7FA7, + 0x07D9, 0x7FC2, + 0x0647, 0x7FD8, + 0x04B6, 0x7FE9, + 0x0324, 0x7FF6, + 0x0192, 0x7FFD, + 0x0000, 0x7FFF, + 0xFE6D, 0x7FFD, + 0xFCDB, 0x7FF6, + 0xFB49, 0x7FE9, + 0xF9B8, 0x7FD8, + 0xF826, 0x7FC2, + 0xF695, 0x7FA7, + 0xF504, 0x7F87, + 0xF374, 0x7F62, + 0xF1E4, 0x7F38, + 0xF054, 0x7F09, + 0xEEC6, 0x7ED5, + 0xED37, 0x7E9D, + 0xEBAA, 0x7E5F, + 0xEA1D, 0x7E1D, + 0xE892, 0x7DD6, + 0xE707, 0x7D8A, + 0xE57D, 0x7D39, + 0xE3F4, 0x7CE3, + 0xE26C, 0x7C89, + 0xE0E6, 0x7C29, + 0xDF60, 0x7BC5, + 0xDDDC, 0x7B5D, + 0xDC59, 0x7AEF, + 0xDAD7, 0x7A7D, + 0xD957, 0x7A05, + 0xD7D9, 0x798A, + 0xD65C, 0x7909, + 0xD4E0, 0x7884, + 0xD367, 0x77FA, + 0xD1EE, 0x776C, + 0xD078, 0x76D9, + 0xCF04, 0x7641, + 0xCD91, 0x75A5, + 0xCC21, 0x7504, + 0xCAB2, 0x745F, + 0xC945, 0x73B5, + 0xC7DB, 0x7307, + 0xC673, 0x7255, + 0xC50D, 0x719E, + 0xC3A9, 0x70E2, + 0xC247, 0x7023, + 0xC0E8, 0x6F5F, + 0xBF8C, 0x6E96, + 0xBE31, 0x6DCA, + 0xBCDA, 0x6CF9, + 0xBB85, 0x6C24, + 0xBA32, 0x6B4A, + 0xB8E3, 0x6A6D, + 0xB796, 0x698C, + 0xB64B, 0x68A6, + 0xB504, 0x67BD, + 0xB3C0, 0x66CF, + 0xB27E, 0x65DD, + 0xB140, 0x64E8, + 0xB004, 0x63EF, + 0xAECC, 0x62F2, + 0xAD96, 0x61F1, + 0xAC64, 0x60EC, + 0xAB35, 0x5FE3, + 0xAA0A, 0x5ED7, + 0xA8E2, 0x5DC7, + 0xA7BD, 0x5CB4, + 0xA69B, 0x5B9D, + 0xA57D, 0x5A82, + 0xA462, 0x5964, + 0xA34B, 0x5842, + 0xA238, 0x571D, + 0xA128, 0x55F5, + 0xA01C, 0x54CA, + 0x9F13, 0x539B, + 0x9E0E, 0x5269, + 0x9D0D, 0x5133, + 0x9C10, 0x4FFB, + 0x9B17, 0x4EBF, + 0x9A22, 0x4D81, + 0x9930, 0x4C3F, + 0x9842, 0x4AFB, + 0x9759, 0x49B4, + 0x9673, 0x4869, + 0x9592, 0x471C, + 0x94B5, 0x45CD, + 0x93DB, 0x447A, + 0x9306, 0x4325, + 0x9235, 0x41CE, + 0x9169, 0x4073, + 0x90A0, 0x3F17, + 0x8FDC, 0x3DB8, + 0x8F1D, 0x3C56, + 0x8E61, 0x3AF2, + 0x8DAA, 0x398C, + 0x8CF8, 0x3824, + 0x8C4A, 0x36BA, + 0x8BA0, 0x354D, + 0x8AFB, 0x33DE, + 0x8A5A, 0x326E, + 0x89BE, 0x30FB, + 0x8926, 0x2F87, + 0x8893, 0x2E11, + 0x8805, 0x2C98, + 0x877B, 0x2B1F, + 0x86F6, 0x29A3, + 0x8675, 0x2826, + 0x85FA, 0x26A8, + 0x8582, 0x2528, + 0x8510, 0x23A6, + 0x84A2, 0x2223, + 0x843A, 0x209F, + 0x83D6, 0x1F19, + 0x8376, 0x1D93, + 0x831C, 0x1C0B, + 0x82C6, 0x1A82, + 0x8275, 0x18F8, + 0x8229, 0x176D, + 0x81E2, 0x15E2, + 0x81A0, 0x1455, + 0x8162, 0x12C8, + 0x812A, 0x1139, + 0x80F6, 0x0FAB, + 0x80C7, 0x0E1B, + 0x809D, 0x0C8B, + 0x8078, 0x0AFB, + 0x8058, 0x096A, + 0x803D, 0x07D9, + 0x8027, 0x0647, + 0x8016, 0x04B6, + 0x8009, 0x0324, + 0x8002, 0x0192, + 0x8000, 0x0000, + 0x8002, 0xFE6D, + 0x8009, 0xFCDB, + 0x8016, 0xFB49, + 0x8027, 0xF9B8, + 0x803D, 0xF826, + 0x8058, 0xF695, + 0x8078, 0xF504, + 0x809D, 0xF374, + 0x80C7, 0xF1E4, + 0x80F6, 0xF054, + 0x812A, 0xEEC6, + 0x8162, 0xED37, + 0x81A0, 0xEBAA, + 0x81E2, 0xEA1D, + 0x8229, 0xE892, + 0x8275, 0xE707, + 0x82C6, 0xE57D, + 0x831C, 0xE3F4, + 0x8376, 0xE26C, + 0x83D6, 0xE0E6, + 0x843A, 0xDF60, + 0x84A2, 0xDDDC, + 0x8510, 0xDC59, + 0x8582, 0xDAD7, + 0x85FA, 0xD957, + 0x8675, 0xD7D9, + 0x86F6, 0xD65C, + 0x877B, 0xD4E0, + 0x8805, 0xD367, + 0x8893, 0xD1EE, + 0x8926, 0xD078, + 0x89BE, 0xCF04, + 0x8A5A, 0xCD91, + 0x8AFB, 0xCC21, + 0x8BA0, 0xCAB2, + 0x8C4A, 0xC945, + 0x8CF8, 0xC7DB, + 0x8DAA, 0xC673, + 0x8E61, 0xC50D, + 0x8F1D, 0xC3A9, + 0x8FDC, 0xC247, + 0x90A0, 0xC0E8, + 0x9169, 0xBF8C, + 0x9235, 0xBE31, + 0x9306, 0xBCDA, + 0x93DB, 0xBB85, + 0x94B5, 0xBA32, + 0x9592, 0xB8E3, + 0x9673, 0xB796, + 0x9759, 0xB64B, + 0x9842, 0xB504, + 0x9930, 0xB3C0, + 0x9A22, 0xB27E, + 0x9B17, 0xB140, + 0x9C10, 0xB004, + 0x9D0D, 0xAECC, + 0x9E0E, 0xAD96, + 0x9F13, 0xAC64, + 0xA01C, 0xAB35, + 0xA128, 0xAA0A, + 0xA238, 0xA8E2, + 0xA34B, 0xA7BD, + 0xA462, 0xA69B, + 0xA57D, 0xA57D, + 0xA69B, 0xA462, + 0xA7BD, 0xA34B, + 0xA8E2, 0xA238, + 0xAA0A, 0xA128, + 0xAB35, 0xA01C, + 0xAC64, 0x9F13, + 0xAD96, 0x9E0E, + 0xAECC, 0x9D0D, + 0xB004, 0x9C10, + 0xB140, 0x9B17, + 0xB27E, 0x9A22, + 0xB3C0, 0x9930, + 0xB504, 0x9842, + 0xB64B, 0x9759, + 0xB796, 0x9673, + 0xB8E3, 0x9592, + 0xBA32, 0x94B5, + 0xBB85, 0x93DB, + 0xBCDA, 0x9306, + 0xBE31, 0x9235, + 0xBF8C, 0x9169, + 0xC0E8, 0x90A0, + 0xC247, 0x8FDC, + 0xC3A9, 0x8F1D, + 0xC50D, 0x8E61, + 0xC673, 0x8DAA, + 0xC7DB, 0x8CF8, + 0xC945, 0x8C4A, + 0xCAB2, 0x8BA0, + 0xCC21, 0x8AFB, + 0xCD91, 0x8A5A, + 0xCF04, 0x89BE, + 0xD078, 0x8926, + 0xD1EE, 0x8893, + 0xD367, 0x8805, + 0xD4E0, 0x877B, + 0xD65C, 0x86F6, + 0xD7D9, 0x8675, + 0xD957, 0x85FA, + 0xDAD7, 0x8582, + 0xDC59, 0x8510, + 0xDDDC, 0x84A2, + 0xDF60, 0x843A, + 0xE0E6, 0x83D6, + 0xE26C, 0x8376, + 0xE3F4, 0x831C, + 0xE57D, 0x82C6, + 0xE707, 0x8275, + 0xE892, 0x8229, + 0xEA1D, 0x81E2, + 0xEBAA, 0x81A0, + 0xED37, 0x8162, + 0xEEC6, 0x812A, + 0xF054, 0x80F6, + 0xF1E4, 0x80C7, + 0xF374, 0x809D, + 0xF504, 0x8078, + 0xF695, 0x8058, + 0xF826, 0x803D, + 0xF9B8, 0x8027, + 0xFB49, 0x8016, + 0xFCDB, 0x8009, + 0xFE6D, 0x8002 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 1024 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_1024_q15[1536] = { + 0x7FFF, 0x0000, + 0x7FFF, 0x00C9, + 0x7FFD, 0x0192, + 0x7FFA, 0x025B, + 0x7FF6, 0x0324, + 0x7FF0, 0x03ED, + 0x7FE9, 0x04B6, + 0x7FE1, 0x057F, + 0x7FD8, 0x0647, + 0x7FCE, 0x0710, + 0x7FC2, 0x07D9, + 0x7FB5, 0x08A2, + 0x7FA7, 0x096A, + 0x7F97, 0x0A33, + 0x7F87, 0x0AFB, + 0x7F75, 0x0BC3, + 0x7F62, 0x0C8B, + 0x7F4D, 0x0D53, + 0x7F38, 0x0E1B, + 0x7F21, 0x0EE3, + 0x7F09, 0x0FAB, + 0x7EF0, 0x1072, + 0x7ED5, 0x1139, + 0x7EBA, 0x1201, + 0x7E9D, 0x12C8, + 0x7E7F, 0x138E, + 0x7E5F, 0x1455, + 0x7E3F, 0x151B, + 0x7E1D, 0x15E2, + 0x7DFA, 0x16A8, + 0x7DD6, 0x176D, + 0x7DB0, 0x1833, + 0x7D8A, 0x18F8, + 0x7D62, 0x19BD, + 0x7D39, 0x1A82, + 0x7D0F, 0x1B47, + 0x7CE3, 0x1C0B, + 0x7CB7, 0x1CCF, + 0x7C89, 0x1D93, + 0x7C5A, 0x1E56, + 0x7C29, 0x1F19, + 0x7BF8, 0x1FDC, + 0x7BC5, 0x209F, + 0x7B92, 0x2161, + 0x7B5D, 0x2223, + 0x7B26, 0x22E5, + 0x7AEF, 0x23A6, + 0x7AB6, 0x2467, + 0x7A7D, 0x2528, + 0x7A42, 0x25E8, + 0x7A05, 0x26A8, + 0x79C8, 0x2767, + 0x798A, 0x2826, + 0x794A, 0x28E5, + 0x7909, 0x29A3, + 0x78C7, 0x2A61, + 0x7884, 0x2B1F, + 0x7840, 0x2BDC, + 0x77FA, 0x2C98, + 0x77B4, 0x2D55, + 0x776C, 0x2E11, + 0x7723, 0x2ECC, + 0x76D9, 0x2F87, + 0x768E, 0x3041, + 0x7641, 0x30FB, + 0x75F4, 0x31B5, + 0x75A5, 0x326E, + 0x7555, 0x3326, + 0x7504, 0x33DE, + 0x74B2, 0x3496, + 0x745F, 0x354D, + 0x740B, 0x3604, + 0x73B5, 0x36BA, + 0x735F, 0x376F, + 0x7307, 0x3824, + 0x72AF, 0x38D8, + 0x7255, 0x398C, + 0x71FA, 0x3A40, + 0x719E, 0x3AF2, + 0x7141, 0x3BA5, + 0x70E2, 0x3C56, + 0x7083, 0x3D07, + 0x7023, 0x3DB8, + 0x6FC1, 0x3E68, + 0x6F5F, 0x3F17, + 0x6EFB, 0x3FC5, + 0x6E96, 0x4073, + 0x6E30, 0x4121, + 0x6DCA, 0x41CE, + 0x6D62, 0x427A, + 0x6CF9, 0x4325, + 0x6C8F, 0x43D0, + 0x6C24, 0x447A, + 0x6BB8, 0x4524, + 0x6B4A, 0x45CD, + 0x6ADC, 0x4675, + 0x6A6D, 0x471C, + 0x69FD, 0x47C3, + 0x698C, 0x4869, + 0x6919, 0x490F, + 0x68A6, 0x49B4, + 0x6832, 0x4A58, + 0x67BD, 0x4AFB, + 0x6746, 0x4B9E, + 0x66CF, 0x4C3F, + 0x6657, 0x4CE1, + 0x65DD, 0x4D81, + 0x6563, 0x4E21, + 0x64E8, 0x4EBF, + 0x646C, 0x4F5E, + 0x63EF, 0x4FFB, + 0x6371, 0x5097, + 0x62F2, 0x5133, + 0x6271, 0x51CE, + 0x61F1, 0x5269, + 0x616F, 0x5302, + 0x60EC, 0x539B, + 0x6068, 0x5433, + 0x5FE3, 0x54CA, + 0x5F5E, 0x5560, + 0x5ED7, 0x55F5, + 0x5E50, 0x568A, + 0x5DC7, 0x571D, + 0x5D3E, 0x57B0, + 0x5CB4, 0x5842, + 0x5C29, 0x58D4, + 0x5B9D, 0x5964, + 0x5B10, 0x59F3, + 0x5A82, 0x5A82, + 0x59F3, 0x5B10, + 0x5964, 0x5B9D, + 0x58D4, 0x5C29, + 0x5842, 0x5CB4, + 0x57B0, 0x5D3E, + 0x571D, 0x5DC7, + 0x568A, 0x5E50, + 0x55F5, 0x5ED7, + 0x5560, 0x5F5E, + 0x54CA, 0x5FE3, + 0x5433, 0x6068, + 0x539B, 0x60EC, + 0x5302, 0x616F, + 0x5269, 0x61F1, + 0x51CE, 0x6271, + 0x5133, 0x62F2, + 0x5097, 0x6371, + 0x4FFB, 0x63EF, + 0x4F5E, 0x646C, + 0x4EBF, 0x64E8, + 0x4E21, 0x6563, + 0x4D81, 0x65DD, + 0x4CE1, 0x6657, + 0x4C3F, 0x66CF, + 0x4B9E, 0x6746, + 0x4AFB, 0x67BD, + 0x4A58, 0x6832, + 0x49B4, 0x68A6, + 0x490F, 0x6919, + 0x4869, 0x698C, + 0x47C3, 0x69FD, + 0x471C, 0x6A6D, + 0x4675, 0x6ADC, + 0x45CD, 0x6B4A, + 0x4524, 0x6BB8, + 0x447A, 0x6C24, + 0x43D0, 0x6C8F, + 0x4325, 0x6CF9, + 0x427A, 0x6D62, + 0x41CE, 0x6DCA, + 0x4121, 0x6E30, + 0x4073, 0x6E96, + 0x3FC5, 0x6EFB, + 0x3F17, 0x6F5F, + 0x3E68, 0x6FC1, + 0x3DB8, 0x7023, + 0x3D07, 0x7083, + 0x3C56, 0x70E2, + 0x3BA5, 0x7141, + 0x3AF2, 0x719E, + 0x3A40, 0x71FA, + 0x398C, 0x7255, + 0x38D8, 0x72AF, + 0x3824, 0x7307, + 0x376F, 0x735F, + 0x36BA, 0x73B5, + 0x3604, 0x740B, + 0x354D, 0x745F, + 0x3496, 0x74B2, + 0x33DE, 0x7504, + 0x3326, 0x7555, + 0x326E, 0x75A5, + 0x31B5, 0x75F4, + 0x30FB, 0x7641, + 0x3041, 0x768E, + 0x2F87, 0x76D9, + 0x2ECC, 0x7723, + 0x2E11, 0x776C, + 0x2D55, 0x77B4, + 0x2C98, 0x77FA, + 0x2BDC, 0x7840, + 0x2B1F, 0x7884, + 0x2A61, 0x78C7, + 0x29A3, 0x7909, + 0x28E5, 0x794A, + 0x2826, 0x798A, + 0x2767, 0x79C8, + 0x26A8, 0x7A05, + 0x25E8, 0x7A42, + 0x2528, 0x7A7D, + 0x2467, 0x7AB6, + 0x23A6, 0x7AEF, + 0x22E5, 0x7B26, + 0x2223, 0x7B5D, + 0x2161, 0x7B92, + 0x209F, 0x7BC5, + 0x1FDC, 0x7BF8, + 0x1F19, 0x7C29, + 0x1E56, 0x7C5A, + 0x1D93, 0x7C89, + 0x1CCF, 0x7CB7, + 0x1C0B, 0x7CE3, + 0x1B47, 0x7D0F, + 0x1A82, 0x7D39, + 0x19BD, 0x7D62, + 0x18F8, 0x7D8A, + 0x1833, 0x7DB0, + 0x176D, 0x7DD6, + 0x16A8, 0x7DFA, + 0x15E2, 0x7E1D, + 0x151B, 0x7E3F, + 0x1455, 0x7E5F, + 0x138E, 0x7E7F, + 0x12C8, 0x7E9D, + 0x1201, 0x7EBA, + 0x1139, 0x7ED5, + 0x1072, 0x7EF0, + 0x0FAB, 0x7F09, + 0x0EE3, 0x7F21, + 0x0E1B, 0x7F38, + 0x0D53, 0x7F4D, + 0x0C8B, 0x7F62, + 0x0BC3, 0x7F75, + 0x0AFB, 0x7F87, + 0x0A33, 0x7F97, + 0x096A, 0x7FA7, + 0x08A2, 0x7FB5, + 0x07D9, 0x7FC2, + 0x0710, 0x7FCE, + 0x0647, 0x7FD8, + 0x057F, 0x7FE1, + 0x04B6, 0x7FE9, + 0x03ED, 0x7FF0, + 0x0324, 0x7FF6, + 0x025B, 0x7FFA, + 0x0192, 0x7FFD, + 0x00C9, 0x7FFF, + 0x0000, 0x7FFF, + 0xFF36, 0x7FFF, + 0xFE6D, 0x7FFD, + 0xFDA4, 0x7FFA, + 0xFCDB, 0x7FF6, + 0xFC12, 0x7FF0, + 0xFB49, 0x7FE9, + 0xFA80, 0x7FE1, + 0xF9B8, 0x7FD8, + 0xF8EF, 0x7FCE, + 0xF826, 0x7FC2, + 0xF75D, 0x7FB5, + 0xF695, 0x7FA7, + 0xF5CC, 0x7F97, + 0xF504, 0x7F87, + 0xF43C, 0x7F75, + 0xF374, 0x7F62, + 0xF2AC, 0x7F4D, + 0xF1E4, 0x7F38, + 0xF11C, 0x7F21, + 0xF054, 0x7F09, + 0xEF8D, 0x7EF0, + 0xEEC6, 0x7ED5, + 0xEDFE, 0x7EBA, + 0xED37, 0x7E9D, + 0xEC71, 0x7E7F, + 0xEBAA, 0x7E5F, + 0xEAE4, 0x7E3F, + 0xEA1D, 0x7E1D, + 0xE957, 0x7DFA, + 0xE892, 0x7DD6, + 0xE7CC, 0x7DB0, + 0xE707, 0x7D8A, + 0xE642, 0x7D62, + 0xE57D, 0x7D39, + 0xE4B8, 0x7D0F, + 0xE3F4, 0x7CE3, + 0xE330, 0x7CB7, + 0xE26C, 0x7C89, + 0xE1A9, 0x7C5A, + 0xE0E6, 0x7C29, + 0xE023, 0x7BF8, + 0xDF60, 0x7BC5, + 0xDE9E, 0x7B92, + 0xDDDC, 0x7B5D, + 0xDD1A, 0x7B26, + 0xDC59, 0x7AEF, + 0xDB98, 0x7AB6, + 0xDAD7, 0x7A7D, + 0xDA17, 0x7A42, + 0xD957, 0x7A05, + 0xD898, 0x79C8, + 0xD7D9, 0x798A, + 0xD71A, 0x794A, + 0xD65C, 0x7909, + 0xD59E, 0x78C7, + 0xD4E0, 0x7884, + 0xD423, 0x7840, + 0xD367, 0x77FA, + 0xD2AA, 0x77B4, + 0xD1EE, 0x776C, + 0xD133, 0x7723, + 0xD078, 0x76D9, + 0xCFBE, 0x768E, + 0xCF04, 0x7641, + 0xCE4A, 0x75F4, + 0xCD91, 0x75A5, + 0xCCD9, 0x7555, + 0xCC21, 0x7504, + 0xCB69, 0x74B2, + 0xCAB2, 0x745F, + 0xC9FB, 0x740B, + 0xC945, 0x73B5, + 0xC890, 0x735F, + 0xC7DB, 0x7307, + 0xC727, 0x72AF, + 0xC673, 0x7255, + 0xC5BF, 0x71FA, + 0xC50D, 0x719E, + 0xC45A, 0x7141, + 0xC3A9, 0x70E2, + 0xC2F8, 0x7083, + 0xC247, 0x7023, + 0xC197, 0x6FC1, + 0xC0E8, 0x6F5F, + 0xC03A, 0x6EFB, + 0xBF8C, 0x6E96, + 0xBEDE, 0x6E30, + 0xBE31, 0x6DCA, + 0xBD85, 0x6D62, + 0xBCDA, 0x6CF9, + 0xBC2F, 0x6C8F, + 0xBB85, 0x6C24, + 0xBADB, 0x6BB8, + 0xBA32, 0x6B4A, + 0xB98A, 0x6ADC, + 0xB8E3, 0x6A6D, + 0xB83C, 0x69FD, + 0xB796, 0x698C, + 0xB6F0, 0x6919, + 0xB64B, 0x68A6, + 0xB5A7, 0x6832, + 0xB504, 0x67BD, + 0xB461, 0x6746, + 0xB3C0, 0x66CF, + 0xB31E, 0x6657, + 0xB27E, 0x65DD, + 0xB1DE, 0x6563, + 0xB140, 0x64E8, + 0xB0A1, 0x646C, + 0xB004, 0x63EF, + 0xAF68, 0x6371, + 0xAECC, 0x62F2, + 0xAE31, 0x6271, + 0xAD96, 0x61F1, + 0xACFD, 0x616F, + 0xAC64, 0x60EC, + 0xABCC, 0x6068, + 0xAB35, 0x5FE3, + 0xAA9F, 0x5F5E, + 0xAA0A, 0x5ED7, + 0xA975, 0x5E50, + 0xA8E2, 0x5DC7, + 0xA84F, 0x5D3E, + 0xA7BD, 0x5CB4, + 0xA72B, 0x5C29, + 0xA69B, 0x5B9D, + 0xA60C, 0x5B10, + 0xA57D, 0x5A82, + 0xA4EF, 0x59F3, + 0xA462, 0x5964, + 0xA3D6, 0x58D4, + 0xA34B, 0x5842, + 0xA2C1, 0x57B0, + 0xA238, 0x571D, + 0xA1AF, 0x568A, + 0xA128, 0x55F5, + 0xA0A1, 0x5560, + 0xA01C, 0x54CA, + 0x9F97, 0x5433, + 0x9F13, 0x539B, + 0x9E90, 0x5302, + 0x9E0E, 0x5269, + 0x9D8E, 0x51CE, + 0x9D0D, 0x5133, + 0x9C8E, 0x5097, + 0x9C10, 0x4FFB, + 0x9B93, 0x4F5E, + 0x9B17, 0x4EBF, + 0x9A9C, 0x4E21, + 0x9A22, 0x4D81, + 0x99A8, 0x4CE1, + 0x9930, 0x4C3F, + 0x98B9, 0x4B9E, + 0x9842, 0x4AFB, + 0x97CD, 0x4A58, + 0x9759, 0x49B4, + 0x96E6, 0x490F, + 0x9673, 0x4869, + 0x9602, 0x47C3, + 0x9592, 0x471C, + 0x9523, 0x4675, + 0x94B5, 0x45CD, + 0x9447, 0x4524, + 0x93DB, 0x447A, + 0x9370, 0x43D0, + 0x9306, 0x4325, + 0x929D, 0x427A, + 0x9235, 0x41CE, + 0x91CF, 0x4121, + 0x9169, 0x4073, + 0x9104, 0x3FC5, + 0x90A0, 0x3F17, + 0x903E, 0x3E68, + 0x8FDC, 0x3DB8, + 0x8F7C, 0x3D07, + 0x8F1D, 0x3C56, + 0x8EBE, 0x3BA5, + 0x8E61, 0x3AF2, + 0x8E05, 0x3A40, + 0x8DAA, 0x398C, + 0x8D50, 0x38D8, + 0x8CF8, 0x3824, + 0x8CA0, 0x376F, + 0x8C4A, 0x36BA, + 0x8BF4, 0x3604, + 0x8BA0, 0x354D, + 0x8B4D, 0x3496, + 0x8AFB, 0x33DE, + 0x8AAA, 0x3326, + 0x8A5A, 0x326E, + 0x8A0B, 0x31B5, + 0x89BE, 0x30FB, + 0x8971, 0x3041, + 0x8926, 0x2F87, + 0x88DC, 0x2ECC, + 0x8893, 0x2E11, + 0x884B, 0x2D55, + 0x8805, 0x2C98, + 0x87BF, 0x2BDC, + 0x877B, 0x2B1F, + 0x8738, 0x2A61, + 0x86F6, 0x29A3, + 0x86B5, 0x28E5, + 0x8675, 0x2826, + 0x8637, 0x2767, + 0x85FA, 0x26A8, + 0x85BD, 0x25E8, + 0x8582, 0x2528, + 0x8549, 0x2467, + 0x8510, 0x23A6, + 0x84D9, 0x22E5, + 0x84A2, 0x2223, + 0x846D, 0x2161, + 0x843A, 0x209F, + 0x8407, 0x1FDC, + 0x83D6, 0x1F19, + 0x83A5, 0x1E56, + 0x8376, 0x1D93, + 0x8348, 0x1CCF, + 0x831C, 0x1C0B, + 0x82F0, 0x1B47, + 0x82C6, 0x1A82, + 0x829D, 0x19BD, + 0x8275, 0x18F8, + 0x824F, 0x1833, + 0x8229, 0x176D, + 0x8205, 0x16A8, + 0x81E2, 0x15E2, + 0x81C0, 0x151B, + 0x81A0, 0x1455, + 0x8180, 0x138E, + 0x8162, 0x12C8, + 0x8145, 0x1201, + 0x812A, 0x1139, + 0x810F, 0x1072, + 0x80F6, 0x0FAB, + 0x80DE, 0x0EE3, + 0x80C7, 0x0E1B, + 0x80B2, 0x0D53, + 0x809D, 0x0C8B, + 0x808A, 0x0BC3, + 0x8078, 0x0AFB, + 0x8068, 0x0A33, + 0x8058, 0x096A, + 0x804A, 0x08A2, + 0x803D, 0x07D9, + 0x8031, 0x0710, + 0x8027, 0x0647, + 0x801E, 0x057F, + 0x8016, 0x04B6, + 0x800F, 0x03ED, + 0x8009, 0x0324, + 0x8005, 0x025B, + 0x8002, 0x0192, + 0x8000, 0x00C9, + 0x8000, 0x0000, + 0x8000, 0xFF36, + 0x8002, 0xFE6D, + 0x8005, 0xFDA4, + 0x8009, 0xFCDB, + 0x800F, 0xFC12, + 0x8016, 0xFB49, + 0x801E, 0xFA80, + 0x8027, 0xF9B8, + 0x8031, 0xF8EF, + 0x803D, 0xF826, + 0x804A, 0xF75D, + 0x8058, 0xF695, + 0x8068, 0xF5CC, + 0x8078, 0xF504, + 0x808A, 0xF43C, + 0x809D, 0xF374, + 0x80B2, 0xF2AC, + 0x80C7, 0xF1E4, + 0x80DE, 0xF11C, + 0x80F6, 0xF054, + 0x810F, 0xEF8D, + 0x812A, 0xEEC6, + 0x8145, 0xEDFE, + 0x8162, 0xED37, + 0x8180, 0xEC71, + 0x81A0, 0xEBAA, + 0x81C0, 0xEAE4, + 0x81E2, 0xEA1D, + 0x8205, 0xE957, + 0x8229, 0xE892, + 0x824F, 0xE7CC, + 0x8275, 0xE707, + 0x829D, 0xE642, + 0x82C6, 0xE57D, + 0x82F0, 0xE4B8, + 0x831C, 0xE3F4, + 0x8348, 0xE330, + 0x8376, 0xE26C, + 0x83A5, 0xE1A9, + 0x83D6, 0xE0E6, + 0x8407, 0xE023, + 0x843A, 0xDF60, + 0x846D, 0xDE9E, + 0x84A2, 0xDDDC, + 0x84D9, 0xDD1A, + 0x8510, 0xDC59, + 0x8549, 0xDB98, + 0x8582, 0xDAD7, + 0x85BD, 0xDA17, + 0x85FA, 0xD957, + 0x8637, 0xD898, + 0x8675, 0xD7D9, + 0x86B5, 0xD71A, + 0x86F6, 0xD65C, + 0x8738, 0xD59E, + 0x877B, 0xD4E0, + 0x87BF, 0xD423, + 0x8805, 0xD367, + 0x884B, 0xD2AA, + 0x8893, 0xD1EE, + 0x88DC, 0xD133, + 0x8926, 0xD078, + 0x8971, 0xCFBE, + 0x89BE, 0xCF04, + 0x8A0B, 0xCE4A, + 0x8A5A, 0xCD91, + 0x8AAA, 0xCCD9, + 0x8AFB, 0xCC21, + 0x8B4D, 0xCB69, + 0x8BA0, 0xCAB2, + 0x8BF4, 0xC9FB, + 0x8C4A, 0xC945, + 0x8CA0, 0xC890, + 0x8CF8, 0xC7DB, + 0x8D50, 0xC727, + 0x8DAA, 0xC673, + 0x8E05, 0xC5BF, + 0x8E61, 0xC50D, + 0x8EBE, 0xC45A, + 0x8F1D, 0xC3A9, + 0x8F7C, 0xC2F8, + 0x8FDC, 0xC247, + 0x903E, 0xC197, + 0x90A0, 0xC0E8, + 0x9104, 0xC03A, + 0x9169, 0xBF8C, + 0x91CF, 0xBEDE, + 0x9235, 0xBE31, + 0x929D, 0xBD85, + 0x9306, 0xBCDA, + 0x9370, 0xBC2F, + 0x93DB, 0xBB85, + 0x9447, 0xBADB, + 0x94B5, 0xBA32, + 0x9523, 0xB98A, + 0x9592, 0xB8E3, + 0x9602, 0xB83C, + 0x9673, 0xB796, + 0x96E6, 0xB6F0, + 0x9759, 0xB64B, + 0x97CD, 0xB5A7, + 0x9842, 0xB504, + 0x98B9, 0xB461, + 0x9930, 0xB3C0, + 0x99A8, 0xB31E, + 0x9A22, 0xB27E, + 0x9A9C, 0xB1DE, + 0x9B17, 0xB140, + 0x9B93, 0xB0A1, + 0x9C10, 0xB004, + 0x9C8E, 0xAF68, + 0x9D0D, 0xAECC, + 0x9D8E, 0xAE31, + 0x9E0E, 0xAD96, + 0x9E90, 0xACFD, + 0x9F13, 0xAC64, + 0x9F97, 0xABCC, + 0xA01C, 0xAB35, + 0xA0A1, 0xAA9F, + 0xA128, 0xAA0A, + 0xA1AF, 0xA975, + 0xA238, 0xA8E2, + 0xA2C1, 0xA84F, + 0xA34B, 0xA7BD, + 0xA3D6, 0xA72B, + 0xA462, 0xA69B, + 0xA4EF, 0xA60C, + 0xA57D, 0xA57D, + 0xA60C, 0xA4EF, + 0xA69B, 0xA462, + 0xA72B, 0xA3D6, + 0xA7BD, 0xA34B, + 0xA84F, 0xA2C1, + 0xA8E2, 0xA238, + 0xA975, 0xA1AF, + 0xAA0A, 0xA128, + 0xAA9F, 0xA0A1, + 0xAB35, 0xA01C, + 0xABCC, 0x9F97, + 0xAC64, 0x9F13, + 0xACFD, 0x9E90, + 0xAD96, 0x9E0E, + 0xAE31, 0x9D8E, + 0xAECC, 0x9D0D, + 0xAF68, 0x9C8E, + 0xB004, 0x9C10, + 0xB0A1, 0x9B93, + 0xB140, 0x9B17, + 0xB1DE, 0x9A9C, + 0xB27E, 0x9A22, + 0xB31E, 0x99A8, + 0xB3C0, 0x9930, + 0xB461, 0x98B9, + 0xB504, 0x9842, + 0xB5A7, 0x97CD, + 0xB64B, 0x9759, + 0xB6F0, 0x96E6, + 0xB796, 0x9673, + 0xB83C, 0x9602, + 0xB8E3, 0x9592, + 0xB98A, 0x9523, + 0xBA32, 0x94B5, + 0xBADB, 0x9447, + 0xBB85, 0x93DB, + 0xBC2F, 0x9370, + 0xBCDA, 0x9306, + 0xBD85, 0x929D, + 0xBE31, 0x9235, + 0xBEDE, 0x91CF, + 0xBF8C, 0x9169, + 0xC03A, 0x9104, + 0xC0E8, 0x90A0, + 0xC197, 0x903E, + 0xC247, 0x8FDC, + 0xC2F8, 0x8F7C, + 0xC3A9, 0x8F1D, + 0xC45A, 0x8EBE, + 0xC50D, 0x8E61, + 0xC5BF, 0x8E05, + 0xC673, 0x8DAA, + 0xC727, 0x8D50, + 0xC7DB, 0x8CF8, + 0xC890, 0x8CA0, + 0xC945, 0x8C4A, + 0xC9FB, 0x8BF4, + 0xCAB2, 0x8BA0, + 0xCB69, 0x8B4D, + 0xCC21, 0x8AFB, + 0xCCD9, 0x8AAA, + 0xCD91, 0x8A5A, + 0xCE4A, 0x8A0B, + 0xCF04, 0x89BE, + 0xCFBE, 0x8971, + 0xD078, 0x8926, + 0xD133, 0x88DC, + 0xD1EE, 0x8893, + 0xD2AA, 0x884B, + 0xD367, 0x8805, + 0xD423, 0x87BF, + 0xD4E0, 0x877B, + 0xD59E, 0x8738, + 0xD65C, 0x86F6, + 0xD71A, 0x86B5, + 0xD7D9, 0x8675, + 0xD898, 0x8637, + 0xD957, 0x85FA, + 0xDA17, 0x85BD, + 0xDAD7, 0x8582, + 0xDB98, 0x8549, + 0xDC59, 0x8510, + 0xDD1A, 0x84D9, + 0xDDDC, 0x84A2, + 0xDE9E, 0x846D, + 0xDF60, 0x843A, + 0xE023, 0x8407, + 0xE0E6, 0x83D6, + 0xE1A9, 0x83A5, + 0xE26C, 0x8376, + 0xE330, 0x8348, + 0xE3F4, 0x831C, + 0xE4B8, 0x82F0, + 0xE57D, 0x82C6, + 0xE642, 0x829D, + 0xE707, 0x8275, + 0xE7CC, 0x824F, + 0xE892, 0x8229, + 0xE957, 0x8205, + 0xEA1D, 0x81E2, + 0xEAE4, 0x81C0, + 0xEBAA, 0x81A0, + 0xEC71, 0x8180, + 0xED37, 0x8162, + 0xEDFE, 0x8145, + 0xEEC6, 0x812A, + 0xEF8D, 0x810F, + 0xF054, 0x80F6, + 0xF11C, 0x80DE, + 0xF1E4, 0x80C7, + 0xF2AC, 0x80B2, + 0xF374, 0x809D, + 0xF43C, 0x808A, + 0xF504, 0x8078, + 0xF5CC, 0x8068, + 0xF695, 0x8058, + 0xF75D, 0x804A, + 0xF826, 0x803D, + 0xF8EF, 0x8031, + 0xF9B8, 0x8027, + 0xFA80, 0x801E, + 0xFB49, 0x8016, + 0xFC12, 0x800F, + 0xFCDB, 0x8009, + 0xFDA4, 0x8005, + 0xFE6D, 0x8002, + 0xFF36, 0x8000 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 2048 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_2048_q15[3072] = { + 0x7FFF, 0x0000, + 0x7FFF, 0x0064, + 0x7FFF, 0x00C9, + 0x7FFE, 0x012D, + 0x7FFD, 0x0192, + 0x7FFC, 0x01F6, + 0x7FFA, 0x025B, + 0x7FF8, 0x02BF, + 0x7FF6, 0x0324, + 0x7FF3, 0x0388, + 0x7FF0, 0x03ED, + 0x7FED, 0x0451, + 0x7FE9, 0x04B6, + 0x7FE5, 0x051A, + 0x7FE1, 0x057F, + 0x7FDD, 0x05E3, + 0x7FD8, 0x0647, + 0x7FD3, 0x06AC, + 0x7FCE, 0x0710, + 0x7FC8, 0x0775, + 0x7FC2, 0x07D9, + 0x7FBC, 0x083D, + 0x7FB5, 0x08A2, + 0x7FAE, 0x0906, + 0x7FA7, 0x096A, + 0x7F9F, 0x09CE, + 0x7F97, 0x0A33, + 0x7F8F, 0x0A97, + 0x7F87, 0x0AFB, + 0x7F7E, 0x0B5F, + 0x7F75, 0x0BC3, + 0x7F6B, 0x0C27, + 0x7F62, 0x0C8B, + 0x7F58, 0x0CEF, + 0x7F4D, 0x0D53, + 0x7F43, 0x0DB7, + 0x7F38, 0x0E1B, + 0x7F2D, 0x0E7F, + 0x7F21, 0x0EE3, + 0x7F15, 0x0F47, + 0x7F09, 0x0FAB, + 0x7EFD, 0x100E, + 0x7EF0, 0x1072, + 0x7EE3, 0x10D6, + 0x7ED5, 0x1139, + 0x7EC8, 0x119D, + 0x7EBA, 0x1201, + 0x7EAB, 0x1264, + 0x7E9D, 0x12C8, + 0x7E8E, 0x132B, + 0x7E7F, 0x138E, + 0x7E6F, 0x13F2, + 0x7E5F, 0x1455, + 0x7E4F, 0x14B8, + 0x7E3F, 0x151B, + 0x7E2E, 0x157F, + 0x7E1D, 0x15E2, + 0x7E0C, 0x1645, + 0x7DFA, 0x16A8, + 0x7DE8, 0x170A, + 0x7DD6, 0x176D, + 0x7DC3, 0x17D0, + 0x7DB0, 0x1833, + 0x7D9D, 0x1896, + 0x7D8A, 0x18F8, + 0x7D76, 0x195B, + 0x7D62, 0x19BD, + 0x7D4E, 0x1A20, + 0x7D39, 0x1A82, + 0x7D24, 0x1AE4, + 0x7D0F, 0x1B47, + 0x7CF9, 0x1BA9, + 0x7CE3, 0x1C0B, + 0x7CCD, 0x1C6D, + 0x7CB7, 0x1CCF, + 0x7CA0, 0x1D31, + 0x7C89, 0x1D93, + 0x7C71, 0x1DF5, + 0x7C5A, 0x1E56, + 0x7C42, 0x1EB8, + 0x7C29, 0x1F19, + 0x7C11, 0x1F7B, + 0x7BF8, 0x1FDC, + 0x7BDF, 0x203E, + 0x7BC5, 0x209F, + 0x7BAC, 0x2100, + 0x7B92, 0x2161, + 0x7B77, 0x21C2, + 0x7B5D, 0x2223, + 0x7B42, 0x2284, + 0x7B26, 0x22E5, + 0x7B0B, 0x2345, + 0x7AEF, 0x23A6, + 0x7AD3, 0x2407, + 0x7AB6, 0x2467, + 0x7A9A, 0x24C7, + 0x7A7D, 0x2528, + 0x7A5F, 0x2588, + 0x7A42, 0x25E8, + 0x7A24, 0x2648, + 0x7A05, 0x26A8, + 0x79E7, 0x2707, + 0x79C8, 0x2767, + 0x79A9, 0x27C7, + 0x798A, 0x2826, + 0x796A, 0x2886, + 0x794A, 0x28E5, + 0x792A, 0x2944, + 0x7909, 0x29A3, + 0x78E8, 0x2A02, + 0x78C7, 0x2A61, + 0x78A6, 0x2AC0, + 0x7884, 0x2B1F, + 0x7862, 0x2B7D, + 0x7840, 0x2BDC, + 0x781D, 0x2C3A, + 0x77FA, 0x2C98, + 0x77D7, 0x2CF7, + 0x77B4, 0x2D55, + 0x7790, 0x2DB3, + 0x776C, 0x2E11, + 0x7747, 0x2E6E, + 0x7723, 0x2ECC, + 0x76FE, 0x2F29, + 0x76D9, 0x2F87, + 0x76B3, 0x2FE4, + 0x768E, 0x3041, + 0x7668, 0x309E, + 0x7641, 0x30FB, + 0x761B, 0x3158, + 0x75F4, 0x31B5, + 0x75CC, 0x3211, + 0x75A5, 0x326E, + 0x757D, 0x32CA, + 0x7555, 0x3326, + 0x752D, 0x3382, + 0x7504, 0x33DE, + 0x74DB, 0x343A, + 0x74B2, 0x3496, + 0x7489, 0x34F2, + 0x745F, 0x354D, + 0x7435, 0x35A8, + 0x740B, 0x3604, + 0x73E0, 0x365F, + 0x73B5, 0x36BA, + 0x738A, 0x3714, + 0x735F, 0x376F, + 0x7333, 0x37CA, + 0x7307, 0x3824, + 0x72DB, 0x387E, + 0x72AF, 0x38D8, + 0x7282, 0x3932, + 0x7255, 0x398C, + 0x7227, 0x39E6, + 0x71FA, 0x3A40, + 0x71CC, 0x3A99, + 0x719E, 0x3AF2, + 0x716F, 0x3B4C, + 0x7141, 0x3BA5, + 0x7112, 0x3BFD, + 0x70E2, 0x3C56, + 0x70B3, 0x3CAF, + 0x7083, 0x3D07, + 0x7053, 0x3D60, + 0x7023, 0x3DB8, + 0x6FF2, 0x3E10, + 0x6FC1, 0x3E68, + 0x6F90, 0x3EBF, + 0x6F5F, 0x3F17, + 0x6F2D, 0x3F6E, + 0x6EFB, 0x3FC5, + 0x6EC9, 0x401D, + 0x6E96, 0x4073, + 0x6E63, 0x40CA, + 0x6E30, 0x4121, + 0x6DFD, 0x4177, + 0x6DCA, 0x41CE, + 0x6D96, 0x4224, + 0x6D62, 0x427A, + 0x6D2D, 0x42D0, + 0x6CF9, 0x4325, + 0x6CC4, 0x437B, + 0x6C8F, 0x43D0, + 0x6C59, 0x4425, + 0x6C24, 0x447A, + 0x6BEE, 0x44CF, + 0x6BB8, 0x4524, + 0x6B81, 0x4578, + 0x6B4A, 0x45CD, + 0x6B13, 0x4621, + 0x6ADC, 0x4675, + 0x6AA5, 0x46C9, + 0x6A6D, 0x471C, + 0x6A35, 0x4770, + 0x69FD, 0x47C3, + 0x69C4, 0x4816, + 0x698C, 0x4869, + 0x6953, 0x48BC, + 0x6919, 0x490F, + 0x68E0, 0x4961, + 0x68A6, 0x49B4, + 0x686C, 0x4A06, + 0x6832, 0x4A58, + 0x67F7, 0x4AA9, + 0x67BD, 0x4AFB, + 0x6782, 0x4B4C, + 0x6746, 0x4B9E, + 0x670B, 0x4BEF, + 0x66CF, 0x4C3F, + 0x6693, 0x4C90, + 0x6657, 0x4CE1, + 0x661A, 0x4D31, + 0x65DD, 0x4D81, + 0x65A0, 0x4DD1, + 0x6563, 0x4E21, + 0x6526, 0x4E70, + 0x64E8, 0x4EBF, + 0x64AA, 0x4F0F, + 0x646C, 0x4F5E, + 0x642D, 0x4FAC, + 0x63EF, 0x4FFB, + 0x63B0, 0x5049, + 0x6371, 0x5097, + 0x6331, 0x50E5, + 0x62F2, 0x5133, + 0x62B2, 0x5181, + 0x6271, 0x51CE, + 0x6231, 0x521C, + 0x61F1, 0x5269, + 0x61B0, 0x52B5, + 0x616F, 0x5302, + 0x612D, 0x534E, + 0x60EC, 0x539B, + 0x60AA, 0x53E7, + 0x6068, 0x5433, + 0x6026, 0x547E, + 0x5FE3, 0x54CA, + 0x5FA0, 0x5515, + 0x5F5E, 0x5560, + 0x5F1A, 0x55AB, + 0x5ED7, 0x55F5, + 0x5E93, 0x5640, + 0x5E50, 0x568A, + 0x5E0B, 0x56D4, + 0x5DC7, 0x571D, + 0x5D83, 0x5767, + 0x5D3E, 0x57B0, + 0x5CF9, 0x57F9, + 0x5CB4, 0x5842, + 0x5C6E, 0x588B, + 0x5C29, 0x58D4, + 0x5BE3, 0x591C, + 0x5B9D, 0x5964, + 0x5B56, 0x59AC, + 0x5B10, 0x59F3, + 0x5AC9, 0x5A3B, + 0x5A82, 0x5A82, + 0x5A3B, 0x5AC9, + 0x59F3, 0x5B10, + 0x59AC, 0x5B56, + 0x5964, 0x5B9D, + 0x591C, 0x5BE3, + 0x58D4, 0x5C29, + 0x588B, 0x5C6E, + 0x5842, 0x5CB4, + 0x57F9, 0x5CF9, + 0x57B0, 0x5D3E, + 0x5767, 0x5D83, + 0x571D, 0x5DC7, + 0x56D4, 0x5E0B, + 0x568A, 0x5E50, + 0x5640, 0x5E93, + 0x55F5, 0x5ED7, + 0x55AB, 0x5F1A, + 0x5560, 0x5F5E, + 0x5515, 0x5FA0, + 0x54CA, 0x5FE3, + 0x547E, 0x6026, + 0x5433, 0x6068, + 0x53E7, 0x60AA, + 0x539B, 0x60EC, + 0x534E, 0x612D, + 0x5302, 0x616F, + 0x52B5, 0x61B0, + 0x5269, 0x61F1, + 0x521C, 0x6231, + 0x51CE, 0x6271, + 0x5181, 0x62B2, + 0x5133, 0x62F2, + 0x50E5, 0x6331, + 0x5097, 0x6371, + 0x5049, 0x63B0, + 0x4FFB, 0x63EF, + 0x4FAC, 0x642D, + 0x4F5E, 0x646C, + 0x4F0F, 0x64AA, + 0x4EBF, 0x64E8, + 0x4E70, 0x6526, + 0x4E21, 0x6563, + 0x4DD1, 0x65A0, + 0x4D81, 0x65DD, + 0x4D31, 0x661A, + 0x4CE1, 0x6657, + 0x4C90, 0x6693, + 0x4C3F, 0x66CF, + 0x4BEF, 0x670B, + 0x4B9E, 0x6746, + 0x4B4C, 0x6782, + 0x4AFB, 0x67BD, + 0x4AA9, 0x67F7, + 0x4A58, 0x6832, + 0x4A06, 0x686C, + 0x49B4, 0x68A6, + 0x4961, 0x68E0, + 0x490F, 0x6919, + 0x48BC, 0x6953, + 0x4869, 0x698C, + 0x4816, 0x69C4, + 0x47C3, 0x69FD, + 0x4770, 0x6A35, + 0x471C, 0x6A6D, + 0x46C9, 0x6AA5, + 0x4675, 0x6ADC, + 0x4621, 0x6B13, + 0x45CD, 0x6B4A, + 0x4578, 0x6B81, + 0x4524, 0x6BB8, + 0x44CF, 0x6BEE, + 0x447A, 0x6C24, + 0x4425, 0x6C59, + 0x43D0, 0x6C8F, + 0x437B, 0x6CC4, + 0x4325, 0x6CF9, + 0x42D0, 0x6D2D, + 0x427A, 0x6D62, + 0x4224, 0x6D96, + 0x41CE, 0x6DCA, + 0x4177, 0x6DFD, + 0x4121, 0x6E30, + 0x40CA, 0x6E63, + 0x4073, 0x6E96, + 0x401D, 0x6EC9, + 0x3FC5, 0x6EFB, + 0x3F6E, 0x6F2D, + 0x3F17, 0x6F5F, + 0x3EBF, 0x6F90, + 0x3E68, 0x6FC1, + 0x3E10, 0x6FF2, + 0x3DB8, 0x7023, + 0x3D60, 0x7053, + 0x3D07, 0x7083, + 0x3CAF, 0x70B3, + 0x3C56, 0x70E2, + 0x3BFD, 0x7112, + 0x3BA5, 0x7141, + 0x3B4C, 0x716F, + 0x3AF2, 0x719E, + 0x3A99, 0x71CC, + 0x3A40, 0x71FA, + 0x39E6, 0x7227, + 0x398C, 0x7255, + 0x3932, 0x7282, + 0x38D8, 0x72AF, + 0x387E, 0x72DB, + 0x3824, 0x7307, + 0x37CA, 0x7333, + 0x376F, 0x735F, + 0x3714, 0x738A, + 0x36BA, 0x73B5, + 0x365F, 0x73E0, + 0x3604, 0x740B, + 0x35A8, 0x7435, + 0x354D, 0x745F, + 0x34F2, 0x7489, + 0x3496, 0x74B2, + 0x343A, 0x74DB, + 0x33DE, 0x7504, + 0x3382, 0x752D, + 0x3326, 0x7555, + 0x32CA, 0x757D, + 0x326E, 0x75A5, + 0x3211, 0x75CC, + 0x31B5, 0x75F4, + 0x3158, 0x761B, + 0x30FB, 0x7641, + 0x309E, 0x7668, + 0x3041, 0x768E, + 0x2FE4, 0x76B3, + 0x2F87, 0x76D9, + 0x2F29, 0x76FE, + 0x2ECC, 0x7723, + 0x2E6E, 0x7747, + 0x2E11, 0x776C, + 0x2DB3, 0x7790, + 0x2D55, 0x77B4, + 0x2CF7, 0x77D7, + 0x2C98, 0x77FA, + 0x2C3A, 0x781D, + 0x2BDC, 0x7840, + 0x2B7D, 0x7862, + 0x2B1F, 0x7884, + 0x2AC0, 0x78A6, + 0x2A61, 0x78C7, + 0x2A02, 0x78E8, + 0x29A3, 0x7909, + 0x2944, 0x792A, + 0x28E5, 0x794A, + 0x2886, 0x796A, + 0x2826, 0x798A, + 0x27C7, 0x79A9, + 0x2767, 0x79C8, + 0x2707, 0x79E7, + 0x26A8, 0x7A05, + 0x2648, 0x7A24, + 0x25E8, 0x7A42, + 0x2588, 0x7A5F, + 0x2528, 0x7A7D, + 0x24C7, 0x7A9A, + 0x2467, 0x7AB6, + 0x2407, 0x7AD3, + 0x23A6, 0x7AEF, + 0x2345, 0x7B0B, + 0x22E5, 0x7B26, + 0x2284, 0x7B42, + 0x2223, 0x7B5D, + 0x21C2, 0x7B77, + 0x2161, 0x7B92, + 0x2100, 0x7BAC, + 0x209F, 0x7BC5, + 0x203E, 0x7BDF, + 0x1FDC, 0x7BF8, + 0x1F7B, 0x7C11, + 0x1F19, 0x7C29, + 0x1EB8, 0x7C42, + 0x1E56, 0x7C5A, + 0x1DF5, 0x7C71, + 0x1D93, 0x7C89, + 0x1D31, 0x7CA0, + 0x1CCF, 0x7CB7, + 0x1C6D, 0x7CCD, + 0x1C0B, 0x7CE3, + 0x1BA9, 0x7CF9, + 0x1B47, 0x7D0F, + 0x1AE4, 0x7D24, + 0x1A82, 0x7D39, + 0x1A20, 0x7D4E, + 0x19BD, 0x7D62, + 0x195B, 0x7D76, + 0x18F8, 0x7D8A, + 0x1896, 0x7D9D, + 0x1833, 0x7DB0, + 0x17D0, 0x7DC3, + 0x176D, 0x7DD6, + 0x170A, 0x7DE8, + 0x16A8, 0x7DFA, + 0x1645, 0x7E0C, + 0x15E2, 0x7E1D, + 0x157F, 0x7E2E, + 0x151B, 0x7E3F, + 0x14B8, 0x7E4F, + 0x1455, 0x7E5F, + 0x13F2, 0x7E6F, + 0x138E, 0x7E7F, + 0x132B, 0x7E8E, + 0x12C8, 0x7E9D, + 0x1264, 0x7EAB, + 0x1201, 0x7EBA, + 0x119D, 0x7EC8, + 0x1139, 0x7ED5, + 0x10D6, 0x7EE3, + 0x1072, 0x7EF0, + 0x100E, 0x7EFD, + 0x0FAB, 0x7F09, + 0x0F47, 0x7F15, + 0x0EE3, 0x7F21, + 0x0E7F, 0x7F2D, + 0x0E1B, 0x7F38, + 0x0DB7, 0x7F43, + 0x0D53, 0x7F4D, + 0x0CEF, 0x7F58, + 0x0C8B, 0x7F62, + 0x0C27, 0x7F6B, + 0x0BC3, 0x7F75, + 0x0B5F, 0x7F7E, + 0x0AFB, 0x7F87, + 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0x8027, 0xF9B8, + 0x802C, 0xF953, + 0x8031, 0xF8EF, + 0x8037, 0xF88A, + 0x803D, 0xF826, + 0x8043, 0xF7C2, + 0x804A, 0xF75D, + 0x8051, 0xF6F9, + 0x8058, 0xF695, + 0x8060, 0xF631, + 0x8068, 0xF5CC, + 0x8070, 0xF568, + 0x8078, 0xF504, + 0x8081, 0xF4A0, + 0x808A, 0xF43C, + 0x8094, 0xF3D8, + 0x809D, 0xF374, + 0x80A7, 0xF310, + 0x80B2, 0xF2AC, + 0x80BC, 0xF248, + 0x80C7, 0xF1E4, + 0x80D2, 0xF180, + 0x80DE, 0xF11C, + 0x80EA, 0xF0B8, + 0x80F6, 0xF054, + 0x8102, 0xEFF1, + 0x810F, 0xEF8D, + 0x811C, 0xEF29, + 0x812A, 0xEEC6, + 0x8137, 0xEE62, + 0x8145, 0xEDFE, + 0x8154, 0xED9B, + 0x8162, 0xED37, + 0x8171, 0xECD4, + 0x8180, 0xEC71, + 0x8190, 0xEC0D, + 0x81A0, 0xEBAA, + 0x81B0, 0xEB47, + 0x81C0, 0xEAE4, + 0x81D1, 0xEA80, + 0x81E2, 0xEA1D, + 0x81F3, 0xE9BA, + 0x8205, 0xE957, + 0x8217, 0xE8F5, + 0x8229, 0xE892, + 0x823C, 0xE82F, + 0x824F, 0xE7CC, + 0x8262, 0xE769, + 0x8275, 0xE707, + 0x8289, 0xE6A4, + 0x829D, 0xE642, + 0x82B1, 0xE5DF, + 0x82C6, 0xE57D, + 0x82DB, 0xE51B, + 0x82F0, 0xE4B8, + 0x8306, 0xE456, + 0x831C, 0xE3F4, + 0x8332, 0xE392, + 0x8348, 0xE330, + 0x835F, 0xE2CE, + 0x8376, 0xE26C, + 0x838E, 0xE20A, + 0x83A5, 0xE1A9, + 0x83BD, 0xE147, + 0x83D6, 0xE0E6, + 0x83EE, 0xE084, + 0x8407, 0xE023, + 0x8420, 0xDFC1, + 0x843A, 0xDF60, + 0x8453, 0xDEFF, + 0x846D, 0xDE9E, + 0x8488, 0xDE3D, + 0x84A2, 0xDDDC, + 0x84BD, 0xDD7B, + 0x84D9, 0xDD1A, + 0x84F4, 0xDCBA, + 0x8510, 0xDC59, + 0x852C, 0xDBF8, + 0x8549, 0xDB98, + 0x8565, 0xDB38, + 0x8582, 0xDAD7, + 0x85A0, 0xDA77, + 0x85BD, 0xDA17, + 0x85DB, 0xD9B7, + 0x85FA, 0xD957, + 0x8618, 0xD8F8, + 0x8637, 0xD898, + 0x8656, 0xD838, + 0x8675, 0xD7D9, + 0x8695, 0xD779, + 0x86B5, 0xD71A, + 0x86D5, 0xD6BB, + 0x86F6, 0xD65C, + 0x8717, 0xD5FD, + 0x8738, 0xD59E, + 0x8759, 0xD53F, + 0x877B, 0xD4E0, + 0x879D, 0xD482, + 0x87BF, 0xD423, + 0x87E2, 0xD3C5, + 0x8805, 0xD367, + 0x8828, 0xD308, + 0x884B, 0xD2AA, + 0x886F, 0xD24C, + 0x8893, 0xD1EE, + 0x88B8, 0xD191, + 0x88DC, 0xD133, + 0x8901, 0xD0D6, + 0x8926, 0xD078, + 0x894C, 0xD01B, + 0x8971, 0xCFBE, + 0x8997, 0xCF61, + 0x89BE, 0xCF04, + 0x89E4, 0xCEA7, + 0x8A0B, 0xCE4A, + 0x8A33, 0xCDEE, + 0x8A5A, 0xCD91, + 0x8A82, 0xCD35, + 0x8AAA, 0xCCD9, + 0x8AD2, 0xCC7D, + 0x8AFB, 0xCC21, + 0x8B24, 0xCBC5, + 0x8B4D, 0xCB69, + 0x8B76, 0xCB0D, + 0x8BA0, 0xCAB2, + 0x8BCA, 0xCA57, + 0x8BF4, 0xC9FB, + 0x8C1F, 0xC9A0, + 0x8C4A, 0xC945, + 0x8C75, 0xC8EB, + 0x8CA0, 0xC890, + 0x8CCC, 0xC835, + 0x8CF8, 0xC7DB, + 0x8D24, 0xC781, + 0x8D50, 0xC727, + 0x8D7D, 0xC6CD, + 0x8DAA, 0xC673, + 0x8DD8, 0xC619, + 0x8E05, 0xC5BF, + 0x8E33, 0xC566, + 0x8E61, 0xC50D, + 0x8E90, 0xC4B3, + 0x8EBE, 0xC45A, + 0x8EED, 0xC402, + 0x8F1D, 0xC3A9, + 0x8F4C, 0xC350, + 0x8F7C, 0xC2F8, + 0x8FAC, 0xC29F, + 0x8FDC, 0xC247, + 0x900D, 0xC1EF, + 0x903E, 0xC197, + 0x906F, 0xC140, + 0x90A0, 0xC0E8, + 0x90D2, 0xC091, + 0x9104, 0xC03A, + 0x9136, 0xBFE2, + 0x9169, 0xBF8C, + 0x919C, 0xBF35, + 0x91CF, 0xBEDE, + 0x9202, 0xBE88, + 0x9235, 0xBE31, + 0x9269, 0xBDDB, + 0x929D, 0xBD85, + 0x92D2, 0xBD2F, + 0x9306, 0xBCDA, + 0x933B, 0xBC84, + 0x9370, 0xBC2F, + 0x93A6, 0xBBDA, + 0x93DB, 0xBB85, + 0x9411, 0xBB30, + 0x9447, 0xBADB, + 0x947E, 0xBA87, + 0x94B5, 0xBA32, + 0x94EC, 0xB9DE, + 0x9523, 0xB98A, + 0x955A, 0xB936, + 0x9592, 0xB8E3, + 0x95CA, 0xB88F, + 0x9602, 0xB83C, + 0x963B, 0xB7E9, + 0x9673, 0xB796, + 0x96AC, 0xB743, + 0x96E6, 0xB6F0, + 0x971F, 0xB69E, + 0x9759, 0xB64B, + 0x9793, 0xB5F9, + 0x97CD, 0xB5A7, + 0x9808, 0xB556, + 0x9842, 0xB504, + 0x987D, 0xB4B3, + 0x98B9, 0xB461, + 0x98F4, 0xB410, + 0x9930, 0xB3C0, + 0x996C, 0xB36F, + 0x99A8, 0xB31E, + 0x99E5, 0xB2CE, + 0x9A22, 0xB27E, + 0x9A5F, 0xB22E, + 0x9A9C, 0xB1DE, + 0x9AD9, 0xB18F, + 0x9B17, 0xB140, + 0x9B55, 0xB0F0, + 0x9B93, 0xB0A1, + 0x9BD2, 0xB053, + 0x9C10, 0xB004, + 0x9C4F, 0xAFB6, + 0x9C8E, 0xAF68, + 0x9CCE, 0xAF1A, + 0x9D0D, 0xAECC, + 0x9D4D, 0xAE7E, + 0x9D8E, 0xAE31, + 0x9DCE, 0xADE3, + 0x9E0E, 0xAD96, + 0x9E4F, 0xAD4A, + 0x9E90, 0xACFD, + 0x9ED2, 0xACB1, + 0x9F13, 0xAC64, + 0x9F55, 0xAC18, + 0x9F97, 0xABCC, + 0x9FD9, 0xAB81, + 0xA01C, 0xAB35, + 0xA05F, 0xAAEA, + 0xA0A1, 0xAA9F, + 0xA0E5, 0xAA54, + 0xA128, 0xAA0A, + 0xA16C, 0xA9BF, + 0xA1AF, 0xA975, + 0xA1F4, 0xA92B, + 0xA238, 0xA8E2, + 0xA27C, 0xA898, + 0xA2C1, 0xA84F, + 0xA306, 0xA806, + 0xA34B, 0xA7BD, + 0xA391, 0xA774, + 0xA3D6, 0xA72B, + 0xA41C, 0xA6E3, + 0xA462, 0xA69B, + 0xA4A9, 0xA653, + 0xA4EF, 0xA60C, + 0xA536, 0xA5C4, + 0xA57D, 0xA57D, + 0xA5C4, 0xA536, + 0xA60C, 0xA4EF, + 0xA653, 0xA4A9, + 0xA69B, 0xA462, + 0xA6E3, 0xA41C, + 0xA72B, 0xA3D6, + 0xA774, 0xA391, + 0xA7BD, 0xA34B, + 0xA806, 0xA306, + 0xA84F, 0xA2C1, + 0xA898, 0xA27C, + 0xA8E2, 0xA238, + 0xA92B, 0xA1F4, + 0xA975, 0xA1AF, + 0xA9BF, 0xA16C, + 0xAA0A, 0xA128, + 0xAA54, 0xA0E5, + 0xAA9F, 0xA0A1, + 0xAAEA, 0xA05F, + 0xAB35, 0xA01C, + 0xAB81, 0x9FD9, + 0xABCC, 0x9F97, + 0xAC18, 0x9F55, + 0xAC64, 0x9F13, + 0xACB1, 0x9ED2, + 0xACFD, 0x9E90, + 0xAD4A, 0x9E4F, + 0xAD96, 0x9E0E, + 0xADE3, 0x9DCE, + 0xAE31, 0x9D8E, + 0xAE7E, 0x9D4D, + 0xAECC, 0x9D0D, + 0xAF1A, 0x9CCE, + 0xAF68, 0x9C8E, + 0xAFB6, 0x9C4F, + 0xB004, 0x9C10, + 0xB053, 0x9BD2, + 0xB0A1, 0x9B93, + 0xB0F0, 0x9B55, + 0xB140, 0x9B17, + 0xB18F, 0x9AD9, + 0xB1DE, 0x9A9C, + 0xB22E, 0x9A5F, + 0xB27E, 0x9A22, + 0xB2CE, 0x99E5, + 0xB31E, 0x99A8, + 0xB36F, 0x996C, + 0xB3C0, 0x9930, + 0xB410, 0x98F4, + 0xB461, 0x98B9, + 0xB4B3, 0x987D, + 0xB504, 0x9842, + 0xB556, 0x9808, + 0xB5A7, 0x97CD, + 0xB5F9, 0x9793, + 0xB64B, 0x9759, + 0xB69E, 0x971F, + 0xB6F0, 0x96E6, + 0xB743, 0x96AC, + 0xB796, 0x9673, + 0xB7E9, 0x963B, + 0xB83C, 0x9602, + 0xB88F, 0x95CA, + 0xB8E3, 0x9592, + 0xB936, 0x955A, + 0xB98A, 0x9523, + 0xB9DE, 0x94EC, + 0xBA32, 0x94B5, + 0xBA87, 0x947E, + 0xBADB, 0x9447, + 0xBB30, 0x9411, + 0xBB85, 0x93DB, + 0xBBDA, 0x93A6, + 0xBC2F, 0x9370, + 0xBC84, 0x933B, + 0xBCDA, 0x9306, + 0xBD2F, 0x92D2, + 0xBD85, 0x929D, + 0xBDDB, 0x9269, + 0xBE31, 0x9235, + 0xBE88, 0x9202, + 0xBEDE, 0x91CF, + 0xBF35, 0x919C, + 0xBF8C, 0x9169, + 0xBFE2, 0x9136, + 0xC03A, 0x9104, + 0xC091, 0x90D2, + 0xC0E8, 0x90A0, + 0xC140, 0x906F, + 0xC197, 0x903E, + 0xC1EF, 0x900D, + 0xC247, 0x8FDC, + 0xC29F, 0x8FAC, + 0xC2F8, 0x8F7C, + 0xC350, 0x8F4C, + 0xC3A9, 0x8F1D, + 0xC402, 0x8EED, + 0xC45A, 0x8EBE, + 0xC4B3, 0x8E90, + 0xC50D, 0x8E61, + 0xC566, 0x8E33, + 0xC5BF, 0x8E05, + 0xC619, 0x8DD8, + 0xC673, 0x8DAA, + 0xC6CD, 0x8D7D, + 0xC727, 0x8D50, + 0xC781, 0x8D24, + 0xC7DB, 0x8CF8, + 0xC835, 0x8CCC, + 0xC890, 0x8CA0, + 0xC8EB, 0x8C75, + 0xC945, 0x8C4A, + 0xC9A0, 0x8C1F, + 0xC9FB, 0x8BF4, + 0xCA57, 0x8BCA, + 0xCAB2, 0x8BA0, + 0xCB0D, 0x8B76, + 0xCB69, 0x8B4D, + 0xCBC5, 0x8B24, + 0xCC21, 0x8AFB, + 0xCC7D, 0x8AD2, + 0xCCD9, 0x8AAA, + 0xCD35, 0x8A82, + 0xCD91, 0x8A5A, + 0xCDEE, 0x8A33, + 0xCE4A, 0x8A0B, + 0xCEA7, 0x89E4, + 0xCF04, 0x89BE, + 0xCF61, 0x8997, + 0xCFBE, 0x8971, + 0xD01B, 0x894C, + 0xD078, 0x8926, + 0xD0D6, 0x8901, + 0xD133, 0x88DC, + 0xD191, 0x88B8, + 0xD1EE, 0x8893, + 0xD24C, 0x886F, + 0xD2AA, 0x884B, + 0xD308, 0x8828, + 0xD367, 0x8805, + 0xD3C5, 0x87E2, + 0xD423, 0x87BF, + 0xD482, 0x879D, + 0xD4E0, 0x877B, + 0xD53F, 0x8759, + 0xD59E, 0x8738, + 0xD5FD, 0x8717, + 0xD65C, 0x86F6, + 0xD6BB, 0x86D5, + 0xD71A, 0x86B5, + 0xD779, 0x8695, + 0xD7D9, 0x8675, + 0xD838, 0x8656, + 0xD898, 0x8637, + 0xD8F8, 0x8618, + 0xD957, 0x85FA, + 0xD9B7, 0x85DB, + 0xDA17, 0x85BD, + 0xDA77, 0x85A0, + 0xDAD7, 0x8582, + 0xDB38, 0x8565, + 0xDB98, 0x8549, + 0xDBF8, 0x852C, + 0xDC59, 0x8510, + 0xDCBA, 0x84F4, + 0xDD1A, 0x84D9, + 0xDD7B, 0x84BD, + 0xDDDC, 0x84A2, + 0xDE3D, 0x8488, + 0xDE9E, 0x846D, + 0xDEFF, 0x8453, + 0xDF60, 0x843A, + 0xDFC1, 0x8420, + 0xE023, 0x8407, + 0xE084, 0x83EE, + 0xE0E6, 0x83D6, + 0xE147, 0x83BD, + 0xE1A9, 0x83A5, + 0xE20A, 0x838E, + 0xE26C, 0x8376, + 0xE2CE, 0x835F, + 0xE330, 0x8348, + 0xE392, 0x8332, + 0xE3F4, 0x831C, + 0xE456, 0x8306, + 0xE4B8, 0x82F0, + 0xE51B, 0x82DB, + 0xE57D, 0x82C6, + 0xE5DF, 0x82B1, + 0xE642, 0x829D, + 0xE6A4, 0x8289, + 0xE707, 0x8275, + 0xE769, 0x8262, + 0xE7CC, 0x824F, + 0xE82F, 0x823C, + 0xE892, 0x8229, + 0xE8F5, 0x8217, + 0xE957, 0x8205, + 0xE9BA, 0x81F3, + 0xEA1D, 0x81E2, + 0xEA80, 0x81D1, + 0xEAE4, 0x81C0, + 0xEB47, 0x81B0, + 0xEBAA, 0x81A0, + 0xEC0D, 0x8190, + 0xEC71, 0x8180, + 0xECD4, 0x8171, + 0xED37, 0x8162, + 0xED9B, 0x8154, + 0xEDFE, 0x8145, + 0xEE62, 0x8137, + 0xEEC6, 0x812A, + 0xEF29, 0x811C, + 0xEF8D, 0x810F, + 0xEFF1, 0x8102, + 0xF054, 0x80F6, + 0xF0B8, 0x80EA, + 0xF11C, 0x80DE, + 0xF180, 0x80D2, + 0xF1E4, 0x80C7, + 0xF248, 0x80BC, + 0xF2AC, 0x80B2, + 0xF310, 0x80A7, + 0xF374, 0x809D, + 0xF3D8, 0x8094, + 0xF43C, 0x808A, + 0xF4A0, 0x8081, + 0xF504, 0x8078, + 0xF568, 0x8070, + 0xF5CC, 0x8068, + 0xF631, 0x8060, + 0xF695, 0x8058, + 0xF6F9, 0x8051, + 0xF75D, 0x804A, + 0xF7C2, 0x8043, + 0xF826, 0x803D, + 0xF88A, 0x8037, + 0xF8EF, 0x8031, + 0xF953, 0x802C, + 0xF9B8, 0x8027, + 0xFA1C, 0x8022, + 0xFA80, 0x801E, + 0xFAE5, 0x801A, + 0xFB49, 0x8016, + 0xFBAE, 0x8012, + 0xFC12, 0x800F, + 0xFC77, 0x800C, + 0xFCDB, 0x8009, + 0xFD40, 0x8007, + 0xFDA4, 0x8005, + 0xFE09, 0x8003, + 0xFE6D, 0x8002, + 0xFED2, 0x8001, + 0xFF36, 0x8000, + 0xFF9B, 0x8000 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* 
for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* }
+* \par +* where N = 4096 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_4096_q15[6144] = +{ + 0x7FFF, 0x0000, + 0x7FFF, 0x0032, + 0x7FFF, 0x0064, + 0x7FFF, 0x0096, + 0x7FFF, 0x00C9, + 0x7FFF, 0x00FB, + 0x7FFE, 0x012D, + 0x7FFE, 0x015F, + 0x7FFD, 0x0192, + 0x7FFC, 0x01C4, + 0x7FFC, 0x01F6, + 0x7FFB, 0x0228, + 0x7FFA, 0x025B, + 0x7FF9, 0x028D, + 0x7FF8, 0x02BF, + 0x7FF7, 0x02F1, + 0x7FF6, 0x0324, + 0x7FF4, 0x0356, + 0x7FF3, 0x0388, + 0x7FF2, 0x03BA, + 0x7FF0, 0x03ED, + 0x7FEE, 0x041F, + 0x7FED, 0x0451, + 0x7FEB, 0x0483, + 0x7FE9, 0x04B6, + 0x7FE7, 0x04E8, + 0x7FE5, 0x051A, + 0x7FE3, 0x054C, + 0x7FE1, 0x057F, + 0x7FDF, 0x05B1, + 0x7FDD, 0x05E3, + 0x7FDA, 0x0615, + 0x7FD8, 0x0647, + 0x7FD6, 0x067A, + 0x7FD3, 0x06AC, + 0x7FD0, 0x06DE, + 0x7FCE, 0x0710, + 0x7FCB, 0x0742, + 0x7FC8, 0x0775, + 0x7FC5, 0x07A7, + 0x7FC2, 0x07D9, + 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0xBBAF, 0x93C0, + 0xBBDA, 0x93A6, + 0xBC04, 0x938B, + 0xBC2F, 0x9370, + 0xBC5A, 0x9356, + 0xBC84, 0x933B, + 0xBCAF, 0x9321, + 0xBCDA, 0x9306, + 0xBD05, 0x92EC, + 0xBD2F, 0x92D2, + 0xBD5A, 0x92B7, + 0xBD85, 0x929D, + 0xBDB0, 0x9283, + 0xBDDB, 0x9269, + 0xBE06, 0x924F, + 0xBE31, 0x9235, + 0xBE5D, 0x921C, + 0xBE88, 0x9202, + 0xBEB3, 0x91E8, + 0xBEDE, 0x91CF, + 0xBF09, 0x91B5, + 0xBF35, 0x919C, + 0xBF60, 0x9182, + 0xBF8C, 0x9169, + 0xBFB7, 0x9150, + 0xBFE2, 0x9136, + 0xC00E, 0x911D, + 0xC03A, 0x9104, + 0xC065, 0x90EB, + 0xC091, 0x90D2, + 0xC0BC, 0x90B9, + 0xC0E8, 0x90A0, + 0xC114, 0x9088, + 0xC140, 0x906F, + 0xC16C, 0x9056, + 0xC197, 0x903E, + 0xC1C3, 0x9025, + 0xC1EF, 0x900D, + 0xC21B, 0x8FF5, + 0xC247, 0x8FDC, + 0xC273, 0x8FC4, + 0xC29F, 0x8FAC, + 0xC2CC, 0x8F94, + 0xC2F8, 0x8F7C, + 0xC324, 0x8F64, + 0xC350, 0x8F4C, + 0xC37C, 0x8F34, + 0xC3A9, 0x8F1D, + 0xC3D5, 0x8F05, + 0xC402, 0x8EED, + 0xC42E, 0x8ED6, + 0xC45A, 0x8EBE, + 0xC487, 0x8EA7, + 0xC4B3, 0x8E90, + 0xC4E0, 0x8E79, + 0xC50D, 0x8E61, + 0xC539, 0x8E4A, + 0xC566, 0x8E33, + 0xC593, 0x8E1C, + 0xC5BF, 0x8E05, + 0xC5EC, 0x8DEE, + 0xC619, 0x8DD8, + 0xC646, 0x8DC1, + 0xC673, 0x8DAA, + 0xC6A0, 0x8D94, + 0xC6CD, 0x8D7D, + 0xC6F9, 0x8D67, + 0xC727, 0x8D50, + 0xC754, 0x8D3A, + 0xC781, 0x8D24, + 0xC7AE, 0x8D0E, + 0xC7DB, 0x8CF8, + 0xC808, 0x8CE2, + 0xC835, 0x8CCC, + 0xC863, 0x8CB6, + 0xC890, 0x8CA0, + 0xC8BD, 0x8C8A, + 0xC8EB, 0x8C75, + 0xC918, 0x8C5F, + 0xC945, 0x8C4A, + 0xC973, 0x8C34, + 0xC9A0, 0x8C1F, + 0xC9CE, 0x8C09, + 0xC9FB, 0x8BF4, + 0xCA29, 0x8BDF, + 0xCA57, 0x8BCA, + 0xCA84, 0x8BB5, + 0xCAB2, 0x8BA0, + 0xCAE0, 0x8B8B, + 0xCB0D, 0x8B76, + 0xCB3B, 0x8B61, + 0xCB69, 0x8B4D, + 0xCB97, 0x8B38, + 0xCBC5, 0x8B24, + 0xCBF3, 0x8B0F, + 0xCC21, 0x8AFB, + 0xCC4F, 0x8AE6, + 0xCC7D, 0x8AD2, + 0xCCAB, 0x8ABE, + 0xCCD9, 0x8AAA, + 0xCD07, 0x8A96, + 0xCD35, 0x8A82, + 0xCD63, 0x8A6E, + 0xCD91, 0x8A5A, + 0xCDBF, 0x8A46, + 0xCDEE, 0x8A33, + 0xCE1C, 0x8A1F, + 0xCE4A, 0x8A0B, + 0xCE79, 0x89F8, + 0xCEA7, 0x89E4, + 0xCED5, 0x89D1, + 0xCF04, 0x89BE, + 0xCF32, 0x89AB, + 0xCF61, 0x8997, + 0xCF8F, 0x8984, + 0xCFBE, 0x8971, + 0xCFEC, 0x895F, + 0xD01B, 0x894C, + 0xD04A, 0x8939, + 0xD078, 0x8926, + 0xD0A7, 0x8914, + 0xD0D6, 0x8901, + 0xD104, 0x88EF, + 0xD133, 0x88DC, + 0xD162, 0x88CA, + 0xD191, 0x88B8, + 0xD1C0, 0x88A5, + 0xD1EE, 0x8893, + 0xD21D, 0x8881, + 0xD24C, 0x886F, + 0xD27B, 0x885D, + 0xD2AA, 0x884B, + 0xD2D9, 0x883A, + 0xD308, 0x8828, + 0xD337, 0x8816, + 0xD367, 0x8805, + 0xD396, 0x87F3, + 0xD3C5, 0x87E2, + 0xD3F4, 0x87D1, + 0xD423, 0x87BF, + 0xD452, 0x87AE, + 0xD482, 0x879D, + 0xD4B1, 0x878C, + 0xD4E0, 0x877B, + 0xD510, 0x876A, + 0xD53F, 0x8759, + 0xD56E, 0x8749, + 0xD59E, 0x8738, + 0xD5CD, 0x8727, + 0xD5FD, 0x8717, + 0xD62C, 0x8706, + 0xD65C, 0x86F6, + 0xD68B, 0x86E6, + 0xD6BB, 0x86D5, + 0xD6EA, 0x86C5, + 0xD71A, 0x86B5, + 0xD74A, 0x86A5, + 0xD779, 0x8695, + 0xD7A9, 0x8685, + 0xD7D9, 0x8675, + 0xD809, 0x8666, + 0xD838, 0x8656, + 0xD868, 0x8646, + 0xD898, 0x8637, + 0xD8C8, 0x8627, + 0xD8F8, 0x8618, + 0xD927, 0x8609, + 0xD957, 0x85FA, + 0xD987, 0x85EA, + 0xD9B7, 0x85DB, + 0xD9E7, 0x85CC, + 0xDA17, 0x85BD, + 0xDA47, 0x85AF, + 0xDA77, 0x85A0, + 0xDAA7, 0x8591, + 0xDAD7, 0x8582, + 0xDB08, 0x8574, + 0xDB38, 0x8565, + 0xDB68, 0x8557, + 0xDB98, 0x8549, + 0xDBC8, 0x853A, + 0xDBF8, 0x852C, + 0xDC29, 0x851E, + 0xDC59, 0x8510, + 0xDC89, 0x8502, + 0xDCBA, 0x84F4, + 0xDCEA, 0x84E6, + 0xDD1A, 0x84D9, + 0xDD4B, 0x84CB, + 0xDD7B, 0x84BD, + 0xDDAB, 0x84B0, + 0xDDDC, 0x84A2, + 0xDE0C, 0x8495, + 0xDE3D, 0x8488, + 0xDE6D, 0x847B, + 0xDE9E, 0x846D, + 0xDECE, 0x8460, + 0xDEFF, 0x8453, + 0xDF2F, 0x8446, + 0xDF60, 0x843A, + 0xDF91, 0x842D, + 0xDFC1, 0x8420, + 0xDFF2, 0x8414, + 0xE023, 0x8407, + 0xE053, 0x83FA, + 0xE084, 0x83EE, + 0xE0B5, 0x83E2, + 0xE0E6, 0x83D6, + 0xE116, 0x83C9, + 0xE147, 0x83BD, + 0xE178, 0x83B1, + 0xE1A9, 0x83A5, + 0xE1DA, 0x8399, + 0xE20A, 0x838E, + 0xE23B, 0x8382, + 0xE26C, 0x8376, + 0xE29D, 0x836B, + 0xE2CE, 0x835F, + 0xE2FF, 0x8354, + 0xE330, 0x8348, + 0xE361, 0x833D, + 0xE392, 0x8332, + 0xE3C3, 0x8327, + 0xE3F4, 0x831C, + 0xE425, 0x8311, + 0xE456, 0x8306, + 0xE487, 0x82FB, + 0xE4B8, 0x82F0, + 0xE4E9, 0x82E6, + 0xE51B, 0x82DB, + 0xE54C, 0x82D0, + 0xE57D, 0x82C6, + 0xE5AE, 0x82BC, + 0xE5DF, 0x82B1, + 0xE610, 0x82A7, + 0xE642, 0x829D, + 0xE673, 0x8293, + 0xE6A4, 0x8289, + 0xE6D5, 0x827F, + 0xE707, 0x8275, + 0xE738, 0x826B, + 0xE769, 0x8262, + 0xE79B, 0x8258, + 0xE7CC, 0x824F, + 0xE7FD, 0x8245, + 0xE82F, 0x823C, + 0xE860, 0x8232, + 0xE892, 0x8229, + 0xE8C3, 0x8220, + 0xE8F5, 0x8217, + 0xE926, 0x820E, + 0xE957, 0x8205, + 0xE989, 0x81FC, + 0xE9BA, 0x81F3, + 0xE9EC, 0x81EB, + 0xEA1D, 0x81E2, + 0xEA4F, 0x81D9, + 0xEA80, 0x81D1, + 0xEAB2, 0x81C8, + 0xEAE4, 0x81C0, + 0xEB15, 0x81B8, + 0xEB47, 0x81B0, + 0xEB78, 0x81A8, + 0xEBAA, 0x81A0, + 0xEBDC, 0x8198, + 0xEC0D, 0x8190, + 0xEC3F, 0x8188, + 0xEC71, 0x8180, + 0xECA2, 0x8179, + 0xECD4, 0x8171, + 0xED06, 0x816A, + 0xED37, 0x8162, + 0xED69, 0x815B, + 0xED9B, 0x8154, + 0xEDCD, 0x814C, + 0xEDFE, 0x8145, + 0xEE30, 0x813E, + 0xEE62, 0x8137, + 0xEE94, 0x8130, + 0xEEC6, 0x812A, + 0xEEF7, 0x8123, + 0xEF29, 0x811C, + 0xEF5B, 0x8116, + 0xEF8D, 0x810F, + 0xEFBF, 0x8109, + 0xEFF1, 0x8102, + 0xF022, 0x80FC, + 0xF054, 0x80F6, + 0xF086, 0x80F0, + 0xF0B8, 0x80EA, + 0xF0EA, 0x80E4, + 0xF11C, 0x80DE, + 0xF14E, 0x80D8, + 0xF180, 0x80D2, + 0xF1B2, 0x80CD, + 0xF1E4, 0x80C7, + 0xF216, 0x80C2, + 0xF248, 0x80BC, + 0xF27A, 0x80B7, + 0xF2AC, 0x80B2, + 0xF2DE, 0x80AC, + 0xF310, 0x80A7, + 0xF342, 0x80A2, + 0xF374, 0x809D, + 0xF3A6, 0x8098, + 0xF3D8, 0x8094, + 0xF40A, 0x808F, + 0xF43C, 0x808A, + 0xF46E, 0x8086, + 0xF4A0, 0x8081, + 0xF4D2, 0x807D, + 0xF504, 0x8078, + 0xF536, 0x8074, + 0xF568, 0x8070, + 0xF59A, 0x806C, + 0xF5CC, 0x8068, + 0xF5FF, 0x8064, + 0xF631, 0x8060, + 0xF663, 0x805C, + 0xF695, 0x8058, + 0xF6C7, 0x8055, + 0xF6F9, 0x8051, + 0xF72B, 0x804E, + 0xF75D, 0x804A, + 0xF790, 0x8047, + 0xF7C2, 0x8043, + 0xF7F4, 0x8040, + 0xF826, 0x803D, + 0xF858, 0x803A, + 0xF88A, 0x8037, + 0xF8BD, 0x8034, + 0xF8EF, 0x8031, + 0xF921, 0x802F, + 0xF953, 0x802C, + 0xF985, 0x8029, + 0xF9B8, 0x8027, + 0xF9EA, 0x8025, + 0xFA1C, 0x8022, + 0xFA4E, 0x8020, + 0xFA80, 0x801E, + 0xFAB3, 0x801C, + 0xFAE5, 0x801A, + 0xFB17, 0x8018, + 0xFB49, 0x8016, + 0xFB7C, 0x8014, + 0xFBAE, 0x8012, + 0xFBE0, 0x8011, + 0xFC12, 0x800F, + 0xFC45, 0x800D, + 0xFC77, 0x800C, + 0xFCA9, 0x800B, + 0xFCDB, 0x8009, + 0xFD0E, 0x8008, + 0xFD40, 0x8007, + 0xFD72, 0x8006, + 0xFDA4, 0x8005, + 0xFDD7, 0x8004, + 0xFE09, 0x8003, + 0xFE3B, 0x8003, + 0xFE6D, 0x8002, + 0xFEA0, 0x8001, + 0xFED2, 0x8001, + 0xFF04, 0x8000, + 0xFF36, 0x8000, + 0xFF69, 0x8000, + 0xFF9B, 0x8000, + 0xFFCD, 0x8000 +}; + + +/** +* @} end of CFFT_CIFFT group +*/ + +/* +* @brief Q15 table for reciprocal +*/ +const q15_t ALIGN4 armRecipTableQ15[64] = { + 0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0, + 0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82, + 0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484, + 0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0, + 0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E, + 0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255, + 0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6, + 0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978, + 0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8, + 0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255, + 0x41CC, 0x4146, 0x40C2, 0x4040 +}; + +/* +* @brief Q31 table for reciprocal +*/ +const q31_t armRecipTableQ31[64] = { + 0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928, + 0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3, + 0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519, + 0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB, + 0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318, + 0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0, + 0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D, + 0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96, + 0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2, + 0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426, + 0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102 +}; + +const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE__16_TABLE_LENGTH] = +{ + //8x2, size 20 + 8,64, 24,72, 16,64, 40,80, 32,64, 56,88, 48,72, 88,104, 72,96, 104,112 +}; + +const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE__32_TABLE_LENGTH] = +{ + //8x4, size 48 + 8,64, 16,128, 24,192, 32,64, 40,72, 48,136, 56,200, 64,128, 72,80, 88,208, + 80,144, 96,192, 104,208, 112,152, 120,216, 136,192, 144,160, 168,208, + 152,224, 176,208, 184,232, 216,240, 200,224, 232,240 +}; + +const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE__64_TABLE_LENGTH] = +{ + //radix 8, size 56 + 8,64, 16,128, 24,192, 32,256, 40,320, 48,384, 56,448, 80,136, 88,200, + 96,264, 104,328, 112,392, 120,456, 152,208, 160,272, 168,336, 176,400, + 184,464, 224,280, 232,344, 240,408, 248,472, 296,352, 304,416, 312,480, + 368,424, 376,488, 440,496 +}; + +const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH] = +{ + //8x2, size 208 + 8,512, 16,64, 24,576, 32,128, 40,640, 48,192, 56,704, 64,256, 72,768, + 80,320, 88,832, 96,384, 104,896, 112,448, 120,960, 128,512, 136,520, + 144,768, 152,584, 160,520, 168,648, 176,200, 184,712, 192,264, 200,776, + 208,328, 216,840, 224,392, 232,904, 240,456, 248,968, 264,528, 272,320, + 280,592, 288,768, 296,656, 304,328, 312,720, 328,784, 344,848, 352,400, + 360,912, 368,464, 376,976, 384,576, 392,536, 400,832, 408,600, 416,584, + 424,664, 432,840, 440,728, 448,592, 456,792, 464,848, 472,856, 480,600, + 488,920, 496,856, 504,984, 520,544, 528,576, 536,608, 552,672, 560,608, + 568,736, 576,768, 584,800, 592,832, 600,864, 608,800, 616,928, 624,864, + 632,992, 648,672, 656,896, 664,928, 688,904, 696,744, 704,896, 712,808, + 720,912, 728,872, 736,928, 744,936, 752,920, 760,1000, 776,800, 784,832, + 792,864, 808,904, 816,864, 824,920, 840,864, 856,880, 872,944, 888,1008, + 904,928, 912,960, 920,992, 944,968, 952,1000, 968,992, 984,1008 +}; + +const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH] = +{ + //8x4, size 440 + 8,512, 16,1024, 24,1536, 32,64, 40,576, 48,1088, 56,1600, 64,128, 72,640, + 80,1152, 88,1664, 96,192, 104,704, 112,1216, 120,1728, 128,256, 136,768, + 144,1280, 152,1792, 160,320, 168,832, 176,1344, 184,1856, 192,384, + 200,896, 208,1408, 216,1920, 224,448, 232,960, 240,1472, 248,1984, + 256,512, 264,520, 272,1032, 280,1544, 288,640, 296,584, 304,1096, 312,1608, + 320,768, 328,648, 336,1160, 344,1672, 352,896, 360,712, 368,1224, 376,1736, + 384,520, 392,776, 400,1288, 408,1800, 416,648, 424,840, 432,1352, 440,1864, + 448,776, 456,904, 464,1416, 472,1928, 480,904, 488,968, 496,1480, 504,1992, + 520,528, 512,1024, 528,1040, 536,1552, 544,1152, 552,592, 560,1104, + 568,1616, 576,1280, 584,656, 592,1168, 600,1680, 608,1408, 616,720, + 624,1232, 632,1744, 640,1032, 648,784, 656,1296, 664,1808, 672,1160, + 680,848, 688,1360, 696,1872, 704,1288, 712,912, 720,1424, 728,1936, + 736,1416, 744,976, 752,1488, 760,2000, 768,1536, 776,1552, 784,1048, + 792,1560, 800,1664, 808,1680, 816,1112, 824,1624, 832,1792, 840,1808, + 848,1176, 856,1688, 864,1920, 872,1936, 880,1240, 888,1752, 896,1544, + 904,1560, 912,1304, 920,1816, 928,1672, 936,1688, 944,1368, 952,1880, + 960,1800, 968,1816, 976,1432, 984,1944, 992,1928, 1000,1944, 1008,1496, + 1016,2008, 1032,1152, 1040,1056, 1048,1568, 1064,1408, 1072,1120, + 1080,1632, 1088,1536, 1096,1160, 1104,1184, 1112,1696, 1120,1552, + 1128,1416, 1136,1248, 1144,1760, 1160,1664, 1168,1312, 1176,1824, + 1184,1544, 1192,1920, 1200,1376, 1208,1888, 1216,1568, 1224,1672, + 1232,1440, 1240,1952, 1248,1560, 1256,1928, 1264,1504, 1272,2016, + 1288,1312, 1296,1408, 1304,1576, 1320,1424, 1328,1416, 1336,1640, + 1344,1792, 1352,1824, 1360,1920, 1368,1704, 1376,1800, 1384,1432, + 1392,1928, 1400,1768, 1416,1680, 1432,1832, 1440,1576, 1448,1936, + 1456,1832, 1464,1896, 1472,1808, 1480,1688, 1488,1936, 1496,1960, + 1504,1816, 1512,1944, 1520,1944, 1528,2024, 1560,1584, 1592,1648, + 1600,1792, 1608,1920, 1616,1800, 1624,1712, 1632,1808, 1640,1936, + 1648,1816, 1656,1776, 1672,1696, 1688,1840, 1704,1952, 1712,1928, + 1720,1904, 1728,1824, 1736,1952, 1744,1832, 1752,1968, 1760,1840, + 1768,1960, 1776,1944, 1784,2032, 1864,1872, 1848,1944, 1872,1888, + 1880,1904, 1888,1984, 1896,2000, 1912,2032, 1904,2016, 1976,2032, + 1960,1968, 2008,2032, 1992,2016, 2024,2032 +}; + +const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH] = +{ + //radix 8, size 448 + 8,512, 16,1024, 24,1536, 32,2048, 40,2560, 48,3072, 56,3584, 72,576, + 80,1088, 88,1600, 96,2112, 104,2624, 112,3136, 120,3648, 136,640, 144,1152, + 152,1664, 160,2176, 168,2688, 176,3200, 184,3712, 200,704, 208,1216, + 216,1728, 224,2240, 232,2752, 240,3264, 248,3776, 264,768, 272,1280, + 280,1792, 288,2304, 296,2816, 304,3328, 312,3840, 328,832, 336,1344, + 344,1856, 352,2368, 360,2880, 368,3392, 376,3904, 392,896, 400,1408, + 408,1920, 416,2432, 424,2944, 432,3456, 440,3968, 456,960, 464,1472, + 472,1984, 480,2496, 488,3008, 496,3520, 504,4032, 528,1032, 536,1544, + 544,2056, 552,2568, 560,3080, 568,3592, 592,1096, 600,1608, 608,2120, + 616,2632, 624,3144, 632,3656, 656,1160, 664,1672, 672,2184, 680,2696, + 688,3208, 696,3720, 720,1224, 728,1736, 736,2248, 744,2760, 752,3272, + 760,3784, 784,1288, 792,1800, 800,2312, 808,2824, 816,3336, 824,3848, + 848,1352, 856,1864, 864,2376, 872,2888, 880,3400, 888,3912, 912,1416, + 920,1928, 928,2440, 936,2952, 944,3464, 952,3976, 976,1480, 984,1992, + 992,2504, 1000,3016, 1008,3528, 1016,4040, 1048,1552, 1056,2064, 1064,2576, + 1072,3088, 1080,3600, 1112,1616, 1120,2128, 1128,2640, 1136,3152, + 1144,3664, 1176,1680, 1184,2192, 1192,2704, 1200,3216, 1208,3728, + 1240,1744, 1248,2256, 1256,2768, 1264,3280, 1272,3792, 1304,1808, + 1312,2320, 1320,2832, 1328,3344, 1336,3856, 1368,1872, 1376,2384, + 1384,2896, 1392,3408, 1400,3920, 1432,1936, 1440,2448, 1448,2960, + 1456,3472, 1464,3984, 1496,2000, 1504,2512, 1512,3024, 1520,3536, + 1528,4048, 1568,2072, 1576,2584, 1584,3096, 1592,3608, 1632,2136, + 1640,2648, 1648,3160, 1656,3672, 1696,2200, 1704,2712, 1712,3224, + 1720,3736, 1760,2264, 1768,2776, 1776,3288, 1784,3800, 1824,2328, + 1832,2840, 1840,3352, 1848,3864, 1888,2392, 1896,2904, 1904,3416, + 1912,3928, 1952,2456, 1960,2968, 1968,3480, 1976,3992, 2016,2520, + 2024,3032, 2032,3544, 2040,4056, 2088,2592, 2096,3104, 2104,3616, + 2152,2656, 2160,3168, 2168,3680, 2216,2720, 2224,3232, 2232,3744, + 2280,2784, 2288,3296, 2296,3808, 2344,2848, 2352,3360, 2360,3872, + 2408,2912, 2416,3424, 2424,3936, 2472,2976, 2480,3488, 2488,4000, + 2536,3040, 2544,3552, 2552,4064, 2608,3112, 2616,3624, 2672,3176, + 2680,3688, 2736,3240, 2744,3752, 2800,3304, 2808,3816, 2864,3368, + 2872,3880, 2928,3432, 2936,3944, 2992,3496, 3000,4008, 3056,3560, + 3064,4072, 3128,3632, 3192,3696, 3256,3760, 3320,3824, 3384,3888, + 3448,3952, 3512,4016, 3576,4080 +}; + +const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE1024_TABLE_LENGTH] = +{ + //8x2, size 1800 + 8,4096, 16,512, 24,4608, 32,1024, 40,5120, 48,1536, 56,5632, 64,2048, + 72,6144, 80,2560, 88,6656, 96,3072, 104,7168, 112,3584, 120,7680, 128,2048, + 136,4160, 144,576, 152,4672, 160,1088, 168,5184, 176,1600, 184,5696, + 192,2112, 200,6208, 208,2624, 216,6720, 224,3136, 232,7232, 240,3648, + 248,7744, 256,2048, 264,4224, 272,640, 280,4736, 288,1152, 296,5248, + 304,1664, 312,5760, 320,2176, 328,6272, 336,2688, 344,6784, 352,3200, + 360,7296, 368,3712, 376,7808, 384,2112, 392,4288, 400,704, 408,4800, + 416,1216, 424,5312, 432,1728, 440,5824, 448,2240, 456,6336, 464,2752, + 472,6848, 480,3264, 488,7360, 496,3776, 504,7872, 512,2048, 520,4352, + 528,768, 536,4864, 544,1280, 552,5376, 560,1792, 568,5888, 576,2304, + 584,6400, 592,2816, 600,6912, 608,3328, 616,7424, 624,3840, 632,7936, + 640,2176, 648,4416, 656,832, 664,4928, 672,1344, 680,5440, 688,1856, + 696,5952, 704,2368, 712,6464, 720,2880, 728,6976, 736,3392, 744,7488, + 752,3904, 760,8000, 768,2112, 776,4480, 784,896, 792,4992, 800,1408, + 808,5504, 816,1920, 824,6016, 832,2432, 840,6528, 848,2944, 856,7040, + 864,3456, 872,7552, 880,3968, 888,8064, 896,2240, 904,4544, 912,960, + 920,5056, 928,1472, 936,5568, 944,1984, 952,6080, 960,2496, 968,6592, + 976,3008, 984,7104, 992,3520, 1000,7616, 1008,4032, 1016,8128, 1024,4096, + 1032,4104, 1040,4352, 1048,4616, 1056,4104, 1064,5128, 1072,1544, + 1080,5640, 1088,2056, 1096,6152, 1104,2568, 1112,6664, 1120,3080, + 1128,7176, 1136,3592, 1144,7688, 1152,6144, 1160,4168, 1168,6400, + 1176,4680, 1184,6152, 1192,5192, 1200,1608, 1208,5704, 1216,2120, + 1224,6216, 1232,2632, 1240,6728, 1248,3144, 1256,7240, 1264,3656, + 1272,7752, 1280,4160, 1288,4232, 1296,4416, 1304,4744, 1312,4168, + 1320,5256, 1328,1672, 1336,5768, 1344,2184, 1352,6280, 1360,2696, + 1368,6792, 1376,3208, 1384,7304, 1392,3720, 1400,7816, 1408,6208, + 1416,4296, 1424,6464, 1432,4808, 1440,6216, 1448,5320, 1456,1736, + 1464,5832, 1472,2248, 1480,6344, 1488,2760, 1496,6856, 1504,3272, + 1512,7368, 1520,3784, 1528,7880, 1536,4224, 1544,4360, 1552,4480, + 1560,4872, 1568,4232, 1576,5384, 1584,1800, 1592,5896, 1600,2312, + 1608,6408, 1616,2824, 1624,6920, 1632,3336, 1640,7432, 1648,3848, + 1656,7944, 1664,6272, 1672,4424, 1680,6528, 1688,4936, 1696,6280, + 1704,5448, 1712,1864, 1720,5960, 1728,2376, 1736,6472, 1744,2888, + 1752,6984, 1760,3400, 1768,7496, 1776,3912, 1784,8008, 1792,4288, + 1800,4488, 1808,4544, 1816,5000, 1824,4296, 1832,5512, 1840,1928, + 1848,6024, 1856,2440, 1864,6536, 1872,2952, 1880,7048, 1888,3464, + 1896,7560, 1904,3976, 1912,8072, 1920,6336, 1928,4552, 1936,6592, + 1944,5064, 1952,6344, 1960,5576, 1968,1992, 1976,6088, 1984,2504, + 1992,6600, 2000,3016, 2008,7112, 2016,3528, 2024,7624, 2032,4040, + 2040,8136, 2056,4112, 2064,2112, 2072,4624, 2080,4352, 2088,5136, + 2096,4480, 2104,5648, 2120,6160, 2128,2576, 2136,6672, 2144,3088, + 2152,7184, 2160,3600, 2168,7696, 2176,2560, 2184,4176, 2192,2816, + 2200,4688, 2208,2568, 2216,5200, 2224,2824, 2232,5712, 2240,2576, + 2248,6224, 2256,2640, 2264,6736, 2272,3152, 2280,7248, 2288,3664, + 2296,7760, 2312,4240, 2320,2432, 2328,4752, 2336,6400, 2344,5264, + 2352,6528, 2360,5776, 2368,2816, 2376,6288, 2384,2704, 2392,6800, + 2400,3216, 2408,7312, 2416,3728, 2424,7824, 2432,2624, 2440,4304, + 2448,2880, 2456,4816, 2464,2632, 2472,5328, 2480,2888, 2488,5840, + 2496,2640, 2504,6352, 2512,2768, 2520,6864, 2528,3280, 2536,7376, + 2544,3792, 2552,7888, 2568,4368, 2584,4880, 2592,4416, 2600,5392, + 2608,4544, 2616,5904, 2632,6416, 2640,2832, 2648,6928, 2656,3344, + 2664,7440, 2672,3856, 2680,7952, 2696,4432, 2704,2944, 2712,4944, + 2720,4432, 2728,5456, 2736,2952, 2744,5968, 2752,2944, 2760,6480, + 2768,2896, 2776,6992, 2784,3408, 2792,7504, 2800,3920, 2808,8016, + 2824,4496, 2840,5008, 2848,6464, 2856,5520, 2864,6592, 2872,6032, + 2888,6544, 2896,2960, 2904,7056, 2912,3472, 2920,7568, 2928,3984, + 2936,8080, 2952,4560, 2960,3008, 2968,5072, 2976,6480, 2984,5584, + 2992,3016, 3000,6096, 3016,6608, 3032,7120, 3040,3536, 3048,7632, + 3056,4048, 3064,8144, 3072,4608, 3080,4120, 3088,4864, 3096,4632, + 3104,4616, 3112,5144, 3120,4872, 3128,5656, 3136,4624, 3144,6168, + 3152,4880, 3160,6680, 3168,4632, 3176,7192, 3184,3608, 3192,7704, + 3200,6656, 3208,4184, 3216,6912, 3224,4696, 3232,6664, 3240,5208, + 3248,6920, 3256,5720, 3264,6672, 3272,6232, 3280,6928, 3288,6744, + 3296,6680, 3304,7256, 3312,3672, 3320,7768, 3328,4672, 3336,4248, + 3344,4928, 3352,4760, 3360,4680, 3368,5272, 3376,4936, 3384,5784, + 3392,4688, 3400,6296, 3408,4944, 3416,6808, 3424,4696, 3432,7320, + 3440,3736, 3448,7832, 3456,6720, 3464,4312, 3472,6976, 3480,4824, + 3488,6728, 3496,5336, 3504,6984, 3512,5848, 3520,6736, 3528,6360, + 3536,6992, 3544,6872, 3552,6744, 3560,7384, 3568,3800, 3576,7896, + 3584,4736, 3592,4376, 3600,4992, 3608,4888, 3616,4744, 3624,5400, + 3632,5000, 3640,5912, 3648,4752, 3656,6424, 3664,5008, 3672,6936, + 3680,4760, 3688,7448, 3696,3864, 3704,7960, 3712,6784, 3720,4440, + 3728,7040, 3736,4952, 3744,6792, 3752,5464, 3760,7048, 3768,5976, + 3776,6800, 3784,6488, 3792,7056, 3800,7000, 3808,6808, 3816,7512, + 3824,3928, 3832,8024, 3840,4800, 3848,4504, 3856,5056, 3864,5016, + 3872,4808, 3880,5528, 3888,5064, 3896,6040, 3904,4816, 3912,6552, + 3920,5072, 3928,7064, 3936,4824, 3944,7576, 3952,3992, 3960,8088, + 3968,6848, 3976,4568, 3984,7104, 3992,5080, 4000,6856, 4008,5592, + 4016,7112, 4024,6104, 4032,6864, 4040,6616, 4048,7120, 4056,7128, + 4064,6872, 4072,7640, 4080,7128, 4088,8152, 4104,4128, 4112,4160, + 4120,4640, 4136,5152, 4144,4232, 4152,5664, 4160,4352, 4168,6176, + 4176,4416, 4184,6688, 4192,4616, 4200,7200, 4208,4744, 4216,7712, + 4224,4608, 4232,4616, 4240,4672, 4248,4704, 4256,4640, 4264,5216, + 4272,4704, 4280,5728, 4288,4864, 4296,6240, 4304,4928, 4312,6752, + 4320,4632, 4328,7264, 4336,4760, 4344,7776, 4360,4640, 4368,4416, + 4376,4768, 4384,6152, 4392,5280, 4400,6280, 4408,5792, 4424,6304, + 4440,6816, 4448,6664, 4456,7328, 4464,6792, 4472,7840, 4480,4624, + 4488,4632, 4496,4688, 4504,4832, 4512,6168, 4520,5344, 4528,6296, + 4536,5856, 4544,4880, 4552,6368, 4560,4944, 4568,6880, 4576,6680, + 4584,7392, 4592,6808, 4600,7904, 4608,6144, 4616,6152, 4624,6208, + 4632,4896, 4640,6176, 4648,5408, 4656,6240, 4664,5920, 4672,6400, + 4680,6432, 4688,6464, 4696,6944, 4704,6432, 4712,7456, 4720,4808, + 4728,7968, 4736,6656, 4744,6664, 4752,6720, 4760,4960, 4768,6688, + 4776,5472, 4784,6752, 4792,5984, 4800,6912, 4808,6496, 4816,6976, + 4824,7008, 4832,6944, 4840,7520, 4848,7008, 4856,8032, 4864,6160, + 4872,6168, 4880,6224, 4888,5024, 4896,6216, 4904,5536, 4912,6344, + 4920,6048, 4928,6416, 4936,6560, 4944,6480, 4952,7072, 4960,6728, + 4968,7584, 4976,6856, 4984,8096, 4992,6672, 5000,6680, 5008,6736, + 5016,5088, 5024,6232, 5032,5600, 5040,6360, 5048,6112, 5056,6928, + 5064,6624, 5072,6992, 5080,7136, 5088,6744, 5096,7648, 5104,6872, + 5112,8160, 5128,5152, 5136,5376, 5144,5408, 5168,5384, 5176,5672, + 5184,5376, 5192,6184, 5200,5392, 5208,6696, 5216,5408, 5224,7208, + 5232,5400, 5240,7720, 5248,7168, 5256,7200, 5264,7424, 5272,7456, + 5280,7176, 5288,7208, 5296,7432, 5304,5736, 5312,7184, 5320,6248, + 5328,7440, 5336,6760, 5344,7192, 5352,7272, 5360,7448, 5368,7784, + 5384,5408, 5392,5440, 5400,5472, 5408,6184, 5416,7208, 5424,5448, + 5432,5800, 5448,6312, 5464,6824, 5472,6696, 5480,7336, 5488,6824, + 5496,7848, 5504,7232, 5512,7264, 5520,7488, 5528,7520, 5536,7240, + 5544,7272, 5552,7496, 5560,5864, 5568,7248, 5576,6376, 5584,7504, + 5592,6888, 5600,7256, 5608,7400, 5616,7512, 5624,7912, 5632,7168, + 5640,7176, 5648,7232, 5656,7240, 5664,7200, 5672,7208, 5680,7264, + 5688,5928, 5696,7424, 5704,6440, 5712,7488, 5720,6952, 5728,7456, + 5736,7464, 5744,7520, 5752,7976, 5760,7296, 5768,7328, 5776,7552, + 5784,7584, 5792,7304, 5800,7336, 5808,7560, 5816,5992, 5824,7312, + 5832,6504, 5840,7568, 5848,7016, 5856,7320, 5864,7528, 5872,7576, + 5880,8040, 5888,7184, 5896,7192, 5904,7248, 5912,7256, 5920,6248, + 5928,7272, 5936,6376, 5944,6056, 5952,7440, 5960,6568, 5968,7504, + 5976,7080, 5984,6760, 5992,7592, 6000,6888, 6008,8104, 6016,7360, + 6024,7392, 6032,7616, 6040,7648, 6048,7368, 6056,7400, 6064,7624, + 6072,6120, 6080,7376, 6088,6632, 6096,7632, 6104,7144, 6112,7384, + 6120,7656, 6128,7640, 6136,8168, 6168,6240, 6192,6216, 6200,7264, + 6232,6704, 6248,7216, 6256,6680, 6264,7728, 6272,6656, 6280,6664, + 6288,6912, 6296,6496, 6304,6688, 6312,6696, 6320,6944, 6328,7520, + 6336,6672, 6344,6680, 6352,6928, 6360,6768, 6368,6704, 6376,7280, + 6384,6744, 6392,7792, 6408,6432, 6424,6752, 6440,7432, 6448,6536, + 6456,7560, 6472,6944, 6488,6832, 6496,6920, 6504,7344, 6512,7048, + 6520,7856, 6528,6720, 6536,6728, 6544,6976, 6552,7008, 6560,6752, + 6568,7448, 6576,7008, 6584,7576, 6592,6736, 6600,6744, 6608,6992, + 6616,6896, 6624,6936, 6632,7408, 6640,7064, 6648,7920, 6712,7280, + 6744,6960, 6760,7472, 6768,6936, 6776,7984, 6800,6848, 6808,6856, + 6832,6880, 6840,6888, 6848,7040, 6856,7048, 6864,7104, 6872,7024, + 6880,7072, 6888,7536, 6896,7136, 6904,8048, 6952,7496, 6968,7624, + 6984,7008, 7000,7088, 7016,7600, 7024,7112, 7032,8112, 7056,7104, + 7064,7112, 7080,7512, 7088,7136, 7096,7640, 7128,7152, 7144,7664, + 7160,8176, 7176,7200, 7192,7216, 7224,7272, 7240,7264, 7256,7280, + 7288,7736, 7296,7680, 7304,7712, 7312,7936, 7320,7968, 7328,7688, + 7336,7720, 7344,7944, 7352,7976, 7360,7696, 7368,7728, 7376,7952, + 7384,7984, 7392,7704, 7400,7736, 7408,7960, 7416,7800, 7432,7456, + 7448,7472, 7480,7592, 7496,7520, 7512,7536, 7528,7976, 7544,7864, + 7552,7744, 7560,7776, 7568,8000, 7576,8032, 7584,7752, 7592,7784, + 7600,8008, 7608,8040, 7616,7760, 7624,7792, 7632,8016, 7640,8048, + 7648,7768, 7656,7800, 7664,8024, 7672,7928, 7688,7712, 7704,7728, + 7752,7776, 7768,7792, 7800,7992, 7816,7840, 7824,8064, 7832,8096, + 7856,8072, 7864,8104, 7872,8064, 7880,8072, 7888,8080, 7896,8112, + 7904,8096, 7912,8104, 7920,8088, 7928,8056, 7944,7968, 7960,7984, + 8008,8032, 8024,8048, 8056,8120, 8072,8096, 8080,8128, 8088,8160, + 8112,8136, 8120,8168, 8136,8160, 8152,8176 +}; + +const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE2048_TABLE_LENGTH] = +{ + //8x2, size 3808 + 8,4096, 16,8192, 24,12288, 32,512, 40,4608, 48,8704, 56,12800, 64,1024, + 72,5120, 80,9216, 88,13312, 96,1536, 104,5632, 112,9728, 120,13824, + 128,2048, 136,6144, 144,10240, 152,14336, 160,2560, 168,6656, 176,10752, + 184,14848, 192,3072, 200,7168, 208,11264, 216,15360, 224,3584, 232,7680, + 240,11776, 248,15872, 256,1024, 264,4160, 272,8256, 280,12352, 288,576, + 296,4672, 304,8768, 312,12864, 320,1088, 328,5184, 336,9280, 344,13376, + 352,1600, 360,5696, 368,9792, 376,13888, 384,2112, 392,6208, 400,10304, + 408,14400, 416,2624, 424,6720, 432,10816, 440,14912, 448,3136, 456,7232, + 464,11328, 472,15424, 480,3648, 488,7744, 496,11840, 504,15936, 512,2048, + 520,4224, 528,8320, 536,12416, 544,640, 552,4736, 560,8832, 568,12928, + 576,1152, 584,5248, 592,9344, 600,13440, 608,1664, 616,5760, 624,9856, + 632,13952, 640,2176, 648,6272, 656,10368, 664,14464, 672,2688, 680,6784, + 688,10880, 696,14976, 704,3200, 712,7296, 720,11392, 728,15488, 736,3712, + 744,7808, 752,11904, 760,16000, 768,3072, 776,4288, 784,8384, 792,12480, + 800,3200, 808,4800, 816,8896, 824,12992, 832,1216, 840,5312, 848,9408, + 856,13504, 864,1728, 872,5824, 880,9920, 888,14016, 896,2240, 904,6336, + 912,10432, 920,14528, 928,2752, 936,6848, 944,10944, 952,15040, 960,3264, + 968,7360, 976,11456, 984,15552, 992,3776, 1000,7872, 1008,11968, 1016,16064, + 1032,4352, 1040,8448, 1048,12544, 1056,3072, 1064,4864, 1072,8960, + 1080,13056, 1088,1280, 1096,5376, 1104,9472, 1112,13568, 1120,1792, + 1128,5888, 1136,9984, 1144,14080, 1152,2304, 1160,6400, 1168,10496, + 1176,14592, 1184,2816, 1192,6912, 1200,11008, 1208,15104, 1216,3328, + 1224,7424, 1232,11520, 1240,15616, 1248,3840, 1256,7936, 1264,12032, + 1272,16128, 1288,4416, 1296,8512, 1304,12608, 1312,3328, 1320,4928, + 1328,9024, 1336,13120, 1352,5440, 1360,9536, 1368,13632, 1376,1856, + 1384,5952, 1392,10048, 1400,14144, 1408,2368, 1416,6464, 1424,10560, + 1432,14656, 1440,2880, 1448,6976, 1456,11072, 1464,15168, 1472,3392, + 1480,7488, 1488,11584, 1496,15680, 1504,3904, 1512,8000, 1520,12096, + 1528,16192, 1536,2112, 1544,4480, 1552,8576, 1560,12672, 1568,2240, + 1576,4992, 1584,9088, 1592,13184, 1600,2368, 1608,5504, 1616,9600, + 1624,13696, 1632,1920, 1640,6016, 1648,10112, 1656,14208, 1664,2432, + 1672,6528, 1680,10624, 1688,14720, 1696,2944, 1704,7040, 1712,11136, + 1720,15232, 1728,3456, 1736,7552, 1744,11648, 1752,15744, 1760,3968, + 1768,8064, 1776,12160, 1784,16256, 1792,3136, 1800,4544, 1808,8640, + 1816,12736, 1824,3264, 1832,5056, 1840,9152, 1848,13248, 1856,3392, + 1864,5568, 1872,9664, 1880,13760, 1888,1984, 1896,6080, 1904,10176, + 1912,14272, 1920,2496, 1928,6592, 1936,10688, 1944,14784, 1952,3008, + 1960,7104, 1968,11200, 1976,15296, 1984,3520, 1992,7616, 2000,11712, + 2008,15808, 2016,4032, 2024,8128, 2032,12224, 2040,16320, 2048,4096, + 2056,4104, 2064,8200, 2072,12296, 2080,4224, 2088,4616, 2096,8712, + 2104,12808, 2112,4352, 2120,5128, 2128,9224, 2136,13320, 2144,4480, + 2152,5640, 2160,9736, 2168,13832, 2176,4104, 2184,6152, 2192,10248, + 2200,14344, 2208,2568, 2216,6664, 2224,10760, 2232,14856, 2240,3080, + 2248,7176, 2256,11272, 2264,15368, 2272,3592, 2280,7688, 2288,11784, + 2296,15880, 2304,5120, 2312,4168, 2320,8264, 2328,12360, 2336,5248, + 2344,4680, 2352,8776, 2360,12872, 2368,5376, 2376,5192, 2384,9288, + 2392,13384, 2400,5504, 2408,5704, 2416,9800, 2424,13896, 2432,5128, + 2440,6216, 2448,10312, 2456,14408, 2464,2632, 2472,6728, 2480,10824, + 2488,14920, 2496,3144, 2504,7240, 2512,11336, 2520,15432, 2528,3656, + 2536,7752, 2544,11848, 2552,15944, 2560,6144, 2568,4232, 2576,8328, + 2584,12424, 2592,6272, 2600,4744, 2608,8840, 2616,12936, 2624,6400, + 2632,5256, 2640,9352, 2648,13448, 2656,6528, 2664,5768, 2672,9864, + 2680,13960, 2688,6152, 2696,6280, 2704,10376, 2712,14472, 2720,6280, + 2728,6792, 2736,10888, 2744,14984, 2752,3208, 2760,7304, 2768,11400, + 2776,15496, 2784,3720, 2792,7816, 2800,11912, 2808,16008, 2816,7168, + 2824,4296, 2832,8392, 2840,12488, 2848,7296, 2856,4808, 2864,8904, + 2872,13000, 2880,7424, 2888,5320, 2896,9416, 2904,13512, 2912,7552, + 2920,5832, 2928,9928, 2936,14024, 2944,7176, 2952,6344, 2960,10440, + 2968,14536, 2976,7304, 2984,6856, 2992,10952, 3000,15048, 3008,3272, + 3016,7368, 3024,11464, 3032,15560, 3040,3784, 3048,7880, 3056,11976, + 3064,16072, 3072,4160, 3080,4360, 3088,8456, 3096,12552, 3104,4288, + 3112,4872, 3120,8968, 3128,13064, 3136,4416, 3144,5384, 3152,9480, + 3160,13576, 3168,4544, 3176,5896, 3184,9992, 3192,14088, 3200,4168, + 3208,6408, 3216,10504, 3224,14600, 3232,4296, 3240,6920, 3248,11016, + 3256,15112, 3264,3336, 3272,7432, 3280,11528, 3288,15624, 3296,3848, + 3304,7944, 3312,12040, 3320,16136, 3328,5184, 3336,4424, 3344,8520, + 3352,12616, 3360,5312, 3368,4936, 3376,9032, 3384,13128, 3392,5440, + 3400,5448, 3408,9544, 3416,13640, 3424,5568, 3432,5960, 3440,10056, + 3448,14152, 3456,5192, 3464,6472, 3472,10568, 3480,14664, 3488,5320, + 3496,6984, 3504,11080, 3512,15176, 3520,5448, 3528,7496, 3536,11592, + 3544,15688, 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, 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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, 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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, 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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, 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20344,31712, 20392,24032, + 20400,28128, 20408,32224, 20456,24544, 20464,28640, 20472,32736, + 20528,24616, 20536,28712, 20584,21032, 20592,25128, 20600,29224, + 20648,21544, 20656,25640, 20664,29736, 20712,22056, 20720,26152, + 20728,30248, 20776,22568, 20784,26664, 20792,30760, 20840,23080, + 20848,27176, 20856,31272, 20904,23592, 20912,27688, 20920,31784, + 20968,24104, 20976,28200, 20984,32296, 21040,24680, 21048,28776, + 21104,25192, 21112,29288, 21160,21608, 21168,25704, 21176,29800, + 21224,22120, 21232,26216, 21240,30312, 21288,22632, 21296,26728, + 21304,30824, 21352,23144, 21360,27240, 21368,31336, 21416,23656, + 21424,27752, 21432,31848, 21480,24168, 21488,28264, 21496,32360, + 21552,24744, 21560,28840, 21616,25256, 21624,29352, 21680,25768, + 21688,29864, 21736,22184, 21744,26280, 21752,30376, 21800,22696, + 21808,26792, 21816,30888, 21864,23208, 21872,27304, 21880,31400, + 21928,23720, 21936,27816, 21944,31912, 21992,24232, 22000,28328, + 22008,32424, 22064,24808, 22072,28904, 22128,25320, 22136,29416, + 22192,25832, 22200,29928, 22256,26344, 22264,30440, 22312,22760, + 22320,26856, 22328,30952, 22376,23272, 22384,27368, 22392,31464, + 22440,23784, 22448,27880, 22456,31976, 22504,24296, 22512,28392, + 22520,32488, 22576,24872, 22584,28968, 22640,25384, 22648,29480, + 22704,25896, 22712,29992, 22768,26408, 22776,30504, 22832,26920, + 22840,31016, 22888,23336, 22896,27432, 22904,31528, 22952,23848, + 22960,27944, 22968,32040, 23016,24360, 23024,28456, 23032,32552, + 23088,24936, 23096,29032, 23152,25448, 23160,29544, 23216,25960, + 23224,30056, 23280,26472, 23288,30568, 23344,26984, 23352,31080, + 23408,27496, 23416,31592, 23464,23912, 23472,28008, 23480,32104, + 23528,24424, 23536,28520, 23544,32616, 23600,25000, 23608,29096, + 23664,25512, 23672,29608, 23728,26024, 23736,30120, 23792,26536, + 23800,30632, 23856,27048, 23864,31144, 23920,27560, 23928,31656, + 23984,28072, 23992,32168, 24040,24488, 24048,28584, 24056,32680, + 24112,25064, 24120,29160, 24176,25576, 24184,29672, 24240,26088, + 24248,30184, 24304,26600, 24312,30696, 24368,27112, 24376,31208, + 24432,27624, 24440,31720, 24496,28136, 24504,32232, 24560,28648, + 24568,32744, 24632,28720, 24688,25136, 24696,29232, 24752,25648, + 24760,29744, 24816,26160, 24824,30256, 24880,26672, 24888,30768, + 24944,27184, 24952,31280, 25008,27696, 25016,31792, 25072,28208, + 25080,32304, 25144,28784, 25208,29296, 25264,25712, 25272,29808, + 25328,26224, 25336,30320, 25392,26736, 25400,30832, 25456,27248, + 25464,31344, 25520,27760, 25528,31856, 25584,28272, 25592,32368, + 25656,28848, 25720,29360, 25784,29872, 25840,26288, 25848,30384, + 25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824, + 26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424, + 26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376, + 26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496, + 26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024, + 26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464, + 27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576, + 27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528, + 27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640, + 27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688, + 28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216, + 28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752, + 28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312, + 29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864, + 29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928, + 30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504, + 31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632, + 32248,32696 +}; + + +const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH] = +{ + //radix 4, size 12 + 8,64, 16,32, 24,96, 40,80, 56,112, 88,104 +}; + +const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH] = +{ + //4x2, size 24 + 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144, + 88,208, 104,176, 120,240, 152,200, 184,232 +}; + +const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH] = +{ + //radix 4, size 56 + 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352, + 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432, + 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472 +}; + +const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH] = +{ + //4x2, size 112 + 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192, + 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608, + 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912, + 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624, + 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968, + 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984 +}; + +const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH] = +{ + //radix 4, size 240 + 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640, + 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320, + 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960, + 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672, + 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376, + 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040, + 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912, + 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488, + 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456, + 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520, + 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928, + 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832, + 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816, + 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976 +}; + +const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH] = +{ + //4x2, size 480 + 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280, + 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640, + 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944, + 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648, + 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216, + 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960, + 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616, + 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184, + 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976, + 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400, + 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784, + 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064, + 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344, + 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728, + 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152, + 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920, + 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024, + 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376, + 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480, + 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696, + 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824, + 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312, + 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464, + 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912, + 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624, + 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008, + 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072, + 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928, + 3512,3800, 3576,4056, 3704,3896, 3832,4024 +}; + +const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH] = +{ + //radix 4, size 992 + 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608, + 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352, + 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864, + 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176, + 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688, + 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528, + 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040, + 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088, + 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696, + 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392, + 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904, + 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360, + 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544, + 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008, + 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080, + 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688, + 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432, + 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944, + 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304, + 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696, + 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536, + 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048, + 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168, + 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776, + 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960, + 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320, + 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784, + 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624, + 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112, + 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184, + 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368, + 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832, + 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264, + 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728, + 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008, + 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224, + 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664, + 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944, + 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352, + 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792, + 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072, + 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168, + 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400, + 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936, + 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784, + 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552, + 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208, + 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792, + 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000, + 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848, + 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664, + 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176, + 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384, + 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256, + 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512, + 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192, + 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496, + 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368, + 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112, + 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720, + 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312, + 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080, + 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504, + 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888, + 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680, + 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808, + 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512, + 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736, + 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056 +}; + +const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH] = +{ + //4x2, size 1984 + 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024, + 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512, + 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848, + 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680, + 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400, + 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520, + 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816, + 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080, + 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416, + 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248, + 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736, + 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856, + 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576, + 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408, + 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744, + 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232, + 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064, + 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208, + 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232, + 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720, + 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840, + 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560, + 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584, + 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072, + 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904, + 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240, + 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264, + 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752, + 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776, + 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496, + 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520, + 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008, + 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032, + 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272, + 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296, + 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784, + 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808, + 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432, + 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456, + 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944, + 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968, + 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496, + 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520, + 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888, + 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608, + 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536, + 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024, + 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048, + 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192, + 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408, + 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848, + 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872, + 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496, + 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712, + 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080, + 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416, + 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344, + 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024, + 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000, + 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624, + 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840, + 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208, + 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304, + 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280, + 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672, + 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888, + 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392, + 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072, + 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096, + 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288, + 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504, + 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776, + 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688, + 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664, + 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248, + 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272, + 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392, + 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736, + 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952, + 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648, + 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992, + 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016, + 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424, + 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008, + 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888, + 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680, + 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264, + 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240, + 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264, + 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848, + 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728, + 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520, + 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104, + 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080, + 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392, + 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976, + 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856, + 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648, + 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232, + 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112, + 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328, + 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864, + 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560, + 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632, + 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096, + 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528, + 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600, + 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064, + 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832, + 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296, + 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368, + 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272, + 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736, + 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600, + 8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064, + 8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136, + 8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400, + 8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960, + 8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608, + 9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240, + 9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312, + 9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824, + 9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616, + 9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128, + 9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200, + 9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560, + 9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072, + 10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816, + 10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328, + 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840, + 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584, + 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048, + 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504, + 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992, + 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688, + 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296, + 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952, + 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672, + 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232, + 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080, + 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848, + 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336, + 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616, + 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152, + 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024, + 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280, + 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680, + 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576, + 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344, + 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184, + 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248 +}; + +const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH] = +{ + //radix 4, size 4032 + 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048, + 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720, + 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312, + 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552, + 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608, + 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136, + 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728, + 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968, + 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640, + 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304, + 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976, + 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568, + 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808, + 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248, + 816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912, + 872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368, + 928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032, + 984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320, + 1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176, + 1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464, + 1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632, + 1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776, + 1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832, + 1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688, + 1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976, + 1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144, + 1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288, + 1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576, + 1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432, + 1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720, + 1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888, + 1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032, + 1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088, + 1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944, + 1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232, + 1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400, + 1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544, + 2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256, + 2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496, + 2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784, + 2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376, + 2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232, + 2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152, + 2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 2376,19008, + 2384,10816, 2392,27200, 2400,6720, 2408,23104, 2416,14912, 2424,31296, + 2440,17984, 2448,9792, 2456,26176, 2464,5696, 2472,22080, 2480,13888, + 2488,30272, 2496,3648, 2504,20032, 2512,11840, 2520,28224, 2528,7744, + 2536,24128, 2544,15936, 2552,32320, 2568,16704, 2576,8512, 2584,24896, + 2592,4416, 2600,20800, 2608,12608, 2616,28992, 2632,18752, 2640,10560, + 2648,26944, 2656,6464, 2664,22848, 2672,14656, 2680,31040, 2696,17728, + 2704,9536, 2712,25920, 2720,5440, 2728,21824, 2736,13632, 2744,30016, 2752,3392, + 2760,19776, 2768,11584, 2776,27968, 2784,7488, 2792,23872, 2800,15680, + 2808,32064, 2824,17216, 2832,9024, 2840,25408, 2848,4928, 2856,21312, + 2864,13120, 2872,29504, 2888,19264, 2896,11072, 2904,27456, 2912,6976, + 2920,23360, 2928,15168, 2936,31552, 2952,18240, 2960,10048, 2968,26432, + 2976,5952, 2984,22336, 2992,14144, 3000,30528, 3008,3904, 3016,20288, + 3024,12096, 3032,28480, 3040,8000, 3048,24384, 3056,16192, 3064,32576, + 3080,16576, 3088,8384, 3096,24768, 3104,4288, 3112,20672, 3120,12480, + 3128,28864, 3144,18624, 3152,10432, 3160,26816, 3168,6336, 3176,22720, + 3184,14528, 3192,30912, 3208,17600, 3216,9408, 3224,25792, 3232,5312, + 3240,21696, 3248,13504, 3256,29888, 3272,19648, 3280,11456, 3288,27840, + 3296,7360, 3304,23744, 3312,15552, 3320,31936, 3336,17088, 3344,8896, + 3352,25280, 3360,4800, 3368,21184, 3376,12992, 3384,29376, 3400,19136, + 3408,10944, 3416,27328, 3424,6848, 3432,23232, 3440,15040, 3448,31424, + 3464,18112, 3472,9920, 3480,26304, 3488,5824, 3496,22208, 3504,14016, + 3512,30400, 3520,3776, 3528,20160, 3536,11968, 3544,28352, 3552,7872, + 3560,24256, 3568,16064, 3576,32448, 3592,16832, 3600,8640, 3608,25024, + 3616,4544, 3624,20928, 3632,12736, 3640,29120, 3656,18880, 3664,10688, + 3672,27072, 3680,6592, 3688,22976, 3696,14784, 3704,31168, 3720,17856, + 3728,9664, 3736,26048, 3744,5568, 3752,21952, 3760,13760, 3768,30144, + 3784,19904, 3792,11712, 3800,28096, 3808,7616, 3816,24000, 3824,15808, + 3832,32192, 3848,17344, 3856,9152, 3864,25536, 3872,5056, 3880,21440, + 3888,13248, 3896,29632, 3912,19392, 3920,11200, 3928,27584, 3936,7104, + 3944,23488, 3952,15296, 3960,31680, 3976,18368, 3984,10176, 3992,26560, + 4000,6080, 4008,22464, 4016,14272, 4024,30656, 4040,20416, 4048,12224, + 4056,28608, 4064,8128, 4072,24512, 4080,16320, 4088,32704, 4104,16416, + 4112,8224, 4120,24608, 4136,20512, 4144,12320, 4152,28704, 4168,18464, + 4176,10272, 4184,26656, 4192,6176, 4200,22560, 4208,14368, 4216,30752, + 4232,17440, 4240,9248, 4248,25632, 4256,5152, 4264,21536, 4272,13344, + 4280,29728, 4296,19488, 4304,11296, 4312,27680, 4320,7200, 4328,23584, + 4336,15392, 4344,31776, 4360,16928, 4368,8736, 4376,25120, 4384,4640, + 4392,21024, 4400,12832, 4408,29216, 4424,18976, 4432,10784, 4440,27168, + 4448,6688, 4456,23072, 4464,14880, 4472,31264, 4488,17952, 4496,9760, + 4504,26144, 4512,5664, 4520,22048, 4528,13856, 4536,30240, 4552,20000, + 4560,11808, 4568,28192, 4576,7712, 4584,24096, 4592,15904, 4600,32288, + 4616,16672, 4624,8480, 4632,24864, 4648,20768, 4656,12576, 4664,28960, + 4680,18720, 4688,10528, 4696,26912, 4704,6432, 4712,22816, 4720,14624, + 4728,31008, 4744,17696, 4752,9504, 4760,25888, 4768,5408, 4776,21792, + 4784,13600, 4792,29984, 4808,19744, 4816,11552, 4824,27936, 4832,7456, + 4840,23840, 4848,15648, 4856,32032, 4872,17184, 4880,8992, 4888,25376, + 4904,21280, 4912,13088, 4920,29472, 4936,19232, 4944,11040, 4952,27424, + 4960,6944, 4968,23328, 4976,15136, 4984,31520, 5000,18208, 5008,10016, + 5016,26400, 5024,5920, 5032,22304, 5040,14112, 5048,30496, 5064,20256, + 5072,12064, 5080,28448, 5088,7968, 5096,24352, 5104,16160, 5112,32544, + 5128,16544, 5136,8352, 5144,24736, 5160,20640, 5168,12448, 5176,28832, + 5192,18592, 5200,10400, 5208,26784, 5216,6304, 5224,22688, 5232,14496, + 5240,30880, 5256,17568, 5264,9376, 5272,25760, 5288,21664, 5296,13472, + 5304,29856, 5320,19616, 5328,11424, 5336,27808, 5344,7328, 5352,23712, + 5360,15520, 5368,31904, 5384,17056, 5392,8864, 5400,25248, 5416,21152, + 5424,12960, 5432,29344, 5448,19104, 5456,10912, 5464,27296, 5472,6816, + 5480,23200, 5488,15008, 5496,31392, 5512,18080, 5520,9888, 5528,26272, + 5536,5792, 5544,22176, 5552,13984, 5560,30368, 5576,20128, 5584,11936, + 5592,28320, 5600,7840, 5608,24224, 5616,16032, 5624,32416, 5640,16800, + 5648,8608, 5656,24992, 5672,20896, 5680,12704, 5688,29088, 5704,18848, + 5712,10656, 5720,27040, 5728,6560, 5736,22944, 5744,14752, 5752,31136, + 5768,17824, 5776,9632, 5784,26016, 5800,21920, 5808,13728, 5816,30112, + 5832,19872, 5840,11680, 5848,28064, 5856,7584, 5864,23968, 5872,15776, + 5880,32160, 5896,17312, 5904,9120, 5912,25504, 5928,21408, 5936,13216, + 5944,29600, 5960,19360, 5968,11168, 5976,27552, 5984,7072, 5992,23456, + 6000,15264, 6008,31648, 6024,18336, 6032,10144, 6040,26528, 6056,22432, + 6064,14240, 6072,30624, 6088,20384, 6096,12192, 6104,28576, 6112,8096, + 6120,24480, 6128,16288, 6136,32672, 6152,16480, 6160,8288, 6168,24672, + 6184,20576, 6192,12384, 6200,28768, 6216,18528, 6224,10336, 6232,26720, + 6248,22624, 6256,14432, 6264,30816, 6280,17504, 6288,9312, 6296,25696, + 6312,21600, 6320,13408, 6328,29792, 6344,19552, 6352,11360, 6360,27744, + 6368,7264, 6376,23648, 6384,15456, 6392,31840, 6408,16992, 6416,8800, + 6424,25184, 6440,21088, 6448,12896, 6456,29280, 6472,19040, 6480,10848, + 6488,27232, 6496,6752, 6504,23136, 6512,14944, 6520,31328, 6536,18016, + 6544,9824, 6552,26208, 6568,22112, 6576,13920, 6584,30304, 6600,20064, + 6608,11872, 6616,28256, 6624,7776, 6632,24160, 6640,15968, 6648,32352, + 6664,16736, 6672,8544, 6680,24928, 6696,20832, 6704,12640, 6712,29024, + 6728,18784, 6736,10592, 6744,26976, 6760,22880, 6768,14688, 6776,31072, + 6792,17760, 6800,9568, 6808,25952, 6824,21856, 6832,13664, 6840,30048, + 6856,19808, 6864,11616, 6872,28000, 6880,7520, 6888,23904, 6896,15712, + 6904,32096, 6920,17248, 6928,9056, 6936,25440, 6952,21344, 6960,13152, + 6968,29536, 6984,19296, 6992,11104, 7000,27488, 7016,23392, 7024,15200, + 7032,31584, 7048,18272, 7056,10080, 7064,26464, 7080,22368, 7088,14176, + 7096,30560, 7112,20320, 7120,12128, 7128,28512, 7136,8032, 7144,24416, + 7152,16224, 7160,32608, 7176,16608, 7184,8416, 7192,24800, 7208,20704, + 7216,12512, 7224,28896, 7240,18656, 7248,10464, 7256,26848, 7272,22752, + 7280,14560, 7288,30944, 7304,17632, 7312,9440, 7320,25824, 7336,21728, + 7344,13536, 7352,29920, 7368,19680, 7376,11488, 7384,27872, 7400,23776, + 7408,15584, 7416,31968, 7432,17120, 7440,8928, 7448,25312, 7464,21216, + 7472,13024, 7480,29408, 7496,19168, 7504,10976, 7512,27360, 7528,23264, + 7536,15072, 7544,31456, 7560,18144, 7568,9952, 7576,26336, 7592,22240, + 7600,14048, 7608,30432, 7624,20192, 7632,12000, 7640,28384, 7648,7904, + 7656,24288, 7664,16096, 7672,32480, 7688,16864, 7696,8672, 7704,25056, + 7720,20960, 7728,12768, 7736,29152, 7752,18912, 7760,10720, 7768,27104, + 7784,23008, 7792,14816, 7800,31200, 7816,17888, 7824,9696, 7832,26080, + 7848,21984, 7856,13792, 7864,30176, 7880,19936, 7888,11744, 7896,28128, + 7912,24032, 7920,15840, 7928,32224, 7944,17376, 7952,9184, 7960,25568, + 7976,21472, 7984,13280, 7992,29664, 8008,19424, 8016,11232, 8024,27616, + 8040,23520, 8048,15328, 8056,31712, 8072,18400, 8080,10208, 8088,26592, + 8104,22496, 8112,14304, 8120,30688, 8136,20448, 8144,12256, 8152,28640, + 8168,24544, 8176,16352, 8184,32736, 8200,16400, 8216,24592, 8232,20496, + 8240,12304, 8248,28688, 8264,18448, 8272,10256, 8280,26640, 8296,22544, + 8304,14352, 8312,30736, 8328,17424, 8336,9232, 8344,25616, 8360,21520, + 8368,13328, 8376,29712, 8392,19472, 8400,11280, 8408,27664, 8424,23568, + 8432,15376, 8440,31760, 8456,16912, 8464,8720, 8472,25104, 8488,21008, + 8496,12816, 8504,29200, 8520,18960, 8528,10768, 8536,27152, 8552,23056, + 8560,14864, 8568,31248, 8584,17936, 8592,9744, 8600,26128, 8616,22032, + 8624,13840, 8632,30224, 8648,19984, 8656,11792, 8664,28176, 8680,24080, + 8688,15888, 8696,32272, 8712,16656, 8728,24848, 8744,20752, 8752,12560, + 8760,28944, 8776,18704, 8784,10512, 8792,26896, 8808,22800, 8816,14608, + 8824,30992, 8840,17680, 8848,9488, 8856,25872, 8872,21776, 8880,13584, + 8888,29968, 8904,19728, 8912,11536, 8920,27920, 8936,23824, 8944,15632, + 8952,32016, 8968,17168, 8984,25360, 9000,21264, 9008,13072, 9016,29456, + 9032,19216, 9040,11024, 9048,27408, 9064,23312, 9072,15120, 9080,31504, + 9096,18192, 9104,10000, 9112,26384, 9128,22288, 9136,14096, 9144,30480, + 9160,20240, 9168,12048, 9176,28432, 9192,24336, 9200,16144, 9208,32528, + 9224,16528, 9240,24720, 9256,20624, 9264,12432, 9272,28816, 9288,18576, + 9296,10384, 9304,26768, 9320,22672, 9328,14480, 9336,30864, 9352,17552, + 9368,25744, 9384,21648, 9392,13456, 9400,29840, 9416,19600, 9424,11408, + 9432,27792, 9448,23696, 9456,15504, 9464,31888, 9480,17040, 9496,25232, + 9512,21136, 9520,12944, 9528,29328, 9544,19088, 9552,10896, 9560,27280, + 9576,23184, 9584,14992, 9592,31376, 9608,18064, 9616,9872, 9624,26256, + 9640,22160, 9648,13968, 9656,30352, 9672,20112, 9680,11920, 9688,28304, + 9704,24208, 9712,16016, 9720,32400, 9736,16784, 9752,24976, 9768,20880, + 9776,12688, 9784,29072, 9800,18832, 9808,10640, 9816,27024, 9832,22928, + 9840,14736, 9848,31120, 9864,17808, 9880,26000, 9896,21904, 9904,13712, + 9912,30096, 9928,19856, 9936,11664, 9944,28048, 9960,23952, 9968,15760, + 9976,32144, 9992,17296, 10008,25488, 10024,21392, 10032,13200, 10040,29584, + 10056,19344, 10064,11152, 10072,27536, 10088,23440, 10096,15248, 10104,31632, + 10120,18320, 10136,26512, 10152,22416, 10160,14224, 10168,30608, 10184,20368, + 10192,12176, 10200,28560, 10216,24464, 10224,16272, 10232,32656, 10248,16464, + 10264,24656, 10280,20560, 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17736,19080, + 17752,27272, 17768,23176, 17784,31368, 17800,18056, 17816,26248, 17832,22152, + 17848,30344, 17864,20104, 17880,28296, 17896,24200, 17912,32392, 17944,24968, + 17960,20872, 17976,29064, 17992,18824, 18008,27016, 18024,22920, 18040,31112, + 18072,25992, 18088,21896, 18104,30088, 18120,19848, 18136,28040, 18152,23944, + 18168,32136, 18200,25480, 18216,21384, 18232,29576, 18248,19336, 18264,27528, + 18280,23432, 18296,31624, 18328,26504, 18344,22408, 18360,30600, 18376,20360, + 18392,28552, 18408,24456, 18424,32648, 18456,24648, 18472,20552, 18488,28744, + 18520,26696, 18536,22600, 18552,30792, 18584,25672, 18600,21576, 18616,29768, + 18632,19528, 18648,27720, 18664,23624, 18680,31816, 18712,25160, 18728,21064, + 18744,29256, 18760,19016, 18776,27208, 18792,23112, 18808,31304, 18840,26184, + 18856,22088, 18872,30280, 18888,20040, 18904,28232, 18920,24136, 18936,32328, + 18968,24904, 18984,20808, 19000,29000, 19032,26952, 19048,22856, 19064,31048, + 19096,25928, 19112,21832, 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27832,29912, 27896,31960, 27960,29400, 28024,31448, + 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168, + 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776, + 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312, + 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568, + 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160, + 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376, + 31480,32120, 31736,32632, 32248,32504 +}; + +/** +* \par +* Example code for Floating-point RFFT Twiddle factors Generation: +* \par +* 
TW = exp(2*pi*i*[0:L/2-1]/L - pi/2*i).'
+* \par +* Real and Imag values are in interleaved fashion +*/ +const float32_t twiddleCoef_rfft_32[32] = { +0.0f , 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, 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-0.993736722f, + 0.110222207f, -0.993906970f, + 0.108697444f, -0.994074879f, + 0.107172425f, -0.994240449f, + 0.105647154f, -0.994403680f, + 0.104121634f, -0.994564571f, + 0.102595869f, -0.994723121f, + 0.101069863f, -0.994879331f, + 0.099543619f, -0.995033199f, + 0.098017140f, -0.995184727f, + 0.096490431f, -0.995333912f, + 0.094963495f, -0.995480755f, + 0.093436336f, -0.995625256f, + 0.091908956f, -0.995767414f, + 0.090381361f, -0.995907229f, + 0.088853553f, -0.996044701f, + 0.087325535f, -0.996179829f, + 0.085797312f, -0.996312612f, + 0.084268888f, -0.996443051f, + 0.082740265f, -0.996571146f, + 0.081211447f, -0.996696895f, + 0.079682438f, -0.996820299f, + 0.078153242f, -0.996941358f, + 0.076623861f, -0.997060070f, + 0.075094301f, -0.997176437f, + 0.073564564f, -0.997290457f, + 0.072034653f, -0.997402130f, + 0.070504573f, -0.997511456f, + 0.068974328f, -0.997618435f, + 0.067443920f, -0.997723067f, + 0.065913353f, -0.997825350f, + 0.064382631f, -0.997925286f, + 0.062851758f, -0.998022874f, + 0.061320736f, -0.998118113f, + 0.059789571f, -0.998211003f, + 0.058258265f, -0.998301545f, + 0.056726821f, -0.998389737f, + 0.055195244f, -0.998475581f, + 0.053663538f, -0.998559074f, + 0.052131705f, -0.998640218f, + 0.050599749f, -0.998719012f, + 0.049067674f, -0.998795456f, + 0.047535484f, -0.998869550f, + 0.046003182f, -0.998941293f, + 0.044470772f, -0.999010686f, + 0.042938257f, -0.999077728f, + 0.041405641f, -0.999142419f, + 0.039872928f, -0.999204759f, + 0.038340120f, -0.999264747f, + 0.036807223f, -0.999322385f, + 0.035274239f, -0.999377670f, + 0.033741172f, -0.999430605f, + 0.032208025f, -0.999481187f, + 0.030674803f, -0.999529418f, + 0.029141509f, -0.999575296f, + 0.027608146f, -0.999618822f, + 0.026074718f, -0.999659997f, + 0.024541229f, -0.999698819f, + 0.023007681f, -0.999735288f, + 0.021474080f, -0.999769405f, + 0.019940429f, -0.999801170f, + 0.018406730f, -0.999830582f, + 0.016872988f, -0.999857641f, + 0.015339206f, -0.999882347f, + 0.013805389f, -0.999904701f, + 0.012271538f, -0.999924702f, + 0.010737659f, -0.999942350f, + 0.009203755f, -0.999957645f, + 0.007669829f, -0.999970586f, + 0.006135885f, -0.999981175f, + 0.004601926f, -0.999989411f, + 0.003067957f, -0.999995294f, + 0.001533980f, -0.999998823f +}; + + +/** + * \par + * Example code for the generation of the floating-point sine table: + * 
+ * tableSize = 512;    
+ * for(n = 0; n < (tableSize + 1); n++)    
+ * {    
+ *	sinTable[n]=sin(2*pi*n/tableSize);    
+ * }
+ * \par + * where pi value is 3.14159265358979 + */ + +const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1] = { + 0.00000000f, 0.01227154f, 0.02454123f, 0.03680722f, 0.04906767f, 0.06132074f, + 0.07356456f, 0.08579731f, 0.09801714f, 0.11022221f, 0.12241068f, 0.13458071f, + 0.14673047f, 0.15885814f, 0.17096189f, 0.18303989f, 0.19509032f, 0.20711138f, + 0.21910124f, 0.23105811f, 0.24298018f, 0.25486566f, 0.26671276f, 0.27851969f, + 0.29028468f, 0.30200595f, 0.31368174f, 0.32531029f, 0.33688985f, 0.34841868f, + 0.35989504f, 0.37131719f, 0.38268343f, 0.39399204f, 0.40524131f, 0.41642956f, + 0.42755509f, 0.43861624f, 0.44961133f, 0.46053871f, 0.47139674f, 0.48218377f, + 0.49289819f, 0.50353838f, 0.51410274f, 0.52458968f, 0.53499762f, 0.54532499f, + 0.55557023f, 0.56573181f, 0.57580819f, 0.58579786f, 0.59569930f, 0.60551104f, + 0.61523159f, 0.62485949f, 0.63439328f, 0.64383154f, 0.65317284f, 0.66241578f, + 0.67155895f, 0.68060100f, 0.68954054f, 0.69837625f, 0.70710678f, 0.71573083f, + 0.72424708f, 0.73265427f, 0.74095113f, 0.74913639f, 0.75720885f, 0.76516727f, + 0.77301045f, 0.78073723f, 0.78834643f, 0.79583690f, 0.80320753f, 0.81045720f, + 0.81758481f, 0.82458930f, 0.83146961f, 0.83822471f, 0.84485357f, 0.85135519f, + 0.85772861f, 0.86397286f, 0.87008699f, 0.87607009f, 0.88192126f, 0.88763962f, + 0.89322430f, 0.89867447f, 0.90398929f, 0.90916798f, 0.91420976f, 0.91911385f, + 0.92387953f, 0.92850608f, 0.93299280f, 0.93733901f, 0.94154407f, 0.94560733f, + 0.94952818f, 0.95330604f, 0.95694034f, 0.96043052f, 0.96377607f, 0.96697647f, + 0.97003125f, 0.97293995f, 0.97570213f, 0.97831737f, 0.98078528f, 0.98310549f, + 0.98527764f, 0.98730142f, 0.98917651f, 0.99090264f, 0.99247953f, 0.99390697f, + 0.99518473f, 0.99631261f, 0.99729046f, 0.99811811f, 0.99879546f, 0.99932238f, + 0.99969882f, 0.99992470f, 1.00000000f, 0.99992470f, 0.99969882f, 0.99932238f, + 0.99879546f, 0.99811811f, 0.99729046f, 0.99631261f, 0.99518473f, 0.99390697f, + 0.99247953f, 0.99090264f, 0.98917651f, 0.98730142f, 0.98527764f, 0.98310549f, + 0.98078528f, 0.97831737f, 0.97570213f, 0.97293995f, 0.97003125f, 0.96697647f, + 0.96377607f, 0.96043052f, 0.95694034f, 0.95330604f, 0.94952818f, 0.94560733f, + 0.94154407f, 0.93733901f, 0.93299280f, 0.92850608f, 0.92387953f, 0.91911385f, + 0.91420976f, 0.90916798f, 0.90398929f, 0.89867447f, 0.89322430f, 0.88763962f, + 0.88192126f, 0.87607009f, 0.87008699f, 0.86397286f, 0.85772861f, 0.85135519f, + 0.84485357f, 0.83822471f, 0.83146961f, 0.82458930f, 0.81758481f, 0.81045720f, + 0.80320753f, 0.79583690f, 0.78834643f, 0.78073723f, 0.77301045f, 0.76516727f, + 0.75720885f, 0.74913639f, 0.74095113f, 0.73265427f, 0.72424708f, 0.71573083f, + 0.70710678f, 0.69837625f, 0.68954054f, 0.68060100f, 0.67155895f, 0.66241578f, + 0.65317284f, 0.64383154f, 0.63439328f, 0.62485949f, 0.61523159f, 0.60551104f, + 0.59569930f, 0.58579786f, 0.57580819f, 0.56573181f, 0.55557023f, 0.54532499f, + 0.53499762f, 0.52458968f, 0.51410274f, 0.50353838f, 0.49289819f, 0.48218377f, + 0.47139674f, 0.46053871f, 0.44961133f, 0.43861624f, 0.42755509f, 0.41642956f, + 0.40524131f, 0.39399204f, 0.38268343f, 0.37131719f, 0.35989504f, 0.34841868f, + 0.33688985f, 0.32531029f, 0.31368174f, 0.30200595f, 0.29028468f, 0.27851969f, + 0.26671276f, 0.25486566f, 0.24298018f, 0.23105811f, 0.21910124f, 0.20711138f, + 0.19509032f, 0.18303989f, 0.17096189f, 0.15885814f, 0.14673047f, 0.13458071f, + 0.12241068f, 0.11022221f, 0.09801714f, 0.08579731f, 0.07356456f, 0.06132074f, + 0.04906767f, 0.03680722f, 0.02454123f, 0.01227154f, 0.00000000f, -0.01227154f, + -0.02454123f, -0.03680722f, -0.04906767f, -0.06132074f, -0.07356456f, + -0.08579731f, -0.09801714f, -0.11022221f, -0.12241068f, -0.13458071f, + -0.14673047f, -0.15885814f, -0.17096189f, -0.18303989f, -0.19509032f, + -0.20711138f, -0.21910124f, -0.23105811f, -0.24298018f, -0.25486566f, + -0.26671276f, -0.27851969f, -0.29028468f, -0.30200595f, -0.31368174f, + -0.32531029f, -0.33688985f, -0.34841868f, -0.35989504f, -0.37131719f, + -0.38268343f, -0.39399204f, -0.40524131f, -0.41642956f, -0.42755509f, + -0.43861624f, -0.44961133f, -0.46053871f, -0.47139674f, -0.48218377f, + -0.49289819f, -0.50353838f, -0.51410274f, -0.52458968f, -0.53499762f, + -0.54532499f, -0.55557023f, -0.56573181f, -0.57580819f, -0.58579786f, + -0.59569930f, -0.60551104f, -0.61523159f, -0.62485949f, -0.63439328f, + -0.64383154f, -0.65317284f, -0.66241578f, -0.67155895f, -0.68060100f, + -0.68954054f, -0.69837625f, -0.70710678f, -0.71573083f, -0.72424708f, + -0.73265427f, -0.74095113f, -0.74913639f, -0.75720885f, -0.76516727f, + -0.77301045f, -0.78073723f, -0.78834643f, -0.79583690f, -0.80320753f, + -0.81045720f, -0.81758481f, -0.82458930f, -0.83146961f, -0.83822471f, + -0.84485357f, -0.85135519f, -0.85772861f, -0.86397286f, -0.87008699f, + -0.87607009f, -0.88192126f, -0.88763962f, -0.89322430f, -0.89867447f, + -0.90398929f, -0.90916798f, -0.91420976f, -0.91911385f, -0.92387953f, + -0.92850608f, -0.93299280f, -0.93733901f, -0.94154407f, -0.94560733f, + -0.94952818f, -0.95330604f, -0.95694034f, -0.96043052f, -0.96377607f, + -0.96697647f, -0.97003125f, -0.97293995f, -0.97570213f, -0.97831737f, + -0.98078528f, -0.98310549f, -0.98527764f, -0.98730142f, -0.98917651f, + -0.99090264f, -0.99247953f, -0.99390697f, -0.99518473f, -0.99631261f, + -0.99729046f, -0.99811811f, -0.99879546f, -0.99932238f, -0.99969882f, + -0.99992470f, -1.00000000f, -0.99992470f, -0.99969882f, -0.99932238f, + -0.99879546f, -0.99811811f, -0.99729046f, -0.99631261f, -0.99518473f, + -0.99390697f, -0.99247953f, -0.99090264f, -0.98917651f, -0.98730142f, + -0.98527764f, -0.98310549f, -0.98078528f, -0.97831737f, -0.97570213f, + -0.97293995f, -0.97003125f, -0.96697647f, -0.96377607f, -0.96043052f, + -0.95694034f, -0.95330604f, -0.94952818f, -0.94560733f, -0.94154407f, + -0.93733901f, -0.93299280f, -0.92850608f, -0.92387953f, -0.91911385f, + -0.91420976f, -0.90916798f, -0.90398929f, -0.89867447f, -0.89322430f, + -0.88763962f, -0.88192126f, -0.87607009f, -0.87008699f, -0.86397286f, + -0.85772861f, -0.85135519f, -0.84485357f, -0.83822471f, -0.83146961f, + -0.82458930f, -0.81758481f, -0.81045720f, -0.80320753f, -0.79583690f, + -0.78834643f, -0.78073723f, -0.77301045f, -0.76516727f, -0.75720885f, + -0.74913639f, -0.74095113f, -0.73265427f, -0.72424708f, -0.71573083f, + -0.70710678f, -0.69837625f, -0.68954054f, -0.68060100f, -0.67155895f, + -0.66241578f, -0.65317284f, -0.64383154f, -0.63439328f, -0.62485949f, + -0.61523159f, -0.60551104f, -0.59569930f, -0.58579786f, -0.57580819f, + -0.56573181f, -0.55557023f, -0.54532499f, -0.53499762f, -0.52458968f, + -0.51410274f, -0.50353838f, -0.49289819f, -0.48218377f, -0.47139674f, + -0.46053871f, -0.44961133f, -0.43861624f, -0.42755509f, -0.41642956f, + -0.40524131f, -0.39399204f, -0.38268343f, -0.37131719f, -0.35989504f, + -0.34841868f, -0.33688985f, -0.32531029f, -0.31368174f, -0.30200595f, + -0.29028468f, -0.27851969f, -0.26671276f, -0.25486566f, -0.24298018f, + -0.23105811f, -0.21910124f, -0.20711138f, -0.19509032f, -0.18303989f, + -0.17096189f, -0.15885814f, -0.14673047f, -0.13458071f, -0.12241068f, + -0.11022221f, -0.09801714f, -0.08579731f, -0.07356456f, -0.06132074f, + -0.04906767f, -0.03680722f, -0.02454123f, -0.01227154f, -0.00000000f +}; + +/** + * \par + * Table values are in Q31 (1.31 fixed-point format) and generation is done in + * three steps. First, generate sin values in floating point: + * 
+ * tableSize = 512;      
+ * for(n = 0; n < (tableSize + 1); n++)    
+ * {    
+ *	sinTable[n]= sin(2*pi*n/tableSize);    
+ * }
+ * where pi value is 3.14159265358979 + * \par + * Second, convert floating-point to Q31 (Fixed point): + * (sinTable[i] * pow(2, 31)) + * \par + * Finally, round to the nearest integer value: + * sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5); + */ +const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1] = { + 0x00000000, 0x01921D20, 0x03242ABF, 0x04B6195D, 0x0647D97C, 0x07D95B9E, + 0x096A9049, 0x0AFB6805, 0x0C8BD35E, 0x0E1BC2E4, 0x0FAB272B, 0x1139F0CF, + 0x12C8106F, 0x145576B1, 0x15E21445, 0x176DD9DE, 0x18F8B83C, 0x1A82A026, + 0x1C0B826A, 0x1D934FE5, 0x1F19F97B, 0x209F701C, 0x2223A4C5, 0x23A6887F, + 0x25280C5E, 0x26A82186, 0x2826B928, 0x29A3C485, 0x2B1F34EB, 0x2C98FBBA, + 0x2E110A62, 0x2F875262, 0x30FBC54D, 0x326E54C7, 0x33DEF287, 0x354D9057, + 0x36BA2014, 0x382493B0, 0x398CDD32, 0x3AF2EEB7, 0x3C56BA70, 0x3DB832A6, + 0x3F1749B8, 0x4073F21D, 0x41CE1E65, 0x4325C135, 0x447ACD50, 0x45CD358F, + 0x471CECE7, 0x4869E665, 0x49B41533, 0x4AFB6C98, 0x4C3FDFF4, 0x4D8162C4, + 0x4EBFE8A5, 0x4FFB654D, 0x5133CC94, 0x5269126E, 0x539B2AF0, 0x54CA0A4B, + 0x55F5A4D2, 0x571DEEFA, 0x5842DD54, 0x59646498, 0x5A82799A, 0x5B9D1154, + 0x5CB420E0, 0x5DC79D7C, 0x5ED77C8A, 0x5FE3B38D, 0x60EC3830, 0x61F1003F, + 0x62F201AC, 0x63EF3290, 0x64E88926, 0x65DDFBD3, 0x66CF8120, 0x67BD0FBD, + 0x68A69E81, 0x698C246C, 0x6A6D98A4, 0x6B4AF279, 0x6C242960, 0x6CF934FC, + 0x6DCA0D14, 0x6E96A99D, 0x6F5F02B2, 0x7023109A, 0x70E2CBC6, 0x719E2CD2, + 0x72552C85, 0x7307C3D0, 0x73B5EBD1, 0x745F9DD1, 0x7504D345, 0x75A585CF, + 0x7641AF3D, 0x76D94989, 0x776C4EDB, 0x77FAB989, 0x78848414, 0x7909A92D, + 0x798A23B1, 0x7A05EEAD, 0x7A7D055B, 0x7AEF6323, 0x7B5D039E, 0x7BC5E290, + 0x7C29FBEE, 0x7C894BDE, 0x7CE3CEB2, 0x7D3980EC, 0x7D8A5F40, 0x7DD6668F, + 0x7E1D93EA, 0x7E5FE493, 0x7E9D55FC, 0x7ED5E5C6, 0x7F0991C4, 0x7F3857F6, + 0x7F62368F, 0x7F872BF3, 0x7FA736B4, 0x7FC25596, 0x7FD8878E, 0x7FE9CBC0, + 0x7FF62182, 0x7FFD885A, 0x7FFFFFFF, 0x7FFD885A, 0x7FF62182, 0x7FE9CBC0, + 0x7FD8878E, 0x7FC25596, 0x7FA736B4, 0x7F872BF3, 0x7F62368F, 0x7F3857F6, + 0x7F0991C4, 0x7ED5E5C6, 0x7E9D55FC, 0x7E5FE493, 0x7E1D93EA, 0x7DD6668F, + 0x7D8A5F40, 0x7D3980EC, 0x7CE3CEB2, 0x7C894BDE, 0x7C29FBEE, 0x7BC5E290, + 0x7B5D039E, 0x7AEF6323, 0x7A7D055B, 0x7A05EEAD, 0x798A23B1, 0x7909A92D, + 0x78848414, 0x77FAB989, 0x776C4EDB, 0x76D94989, 0x7641AF3D, 0x75A585CF, + 0x7504D345, 0x745F9DD1, 0x73B5EBD1, 0x7307C3D0, 0x72552C85, 0x719E2CD2, + 0x70E2CBC6, 0x7023109A, 0x6F5F02B2, 0x6E96A99D, 0x6DCA0D14, 0x6CF934FC, + 0x6C242960, 0x6B4AF279, 0x6A6D98A4, 0x698C246C, 0x68A69E81, 0x67BD0FBD, + 0x66CF8120, 0x65DDFBD3, 0x64E88926, 0x63EF3290, 0x62F201AC, 0x61F1003F, + 0x60EC3830, 0x5FE3B38D, 0x5ED77C8A, 0x5DC79D7C, 0x5CB420E0, 0x5B9D1154, + 0x5A82799A, 0x59646498, 0x5842DD54, 0x571DEEFA, 0x55F5A4D2, 0x54CA0A4B, + 0x539B2AF0, 0x5269126E, 0x5133CC94, 0x4FFB654D, 0x4EBFE8A5, 0x4D8162C4, + 0x4C3FDFF4, 0x4AFB6C98, 0x49B41533, 0x4869E665, 0x471CECE7, 0x45CD358F, + 0x447ACD50, 0x4325C135, 0x41CE1E65, 0x4073F21D, 0x3F1749B8, 0x3DB832A6, + 0x3C56BA70, 0x3AF2EEB7, 0x398CDD32, 0x382493B0, 0x36BA2014, 0x354D9057, + 0x33DEF287, 0x326E54C7, 0x30FBC54D, 0x2F875262, 0x2E110A62, 0x2C98FBBA, + 0x2B1F34EB, 0x29A3C485, 0x2826B928, 0x26A82186, 0x25280C5E, 0x23A6887F, + 0x2223A4C5, 0x209F701C, 0x1F19F97B, 0x1D934FE5, 0x1C0B826A, 0x1A82A026, + 0x18F8B83C, 0x176DD9DE, 0x15E21445, 0x145576B1, 0x12C8106F, 0x1139F0CF, + 0x0FAB272B, 0x0E1BC2E4, 0x0C8BD35E, 0x0AFB6805, 0x096A9049, 0x07D95B9E, + 0x0647D97C, 0x04B6195D, 0x03242ABF, 0x01921D20, 0x00000000, 0xFE6DE2E0, + 0xFCDBD541, 0xFB49E6A3, 0xF9B82684, 0xF826A462, 0xF6956FB7, 0xF50497FB, + 0xF3742CA2, 0xF1E43D1C, 0xF054D8D5, 0xEEC60F31, 0xED37EF91, 0xEBAA894F, + 0xEA1DEBBB, 0xE8922622, 0xE70747C4, 0xE57D5FDA, 0xE3F47D96, 0xE26CB01B, + 0xE0E60685, 0xDF608FE4, 0xDDDC5B3B, 0xDC597781, 0xDAD7F3A2, 0xD957DE7A, + 0xD7D946D8, 0xD65C3B7B, 0xD4E0CB15, 0xD3670446, 0xD1EEF59E, 0xD078AD9E, + 0xCF043AB3, 0xCD91AB39, 0xCC210D79, 0xCAB26FA9, 0xC945DFEC, 0xC7DB6C50, + 0xC67322CE, 0xC50D1149, 0xC3A94590, 0xC247CD5A, 0xC0E8B648, 0xBF8C0DE3, + 0xBE31E19B, 0xBCDA3ECB, 0xBB8532B0, 0xBA32CA71, 0xB8E31319, 0xB796199B, + 0xB64BEACD, 0xB5049368, 0xB3C0200C, 0xB27E9D3C, 0xB140175B, 0xB0049AB3, + 0xAECC336C, 0xAD96ED92, 0xAC64D510, 0xAB35F5B5, 0xAA0A5B2E, 0xA8E21106, + 0xA7BD22AC, 0xA69B9B68, 0xA57D8666, 0xA462EEAC, 0xA34BDF20, 0xA2386284, + 0xA1288376, 0xA01C4C73, 0x9F13C7D0, 0x9E0EFFC1, 0x9D0DFE54, 0x9C10CD70, + 0x9B1776DA, 0x9A22042D, 0x99307EE0, 0x9842F043, 0x9759617F, 0x9673DB94, + 0x9592675C, 0x94B50D87, 0x93DBD6A0, 0x9306CB04, 0x9235F2EC, 0x91695663, + 0x90A0FD4E, 0x8FDCEF66, 0x8F1D343A, 0x8E61D32E, 0x8DAAD37B, 0x8CF83C30, + 0x8C4A142F, 0x8BA0622F, 0x8AFB2CBB, 0x8A5A7A31, 0x89BE50C3, 0x8926B677, + 0x8893B125, 0x88054677, 0x877B7BEC, 0x86F656D3, 0x8675DC4F, 0x85FA1153, + 0x8582FAA5, 0x85109CDD, 0x84A2FC62, 0x843A1D70, 0x83D60412, 0x8376B422, + 0x831C314E, 0x82C67F14, 0x8275A0C0, 0x82299971, 0x81E26C16, 0x81A01B6D, + 0x8162AA04, 0x812A1A3A, 0x80F66E3C, 0x80C7A80A, 0x809DC971, 0x8078D40D, + 0x8058C94C, 0x803DAA6A, 0x80277872, 0x80163440, 0x8009DE7E, 0x800277A6, + 0x80000000, 0x800277A6, 0x8009DE7E, 0x80163440, 0x80277872, 0x803DAA6A, + 0x8058C94C, 0x8078D40D, 0x809DC971, 0x80C7A80A, 0x80F66E3C, 0x812A1A3A, + 0x8162AA04, 0x81A01B6D, 0x81E26C16, 0x82299971, 0x8275A0C0, 0x82C67F14, + 0x831C314E, 0x8376B422, 0x83D60412, 0x843A1D70, 0x84A2FC62, 0x85109CDD, + 0x8582FAA5, 0x85FA1153, 0x8675DC4F, 0x86F656D3, 0x877B7BEC, 0x88054677, + 0x8893B125, 0x8926B677, 0x89BE50C3, 0x8A5A7A31, 0x8AFB2CBB, 0x8BA0622F, + 0x8C4A142F, 0x8CF83C30, 0x8DAAD37B, 0x8E61D32E, 0x8F1D343A, 0x8FDCEF66, + 0x90A0FD4E, 0x91695663, 0x9235F2EC, 0x9306CB04, 0x93DBD6A0, 0x94B50D87, + 0x9592675C, 0x9673DB94, 0x9759617F, 0x9842F043, 0x99307EE0, 0x9A22042D, + 0x9B1776DA, 0x9C10CD70, 0x9D0DFE54, 0x9E0EFFC1, 0x9F13C7D0, 0xA01C4C73, + 0xA1288376, 0xA2386284, 0xA34BDF20, 0xA462EEAC, 0xA57D8666, 0xA69B9B68, + 0xA7BD22AC, 0xA8E21106, 0xAA0A5B2E, 0xAB35F5B5, 0xAC64D510, 0xAD96ED92, + 0xAECC336C, 0xB0049AB3, 0xB140175B, 0xB27E9D3C, 0xB3C0200C, 0xB5049368, + 0xB64BEACD, 0xB796199B, 0xB8E31319, 0xBA32CA71, 0xBB8532B0, 0xBCDA3ECB, + 0xBE31E19B, 0xBF8C0DE3, 0xC0E8B648, 0xC247CD5A, 0xC3A94590, 0xC50D1149, + 0xC67322CE, 0xC7DB6C50, 0xC945DFEC, 0xCAB26FA9, 0xCC210D79, 0xCD91AB39, + 0xCF043AB3, 0xD078AD9E, 0xD1EEF59E, 0xD3670446, 0xD4E0CB15, 0xD65C3B7B, + 0xD7D946D8, 0xD957DE7A, 0xDAD7F3A2, 0xDC597781, 0xDDDC5B3B, 0xDF608FE4, + 0xE0E60685, 0xE26CB01B, 0xE3F47D96, 0xE57D5FDA, 0xE70747C4, 0xE8922622, + 0xEA1DEBBB, 0xEBAA894F, 0xED37EF91, 0xEEC60F31, 0xF054D8D5, 0xF1E43D1C, + 0xF3742CA2, 0xF50497FB, 0xF6956FB7, 0xF826A462, 0xF9B82684, 0xFB49E6A3, + 0xFCDBD541, 0xFE6DE2E0, 0x00000000 +}; + +/** + * \par + * Table values are in Q15 (1.15 fixed-point format) and generation is done in + * three steps. First, generate sin values in floating point: + * 
+ * tableSize = 512;      
+ * for(n = 0; n < (tableSize + 1); n++)    
+ * {    
+ *	sinTable[n]= sin(2*pi*n/tableSize);    
+ * }
+ * where pi value is 3.14159265358979 + * \par + * Second, convert floating-point to Q15 (Fixed point): + * (sinTable[i] * pow(2, 15)) + * \par + * Finally, round to the nearest integer value: + * sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5); + */ +const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1] = { + 0x0000, 0x0192, 0x0324, 0x04B6, 0x0648, 0x07D9, 0x096B, 0x0AFB, 0x0C8C, 0x0E1C, 0x0FAB, 0x113A, 0x12C8, + 0x1455, 0x15E2, 0x176E, 0x18F9, 0x1A83, 0x1C0C, 0x1D93, 0x1F1A, 0x209F, 0x2224, 0x23A7, 0x2528, 0x26A8, + 0x2827, 0x29A4, 0x2B1F, 0x2C99, 0x2E11, 0x2F87, 0x30FC, 0x326E, 0x33DF, 0x354E, 0x36BA, 0x3825, 0x398D, + 0x3AF3, 0x3C57, 0x3DB8, 0x3F17, 0x4074, 0x41CE, 0x4326, 0x447B, 0x45CD, 0x471D, 0x486A, 0x49B4, 0x4AFB, + 0x4C40, 0x4D81, 0x4EC0, 0x4FFB, 0x5134, 0x5269, 0x539B, 0x54CA, 0x55F6, 0x571E, 0x5843, 0x5964, 0x5A82, + 0x5B9D, 0x5CB4, 0x5DC8, 0x5ED7, 0x5FE4, 0x60EC, 0x61F1, 0x62F2, 0x63EF, 0x64E9, 0x65DE, 0x66D0, 0x67BD, + 0x68A7, 0x698C, 0x6A6E, 0x6B4B, 0x6C24, 0x6CF9, 0x6DCA, 0x6E97, 0x6F5F, 0x7023, 0x70E3, 0x719E, 0x7255, + 0x7308, 0x73B6, 0x7460, 0x7505, 0x75A6, 0x7642, 0x76D9, 0x776C, 0x77FB, 0x7885, 0x790A, 0x798A, 0x7A06, + 0x7A7D, 0x7AEF, 0x7B5D, 0x7BC6, 0x7C2A, 0x7C89, 0x7CE4, 0x7D3A, 0x7D8A, 0x7DD6, 0x7E1E, 0x7E60, 0x7E9D, + 0x7ED6, 0x7F0A, 0x7F38, 0x7F62, 0x7F87, 0x7FA7, 0x7FC2, 0x7FD9, 0x7FEA, 0x7FF6, 0x7FFE, 0x7FFF, 0x7FFE, + 0x7FF6, 0x7FEA, 0x7FD9, 0x7FC2, 0x7FA7, 0x7F87, 0x7F62, 0x7F38, 0x7F0A, 0x7ED6, 0x7E9D, 0x7E60, 0x7E1E, + 0x7DD6, 0x7D8A, 0x7D3A, 0x7CE4, 0x7C89, 0x7C2A, 0x7BC6, 0x7B5D, 0x7AEF, 0x7A7D, 0x7A06, 0x798A, 0x790A, + 0x7885, 0x77FB, 0x776C, 0x76D9, 0x7642, 0x75A6, 0x7505, 0x7460, 0x73B6, 0x7308, 0x7255, 0x719E, 0x70E3, + 0x7023, 0x6F5F, 0x6E97, 0x6DCA, 0x6CF9, 0x6C24, 0x6B4B, 0x6A6E, 0x698C, 0x68A7, 0x67BD, 0x66D0, 0x65DE, + 0x64E9, 0x63EF, 0x62F2, 0x61F1, 0x60EC, 0x5FE4, 0x5ED7, 0x5DC8, 0x5CB4, 0x5B9D, 0x5A82, 0x5964, 0x5843, + 0x571E, 0x55F6, 0x54CA, 0x539B, 0x5269, 0x5134, 0x4FFB, 0x4EC0, 0x4D81, 0x4C40, 0x4AFB, 0x49B4, 0x486A, + 0x471D, 0x45CD, 0x447B, 0x4326, 0x41CE, 0x4074, 0x3F17, 0x3DB8, 0x3C57, 0x3AF3, 0x398D, 0x3825, 0x36BA, + 0x354E, 0x33DF, 0x326E, 0x30FC, 0x2F87, 0x2E11, 0x2C99, 0x2B1F, 0x29A4, 0x2827, 0x26A8, 0x2528, 0x23A7, + 0x2224, 0x209F, 0x1F1A, 0x1D93, 0x1C0C, 0x1A83, 0x18F9, 0x176E, 0x15E2, 0x1455, 0x12C8, 0x113A, 0x0FAB, + 0x0E1C, 0x0C8C, 0x0AFB, 0x096B, 0x07D9, 0x0648, 0x04B6, 0x0324, 0x0192, 0x0000, 0xFE6E, 0xFCDC, 0xFB4A, + 0xF9B8, 0xF827, 0xF695, 0xF505, 0xF374, 0xF1E4, 0xF055, 0xEEC6, 0xED38, 0xEBAB, 0xEA1E, 0xE892, 0xE707, + 0xE57D, 0xE3F4, 0xE26D, 0xE0E6, 0xDF61, 0xDDDC, 0xDC59, 0xDAD8, 0xD958, 0xD7D9, 0xD65C, 0xD4E1, 0xD367, + 0xD1EF, 0xD079, 0xCF04, 0xCD92, 0xCC21, 0xCAB2, 0xC946, 0xC7DB, 0xC673, 0xC50D, 0xC3A9, 0xC248, 0xC0E9, + 0xBF8C, 0xBE32, 0xBCDA, 0xBB85, 0xBA33, 0xB8E3, 0xB796, 0xB64C, 0xB505, 0xB3C0, 0xB27F, 0xB140, 0xB005, + 0xAECC, 0xAD97, 0xAC65, 0xAB36, 0xAA0A, 0xA8E2, 0xA7BD, 0xA69C, 0xA57E, 0xA463, 0xA34C, 0xA238, 0xA129, + 0xA01C, 0x9F14, 0x9E0F, 0x9D0E, 0x9C11, 0x9B17, 0x9A22, 0x9930, 0x9843, 0x9759, 0x9674, 0x9592, 0x94B5, + 0x93DC, 0x9307, 0x9236, 0x9169, 0x90A1, 0x8FDD, 0x8F1D, 0x8E62, 0x8DAB, 0x8CF8, 0x8C4A, 0x8BA0, 0x8AFB, + 0x8A5A, 0x89BE, 0x8927, 0x8894, 0x8805, 0x877B, 0x86F6, 0x8676, 0x85FA, 0x8583, 0x8511, 0x84A3, 0x843A, + 0x83D6, 0x8377, 0x831C, 0x82C6, 0x8276, 0x822A, 0x81E2, 0x81A0, 0x8163, 0x812A, 0x80F6, 0x80C8, 0x809E, + 0x8079, 0x8059, 0x803E, 0x8027, 0x8016, 0x800A, 0x8002, 0x8000, 0x8002, 0x800A, 0x8016, 0x8027, 0x803E, + 0x8059, 0x8079, 0x809E, 0x80C8, 0x80F6, 0x812A, 0x8163, 0x81A0, 0x81E2, 0x822A, 0x8276, 0x82C6, 0x831C, + 0x8377, 0x83D6, 0x843A, 0x84A3, 0x8511, 0x8583, 0x85FA, 0x8676, 0x86F6, 0x877B, 0x8805, 0x8894, 0x8927, + 0x89BE, 0x8A5A, 0x8AFB, 0x8BA0, 0x8C4A, 0x8CF8, 0x8DAB, 0x8E62, 0x8F1D, 0x8FDD, 0x90A1, 0x9169, 0x9236, + 0x9307, 0x93DC, 0x94B5, 0x9592, 0x9674, 0x9759, 0x9843, 0x9930, 0x9A22, 0x9B17, 0x9C11, 0x9D0E, 0x9E0F, + 0x9F14, 0xA01C, 0xA129, 0xA238, 0xA34C, 0xA463, 0xA57E, 0xA69C, 0xA7BD, 0xA8E2, 0xAA0A, 0xAB36, 0xAC65, + 0xAD97, 0xAECC, 0xB005, 0xB140, 0xB27F, 0xB3C0, 0xB505, 0xB64C, 0xB796, 0xB8E3, 0xBA33, 0xBB85, 0xBCDA, + 0xBE32, 0xBF8C, 0xC0E9, 0xC248, 0xC3A9, 0xC50D, 0xC673, 0xC7DB, 0xC946, 0xCAB2, 0xCC21, 0xCD92, 0xCF04, + 0xD079, 0xD1EF, 0xD367, 0xD4E1, 0xD65C, 0xD7D9, 0xD958, 0xDAD8, 0xDC59, 0xDDDC, 0xDF61, 0xE0E6, 0xE26D, + 0xE3F4, 0xE57D, 0xE707, 0xE892, 0xEA1E, 0xEBAB, 0xED38, 0xEEC6, 0xF055, 0xF1E4, 0xF374, 0xF505, 0xF695, + 0xF827, 0xF9B8, 0xFB4A, 0xFCDC, 0xFE6E, 0x0000 +}; diff --git a/src/bsp/arm_common_tables.h b/src/bsp/arm_common_tables.h new file mode 100644 index 0000000..911ecd4 --- /dev/null +++ b/src/bsp/arm_common_tables.h @@ -0,0 +1,136 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2014 ARM Limited. All rights reserved. +* +* $Date: 19. March 2015 +* $Revision: V.1.4.5 +* +* Project: CMSIS DSP Library +* Title: arm_common_tables.h +* +* Description: This file has extern declaration for common tables like Bitreverse, reciprocal etc which are used across different functions +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +#ifndef _ARM_COMMON_TABLES_H +#define _ARM_COMMON_TABLES_H + +#include "arm_math.h" + +extern const uint16_t armBitRevTable[1024]; +extern const q15_t armRecipTableQ15[64]; +extern const q31_t armRecipTableQ31[64]; +//extern const q31_t realCoefAQ31[1024]; +//extern const q31_t realCoefBQ31[1024]; +extern const float32_t twiddleCoef_16[32]; +extern const float32_t twiddleCoef_32[64]; +extern const float32_t twiddleCoef_64[128]; +extern const float32_t twiddleCoef_128[256]; +extern const float32_t twiddleCoef_256[512]; +extern const float32_t twiddleCoef_512[1024]; +extern const float32_t twiddleCoef_1024[2048]; +extern const float32_t twiddleCoef_2048[4096]; +extern const float32_t twiddleCoef_4096[8192]; +#define twiddleCoef twiddleCoef_4096 +extern const q31_t twiddleCoef_16_q31[24]; +extern const q31_t twiddleCoef_32_q31[48]; +extern const q31_t twiddleCoef_64_q31[96]; +extern const q31_t twiddleCoef_128_q31[192]; +extern const q31_t twiddleCoef_256_q31[384]; +extern const q31_t twiddleCoef_512_q31[768]; +extern const q31_t twiddleCoef_1024_q31[1536]; +extern const q31_t twiddleCoef_2048_q31[3072]; +extern const q31_t twiddleCoef_4096_q31[6144]; +extern const q15_t twiddleCoef_16_q15[24]; +extern const q15_t twiddleCoef_32_q15[48]; +extern const q15_t twiddleCoef_64_q15[96]; +extern const q15_t twiddleCoef_128_q15[192]; +extern const q15_t twiddleCoef_256_q15[384]; +extern const q15_t twiddleCoef_512_q15[768]; +extern const q15_t twiddleCoef_1024_q15[1536]; +extern const q15_t twiddleCoef_2048_q15[3072]; +extern const q15_t twiddleCoef_4096_q15[6144]; +extern const float32_t twiddleCoef_rfft_32[32]; +extern const float32_t twiddleCoef_rfft_64[64]; +extern const float32_t twiddleCoef_rfft_128[128]; +extern const float32_t twiddleCoef_rfft_256[256]; +extern const float32_t twiddleCoef_rfft_512[512]; +extern const float32_t twiddleCoef_rfft_1024[1024]; +extern const float32_t twiddleCoef_rfft_2048[2048]; +extern const float32_t twiddleCoef_rfft_4096[4096]; + + +/* floating-point bit reversal tables */ +#define ARMBITREVINDEXTABLE__16_TABLE_LENGTH ((uint16_t)20 ) +#define ARMBITREVINDEXTABLE__32_TABLE_LENGTH ((uint16_t)48 ) +#define ARMBITREVINDEXTABLE__64_TABLE_LENGTH ((uint16_t)56 ) +#define ARMBITREVINDEXTABLE_128_TABLE_LENGTH ((uint16_t)208 ) +#define ARMBITREVINDEXTABLE_256_TABLE_LENGTH ((uint16_t)440 ) +#define ARMBITREVINDEXTABLE_512_TABLE_LENGTH ((uint16_t)448 ) +#define ARMBITREVINDEXTABLE1024_TABLE_LENGTH ((uint16_t)1800) +#define ARMBITREVINDEXTABLE2048_TABLE_LENGTH ((uint16_t)3808) +#define ARMBITREVINDEXTABLE4096_TABLE_LENGTH ((uint16_t)4032) + +extern const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE__16_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE__32_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE__64_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE1024_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE2048_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE4096_TABLE_LENGTH]; + +/* fixed-point bit reversal tables */ +#define ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH ((uint16_t)12 ) +#define ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH ((uint16_t)24 ) +#define ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH ((uint16_t)56 ) +#define ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH ((uint16_t)112 ) +#define ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH ((uint16_t)240 ) +#define ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH ((uint16_t)480 ) +#define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992 ) +#define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984) +#define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032) + +extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH]; +extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH]; + +/* Tables for Fast Math Sine and Cosine */ +extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1]; +extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1]; +extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1]; + +#endif /* ARM_COMMON_TABLES_H */ diff --git a/src/bsp/arm_cos_f32.c b/src/bsp/arm_cos_f32.c new file mode 100644 index 0000000..a12dd14 --- /dev/null +++ b/src/bsp/arm_cos_f32.c @@ -0,0 +1,138 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2014 ARM Limited. All rights reserved. +* +* $Date: 19. March 2015 +* $Revision: V.1.4.5 +* +* Project: CMSIS DSP Library +* Title: arm_cos_f32.c +* +* Description: Fast cosine calculation for floating-point values. +* +* 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 groupFastMath + */ + +/** + * @defgroup cos Cosine + * + * Computes the trigonometric cosine function using a combination of table lookup + * and cubic interpolation. There are separate functions for + * Q15, Q31, and floating-point data types. + * The input to the floating-point version is in radians while the + * fixed-point Q15 and Q31 have a scaled input with the range + * [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a + * value of 2*pi wraps around to 0. + * + * The implementation is based on table lookup using 256 values together with cubic interpolation. + * The steps used are: + * -# Calculation of the nearest integer table index + * -# Fetch the four table values a, b, c, and d + * -# Compute the fractional portion (fract) of the table index. + * -# Calculation of wa, wb, wc, wd + * -# The final result equals a*wa + b*wb + c*wc + d*wd + * + * where + * 
    
+ *    a=Table[index-1];    
+ *    b=Table[index+0];    
+ *    c=Table[index+1];    
+ *    d=Table[index+2];    
+ *
+ * and + * 
    
+ *    wa=-(1/6)*fract.^3 + (1/2)*fract.^2 - (1/3)*fract;    
+ *    wb=(1/2)*fract.^3 - fract.^2 - (1/2)*fract + 1;    
+ *    wc=-(1/2)*fract.^3+(1/2)*fract.^2+fract;    
+ *    wd=(1/6)*fract.^3 - (1/6)*fract;    
+ *
+ */ + + /** + * @addtogroup cos + * @{ + */ + +/** + * @brief Fast approximation to the trigonometric cosine function for floating-point data. + * @param[in] x input value in radians. + * @return cos(x). + */ + +float32_t arm_cos_f32( + float32_t x) +{ + float32_t cosVal, fract, in; /* Temporary variables for input, output */ + uint16_t index; /* Index variable */ + float32_t a, b; /* Two nearest output values */ + int32_t n; + float32_t findex; + + /* input x is in radians */ + /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi, add 0.25 (pi/2) to read sine table */ + in = x * 0.159154943092f + 0.25f; + + /* Calculation of floor value of input */ + n = (int32_t) in; + + /* Make negative values towards -infinity */ + if(in < 0.0f) + { + n--; + } + + /* Map input value to [0 1] */ + in = in - (float32_t) n; + + /* Calculation of index of the table */ + findex = (float32_t) FAST_MATH_TABLE_SIZE * in; + index = ((uint16_t)findex) & 0x1ff; + + /* fractional value calculation */ + fract = findex - (float32_t) index; + + /* Read two nearest values of input value from the cos table */ + a = sinTable_f32[index]; + b = sinTable_f32[index+1]; + + /* Linear interpolation process */ + cosVal = (1.0f-fract)*a + fract*b; + + /* Return the output value */ + return (cosVal); +} + +/** + * @} end of cos group + */ diff --git a/src/bsp/arm_math.h b/src/bsp/arm_math.h new file mode 100644 index 0000000..6dd430d --- /dev/null +++ b/src/bsp/arm_math.h @@ -0,0 +1,7556 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2015 ARM Limited. All rights reserved. +* +* $Date: 19. March 2015 +* $Revision: V.1.4.5 +* +* Project: CMSIS DSP Library +* Title: arm_math.h +* +* Description: Public header file for CMSIS DSP Library +* +* Target Processor: Cortex-M7/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. + * -------------------------------------------------------------------- */ + +/** + \mainpage CMSIS DSP Software Library + * + * Introduction + * ------------ + * + * This user manual describes the CMSIS DSP software library, + * a suite of common signal processing functions for use on Cortex-M processor based devices. + * + * The library is divided into a number of functions each covering a specific category: + * - Basic math functions + * - Fast math functions + * - Complex math functions + * - Filters + * - Matrix functions + * - Transforms + * - Motor control functions + * - Statistical functions + * - Support functions + * - Interpolation functions + * + * The library has separate functions for operating on 8-bit integers, 16-bit integers, + * 32-bit integer and 32-bit floating-point values. + * + * Using the Library + * ------------ + * + * The library installer contains prebuilt versions of the libraries in the Lib folder. + * - arm_cortexM7lfdp_math.lib (Little endian and Double Precision Floating Point Unit on Cortex-M7) + * - arm_cortexM7bfdp_math.lib (Big endian and Double Precision Floating Point Unit on Cortex-M7) + * - arm_cortexM7lfsp_math.lib (Little endian and Single Precision Floating Point Unit on Cortex-M7) + * - arm_cortexM7bfsp_math.lib (Big endian and Single Precision Floating Point Unit on Cortex-M7) + * - arm_cortexM7l_math.lib (Little endian on Cortex-M7) + * - arm_cortexM7b_math.lib (Big endian on Cortex-M7) + * - arm_cortexM4lf_math.lib (Little endian and Floating Point Unit on Cortex-M4) + * - arm_cortexM4bf_math.lib (Big endian and Floating Point Unit on Cortex-M4) + * - arm_cortexM4l_math.lib (Little endian on Cortex-M4) + * - arm_cortexM4b_math.lib (Big endian on Cortex-M4) + * - arm_cortexM3l_math.lib (Little endian on Cortex-M3) + * - arm_cortexM3b_math.lib (Big endian on Cortex-M3) + * - arm_cortexM0l_math.lib (Little endian on Cortex-M0 / CortexM0+) + * - arm_cortexM0b_math.lib (Big endian on Cortex-M0 / CortexM0+) + * + * The library functions are declared in the public file arm_math.h which is placed in the Include folder. + * Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single + * public header file arm_math.h for Cortex-M7/M4/M3/M0/M0+ with little endian and big endian. Same header file will be used for floating point unit(FPU) variants. + * Define the appropriate pre processor MACRO ARM_MATH_CM7 or ARM_MATH_CM4 or ARM_MATH_CM3 or + * ARM_MATH_CM0 or ARM_MATH_CM0PLUS depending on the target processor in the application. + * + * Examples + * -------- + * + * The library ships with a number of examples which demonstrate how to use the library functions. + * + * Toolchain Support + * ------------ + * + * The library has been developed and tested with MDK-ARM version 5.14.0.0 + * The library is being tested in GCC and IAR toolchains and updates on this activity will be made available shortly. + * + * Building the Library + * ------------ + * + * The library installer contains a project file to re build libraries on MDK-ARM Tool chain in the CMSIS\\DSP_Lib\\Source\\ARM folder. + * - arm_cortexM_math.uvprojx + * + * + * The libraries can be built by opening the arm_cortexM_math.uvprojx project in MDK-ARM, selecting a specific target, and defining the optional pre processor MACROs detailed above. + * + * Pre-processor Macros + * ------------ + * + * Each library project have differant pre-processor macros. + * + * - UNALIGNED_SUPPORT_DISABLE: + * + * Define macro UNALIGNED_SUPPORT_DISABLE, If the silicon does not support unaligned memory access + * + * - ARM_MATH_BIG_ENDIAN: + * + * Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets. + * + * - ARM_MATH_MATRIX_CHECK: + * + * Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices + * + * - ARM_MATH_ROUNDING: + * + * Define macro ARM_MATH_ROUNDING for rounding on support functions + * + * - ARM_MATH_CMx: + * + * Define macro ARM_MATH_CM4 for building the library on Cortex-M4 target, ARM_MATH_CM3 for building library on Cortex-M3 target + * and ARM_MATH_CM0 for building library on Cortex-M0 target, ARM_MATH_CM0PLUS for building library on Cortex-M0+ target, and + * ARM_MATH_CM7 for building the library on cortex-M7. + * + * - __FPU_PRESENT: + * + * Initialize macro __FPU_PRESENT = 1 when building on FPU supported Targets. Enable this macro for M4bf and M4lf libraries + * + *
+ * CMSIS-DSP in ARM::CMSIS Pack + * ----------------------------- + * + * The following files relevant to CMSIS-DSP are present in the ARM::CMSIS Pack directories: + * |File/Folder |Content | + * |------------------------------|------------------------------------------------------------------------| + * |\b CMSIS\\Documentation\\DSP | This documentation | + * |\b CMSIS\\DSP_Lib | Software license agreement (license.txt) | + * |\b CMSIS\\DSP_Lib\\Examples | Example projects demonstrating the usage of the library functions | + * |\b CMSIS\\DSP_Lib\\Source | Source files for rebuilding the library | + * + *
+ * Revision History of CMSIS-DSP + * ------------ + * Please refer to \ref ChangeLog_pg. + * + * Copyright Notice + * ------------ + * + * Copyright (C) 2010-2015 ARM Limited. All rights reserved. + */ + + +/** + * @defgroup groupMath Basic Math Functions + */ + +/** + * @defgroup groupFastMath Fast Math Functions + * This set of functions provides a fast approximation to sine, cosine, and square root. + * As compared to most of the other functions in the CMSIS math library, the fast math functions + * operate on individual values and not arrays. + * There are separate functions for Q15, Q31, and floating-point data. + * + */ + +/** + * @defgroup groupCmplxMath Complex Math Functions + * This set of functions operates on complex data vectors. + * The data in the complex arrays is stored in an interleaved fashion + * (real, imag, real, imag, ...). + * In the API functions, the number of samples in a complex array refers + * to the number of complex values; the array contains twice this number of + * real values. + */ + +/** + * @defgroup groupFilters Filtering Functions + */ + +/** + * @defgroup groupMatrix Matrix Functions + * + * This set of functions provides basic matrix math operations. + * The functions operate on matrix data structures. For example, + * the type + * definition for the floating-point matrix structure is shown + * below: + * 
+ *     typedef struct
+ *     {
+ *       uint16_t numRows;     // number of rows of the matrix.
+ *       uint16_t numCols;     // number of columns of the matrix.
+ *       float32_t *pData;     // points to the data of the matrix.
+ *     } arm_matrix_instance_f32;
+ *
+ * There are similar definitions for Q15 and Q31 data types. + * + * The structure specifies the size of the matrix and then points to + * an array of data. The array is of size numRows X numCols + * and the values are arranged in row order. That is, the + * matrix element (i, j) is stored at: + * 
+ *     pData[i*numCols + j]
+ *
+ * + * \par Init Functions + * There is an associated initialization function for each type of matrix + * data structure. + * The initialization function sets the values of the internal structure fields. + * Refer to the function arm_mat_init_f32(), arm_mat_init_q31() + * and arm_mat_init_q15() for floating-point, Q31 and Q15 types, respectively. + * + * \par + * Use of the initialization function is optional. However, if initialization function is used + * then the instance structure cannot be placed into a const data section. + * To place the instance structure in a const data + * section, manually initialize the data structure. For example: + * 
+ * arm_matrix_instance_f32 S = {nRows, nColumns, pData};
+ * arm_matrix_instance_q31 S = {nRows, nColumns, pData};
+ * arm_matrix_instance_q15 S = {nRows, nColumns, pData};
+ *
+ * where nRows specifies the number of rows, nColumns + * specifies the number of columns, and pData points to the + * data array. + * + * \par Size Checking + * By default all of the matrix functions perform size checking on the input and + * output matrices. For example, the matrix addition function verifies that the + * two input matrices and the output matrix all have the same number of rows and + * columns. If the size check fails the functions return: + * 
+ *     ARM_MATH_SIZE_MISMATCH
+ *
+ * Otherwise the functions return + * 
+ *     ARM_MATH_SUCCESS
+ *
+ * There is some overhead associated with this matrix size checking. + * The matrix size checking is enabled via the \#define + * 
+ *     ARM_MATH_MATRIX_CHECK
+ *
+ * within the library project settings. By default this macro is defined + * and size checking is enabled. By changing the project settings and + * undefining this macro size checking is eliminated and the functions + * run a bit faster. With size checking disabled the functions always + * return ARM_MATH_SUCCESS. + */ + +/** + * @defgroup groupTransforms Transform Functions + */ + +/** + * @defgroup groupController Controller Functions + */ + +/** + * @defgroup groupStats Statistics Functions + */ +/** + * @defgroup groupSupport Support Functions + */ + +/** + * @defgroup groupInterpolation Interpolation Functions + * These functions perform 1- and 2-dimensional interpolation of data. + * Linear interpolation is used for 1-dimensional data and + * bilinear interpolation is used for 2-dimensional data. + */ + +/** + * @defgroup groupExamples Examples + */ +#ifndef _ARM_MATH_H +#define _ARM_MATH_H + +#define __CMSIS_GENERIC /* disable NVIC and Systick functions */ + +#if defined(ARM_MATH_CM7) + #include "core_cm7.h" +#elif defined (ARM_MATH_CM4) + #include "core_cm4.h" +#elif defined (ARM_MATH_CM3) + #include "core_cm3.h" +#elif defined (ARM_MATH_CM0) + #include "core_cm0.h" +#define ARM_MATH_CM0_FAMILY + #elif defined (ARM_MATH_CM0PLUS) +#include "core_cm0plus.h" + #define ARM_MATH_CM0_FAMILY +#else + #error "Define according the used Cortex core ARM_MATH_CM7, ARM_MATH_CM4, ARM_MATH_CM3, ARM_MATH_CM0PLUS or ARM_MATH_CM0" +#endif + +#undef __CMSIS_GENERIC /* enable NVIC and Systick functions */ +#include "string.h" +#include "math.h" +#ifdef __cplusplus +extern "C" +{ +#endif + + + /** + * @brief Macros required for reciprocal calculation in Normalized LMS + */ + +#define DELTA_Q31 (0x100) +#define DELTA_Q15 0x5 +#define INDEX_MASK 0x0000003F +#ifndef PI +#define PI 3.14159265358979f +#endif + + /** + * @brief Macros required for SINE and COSINE Fast math approximations + */ + +#define FAST_MATH_TABLE_SIZE 512 +#define FAST_MATH_Q31_SHIFT (32 - 10) +#define FAST_MATH_Q15_SHIFT (16 - 10) +#define CONTROLLER_Q31_SHIFT (32 - 9) +#define TABLE_SIZE 256 +#define TABLE_SPACING_Q31 0x400000 +#define TABLE_SPACING_Q15 0x80 + + /** + * @brief Macros required for SINE and COSINE Controller functions + */ + /* 1.31(q31) Fixed value of 2/360 */ + /* -1 to +1 is divided into 360 values so total spacing is (2/360) */ +#define INPUT_SPACING 0xB60B61 + + /** + * @brief Macro for Unaligned Support + */ +#ifndef UNALIGNED_SUPPORT_DISABLE + #define ALIGN4 +#else + #if defined (__GNUC__) + #define ALIGN4 __attribute__((aligned(4))) + #else + #define ALIGN4 __align(4) + #endif +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /** + * @brief Error status returned by some functions in the library. + */ + + typedef enum + { + ARM_MATH_SUCCESS = 0, /**< No error */ + ARM_MATH_ARGUMENT_ERROR = -1, /**< One or more arguments are incorrect */ + ARM_MATH_LENGTH_ERROR = -2, /**< Length of data buffer is incorrect */ + ARM_MATH_SIZE_MISMATCH = -3, /**< Size of matrices is not compatible with the operation. */ + ARM_MATH_NANINF = -4, /**< Not-a-number (NaN) or infinity is generated */ + ARM_MATH_SINGULAR = -5, /**< Generated by matrix inversion if the input matrix is singular and cannot be inverted. */ + ARM_MATH_TEST_FAILURE = -6 /**< Test Failed */ + } arm_status; + + /** + * @brief 8-bit fractional data type in 1.7 format. + */ + typedef int8_t q7_t; + + /** + * @brief 16-bit fractional data type in 1.15 format. + */ + typedef int16_t q15_t; + + /** + * @brief 32-bit fractional data type in 1.31 format. + */ + typedef int32_t q31_t; + + /** + * @brief 64-bit fractional data type in 1.63 format. + */ + typedef int64_t q63_t; + + /** + * @brief 32-bit floating-point type definition. + */ + typedef float float32_t; + + /** + * @brief 64-bit floating-point type definition. + */ + typedef double float64_t; + + /** + * @brief definition to read/write two 16 bit values. + */ +#if defined __CC_ARM + #define __SIMD32_TYPE int32_t __packed + #define CMSIS_UNUSED __attribute__((unused)) +#elif defined __ICCARM__ + #define __SIMD32_TYPE int32_t __packed + #define CMSIS_UNUSED +#elif defined __GNUC__ + #define __SIMD32_TYPE int32_t + #define CMSIS_UNUSED __attribute__((unused)) +#elif defined __CSMC__ /* Cosmic */ + #define __SIMD32_TYPE int32_t + #define CMSIS_UNUSED +#elif defined __TASKING__ + #define __SIMD32_TYPE __unaligned int32_t + #define CMSIS_UNUSED +#else + #error Unknown compiler +#endif + +#define __SIMD32(addr) (*(__SIMD32_TYPE **) & (addr)) +#define __SIMD32_CONST(addr) ((__SIMD32_TYPE *)(addr)) + +#define _SIMD32_OFFSET(addr) (*(__SIMD32_TYPE *) (addr)) + +#define __SIMD64(addr) (*(int64_t **) & (addr)) + +#if defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0_FAMILY) + /** + * @brief definition to pack two 16 bit values. + */ +#define __PKHBT(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0x0000FFFF) | \ + (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000) ) +#define __PKHTB(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0xFFFF0000) | \ + (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF) ) + +#endif + + + /** + * @brief definition to pack four 8 bit values. + */ +#ifndef ARM_MATH_BIG_ENDIAN + +#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) << 0) & (int32_t)0x000000FF) | \ + (((int32_t)(v1) << 8) & (int32_t)0x0000FF00) | \ + (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) | \ + (((int32_t)(v3) << 24) & (int32_t)0xFF000000) ) +#else + +#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) << 0) & (int32_t)0x000000FF) | \ + (((int32_t)(v2) << 8) & (int32_t)0x0000FF00) | \ + (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) | \ + (((int32_t)(v0) << 24) & (int32_t)0xFF000000) ) + +#endif + + + /** + * @brief Clips Q63 to Q31 values. + */ + static __INLINE q31_t clip_q63_to_q31( + q63_t x) + { + return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ? + ((0x7FFFFFFF ^ ((q31_t) (x >> 63)))) : (q31_t) x; + } + + /** + * @brief Clips Q63 to Q15 values. + */ + static __INLINE q15_t clip_q63_to_q15( + q63_t x) + { + return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ? + ((0x7FFF ^ ((q15_t) (x >> 63)))) : (q15_t) (x >> 15); + } + + /** + * @brief Clips Q31 to Q7 values. + */ + static __INLINE q7_t clip_q31_to_q7( + q31_t x) + { + return ((q31_t) (x >> 24) != ((q31_t) x >> 23)) ? + ((0x7F ^ ((q7_t) (x >> 31)))) : (q7_t) x; + } + + /** + * @brief Clips Q31 to Q15 values. + */ + static __INLINE q15_t clip_q31_to_q15( + q31_t x) + { + return ((q31_t) (x >> 16) != ((q31_t) x >> 15)) ? + ((0x7FFF ^ ((q15_t) (x >> 31)))) : (q15_t) x; + } + + /** + * @brief Multiplies 32 X 64 and returns 32 bit result in 2.30 format. + */ + + static __INLINE q63_t mult32x64( + q63_t x, + q31_t y) + { + return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) + + (((q63_t) (x >> 32) * y))); + } + + +//#if defined (ARM_MATH_CM0_FAMILY) && defined ( __CC_ARM ) +//#define __CLZ __clz +//#endif + +//note: function can be removed when all toolchain support __CLZ for Cortex-M0 +#if defined (ARM_MATH_CM0_FAMILY) && ((defined (__ICCARM__)) ) + + static __INLINE uint32_t __CLZ( + q31_t data); + + + static __INLINE uint32_t __CLZ( + q31_t data) + { + uint32_t count = 0; + uint32_t mask = 0x80000000; + + while((data & mask) == 0) + { + count += 1u; + mask = mask >> 1u; + } + + return (count); + + } + +#endif + + /** + * @brief Function to Calculates 1/in (reciprocal) value of Q31 Data type. + */ + + static __INLINE uint32_t arm_recip_q31( + q31_t in, + q31_t * dst, + q31_t * pRecipTable) + { + + uint32_t out, tempVal; + uint32_t index, i; + uint32_t signBits; + + if(in > 0) + { + signBits = __CLZ(in) - 1; + } + else + { + signBits = __CLZ(-in) - 1; + } + + /* Convert input sample to 1.31 format */ + in = in << signBits; + + /* calculation of index for initial approximated Val */ + index = (uint32_t) (in >> 24u); + index = (index & INDEX_MASK); + + /* 1.31 with exp 1 */ + out = pRecipTable[index]; + + /* calculation of reciprocal value */ + /* running approximation for two iterations */ + for (i = 0u; i < 2u; i++) + { + tempVal = (q31_t) (((q63_t) in * out) >> 31u); + tempVal = 0x7FFFFFFF - tempVal; + /* 1.31 with exp 1 */ + //out = (q31_t) (((q63_t) out * tempVal) >> 30u); + out = (q31_t) clip_q63_to_q31(((q63_t) out * tempVal) >> 30u); + } + + /* write output */ + *dst = out; + + /* return num of signbits of out = 1/in value */ + return (signBits + 1u); + + } + + /** + * @brief Function to Calculates 1/in (reciprocal) value of Q15 Data type. + */ + static __INLINE uint32_t arm_recip_q15( + q15_t in, + q15_t * dst, + q15_t * pRecipTable) + { + + uint32_t out = 0, tempVal = 0; + uint32_t index = 0, i = 0; + uint32_t signBits = 0; + + if(in > 0) + { + signBits = __CLZ(in) - 17; + } + else + { + signBits = __CLZ(-in) - 17; + } + + /* Convert input sample to 1.15 format */ + in = in << signBits; + + /* calculation of index for initial approximated Val */ + index = in >> 8; + index = (index & INDEX_MASK); + + /* 1.15 with exp 1 */ + out = pRecipTable[index]; + + /* calculation of reciprocal value */ + /* running approximation for two iterations */ + for (i = 0; i < 2; i++) + { + tempVal = (q15_t) (((q31_t) in * out) >> 15); + tempVal = 0x7FFF - tempVal; + /* 1.15 with exp 1 */ + out = (q15_t) (((q31_t) out * tempVal) >> 14); + } + + /* write output */ + *dst = out; + + /* return num of signbits of out = 1/in value */ + return (signBits + 1); + + } + + + /* + * @brief C custom defined intrinisic function for only M0 processors + */ +#if defined(ARM_MATH_CM0_FAMILY) + + static __INLINE q31_t __SSAT( + q31_t x, + uint32_t y) + { + int32_t posMax, negMin; + uint32_t i; + + posMax = 1; + for (i = 0; i < (y - 1); i++) + { + posMax = posMax * 2; + } + + if(x > 0) + { + posMax = (posMax - 1); + + if(x > posMax) + { + x = posMax; + } + } + else + { + negMin = -posMax; + + if(x < negMin) + { + x = negMin; + } + } + return (x); + + + } + +#endif /* end of ARM_MATH_CM0_FAMILY */ + + + + /* + * @brief C custom defined intrinsic function for M3 and M0 processors + */ +#if defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0_FAMILY) + + /* + * @brief C custom defined QADD8 for M3 and M0 processors + */ + static __INLINE q31_t __QADD8( + q31_t x, + q31_t y) + { + + q31_t sum; + q7_t r, s, t, u; + + r = (q7_t) x; + s = (q7_t) y; + + r = __SSAT((q31_t) (r + s), 8); + s = __SSAT(((q31_t) (((x << 16) >> 24) + ((y << 16) >> 24))), 8); + t = __SSAT(((q31_t) (((x << 8) >> 24) + ((y << 8) >> 24))), 8); + u = __SSAT(((q31_t) ((x >> 24) + (y >> 24))), 8); + + sum = + (((q31_t) u << 24) & 0xFF000000) | (((q31_t) t << 16) & 0x00FF0000) | + (((q31_t) s << 8) & 0x0000FF00) | (r & 0x000000FF); + + return sum; + + } + + /* + * @brief C custom defined QSUB8 for M3 and M0 processors + */ + static __INLINE q31_t __QSUB8( + q31_t x, + q31_t y) + { + + q31_t sum; + q31_t r, s, t, u; + + r = (q7_t) x; + s = (q7_t) y; + + r = __SSAT((r - s), 8); + s = __SSAT(((q31_t) (((x << 16) >> 24) - ((y << 16) >> 24))), 8) << 8; + t = __SSAT(((q31_t) (((x << 8) >> 24) - ((y << 8) >> 24))), 8) << 16; + u = __SSAT(((q31_t) ((x >> 24) - (y >> 24))), 8) << 24; + + sum = + (u & 0xFF000000) | (t & 0x00FF0000) | (s & 0x0000FF00) | (r & + 0x000000FF); + + return sum; + } + + /* + * @brief C custom defined QADD16 for M3 and M0 processors + */ + + /* + * @brief C custom defined QADD16 for M3 and M0 processors + */ + static __INLINE q31_t __QADD16( + q31_t x, + q31_t y) + { + + q31_t sum; + q31_t r, s; + + r = (q15_t) x; + s = (q15_t) y; + + r = __SSAT(r + s, 16); + s = __SSAT(((q31_t) ((x >> 16) + (y >> 16))), 16) << 16; + + sum = (s & 0xFFFF0000) | (r & 0x0000FFFF); + + return sum; + + } + + /* + * @brief C custom defined SHADD16 for M3 and M0 processors + */ + static __INLINE q31_t __SHADD16( + q31_t x, + q31_t y) + { + + q31_t sum; + q31_t r, s; + + r = (q15_t) x; + s = (q15_t) y; + + r = ((r >> 1) + (s >> 1)); + s = ((q31_t) ((x >> 17) + (y >> 17))) << 16; + + sum = (s & 0xFFFF0000) | (r & 0x0000FFFF); + + return sum; + + } + + /* + * @brief C custom defined QSUB16 for M3 and M0 processors + */ + static __INLINE q31_t __QSUB16( + q31_t x, + q31_t y) + { + + q31_t sum; + q31_t r, s; + + r = (q15_t) x; + s = (q15_t) y; + + r = __SSAT(r - s, 16); + s = __SSAT(((q31_t) ((x >> 16) - (y >> 16))), 16) << 16; + + sum = (s & 0xFFFF0000) | (r & 0x0000FFFF); + + return sum; + } + + /* + * @brief C custom defined SHSUB16 for M3 and M0 processors + */ + static __INLINE q31_t __SHSUB16( + q31_t x, + q31_t y) + { + + q31_t diff; + q31_t r, s; + + r = (q15_t) x; + s = (q15_t) y; + + r = ((r >> 1) - (s >> 1)); + s = (((x >> 17) - (y >> 17)) << 16); + + diff = (s & 0xFFFF0000) | (r & 0x0000FFFF); + + return diff; + } + + /* + * @brief C custom defined QASX for M3 and M0 processors + */ + static __INLINE q31_t __QASX( + q31_t x, + q31_t y) + { + + q31_t sum = 0; + + sum = + ((sum + + clip_q31_to_q15((q31_t) ((q15_t) (x >> 16) + (q15_t) y))) << 16) + + clip_q31_to_q15((q31_t) ((q15_t) x - (q15_t) (y >> 16))); + + return sum; + } + + /* + * @brief C custom defined SHASX for M3 and M0 processors + */ + static __INLINE q31_t __SHASX( + q31_t x, + q31_t y) + { + + q31_t sum; + q31_t r, s; + + r = (q15_t) x; + s = (q15_t) y; + + r = ((r >> 1) - (y >> 17)); + s = (((x >> 17) + (s >> 1)) << 16); + + sum = (s & 0xFFFF0000) | (r & 0x0000FFFF); + + return sum; + } + + + /* + * @brief C custom defined QSAX for M3 and M0 processors + */ + static __INLINE q31_t __QSAX( + q31_t x, + q31_t y) + { + + q31_t sum = 0; + + sum = + ((sum + + clip_q31_to_q15((q31_t) ((q15_t) (x >> 16) - (q15_t) y))) << 16) + + clip_q31_to_q15((q31_t) ((q15_t) x + (q15_t) (y >> 16))); + + return sum; + } + + /* + * @brief C custom defined SHSAX for M3 and M0 processors + */ + static __INLINE q31_t __SHSAX( + q31_t x, + q31_t y) + { + + q31_t sum; + q31_t r, s; + + r = (q15_t) x; + s = (q15_t) y; + + r = ((r >> 1) + (y >> 17)); + s = (((x >> 17) - (s >> 1)) << 16); + + sum = (s & 0xFFFF0000) | (r & 0x0000FFFF); + + return sum; + } + + /* + * @brief C custom defined SMUSDX for M3 and M0 processors + */ + static __INLINE q31_t __SMUSDX( + q31_t x, + q31_t y) + { + + return ((q31_t) (((q15_t) x * (q15_t) (y >> 16)) - + ((q15_t) (x >> 16) * (q15_t) y))); + } + + /* + * @brief C custom defined SMUADX for M3 and M0 processors + */ + static __INLINE q31_t __SMUADX( + q31_t x, + q31_t y) + { + + return ((q31_t) (((q15_t) x * (q15_t) (y >> 16)) + + ((q15_t) (x >> 16) * (q15_t) y))); + } + + /* + * @brief C custom defined QADD for M3 and M0 processors + */ + static __INLINE q31_t __QADD( + q31_t x, + q31_t y) + { + return clip_q63_to_q31((q63_t) x + y); + } + + /* + * @brief C custom defined QSUB for M3 and M0 processors + */ + static __INLINE q31_t __QSUB( + q31_t x, + q31_t y) + { + return clip_q63_to_q31((q63_t) x - y); + } + + /* + * @brief C custom defined SMLAD for M3 and M0 processors + */ + static __INLINE q31_t __SMLAD( + q31_t x, + q31_t y, + q31_t sum) + { + + return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + + ((q15_t) x * (q15_t) y)); + } + + /* + * @brief C custom defined SMLADX for M3 and M0 processors + */ + static __INLINE q31_t __SMLADX( + q31_t x, + q31_t y, + q31_t sum) + { + + return (sum + ((q15_t) (x >> 16) * (q15_t) (y)) + + ((q15_t) x * (q15_t) (y >> 16))); + } + + /* + * @brief C custom defined SMLSDX for M3 and M0 processors + */ + static __INLINE q31_t __SMLSDX( + q31_t x, + q31_t y, + q31_t sum) + { + + return (sum - ((q15_t) (x >> 16) * (q15_t) (y)) + + ((q15_t) x * (q15_t) (y >> 16))); + } + + /* + * @brief C custom defined SMLALD for M3 and M0 processors + */ + static __INLINE q63_t __SMLALD( + q31_t x, + q31_t y, + q63_t sum) + { + + return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + + ((q15_t) x * (q15_t) y)); + } + + /* + * @brief C custom defined SMLALDX for M3 and M0 processors + */ + static __INLINE q63_t __SMLALDX( + q31_t x, + q31_t y, + q63_t sum) + { + + return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + + ((q15_t) x * (q15_t) (y >> 16)); + } + + /* + * @brief C custom defined SMUAD for M3 and M0 processors + */ + static __INLINE q31_t __SMUAD( + q31_t x, + q31_t y) + { + + return (((x >> 16) * (y >> 16)) + + (((x << 16) >> 16) * ((y << 16) >> 16))); + } + + /* + * @brief C custom defined SMUSD for M3 and M0 processors + */ + static __INLINE q31_t __SMUSD( + q31_t x, + q31_t y) + { + + return (-((x >> 16) * (y >> 16)) + + (((x << 16) >> 16) * ((y << 16) >> 16))); + } + + + /* + * @brief C custom defined SXTB16 for M3 and M0 processors + */ + static __INLINE q31_t __SXTB16( + q31_t x) + { + + return ((((x << 24) >> 24) & 0x0000FFFF) | + (((x << 8) >> 8) & 0xFFFF0000)); + } + + +#endif /* defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0_FAMILY) */ + + + /** + * @brief Instance structure for the Q7 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q7_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + } arm_fir_instance_q7; + + /** + * @brief Instance structure for the Q15 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + } arm_fir_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + } arm_fir_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + } arm_fir_instance_f32; + + + /** + * @brief Processing function for the Q7 FIR filter. + * @param[in] *S points to an instance of the Q7 FIR filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + void arm_fir_q7( + const arm_fir_instance_q7 * S, + q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q7 FIR filter. + * @param[in,out] *S points to an instance of the Q7 FIR structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of samples that are processed. + * @return none + */ + void arm_fir_init_q7( + arm_fir_instance_q7 * S, + uint16_t numTaps, + q7_t * pCoeffs, + q7_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 FIR filter. + * @param[in] *S points to an instance of the Q15 FIR structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + void arm_fir_q15( + const arm_fir_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the fast Q15 FIR filter for Cortex-M3 and Cortex-M4. + * @param[in] *S points to an instance of the Q15 FIR filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + void arm_fir_fast_q15( + const arm_fir_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q15 FIR filter. + * @param[in,out] *S points to an instance of the Q15 FIR filter structure. + * @param[in] numTaps Number of filter coefficients in the filter. Must be even and greater than or equal to 4. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of samples that are processed at a time. + * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_ARGUMENT_ERROR if + * numTaps is not a supported value. + */ + + arm_status arm_fir_init_q15( + arm_fir_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 FIR filter. + * @param[in] *S points to an instance of the Q31 FIR filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + void arm_fir_q31( + const arm_fir_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the fast Q31 FIR filter for Cortex-M3 and Cortex-M4. + * @param[in] *S points to an instance of the Q31 FIR structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + void arm_fir_fast_q31( + const arm_fir_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q31 FIR filter. + * @param[in,out] *S points to an instance of the Q31 FIR structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of samples that are processed at a time. + * @return none. + */ + void arm_fir_init_q31( + arm_fir_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the floating-point FIR filter. + * @param[in] *S points to an instance of the floating-point FIR structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + void arm_fir_f32( + const arm_fir_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point FIR filter. + * @param[in,out] *S points to an instance of the floating-point FIR filter structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of samples that are processed at a time. + * @return none. + */ + void arm_fir_init_f32( + arm_fir_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q15 Biquad cascade filter. + */ + typedef struct + { + int8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + q15_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ + q15_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ + int8_t postShift; /**< Additional shift, in bits, applied to each output sample. */ + + } arm_biquad_casd_df1_inst_q15; + + + /** + * @brief Instance structure for the Q31 Biquad cascade filter. + */ + typedef struct + { + uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + q31_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ + q31_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ + uint8_t postShift; /**< Additional shift, in bits, applied to each output sample. */ + + } arm_biquad_casd_df1_inst_q31; + + /** + * @brief Instance structure for the floating-point Biquad cascade filter. + */ + typedef struct + { + uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float32_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ + float32_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ + + + } arm_biquad_casd_df1_inst_f32; + + + + /** + * @brief Processing function for the Q15 Biquad cascade filter. + * @param[in] *S points to an instance of the Q15 Biquad cascade structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_biquad_cascade_df1_q15( + const arm_biquad_casd_df1_inst_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q15 Biquad cascade filter. + * @param[in,out] *S points to an instance of the Q15 Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format + * @return none + */ + + void arm_biquad_cascade_df1_init_q15( + arm_biquad_casd_df1_inst_q15 * S, + uint8_t numStages, + q15_t * pCoeffs, + q15_t * pState, + int8_t postShift); + + + /** + * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4. + * @param[in] *S points to an instance of the Q15 Biquad cascade structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_biquad_cascade_df1_fast_q15( + const arm_biquad_casd_df1_inst_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 Biquad cascade filter + * @param[in] *S points to an instance of the Q31 Biquad cascade structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_biquad_cascade_df1_q31( + const arm_biquad_casd_df1_inst_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4. + * @param[in] *S points to an instance of the Q31 Biquad cascade structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_biquad_cascade_df1_fast_q31( + const arm_biquad_casd_df1_inst_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q31 Biquad cascade filter. + * @param[in,out] *S points to an instance of the Q31 Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format + * @return none + */ + + void arm_biquad_cascade_df1_init_q31( + arm_biquad_casd_df1_inst_q31 * S, + uint8_t numStages, + q31_t * pCoeffs, + q31_t * pState, + int8_t postShift); + + /** + * @brief Processing function for the floating-point Biquad cascade filter. + * @param[in] *S points to an instance of the floating-point Biquad cascade structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_biquad_cascade_df1_f32( + const arm_biquad_casd_df1_inst_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point Biquad cascade filter. + * @param[in,out] *S points to an instance of the floating-point Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @return none + */ + + void arm_biquad_cascade_df1_init_f32( + arm_biquad_casd_df1_inst_f32 * S, + uint8_t numStages, + float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Instance structure for the floating-point matrix structure. + */ + + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + float32_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_f32; + + + /** + * @brief Instance structure for the floating-point matrix structure. + */ + + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + float64_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_f64; + + /** + * @brief Instance structure for the Q15 matrix structure. + */ + + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + q15_t *pData; /**< points to the data of the matrix. */ + + } arm_matrix_instance_q15; + + /** + * @brief Instance structure for the Q31 matrix structure. + */ + + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + q31_t *pData; /**< points to the data of the matrix. */ + + } arm_matrix_instance_q31; + + + + /** + * @brief Floating-point matrix addition. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_add_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix addition. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_add_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix addition. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_add_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point, complex, matrix multiplication. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_cmplx_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15, complex, matrix multiplication. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_cmplx_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pScratch); + + /** + * @brief Q31, complex, matrix multiplication. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_cmplx_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + + /** + * @brief Floating-point matrix transpose. + * @param[in] *pSrc points to the input matrix + * @param[out] *pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_trans_f32( + const arm_matrix_instance_f32 * pSrc, + arm_matrix_instance_f32 * pDst); + + + /** + * @brief Q15 matrix transpose. + * @param[in] *pSrc points to the input matrix + * @param[out] *pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_trans_q15( + const arm_matrix_instance_q15 * pSrc, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix transpose. + * @param[in] *pSrc points to the input matrix + * @param[out] *pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_trans_q31( + const arm_matrix_instance_q31 * pSrc, + arm_matrix_instance_q31 * pDst); + + + /** + * @brief Floating-point matrix multiplication + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix multiplication + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @param[in] *pState points to the array for storing intermediate results + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pState); + + /** + * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @param[in] *pState points to the array for storing intermediate results + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_mult_fast_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pState); + + /** + * @brief Q31 matrix multiplication + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_mult_fast_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + + /** + * @brief Floating-point matrix subtraction + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_sub_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix subtraction + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_sub_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix subtraction + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_sub_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point matrix scaling. + * @param[in] *pSrc points to the input matrix + * @param[in] scale scale factor + * @param[out] *pDst points to the output matrix + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix scaling. + * @param[in] *pSrc points to input matrix + * @param[in] scaleFract fractional portion of the scale factor + * @param[in] shift number of bits to shift the result by + * @param[out] *pDst points to output matrix + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_scale_q15( + const arm_matrix_instance_q15 * pSrc, + q15_t scaleFract, + int32_t shift, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix scaling. + * @param[in] *pSrc points to input matrix + * @param[in] scaleFract fractional portion of the scale factor + * @param[in] shift number of bits to shift the result by + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + arm_status arm_mat_scale_q31( + const arm_matrix_instance_q31 * pSrc, + q31_t scaleFract, + int32_t shift, + arm_matrix_instance_q31 * pDst); + + + /** + * @brief Q31 matrix initialization. + * @param[in,out] *S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] *pData points to the matrix data array. + * @return none + */ + + void arm_mat_init_q31( + arm_matrix_instance_q31 * S, + uint16_t nRows, + uint16_t nColumns, + q31_t * pData); + + /** + * @brief Q15 matrix initialization. + * @param[in,out] *S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] *pData points to the matrix data array. + * @return none + */ + + void arm_mat_init_q15( + arm_matrix_instance_q15 * S, + uint16_t nRows, + uint16_t nColumns, + q15_t * pData); + + /** + * @brief Floating-point matrix initialization. + * @param[in,out] *S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] *pData points to the matrix data array. + * @return none + */ + + void arm_mat_init_f32( + arm_matrix_instance_f32 * S, + uint16_t nRows, + uint16_t nColumns, + float32_t * pData); + + + + /** + * @brief Instance structure for the Q15 PID Control. + */ + typedef struct + { + q15_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ +#ifdef ARM_MATH_CM0_FAMILY + q15_t A1; + q15_t A2; +#else + q31_t A1; /**< The derived gain A1 = -Kp - 2Kd | Kd.*/ +#endif + q15_t state[3]; /**< The state array of length 3. */ + q15_t Kp; /**< The proportional gain. */ + q15_t Ki; /**< The integral gain. */ + q15_t Kd; /**< The derivative gain. */ + } arm_pid_instance_q15; + + /** + * @brief Instance structure for the Q31 PID Control. + */ + typedef struct + { + q31_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ + q31_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */ + q31_t A2; /**< The derived gain, A2 = Kd . */ + q31_t state[3]; /**< The state array of length 3. */ + q31_t Kp; /**< The proportional gain. */ + q31_t Ki; /**< The integral gain. */ + q31_t Kd; /**< The derivative gain. */ + + } arm_pid_instance_q31; + + /** + * @brief Instance structure for the floating-point PID Control. + */ + typedef struct + { + float32_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ + float32_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */ + float32_t A2; /**< The derived gain, A2 = Kd . */ + float32_t state[3]; /**< The state array of length 3. */ + float32_t Kp; /**< The proportional gain. */ + float32_t Ki; /**< The integral gain. */ + float32_t Kd; /**< The derivative gain. */ + } arm_pid_instance_f32; + + + + /** + * @brief Initialization function for the floating-point PID Control. + * @param[in,out] *S points to an instance of the PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + * @return none. + */ + void arm_pid_init_f32( + arm_pid_instance_f32 * S, + int32_t resetStateFlag); + + /** + * @brief Reset function for the floating-point PID Control. + * @param[in,out] *S is an instance of the floating-point PID Control structure + * @return none + */ + void arm_pid_reset_f32( + arm_pid_instance_f32 * S); + + + /** + * @brief Initialization function for the Q31 PID Control. + * @param[in,out] *S points to an instance of the Q15 PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + * @return none. + */ + void arm_pid_init_q31( + arm_pid_instance_q31 * S, + int32_t resetStateFlag); + + + /** + * @brief Reset function for the Q31 PID Control. + * @param[in,out] *S points to an instance of the Q31 PID Control structure + * @return none + */ + + void arm_pid_reset_q31( + arm_pid_instance_q31 * S); + + /** + * @brief Initialization function for the Q15 PID Control. + * @param[in,out] *S points to an instance of the Q15 PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + * @return none. + */ + void arm_pid_init_q15( + arm_pid_instance_q15 * S, + int32_t resetStateFlag); + + /** + * @brief Reset function for the Q15 PID Control. + * @param[in,out] *S points to an instance of the q15 PID Control structure + * @return none + */ + void arm_pid_reset_q15( + arm_pid_instance_q15 * S); + + + /** + * @brief Instance structure for the floating-point Linear Interpolate function. + */ + typedef struct + { + uint32_t nValues; /**< nValues */ + float32_t x1; /**< x1 */ + float32_t xSpacing; /**< xSpacing */ + float32_t *pYData; /**< pointer to the table of Y values */ + } arm_linear_interp_instance_f32; + + /** + * @brief Instance structure for the floating-point bilinear interpolation function. + */ + + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + float32_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_f32; + + /** + * @brief Instance structure for the Q31 bilinear interpolation function. + */ + + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + q31_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_q31; + + /** + * @brief Instance structure for the Q15 bilinear interpolation function. + */ + + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + q15_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_q15; + + /** + * @brief Instance structure for the Q15 bilinear interpolation function. + */ + + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + q7_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_q7; + + + /** + * @brief Q7 vector multiplication. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_mult_q7( + q7_t * pSrcA, + q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Q15 vector multiplication. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_mult_q15( + q15_t * pSrcA, + q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Q31 vector multiplication. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_mult_q31( + q31_t * pSrcA, + q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Floating-point vector multiplication. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_mult_f32( + float32_t * pSrcA, + float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize); + + + + + + + /** + * @brief Instance structure for the Q15 CFFT/CIFFT function. + */ + + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + q15_t *pTwiddle; /**< points to the Sin twiddle factor table. */ + uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix2_instance_q15; + +/* Deprecated */ + arm_status arm_cfft_radix2_init_q15( + arm_cfft_radix2_instance_q15 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix2_q15( + const arm_cfft_radix2_instance_q15 * S, + q15_t * pSrc); + + + + /** + * @brief Instance structure for the Q15 CFFT/CIFFT function. + */ + + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + q15_t *pTwiddle; /**< points to the twiddle factor table. */ + uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix4_instance_q15; + +/* Deprecated */ + arm_status arm_cfft_radix4_init_q15( + arm_cfft_radix4_instance_q15 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix4_q15( + const arm_cfft_radix4_instance_q15 * S, + q15_t * pSrc); + + /** + * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function. + */ + + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + q31_t *pTwiddle; /**< points to the Twiddle factor table. */ + uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix2_instance_q31; + +/* Deprecated */ + arm_status arm_cfft_radix2_init_q31( + arm_cfft_radix2_instance_q31 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix2_q31( + const arm_cfft_radix2_instance_q31 * S, + q31_t * pSrc); + + /** + * @brief Instance structure for the Q31 CFFT/CIFFT function. + */ + + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + q31_t *pTwiddle; /**< points to the twiddle factor table. */ + uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix4_instance_q31; + +/* Deprecated */ + void arm_cfft_radix4_q31( + const arm_cfft_radix4_instance_q31 * S, + q31_t * pSrc); + +/* Deprecated */ + arm_status arm_cfft_radix4_init_q31( + arm_cfft_radix4_instance_q31 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the floating-point CFFT/CIFFT function. + */ + + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + float32_t *pTwiddle; /**< points to the Twiddle factor table. */ + uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + float32_t onebyfftLen; /**< value of 1/fftLen. */ + } arm_cfft_radix2_instance_f32; + +/* Deprecated */ + arm_status arm_cfft_radix2_init_f32( + arm_cfft_radix2_instance_f32 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix2_f32( + const arm_cfft_radix2_instance_f32 * S, + float32_t * pSrc); + + /** + * @brief Instance structure for the floating-point CFFT/CIFFT function. + */ + + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + float32_t *pTwiddle; /**< points to the Twiddle factor table. */ + uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + float32_t onebyfftLen; /**< value of 1/fftLen. */ + } arm_cfft_radix4_instance_f32; + +/* Deprecated */ + arm_status arm_cfft_radix4_init_f32( + arm_cfft_radix4_instance_f32 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix4_f32( + const arm_cfft_radix4_instance_f32 * S, + float32_t * pSrc); + + /** + * @brief Instance structure for the fixed-point CFFT/CIFFT function. + */ + + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const q15_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ + } arm_cfft_instance_q15; + +void arm_cfft_q15( + const arm_cfft_instance_q15 * S, + q15_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the fixed-point CFFT/CIFFT function. + */ + + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const q31_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ + } arm_cfft_instance_q31; + +void arm_cfft_q31( + const arm_cfft_instance_q31 * S, + q31_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the floating-point CFFT/CIFFT function. + */ + + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ + } arm_cfft_instance_f32; + + void arm_cfft_f32( + const arm_cfft_instance_f32 * S, + float32_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the Q15 RFFT/RIFFT function. + */ + + typedef struct + { + uint32_t fftLenReal; /**< length of the real FFT. */ + uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ + uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ + uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + q15_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ + q15_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ + const arm_cfft_instance_q15 *pCfft; /**< points to the complex FFT instance. */ + } arm_rfft_instance_q15; + + arm_status arm_rfft_init_q15( + arm_rfft_instance_q15 * S, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag); + + void arm_rfft_q15( + const arm_rfft_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst); + + /** + * @brief Instance structure for the Q31 RFFT/RIFFT function. + */ + + typedef struct + { + uint32_t fftLenReal; /**< length of the real FFT. */ + uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ + uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ + uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + q31_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ + q31_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ + const arm_cfft_instance_q31 *pCfft; /**< points to the complex FFT instance. */ + } arm_rfft_instance_q31; + + arm_status arm_rfft_init_q31( + arm_rfft_instance_q31 * S, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag); + + void arm_rfft_q31( + const arm_rfft_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst); + + /** + * @brief Instance structure for the floating-point RFFT/RIFFT function. + */ + + typedef struct + { + uint32_t fftLenReal; /**< length of the real FFT. */ + uint16_t fftLenBy2; /**< length of the complex FFT. */ + uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ + uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ + uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + float32_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ + float32_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ + arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */ + } arm_rfft_instance_f32; + + arm_status arm_rfft_init_f32( + arm_rfft_instance_f32 * S, + arm_cfft_radix4_instance_f32 * S_CFFT, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag); + + void arm_rfft_f32( + const arm_rfft_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst); + + /** + * @brief Instance structure for the floating-point RFFT/RIFFT function. + */ + +typedef struct + { + arm_cfft_instance_f32 Sint; /**< Internal CFFT structure. */ + uint16_t fftLenRFFT; /**< length of the real sequence */ + float32_t * pTwiddleRFFT; /**< Twiddle factors real stage */ + } arm_rfft_fast_instance_f32 ; + +arm_status arm_rfft_fast_init_f32 ( + arm_rfft_fast_instance_f32 * S, + uint16_t fftLen); + +void arm_rfft_fast_f32( + arm_rfft_fast_instance_f32 * S, + float32_t * p, float32_t * pOut, + uint8_t ifftFlag); + + /** + * @brief Instance structure for the floating-point DCT4/IDCT4 function. + */ + + typedef struct + { + uint16_t N; /**< length of the DCT4. */ + uint16_t Nby2; /**< half of the length of the DCT4. */ + float32_t normalize; /**< normalizing factor. */ + float32_t *pTwiddle; /**< points to the twiddle factor table. */ + float32_t *pCosFactor; /**< points to the cosFactor table. */ + arm_rfft_instance_f32 *pRfft; /**< points to the real FFT instance. */ + arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */ + } arm_dct4_instance_f32; + + /** + * @brief Initialization function for the floating-point DCT4/IDCT4. + * @param[in,out] *S points to an instance of floating-point DCT4/IDCT4 structure. + * @param[in] *S_RFFT points to an instance of floating-point RFFT/RIFFT structure. + * @param[in] *S_CFFT points to an instance of floating-point CFFT/CIFFT structure. + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported transform length. + */ + + arm_status arm_dct4_init_f32( + arm_dct4_instance_f32 * S, + arm_rfft_instance_f32 * S_RFFT, + arm_cfft_radix4_instance_f32 * S_CFFT, + uint16_t N, + uint16_t Nby2, + float32_t normalize); + + /** + * @brief Processing function for the floating-point DCT4/IDCT4. + * @param[in] *S points to an instance of the floating-point DCT4/IDCT4 structure. + * @param[in] *pState points to state buffer. + * @param[in,out] *pInlineBuffer points to the in-place input and output buffer. + * @return none. + */ + + void arm_dct4_f32( + const arm_dct4_instance_f32 * S, + float32_t * pState, + float32_t * pInlineBuffer); + + /** + * @brief Instance structure for the Q31 DCT4/IDCT4 function. + */ + + typedef struct + { + uint16_t N; /**< length of the DCT4. */ + uint16_t Nby2; /**< half of the length of the DCT4. */ + q31_t normalize; /**< normalizing factor. */ + q31_t *pTwiddle; /**< points to the twiddle factor table. */ + q31_t *pCosFactor; /**< points to the cosFactor table. */ + arm_rfft_instance_q31 *pRfft; /**< points to the real FFT instance. */ + arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */ + } arm_dct4_instance_q31; + + /** + * @brief Initialization function for the Q31 DCT4/IDCT4. + * @param[in,out] *S points to an instance of Q31 DCT4/IDCT4 structure. + * @param[in] *S_RFFT points to an instance of Q31 RFFT/RIFFT structure + * @param[in] *S_CFFT points to an instance of Q31 CFFT/CIFFT structure + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length. + */ + + arm_status arm_dct4_init_q31( + arm_dct4_instance_q31 * S, + arm_rfft_instance_q31 * S_RFFT, + arm_cfft_radix4_instance_q31 * S_CFFT, + uint16_t N, + uint16_t Nby2, + q31_t normalize); + + /** + * @brief Processing function for the Q31 DCT4/IDCT4. + * @param[in] *S points to an instance of the Q31 DCT4 structure. + * @param[in] *pState points to state buffer. + * @param[in,out] *pInlineBuffer points to the in-place input and output buffer. + * @return none. + */ + + void arm_dct4_q31( + const arm_dct4_instance_q31 * S, + q31_t * pState, + q31_t * pInlineBuffer); + + /** + * @brief Instance structure for the Q15 DCT4/IDCT4 function. + */ + + typedef struct + { + uint16_t N; /**< length of the DCT4. */ + uint16_t Nby2; /**< half of the length of the DCT4. */ + q15_t normalize; /**< normalizing factor. */ + q15_t *pTwiddle; /**< points to the twiddle factor table. */ + q15_t *pCosFactor; /**< points to the cosFactor table. */ + arm_rfft_instance_q15 *pRfft; /**< points to the real FFT instance. */ + arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */ + } arm_dct4_instance_q15; + + /** + * @brief Initialization function for the Q15 DCT4/IDCT4. + * @param[in,out] *S points to an instance of Q15 DCT4/IDCT4 structure. + * @param[in] *S_RFFT points to an instance of Q15 RFFT/RIFFT structure. + * @param[in] *S_CFFT points to an instance of Q15 CFFT/CIFFT structure. + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length. + */ + + arm_status arm_dct4_init_q15( + arm_dct4_instance_q15 * S, + arm_rfft_instance_q15 * S_RFFT, + arm_cfft_radix4_instance_q15 * S_CFFT, + uint16_t N, + uint16_t Nby2, + q15_t normalize); + + /** + * @brief Processing function for the Q15 DCT4/IDCT4. + * @param[in] *S points to an instance of the Q15 DCT4 structure. + * @param[in] *pState points to state buffer. + * @param[in,out] *pInlineBuffer points to the in-place input and output buffer. + * @return none. + */ + + void arm_dct4_q15( + const arm_dct4_instance_q15 * S, + q15_t * pState, + q15_t * pInlineBuffer); + + /** + * @brief Floating-point vector addition. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_add_f32( + float32_t * pSrcA, + float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Q7 vector addition. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_add_q7( + q7_t * pSrcA, + q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Q15 vector addition. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_add_q15( + q15_t * pSrcA, + q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Q31 vector addition. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_add_q31( + q31_t * pSrcA, + q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Floating-point vector subtraction. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_sub_f32( + float32_t * pSrcA, + float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Q7 vector subtraction. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_sub_q7( + q7_t * pSrcA, + q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Q15 vector subtraction. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_sub_q15( + q15_t * pSrcA, + q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Q31 vector subtraction. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_sub_q31( + q31_t * pSrcA, + q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Multiplies a floating-point vector by a scalar. + * @param[in] *pSrc points to the input vector + * @param[in] scale scale factor to be applied + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_scale_f32( + float32_t * pSrc, + float32_t scale, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Multiplies a Q7 vector by a scalar. + * @param[in] *pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_scale_q7( + q7_t * pSrc, + q7_t scaleFract, + int8_t shift, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Multiplies a Q15 vector by a scalar. + * @param[in] *pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_scale_q15( + q15_t * pSrc, + q15_t scaleFract, + int8_t shift, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Multiplies a Q31 vector by a scalar. + * @param[in] *pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_scale_q31( + q31_t * pSrc, + q31_t scaleFract, + int8_t shift, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Q7 vector absolute value. + * @param[in] *pSrc points to the input buffer + * @param[out] *pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_abs_q7( + q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Floating-point vector absolute value. + * @param[in] *pSrc points to the input buffer + * @param[out] *pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_abs_f32( + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Q15 vector absolute value. + * @param[in] *pSrc points to the input buffer + * @param[out] *pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_abs_q15( + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Q31 vector absolute value. + * @param[in] *pSrc points to the input buffer + * @param[out] *pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + * @return none. + */ + + void arm_abs_q31( + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Dot product of floating-point vectors. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] *result output result returned here + * @return none. + */ + + void arm_dot_prod_f32( + float32_t * pSrcA, + float32_t * pSrcB, + uint32_t blockSize, + float32_t * result); + + /** + * @brief Dot product of Q7 vectors. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] *result output result returned here + * @return none. + */ + + void arm_dot_prod_q7( + q7_t * pSrcA, + q7_t * pSrcB, + uint32_t blockSize, + q31_t * result); + + /** + * @brief Dot product of Q15 vectors. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] *result output result returned here + * @return none. + */ + + void arm_dot_prod_q15( + q15_t * pSrcA, + q15_t * pSrcB, + uint32_t blockSize, + q63_t * result); + + /** + * @brief Dot product of Q31 vectors. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] *result output result returned here + * @return none. + */ + + void arm_dot_prod_q31( + q31_t * pSrcA, + q31_t * pSrcB, + uint32_t blockSize, + q63_t * result); + + /** + * @brief Shifts the elements of a Q7 vector a specified number of bits. + * @param[in] *pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_shift_q7( + q7_t * pSrc, + int8_t shiftBits, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Shifts the elements of a Q15 vector a specified number of bits. + * @param[in] *pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_shift_q15( + q15_t * pSrc, + int8_t shiftBits, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Shifts the elements of a Q31 vector a specified number of bits. + * @param[in] *pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_shift_q31( + q31_t * pSrc, + int8_t shiftBits, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Adds a constant offset to a floating-point vector. + * @param[in] *pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_offset_f32( + float32_t * pSrc, + float32_t offset, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Adds a constant offset to a Q7 vector. + * @param[in] *pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_offset_q7( + q7_t * pSrc, + q7_t offset, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Adds a constant offset to a Q15 vector. + * @param[in] *pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_offset_q15( + q15_t * pSrc, + q15_t offset, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Adds a constant offset to a Q31 vector. + * @param[in] *pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_offset_q31( + q31_t * pSrc, + q31_t offset, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Negates the elements of a floating-point vector. + * @param[in] *pSrc points to the input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_negate_f32( + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Negates the elements of a Q7 vector. + * @param[in] *pSrc points to the input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_negate_q7( + q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Negates the elements of a Q15 vector. + * @param[in] *pSrc points to the input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_negate_q15( + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Negates the elements of a Q31 vector. + * @param[in] *pSrc points to the input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + void arm_negate_q31( + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + /** + * @brief Copies the elements of a floating-point vector. + * @param[in] *pSrc input pointer + * @param[out] *pDst output pointer + * @param[in] blockSize number of samples to process + * @return none. + */ + void arm_copy_f32( + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Copies the elements of a Q7 vector. + * @param[in] *pSrc input pointer + * @param[out] *pDst output pointer + * @param[in] blockSize number of samples to process + * @return none. + */ + void arm_copy_q7( + q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Copies the elements of a Q15 vector. + * @param[in] *pSrc input pointer + * @param[out] *pDst output pointer + * @param[in] blockSize number of samples to process + * @return none. + */ + void arm_copy_q15( + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Copies the elements of a Q31 vector. + * @param[in] *pSrc input pointer + * @param[out] *pDst output pointer + * @param[in] blockSize number of samples to process + * @return none. + */ + void arm_copy_q31( + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + /** + * @brief Fills a constant value into a floating-point vector. + * @param[in] value input value to be filled + * @param[out] *pDst output pointer + * @param[in] blockSize number of samples to process + * @return none. + */ + void arm_fill_f32( + float32_t value, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Fills a constant value into a Q7 vector. + * @param[in] value input value to be filled + * @param[out] *pDst output pointer + * @param[in] blockSize number of samples to process + * @return none. + */ + void arm_fill_q7( + q7_t value, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Fills a constant value into a Q15 vector. + * @param[in] value input value to be filled + * @param[out] *pDst output pointer + * @param[in] blockSize number of samples to process + * @return none. + */ + void arm_fill_q15( + q15_t value, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Fills a constant value into a Q31 vector. + * @param[in] value input value to be filled + * @param[out] *pDst output pointer + * @param[in] blockSize number of samples to process + * @return none. + */ + void arm_fill_q31( + q31_t value, + q31_t * pDst, + uint32_t blockSize); + +/** + * @brief Convolution of floating-point sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + * @return none. + */ + + void arm_conv_f32( + float32_t * pSrcA, + uint32_t srcALen, + float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst); + + + /** + * @brief Convolution of Q15 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length srcALen+srcBLen-1. + * @param[in] *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] *pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return none. + */ + + + void arm_conv_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + +/** + * @brief Convolution of Q15 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + * @return none. + */ + + void arm_conv_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + /** + * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length srcALen+srcBLen-1. + * @return none. + */ + + void arm_conv_fast_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + /** + * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length srcALen+srcBLen-1. + * @param[in] *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] *pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return none. + */ + + void arm_conv_fast_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + + + /** + * @brief Convolution of Q31 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length srcALen+srcBLen-1. + * @return none. + */ + + void arm_conv_q31( + q31_t * pSrcA, + uint32_t srcALen, + q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + /** + * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length srcALen+srcBLen-1. + * @return none. + */ + + void arm_conv_fast_q31( + q31_t * pSrcA, + uint32_t srcALen, + q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + + /** + * @brief Convolution of Q7 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length srcALen+srcBLen-1. + * @param[in] *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + * @return none. + */ + + void arm_conv_opt_q7( + q7_t * pSrcA, + uint32_t srcALen, + q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + + + /** + * @brief Convolution of Q7 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length srcALen+srcBLen-1. + * @return none. + */ + + void arm_conv_q7( + q7_t * pSrcA, + uint32_t srcALen, + q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst); + + + /** + * @brief Partial convolution of floating-point sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + + arm_status arm_conv_partial_f32( + float32_t * pSrcA, + uint32_t srcALen, + float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + /** + * @brief Partial convolution of Q15 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] * pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] * pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + + arm_status arm_conv_partial_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2); + + +/** + * @brief Partial convolution of Q15 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + + arm_status arm_conv_partial_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + /** + * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + + arm_status arm_conv_partial_fast_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] * pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] * pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + + arm_status arm_conv_partial_fast_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Partial convolution of Q31 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + + arm_status arm_conv_partial_q31( + q31_t * pSrcA, + uint32_t srcALen, + q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + + arm_status arm_conv_partial_fast_q31( + q31_t * pSrcA, + uint32_t srcALen, + q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q7 sequences + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + + arm_status arm_conv_partial_opt_q7( + q7_t * pSrcA, + uint32_t srcALen, + q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2); + + +/** + * @brief Partial convolution of Q7 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + + arm_status arm_conv_partial_q7( + q7_t * pSrcA, + uint32_t srcALen, + q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + + /** + * @brief Instance structure for the Q15 FIR decimator. + */ + + typedef struct + { + uint8_t M; /**< decimation factor. */ + uint16_t numTaps; /**< number of coefficients in the filter. */ + q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + } arm_fir_decimate_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR decimator. + */ + + typedef struct + { + uint8_t M; /**< decimation factor. */ + uint16_t numTaps; /**< number of coefficients in the filter. */ + q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + + } arm_fir_decimate_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR decimator. + */ + + typedef struct + { + uint8_t M; /**< decimation factor. */ + uint16_t numTaps; /**< number of coefficients in the filter. */ + float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + + } arm_fir_decimate_instance_f32; + + + + /** + * @brief Processing function for the floating-point FIR decimator. + * @param[in] *S points to an instance of the floating-point FIR decimator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + * @return none + */ + + void arm_fir_decimate_f32( + const arm_fir_decimate_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the floating-point FIR decimator. + * @param[in,out] *S points to an instance of the floating-point FIR decimator structure. + * @param[in] numTaps number of coefficients in the filter. + * @param[in] M decimation factor. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * blockSize is not a multiple of M. + */ + + arm_status arm_fir_decimate_init_f32( + arm_fir_decimate_instance_f32 * S, + uint16_t numTaps, + uint8_t M, + float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the Q15 FIR decimator. + * @param[in] *S points to an instance of the Q15 FIR decimator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + * @return none + */ + + void arm_fir_decimate_q15( + const arm_fir_decimate_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. + * @param[in] *S points to an instance of the Q15 FIR decimator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + * @return none + */ + + void arm_fir_decimate_fast_q15( + const arm_fir_decimate_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + + /** + * @brief Initialization function for the Q15 FIR decimator. + * @param[in,out] *S points to an instance of the Q15 FIR decimator structure. + * @param[in] numTaps number of coefficients in the filter. + * @param[in] M decimation factor. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * blockSize is not a multiple of M. + */ + + arm_status arm_fir_decimate_init_q15( + arm_fir_decimate_instance_q15 * S, + uint16_t numTaps, + uint8_t M, + q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 FIR decimator. + * @param[in] *S points to an instance of the Q31 FIR decimator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + * @return none + */ + + void arm_fir_decimate_q31( + const arm_fir_decimate_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. + * @param[in] *S points to an instance of the Q31 FIR decimator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + * @return none + */ + + void arm_fir_decimate_fast_q31( + arm_fir_decimate_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 FIR decimator. + * @param[in,out] *S points to an instance of the Q31 FIR decimator structure. + * @param[in] numTaps number of coefficients in the filter. + * @param[in] M decimation factor. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * blockSize is not a multiple of M. + */ + + arm_status arm_fir_decimate_init_q31( + arm_fir_decimate_instance_q31 * S, + uint16_t numTaps, + uint8_t M, + q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize); + + + + /** + * @brief Instance structure for the Q15 FIR interpolator. + */ + + typedef struct + { + uint8_t L; /**< upsample factor. */ + uint16_t phaseLength; /**< length of each polyphase filter component. */ + q15_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ + q15_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */ + } arm_fir_interpolate_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR interpolator. + */ + + typedef struct + { + uint8_t L; /**< upsample factor. */ + uint16_t phaseLength; /**< length of each polyphase filter component. */ + q31_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ + q31_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */ + } arm_fir_interpolate_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR interpolator. + */ + + typedef struct + { + uint8_t L; /**< upsample factor. */ + uint16_t phaseLength; /**< length of each polyphase filter component. */ + float32_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ + float32_t *pState; /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */ + } arm_fir_interpolate_instance_f32; + + + /** + * @brief Processing function for the Q15 FIR interpolator. + * @param[in] *S points to an instance of the Q15 FIR interpolator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + * @return none. + */ + + void arm_fir_interpolate_q15( + const arm_fir_interpolate_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q15 FIR interpolator. + * @param[in,out] *S points to an instance of the Q15 FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] *pCoeffs points to the filter coefficient buffer. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + */ + + arm_status arm_fir_interpolate_init_q15( + arm_fir_interpolate_instance_q15 * S, + uint8_t L, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 FIR interpolator. + * @param[in] *S points to an instance of the Q15 FIR interpolator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + * @return none. + */ + + void arm_fir_interpolate_q31( + const arm_fir_interpolate_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q31 FIR interpolator. + * @param[in,out] *S points to an instance of the Q31 FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] *pCoeffs points to the filter coefficient buffer. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + */ + + arm_status arm_fir_interpolate_init_q31( + arm_fir_interpolate_instance_q31 * S, + uint8_t L, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the floating-point FIR interpolator. + * @param[in] *S points to an instance of the floating-point FIR interpolator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + * @return none. + */ + + void arm_fir_interpolate_f32( + const arm_fir_interpolate_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point FIR interpolator. + * @param[in,out] *S points to an instance of the floating-point FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] *pCoeffs points to the filter coefficient buffer. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + */ + + arm_status arm_fir_interpolate_init_f32( + arm_fir_interpolate_instance_f32 * S, + uint8_t L, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize); + + /** + * @brief Instance structure for the high precision Q31 Biquad cascade filter. + */ + + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + q63_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */ + q31_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + uint8_t postShift; /**< additional shift, in bits, applied to each output sample. */ + + } arm_biquad_cas_df1_32x64_ins_q31; + + + /** + * @param[in] *S points to an instance of the high precision Q31 Biquad cascade filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_biquad_cas_df1_32x64_q31( + const arm_biquad_cas_df1_32x64_ins_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @param[in,out] *S points to an instance of the high precision Q31 Biquad cascade filter structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] postShift shift to be applied to the output. Varies according to the coefficients format + * @return none + */ + + void arm_biquad_cas_df1_32x64_init_q31( + arm_biquad_cas_df1_32x64_ins_q31 * S, + uint8_t numStages, + q31_t * pCoeffs, + q63_t * pState, + uint8_t postShift); + + + + /** + * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. + */ + + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float32_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */ + float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_cascade_df2T_instance_f32; + + + + /** + * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. + */ + + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float32_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */ + float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_cascade_stereo_df2T_instance_f32; + + + + /** + * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. + */ + + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float64_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */ + float64_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_cascade_df2T_instance_f64; + + + /** + * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in] *S points to an instance of the filter data structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_biquad_cascade_df2T_f32( + const arm_biquad_cascade_df2T_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels + * @param[in] *S points to an instance of the filter data structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_biquad_cascade_stereo_df2T_f32( + const arm_biquad_cascade_stereo_df2T_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in] *S points to an instance of the filter data structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_biquad_cascade_df2T_f64( + const arm_biquad_cascade_df2T_instance_f64 * S, + float64_t * pSrc, + float64_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] *S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @return none + */ + + void arm_biquad_cascade_df2T_init_f32( + arm_biquad_cascade_df2T_instance_f32 * S, + uint8_t numStages, + float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] *S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @return none + */ + + void arm_biquad_cascade_stereo_df2T_init_f32( + arm_biquad_cascade_stereo_df2T_instance_f32 * S, + uint8_t numStages, + float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] *S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @return none + */ + + void arm_biquad_cascade_df2T_init_f64( + arm_biquad_cascade_df2T_instance_f64 * S, + uint8_t numStages, + float64_t * pCoeffs, + float64_t * pState); + + + + /** + * @brief Instance structure for the Q15 FIR lattice filter. + */ + + typedef struct + { + uint16_t numStages; /**< number of filter stages. */ + q15_t *pState; /**< points to the state variable array. The array is of length numStages. */ + q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ + } arm_fir_lattice_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR lattice filter. + */ + + typedef struct + { + uint16_t numStages; /**< number of filter stages. */ + q31_t *pState; /**< points to the state variable array. The array is of length numStages. */ + q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ + } arm_fir_lattice_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR lattice filter. + */ + + typedef struct + { + uint16_t numStages; /**< number of filter stages. */ + float32_t *pState; /**< points to the state variable array. The array is of length numStages. */ + float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ + } arm_fir_lattice_instance_f32; + + /** + * @brief Initialization function for the Q15 FIR lattice filter. + * @param[in] *S points to an instance of the Q15 FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] *pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] *pState points to the state buffer. The array is of length numStages. + * @return none. + */ + + void arm_fir_lattice_init_q15( + arm_fir_lattice_instance_q15 * S, + uint16_t numStages, + q15_t * pCoeffs, + q15_t * pState); + + + /** + * @brief Processing function for the Q15 FIR lattice filter. + * @param[in] *S points to an instance of the Q15 FIR lattice structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + void arm_fir_lattice_q15( + const arm_fir_lattice_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q31 FIR lattice filter. + * @param[in] *S points to an instance of the Q31 FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] *pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] *pState points to the state buffer. The array is of length numStages. + * @return none. + */ + + void arm_fir_lattice_init_q31( + arm_fir_lattice_instance_q31 * S, + uint16_t numStages, + q31_t * pCoeffs, + q31_t * pState); + + + /** + * @brief Processing function for the Q31 FIR lattice filter. + * @param[in] *S points to an instance of the Q31 FIR lattice structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_fir_lattice_q31( + const arm_fir_lattice_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + +/** + * @brief Initialization function for the floating-point FIR lattice filter. + * @param[in] *S points to an instance of the floating-point FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] *pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] *pState points to the state buffer. The array is of length numStages. + * @return none. + */ + + void arm_fir_lattice_init_f32( + arm_fir_lattice_instance_f32 * S, + uint16_t numStages, + float32_t * pCoeffs, + float32_t * pState); + + /** + * @brief Processing function for the floating-point FIR lattice filter. + * @param[in] *S points to an instance of the floating-point FIR lattice structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_fir_lattice_f32( + const arm_fir_lattice_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Instance structure for the Q15 IIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of stages in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ + q15_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ + q15_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ + } arm_iir_lattice_instance_q15; + + /** + * @brief Instance structure for the Q31 IIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of stages in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ + q31_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ + q31_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ + } arm_iir_lattice_instance_q31; + + /** + * @brief Instance structure for the floating-point IIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of stages in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ + float32_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ + float32_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ + } arm_iir_lattice_instance_f32; + + /** + * @brief Processing function for the floating-point IIR lattice filter. + * @param[in] *S points to an instance of the floating-point IIR lattice structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_iir_lattice_f32( + const arm_iir_lattice_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point IIR lattice filter. + * @param[in] *S points to an instance of the floating-point IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] *pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. + * @param[in] *pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. + * @param[in] *pState points to the state buffer. The array is of length numStages+blockSize-1. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_iir_lattice_init_f32( + arm_iir_lattice_instance_f32 * S, + uint16_t numStages, + float32_t * pkCoeffs, + float32_t * pvCoeffs, + float32_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 IIR lattice filter. + * @param[in] *S points to an instance of the Q31 IIR lattice structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_iir_lattice_q31( + const arm_iir_lattice_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 IIR lattice filter. + * @param[in] *S points to an instance of the Q31 IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] *pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. + * @param[in] *pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. + * @param[in] *pState points to the state buffer. The array is of length numStages+blockSize. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_iir_lattice_init_q31( + arm_iir_lattice_instance_q31 * S, + uint16_t numStages, + q31_t * pkCoeffs, + q31_t * pvCoeffs, + q31_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 IIR lattice filter. + * @param[in] *S points to an instance of the Q15 IIR lattice structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_iir_lattice_q15( + const arm_iir_lattice_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + +/** + * @brief Initialization function for the Q15 IIR lattice filter. + * @param[in] *S points to an instance of the fixed-point Q15 IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] *pkCoeffs points to reflection coefficient buffer. The array is of length numStages. + * @param[in] *pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1. + * @param[in] *pState points to state buffer. The array is of length numStages+blockSize. + * @param[in] blockSize number of samples to process per call. + * @return none. + */ + + void arm_iir_lattice_init_q15( + arm_iir_lattice_instance_q15 * S, + uint16_t numStages, + q15_t * pkCoeffs, + q15_t * pvCoeffs, + q15_t * pState, + uint32_t blockSize); + + /** + * @brief Instance structure for the floating-point LMS filter. + */ + + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + float32_t mu; /**< step size that controls filter coefficient updates. */ + } arm_lms_instance_f32; + + /** + * @brief Processing function for floating-point LMS filter. + * @param[in] *S points to an instance of the floating-point LMS filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[in] *pRef points to the block of reference data. + * @param[out] *pOut points to the block of output data. + * @param[out] *pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_lms_f32( + const arm_lms_instance_f32 * S, + float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize); + + /** + * @brief Initialization function for floating-point LMS filter. + * @param[in] *S points to an instance of the floating-point LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] *pCoeffs points to the coefficient buffer. + * @param[in] *pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_lms_init_f32( + arm_lms_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + float32_t mu, + uint32_t blockSize); + + /** + * @brief Instance structure for the Q15 LMS filter. + */ + + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q15_t mu; /**< step size that controls filter coefficient updates. */ + uint32_t postShift; /**< bit shift applied to coefficients. */ + } arm_lms_instance_q15; + + + /** + * @brief Initialization function for the Q15 LMS filter. + * @param[in] *S points to an instance of the Q15 LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] *pCoeffs points to the coefficient buffer. + * @param[in] *pState points to the state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + * @return none. + */ + + void arm_lms_init_q15( + arm_lms_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + q15_t mu, + uint32_t blockSize, + uint32_t postShift); + + /** + * @brief Processing function for Q15 LMS filter. + * @param[in] *S points to an instance of the Q15 LMS filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[in] *pRef points to the block of reference data. + * @param[out] *pOut points to the block of output data. + * @param[out] *pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_lms_q15( + const arm_lms_instance_q15 * S, + q15_t * pSrc, + q15_t * pRef, + q15_t * pOut, + q15_t * pErr, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q31 LMS filter. + */ + + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q31_t mu; /**< step size that controls filter coefficient updates. */ + uint32_t postShift; /**< bit shift applied to coefficients. */ + + } arm_lms_instance_q31; + + /** + * @brief Processing function for Q31 LMS filter. + * @param[in] *S points to an instance of the Q15 LMS filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[in] *pRef points to the block of reference data. + * @param[out] *pOut points to the block of output data. + * @param[out] *pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_lms_q31( + const arm_lms_instance_q31 * S, + q31_t * pSrc, + q31_t * pRef, + q31_t * pOut, + q31_t * pErr, + uint32_t blockSize); + + /** + * @brief Initialization function for Q31 LMS filter. + * @param[in] *S points to an instance of the Q31 LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] *pCoeffs points to coefficient buffer. + * @param[in] *pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + * @return none. + */ + + void arm_lms_init_q31( + arm_lms_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + q31_t mu, + uint32_t blockSize, + uint32_t postShift); + + /** + * @brief Instance structure for the floating-point normalized LMS filter. + */ + + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + float32_t mu; /**< step size that control filter coefficient updates. */ + float32_t energy; /**< saves previous frame energy. */ + float32_t x0; /**< saves previous input sample. */ + } arm_lms_norm_instance_f32; + + /** + * @brief Processing function for floating-point normalized LMS filter. + * @param[in] *S points to an instance of the floating-point normalized LMS filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[in] *pRef points to the block of reference data. + * @param[out] *pOut points to the block of output data. + * @param[out] *pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_lms_norm_f32( + arm_lms_norm_instance_f32 * S, + float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize); + + /** + * @brief Initialization function for floating-point normalized LMS filter. + * @param[in] *S points to an instance of the floating-point LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] *pCoeffs points to coefficient buffer. + * @param[in] *pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_lms_norm_init_f32( + arm_lms_norm_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + float32_t mu, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q31 normalized LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q31_t mu; /**< step size that controls filter coefficient updates. */ + uint8_t postShift; /**< bit shift applied to coefficients. */ + q31_t *recipTable; /**< points to the reciprocal initial value table. */ + q31_t energy; /**< saves previous frame energy. */ + q31_t x0; /**< saves previous input sample. */ + } arm_lms_norm_instance_q31; + + /** + * @brief Processing function for Q31 normalized LMS filter. + * @param[in] *S points to an instance of the Q31 normalized LMS filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[in] *pRef points to the block of reference data. + * @param[out] *pOut points to the block of output data. + * @param[out] *pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_lms_norm_q31( + arm_lms_norm_instance_q31 * S, + q31_t * pSrc, + q31_t * pRef, + q31_t * pOut, + q31_t * pErr, + uint32_t blockSize); + + /** + * @brief Initialization function for Q31 normalized LMS filter. + * @param[in] *S points to an instance of the Q31 normalized LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] *pCoeffs points to coefficient buffer. + * @param[in] *pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + * @return none. + */ + + void arm_lms_norm_init_q31( + arm_lms_norm_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + q31_t mu, + uint32_t blockSize, + uint8_t postShift); + + /** + * @brief Instance structure for the Q15 normalized LMS filter. + */ + + typedef struct + { + uint16_t numTaps; /**< Number of coefficients in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q15_t mu; /**< step size that controls filter coefficient updates. */ + uint8_t postShift; /**< bit shift applied to coefficients. */ + q15_t *recipTable; /**< Points to the reciprocal initial value table. */ + q15_t energy; /**< saves previous frame energy. */ + q15_t x0; /**< saves previous input sample. */ + } arm_lms_norm_instance_q15; + + /** + * @brief Processing function for Q15 normalized LMS filter. + * @param[in] *S points to an instance of the Q15 normalized LMS filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[in] *pRef points to the block of reference data. + * @param[out] *pOut points to the block of output data. + * @param[out] *pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + + void arm_lms_norm_q15( + arm_lms_norm_instance_q15 * S, + q15_t * pSrc, + q15_t * pRef, + q15_t * pOut, + q15_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for Q15 normalized LMS filter. + * @param[in] *S points to an instance of the Q15 normalized LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] *pCoeffs points to coefficient buffer. + * @param[in] *pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + * @return none. + */ + + void arm_lms_norm_init_q15( + arm_lms_norm_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + q15_t mu, + uint32_t blockSize, + uint8_t postShift); + + /** + * @brief Correlation of floating-point sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + * @return none. + */ + + void arm_correlate_f32( + float32_t * pSrcA, + uint32_t srcALen, + float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst); + + + /** + * @brief Correlation of Q15 sequences + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + * @param[in] *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @return none. + */ + void arm_correlate_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch); + + + /** + * @brief Correlation of Q15 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + * @return none. + */ + + void arm_correlate_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + /** + * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + * @return none. + */ + + void arm_correlate_fast_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + + + /** + * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + * @param[in] *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @return none. + */ + + void arm_correlate_fast_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch); + + /** + * @brief Correlation of Q31 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + * @return none. + */ + + void arm_correlate_q31( + q31_t * pSrcA, + uint32_t srcALen, + q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + /** + * @brief Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + * @return none. + */ + + void arm_correlate_fast_q31( + q31_t * pSrcA, + uint32_t srcALen, + q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + + + /** + * @brief Correlation of Q7 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + * @param[in] *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + * @return none. + */ + + void arm_correlate_opt_q7( + q7_t * pSrcA, + uint32_t srcALen, + q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Correlation of Q7 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + * @return none. + */ + + void arm_correlate_q7( + q7_t * pSrcA, + uint32_t srcALen, + q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst); + + + /** + * @brief Instance structure for the floating-point sparse FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + float32_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_f32; + + /** + * @brief Instance structure for the Q31 sparse FIR filter. + */ + + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + q31_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_q31; + + /** + * @brief Instance structure for the Q15 sparse FIR filter. + */ + + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + q15_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_q15; + + /** + * @brief Instance structure for the Q7 sparse FIR filter. + */ + + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + q7_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_q7; + + /** + * @brief Processing function for the floating-point sparse FIR filter. + * @param[in] *S points to an instance of the floating-point sparse FIR structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] *pScratchIn points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + * @return none. + */ + + void arm_fir_sparse_f32( + arm_fir_sparse_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + float32_t * pScratchIn, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point sparse FIR filter. + * @param[in,out] *S points to an instance of the floating-point sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] *pCoeffs points to the array of filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] *pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + * @return none + */ + + void arm_fir_sparse_init_f32( + arm_fir_sparse_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 sparse FIR filter. + * @param[in] *S points to an instance of the Q31 sparse FIR structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] *pScratchIn points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + * @return none. + */ + + void arm_fir_sparse_q31( + arm_fir_sparse_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + q31_t * pScratchIn, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q31 sparse FIR filter. + * @param[in,out] *S points to an instance of the Q31 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] *pCoeffs points to the array of filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] *pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + * @return none + */ + + void arm_fir_sparse_init_q31( + arm_fir_sparse_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + /** + * @brief Processing function for the Q15 sparse FIR filter. + * @param[in] *S points to an instance of the Q15 sparse FIR structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] *pScratchIn points to a temporary buffer of size blockSize. + * @param[in] *pScratchOut points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + * @return none. + */ + + void arm_fir_sparse_q15( + arm_fir_sparse_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + q15_t * pScratchIn, + q31_t * pScratchOut, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q15 sparse FIR filter. + * @param[in,out] *S points to an instance of the Q15 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] *pCoeffs points to the array of filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] *pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + * @return none + */ + + void arm_fir_sparse_init_q15( + arm_fir_sparse_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + /** + * @brief Processing function for the Q7 sparse FIR filter. + * @param[in] *S points to an instance of the Q7 sparse FIR structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] *pScratchIn points to a temporary buffer of size blockSize. + * @param[in] *pScratchOut points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + * @return none. + */ + + void arm_fir_sparse_q7( + arm_fir_sparse_instance_q7 * S, + q7_t * pSrc, + q7_t * pDst, + q7_t * pScratchIn, + q31_t * pScratchOut, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q7 sparse FIR filter. + * @param[in,out] *S points to an instance of the Q7 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] *pCoeffs points to the array of filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] *pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + * @return none + */ + + void arm_fir_sparse_init_q7( + arm_fir_sparse_instance_q7 * S, + uint16_t numTaps, + q7_t * pCoeffs, + q7_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + + /* + * @brief Floating-point sin_cos function. + * @param[in] theta input value in degrees + * @param[out] *pSinVal points to the processed sine output. + * @param[out] *pCosVal points to the processed cos output. + * @return none. + */ + + void arm_sin_cos_f32( + float32_t theta, + float32_t * pSinVal, + float32_t * pCcosVal); + + /* + * @brief Q31 sin_cos function. + * @param[in] theta scaled input value in degrees + * @param[out] *pSinVal points to the processed sine output. + * @param[out] *pCosVal points to the processed cosine output. + * @return none. + */ + + void arm_sin_cos_q31( + q31_t theta, + q31_t * pSinVal, + q31_t * pCosVal); + + + /** + * @brief Floating-point complex conjugate. + * @param[in] *pSrc points to the input vector + * @param[out] *pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + * @return none. + */ + + void arm_cmplx_conj_f32( + float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples); + + /** + * @brief Q31 complex conjugate. + * @param[in] *pSrc points to the input vector + * @param[out] *pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + * @return none. + */ + + void arm_cmplx_conj_q31( + q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples); + + /** + * @brief Q15 complex conjugate. + * @param[in] *pSrc points to the input vector + * @param[out] *pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + * @return none. + */ + + void arm_cmplx_conj_q15( + q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples); + + + + /** + * @brief Floating-point complex magnitude squared + * @param[in] *pSrc points to the complex input vector + * @param[out] *pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + * @return none. + */ + + void arm_cmplx_mag_squared_f32( + float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples); + + /** + * @brief Q31 complex magnitude squared + * @param[in] *pSrc points to the complex input vector + * @param[out] *pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + * @return none. + */ + + void arm_cmplx_mag_squared_q31( + q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples); + + /** + * @brief Q15 complex magnitude squared + * @param[in] *pSrc points to the complex input vector + * @param[out] *pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + * @return none. + */ + + void arm_cmplx_mag_squared_q15( + q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples); + + + /** + * @ingroup groupController + */ + + /** + * @defgroup PID PID Motor Control + * + * A Proportional Integral Derivative (PID) controller is a generic feedback control + * loop mechanism widely used in industrial control systems. + * A PID controller is the most commonly used type of feedback controller. + * + * This set of functions implements (PID) controllers + * for Q15, Q31, and floating-point data types. The functions operate on a single sample + * of data and each call to the function returns a single processed value. + * S points to an instance of the PID control data structure. in + * is the input sample value. The functions return the output value. + * + * \par Algorithm: + * 
+   *    y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]
+   *    A0 = Kp + Ki + Kd
+   *    A1 = (-Kp ) - (2 * Kd )
+   *    A2 = Kd
+ * + * \par + * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant + * + * \par + * \image html PID.gif "Proportional Integral Derivative Controller" + * + * \par + * The PID controller calculates an "error" value as the difference between + * the measured output and the reference input. + * The controller attempts to minimize the error by adjusting the process control inputs. + * The proportional value determines the reaction to the current error, + * the integral value determines the reaction based on the sum of recent errors, + * and the derivative value determines the reaction based on the rate at which the error has been changing. + * + * \par Instance Structure + * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure. + * A separate instance structure must be defined for each PID Controller. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Reset Functions + * There is also an associated reset function for each data type which clears the state array. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains. + * - Zeros out the values in the state buffer. + * + * \par + * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function. + * + * \par Fixed-Point Behavior + * Care must be taken when using the fixed-point versions of the PID Controller functions. + * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup PID + * @{ + */ + + /** + * @brief Process function for the floating-point PID Control. + * @param[in,out] *S is an instance of the floating-point PID Control structure + * @param[in] in input sample to process + * @return out processed output sample. + */ + + + static __INLINE float32_t arm_pid_f32( + arm_pid_instance_f32 * S, + float32_t in) + { + float32_t out; + + /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2] */ + out = (S->A0 * in) + + (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]); + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + + } + + /** + * @brief Process function for the Q31 PID Control. + * @param[in,out] *S points to an instance of the Q31 PID Control structure + * @param[in] in input sample to process + * @return out processed output sample. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using an internal 64-bit accumulator. + * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * Thus, if the accumulator result overflows it wraps around rather than clip. + * In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions. + * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. + */ + + static __INLINE q31_t arm_pid_q31( + arm_pid_instance_q31 * S, + q31_t in) + { + q63_t acc; + q31_t out; + + /* acc = A0 * x[n] */ + acc = (q63_t) S->A0 * in; + + /* acc += A1 * x[n-1] */ + acc += (q63_t) S->A1 * S->state[0]; + + /* acc += A2 * x[n-2] */ + acc += (q63_t) S->A2 * S->state[1]; + + /* convert output to 1.31 format to add y[n-1] */ + out = (q31_t) (acc >> 31u); + + /* out += y[n-1] */ + out += S->state[2]; + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + + } + + /** + * @brief Process function for the Q15 PID Control. + * @param[in,out] *S points to an instance of the Q15 PID Control structure + * @param[in] in input sample to process + * @return out processed output sample. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using a 64-bit internal accumulator. + * Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + * Lastly, the accumulator is saturated to yield a result in 1.15 format. + */ + + static __INLINE q15_t arm_pid_q15( + arm_pid_instance_q15 * S, + q15_t in) + { + q63_t acc; + q15_t out; + +#ifndef ARM_MATH_CM0_FAMILY + __SIMD32_TYPE *vstate; + + /* Implementation of PID controller */ + + /* acc = A0 * x[n] */ + acc = (q31_t) __SMUAD(S->A0, in); + + /* acc += A1 * x[n-1] + A2 * x[n-2] */ + vstate = __SIMD32_CONST(S->state); + acc = __SMLALD(S->A1, (q31_t) *vstate, acc); + +#else + /* acc = A0 * x[n] */ + acc = ((q31_t) S->A0) * in; + + /* acc += A1 * x[n-1] + A2 * x[n-2] */ + acc += (q31_t) S->A1 * S->state[0]; + acc += (q31_t) S->A2 * S->state[1]; + +#endif + + /* acc += y[n-1] */ + acc += (q31_t) S->state[2] << 15; + + /* saturate the output */ + out = (q15_t) (__SSAT((acc >> 15), 16)); + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + + } + + /** + * @} end of PID group + */ + + + /** + * @brief Floating-point matrix inverse. + * @param[in] *src points to the instance of the input floating-point matrix structure. + * @param[out] *dst points to the instance of the output floating-point matrix structure. + * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. + * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR. + */ + + arm_status arm_mat_inverse_f32( + const arm_matrix_instance_f32 * src, + arm_matrix_instance_f32 * dst); + + + /** + * @brief Floating-point matrix inverse. + * @param[in] *src points to the instance of the input floating-point matrix structure. + * @param[out] *dst points to the instance of the output floating-point matrix structure. + * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. + * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR. + */ + + arm_status arm_mat_inverse_f64( + const arm_matrix_instance_f64 * src, + arm_matrix_instance_f64 * dst); + + + + /** + * @ingroup groupController + */ + + + /** + * @defgroup clarke Vector Clarke Transform + * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector. + * Generally the Clarke transform uses three-phase currents Ia, Ib and Ic to calculate currents + * in the two-phase orthogonal stator axis Ialpha and Ibeta. + * When Ialpha is superposed with Ia as shown in the figure below + * \image html clarke.gif Stator current space vector and its components in (a,b). + * and Ia + Ib + Ic = 0, in this condition Ialpha and Ibeta + * can be calculated using only Ia and Ib. + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html clarkeFormula.gif + * where Ia and Ib are the instantaneous stator phases and + * pIalpha and pIbeta are the two coordinates of time invariant vector. + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Clarke transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup clarke + * @{ + */ + + /** + * + * @brief Floating-point Clarke transform + * @param[in] Ia input three-phase coordinate a + * @param[in] Ib input three-phase coordinate b + * @param[out] *pIalpha points to output two-phase orthogonal vector axis alpha + * @param[out] *pIbeta points to output two-phase orthogonal vector axis beta + * @return none. + */ + + static __INLINE void arm_clarke_f32( + float32_t Ia, + float32_t Ib, + float32_t * pIalpha, + float32_t * pIbeta) + { + /* Calculate pIalpha using the equation, pIalpha = Ia */ + *pIalpha = Ia; + + /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */ + *pIbeta = + ((float32_t) 0.57735026919 * Ia + (float32_t) 1.15470053838 * Ib); + + } + + /** + * @brief Clarke transform for Q31 version + * @param[in] Ia input three-phase coordinate a + * @param[in] Ib input three-phase coordinate b + * @param[out] *pIalpha points to output two-phase orthogonal vector axis alpha + * @param[out] *pIbeta points to output two-phase orthogonal vector axis beta + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using an internal 32-bit accumulator. + * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + * There is saturation on the addition, hence there is no risk of overflow. + */ + + static __INLINE void arm_clarke_q31( + q31_t Ia, + q31_t Ib, + q31_t * pIalpha, + q31_t * pIbeta) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + + /* Calculating pIalpha from Ia by equation pIalpha = Ia */ + *pIalpha = Ia; + + /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */ + product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30); + + /* Intermediate product is calculated by (2/sqrt(3) * Ib) */ + product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30); + + /* pIbeta is calculated by adding the intermediate products */ + *pIbeta = __QADD(product1, product2); + } + + /** + * @} end of clarke group + */ + + /** + * @brief Converts the elements of the Q7 vector to Q31 vector. + * @param[in] *pSrc input pointer + * @param[out] *pDst output pointer + * @param[in] blockSize number of samples to process + * @return none. + */ + void arm_q7_to_q31( + q7_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + + + /** + * @ingroup groupController + */ + + /** + * @defgroup inv_clarke Vector Inverse Clarke Transform + * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases. + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html clarkeInvFormula.gif + * where pIa and pIb are the instantaneous stator phases and + * Ialpha and Ibeta are the two coordinates of time invariant vector. + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Clarke transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup inv_clarke + * @{ + */ + + /** + * @brief Floating-point Inverse Clarke transform + * @param[in] Ialpha input two-phase orthogonal vector axis alpha + * @param[in] Ibeta input two-phase orthogonal vector axis beta + * @param[out] *pIa points to output three-phase coordinate a + * @param[out] *pIb points to output three-phase coordinate b + * @return none. + */ + + + static __INLINE void arm_inv_clarke_f32( + float32_t Ialpha, + float32_t Ibeta, + float32_t * pIa, + float32_t * pIb) + { + /* Calculating pIa from Ialpha by equation pIa = Ialpha */ + *pIa = Ialpha; + + /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */ + *pIb = -0.5 * Ialpha + (float32_t) 0.8660254039 *Ibeta; + + } + + /** + * @brief Inverse Clarke transform for Q31 version + * @param[in] Ialpha input two-phase orthogonal vector axis alpha + * @param[in] Ibeta input two-phase orthogonal vector axis beta + * @param[out] *pIa points to output three-phase coordinate a + * @param[out] *pIb points to output three-phase coordinate b + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using an internal 32-bit accumulator. + * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + * There is saturation on the subtraction, hence there is no risk of overflow. + */ + + static __INLINE void arm_inv_clarke_q31( + q31_t Ialpha, + q31_t Ibeta, + q31_t * pIa, + q31_t * pIb) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + + /* Calculating pIa from Ialpha by equation pIa = Ialpha */ + *pIa = Ialpha; + + /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */ + product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31); + + /* Intermediate product is calculated by (1/sqrt(3) * pIb) */ + product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31); + + /* pIb is calculated by subtracting the products */ + *pIb = __QSUB(product2, product1); + + } + + /** + * @} end of inv_clarke group + */ + + /** + * @brief Converts the elements of the Q7 vector to Q15 vector. + * @param[in] *pSrc input pointer + * @param[out] *pDst output pointer + * @param[in] blockSize number of samples to process + * @return none. + */ + void arm_q7_to_q15( + q7_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + + /** + * @ingroup groupController + */ + + /** + * @defgroup park Vector Park Transform + * + * Forward Park transform converts the input two-coordinate vector to flux and torque components. + * The Park transform can be used to realize the transformation of the Ialpha and the Ibeta currents + * from the stationary to the moving reference frame and control the spatial relationship between + * the stator vector current and rotor flux vector. + * If we consider the d axis aligned with the rotor flux, the diagram below shows the + * current vector and the relationship from the two reference frames: + * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame" + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html parkFormula.gif + * where Ialpha and Ibeta are the stator vector components, + * pId and pIq are rotor vector components and cosVal and sinVal are the + * cosine and sine values of theta (rotor flux position). + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Park transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup park + * @{ + */ + + /** + * @brief Floating-point Park transform + * @param[in] Ialpha input two-phase vector coordinate alpha + * @param[in] Ibeta input two-phase vector coordinate beta + * @param[out] *pId points to output rotor reference frame d + * @param[out] *pIq points to output rotor reference frame q + * @param[in] sinVal sine value of rotation angle theta + * @param[in] cosVal cosine value of rotation angle theta + * @return none. + * + * The function implements the forward Park transform. + * + */ + + static __INLINE void arm_park_f32( + float32_t Ialpha, + float32_t Ibeta, + float32_t * pId, + float32_t * pIq, + float32_t sinVal, + float32_t cosVal) + { + /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */ + *pId = Ialpha * cosVal + Ibeta * sinVal; + + /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */ + *pIq = -Ialpha * sinVal + Ibeta * cosVal; + + } + + /** + * @brief Park transform for Q31 version + * @param[in] Ialpha input two-phase vector coordinate alpha + * @param[in] Ibeta input two-phase vector coordinate beta + * @param[out] *pId points to output rotor reference frame d + * @param[out] *pIq points to output rotor reference frame q + * @param[in] sinVal sine value of rotation angle theta + * @param[in] cosVal cosine value of rotation angle theta + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using an internal 32-bit accumulator. + * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + * There is saturation on the addition and subtraction, hence there is no risk of overflow. + */ + + + static __INLINE void arm_park_q31( + q31_t Ialpha, + q31_t Ibeta, + q31_t * pId, + q31_t * pIq, + q31_t sinVal, + q31_t cosVal) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + q31_t product3, product4; /* Temporary variables used to store intermediate results */ + + /* Intermediate product is calculated by (Ialpha * cosVal) */ + product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31); + + /* Intermediate product is calculated by (Ibeta * sinVal) */ + product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31); + + + /* Intermediate product is calculated by (Ialpha * sinVal) */ + product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31); + + /* Intermediate product is calculated by (Ibeta * cosVal) */ + product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31); + + /* Calculate pId by adding the two intermediate products 1 and 2 */ + *pId = __QADD(product1, product2); + + /* Calculate pIq by subtracting the two intermediate products 3 from 4 */ + *pIq = __QSUB(product4, product3); + } + + /** + * @} end of park group + */ + + /** + * @brief Converts the elements of the Q7 vector to floating-point vector. + * @param[in] *pSrc is input pointer + * @param[out] *pDst is output pointer + * @param[in] blockSize is the number of samples to process + * @return none. + */ + void arm_q7_to_float( + q7_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @ingroup groupController + */ + + /** + * @defgroup inv_park Vector Inverse Park transform + * Inverse Park transform converts the input flux and torque components to two-coordinate vector. + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html parkInvFormula.gif + * where pIalpha and pIbeta are the stator vector components, + * Id and Iq are rotor vector components and cosVal and sinVal are the + * cosine and sine values of theta (rotor flux position). + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Park transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup inv_park + * @{ + */ + + /** + * @brief Floating-point Inverse Park transform + * @param[in] Id input coordinate of rotor reference frame d + * @param[in] Iq input coordinate of rotor reference frame q + * @param[out] *pIalpha points to output two-phase orthogonal vector axis alpha + * @param[out] *pIbeta points to output two-phase orthogonal vector axis beta + * @param[in] sinVal sine value of rotation angle theta + * @param[in] cosVal cosine value of rotation angle theta + * @return none. + */ + + static __INLINE void arm_inv_park_f32( + float32_t Id, + float32_t Iq, + float32_t * pIalpha, + float32_t * pIbeta, + float32_t sinVal, + float32_t cosVal) + { + /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */ + *pIalpha = Id * cosVal - Iq * sinVal; + + /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */ + *pIbeta = Id * sinVal + Iq * cosVal; + + } + + + /** + * @brief Inverse Park transform for Q31 version + * @param[in] Id input coordinate of rotor reference frame d + * @param[in] Iq input coordinate of rotor reference frame q + * @param[out] *pIalpha points to output two-phase orthogonal vector axis alpha + * @param[out] *pIbeta points to output two-phase orthogonal vector axis beta + * @param[in] sinVal sine value of rotation angle theta + * @param[in] cosVal cosine value of rotation angle theta + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using an internal 32-bit accumulator. + * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + * There is saturation on the addition, hence there is no risk of overflow. + */ + + + static __INLINE void arm_inv_park_q31( + q31_t Id, + q31_t Iq, + q31_t * pIalpha, + q31_t * pIbeta, + q31_t sinVal, + q31_t cosVal) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + q31_t product3, product4; /* Temporary variables used to store intermediate results */ + + /* Intermediate product is calculated by (Id * cosVal) */ + product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31); + + /* Intermediate product is calculated by (Iq * sinVal) */ + product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31); + + + /* Intermediate product is calculated by (Id * sinVal) */ + product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31); + + /* Intermediate product is calculated by (Iq * cosVal) */ + product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31); + + /* Calculate pIalpha by using the two intermediate products 1 and 2 */ + *pIalpha = __QSUB(product1, product2); + + /* Calculate pIbeta by using the two intermediate products 3 and 4 */ + *pIbeta = __QADD(product4, product3); + + } + + /** + * @} end of Inverse park group + */ + + + /** + * @brief Converts the elements of the Q31 vector to floating-point vector. + * @param[in] *pSrc is input pointer + * @param[out] *pDst is output pointer + * @param[in] blockSize is the number of samples to process + * @return none. + */ + void arm_q31_to_float( + q31_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @ingroup groupInterpolation + */ + + /** + * @defgroup LinearInterpolate Linear Interpolation + * + * Linear interpolation is a method of curve fitting using linear polynomials. + * Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line + * + * \par + * \image html LinearInterp.gif "Linear interpolation" + * + * \par + * A Linear Interpolate function calculates an output value(y), for the input(x) + * using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values) + * + * \par Algorithm: + * 
+   *       y = y0 + (x - x0) * ((y1 - y0)/(x1-x0))
+   *       where x0, x1 are nearest values of input x
+   *             y0, y1 are nearest values to output y
+   *
+ * + * \par + * This set of functions implements Linear interpolation process + * for Q7, Q15, Q31, and floating-point data types. The functions operate on a single + * sample of data and each call to the function returns a single processed value. + * S points to an instance of the Linear Interpolate function data structure. + * x is the input sample value. The functions returns the output value. + * + * \par + * if x is outside of the table boundary, Linear interpolation returns first value of the table + * if x is below input range and returns last value of table if x is above range. + */ + + /** + * @addtogroup LinearInterpolate + * @{ + */ + + /** + * @brief Process function for the floating-point Linear Interpolation Function. + * @param[in,out] *S is an instance of the floating-point Linear Interpolation structure + * @param[in] x input sample to process + * @return y processed output sample. + * + */ + + static __INLINE float32_t arm_linear_interp_f32( + arm_linear_interp_instance_f32 * S, + float32_t x) + { + + float32_t y; + float32_t x0, x1; /* Nearest input values */ + float32_t y0, y1; /* Nearest output values */ + float32_t xSpacing = S->xSpacing; /* spacing between input values */ + int32_t i; /* Index variable */ + float32_t *pYData = S->pYData; /* pointer to output table */ + + /* Calculation of index */ + i = (int32_t) ((x - S->x1) / xSpacing); + + if(i < 0) + { + /* Iniatilize output for below specified range as least output value of table */ + y = pYData[0]; + } + else if((uint32_t)i >= S->nValues) + { + /* Iniatilize output for above specified range as last output value of table */ + y = pYData[S->nValues - 1]; + } + else + { + /* Calculation of nearest input values */ + x0 = S->x1 + i * xSpacing; + x1 = S->x1 + (i + 1) * xSpacing; + + /* Read of nearest output values */ + y0 = pYData[i]; + y1 = pYData[i + 1]; + + /* Calculation of output */ + y = y0 + (x - x0) * ((y1 - y0) / (x1 - x0)); + + } + + /* returns output value */ + return (y); + } + + /** + * + * @brief Process function for the Q31 Linear Interpolation Function. + * @param[in] *pYData pointer to Q31 Linear Interpolation table + * @param[in] x input sample to process + * @param[in] nValues number of table values + * @return y processed output sample. + * + * \par + * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. + * This function can support maximum of table size 2^12. + * + */ + + + static __INLINE q31_t arm_linear_interp_q31( + q31_t * pYData, + q31_t x, + uint32_t nValues) + { + q31_t y; /* output */ + q31_t y0, y1; /* Nearest output values */ + q31_t fract; /* fractional part */ + int32_t index; /* Index to read nearest output values */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + index = ((x & 0xFFF00000) >> 20); + + if(index >= (int32_t)(nValues - 1)) + { + return (pYData[nValues - 1]); + } + else if(index < 0) + { + return (pYData[0]); + } + else + { + + /* 20 bits for the fractional part */ + /* shift left by 11 to keep fract in 1.31 format */ + fract = (x & 0x000FFFFF) << 11; + + /* Read two nearest output values from the index in 1.31(q31) format */ + y0 = pYData[index]; + y1 = pYData[index + 1u]; + + /* Calculation of y0 * (1-fract) and y is in 2.30 format */ + y = ((q31_t) ((q63_t) y0 * (0x7FFFFFFF - fract) >> 32)); + + /* Calculation of y0 * (1-fract) + y1 *fract and y is in 2.30 format */ + y += ((q31_t) (((q63_t) y1 * fract) >> 32)); + + /* Convert y to 1.31 format */ + return (y << 1u); + + } + + } + + /** + * + * @brief Process function for the Q15 Linear Interpolation Function. + * @param[in] *pYData pointer to Q15 Linear Interpolation table + * @param[in] x input sample to process + * @param[in] nValues number of table values + * @return y processed output sample. + * + * \par + * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. + * This function can support maximum of table size 2^12. + * + */ + + + static __INLINE q15_t arm_linear_interp_q15( + q15_t * pYData, + q31_t x, + uint32_t nValues) + { + q63_t y; /* output */ + q15_t y0, y1; /* Nearest output values */ + q31_t fract; /* fractional part */ + int32_t index; /* Index to read nearest output values */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + index = ((x & 0xFFF00000) >> 20u); + + if(index >= (int32_t)(nValues - 1)) + { + return (pYData[nValues - 1]); + } + else if(index < 0) + { + return (pYData[0]); + } + else + { + /* 20 bits for the fractional part */ + /* fract is in 12.20 format */ + fract = (x & 0x000FFFFF); + + /* Read two nearest output values from the index */ + y0 = pYData[index]; + y1 = pYData[index + 1u]; + + /* Calculation of y0 * (1-fract) and y is in 13.35 format */ + y = ((q63_t) y0 * (0xFFFFF - fract)); + + /* Calculation of (y0 * (1-fract) + y1 * fract) and y is in 13.35 format */ + y += ((q63_t) y1 * (fract)); + + /* convert y to 1.15 format */ + return (y >> 20); + } + + + } + + /** + * + * @brief Process function for the Q7 Linear Interpolation Function. + * @param[in] *pYData pointer to Q7 Linear Interpolation table + * @param[in] x input sample to process + * @param[in] nValues number of table values + * @return y processed output sample. + * + * \par + * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. + * This function can support maximum of table size 2^12. + */ + + + static __INLINE q7_t arm_linear_interp_q7( + q7_t * pYData, + q31_t x, + uint32_t nValues) + { + q31_t y; /* output */ + q7_t y0, y1; /* Nearest output values */ + q31_t fract; /* fractional part */ + uint32_t index; /* Index to read nearest output values */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + if (x < 0) + { + return (pYData[0]); + } + index = (x >> 20) & 0xfff; + + + if(index >= (nValues - 1)) + { + return (pYData[nValues - 1]); + } + else + { + + /* 20 bits for the fractional part */ + /* fract is in 12.20 format */ + fract = (x & 0x000FFFFF); + + /* Read two nearest output values from the index and are in 1.7(q7) format */ + y0 = pYData[index]; + y1 = pYData[index + 1u]; + + /* Calculation of y0 * (1-fract ) and y is in 13.27(q27) format */ + y = ((y0 * (0xFFFFF - fract))); + + /* Calculation of y1 * fract + y0 * (1-fract) and y is in 13.27(q27) format */ + y += (y1 * fract); + + /* convert y to 1.7(q7) format */ + return (y >> 20u); + + } + + } + /** + * @} end of LinearInterpolate group + */ + + /** + * @brief Fast approximation to the trigonometric sine function for floating-point data. + * @param[in] x input value in radians. + * @return sin(x). + */ + + float32_t arm_sin_f32( + float32_t x); + + /** + * @brief Fast approximation to the trigonometric sine function for Q31 data. + * @param[in] x Scaled input value in radians. + * @return sin(x). + */ + + q31_t arm_sin_q31( + q31_t x); + + /** + * @brief Fast approximation to the trigonometric sine function for Q15 data. + * @param[in] x Scaled input value in radians. + * @return sin(x). + */ + + q15_t arm_sin_q15( + q15_t x); + + /** + * @brief Fast approximation to the trigonometric cosine function for floating-point data. + * @param[in] x input value in radians. + * @return cos(x). + */ + + float32_t arm_cos_f32( + float32_t x); + + /** + * @brief Fast approximation to the trigonometric cosine function for Q31 data. + * @param[in] x Scaled input value in radians. + * @return cos(x). + */ + + q31_t arm_cos_q31( + q31_t x); + + /** + * @brief Fast approximation to the trigonometric cosine function for Q15 data. + * @param[in] x Scaled input value in radians. + * @return cos(x). + */ + + q15_t arm_cos_q15( + q15_t x); + + + /** + * @ingroup groupFastMath + */ + + + /** + * @defgroup SQRT Square Root + * + * Computes the square root of a number. + * There are separate functions for Q15, Q31, and floating-point data types. + * The square root function is computed using the Newton-Raphson algorithm. + * This is an iterative algorithm of the form: + * 
+   *      x1 = x0 - f(x0)/f'(x0)
+   *
+ * where x1 is the current estimate, + * x0 is the previous estimate, and + * f'(x0) is the derivative of f() evaluated at x0. + * For the square root function, the algorithm reduces to: + * 
+   *     x0 = in/2                         [initial guess]
+   *     x1 = 1/2 * ( x0 + in / x0)        [each iteration]
+   *
+ */ + + + /** + * @addtogroup SQRT + * @{ + */ + + /** + * @brief Floating-point square root function. + * @param[in] in input value. + * @param[out] *pOut square root of input value. + * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if + * in is negative value and returns zero output for negative values. + */ + + static __INLINE arm_status arm_sqrt_f32( + float32_t in, + float32_t * pOut) + { + if(in >= 0.0f) + { + +// #if __FPU_USED +#if (__FPU_USED == 1) && defined ( __CC_ARM ) + *pOut = __sqrtf(in); +#else + *pOut = sqrtf(in); +#endif + + return (ARM_MATH_SUCCESS); + } + else + { + *pOut = 0.0f; + return (ARM_MATH_ARGUMENT_ERROR); + } + + } + + + /** + * @brief Q31 square root function. + * @param[in] in input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF. + * @param[out] *pOut square root of input value. + * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if + * in is negative value and returns zero output for negative values. + */ + arm_status arm_sqrt_q31( + q31_t in, + q31_t * pOut); + + /** + * @brief Q15 square root function. + * @param[in] in input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF. + * @param[out] *pOut square root of input value. + * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if + * in is negative value and returns zero output for negative values. + */ + arm_status arm_sqrt_q15( + q15_t in, + q15_t * pOut); + + /** + * @} end of SQRT group + */ + + + + + + + /** + * @brief floating-point Circular write function. + */ + + static __INLINE void arm_circularWrite_f32( + int32_t * circBuffer, + int32_t L, + uint16_t * writeOffset, + int32_t bufferInc, + const int32_t * src, + int32_t srcInc, + uint32_t blockSize) + { + uint32_t i = 0u; + int32_t wOffset; + + /* Copy the value of Index pointer that points + * to the current location where the input samples to be copied */ + wOffset = *writeOffset; + + /* Loop over the blockSize */ + i = blockSize; + + while(i > 0u) + { + /* copy the input sample to the circular buffer */ + circBuffer[wOffset] = *src; + + /* Update the input pointer */ + src += srcInc; + + /* Circularly update wOffset. Watch out for positive and negative value */ + wOffset += bufferInc; + if(wOffset >= L) + wOffset -= L; + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *writeOffset = wOffset; + } + + + + /** + * @brief floating-point Circular Read function. + */ + static __INLINE void arm_circularRead_f32( + int32_t * circBuffer, + int32_t L, + int32_t * readOffset, + int32_t bufferInc, + int32_t * dst, + int32_t * dst_base, + int32_t dst_length, + int32_t dstInc, + uint32_t blockSize) + { + uint32_t i = 0u; + int32_t rOffset, dst_end; + + /* Copy the value of Index pointer that points + * to the current location from where the input samples to be read */ + rOffset = *readOffset; + dst_end = (int32_t) (dst_base + dst_length); + + /* Loop over the blockSize */ + i = blockSize; + + while(i > 0u) + { + /* copy the sample from the circular buffer to the destination buffer */ + *dst = circBuffer[rOffset]; + + /* Update the input pointer */ + dst += dstInc; + + if(dst == (int32_t *) dst_end) + { + dst = dst_base; + } + + /* Circularly update rOffset. Watch out for positive and negative value */ + rOffset += bufferInc; + + if(rOffset >= L) + { + rOffset -= L; + } + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *readOffset = rOffset; + } + + /** + * @brief Q15 Circular write function. + */ + + static __INLINE void arm_circularWrite_q15( + q15_t * circBuffer, + int32_t L, + uint16_t * writeOffset, + int32_t bufferInc, + const q15_t * src, + int32_t srcInc, + uint32_t blockSize) + { + uint32_t i = 0u; + int32_t wOffset; + + /* Copy the value of Index pointer that points + * to the current location where the input samples to be copied */ + wOffset = *writeOffset; + + /* Loop over the blockSize */ + i = blockSize; + + while(i > 0u) + { + /* copy the input sample to the circular buffer */ + circBuffer[wOffset] = *src; + + /* Update the input pointer */ + src += srcInc; + + /* Circularly update wOffset. Watch out for positive and negative value */ + wOffset += bufferInc; + if(wOffset >= L) + wOffset -= L; + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *writeOffset = wOffset; + } + + + + /** + * @brief Q15 Circular Read function. + */ + static __INLINE void arm_circularRead_q15( + q15_t * circBuffer, + int32_t L, + int32_t * readOffset, + int32_t bufferInc, + q15_t * dst, + q15_t * dst_base, + int32_t dst_length, + int32_t dstInc, + uint32_t blockSize) + { + uint32_t i = 0; + int32_t rOffset, dst_end; + + /* Copy the value of Index pointer that points + * to the current location from where the input samples to be read */ + rOffset = *readOffset; + + dst_end = (int32_t) (dst_base + dst_length); + + /* Loop over the blockSize */ + i = blockSize; + + while(i > 0u) + { + /* copy the sample from the circular buffer to the destination buffer */ + *dst = circBuffer[rOffset]; + + /* Update the input pointer */ + dst += dstInc; + + if(dst == (q15_t *) dst_end) + { + dst = dst_base; + } + + /* Circularly update wOffset. Watch out for positive and negative value */ + rOffset += bufferInc; + + if(rOffset >= L) + { + rOffset -= L; + } + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *readOffset = rOffset; + } + + + /** + * @brief Q7 Circular write function. + */ + + static __INLINE void arm_circularWrite_q7( + q7_t * circBuffer, + int32_t L, + uint16_t * writeOffset, + int32_t bufferInc, + const q7_t * src, + int32_t srcInc, + uint32_t blockSize) + { + uint32_t i = 0u; + int32_t wOffset; + + /* Copy the value of Index pointer that points + * to the current location where the input samples to be copied */ + wOffset = *writeOffset; + + /* Loop over the blockSize */ + i = blockSize; + + while(i > 0u) + { + /* copy the input sample to the circular buffer */ + circBuffer[wOffset] = *src; + + /* Update the input pointer */ + src += srcInc; + + /* Circularly update wOffset. Watch out for positive and negative value */ + wOffset += bufferInc; + if(wOffset >= L) + wOffset -= L; + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *writeOffset = wOffset; + } + + + + /** + * @brief Q7 Circular Read function. + */ + static __INLINE void arm_circularRead_q7( + q7_t * circBuffer, + int32_t L, + int32_t * readOffset, + int32_t bufferInc, + q7_t * dst, + q7_t * dst_base, + int32_t dst_length, + int32_t dstInc, + uint32_t blockSize) + { + uint32_t i = 0; + int32_t rOffset, dst_end; + + /* Copy the value of Index pointer that points + * to the current location from where the input samples to be read */ + rOffset = *readOffset; + + dst_end = (int32_t) (dst_base + dst_length); + + /* Loop over the blockSize */ + i = blockSize; + + while(i > 0u) + { + /* copy the sample from the circular buffer to the destination buffer */ + *dst = circBuffer[rOffset]; + + /* Update the input pointer */ + dst += dstInc; + + if(dst == (q7_t *) dst_end) + { + dst = dst_base; + } + + /* Circularly update rOffset. Watch out for positive and negative value */ + rOffset += bufferInc; + + if(rOffset >= L) + { + rOffset -= L; + } + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *readOffset = rOffset; + } + + + /** + * @brief Sum of the squares of the elements of a Q31 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_power_q31( + q31_t * pSrc, + uint32_t blockSize, + q63_t * pResult); + + /** + * @brief Sum of the squares of the elements of a floating-point vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_power_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + /** + * @brief Sum of the squares of the elements of a Q15 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_power_q15( + q15_t * pSrc, + uint32_t blockSize, + q63_t * pResult); + + /** + * @brief Sum of the squares of the elements of a Q7 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_power_q7( + q7_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + /** + * @brief Mean value of a Q7 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_mean_q7( + q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult); + + /** + * @brief Mean value of a Q15 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + void arm_mean_q15( + q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + /** + * @brief Mean value of a Q31 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + void arm_mean_q31( + q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + /** + * @brief Mean value of a floating-point vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + void arm_mean_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + /** + * @brief Variance of the elements of a floating-point vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_var_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + /** + * @brief Variance of the elements of a Q31 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_var_q31( + q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + /** + * @brief Variance of the elements of a Q15 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_var_q15( + q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + /** + * @brief Root Mean Square of the elements of a floating-point vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_rms_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + /** + * @brief Root Mean Square of the elements of a Q31 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_rms_q31( + q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + /** + * @brief Root Mean Square of the elements of a Q15 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_rms_q15( + q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + /** + * @brief Standard deviation of the elements of a floating-point vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_std_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + /** + * @brief Standard deviation of the elements of a Q31 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_std_q31( + q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + /** + * @brief Standard deviation of the elements of a Q15 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output value. + * @return none. + */ + + void arm_std_q15( + q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + /** + * @brief Floating-point complex magnitude + * @param[in] *pSrc points to the complex input vector + * @param[out] *pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + * @return none. + */ + + void arm_cmplx_mag_f32( + float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples); + + /** + * @brief Q31 complex magnitude + * @param[in] *pSrc points to the complex input vector + * @param[out] *pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + * @return none. + */ + + void arm_cmplx_mag_q31( + q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples); + + /** + * @brief Q15 complex magnitude + * @param[in] *pSrc points to the complex input vector + * @param[out] *pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + * @return none. + */ + + void arm_cmplx_mag_q15( + q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples); + + /** + * @brief Q15 complex dot product + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[in] numSamples number of complex samples in each vector + * @param[out] *realResult real part of the result returned here + * @param[out] *imagResult imaginary part of the result returned here + * @return none. + */ + + void arm_cmplx_dot_prod_q15( + q15_t * pSrcA, + q15_t * pSrcB, + uint32_t numSamples, + q31_t * realResult, + q31_t * imagResult); + + /** + * @brief Q31 complex dot product + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[in] numSamples number of complex samples in each vector + * @param[out] *realResult real part of the result returned here + * @param[out] *imagResult imaginary part of the result returned here + * @return none. + */ + + void arm_cmplx_dot_prod_q31( + q31_t * pSrcA, + q31_t * pSrcB, + uint32_t numSamples, + q63_t * realResult, + q63_t * imagResult); + + /** + * @brief Floating-point complex dot product + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[in] numSamples number of complex samples in each vector + * @param[out] *realResult real part of the result returned here + * @param[out] *imagResult imaginary part of the result returned here + * @return none. + */ + + void arm_cmplx_dot_prod_f32( + float32_t * pSrcA, + float32_t * pSrcB, + uint32_t numSamples, + float32_t * realResult, + float32_t * imagResult); + + /** + * @brief Q15 complex-by-real multiplication + * @param[in] *pSrcCmplx points to the complex input vector + * @param[in] *pSrcReal points to the real input vector + * @param[out] *pCmplxDst points to the complex output vector + * @param[in] numSamples number of samples in each vector + * @return none. + */ + + void arm_cmplx_mult_real_q15( + q15_t * pSrcCmplx, + q15_t * pSrcReal, + q15_t * pCmplxDst, + uint32_t numSamples); + + /** + * @brief Q31 complex-by-real multiplication + * @param[in] *pSrcCmplx points to the complex input vector + * @param[in] *pSrcReal points to the real input vector + * @param[out] *pCmplxDst points to the complex output vector + * @param[in] numSamples number of samples in each vector + * @return none. + */ + + void arm_cmplx_mult_real_q31( + q31_t * pSrcCmplx, + q31_t * pSrcReal, + q31_t * pCmplxDst, + uint32_t numSamples); + + /** + * @brief Floating-point complex-by-real multiplication + * @param[in] *pSrcCmplx points to the complex input vector + * @param[in] *pSrcReal points to the real input vector + * @param[out] *pCmplxDst points to the complex output vector + * @param[in] numSamples number of samples in each vector + * @return none. + */ + + void arm_cmplx_mult_real_f32( + float32_t * pSrcCmplx, + float32_t * pSrcReal, + float32_t * pCmplxDst, + uint32_t numSamples); + + /** + * @brief Minimum value of a Q7 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *result is output pointer + * @param[in] index is the array index of the minimum value in the input buffer. + * @return none. + */ + + void arm_min_q7( + q7_t * pSrc, + uint32_t blockSize, + q7_t * result, + uint32_t * index); + + /** + * @brief Minimum value of a Q15 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output pointer + * @param[in] *pIndex is the array index of the minimum value in the input buffer. + * @return none. + */ + + void arm_min_q15( + q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex); + + /** + * @brief Minimum value of a Q31 vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output pointer + * @param[out] *pIndex is the array index of the minimum value in the input buffer. + * @return none. + */ + void arm_min_q31( + q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex); + + /** + * @brief Minimum value of a floating-point vector. + * @param[in] *pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] *pResult is output pointer + * @param[out] *pIndex is the array index of the minimum value in the input buffer. + * @return none. + */ + + void arm_min_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex); + +/** + * @brief Maximum value of a Q7 vector. + * @param[in] *pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] *pResult maximum value returned here + * @param[out] *pIndex index of maximum value returned here + * @return none. + */ + + void arm_max_q7( + q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult, + uint32_t * pIndex); + +/** + * @brief Maximum value of a Q15 vector. + * @param[in] *pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] *pResult maximum value returned here + * @param[out] *pIndex index of maximum value returned here + * @return none. + */ + + void arm_max_q15( + q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex); + +/** + * @brief Maximum value of a Q31 vector. + * @param[in] *pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] *pResult maximum value returned here + * @param[out] *pIndex index of maximum value returned here + * @return none. + */ + + void arm_max_q31( + q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex); + +/** + * @brief Maximum value of a floating-point vector. + * @param[in] *pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] *pResult maximum value returned here + * @param[out] *pIndex index of maximum value returned here + * @return none. + */ + + void arm_max_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex); + + /** + * @brief Q15 complex-by-complex multiplication + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + * @return none. + */ + + void arm_cmplx_mult_cmplx_q15( + q15_t * pSrcA, + q15_t * pSrcB, + q15_t * pDst, + uint32_t numSamples); + + /** + * @brief Q31 complex-by-complex multiplication + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + * @return none. + */ + + void arm_cmplx_mult_cmplx_q31( + q31_t * pSrcA, + q31_t * pSrcB, + q31_t * pDst, + uint32_t numSamples); + + /** + * @brief Floating-point complex-by-complex multiplication + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + * @return none. + */ + + void arm_cmplx_mult_cmplx_f32( + float32_t * pSrcA, + float32_t * pSrcB, + float32_t * pDst, + uint32_t numSamples); + + /** + * @brief Converts the elements of the floating-point vector to Q31 vector. + * @param[in] *pSrc points to the floating-point input vector + * @param[out] *pDst points to the Q31 output vector + * @param[in] blockSize length of the input vector + * @return none. + */ + void arm_float_to_q31( + float32_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Converts the elements of the floating-point vector to Q15 vector. + * @param[in] *pSrc points to the floating-point input vector + * @param[out] *pDst points to the Q15 output vector + * @param[in] blockSize length of the input vector + * @return none + */ + void arm_float_to_q15( + float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Converts the elements of the floating-point vector to Q7 vector. + * @param[in] *pSrc points to the floating-point input vector + * @param[out] *pDst points to the Q7 output vector + * @param[in] blockSize length of the input vector + * @return none + */ + void arm_float_to_q7( + float32_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q31 vector to Q15 vector. + * @param[in] *pSrc is input pointer + * @param[out] *pDst is output pointer + * @param[in] blockSize is the number of samples to process + * @return none. + */ + void arm_q31_to_q15( + q31_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Converts the elements of the Q31 vector to Q7 vector. + * @param[in] *pSrc is input pointer + * @param[out] *pDst is output pointer + * @param[in] blockSize is the number of samples to process + * @return none. + */ + void arm_q31_to_q7( + q31_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Converts the elements of the Q15 vector to floating-point vector. + * @param[in] *pSrc is input pointer + * @param[out] *pDst is output pointer + * @param[in] blockSize is the number of samples to process + * @return none. + */ + void arm_q15_to_float( + q15_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q15 vector to Q31 vector. + * @param[in] *pSrc is input pointer + * @param[out] *pDst is output pointer + * @param[in] blockSize is the number of samples to process + * @return none. + */ + void arm_q15_to_q31( + q15_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q15 vector to Q7 vector. + * @param[in] *pSrc is input pointer + * @param[out] *pDst is output pointer + * @param[in] blockSize is the number of samples to process + * @return none. + */ + void arm_q15_to_q7( + q15_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @ingroup groupInterpolation + */ + + /** + * @defgroup BilinearInterpolate Bilinear Interpolation + * + * Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid. + * The underlying function f(x, y) is sampled on a regular grid and the interpolation process + * determines values between the grid points. + * Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension. + * Bilinear interpolation is often used in image processing to rescale images. + * The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types. + * + * Algorithm + * \par + * The instance structure used by the bilinear interpolation functions describes a two dimensional data table. + * For floating-point, the instance structure is defined as: + * 
+   *   typedef struct
+   *   {
+   *     uint16_t numRows;
+   *     uint16_t numCols;
+   *     float32_t *pData;
+   * } arm_bilinear_interp_instance_f32;
+   *
+ * + * \par + * where numRows specifies the number of rows in the table; + * numCols specifies the number of columns in the table; + * and pData points to an array of size numRows*numCols values. + * The data table pTable is organized in row order and the supplied data values fall on integer indexes. + * That is, table element (x,y) is located at pTable[x + y*numCols] where x and y are integers. + * + * \par + * Let (x, y) specify the desired interpolation point. Then define: + * 
+   *     XF = floor(x)
+   *     YF = floor(y)
+   *
+ * \par + * The interpolated output point is computed as: + * 
+   *  f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF))
+   *           + f(XF+1, YF) * (x-XF)*(1-(y-YF))
+   *           + f(XF, YF+1) * (1-(x-XF))*(y-YF)
+   *           + f(XF+1, YF+1) * (x-XF)*(y-YF)
+   *
+ * Note that the coordinates (x, y) contain integer and fractional components. + * The integer components specify which portion of the table to use while the + * fractional components control the interpolation processor. + * + * \par + * if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output. + */ + + /** + * @addtogroup BilinearInterpolate + * @{ + */ + + /** + * + * @brief Floating-point bilinear interpolation. + * @param[in,out] *S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate. + * @param[in] Y interpolation coordinate. + * @return out interpolated value. + */ + + + static __INLINE float32_t arm_bilinear_interp_f32( + const arm_bilinear_interp_instance_f32 * S, + float32_t X, + float32_t Y) + { + float32_t out; + float32_t f00, f01, f10, f11; + float32_t *pData = S->pData; + int32_t xIndex, yIndex, index; + float32_t xdiff, ydiff; + float32_t b1, b2, b3, b4; + + xIndex = (int32_t) X; + yIndex = (int32_t) Y; + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if(xIndex < 0 || xIndex > (S->numRows - 1) || yIndex < 0 + || yIndex > (S->numCols - 1)) + { + return (0); + } + + /* Calculation of index for two nearest points in X-direction */ + index = (xIndex - 1) + (yIndex - 1) * S->numCols; + + + /* Read two nearest points in X-direction */ + f00 = pData[index]; + f01 = pData[index + 1]; + + /* Calculation of index for two nearest points in Y-direction */ + index = (xIndex - 1) + (yIndex) * S->numCols; + + + /* Read two nearest points in Y-direction */ + f10 = pData[index]; + f11 = pData[index + 1]; + + /* Calculation of intermediate values */ + b1 = f00; + b2 = f01 - f00; + b3 = f10 - f00; + b4 = f00 - f01 - f10 + f11; + + /* Calculation of fractional part in X */ + xdiff = X - xIndex; + + /* Calculation of fractional part in Y */ + ydiff = Y - yIndex; + + /* Calculation of bi-linear interpolated output */ + out = b1 + b2 * xdiff + b3 * ydiff + b4 * xdiff * ydiff; + + /* return to application */ + return (out); + + } + + /** + * + * @brief Q31 bilinear interpolation. + * @param[in,out] *S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + + static __INLINE q31_t arm_bilinear_interp_q31( + arm_bilinear_interp_instance_q31 * S, + q31_t X, + q31_t Y) + { + q31_t out; /* Temporary output */ + q31_t acc = 0; /* output */ + q31_t xfract, yfract; /* X, Y fractional parts */ + q31_t x1, x2, y1, y2; /* Nearest output values */ + int32_t rI, cI; /* Row and column indices */ + q31_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & 0xFFF00000) >> 20u); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & 0xFFF00000) >> 20u); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if(rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* shift left xfract by 11 to keep 1.31 format */ + xfract = (X & 0x000FFFFF) << 11u; + + /* Read two nearest output values from the index */ + x1 = pYData[(rI) + nCols * (cI)]; + x2 = pYData[(rI) + nCols * (cI) + 1u]; + + /* 20 bits for the fractional part */ + /* shift left yfract by 11 to keep 1.31 format */ + yfract = (Y & 0x000FFFFF) << 11u; + + /* Read two nearest output values from the index */ + y1 = pYData[(rI) + nCols * (cI + 1)]; + y2 = pYData[(rI) + nCols * (cI + 1) + 1u]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 3.29(q29) format */ + out = ((q31_t) (((q63_t) x1 * (0x7FFFFFFF - xfract)) >> 32)); + acc = ((q31_t) (((q63_t) out * (0x7FFFFFFF - yfract)) >> 32)); + + /* x2 * (xfract) * (1-yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) x2 * (0x7FFFFFFF - yfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (xfract) >> 32)); + + /* y1 * (1 - xfract) * (yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) y1 * (0x7FFFFFFF - xfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (yfract) >> 32)); + + /* y2 * (xfract) * (yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) y2 * (xfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (yfract) >> 32)); + + /* Convert acc to 1.31(q31) format */ + return (acc << 2u); + + } + + /** + * @brief Q15 bilinear interpolation. + * @param[in,out] *S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + + static __INLINE q15_t arm_bilinear_interp_q15( + arm_bilinear_interp_instance_q15 * S, + q31_t X, + q31_t Y) + { + q63_t acc = 0; /* output */ + q31_t out; /* Temporary output */ + q15_t x1, x2, y1, y2; /* Nearest output values */ + q31_t xfract, yfract; /* X, Y fractional parts */ + int32_t rI, cI; /* Row and column indices */ + q15_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & 0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & 0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if(rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* xfract should be in 12.20 format */ + xfract = (X & 0x000FFFFF); + + /* Read two nearest output values from the index */ + x1 = pYData[(rI) + nCols * (cI)]; + x2 = pYData[(rI) + nCols * (cI) + 1u]; + + + /* 20 bits for the fractional part */ + /* yfract should be in 12.20 format */ + yfract = (Y & 0x000FFFFF); + + /* Read two nearest output values from the index */ + y1 = pYData[(rI) + nCols * (cI + 1)]; + y2 = pYData[(rI) + nCols * (cI + 1) + 1u]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 13.51 format */ + + /* x1 is in 1.15(q15), xfract in 12.20 format and out is in 13.35 format */ + /* convert 13.35 to 13.31 by right shifting and out is in 1.31 */ + out = (q31_t) (((q63_t) x1 * (0xFFFFF - xfract)) >> 4u); + acc = ((q63_t) out * (0xFFFFF - yfract)); + + /* x2 * (xfract) * (1-yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) x2 * (0xFFFFF - yfract)) >> 4u); + acc += ((q63_t) out * (xfract)); + + /* y1 * (1 - xfract) * (yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) y1 * (0xFFFFF - xfract)) >> 4u); + acc += ((q63_t) out * (yfract)); + + /* y2 * (xfract) * (yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) y2 * (xfract)) >> 4u); + acc += ((q63_t) out * (yfract)); + + /* acc is in 13.51 format and down shift acc by 36 times */ + /* Convert out to 1.15 format */ + return (acc >> 36); + + } + + /** + * @brief Q7 bilinear interpolation. + * @param[in,out] *S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + + static __INLINE q7_t arm_bilinear_interp_q7( + arm_bilinear_interp_instance_q7 * S, + q31_t X, + q31_t Y) + { + q63_t acc = 0; /* output */ + q31_t out; /* Temporary output */ + q31_t xfract, yfract; /* X, Y fractional parts */ + q7_t x1, x2, y1, y2; /* Nearest output values */ + int32_t rI, cI; /* Row and column indices */ + q7_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & 0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & 0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if(rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* xfract should be in 12.20 format */ + xfract = (X & 0x000FFFFF); + + /* Read two nearest output values from the index */ + x1 = pYData[(rI) + nCols * (cI)]; + x2 = pYData[(rI) + nCols * (cI) + 1u]; + + + /* 20 bits for the fractional part */ + /* yfract should be in 12.20 format */ + yfract = (Y & 0x000FFFFF); + + /* Read two nearest output values from the index */ + y1 = pYData[(rI) + nCols * (cI + 1)]; + y2 = pYData[(rI) + nCols * (cI + 1) + 1u]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 16.47 format */ + out = ((x1 * (0xFFFFF - xfract))); + acc = (((q63_t) out * (0xFFFFF - yfract))); + + /* x2 * (xfract) * (1-yfract) in 2.22 and adding to acc */ + out = ((x2 * (0xFFFFF - yfract))); + acc += (((q63_t) out * (xfract))); + + /* y1 * (1 - xfract) * (yfract) in 2.22 and adding to acc */ + out = ((y1 * (0xFFFFF - xfract))); + acc += (((q63_t) out * (yfract))); + + /* y2 * (xfract) * (yfract) in 2.22 and adding to acc */ + out = ((y2 * (yfract))); + acc += (((q63_t) out * (xfract))); + + /* acc in 16.47 format and down shift by 40 to convert to 1.7 format */ + return (acc >> 40); + + } + + /** + * @} end of BilinearInterpolate group + */ + + +//SMMLAR +#define multAcc_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32) + +//SMMLSR +#define multSub_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32) + +//SMMULR +#define mult_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32) + +//SMMLA +#define multAcc_32x32_keep32(a, x, y) \ + a += (q31_t) (((q63_t) x * y) >> 32) + +//SMMLS +#define multSub_32x32_keep32(a, x, y) \ + a -= (q31_t) (((q63_t) x * y) >> 32) + +//SMMUL +#define mult_32x32_keep32(a, x, y) \ + a = (q31_t) (((q63_t) x * y ) >> 32) + + +#if defined ( __CC_ARM ) //Keil + +//Enter low optimization region - place directly above function definition + #ifdef ARM_MATH_CM4 + #define LOW_OPTIMIZATION_ENTER \ + _Pragma ("push") \ + _Pragma ("O1") + #else + #define LOW_OPTIMIZATION_ENTER + #endif + +//Exit low optimization region - place directly after end of function definition + #ifdef ARM_MATH_CM4 + #define LOW_OPTIMIZATION_EXIT \ + _Pragma ("pop") + #else + #define LOW_OPTIMIZATION_EXIT + #endif + +//Enter low optimization region - place directly above function definition + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + +//Exit low optimization region - place directly after end of function definition + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined(__ICCARM__) //IAR + +//Enter low optimization region - place directly above function definition + #ifdef ARM_MATH_CM4 + #define LOW_OPTIMIZATION_ENTER \ + _Pragma ("optimize=low") + #else + #define LOW_OPTIMIZATION_ENTER + #endif + +//Exit low optimization region - place directly after end of function definition + #define LOW_OPTIMIZATION_EXIT + +//Enter low optimization region - place directly above function definition + #ifdef ARM_MATH_CM4 + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER \ + _Pragma ("optimize=low") + #else + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #endif + +//Exit low optimization region - place directly after end of function definition + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined(__GNUC__) + + #define LOW_OPTIMIZATION_ENTER __attribute__(( optimize("-O1") )) + + #define LOW_OPTIMIZATION_EXIT + + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined(__CSMC__) // Cosmic + +#define LOW_OPTIMIZATION_ENTER +#define LOW_OPTIMIZATION_EXIT +#define IAR_ONLY_LOW_OPTIMIZATION_ENTER +#define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined(__TASKING__) // TASKING + +#define LOW_OPTIMIZATION_ENTER +#define LOW_OPTIMIZATION_EXIT +#define IAR_ONLY_LOW_OPTIMIZATION_ENTER +#define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#endif + + +#ifdef __cplusplus +} +#endif + + +#endif /* _ARM_MATH_H */ + +/** + * + * End of file. + */ diff --git a/src/fsm/common.h b/src/fsm/common.h index a2d20ab..01c4535 100644 --- a/src/fsm/common.h +++ b/src/fsm/common.h @@ -31,6 +31,9 @@ #ifndef _COMMON_H_ #define _COMMON_H_ +#define FLOAT_PI 3.1415926535897932384f + + void common_init(void); // Return the current timestamp in milliseconds. Timestamps are monotonic, and not diff --git a/src/fsm/cw.c b/src/fsm/cw.c index 051831a..96c510a 100644 --- a/src/fsm/cw.c +++ b/src/fsm/cw.c @@ -34,6 +34,7 @@ */ #include "cw.h" +#include "common.h" #include "arm_math.h" #include "audio.h" #include "debug.h" diff --git a/src/fsm/cw.h b/src/fsm/cw.h index 4a40273..3c09441 100644 --- a/src/fsm/cw.h +++ b/src/fsm/cw.h @@ -25,8 +25,6 @@ #include #include -#define FLOAT_PI 3.1415926535897932384f - // Setup the CW generator to create audio samples at the given // samplerate. void cw_init(unsigned int samplerate); diff --git a/src/fsm/psk31.c b/src/fsm/psk31.c new file mode 100644 index 0000000..6eafa53 --- /dev/null +++ b/src/fsm/psk31.c @@ -0,0 +1,278 @@ +/* + * The MIT License (MIT) + * + * Copyright (c) 2015 Matthias P. Braendli + * + * Permission is hereby granted, free of charge, to any person obtaining a copy + * of this software and associated documentation files (the "Software"), to deal + * in the Software without restriction, including without limitation the rights + * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell + * copies of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in all + * copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + * SOFTWARE. +*/ + +#include "psk31.h" +#include "common.h" +#include "audio.h" +#include +#include "arm_math.h" + +/* Kernel includes. */ +#include "FreeRTOS.h" +#include "task.h" +#include "queue.h" +#include "semphr.h" + +/* PSK31 generator + * + * Concept: + * + * +----------------------+ +--------------+ + * | psk31_push_message() | -> psk31_msg_queue -> | psk31_task() | + * +----------------------+ +--------------+ + * | + * _________________________________________________/ + * / + * | + * \|/ + * V + * + * psk31_audio_queue + * + * The psk31_fill_buffer() function can be called to fetch audio from the audio_queue + */ + +#define PSK31_MAX_MESSAGE_LEN 10240 +#define PHASE_BUFFER_SIZE (20 + PSK31_MAX_MESSAGE_LEN + 20) + +struct psk31_out_message_s { + // Contains a sequence of ones and zeros corresponding to + // the BPSK31 phase + char phase_buffer[PHASE_BUFFER_SIZE]; + size_t phase_buffer_end; + + int freq; // Audio frequency for signal center +}; + +// The queue contains above structs +QueueHandle_t psk31_msg_queue; + +// Queue that contains audio data +QueueHandle_t psk31_audio_queue; +static int psk31_samplerate; + +static int psk31_transmit_ongoing; + +static void psk31_task(void *pvParameters); +static void psk31_str_to_bits(const char* instr, char* outbits); + + +void psk31_init(unsigned int samplerate) +{ + psk31_samplerate = samplerate; + psk31_transmit_ongoing = 0; + + psk31_msg_queue = xQueueCreate(15, sizeof(struct psk31_out_message_s)); + if (psk31_msg_queue == 0) { + while(1); /* fatal error */ + } + + psk31_audio_queue = xQueueCreate(2, AUDIO_BUF_LEN * sizeof(int16_t)); + if (psk31_audio_queue == 0) { + while(1); /* fatal error */ + } + + xTaskCreate( + psk31_task, + "TaskPSK31", + 8*configMINIMAL_STACK_SIZE, + (void*) NULL, + tskIDLE_PRIORITY + 2UL, + NULL); +} + +int psk31_push_message(const char* text, int frequency) +{ + if (strlen(text) > PSK31_MAX_MESSAGE_LEN) { + return 0; + } + + struct psk31_out_message_s msg; + msg.phase_buffer_end = 0; + msg.freq = frequency; + + psk31_str_to_bits(text, msg.phase_buffer); + + xQueueSendToBack(psk31_msg_queue, &msg, portMAX_DELAY); + + return 1; +} + +// Write the waveform into the buffer (stereo) +size_t psk31_fill_buffer(int16_t *buf, size_t bufsize); + +// Return 1 if the psk31 generator has completed transmission +int psk31_busy(void); + +static int16_t psk31_audio_buf[AUDIO_BUF_LEN]; +static void psk31_task(void *pvParameters) +{ + struct psk31_out_message_s psk31_fill_msg_current; + + float nco_phase = 0.0f; + float ampl = 0.0f; + + int buf_pos = 0; + + while (1) { + int status = xQueueReceive(psk31_msg_queue, &psk31_fill_msg_current, portMAX_DELAY); + if (status == pdTRUE) { + + psk31_transmit_ongoing = 1; + + /* BPSK31 is at 31.25 symbols per second. */ + const int samples_per_symbol = psk31_samplerate * 100 / 3125; + + // Angular frequency of NCO + const float omega = 2.0f * FLOAT_PI * psk31_fill_msg_current.freq / + (float)psk31_samplerate; + + int current_psk_phase = 0; + + for (int i = 0; i < psk31_fill_msg_current.phase_buffer_end; i++) { + for (int t = 0; t < samples_per_symbol; t++) { + int16_t s = 0; + + if (psk31_fill_msg_current.phase_buffer[i]) { + ampl = 32000.0f; + } + else { + ampl = + (float)current_psk_phase * + 32000.0f * + arm_cos_f32( + FLOAT_PI*(float)t/(float)samples_per_symbol); + } + + nco_phase += omega; + if (nco_phase > FLOAT_PI) { + nco_phase -= 2.0f * FLOAT_PI; + } + + s = ampl * arm_sin_f32(nco_phase); + + if (buf_pos == AUDIO_BUF_LEN) { + xQueueSendToBack(psk31_audio_queue, &psk31_audio_buf, portMAX_DELAY); + buf_pos = 0; + } + psk31_audio_buf[buf_pos++] = s; + + // Stereo + if (buf_pos == AUDIO_BUF_LEN) { + xQueueSendToBack(psk31_audio_queue, &psk31_audio_buf, portMAX_DELAY); + buf_pos = 0; + } + psk31_audio_buf[buf_pos++] = s; + } + + + if (! psk31_fill_msg_current.phase_buffer[i]) { + current_psk_phase *= -1; + } + } + + // We have completed this message + + psk31_transmit_ongoing = 0; + } + } +} + +/* + * Turn a null terminated ASCII string into a null terminated + * string of '0's and '1's representing the PSK31 varicode for the input. + * + * outstr must be at least size 20 + strlen(instr)*12 + 20 to accomodate + * the header and tail + */ +static void psk31_str_to_bits(const char* instr, char* outbits) +{ + int i=0, j, k; + + /* Header of 0s */ + for (j=0; j < 20; j++) { + outbits[i++] = '0'; + } + + /* Encode the message, with 00 between letters */ + for (j=0; j < strlen(instr); j++) { + const char* varicode_bits = psk31_varicode[(int)instr[j]]; + for(k=0; k < strlen(varicode_bits); k++) { + outbits[i++] = varicode_bits[k]; + } + outbits[i++] = '0'; + outbits[i++] = '0'; + } + + /* Tail of 0s */ + for (j=0; j < 20; j++) { + outbits[i++] = '0'; + } + + /* NULL terminate */ + outbits[i] = 0; +} + +#if 0 +/* + * Turn a null terminated string `bits` containing '0's and '1's + * into `outlen` IQ samples for BPSK, `outbuf`. + * Note that `outlen` is set to the number of IQ samples, i.e. half the + * number of bytes in `outbuf`. + * Allocates memory (possibly lots of memory) for the IQ samples, which + * should be freed elsewhere. + * Modulation: + * '0': swap phase, smoothed by a cosine + * '1': maintain phase + * Output: I carries data, Q constantly 0 + */ +void bits_to_iq(char* bits, uint8_t** outbuf, int* outlen) +{ + *outlen = strlen(bits) * 256000 * 2; + *outbuf = malloc(*outlen); + int8_t *buf = (int8_t*)(*outbuf); + if(*outbuf == NULL) { + fprintf(stderr, "Could not allocate memory for IQ buffer\n"); + exit(EXIT_FAILURE); + } + + int i, j, phase = 1; + for(i=0; i +#include + +void psk31_init(unsigned int samplerate); + +// Append new psk31 text to transmit +// PSK31 audio centre frequency in Hz +// returns 0 on failure, 1 on success +int psk31_push_message(const char* text, int frequency); + + +// Write the waveform into the buffer (stereo) +size_t psk31_fill_buffer(int16_t *buf, size_t bufsize); + +// Return 1 if the psk31 generator has completed transmission +int psk31_busy(void); + + +/* + * PSK31 Varicode + * http://aintel.bi.ehu.es/psk31.html + */ +const char *psk31_varicode[] = { + "1010101011", + "1011011011", + "1011101101", + "1101110111", + "1011101011", + "1101011111", + "1011101111", + "1011111101", + "1011111111", + "11101111", + "11101", + "1101101111", + "1011011101", + "11111", + "1101110101", + "1110101011", + "1011110111", + "1011110101", + "1110101101", + "1110101111", + "1101011011", + "1101101011", + "1101101101", + "1101010111", + "1101111011", + "1101111101", + "1110110111", + "1101010101", + "1101011101", + "1110111011", + "1011111011", + "1101111111", + "1", + "111111111", + "101011111", + "111110101", + "111011011", + "1011010101", + "1010111011", + "101111111", + "11111011", + "11110111", + "101101111", + "111011111", + "1110101", + "110101", + "1010111", + "110101111", + "10110111", + "10111101", + "11101101", + "11111111", + "101110111", + "101011011", + "101101011", + "110101101", + "110101011", + "110110111", + "11110101", + "110111101", + "111101101", + "1010101", + "111010111", + "1010101111", + "1010111101", + "1111101", + "11101011", + "10101101", + "10110101", + "1110111", + "11011011", + "11111101", + "101010101", + "1111111", + "111111101", + "101111101", + "11010111", + "10111011", + "11011101", + "10101011", + "11010101", + "111011101", + "10101111", + "1101111", + "1101101", + "101010111", + "110110101", + "101011101", + "101110101", + "101111011", + "1010101101", + "111110111", + "111101111", + "111111011", + "1010111111", + "101101101", + "1011011111", + "1011", + "1011111", + "101111", + "101101", + "11", + "111101", + "1011011", + "101011", + "1101", + "111101011", + "10111111", + "11011", + "111011", + "1111", + "111", + "111111", + "110111111", + "10101", + "10111", + "101", + "110111", + "1111011", + "1101011", + "11011111", + "1011101", + "111010101", + "1010110111", + "110111011", + "1010110101", + "1011010111", + "1110110101", +}; + +#endif // __PSK_31_H_ + -- cgit v1.2.3