diff options
| author | Matthias P. Braendli <matthias.braendli@mpb.li> | 2015-12-28 23:17:36 +0100 |
|---|---|---|
| committer | Matthias P. Braendli <matthias.braendli@mpb.li> | 2015-12-28 23:17:36 +0100 |
| commit | 08c29c2f54d48f6c127e7964f8a71aeaa92a0e2f (patch) | |
| tree | 0452acfdfac431df2f0e2f170525eb58c9943350 | |
| parent | 3a33374c1c2727a190277170ad49f324c752391f (diff) | |
| download | glutte-o-matic-08c29c2f54d48f6c127e7964f8a71aeaa92a0e2f.tar.gz glutte-o-matic-08c29c2f54d48f6c127e7964f8a71aeaa92a0e2f.tar.bz2 glutte-o-matic-08c29c2f54d48f6c127e7964f8a71aeaa92a0e2f.zip | |
Add PSK31 code and arm_cos_f32
| -rw-r--r-- | src/bsp/arm_common_tables.c | 27251 | ||||
| -rw-r--r-- | src/bsp/arm_common_tables.h | 136 | ||||
| -rw-r--r-- | src/bsp/arm_cos_f32.c | 138 | ||||
| -rw-r--r-- | src/bsp/arm_math.h | 7556 | ||||
| -rw-r--r-- | src/fsm/common.h | 3 | ||||
| -rw-r--r-- | src/fsm/cw.c | 1 | ||||
| -rw-r--r-- | src/fsm/cw.h | 2 | ||||
| -rw-r--r-- | src/fsm/psk31.c | 278 | ||||
| -rw-r--r-- | src/fsm/psk31.h | 184 |
9 files changed, 35547 insertions, 2 deletions
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
+* <pre>for(l=1;l <= N/4;l++)
+* {
+* for(i=0;i<logN2;i++)
+* {
+* a[i]=l&(1<<i);
+* }
+* for(j=0; j<logN2; j++)
+* {
+* if (a[j]!=0)
+* y[l]+=(1<<((logN2-1)-j));
+* }
+* y[l] = y[l] >> 1;
+* } </pre>
+* \par
+* where N = 4096 logN2 = 12
+* \par
+* N is the maximum FFT Size supported
+*/
+
+/*
+* @brief Table for bit reversal process
+*/
+const uint16_t armBitRevTable[1024] = {
+ 0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, 0x80, 0x480, 0x280,
+ 0x680, 0x180, 0x580, 0x380, 0x780, 0x40, 0x440, 0x240, 0x640, 0x140,
+ 0x540, 0x340, 0x740, 0xc0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, 0x5c0, 0x3c0,
+ 0x7c0, 0x20, 0x420, 0x220, 0x620, 0x120, 0x520, 0x320, 0x720, 0xa0,
+ 0x4a0, 0x2a0, 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x60, 0x460, 0x260,
+ 0x660, 0x160, 0x560, 0x360, 0x760, 0xe0, 0x4e0, 0x2e0, 0x6e0, 0x1e0,
+ 0x5e0, 0x3e0, 0x7e0, 0x10, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310,
+ 0x710, 0x90, 0x490, 0x290, 0x690, 0x190, 0x590, 0x390, 0x790, 0x50,
+ 0x450, 0x250, 0x650, 0x150, 0x550, 0x350, 0x750, 0xd0, 0x4d0, 0x2d0,
+ 0x6d0, 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x30, 0x430, 0x230, 0x630, 0x130,
+ 0x530, 0x330, 0x730, 0xb0, 0x4b0, 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0,
+ 0x7b0, 0x70, 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, 0xf0,
+ 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, 0x7f0, 0x8, 0x408, 0x208,
+ 0x608, 0x108, 0x508, 0x308, 0x708, 0x88, 0x488, 0x288, 0x688, 0x188,
+ 0x588, 0x388, 0x788, 0x48, 0x448, 0x248, 0x648, 0x148, 0x548, 0x348,
+ 0x748, 0xc8, 0x4c8, 0x2c8, 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x28,
+ 0x428, 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0xa8, 0x4a8, 0x2a8,
+ 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, 0x68, 0x468, 0x268, 0x668, 0x168,
+ 0x568, 0x368, 0x768, 0xe8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, 0x3e8,
+ 0x7e8, 0x18, 0x418, 0x218, 0x618, 0x118, 0x518, 0x318, 0x718, 0x98,
+ 0x498, 0x298, 0x698, 0x198, 0x598, 0x398, 0x798, 0x58, 0x458, 0x258,
+ 0x658, 0x158, 0x558, 0x358, 0x758, 0xd8, 0x4d8, 0x2d8, 0x6d8, 0x1d8,
+ 0x5d8, 0x3d8, 0x7d8, 0x38, 0x438, 0x238, 0x638, 0x138, 0x538, 0x338,
+ 0x738, 0xb8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, 0x7b8, 0x78,
+ 0x478, 0x278, 0x678, 0x178, 0x578, 0x378, 0x778, 0xf8, 0x4f8, 0x2f8,
+ 0x6f8, 0x1f8, 0x5f8, 0x3f8, 0x7f8, 0x4, 0x404, 0x204, 0x604, 0x104,
+ 0x504, 0x304, 0x704, 0x84, 0x484, 0x284, 0x684, 0x184, 0x584, 0x384,
+ 0x784, 0x44, 0x444, 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0xc4,
+ 0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, 0x24, 0x424, 0x224,
+ 0x624, 0x124, 0x524, 0x324, 0x724, 0xa4, 0x4a4, 0x2a4, 0x6a4, 0x1a4,
+ 0x5a4, 0x3a4, 0x7a4, 0x64, 0x464, 0x264, 0x664, 0x164, 0x564, 0x364,
+ 0x764, 0xe4, 0x4e4, 0x2e4, 0x6e4, 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x14,
+ 0x414, 0x214, 0x614, 0x114, 0x514, 0x314, 0x714, 0x94, 0x494, 0x294,
+ 0x694, 0x194, 0x594, 0x394, 0x794, 0x54, 0x454, 0x254, 0x654, 0x154,
+ 0x554, 0x354, 0x754, 0xd4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4,
+ 0x7d4, 0x34, 0x434, 0x234, 0x634, 0x134, 0x534, 0x334, 0x734, 0xb4,
+ 0x4b4, 0x2b4, 0x6b4, 0x1b4, 0x5b4, 0x3b4, 0x7b4, 0x74, 0x474, 0x274,
+ 0x674, 0x174, 0x574, 0x374, 0x774, 0xf4, 0x4f4, 0x2f4, 0x6f4, 0x1f4,
+ 0x5f4, 0x3f4, 0x7f4, 0xc, 0x40c, 0x20c, 0x60c, 0x10c, 0x50c, 0x30c,
+ 0x70c, 0x8c, 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, 0x4c,
+ 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, 0x74c, 0xcc, 0x4cc, 0x2cc,
+ 0x6cc, 0x1cc, 0x5cc, 0x3cc, 0x7cc, 0x2c, 0x42c, 0x22c, 0x62c, 0x12c,
+ 0x52c, 0x32c, 0x72c, 0xac, 0x4ac, 0x2ac, 0x6ac, 0x1ac, 0x5ac, 0x3ac,
+ 0x7ac, 0x6c, 0x46c, 0x26c, 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0xec,
+ 0x4ec, 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x1c, 0x41c, 0x21c,
+ 0x61c, 0x11c, 0x51c, 0x31c, 0x71c, 0x9c, 0x49c, 0x29c, 0x69c, 0x19c,
+ 0x59c, 0x39c, 0x79c, 0x5c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, 0x35c,
+ 0x75c, 0xdc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, 0x5dc, 0x3dc, 0x7dc, 0x3c,
+ 0x43c, 0x23c, 0x63c, 0x13c, 0x53c, 0x33c, 0x73c, 0xbc, 0x4bc, 0x2bc,
+ 0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x7c, 0x47c, 0x27c, 0x67c, 0x17c,
+ 0x57c, 0x37c, 0x77c, 0xfc, 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc,
+ 0x7fc, 0x2, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, 0x702, 0x82,
+ 0x482, 0x282, 0x682, 0x182, 0x582, 0x382, 0x782, 0x42, 0x442, 0x242,
+ 0x642, 0x142, 0x542, 0x342, 0x742, 0xc2, 0x4c2, 0x2c2, 0x6c2, 0x1c2,
+ 0x5c2, 0x3c2, 0x7c2, 0x22, 0x422, 0x222, 0x622, 0x122, 0x522, 0x322,
+ 0x722, 0xa2, 0x4a2, 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x62,
+ 0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, 0xe2, 0x4e2, 0x2e2,
+ 0x6e2, 0x1e2, 0x5e2, 0x3e2, 0x7e2, 0x12, 0x412, 0x212, 0x612, 0x112,
+ 0x512, 0x312, 0x712, 0x92, 0x492, 0x292, 0x692, 0x192, 0x592, 0x392,
+ 0x792, 0x52, 0x452, 0x252, 0x652, 0x152, 0x552, 0x352, 0x752, 0xd2,
+ 0x4d2, 0x2d2, 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x32, 0x432, 0x232,
+ 0x632, 0x132, 0x532, 0x332, 0x732, 0xb2, 0x4b2, 0x2b2, 0x6b2, 0x1b2,
+ 0x5b2, 0x3b2, 0x7b2, 0x72, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372,
+ 0x772, 0xf2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, 0x3f2, 0x7f2, 0xa,
+ 0x40a, 0x20a, 0x60a, 0x10a, 0x50a, 0x30a, 0x70a, 0x8a, 0x48a, 0x28a,
+ 0x68a, 0x18a, 0x58a, 0x38a, 0x78a, 0x4a, 0x44a, 0x24a, 0x64a, 0x14a,
+ 0x54a, 0x34a, 0x74a, 0xca, 0x4ca, 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca,
+ 0x7ca, 0x2a, 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, 0xaa,
+ 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, 0x7aa, 0x6a, 0x46a, 0x26a,
+ 0x66a, 0x16a, 0x56a, 0x36a, 0x76a, 0xea, 0x4ea, 0x2ea, 0x6ea, 0x1ea,
+ 0x5ea, 0x3ea, 0x7ea, 0x1a, 0x41a, 0x21a, 0x61a, 0x11a, 0x51a, 0x31a,
+ 0x71a, 0x9a, 0x49a, 0x29a, 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a,
+ 0x45a, 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0xda, 0x4da, 0x2da,
+ 0x6da, 0x1da, 0x5da, 0x3da, 0x7da, 0x3a, 0x43a, 0x23a, 0x63a, 0x13a,
+ 0x53a, 0x33a, 0x73a, 0xba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, 0x3ba,
+ 0x7ba, 0x7a, 0x47a, 0x27a, 0x67a, 0x17a, 0x57a, 0x37a, 0x77a, 0xfa,
+ 0x4fa, 0x2fa, 0x6fa, 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x6, 0x406, 0x206,
+ 0x606, 0x106, 0x506, 0x306, 0x706, 0x86, 0x486, 0x286, 0x686, 0x186,
+ 0x586, 0x386, 0x786, 0x46, 0x446, 0x246, 0x646, 0x146, 0x546, 0x346,
+ 0x746, 0xc6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, 0x7c6, 0x26,
+ 0x426, 0x226, 0x626, 0x126, 0x526, 0x326, 0x726, 0xa6, 0x4a6, 0x2a6,
+ 0x6a6, 0x1a6, 0x5a6, 0x3a6, 0x7a6, 0x66, 0x466, 0x266, 0x666, 0x166,
+ 0x566, 0x366, 0x766, 0xe6, 0x4e6, 0x2e6, 0x6e6, 0x1e6, 0x5e6, 0x3e6,
+ 0x7e6, 0x16, 0x416, 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x96,
+ 0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, 0x56, 0x456, 0x256,
+ 0x656, 0x156, 0x556, 0x356, 0x756, 0xd6, 0x4d6, 0x2d6, 0x6d6, 0x1d6,
+ 0x5d6, 0x3d6, 0x7d6, 0x36, 0x436, 0x236, 0x636, 0x136, 0x536, 0x336,
+ 0x736, 0xb6, 0x4b6, 0x2b6, 0x6b6, 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x76,
+ 0x476, 0x276, 0x676, 0x176, 0x576, 0x376, 0x776, 0xf6, 0x4f6, 0x2f6,
+ 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0xe, 0x40e, 0x20e, 0x60e, 0x10e,
+ 0x50e, 0x30e, 0x70e, 0x8e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e,
+ 0x78e, 0x4e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, 0x34e, 0x74e, 0xce,
+ 0x4ce, 0x2ce, 0x6ce, 0x1ce, 0x5ce, 0x3ce, 0x7ce, 0x2e, 0x42e, 0x22e,
+ 0x62e, 0x12e, 0x52e, 0x32e, 0x72e, 0xae, 0x4ae, 0x2ae, 0x6ae, 0x1ae,
+ 0x5ae, 0x3ae, 0x7ae, 0x6e, 0x46e, 0x26e, 0x66e, 0x16e, 0x56e, 0x36e,
+ 0x76e, 0xee, 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, 0x1e,
+ 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, 0x71e, 0x9e, 0x49e, 0x29e,
+ 0x69e, 0x19e, 0x59e, 0x39e, 0x79e, 0x5e, 0x45e, 0x25e, 0x65e, 0x15e,
+ 0x55e, 0x35e, 0x75e, 0xde, 0x4de, 0x2de, 0x6de, 0x1de, 0x5de, 0x3de,
+ 0x7de, 0x3e, 0x43e, 0x23e, 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0xbe,
+ 0x4be, 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x7e, 0x47e, 0x27e,
+ 0x67e, 0x17e, 0x57e, 0x37e, 0x77e, 0xfe, 0x4fe, 0x2fe, 0x6fe, 0x1fe,
+ 0x5fe, 0x3fe, 0x7fe, 0x1
+};
+
+
+/*
+* @brief Floating-point Twiddle factors Table Generation
+*/
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* <pre>for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 16 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float32_t twiddleCoef_16[32] = {
+ 1.000000000f, 0.000000000f,
+ 0.923879533f, 0.382683432f,
+ 0.707106781f, 0.707106781f,
+ 0.382683432f, 0.923879533f,
+ 0.000000000f, 1.000000000f,
+ -0.382683432f, 0.923879533f,
+ -0.707106781f, 0.707106781f,
+ -0.923879533f, 0.382683432f,
+ -1.000000000f, 0.000000000f,
+ -0.923879533f, -0.382683432f,
+ -0.707106781f, -0.707106781f,
+ -0.382683432f, -0.923879533f,
+ -0.000000000f, -1.000000000f,
+ 0.382683432f, -0.923879533f,
+ 0.707106781f, -0.707106781f,
+ 0.923879533f, -0.382683432f
+};
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* <pre>for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 32 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float32_t twiddleCoef_32[64] = {
+ 1.000000000f, 0.000000000f,
+ 0.980785280f, 0.195090322f,
+ 0.923879533f, 0.382683432f,
+ 0.831469612f, 0.555570233f,
+ 0.707106781f, 0.707106781f,
+ 0.555570233f, 0.831469612f,
+ 0.382683432f, 0.923879533f,
+ 0.195090322f, 0.980785280f,
+ 0.000000000f, 1.000000000f,
+ -0.195090322f, 0.980785280f,
+ -0.382683432f, 0.923879533f,
+ -0.555570233f, 0.831469612f,
+ -0.707106781f, 0.707106781f,
+ -0.831469612f, 0.555570233f,
+ -0.923879533f, 0.382683432f,
+ -0.980785280f, 0.195090322f,
+ -1.000000000f, 0.000000000f,
+ -0.980785280f, -0.195090322f,
+ -0.923879533f, -0.382683432f,
+ -0.831469612f, -0.555570233f,
+ -0.707106781f, -0.707106781f,
+ -0.555570233f, -0.831469612f,
+ -0.382683432f, -0.923879533f,
+ -0.195090322f, -0.980785280f,
+ -0.000000000f, -1.000000000f,
+ 0.195090322f, -0.980785280f,
+ 0.382683432f, -0.923879533f,
+ 0.555570233f, -0.831469612f,
+ 0.707106781f, -0.707106781f,
+ 0.831469612f, -0.555570233f,
+ 0.923879533f, -0.382683432f,
+ 0.980785280f, -0.195090322f
+};
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* <pre>for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 64 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float32_t twiddleCoef_64[128] = {
+ 1.000000000f, 0.000000000f,
+ 0.995184727f, 0.098017140f,
+ 0.980785280f, 0.195090322f,
+ 0.956940336f, 0.290284677f,
+ 0.923879533f, 0.382683432f,
+ 0.881921264f, 0.471396737f,
+ 0.831469612f, 0.555570233f,
+ 0.773010453f, 0.634393284f,
+ 0.707106781f, 0.707106781f,
+ 0.634393284f, 0.773010453f,
+ 0.555570233f, 0.831469612f,
+ 0.471396737f, 0.881921264f,
+ 0.382683432f, 0.923879533f,
+ 0.290284677f, 0.956940336f,
+ 0.195090322f, 0.980785280f,
+ 0.098017140f, 0.995184727f,
+ 0.000000000f, 1.000000000f,
+ -0.098017140f, 0.995184727f,
+ -0.195090322f, 0.980785280f,
+ -0.290284677f, 0.956940336f,
+ -0.382683432f, 0.923879533f,
+ -0.471396737f, 0.881921264f,
+ -0.555570233f, 0.831469612f,
+ -0.634393284f, 0.773010453f,
+ -0.707106781f, 0.707106781f,
+ -0.773010453f, 0.634393284f,
+ -0.831469612f, 0.555570233f,
+ -0.881921264f, 0.471396737f,
+ -0.923879533f, 0.382683432f,
+ -0.956940336f, 0.290284677f,
+ -0.980785280f, 0.195090322f,
+ -0.995184727f, 0.098017140f,
+ -1.000000000f, 0.000000000f,
+ -0.995184727f, -0.098017140f,
+ -0.980785280f, -0.195090322f,
+ -0.956940336f, -0.290284677f,
+ -0.923879533f, -0.382683432f,
+ -0.881921264f, -0.471396737f,
+ -0.831469612f, -0.555570233f,
+ -0.773010453f, -0.634393284f,
+ -0.707106781f, -0.707106781f,
+ -0.634393284f, -0.773010453f,
+ -0.555570233f, -0.831469612f,
+ -0.471396737f, -0.881921264f,
+ -0.382683432f, -0.923879533f,
+ -0.290284677f, -0.956940336f,
+ -0.195090322f, -0.980785280f,
+ -0.098017140f, -0.995184727f,
+ -0.000000000f, -1.000000000f,
+ 0.098017140f, -0.995184727f,
+ 0.195090322f, -0.980785280f,
+ 0.290284677f, -0.956940336f,
+ 0.382683432f, -0.923879533f,
+ 0.471396737f, -0.881921264f,
+ 0.555570233f, -0.831469612f,
+ 0.634393284f, -0.773010453f,
+ 0.707106781f, -0.707106781f,
+ 0.773010453f, -0.634393284f,
+ 0.831469612f, -0.555570233f,
+ 0.881921264f, -0.471396737f,
+ 0.923879533f, -0.382683432f,
+ 0.956940336f, -0.290284677f,
+ 0.980785280f, -0.195090322f,
+ 0.995184727f, -0.098017140f
+};
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* <pre>for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 128 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+
+const float32_t twiddleCoef_128[256] = {
+ 1.000000000f , 0.000000000f ,
+ 0.998795456f , 0.049067674f ,
+ 0.995184727f , 0.098017140f ,
+ 0.989176510f , 0.146730474f ,
+ 0.980785280f , 0.195090322f ,
+ 0.970031253f , 0.242980180f ,
+ 0.956940336f , 0.290284677f ,
+ 0.941544065f , 0.336889853f ,
+ 0.923879533f , 0.382683432f ,
+ 0.903989293f , 0.427555093f ,
+ 0.881921264f , 0.471396737f ,
+ 0.857728610f , 0.514102744f ,
+ 0.831469612f , 0.555570233f ,
+ 0.803207531f , 0.595699304f ,
+ 0.773010453f , 0.634393284f ,
+ 0.740951125f , 0.671558955f ,
+ 0.707106781f , 0.707106781f ,
+ 0.671558955f , 0.740951125f ,
+ 0.634393284f , 0.773010453f ,
+ 0.595699304f , 0.803207531f ,
+ 0.555570233f , 0.831469612f ,
+ 0.514102744f , 0.857728610f ,
+ 0.471396737f , 0.881921264f ,
+ 0.427555093f , 0.903989293f ,
+ 0.382683432f , 0.923879533f ,
+ 0.336889853f , 0.941544065f ,
+ 0.290284677f , 0.956940336f ,
+ 0.242980180f , 0.970031253f ,
+ 0.195090322f , 0.980785280f ,
+ 0.146730474f , 0.989176510f ,
+ 0.098017140f , 0.995184727f ,
+ 0.049067674f , 0.998795456f ,
+ 0.000000000f , 1.000000000f ,
+ -0.049067674f , 0.998795456f ,
+ -0.098017140f , 0.995184727f ,
+ -0.146730474f , 0.989176510f ,
+ -0.195090322f , 0.980785280f ,
+ -0.242980180f , 0.970031253f ,
+ -0.290284677f , 0.956940336f ,
+ -0.336889853f , 0.941544065f ,
+ -0.382683432f , 0.923879533f ,
+ -0.427555093f , 0.903989293f ,
+ -0.471396737f , 0.881921264f ,
+ -0.514102744f , 0.857728610f ,
+ -0.555570233f , 0.831469612f ,
+ -0.595699304f , 0.803207531f ,
+ -0.634393284f , 0.773010453f ,
+ -0.671558955f , 0.740951125f ,
+ -0.707106781f , 0.707106781f ,
+ -0.740951125f , 0.671558955f ,
+ -0.773010453f , 0.634393284f ,
+ -0.803207531f , 0.595699304f ,
+ -0.831469612f , 0.555570233f ,
+ -0.857728610f , 0.514102744f ,
+ -0.881921264f , 0.471396737f ,
+ -0.903989293f , 0.427555093f ,
+ -0.923879533f , 0.382683432f ,
+ -0.941544065f , 0.336889853f ,
+ -0.956940336f , 0.290284677f ,
+ -0.970031253f , 0.242980180f ,
+ -0.980785280f , 0.195090322f ,
+ -0.989176510f , 0.146730474f ,
+ -0.995184727f , 0.098017140f ,
+ -0.998795456f , 0.049067674f ,
+ -1.000000000f , 0.000000000f ,
+ -0.998795456f , -0.049067674f ,
+ -0.995184727f , -0.098017140f ,
+ -0.989176510f , -0.146730474f ,
+ -0.980785280f , -0.195090322f ,
+ -0.970031253f , -0.242980180f ,
+ -0.956940336f , -0.290284677f ,
+ -0.941544065f , -0.336889853f ,
+ -0.923879533f , -0.382683432f ,
+ -0.903989293f , -0.427555093f ,
+ -0.881921264f , -0.471396737f ,
+ -0.857728610f , -0.514102744f ,
+ -0.831469612f , -0.555570233f ,
+ -0.803207531f , -0.595699304f ,
+ -0.773010453f , -0.634393284f ,
+ -0.740951125f , -0.671558955f ,
+ -0.707106781f , -0.707106781f ,
+ -0.671558955f , -0.740951125f ,
+ -0.634393284f , -0.773010453f ,
+ -0.595699304f , -0.803207531f ,
+ -0.555570233f , -0.831469612f ,
+ -0.514102744f , -0.857728610f ,
+ -0.471396737f , -0.881921264f ,
+ -0.427555093f , -0.903989293f ,
+ -0.382683432f , -0.923879533f ,
+ -0.336889853f , -0.941544065f ,
+ -0.290284677f , -0.956940336f ,
+ -0.242980180f , -0.970031253f ,
+ -0.195090322f , -0.980785280f ,
+ -0.146730474f , -0.989176510f ,
+ -0.098017140f , -0.995184727f ,
+ -0.049067674f , -0.998795456f ,
+ -0.000000000f , -1.000000000f ,
+ 0.049067674f , -0.998795456f ,
+ 0.098017140f , -0.995184727f ,
+ 0.146730474f , -0.989176510f ,
+ 0.195090322f , -0.980785280f ,
+ 0.242980180f , -0.970031253f ,
+ 0.290284677f , -0.956940336f ,
+ 0.336889853f , -0.941544065f ,
+ 0.382683432f , -0.923879533f ,
+ 0.427555093f , -0.903989293f ,
+ 0.471396737f , -0.881921264f ,
+ 0.514102744f , -0.857728610f ,
+ 0.555570233f , -0.831469612f ,
+ 0.595699304f , -0.803207531f ,
+ 0.634393284f , -0.773010453f ,
+ 0.671558955f , -0.740951125f ,
+ 0.707106781f , -0.707106781f ,
+ 0.740951125f , -0.671558955f ,
+ 0.773010453f , -0.634393284f ,
+ 0.803207531f , -0.595699304f ,
+ 0.831469612f , -0.555570233f ,
+ 0.857728610f , -0.514102744f ,
+ 0.881921264f , -0.471396737f ,
+ 0.903989293f , -0.427555093f ,
+ 0.923879533f , -0.382683432f ,
+ 0.941544065f , -0.336889853f ,
+ 0.956940336f , -0.290284677f ,
+ 0.970031253f , -0.242980180f ,
+ 0.980785280f , -0.195090322f ,
+ 0.989176510f , -0.146730474f ,
+ 0.995184727f , -0.098017140f ,
+ 0.998795456f , -0.049067674f
+};
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* <pre>for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 256 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float32_t twiddleCoef_256[512] = {
+ 1.000000000f, 0.000000000f,
+ 0.999698819f, 0.024541229f,
+ 0.998795456f, 0.049067674f,
+ 0.997290457f, 0.073564564f,
+ 0.995184727f, 0.098017140f,
+ 0.992479535f, 0.122410675f,
+ 0.989176510f, 0.146730474f,
+ 0.985277642f, 0.170961889f,
+ 0.980785280f, 0.195090322f,
+ 0.975702130f, 0.219101240f,
+ 0.970031253f, 0.242980180f,
+ 0.963776066f, 0.266712757f,
+ 0.956940336f, 0.290284677f,
+ 0.949528181f, 0.313681740f,
+ 0.941544065f, 0.336889853f,
+ 0.932992799f, 0.359895037f,
+ 0.923879533f, 0.382683432f,
+ 0.914209756f, 0.405241314f,
+ 0.903989293f, 0.427555093f,
+ 0.893224301f, 0.449611330f,
+ 0.881921264f, 0.471396737f,
+ 0.870086991f, 0.492898192f,
+ 0.857728610f, 0.514102744f,
+ 0.844853565f, 0.534997620f,
+ 0.831469612f, 0.555570233f,
+ 0.817584813f, 0.575808191f,
+ 0.803207531f, 0.595699304f,
+ 0.788346428f, 0.615231591f,
+ 0.773010453f, 0.634393284f,
+ 0.757208847f, 0.653172843f,
+ 0.740951125f, 0.671558955f,
+ 0.724247083f, 0.689540545f,
+ 0.707106781f, 0.707106781f,
+ 0.689540545f, 0.724247083f,
+ 0.671558955f, 0.740951125f,
+ 0.653172843f, 0.757208847f,
+ 0.634393284f, 0.773010453f,
+ 0.615231591f, 0.788346428f,
+ 0.595699304f, 0.803207531f,
+ 0.575808191f, 0.817584813f,
+ 0.555570233f, 0.831469612f,
+ 0.534997620f, 0.844853565f,
+ 0.514102744f, 0.857728610f,
+ 0.492898192f, 0.870086991f,
+ 0.471396737f, 0.881921264f,
+ 0.449611330f, 0.893224301f,
+ 0.427555093f, 0.903989293f,
+ 0.405241314f, 0.914209756f,
+ 0.382683432f, 0.923879533f,
+ 0.359895037f, 0.932992799f,
+ 0.336889853f, 0.941544065f,
+ 0.313681740f, 0.949528181f,
+ 0.290284677f, 0.956940336f,
+ 0.266712757f, 0.963776066f,
+ 0.242980180f, 0.970031253f,
+ 0.219101240f, 0.975702130f,
+ 0.195090322f, 0.980785280f,
+ 0.170961889f, 0.985277642f,
+ 0.146730474f, 0.989176510f,
+ 0.122410675f, 0.992479535f,
+ 0.098017140f, 0.995184727f,
+ 0.073564564f, 0.997290457f,
+ 0.049067674f, 0.998795456f,
+ 0.024541229f, 0.999698819f,
+ 0.000000000f, 1.000000000f,
+ -0.024541229f, 0.999698819f,
+ -0.049067674f, 0.998795456f,
+ -0.073564564f, 0.997290457f,
+ -0.098017140f, 0.995184727f,
+ -0.122410675f, 0.992479535f,
+ -0.146730474f, 0.989176510f,
+ -0.170961889f, 0.985277642f,
+ -0.195090322f, 0.980785280f,
+ -0.219101240f, 0.975702130f,
+ -0.242980180f, 0.970031253f,
+ -0.266712757f, 0.963776066f,
+ -0.290284677f, 0.956940336f,
+ -0.313681740f, 0.949528181f,
+ -0.336889853f, 0.941544065f,
+ -0.359895037f, 0.932992799f,
+ -0.382683432f, 0.923879533f,
+ -0.405241314f, 0.914209756f,
+ -0.427555093f, 0.903989293f,
+ -0.449611330f, 0.893224301f,
+ -0.471396737f, 0.881921264f,
+ -0.492898192f, 0.870086991f,
+ -0.514102744f, 0.857728610f,
+ -0.534997620f, 0.844853565f,
+ -0.555570233f, 0.831469612f,
+ -0.575808191f, 0.817584813f,
+ -0.595699304f, 0.803207531f,
+ -0.615231591f, 0.788346428f,
+ -0.634393284f, 0.773010453f,
+ -0.653172843f, 0.757208847f,
+ -0.671558955f, 0.740951125f,
+ -0.689540545f, 0.724247083f,
+ -0.707106781f, 0.707106781f,
+ -0.724247083f, 0.689540545f,
+ -0.740951125f, 0.671558955f,
+ -0.757208847f, 0.653172843f,
+ -0.773010453f, 0.634393284f,
+ -0.788346428f, 0.615231591f,
+ -0.803207531f, 0.595699304f,
+ -0.817584813f, 0.575808191f,
+ -0.831469612f, 0.555570233f,
+ -0.844853565f, 0.534997620f,
+ -0.857728610f, 0.514102744f,
+ -0.870086991f, 0.492898192f,
+ -0.881921264f, 0.471396737f,
+ -0.893224301f, 0.449611330f,
+ -0.903989293f, 0.427555093f,
+ -0.914209756f, 0.405241314f,
+ -0.923879533f, 0.382683432f,
+ -0.932992799f, 0.359895037f,
+ -0.941544065f, 0.336889853f,
+ -0.949528181f, 0.313681740f,
+ -0.956940336f, 0.290284677f,
+ -0.963776066f, 0.266712757f,
+ -0.970031253f, 0.242980180f,
+ -0.975702130f, 0.219101240f,
+ -0.980785280f, 0.195090322f,
+ -0.985277642f, 0.170961889f,
+ -0.989176510f, 0.146730474f,
+ -0.992479535f, 0.122410675f,
+ -0.995184727f, 0.098017140f,
+ -0.997290457f, 0.073564564f,
+ -0.998795456f, 0.049067674f,
+ -0.999698819f, 0.024541229f,
+ -1.000000000f, 0.000000000f,
+ -0.999698819f, -0.024541229f,
+ -0.998795456f, -0.049067674f,
+ -0.997290457f, -0.073564564f,
+ -0.995184727f, -0.098017140f,
+ -0.992479535f, -0.122410675f,
+ -0.989176510f, -0.146730474f,
+ -0.985277642f, -0.170961889f,
+ -0.980785280f, -0.195090322f,
+ -0.975702130f, -0.219101240f,
+ -0.970031253f, -0.242980180f,
+ -0.963776066f, -0.266712757f,
+ -0.956940336f, -0.290284677f,
+ -0.949528181f, -0.313681740f,
+ -0.941544065f, -0.336889853f,
+ -0.932992799f, -0.359895037f,
+ -0.923879533f, -0.382683432f,
+ -0.914209756f, -0.405241314f,
+ -0.903989293f, -0.427555093f,
+ -0.893224301f, -0.449611330f,
+ -0.881921264f, -0.471396737f,
+ -0.870086991f, -0.492898192f,
+ -0.857728610f, -0.514102744f,
+ -0.844853565f, -0.534997620f,
+ -0.831469612f, -0.555570233f,
+ -0.817584813f, -0.575808191f,
+ -0.803207531f, -0.595699304f,
+ -0.788346428f, -0.615231591f,
+ -0.773010453f, -0.634393284f,
+ -0.757208847f, -0.653172843f,
+ -0.740951125f, -0.671558955f,
+ -0.724247083f, -0.689540545f,
+ -0.707106781f, -0.707106781f,
+ -0.689540545f, -0.724247083f,
+ -0.671558955f, -0.740951125f,
+ -0.653172843f, -0.757208847f,
+ -0.634393284f, -0.773010453f,
+ -0.615231591f, -0.788346428f,
+ -0.595699304f, -0.803207531f,
+ -0.575808191f, -0.817584813f,
+ -0.555570233f, -0.831469612f,
+ -0.534997620f, -0.844853565f,
+ -0.514102744f, -0.857728610f,
+ -0.492898192f, -0.870086991f,
+ -0.471396737f, -0.881921264f,
+ -0.449611330f, -0.893224301f,
+ -0.427555093f, -0.903989293f,
+ -0.405241314f, -0.914209756f,
+ -0.382683432f, -0.923879533f,
+ -0.359895037f, -0.932992799f,
+ -0.336889853f, -0.941544065f,
+ -0.313681740f, -0.949528181f,
+ -0.290284677f, -0.956940336f,
+ -0.266712757f, -0.963776066f,
+ -0.242980180f, -0.970031253f,
+ -0.219101240f, -0.975702130f,
+ -0.195090322f, -0.980785280f,
+ -0.170961889f, -0.985277642f,
+ -0.146730474f, -0.989176510f,
+ -0.122410675f, -0.992479535f,
+ -0.098017140f, -0.995184727f,
+ -0.073564564f, -0.997290457f,
+ -0.049067674f, -0.998795456f,
+ -0.024541229f, -0.999698819f,
+ -0.000000000f, -1.000000000f,
+ 0.024541229f, -0.999698819f,
+ 0.049067674f, -0.998795456f,
+ 0.073564564f, -0.997290457f,
+ 0.098017140f, -0.995184727f,
+ 0.122410675f, -0.992479535f,
+ 0.146730474f, -0.989176510f,
+ 0.170961889f, -0.985277642f,
+ 0.195090322f, -0.980785280f,
+ 0.219101240f, -0.975702130f,
+ 0.242980180f, -0.970031253f,
+ 0.266712757f, -0.963776066f,
+ 0.290284677f, -0.956940336f,
+ 0.313681740f, -0.949528181f,
+ 0.336889853f, -0.941544065f,
+ 0.359895037f, -0.932992799f,
+ 0.382683432f, -0.923879533f,
+ 0.405241314f, -0.914209756f,
+ 0.427555093f, -0.903989293f,
+ 0.449611330f, -0.893224301f,
+ 0.471396737f, -0.881921264f,
+ 0.492898192f, -0.870086991f,
+ 0.514102744f, -0.857728610f,
+ 0.534997620f, -0.844853565f,
+ 0.555570233f, -0.831469612f,
+ 0.575808191f, -0.817584813f,
+ 0.595699304f, -0.803207531f,
+ 0.615231591f, -0.788346428f,
+ 0.634393284f, -0.773010453f,
+ 0.653172843f, -0.757208847f,
+ 0.671558955f, -0.740951125f,
+ 0.689540545f, -0.724247083f,
+ 0.707106781f, -0.707106781f,
+ 0.724247083f, -0.689540545f,
+ 0.740951125f, -0.671558955f,
+ 0.757208847f, -0.653172843f,
+ 0.773010453f, -0.634393284f,
+ 0.788346428f, -0.615231591f,
+ 0.803207531f, -0.595699304f,
+ 0.817584813f, -0.575808191f,
+ 0.831469612f, -0.555570233f,
+ 0.844853565f, -0.534997620f,
+ 0.857728610f, -0.514102744f,
+ 0.870086991f, -0.492898192f,
+ 0.881921264f, -0.471396737f,
+ 0.893224301f, -0.449611330f,
+ 0.903989293f, -0.427555093f,
+ 0.914209756f, -0.405241314f,
+ 0.923879533f, -0.382683432f,
+ 0.932992799f, -0.359895037f,
+ 0.941544065f, -0.336889853f,
+ 0.949528181f, -0.313681740f,
+ 0.956940336f, -0.290284677f,
+ 0.963776066f, -0.266712757f,
+ 0.970031253f, -0.242980180f,
+ 0.975702130f, -0.219101240f,
+ 0.980785280f, -0.195090322f,
+ 0.985277642f, -0.170961889f,
+ 0.989176510f, -0.146730474f,
+ 0.992479535f, -0.122410675f,
+ 0.995184727f, -0.098017140f,
+ 0.997290457f, -0.073564564f,
+ 0.998795456f, -0.049067674f,
+ 0.999698819f, -0.024541229f
+};
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* <pre>for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 512 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float32_t twiddleCoef_512[1024] = {
+ 1.000000000f, 0.000000000f,
+ 0.999924702f, 0.012271538f,
+ 0.999698819f, 0.024541229f,
+ 0.999322385f, 0.036807223f,
+ 0.998795456f, 0.049067674f,
+ 0.998118113f, 0.061320736f,
+ 0.997290457f, 0.073564564f,
+ 0.996312612f, 0.085797312f,
+ 0.995184727f, 0.098017140f,
+ 0.993906970f, 0.110222207f,
+ 0.992479535f, 0.122410675f,
+ 0.990902635f, 0.134580709f,
+ 0.989176510f, 0.146730474f,
+ 0.987301418f, 0.158858143f,
+ 0.985277642f, 0.170961889f,
+ 0.983105487f, 0.183039888f,
+ 0.980785280f, 0.195090322f,
+ 0.978317371f, 0.207111376f,
+ 0.975702130f, 0.219101240f,
+ 0.972939952f, 0.231058108f,
+ 0.970031253f, 0.242980180f,
+ 0.966976471f, 0.254865660f,
+ 0.963776066f, 0.266712757f,
+ 0.960430519f, 0.278519689f,
+ 0.956940336f, 0.290284677f,
+ 0.953306040f, 0.302005949f,
+ 0.949528181f, 0.313681740f,
+ 0.945607325f, 0.325310292f,
+ 0.941544065f, 0.336889853f,
+ 0.937339012f, 0.348418680f,
+ 0.932992799f, 0.359895037f,
+ 0.928506080f, 0.371317194f,
+ 0.923879533f, 0.382683432f,
+ 0.919113852f, 0.393992040f,
+ 0.914209756f, 0.405241314f,
+ 0.909167983f, 0.416429560f,
+ 0.903989293f, 0.427555093f,
+ 0.898674466f, 0.438616239f,
+ 0.893224301f, 0.449611330f,
+ 0.887639620f, 0.460538711f,
+ 0.881921264f, 0.471396737f,
+ 0.876070094f, 0.482183772f,
+ 0.870086991f, 0.492898192f,
+ 0.863972856f, 0.503538384f,
+ 0.857728610f, 0.514102744f,
+ 0.851355193f, 0.524589683f,
+ 0.844853565f, 0.534997620f,
+ 0.838224706f, 0.545324988f,
+ 0.831469612f, 0.555570233f,
+ 0.824589303f, 0.565731811f,
+ 0.817584813f, 0.575808191f,
+ 0.810457198f, 0.585797857f,
+ 0.803207531f, 0.595699304f,
+ 0.795836905f, 0.605511041f,
+ 0.788346428f, 0.615231591f,
+ 0.780737229f, 0.624859488f,
+ 0.773010453f, 0.634393284f,
+ 0.765167266f, 0.643831543f,
+ 0.757208847f, 0.653172843f,
+ 0.749136395f, 0.662415778f,
+ 0.740951125f, 0.671558955f,
+ 0.732654272f, 0.680600998f,
+ 0.724247083f, 0.689540545f,
+ 0.715730825f, 0.698376249f,
+ 0.707106781f, 0.707106781f,
+ 0.698376249f, 0.715730825f,
+ 0.689540545f, 0.724247083f,
+ 0.680600998f, 0.732654272f,
+ 0.671558955f, 0.740951125f,
+ 0.662415778f, 0.749136395f,
+ 0.653172843f, 0.757208847f,
+ 0.643831543f, 0.765167266f,
+ 0.634393284f, 0.773010453f,
+ 0.624859488f, 0.780737229f,
+ 0.615231591f, 0.788346428f,
+ 0.605511041f, 0.795836905f,
+ 0.595699304f, 0.803207531f,
+ 0.585797857f, 0.810457198f,
+ 0.575808191f, 0.817584813f,
+ 0.565731811f, 0.824589303f,
+ 0.555570233f, 0.831469612f,
+ 0.545324988f, 0.838224706f,
+ 0.534997620f, 0.844853565f,
+ 0.524589683f, 0.851355193f,
+ 0.514102744f, 0.857728610f,
+ 0.503538384f, 0.863972856f,
+ 0.492898192f, 0.870086991f,
+ 0.482183772f, 0.876070094f,
+ 0.471396737f, 0.881921264f,
+ 0.460538711f, 0.887639620f,
+ 0.449611330f, 0.893224301f,
+ 0.438616239f, 0.898674466f,
+ 0.427555093f, 0.903989293f,
+ 0.416429560f, 0.909167983f,
+ 0.405241314f, 0.914209756f,
+ 0.393992040f, 0.919113852f,
+ 0.382683432f, 0.923879533f,
+ 0.371317194f, 0.928506080f,
+ 0.359895037f, 0.932992799f,
+ 0.348418680f, 0.937339012f,
+ 0.336889853f, 0.941544065f,
+ 0.325310292f, 0.945607325f,
+ 0.313681740f, 0.949528181f,
+ 0.302005949f, 0.953306040f,
+ 0.290284677f, 0.956940336f,
+ 0.278519689f, 0.960430519f,
+ 0.266712757f, 0.963776066f,
+ 0.254865660f, 0.966976471f,
+ 0.242980180f, 0.970031253f,
+ 0.231058108f, 0.972939952f,
+ 0.219101240f, 0.975702130f,
+ 0.207111376f, 0.978317371f,
+ 0.195090322f, 0.980785280f,
+ 0.183039888f, 0.983105487f,
+ 0.170961889f, 0.985277642f,
+ 0.158858143f, 0.987301418f,
+ 0.146730474f, 0.989176510f,
+ 0.134580709f, 0.990902635f,
+ 0.122410675f, 0.992479535f,
+ 0.110222207f, 0.993906970f,
+ 0.098017140f, 0.995184727f,
+ 0.085797312f, 0.996312612f,
+ 0.073564564f, 0.997290457f,
+ 0.061320736f, 0.998118113f,
+ 0.049067674f, 0.998795456f,
+ 0.036807223f, 0.999322385f,
+ 0.024541229f, 0.999698819f,
+ 0.012271538f, 0.999924702f,
+ 0.000000000f, 1.000000000f,
+ -0.012271538f, 0.999924702f,
+ -0.024541229f, 0.999698819f,
+ -0.036807223f, 0.999322385f,
+ -0.049067674f, 0.998795456f,
+ -0.061320736f, 0.998118113f,
+ -0.073564564f, 0.997290457f,
+ -0.085797312f, 0.996312612f,
+ -0.098017140f, 0.995184727f,
+ -0.110222207f, 0.993906970f,
+ -0.122410675f, 0.992479535f,
+ -0.134580709f, 0.990902635f,
+ -0.146730474f, 0.989176510f,
+ -0.158858143f, 0.987301418f,
+ -0.170961889f, 0.985277642f,
+ -0.183039888f, 0.983105487f,
+ -0.195090322f, 0.980785280f,
+ -0.207111376f, 0.978317371f,
+ -0.219101240f, 0.975702130f,
+ -0.231058108f, 0.972939952f,
+ -0.242980180f, 0.970031253f,
+ -0.254865660f, 0.966976471f,
+ -0.266712757f, 0.963776066f,
+ -0.278519689f, 0.960430519f,
+ -0.290284677f, 0.956940336f,
+ -0.302005949f, 0.953306040f,
+ -0.313681740f, 0.949528181f,
+ -0.325310292f, 0.945607325f,
+ -0.336889853f, 0.941544065f,
+ -0.348418680f, 0.937339012f,
+ -0.359895037f, 0.932992799f,
+ -0.371317194f, 0.928506080f,
+ -0.382683432f, 0.923879533f,
+ -0.393992040f, 0.919113852f,
+ -0.405241314f, 0.914209756f,
+ -0.416429560f, 0.909167983f,
+ -0.427555093f, 0.903989293f,
+ -0.438616239f, 0.898674466f,
+ -0.449611330f, 0.893224301f,
+ -0.460538711f, 0.887639620f,
+ -0.471396737f, 0.881921264f,
+ -0.482183772f, 0.876070094f,
+ -0.492898192f, 0.870086991f,
+ -0.503538384f, 0.863972856f,
+ -0.514102744f, 0.857728610f,
+ -0.524589683f, 0.851355193f,
+ -0.534997620f, 0.844853565f,
+ -0.545324988f, 0.838224706f,
+ -0.555570233f, 0.831469612f,
+ -0.565731811f, 0.824589303f,
+ -0.575808191f, 0.817584813f,
+ -0.585797857f, 0.810457198f,
+ -0.595699304f, 0.803207531f,
+ -0.605511041f, 0.795836905f,
+ -0.615231591f, 0.788346428f,
+ -0.624859488f, 0.780737229f,
+ -0.634393284f, 0.773010453f,
+ -0.643831543f, 0.765167266f,
+ -0.653172843f, 0.757208847f,
+ -0.662415778f, 0.749136395f,
+ -0.671558955f, 0.740951125f,
+ -0.680600998f, 0.732654272f,
+ -0.689540545f, 0.724247083f,
+ -0.698376249f, 0.715730825f,
+ -0.707106781f, 0.707106781f,
+ -0.715730825f, 0.698376249f,
+ -0.724247083f, 0.689540545f,
+ -0.732654272f, 0.680600998f,
+ -0.740951125f, 0.671558955f,
+ -0.749136395f, 0.662415778f,
+ -0.757208847f, 0.653172843f,
+ -0.765167266f, 0.643831543f,
+ -0.773010453f, 0.634393284f,
+ -0.780737229f, 0.624859488f,
+ -0.788346428f, 0.615231591f,
+ -0.795836905f, 0.605511041f,
+ -0.803207531f, 0.595699304f,
+ -0.810457198f, 0.585797857f,
+ -0.817584813f, 0.575808191f,
+ -0.824589303f, 0.565731811f,
+ -0.831469612f, 0.555570233f,
+ -0.838224706f, 0.545324988f,
+ -0.844853565f, 0.534997620f,
+ -0.851355193f, 0.524589683f,
+ -0.857728610f, 0.514102744f,
+ -0.863972856f, 0.503538384f,
+ -0.870086991f, 0.492898192f,
+ -0.876070094f, 0.482183772f,
+ -0.881921264f, 0.471396737f,
+ -0.887639620f, 0.460538711f,
+ -0.893224301f, 0.449611330f,
+ -0.898674466f, 0.438616239f,
+ -0.903989293f, 0.427555093f,
+ -0.909167983f, 0.416429560f,
+ -0.914209756f, 0.405241314f,
+ -0.919113852f, 0.393992040f,
+ -0.923879533f, 0.382683432f,
+ -0.928506080f, 0.371317194f,
+ -0.932992799f, 0.359895037f,
+ -0.937339012f, 0.348418680f,
+ -0.941544065f, 0.336889853f,
+ -0.945607325f, 0.325310292f,
+ -0.949528181f, 0.313681740f,
+ -0.953306040f, 0.302005949f,
+ -0.956940336f, 0.290284677f,
+ -0.960430519f, 0.278519689f,
+ -0.963776066f, 0.266712757f,
+ -0.966976471f, 0.254865660f,
+ -0.970031253f, 0.242980180f,
+ -0.972939952f, 0.231058108f,
+ -0.975702130f, 0.219101240f,
+ -0.978317371f, 0.207111376f,
+ -0.980785280f, 0.195090322f,
+ -0.983105487f, 0.183039888f,
+ -0.985277642f, 0.170961889f,
+ -0.987301418f, 0.158858143f,
+ -0.989176510f, 0.146730474f,
+ -0.990902635f, 0.134580709f,
+ -0.992479535f, 0.122410675f,
+ -0.993906970f, 0.110222207f,
+ -0.995184727f, 0.098017140f,
+ -0.996312612f, 0.085797312f,
+ -0.997290457f, 0.073564564f,
+ -0.998118113f, 0.061320736f,
+ -0.998795456f, 0.049067674f,
+ -0.999322385f, 0.036807223f,
+ -0.999698819f, 0.024541229f,
+ -0.999924702f, 0.012271538f,
+ -1.000000000f, 0.000000000f,
+ -0.999924702f, -0.012271538f,
+ -0.999698819f, -0.024541229f,
+ -0.999322385f, -0.036807223f,
+ -0.998795456f, -0.049067674f,
+ -0.998118113f, -0.061320736f,
+ -0.997290457f, -0.073564564f,
+ -0.996312612f, -0.085797312f,
+ -0.995184727f, -0.098017140f,
+ -0.993906970f, -0.110222207f,
+ -0.992479535f, -0.122410675f,
+ -0.990902635f, -0.134580709f,
+ -0.989176510f, -0.146730474f,
+ -0.987301418f, -0.158858143f,
+ -0.985277642f, -0.170961889f,
+ -0.983105487f, -0.183039888f,
+ -0.980785280f, -0.195090322f,
+ -0.978317371f, -0.207111376f,
+ -0.975702130f, -0.219101240f,
+ -0.972939952f, -0.231058108f,
+ -0.970031253f, -0.242980180f,
+ -0.966976471f, -0.254865660f,
+ -0.963776066f, -0.266712757f,
+ -0.960430519f, -0.278519689f,
+ -0.956940336f, -0.290284677f,
+ -0.953306040f, -0.302005949f,
+ -0.949528181f, -0.313681740f,
+ -0.945607325f, -0.325310292f,
+ -0.941544065f, -0.336889853f,
+ -0.937339012f, -0.348418680f,
+ -0.932992799f, -0.359895037f,
+ -0.928506080f, -0.371317194f,
+ -0.923879533f, -0.382683432f,
+ -0.919113852f, -0.393992040f,
+ -0.914209756f, -0.405241314f,
+ -0.909167983f, -0.416429560f,
+ -0.903989293f, -0.427555093f,
+ -0.898674466f, -0.438616239f,
+ -0.893224301f, -0.449611330f,
+ -0.887639620f, -0.460538711f,
+ -0.881921264f, -0.471396737f,
+ -0.876070094f, -0.482183772f,
+ -0.870086991f, -0.492898192f,
+ -0.863972856f, -0.503538384f,
+ -0.857728610f, -0.514102744f,
+ -0.851355193f, -0.524589683f,
+ -0.844853565f, -0.534997620f,
+ -0.838224706f, -0.545324988f,
+ -0.831469612f, -0.555570233f,
+ -0.824589303f, -0.565731811f,
+ -0.817584813f, -0.575808191f,
+ -0.810457198f, -0.585797857f,
+ -0.803207531f, -0.595699304f,
+ -0.795836905f, -0.605511041f,
+ -0.788346428f, -0.615231591f,
+ -0.780737229f, -0.624859488f,
+ -0.773010453f, -0.634393284f,
+ -0.765167266f, -0.643831543f,
+ -0.757208847f, -0.653172843f,
+ -0.749136395f, -0.662415778f,
+ -0.740951125f, -0.671558955f,
+ -0.732654272f, -0.680600998f,
+ -0.724247083f, -0.689540545f,
+ -0.715730825f, -0.698376249f,
+ -0.707106781f, -0.707106781f,
+ -0.698376249f, -0.715730825f,
+ -0.689540545f, -0.724247083f,
+ -0.680600998f, -0.732654272f,
+ -0.671558955f, -0.740951125f,
+ -0.662415778f, -0.749136395f,
+ -0.653172843f, -0.757208847f,
+ -0.643831543f, -0.765167266f,
+ -0.634393284f, -0.773010453f,
+ -0.624859488f, -0.780737229f,
+ -0.615231591f, -0.788346428f,
+ -0.605511041f, -0.795836905f,
+ -0.595699304f, -0.803207531f,
+ -0.585797857f, -0.810457198f,
+ -0.575808191f, -0.817584813f,
+ -0.565731811f, -0.824589303f,
+ -0.555570233f, -0.831469612f,
+ -0.545324988f, -0.838224706f,
+ -0.534997620f, -0.844853565f,
+ -0.524589683f, -0.851355193f,
+ -0.514102744f, -0.857728610f,
+ -0.503538384f, -0.863972856f,
+ -0.492898192f, -0.870086991f,
+ -0.482183772f, -0.876070094f,
+ -0.471396737f, -0.881921264f,
+ -0.460538711f, -0.887639620f,
+ -0.449611330f, -0.893224301f,
+ -0.438616239f, -0.898674466f,
+ -0.427555093f, -0.903989293f,
+ -0.416429560f, -0.909167983f,
+ -0.405241314f, -0.914209756f,
+ -0.393992040f, -0.919113852f,
+ -0.382683432f, -0.923879533f,
+ -0.371317194f, -0.928506080f,
+ -0.359895037f, -0.932992799f,
+ -0.348418680f, -0.937339012f,
+ -0.336889853f, -0.941544065f,
+ -0.325310292f, -0.945607325f,
+ -0.313681740f, -0.949528181f,
+ -0.302005949f, -0.953306040f,
+ -0.290284677f, -0.956940336f,
+ -0.278519689f, -0.960430519f,
+ -0.266712757f, -0.963776066f,
+ -0.254865660f, -0.966976471f,
+ -0.242980180f, -0.970031253f,
+ -0.231058108f, -0.972939952f,
+ -0.219101240f, -0.975702130f,
+ -0.207111376f, -0.978317371f,
+ -0.195090322f, -0.980785280f,
+ -0.183039888f, -0.983105487f,
+ -0.170961889f, -0.985277642f,
+ -0.158858143f, -0.987301418f,
+ -0.146730474f, -0.989176510f,
+ -0.134580709f, -0.990902635f,
+ -0.122410675f, -0.992479535f,
+ -0.110222207f, -0.993906970f,
+ -0.098017140f, -0.995184727f,
+ -0.085797312f, -0.996312612f,
+ -0.073564564f, -0.997290457f,
+ -0.061320736f, -0.998118113f,
+ -0.049067674f, -0.998795456f,
+ -0.036807223f, -0.999322385f,
+ -0.024541229f, -0.999698819f,
+ -0.012271538f, -0.999924702f,
+ -0.000000000f, -1.000000000f,
+ 0.012271538f, -0.999924702f,
+ 0.024541229f, -0.999698819f,
+ 0.036807223f, -0.999322385f,
+ 0.049067674f, -0.998795456f,
+ 0.061320736f, -0.998118113f,
+ 0.073564564f, -0.997290457f,
+ 0.085797312f, -0.996312612f,
+ 0.098017140f, -0.995184727f,
+ 0.110222207f, -0.993906970f,
+ 0.122410675f, -0.992479535f,
+ 0.134580709f, -0.990902635f,
+ 0.146730474f, -0.989176510f,
+ 0.158858143f, -0.987301418f,
+ 0.170961889f, -0.985277642f,
+ 0.183039888f, -0.983105487f,
+ 0.195090322f, -0.980785280f,
+ 0.207111376f, -0.978317371f,
+ 0.219101240f, -0.975702130f,
+ 0.231058108f, -0.972939952f,
+ 0.242980180f, -0.970031253f,
+ 0.254865660f, -0.966976471f,
+ 0.266712757f, -0.963776066f,
+ 0.278519689f, -0.960430519f,
+ 0.290284677f, -0.956940336f,
+ 0.302005949f, -0.953306040f,
+ 0.313681740f, -0.949528181f,
+ 0.325310292f, -0.945607325f,
+ 0.336889853f, -0.941544065f,
+ 0.348418680f, -0.937339012f,
+ 0.359895037f, -0.932992799f,
+ 0.371317194f, -0.928506080f,
+ 0.382683432f, -0.923879533f,
+ 0.393992040f, -0.919113852f,
+ 0.405241314f, -0.914209756f,
+ 0.416429560f, -0.909167983f,
+ 0.427555093f, -0.903989293f,
+ 0.438616239f, -0.898674466f,
+ 0.449611330f, -0.893224301f,
+ 0.460538711f, -0.887639620f,
+ 0.471396737f, -0.881921264f,
+ 0.482183772f, -0.876070094f,
+ 0.492898192f, -0.870086991f,
+ 0.503538384f, -0.863972856f,
+ 0.514102744f, -0.857728610f,
+ 0.524589683f, -0.851355193f,
+ 0.534997620f, -0.844853565f,
+ 0.545324988f, -0.838224706f,
+ 0.555570233f, -0.831469612f,
+ 0.565731811f, -0.824589303f,
+ 0.575808191f, -0.817584813f,
+ 0.585797857f, -0.810457198f,
+ 0.595699304f, -0.803207531f,
+ 0.605511041f, -0.795836905f,
+ 0.615231591f, -0.788346428f,
+ 0.624859488f, -0.780737229f,
+ 0.634393284f, -0.773010453f,
+ 0.643831543f, -0.765167266f,
+ 0.653172843f, -0.757208847f,
+ 0.662415778f, -0.749136395f,
+ 0.671558955f, -0.740951125f,
+ 0.680600998f, -0.732654272f,
+ 0.689540545f, -0.724247083f,
+ 0.698376249f, -0.715730825f,
+ 0.707106781f, -0.707106781f,
+ 0.715730825f, -0.698376249f,
+ 0.724247083f, -0.689540545f,
+ 0.732654272f, -0.680600998f,
+ 0.740951125f, -0.671558955f,
+ 0.749136395f, -0.662415778f,
+ 0.757208847f, -0.653172843f,
+ 0.765167266f, -0.643831543f,
+ 0.773010453f, -0.634393284f,
+ 0.780737229f, -0.624859488f,
+ 0.788346428f, -0.615231591f,
+ 0.795836905f, -0.605511041f,
+ 0.803207531f, -0.595699304f,
+ 0.810457198f, -0.585797857f,
+ 0.817584813f, -0.575808191f,
+ 0.824589303f, -0.565731811f,
+ 0.831469612f, -0.555570233f,
+ 0.838224706f, -0.545324988f,
+ 0.844853565f, -0.534997620f,
+ 0.851355193f, -0.524589683f,
+ 0.857728610f, -0.514102744f,
+ 0.863972856f, -0.503538384f,
+ 0.870086991f, -0.492898192f,
+ 0.876070094f, -0.482183772f,
+ 0.881921264f, -0.471396737f,
+ 0.887639620f, -0.460538711f,
+ 0.893224301f, -0.449611330f,
+ 0.898674466f, -0.438616239f,
+ 0.903989293f, -0.427555093f,
+ 0.909167983f, -0.416429560f,
+ 0.914209756f, -0.405241314f,
+ 0.919113852f, -0.393992040f,
+ 0.923879533f, -0.382683432f,
+ 0.928506080f, -0.371317194f,
+ 0.932992799f, -0.359895037f,
+ 0.937339012f, -0.348418680f,
+ 0.941544065f, -0.336889853f,
+ 0.945607325f, -0.325310292f,
+ 0.949528181f, -0.313681740f,
+ 0.953306040f, -0.302005949f,
+ 0.956940336f, -0.290284677f,
+ 0.960430519f, -0.278519689f,
+ 0.963776066f, -0.266712757f,
+ 0.966976471f, -0.254865660f,
+ 0.970031253f, -0.242980180f,
+ 0.972939952f, -0.231058108f,
+ 0.975702130f, -0.219101240f,
+ 0.978317371f, -0.207111376f,
+ 0.980785280f, -0.195090322f,
+ 0.983105487f, -0.183039888f,
+ 0.985277642f, -0.170961889f,
+ 0.987301418f, -0.158858143f,
+ 0.989176510f, -0.146730474f,
+ 0.990902635f, -0.134580709f,
+ 0.992479535f, -0.122410675f,
+ 0.993906970f, -0.110222207f,
+ 0.995184727f, -0.098017140f,
+ 0.996312612f, -0.085797312f,
+ 0.997290457f, -0.073564564f,
+ 0.998118113f, -0.061320736f,
+ 0.998795456f, -0.049067674f,
+ 0.999322385f, -0.036807223f,
+ 0.999698819f, -0.024541229f,
+ 0.999924702f, -0.012271538f
+};
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* <pre>for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 1024 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float32_t twiddleCoef_1024[2048] = {
+1.000000000f , 0.000000000f ,
+0.999981175f , 0.006135885f ,
+0.999924702f , 0.012271538f ,
+0.999830582f , 0.018406730f ,
+0.999698819f , 0.024541229f ,
+0.999529418f , 0.030674803f ,
+0.999322385f , 0.036807223f ,
+0.999077728f , 0.042938257f ,
+0.998795456f , 0.049067674f ,
+0.998475581f , 0.055195244f ,
+0.998118113f , 0.061320736f ,
+0.997723067f , 0.067443920f ,
+0.997290457f , 0.073564564f ,
+0.996820299f , 0.079682438f ,
+0.996312612f , 0.085797312f ,
+0.995767414f , 0.091908956f ,
+0.995184727f , 0.098017140f ,
+0.994564571f , 0.104121634f ,
+0.993906970f , 0.110222207f ,
+0.993211949f , 0.116318631f ,
+0.992479535f , 0.122410675f ,
+0.991709754f , 0.128498111f ,
+0.990902635f , 0.134580709f ,
+0.990058210f , 0.140658239f ,
+0.989176510f , 0.146730474f ,
+0.988257568f , 0.152797185f ,
+0.987301418f , 0.158858143f ,
+0.986308097f , 0.164913120f ,
+0.985277642f , 0.170961889f ,
+0.984210092f , 0.177004220f ,
+0.983105487f , 0.183039888f ,
+0.981963869f , 0.189068664f ,
+0.980785280f , 0.195090322f ,
+0.979569766f , 0.201104635f ,
+0.978317371f , 0.207111376f ,
+0.977028143f , 0.213110320f ,
+0.975702130f , 0.219101240f ,
+0.974339383f , 0.225083911f ,
+0.972939952f , 0.231058108f ,
+0.971503891f , 0.237023606f ,
+0.970031253f , 0.242980180f ,
+0.968522094f , 0.248927606f ,
+0.966976471f , 0.254865660f ,
+0.965394442f , 0.260794118f ,
+0.963776066f , 0.266712757f ,
+0.962121404f , 0.272621355f ,
+0.960430519f , 0.278519689f ,
+0.958703475f , 0.284407537f ,
+0.956940336f , 0.290284677f ,
+0.955141168f , 0.296150888f ,
+0.953306040f , 0.302005949f ,
+0.951435021f , 0.307849640f ,
+0.949528181f , 0.313681740f ,
+0.947585591f , 0.319502031f ,
+0.945607325f , 0.325310292f ,
+0.943593458f , 0.331106306f ,
+0.941544065f , 0.336889853f ,
+0.939459224f , 0.342660717f ,
+0.937339012f , 0.348418680f ,
+0.935183510f , 0.354163525f ,
+0.932992799f , 0.359895037f ,
+0.930766961f , 0.365612998f ,
+0.928506080f , 0.371317194f ,
+0.926210242f , 0.377007410f ,
+0.923879533f , 0.382683432f ,
+0.921514039f , 0.388345047f ,
+0.919113852f , 0.393992040f ,
+0.916679060f , 0.399624200f ,
+0.914209756f , 0.405241314f ,
+0.911706032f , 0.410843171f ,
+0.909167983f , 0.416429560f ,
+0.906595705f , 0.422000271f ,
+0.903989293f , 0.427555093f ,
+0.901348847f , 0.433093819f ,
+0.898674466f , 0.438616239f ,
+0.895966250f , 0.444122145f ,
+0.893224301f , 0.449611330f ,
+0.890448723f , 0.455083587f ,
+0.887639620f , 0.460538711f ,
+0.884797098f , 0.465976496f ,
+0.881921264f , 0.471396737f ,
+0.879012226f , 0.476799230f ,
+0.876070094f , 0.482183772f ,
+0.873094978f , 0.487550160f ,
+0.870086991f , 0.492898192f ,
+0.867046246f , 0.498227667f ,
+0.863972856f , 0.503538384f ,
+0.860866939f , 0.508830143f ,
+0.857728610f , 0.514102744f ,
+0.854557988f , 0.519355990f ,
+0.851355193f , 0.524589683f ,
+0.848120345f , 0.529803625f ,
+0.844853565f , 0.534997620f ,
+0.841554977f , 0.540171473f ,
+0.838224706f , 0.545324988f ,
+0.834862875f , 0.550457973f ,
+0.831469612f , 0.555570233f ,
+0.828045045f , 0.560661576f ,
+0.824589303f , 0.565731811f ,
+0.821102515f , 0.570780746f ,
+0.817584813f , 0.575808191f ,
+0.814036330f , 0.580813958f ,
+0.810457198f , 0.585797857f ,
+0.806847554f , 0.590759702f ,
+0.803207531f , 0.595699304f ,
+0.799537269f , 0.600616479f ,
+0.795836905f , 0.605511041f ,
+0.792106577f , 0.610382806f ,
+0.788346428f , 0.615231591f ,
+0.784556597f , 0.620057212f ,
+0.780737229f , 0.624859488f ,
+0.776888466f , 0.629638239f ,
+0.773010453f , 0.634393284f ,
+0.769103338f , 0.639124445f ,
+0.765167266f , 0.643831543f ,
+0.761202385f , 0.648514401f ,
+0.757208847f , 0.653172843f ,
+0.753186799f , 0.657806693f ,
+0.749136395f , 0.662415778f ,
+0.745057785f , 0.666999922f ,
+0.740951125f , 0.671558955f ,
+0.736816569f , 0.676092704f ,
+0.732654272f , 0.680600998f ,
+0.728464390f , 0.685083668f ,
+0.724247083f , 0.689540545f ,
+0.720002508f , 0.693971461f ,
+0.715730825f , 0.698376249f ,
+0.711432196f , 0.702754744f ,
+0.707106781f , 0.707106781f ,
+0.702754744f , 0.711432196f ,
+0.698376249f , 0.715730825f ,
+0.693971461f , 0.720002508f ,
+0.689540545f , 0.724247083f ,
+0.685083668f , 0.728464390f ,
+0.680600998f , 0.732654272f ,
+0.676092704f , 0.736816569f ,
+0.671558955f , 0.740951125f ,
+0.666999922f , 0.745057785f ,
+0.662415778f , 0.749136395f ,
+0.657806693f , 0.753186799f ,
+0.653172843f , 0.757208847f ,
+0.648514401f , 0.761202385f ,
+0.643831543f , 0.765167266f ,
+0.639124445f , 0.769103338f ,
+0.634393284f , 0.773010453f ,
+0.629638239f , 0.776888466f ,
+0.624859488f , 0.780737229f ,
+0.620057212f , 0.784556597f ,
+0.615231591f , 0.788346428f ,
+0.610382806f , 0.792106577f ,
+0.605511041f , 0.795836905f ,
+0.600616479f , 0.799537269f ,
+0.595699304f , 0.803207531f ,
+0.590759702f , 0.806847554f ,
+0.585797857f , 0.810457198f ,
+0.580813958f , 0.814036330f ,
+0.575808191f , 0.817584813f ,
+0.570780746f , 0.821102515f ,
+0.565731811f , 0.824589303f ,
+0.560661576f , 0.828045045f ,
+0.555570233f , 0.831469612f ,
+0.550457973f , 0.834862875f ,
+0.545324988f , 0.838224706f ,
+0.540171473f , 0.841554977f ,
+0.534997620f , 0.844853565f ,
+0.529803625f , 0.848120345f ,
+0.524589683f , 0.851355193f ,
+0.519355990f , 0.854557988f ,
+0.514102744f , 0.857728610f ,
+0.508830143f , 0.860866939f ,
+0.503538384f , 0.863972856f ,
+0.498227667f , 0.867046246f ,
+0.492898192f , 0.870086991f ,
+0.487550160f , 0.873094978f ,
+0.482183772f , 0.876070094f ,
+0.476799230f , 0.879012226f ,
+0.471396737f , 0.881921264f ,
+0.465976496f , 0.884797098f ,
+0.460538711f , 0.887639620f ,
+0.455083587f , 0.890448723f ,
+0.449611330f , 0.893224301f ,
+0.444122145f , 0.895966250f ,
+0.438616239f , 0.898674466f ,
+0.433093819f , 0.901348847f ,
+0.427555093f , 0.903989293f ,
+0.422000271f , 0.906595705f ,
+0.416429560f , 0.909167983f ,
+0.410843171f , 0.911706032f ,
+0.405241314f , 0.914209756f ,
+0.399624200f , 0.916679060f ,
+0.393992040f , 0.919113852f ,
+0.388345047f , 0.921514039f ,
+0.382683432f , 0.923879533f ,
+0.377007410f , 0.926210242f ,
+0.371317194f , 0.928506080f ,
+0.365612998f , 0.930766961f ,
+0.359895037f , 0.932992799f ,
+0.354163525f , 0.935183510f ,
+0.348418680f , 0.937339012f ,
+0.342660717f , 0.939459224f ,
+0.336889853f , 0.941544065f ,
+0.331106306f , 0.943593458f ,
+0.325310292f , 0.945607325f ,
+0.319502031f , 0.947585591f ,
+0.313681740f , 0.949528181f ,
+0.307849640f , 0.951435021f ,
+0.302005949f , 0.953306040f ,
+0.296150888f , 0.955141168f ,
+0.290284677f , 0.956940336f ,
+0.284407537f , 0.958703475f ,
+0.278519689f , 0.960430519f ,
+0.272621355f , 0.962121404f ,
+0.266712757f , 0.963776066f ,
+0.260794118f , 0.965394442f ,
+0.254865660f , 0.966976471f ,
+0.248927606f , 0.968522094f ,
+0.242980180f , 0.970031253f ,
+0.237023606f , 0.971503891f ,
+0.231058108f , 0.972939952f ,
+0.225083911f , 0.974339383f ,
+0.219101240f , 0.975702130f ,
+0.213110320f , 0.977028143f ,
+0.207111376f , 0.978317371f ,
+0.201104635f , 0.979569766f ,
+0.195090322f , 0.980785280f ,
+0.189068664f , 0.981963869f ,
+0.183039888f , 0.983105487f ,
+0.177004220f , 0.984210092f ,
+0.170961889f , 0.985277642f ,
+0.164913120f , 0.986308097f ,
+0.158858143f , 0.987301418f ,
+0.152797185f , 0.988257568f ,
+0.146730474f , 0.989176510f ,
+0.140658239f , 0.990058210f ,
+0.134580709f , 0.990902635f ,
+0.128498111f , 0.991709754f ,
+0.122410675f , 0.992479535f ,
+0.116318631f , 0.993211949f ,
+0.110222207f , 0.993906970f ,
+0.104121634f , 0.994564571f ,
+0.098017140f , 0.995184727f ,
+0.091908956f , 0.995767414f ,
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+0.970031253f , -0.242980180f ,
+0.971503891f , -0.237023606f ,
+0.972939952f , -0.231058108f ,
+0.974339383f , -0.225083911f ,
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+0.977028143f , -0.213110320f ,
+0.978317371f , -0.207111376f ,
+0.979569766f , -0.201104635f ,
+0.980785280f , -0.195090322f ,
+0.981963869f , -0.189068664f ,
+0.983105487f , -0.183039888f ,
+0.984210092f , -0.177004220f ,
+0.985277642f , -0.170961889f ,
+0.986308097f , -0.164913120f ,
+0.987301418f , -0.158858143f ,
+0.988257568f , -0.152797185f ,
+0.989176510f , -0.146730474f ,
+0.990058210f , -0.140658239f ,
+0.990902635f , -0.134580709f ,
+0.991709754f , -0.128498111f ,
+0.992479535f , -0.122410675f ,
+0.993211949f , -0.116318631f ,
+0.993906970f , -0.110222207f ,
+0.994564571f , -0.104121634f ,
+0.995184727f , -0.098017140f ,
+0.995767414f , -0.091908956f ,
+0.996312612f , -0.085797312f ,
+0.996820299f , -0.079682438f ,
+0.997290457f , -0.073564564f ,
+0.997723067f , -0.067443920f ,
+0.998118113f , -0.061320736f ,
+0.998475581f , -0.055195244f ,
+0.998795456f , -0.049067674f ,
+0.999077728f , -0.042938257f ,
+0.999322385f , -0.036807223f ,
+0.999529418f , -0.030674803f ,
+0.999698819f , -0.024541229f ,
+0.999830582f , -0.018406730f ,
+0.999924702f , -0.012271538f ,
+0.999981175f , -0.006135885f
+};
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* <pre>for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 2048 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float32_t twiddleCoef_2048[4096] = {
+ 1.000000000f, 0.000000000f,
+ 0.999995294f, 0.003067957f,
+ 0.999981175f, 0.006135885f,
+ 0.999957645f, 0.009203755f,
+ 0.999924702f, 0.012271538f,
+ 0.999882347f, 0.015339206f,
+ 0.999830582f, 0.018406730f,
+ 0.999769405f, 0.021474080f,
+ 0.999698819f, 0.024541229f,
+ 0.999618822f, 0.027608146f,
+ 0.999529418f, 0.030674803f,
+ 0.999430605f, 0.033741172f,
+ 0.999322385f, 0.036807223f,
+ 0.999204759f, 0.039872928f,
+ 0.999077728f, 0.042938257f,
+ 0.998941293f, 0.046003182f,
+ 0.998795456f, 0.049067674f,
+ 0.998640218f, 0.052131705f,
+ 0.998475581f, 0.055195244f,
+ 0.998301545f, 0.058258265f,
+ 0.998118113f, 0.061320736f,
+ 0.997925286f, 0.064382631f,
+ 0.997723067f, 0.067443920f,
+ 0.997511456f, 0.070504573f,
+ 0.997290457f, 0.073564564f,
+ 0.997060070f, 0.076623861f,
+ 0.996820299f, 0.079682438f,
+ 0.996571146f, 0.082740265f,
+ 0.996312612f, 0.085797312f,
+ 0.996044701f, 0.088853553f,
+ 0.995767414f, 0.091908956f,
+ 0.995480755f, 0.094963495f,
+ 0.995184727f, 0.098017140f,
+ 0.994879331f, 0.101069863f,
+ 0.994564571f, 0.104121634f,
+ 0.994240449f, 0.107172425f,
+ 0.993906970f, 0.110222207f,
+ 0.993564136f, 0.113270952f,
+ 0.993211949f, 0.116318631f,
+ 0.992850414f, 0.119365215f,
+ 0.992479535f, 0.122410675f,
+ 0.992099313f, 0.125454983f,
+ 0.991709754f, 0.128498111f,
+ 0.991310860f, 0.131540029f,
+ 0.990902635f, 0.134580709f,
+ 0.990485084f, 0.137620122f,
+ 0.990058210f, 0.140658239f,
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+ 0.981963869f, -0.189068664f,
+ 0.982539302f, -0.186055152f,
+ 0.983105487f, -0.183039888f,
+ 0.983662419f, -0.180022901f,
+ 0.984210092f, -0.177004220f,
+ 0.984748502f, -0.173983873f,
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+ 0.986809402f, -0.161886394f,
+ 0.987301418f, -0.158858143f,
+ 0.987784142f, -0.155828398f,
+ 0.988257568f, -0.152797185f,
+ 0.988721692f, -0.149764535f,
+ 0.989176510f, -0.146730474f,
+ 0.989622017f, -0.143695033f,
+ 0.990058210f, -0.140658239f,
+ 0.990485084f, -0.137620122f,
+ 0.990902635f, -0.134580709f,
+ 0.991310860f, -0.131540029f,
+ 0.991709754f, -0.128498111f,
+ 0.992099313f, -0.125454983f,
+ 0.992479535f, -0.122410675f,
+ 0.992850414f, -0.119365215f,
+ 0.993211949f, -0.116318631f,
+ 0.993564136f, -0.113270952f,
+ 0.993906970f, -0.110222207f,
+ 0.994240449f, -0.107172425f,
+ 0.994564571f, -0.104121634f,
+ 0.994879331f, -0.101069863f,
+ 0.995184727f, -0.098017140f,
+ 0.995480755f, -0.094963495f,
+ 0.995767414f, -0.091908956f,
+ 0.996044701f, -0.088853553f,
+ 0.996312612f, -0.085797312f,
+ 0.996571146f, -0.082740265f,
+ 0.996820299f, -0.079682438f,
+ 0.997060070f, -0.076623861f,
+ 0.997290457f, -0.073564564f,
+ 0.997511456f, -0.070504573f,
+ 0.997723067f, -0.067443920f,
+ 0.997925286f, -0.064382631f,
+ 0.998118113f, -0.061320736f,
+ 0.998301545f, -0.058258265f,
+ 0.998475581f, -0.055195244f,
+ 0.998640218f, -0.052131705f,
+ 0.998795456f, -0.049067674f,
+ 0.998941293f, -0.046003182f,
+ 0.999077728f, -0.042938257f,
+ 0.999204759f, -0.039872928f,
+ 0.999322385f, -0.036807223f,
+ 0.999430605f, -0.033741172f,
+ 0.999529418f, -0.030674803f,
+ 0.999618822f, -0.027608146f,
+ 0.999698819f, -0.024541229f,
+ 0.999769405f, -0.021474080f,
+ 0.999830582f, -0.018406730f,
+ 0.999882347f, -0.015339206f,
+ 0.999924702f, -0.012271538f,
+ 0.999957645f, -0.009203755f,
+ 0.999981175f, -0.006135885f,
+ 0.999995294f, -0.003067957f
+};
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* <pre>for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 4096 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float32_t twiddleCoef_4096[8192] = {
+ 1.000000000f, 0.000000000f,
+ 0.999998823f, 0.001533980f,
+ 0.999995294f, 0.003067957f,
+ 0.999989411f, 0.004601926f,
+ 0.999981175f, 0.006135885f,
+ 0.999970586f, 0.007669829f,
+ 0.999957645f, 0.009203755f,
+ 0.999942350f, 0.010737659f,
+ 0.999924702f, 0.012271538f,
+ 0.999904701f, 0.013805389f,
+ 0.999882347f, 0.015339206f,
+ 0.999857641f, 0.016872988f,
+ 0.999830582f, 0.018406730f,
+ 0.999801170f, 0.019940429f,
+ 0.999769405f, 0.021474080f,
+ 0.999735288f, 0.023007681f,
+ 0.999698819f, 0.024541229f,
+ 0.999659997f, 0.026074718f,
+ 0.999618822f, 0.027608146f,
+ 0.999575296f, 0.029141509f,
+ 0.999529418f, 0.030674803f,
+ 0.999481187f, 0.032208025f,
+ 0.999430605f, 0.033741172f,
+ 0.999377670f, 0.035274239f,
+ 0.999322385f, 0.036807223f,
+ 0.999264747f, 0.038340120f,
+ 0.999204759f, 0.039872928f,
+ 0.999142419f, 0.041405641f,
+ 0.999077728f, 0.042938257f,
+ 0.999010686f, 0.044470772f,
+ 0.998941293f, 0.046003182f,
+ 0.998869550f, 0.047535484f,
+ 0.998795456f, 0.049067674f,
+ 0.998719012f, 0.050599749f,
+ 0.998640218f, 0.052131705f,
+ 0.998559074f, 0.053663538f,
+ 0.998475581f, 0.055195244f,
+ 0.998389737f, 0.056726821f,
+ 0.998301545f, 0.058258265f,
+ 0.998211003f, 0.059789571f,
+ 0.998118113f, 0.061320736f,
+ 0.998022874f, 0.062851758f,
+ 0.997925286f, 0.064382631f,
+ 0.997825350f, 0.065913353f,
+ 0.997723067f, 0.067443920f,
+ 0.997618435f, 0.068974328f,
+ 0.997511456f, 0.070504573f,
+ 0.997402130f, 0.072034653f,
+ 0.997290457f, 0.073564564f,
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+ 0.999322385f, -0.036807223f,
+ 0.999377670f, -0.035274239f,
+ 0.999430605f, -0.033741172f,
+ 0.999481187f, -0.032208025f,
+ 0.999529418f, -0.030674803f,
+ 0.999575296f, -0.029141509f,
+ 0.999618822f, -0.027608146f,
+ 0.999659997f, -0.026074718f,
+ 0.999698819f, -0.024541229f,
+ 0.999735288f, -0.023007681f,
+ 0.999769405f, -0.021474080f,
+ 0.999801170f, -0.019940429f,
+ 0.999830582f, -0.018406730f,
+ 0.999857641f, -0.016872988f,
+ 0.999882347f, -0.015339206f,
+ 0.999904701f, -0.013805389f,
+ 0.999924702f, -0.012271538f,
+ 0.999942350f, -0.010737659f,
+ 0.999957645f, -0.009203755f,
+ 0.999970586f, -0.007669829f,
+ 0.999981175f, -0.006135885f,
+ 0.999989411f, -0.004601926f,
+ 0.999995294f, -0.003067957f,
+ 0.999998823f, -0.001533980f
+};
+
+/*
+* @brief Q31 Twiddle factors Table
+*/
+
+
+/**
+* \par
+* Example code for Q31 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 16 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to Q31(Fixed point 1.31):
+* round(twiddleCoefQ31(i) * pow(2, 31))
+*
+*/
+const q31_t twiddleCoef_16_q31[24] = {
+ 0x7FFFFFFF, 0x00000000,
+ 0x7641AF3C, 0x30FBC54D,
+ 0x5A82799A, 0x5A82799A,
+ 0x30FBC54D, 0x7641AF3C,
+ 0x00000000, 0x7FFFFFFF,
+ 0xCF043AB2, 0x7641AF3C,
+ 0xA57D8666, 0x5A82799A,
+ 0x89BE50C3, 0x30FBC54D,
+ 0x80000000, 0x00000000,
+ 0x89BE50C3, 0xCF043AB2,
+ 0xA57D8666, 0xA57D8666,
+ 0xCF043AB2, 0x89BE50C3
+};
+
+/**
+* \par
+* Example code for Q31 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 32 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to Q31(Fixed point 1.31):
+* round(twiddleCoefQ31(i) * pow(2, 31))
+*
+*/
+const q31_t twiddleCoef_32_q31[48] = {
+ 0x7FFFFFFF, 0x00000000,
+ 0x7D8A5F3F, 0x18F8B83C,
+ 0x7641AF3C, 0x30FBC54D,
+ 0x6A6D98A4, 0x471CECE6,
+ 0x5A82799A, 0x5A82799A,
+ 0x471CECE6, 0x6A6D98A4,
+ 0x30FBC54D, 0x7641AF3C,
+ 0x18F8B83C, 0x7D8A5F3F,
+ 0x00000000, 0x7FFFFFFF,
+ 0xE70747C3, 0x7D8A5F3F,
+ 0xCF043AB2, 0x7641AF3C,
+ 0xB8E31319, 0x6A6D98A4,
+ 0xA57D8666, 0x5A82799A,
+ 0x9592675B, 0x471CECE6,
+ 0x89BE50C3, 0x30FBC54D,
+ 0x8275A0C0, 0x18F8B83C,
+ 0x80000000, 0x00000000,
+ 0x8275A0C0, 0xE70747C3,
+ 0x89BE50C3, 0xCF043AB2,
+ 0x9592675B, 0xB8E31319,
+ 0xA57D8666, 0xA57D8666,
+ 0xB8E31319, 0x9592675B,
+ 0xCF043AB2, 0x89BE50C3,
+ 0xE70747C3, 0x8275A0C0
+};
+
+/**
+* \par
+* Example code for Q31 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 64 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to Q31(Fixed point 1.31):
+* round(twiddleCoefQ31(i) * pow(2, 31))
+*
+*/
+const q31_t twiddleCoef_64_q31[96] = {
+ 0x7FFFFFFF, 0x00000000,
+ 0x7F62368F, 0x0C8BD35E,
+ 0x7D8A5F3F, 0x18F8B83C,
+ 0x7A7D055B, 0x25280C5D,
+ 0x7641AF3C, 0x30FBC54D,
+ 0x70E2CBC6, 0x3C56BA70,
+ 0x6A6D98A4, 0x471CECE6,
+ 0x62F201AC, 0x5133CC94,
+ 0x5A82799A, 0x5A82799A,
+ 0x5133CC94, 0x62F201AC,
+ 0x471CECE6, 0x6A6D98A4,
+ 0x3C56BA70, 0x70E2CBC6,
+ 0x30FBC54D, 0x7641AF3C,
+ 0x25280C5D, 0x7A7D055B,
+ 0x18F8B83C, 0x7D8A5F3F,
+ 0x0C8BD35E, 0x7F62368F,
+ 0x00000000, 0x7FFFFFFF,
+ 0xF3742CA1, 0x7F62368F,
+ 0xE70747C3, 0x7D8A5F3F,
+ 0xDAD7F3A2, 0x7A7D055B,
+ 0xCF043AB2, 0x7641AF3C,
+ 0xC3A9458F, 0x70E2CBC6,
+ 0xB8E31319, 0x6A6D98A4,
+ 0xAECC336B, 0x62F201AC,
+ 0xA57D8666, 0x5A82799A,
+ 0x9D0DFE53, 0x5133CC94,
+ 0x9592675B, 0x471CECE6,
+ 0x8F1D343A, 0x3C56BA70,
+ 0x89BE50C3, 0x30FBC54D,
+ 0x8582FAA4, 0x25280C5D,
+ 0x8275A0C0, 0x18F8B83C,
+ 0x809DC970, 0x0C8BD35E,
+ 0x80000000, 0x00000000,
+ 0x809DC970, 0xF3742CA1,
+ 0x8275A0C0, 0xE70747C3,
+ 0x8582FAA4, 0xDAD7F3A2,
+ 0x89BE50C3, 0xCF043AB2,
+ 0x8F1D343A, 0xC3A9458F,
+ 0x9592675B, 0xB8E31319,
+ 0x9D0DFE53, 0xAECC336B,
+ 0xA57D8666, 0xA57D8666,
+ 0xAECC336B, 0x9D0DFE53,
+ 0xB8E31319, 0x9592675B,
+ 0xC3A9458F, 0x8F1D343A,
+ 0xCF043AB2, 0x89BE50C3,
+ 0xDAD7F3A2, 0x8582FAA4,
+ 0xE70747C3, 0x8275A0C0,
+ 0xF3742CA1, 0x809DC970
+};
+
+/**
+* \par
+* Example code for Q31 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 128 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to Q31(Fixed point 1.31):
+* round(twiddleCoefQ31(i) * pow(2, 31))
+*
+*/
+const q31_t twiddleCoef_128_q31[192] = {
+ 0x7FFFFFFF, 0x00000000,
+ 0x7FD8878D, 0x0647D97C,
+ 0x7F62368F, 0x0C8BD35E,
+ 0x7E9D55FC, 0x12C8106E,
+ 0x7D8A5F3F, 0x18F8B83C,
+ 0x7C29FBEE, 0x1F19F97B,
+ 0x7A7D055B, 0x25280C5D,
+ 0x78848413, 0x2B1F34EB,
+ 0x7641AF3C, 0x30FBC54D,
+ 0x73B5EBD0, 0x36BA2013,
+ 0x70E2CBC6, 0x3C56BA70,
+ 0x6DCA0D14, 0x41CE1E64,
+ 0x6A6D98A4, 0x471CECE6,
+ 0x66CF811F, 0x4C3FDFF3,
+ 0x62F201AC, 0x5133CC94,
+ 0x5ED77C89, 0x55F5A4D2,
+ 0x5A82799A, 0x5A82799A,
+ 0x55F5A4D2, 0x5ED77C89,
+ 0x5133CC94, 0x62F201AC,
+ 0x4C3FDFF3, 0x66CF811F,
+ 0x471CECE6, 0x6A6D98A4,
+ 0x41CE1E64, 0x6DCA0D14,
+ 0x3C56BA70, 0x70E2CBC6,
+ 0x36BA2013, 0x73B5EBD0,
+ 0x30FBC54D, 0x7641AF3C,
+ 0x2B1F34EB, 0x78848413,
+ 0x25280C5D, 0x7A7D055B,
+ 0x1F19F97B, 0x7C29FBEE,
+ 0x18F8B83C, 0x7D8A5F3F,
+ 0x12C8106E, 0x7E9D55FC,
+ 0x0C8BD35E, 0x7F62368F,
+ 0x0647D97C, 0x7FD8878D,
+ 0x00000000, 0x7FFFFFFF,
+ 0xF9B82683, 0x7FD8878D,
+ 0xF3742CA1, 0x7F62368F,
+ 0xED37EF91, 0x7E9D55FC,
+ 0xE70747C3, 0x7D8A5F3F,
+ 0xE0E60684, 0x7C29FBEE,
+ 0xDAD7F3A2, 0x7A7D055B,
+ 0xD4E0CB14, 0x78848413,
+ 0xCF043AB2, 0x7641AF3C,
+ 0xC945DFEC, 0x73B5EBD0,
+ 0xC3A9458F, 0x70E2CBC6,
+ 0xBE31E19B, 0x6DCA0D14,
+ 0xB8E31319, 0x6A6D98A4,
+ 0xB3C0200C, 0x66CF811F,
+ 0xAECC336B, 0x62F201AC,
+ 0xAA0A5B2D, 0x5ED77C89,
+ 0xA57D8666, 0x5A82799A,
+ 0xA1288376, 0x55F5A4D2,
+ 0x9D0DFE53, 0x5133CC94,
+ 0x99307EE0, 0x4C3FDFF3,
+ 0x9592675B, 0x471CECE6,
+ 0x9235F2EB, 0x41CE1E64,
+ 0x8F1D343A, 0x3C56BA70,
+ 0x8C4A142F, 0x36BA2013,
+ 0x89BE50C3, 0x30FBC54D,
+ 0x877B7BEC, 0x2B1F34EB,
+ 0x8582FAA4, 0x25280C5D,
+ 0x83D60411, 0x1F19F97B,
+ 0x8275A0C0, 0x18F8B83C,
+ 0x8162AA03, 0x12C8106E,
+ 0x809DC970, 0x0C8BD35E,
+ 0x80277872, 0x0647D97C,
+ 0x80000000, 0x00000000,
+ 0x80277872, 0xF9B82683,
+ 0x809DC970, 0xF3742CA1,
+ 0x8162AA03, 0xED37EF91,
+ 0x8275A0C0, 0xE70747C3,
+ 0x83D60411, 0xE0E60684,
+ 0x8582FAA4, 0xDAD7F3A2,
+ 0x877B7BEC, 0xD4E0CB14,
+ 0x89BE50C3, 0xCF043AB2,
+ 0x8C4A142F, 0xC945DFEC,
+ 0x8F1D343A, 0xC3A9458F,
+ 0x9235F2EB, 0xBE31E19B,
+ 0x9592675B, 0xB8E31319,
+ 0x99307EE0, 0xB3C0200C,
+ 0x9D0DFE53, 0xAECC336B,
+ 0xA1288376, 0xAA0A5B2D,
+ 0xA57D8666, 0xA57D8666,
+ 0xAA0A5B2D, 0xA1288376,
+ 0xAECC336B, 0x9D0DFE53,
+ 0xB3C0200C, 0x99307EE0,
+ 0xB8E31319, 0x9592675B,
+ 0xBE31E19B, 0x9235F2EB,
+ 0xC3A9458F, 0x8F1D343A,
+ 0xC945DFEC, 0x8C4A142F,
+ 0xCF043AB2, 0x89BE50C3,
+ 0xD4E0CB14, 0x877B7BEC,
+ 0xDAD7F3A2, 0x8582FAA4,
+ 0xE0E60684, 0x83D60411,
+ 0xE70747C3, 0x8275A0C0,
+ 0xED37EF91, 0x8162AA03,
+ 0xF3742CA1, 0x809DC970,
+ 0xF9B82683, 0x80277872
+};
+
+/**
+* \par
+* Example code for Q31 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 256 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to Q31(Fixed point 1.31):
+* round(twiddleCoefQ31(i) * pow(2, 31))
+*
+*/
+const q31_t twiddleCoef_256_q31[384] = {
+ 0x7FFFFFFF, 0x00000000,
+ 0x7FF62182, 0x03242ABF,
+ 0x7FD8878D, 0x0647D97C,
+ 0x7FA736B4, 0x096A9049,
+ 0x7F62368F, 0x0C8BD35E,
+ 0x7F0991C3, 0x0FAB272B,
+ 0x7E9D55FC, 0x12C8106E,
+ 0x7E1D93E9, 0x15E21444,
+ 0x7D8A5F3F, 0x18F8B83C,
+ 0x7CE3CEB1, 0x1C0B826A,
+ 0x7C29FBEE, 0x1F19F97B,
+ 0x7B5D039D, 0x2223A4C5,
+ 0x7A7D055B, 0x25280C5D,
+ 0x798A23B1, 0x2826B928,
+ 0x78848413, 0x2B1F34EB,
+ 0x776C4EDB, 0x2E110A62,
+ 0x7641AF3C, 0x30FBC54D,
+ 0x7504D345, 0x33DEF287,
+ 0x73B5EBD0, 0x36BA2013,
+ 0x72552C84, 0x398CDD32,
+ 0x70E2CBC6, 0x3C56BA70,
+ 0x6F5F02B1, 0x3F1749B7,
+ 0x6DCA0D14, 0x41CE1E64,
+ 0x6C242960, 0x447ACD50,
+ 0x6A6D98A4, 0x471CECE6,
+ 0x68A69E81, 0x49B41533,
+ 0x66CF811F, 0x4C3FDFF3,
+ 0x64E88926, 0x4EBFE8A4,
+ 0x62F201AC, 0x5133CC94,
+ 0x60EC3830, 0x539B2AEF,
+ 0x5ED77C89, 0x55F5A4D2,
+ 0x5CB420DF, 0x5842DD54,
+ 0x5A82799A, 0x5A82799A,
+ 0x5842DD54, 0x5CB420DF,
+ 0x55F5A4D2, 0x5ED77C89,
+ 0x539B2AEF, 0x60EC3830,
+ 0x5133CC94, 0x62F201AC,
+ 0x4EBFE8A4, 0x64E88926,
+ 0x4C3FDFF3, 0x66CF811F,
+ 0x49B41533, 0x68A69E81,
+ 0x471CECE6, 0x6A6D98A4,
+ 0x447ACD50, 0x6C242960,
+ 0x41CE1E64, 0x6DCA0D14,
+ 0x3F1749B7, 0x6F5F02B1,
+ 0x3C56BA70, 0x70E2CBC6,
+ 0x398CDD32, 0x72552C84,
+ 0x36BA2013, 0x73B5EBD0,
+ 0x33DEF287, 0x7504D345,
+ 0x30FBC54D, 0x7641AF3C,
+ 0x2E110A62, 0x776C4EDB,
+ 0x2B1F34EB, 0x78848413,
+ 0x2826B928, 0x798A23B1,
+ 0x25280C5D, 0x7A7D055B,
+ 0x2223A4C5, 0x7B5D039D,
+ 0x1F19F97B, 0x7C29FBEE,
+ 0x1C0B826A, 0x7CE3CEB1,
+ 0x18F8B83C, 0x7D8A5F3F,
+ 0x15E21444, 0x7E1D93E9,
+ 0x12C8106E, 0x7E9D55FC,
+ 0x0FAB272B, 0x7F0991C3,
+ 0x0C8BD35E, 0x7F62368F,
+ 0x096A9049, 0x7FA736B4,
+ 0x0647D97C, 0x7FD8878D,
+ 0x03242ABF, 0x7FF62182,
+ 0x00000000, 0x7FFFFFFF,
+ 0xFCDBD541, 0x7FF62182,
+ 0xF9B82683, 0x7FD8878D,
+ 0xF6956FB6, 0x7FA736B4,
+ 0xF3742CA1, 0x7F62368F,
+ 0xF054D8D4, 0x7F0991C3,
+ 0xED37EF91, 0x7E9D55FC,
+ 0xEA1DEBBB, 0x7E1D93E9,
+ 0xE70747C3, 0x7D8A5F3F,
+ 0xE3F47D95, 0x7CE3CEB1,
+ 0xE0E60684, 0x7C29FBEE,
+ 0xDDDC5B3A, 0x7B5D039D,
+ 0xDAD7F3A2, 0x7A7D055B,
+ 0xD7D946D7, 0x798A23B1,
+ 0xD4E0CB14, 0x78848413,
+ 0xD1EEF59E, 0x776C4EDB,
+ 0xCF043AB2, 0x7641AF3C,
+ 0xCC210D78, 0x7504D345,
+ 0xC945DFEC, 0x73B5EBD0,
+ 0xC67322CD, 0x72552C84,
+ 0xC3A9458F, 0x70E2CBC6,
+ 0xC0E8B648, 0x6F5F02B1,
+ 0xBE31E19B, 0x6DCA0D14,
+ 0xBB8532AF, 0x6C242960,
+ 0xB8E31319, 0x6A6D98A4,
+ 0xB64BEACC, 0x68A69E81,
+ 0xB3C0200C, 0x66CF811F,
+ 0xB140175B, 0x64E88926,
+ 0xAECC336B, 0x62F201AC,
+ 0xAC64D510, 0x60EC3830,
+ 0xAA0A5B2D, 0x5ED77C89,
+ 0xA7BD22AB, 0x5CB420DF,
+ 0xA57D8666, 0x5A82799A,
+ 0xA34BDF20, 0x5842DD54,
+ 0xA1288376, 0x55F5A4D2,
+ 0x9F13C7D0, 0x539B2AEF,
+ 0x9D0DFE53, 0x5133CC94,
+ 0x9B1776D9, 0x4EBFE8A4,
+ 0x99307EE0, 0x4C3FDFF3,
+ 0x9759617E, 0x49B41533,
+ 0x9592675B, 0x471CECE6,
+ 0x93DBD69F, 0x447ACD50,
+ 0x9235F2EB, 0x41CE1E64,
+ 0x90A0FD4E, 0x3F1749B7,
+ 0x8F1D343A, 0x3C56BA70,
+ 0x8DAAD37B, 0x398CDD32,
+ 0x8C4A142F, 0x36BA2013,
+ 0x8AFB2CBA, 0x33DEF287,
+ 0x89BE50C3, 0x30FBC54D,
+ 0x8893B124, 0x2E110A62,
+ 0x877B7BEC, 0x2B1F34EB,
+ 0x8675DC4E, 0x2826B928,
+ 0x8582FAA4, 0x25280C5D,
+ 0x84A2FC62, 0x2223A4C5,
+ 0x83D60411, 0x1F19F97B,
+ 0x831C314E, 0x1C0B826A,
+ 0x8275A0C0, 0x18F8B83C,
+ 0x81E26C16, 0x15E21444,
+ 0x8162AA03, 0x12C8106E,
+ 0x80F66E3C, 0x0FAB272B,
+ 0x809DC970, 0x0C8BD35E,
+ 0x8058C94C, 0x096A9049,
+ 0x80277872, 0x0647D97C,
+ 0x8009DE7D, 0x03242ABF,
+ 0x80000000, 0x00000000,
+ 0x8009DE7D, 0xFCDBD541,
+ 0x80277872, 0xF9B82683,
+ 0x8058C94C, 0xF6956FB6,
+ 0x809DC970, 0xF3742CA1,
+ 0x80F66E3C, 0xF054D8D4,
+ 0x8162AA03, 0xED37EF91,
+ 0x81E26C16, 0xEA1DEBBB,
+ 0x8275A0C0, 0xE70747C3,
+ 0x831C314E, 0xE3F47D95,
+ 0x83D60411, 0xE0E60684,
+ 0x84A2FC62, 0xDDDC5B3A,
+ 0x8582FAA4, 0xDAD7F3A2,
+ 0x8675DC4E, 0xD7D946D7,
+ 0x877B7BEC, 0xD4E0CB14,
+ 0x8893B124, 0xD1EEF59E,
+ 0x89BE50C3, 0xCF043AB2,
+ 0x8AFB2CBA, 0xCC210D78,
+ 0x8C4A142F, 0xC945DFEC,
+ 0x8DAAD37B, 0xC67322CD,
+ 0x8F1D343A, 0xC3A9458F,
+ 0x90A0FD4E, 0xC0E8B648,
+ 0x9235F2EB, 0xBE31E19B,
+ 0x93DBD69F, 0xBB8532AF,
+ 0x9592675B, 0xB8E31319,
+ 0x9759617E, 0xB64BEACC,
+ 0x99307EE0, 0xB3C0200C,
+ 0x9B1776D9, 0xB140175B,
+ 0x9D0DFE53, 0xAECC336B,
+ 0x9F13C7D0, 0xAC64D510,
+ 0xA1288376, 0xAA0A5B2D,
+ 0xA34BDF20, 0xA7BD22AB,
+ 0xA57D8666, 0xA57D8666,
+ 0xA7BD22AB, 0xA34BDF20,
+ 0xAA0A5B2D, 0xA1288376,
+ 0xAC64D510, 0x9F13C7D0,
+ 0xAECC336B, 0x9D0DFE53,
+ 0xB140175B, 0x9B1776D9,
+ 0xB3C0200C, 0x99307EE0,
+ 0xB64BEACC, 0x9759617E,
+ 0xB8E31319, 0x9592675B,
+ 0xBB8532AF, 0x93DBD69F,
+ 0xBE31E19B, 0x9235F2EB,
+ 0xC0E8B648, 0x90A0FD4E,
+ 0xC3A9458F, 0x8F1D343A,
+ 0xC67322CD, 0x8DAAD37B,
+ 0xC945DFEC, 0x8C4A142F,
+ 0xCC210D78, 0x8AFB2CBA,
+ 0xCF043AB2, 0x89BE50C3,
+ 0xD1EEF59E, 0x8893B124,
+ 0xD4E0CB14, 0x877B7BEC,
+ 0xD7D946D7, 0x8675DC4E,
+ 0xDAD7F3A2, 0x8582FAA4,
+ 0xDDDC5B3A, 0x84A2FC62,
+ 0xE0E60684, 0x83D60411,
+ 0xE3F47D95, 0x831C314E,
+ 0xE70747C3, 0x8275A0C0,
+ 0xEA1DEBBB, 0x81E26C16,
+ 0xED37EF91, 0x8162AA03,
+ 0xF054D8D4, 0x80F66E3C,
+ 0xF3742CA1, 0x809DC970,
+ 0xF6956FB6, 0x8058C94C,
+ 0xF9B82683, 0x80277872,
+ 0xFCDBD541, 0x8009DE7D
+};
+
+/**
+* \par
+* Example code for Q31 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 512 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to Q31(Fixed point 1.31):
+* round(twiddleCoefQ31(i) * pow(2, 31))
+*
+*/
+const q31_t twiddleCoef_512_q31[768] = {
+ 0x7FFFFFFF, 0x00000000,
+ 0x7FFD885A, 0x01921D1F,
+ 0x7FF62182, 0x03242ABF,
+ 0x7FE9CBC0, 0x04B6195D,
+ 0x7FD8878D, 0x0647D97C,
+ 0x7FC25596, 0x07D95B9E,
+ 0x7FA736B4, 0x096A9049,
+ 0x7F872BF3, 0x0AFB6805,
+ 0x7F62368F, 0x0C8BD35E,
+ 0x7F3857F5, 0x0E1BC2E3,
+ 0x7F0991C3, 0x0FAB272B,
+ 0x7ED5E5C6, 0x1139F0CE,
+ 0x7E9D55FC, 0x12C8106E,
+ 0x7E5FE493, 0x145576B1,
+ 0x7E1D93E9, 0x15E21444,
+ 0x7DD6668E, 0x176DD9DE,
+ 0x7D8A5F3F, 0x18F8B83C,
+ 0x7D3980EC, 0x1A82A025,
+ 0x7CE3CEB1, 0x1C0B826A,
+ 0x7C894BDD, 0x1D934FE5,
+ 0x7C29FBEE, 0x1F19F97B,
+ 0x7BC5E28F, 0x209F701C,
+ 0x7B5D039D, 0x2223A4C5,
+ 0x7AEF6323, 0x23A6887E,
+ 0x7A7D055B, 0x25280C5D,
+ 0x7A05EEAD, 0x26A82185,
+ 0x798A23B1, 0x2826B928,
+ 0x7909A92C, 0x29A3C484,
+ 0x78848413, 0x2B1F34EB,
+ 0x77FAB988, 0x2C98FBBA,
+ 0x776C4EDB, 0x2E110A62,
+ 0x76D94988, 0x2F875262,
+ 0x7641AF3C, 0x30FBC54D,
+ 0x75A585CF, 0x326E54C7,
+ 0x7504D345, 0x33DEF287,
+ 0x745F9DD1, 0x354D9056,
+ 0x73B5EBD0, 0x36BA2013,
+ 0x7307C3D0, 0x382493B0,
+ 0x72552C84, 0x398CDD32,
+ 0x719E2CD2, 0x3AF2EEB7,
+ 0x70E2CBC6, 0x3C56BA70,
+ 0x70231099, 0x3DB832A5,
+ 0x6F5F02B1, 0x3F1749B7,
+ 0x6E96A99C, 0x4073F21D,
+ 0x6DCA0D14, 0x41CE1E64,
+ 0x6CF934FB, 0x4325C135,
+ 0x6C242960, 0x447ACD50,
+ 0x6B4AF278, 0x45CD358F,
+ 0x6A6D98A4, 0x471CECE6,
+ 0x698C246C, 0x4869E664,
+ 0x68A69E81, 0x49B41533,
+ 0x67BD0FBC, 0x4AFB6C97,
+ 0x66CF811F, 0x4C3FDFF3,
+ 0x65DDFBD3, 0x4D8162C4,
+ 0x64E88926, 0x4EBFE8A4,
+ 0x63EF328F, 0x4FFB654D,
+ 0x62F201AC, 0x5133CC94,
+ 0x61F1003E, 0x5269126E,
+ 0x60EC3830, 0x539B2AEF,
+ 0x5FE3B38D, 0x54CA0A4A,
+ 0x5ED77C89, 0x55F5A4D2,
+ 0x5DC79D7C, 0x571DEEF9,
+ 0x5CB420DF, 0x5842DD54,
+ 0x5B9D1153, 0x59646497,
+ 0x5A82799A, 0x5A82799A,
+ 0x59646497, 0x5B9D1153,
+ 0x5842DD54, 0x5CB420DF,
+ 0x571DEEF9, 0x5DC79D7C,
+ 0x55F5A4D2, 0x5ED77C89,
+ 0x54CA0A4A, 0x5FE3B38D,
+ 0x539B2AEF, 0x60EC3830,
+ 0x5269126E, 0x61F1003E,
+ 0x5133CC94, 0x62F201AC,
+ 0x4FFB654D, 0x63EF328F,
+ 0x4EBFE8A4, 0x64E88926,
+ 0x4D8162C4, 0x65DDFBD3,
+ 0x4C3FDFF3, 0x66CF811F,
+ 0x4AFB6C97, 0x67BD0FBC,
+ 0x49B41533, 0x68A69E81,
+ 0x4869E664, 0x698C246C,
+ 0x471CECE6, 0x6A6D98A4,
+ 0x45CD358F, 0x6B4AF278,
+ 0x447ACD50, 0x6C242960,
+ 0x4325C135, 0x6CF934FB,
+ 0x41CE1E64, 0x6DCA0D14,
+ 0x4073F21D, 0x6E96A99C,
+ 0x3F1749B7, 0x6F5F02B1,
+ 0x3DB832A5, 0x70231099,
+ 0x3C56BA70, 0x70E2CBC6,
+ 0x3AF2EEB7, 0x719E2CD2,
+ 0x398CDD32, 0x72552C84,
+ 0x382493B0, 0x7307C3D0,
+ 0x36BA2013, 0x73B5EBD0,
+ 0x354D9056, 0x745F9DD1,
+ 0x33DEF287, 0x7504D345,
+ 0x326E54C7, 0x75A585CF,
+ 0x30FBC54D, 0x7641AF3C,
+ 0x2F875262, 0x76D94988,
+ 0x2E110A62, 0x776C4EDB,
+ 0x2C98FBBA, 0x77FAB988,
+ 0x2B1F34EB, 0x78848413,
+ 0x29A3C484, 0x7909A92C,
+ 0x2826B928, 0x798A23B1,
+ 0x26A82185, 0x7A05EEAD,
+ 0x25280C5D, 0x7A7D055B,
+ 0x23A6887E, 0x7AEF6323,
+ 0x2223A4C5, 0x7B5D039D,
+ 0x209F701C, 0x7BC5E28F,
+ 0x1F19F97B, 0x7C29FBEE,
+ 0x1D934FE5, 0x7C894BDD,
+ 0x1C0B826A, 0x7CE3CEB1,
+ 0x1A82A025, 0x7D3980EC,
+ 0x18F8B83C, 0x7D8A5F3F,
+ 0x176DD9DE, 0x7DD6668E,
+ 0x15E21444, 0x7E1D93E9,
+ 0x145576B1, 0x7E5FE493,
+ 0x12C8106E, 0x7E9D55FC,
+ 0x1139F0CE, 0x7ED5E5C6,
+ 0x0FAB272B, 0x7F0991C3,
+ 0x0E1BC2E3, 0x7F3857F5,
+ 0x0C8BD35E, 0x7F62368F,
+ 0x0AFB6805, 0x7F872BF3,
+ 0x096A9049, 0x7FA736B4,
+ 0x07D95B9E, 0x7FC25596,
+ 0x0647D97C, 0x7FD8878D,
+ 0x04B6195D, 0x7FE9CBC0,
+ 0x03242ABF, 0x7FF62182,
+ 0x01921D1F, 0x7FFD885A,
+ 0x00000000, 0x7FFFFFFF,
+ 0xFE6DE2E0, 0x7FFD885A,
+ 0xFCDBD541, 0x7FF62182,
+ 0xFB49E6A2, 0x7FE9CBC0,
+ 0xF9B82683, 0x7FD8878D,
+ 0xF826A461, 0x7FC25596,
+ 0xF6956FB6, 0x7FA736B4,
+ 0xF50497FA, 0x7F872BF3,
+ 0xF3742CA1, 0x7F62368F,
+ 0xF1E43D1C, 0x7F3857F5,
+ 0xF054D8D4, 0x7F0991C3,
+ 0xEEC60F31, 0x7ED5E5C6,
+ 0xED37EF91, 0x7E9D55FC,
+ 0xEBAA894E, 0x7E5FE493,
+ 0xEA1DEBBB, 0x7E1D93E9,
+ 0xE8922621, 0x7DD6668E,
+ 0xE70747C3, 0x7D8A5F3F,
+ 0xE57D5FDA, 0x7D3980EC,
+ 0xE3F47D95, 0x7CE3CEB1,
+ 0xE26CB01A, 0x7C894BDD,
+ 0xE0E60684, 0x7C29FBEE,
+ 0xDF608FE3, 0x7BC5E28F,
+ 0xDDDC5B3A, 0x7B5D039D,
+ 0xDC597781, 0x7AEF6323,
+ 0xDAD7F3A2, 0x7A7D055B,
+ 0xD957DE7A, 0x7A05EEAD,
+ 0xD7D946D7, 0x798A23B1,
+ 0xD65C3B7B, 0x7909A92C,
+ 0xD4E0CB14, 0x78848413,
+ 0xD3670445, 0x77FAB988,
+ 0xD1EEF59E, 0x776C4EDB,
+ 0xD078AD9D, 0x76D94988,
+ 0xCF043AB2, 0x7641AF3C,
+ 0xCD91AB38, 0x75A585CF,
+ 0xCC210D78, 0x7504D345,
+ 0xCAB26FA9, 0x745F9DD1,
+ 0xC945DFEC, 0x73B5EBD0,
+ 0xC7DB6C50, 0x7307C3D0,
+ 0xC67322CD, 0x72552C84,
+ 0xC50D1148, 0x719E2CD2,
+ 0xC3A9458F, 0x70E2CBC6,
+ 0xC247CD5A, 0x70231099,
+ 0xC0E8B648, 0x6F5F02B1,
+ 0xBF8C0DE2, 0x6E96A99C,
+ 0xBE31E19B, 0x6DCA0D14,
+ 0xBCDA3ECA, 0x6CF934FB,
+ 0xBB8532AF, 0x6C242960,
+ 0xBA32CA70, 0x6B4AF278,
+ 0xB8E31319, 0x6A6D98A4,
+ 0xB796199B, 0x698C246C,
+ 0xB64BEACC, 0x68A69E81,
+ 0xB5049368, 0x67BD0FBC,
+ 0xB3C0200C, 0x66CF811F,
+ 0xB27E9D3B, 0x65DDFBD3,
+ 0xB140175B, 0x64E88926,
+ 0xB0049AB2, 0x63EF328F,
+ 0xAECC336B, 0x62F201AC,
+ 0xAD96ED91, 0x61F1003E,
+ 0xAC64D510, 0x60EC3830,
+ 0xAB35F5B5, 0x5FE3B38D,
+ 0xAA0A5B2D, 0x5ED77C89,
+ 0xA8E21106, 0x5DC79D7C,
+ 0xA7BD22AB, 0x5CB420DF,
+ 0xA69B9B68, 0x5B9D1153,
+ 0xA57D8666, 0x5A82799A,
+ 0xA462EEAC, 0x59646497,
+ 0xA34BDF20, 0x5842DD54,
+ 0xA2386283, 0x571DEEF9,
+ 0xA1288376, 0x55F5A4D2,
+ 0xA01C4C72, 0x54CA0A4A,
+ 0x9F13C7D0, 0x539B2AEF,
+ 0x9E0EFFC1, 0x5269126E,
+ 0x9D0DFE53, 0x5133CC94,
+ 0x9C10CD70, 0x4FFB654D,
+ 0x9B1776D9, 0x4EBFE8A4,
+ 0x9A22042C, 0x4D8162C4,
+ 0x99307EE0, 0x4C3FDFF3,
+ 0x9842F043, 0x4AFB6C97,
+ 0x9759617E, 0x49B41533,
+ 0x9673DB94, 0x4869E664,
+ 0x9592675B, 0x471CECE6,
+ 0x94B50D87, 0x45CD358F,
+ 0x93DBD69F, 0x447ACD50,
+ 0x9306CB04, 0x4325C135,
+ 0x9235F2EB, 0x41CE1E64,
+ 0x91695663, 0x4073F21D,
+ 0x90A0FD4E, 0x3F1749B7,
+ 0x8FDCEF66, 0x3DB832A5,
+ 0x8F1D343A, 0x3C56BA70,
+ 0x8E61D32D, 0x3AF2EEB7,
+ 0x8DAAD37B, 0x398CDD32,
+ 0x8CF83C30, 0x382493B0,
+ 0x8C4A142F, 0x36BA2013,
+ 0x8BA0622F, 0x354D9056,
+ 0x8AFB2CBA, 0x33DEF287,
+ 0x8A5A7A30, 0x326E54C7,
+ 0x89BE50C3, 0x30FBC54D,
+ 0x8926B677, 0x2F875262,
+ 0x8893B124, 0x2E110A62,
+ 0x88054677, 0x2C98FBBA,
+ 0x877B7BEC, 0x2B1F34EB,
+ 0x86F656D3, 0x29A3C484,
+ 0x8675DC4E, 0x2826B928,
+ 0x85FA1152, 0x26A82185,
+ 0x8582FAA4, 0x25280C5D,
+ 0x85109CDC, 0x23A6887E,
+ 0x84A2FC62, 0x2223A4C5,
+ 0x843A1D70, 0x209F701C,
+ 0x83D60411, 0x1F19F97B,
+ 0x8376B422, 0x1D934FE5,
+ 0x831C314E, 0x1C0B826A,
+ 0x82C67F13, 0x1A82A025,
+ 0x8275A0C0, 0x18F8B83C,
+ 0x82299971, 0x176DD9DE,
+ 0x81E26C16, 0x15E21444,
+ 0x81A01B6C, 0x145576B1,
+ 0x8162AA03, 0x12C8106E,
+ 0x812A1A39, 0x1139F0CE,
+ 0x80F66E3C, 0x0FAB272B,
+ 0x80C7A80A, 0x0E1BC2E3,
+ 0x809DC970, 0x0C8BD35E,
+ 0x8078D40D, 0x0AFB6805,
+ 0x8058C94C, 0x096A9049,
+ 0x803DAA69, 0x07D95B9E,
+ 0x80277872, 0x0647D97C,
+ 0x80163440, 0x04B6195D,
+ 0x8009DE7D, 0x03242ABF,
+ 0x800277A5, 0x01921D1F,
+ 0x80000000, 0x00000000,
+ 0x800277A5, 0xFE6DE2E0,
+ 0x8009DE7D, 0xFCDBD541,
+ 0x80163440, 0xFB49E6A2,
+ 0x80277872, 0xF9B82683,
+ 0x803DAA69, 0xF826A461,
+ 0x8058C94C, 0xF6956FB6,
+ 0x8078D40D, 0xF50497FA,
+ 0x809DC970, 0xF3742CA1,
+ 0x80C7A80A, 0xF1E43D1C,
+ 0x80F66E3C, 0xF054D8D4,
+ 0x812A1A39, 0xEEC60F31,
+ 0x8162AA03, 0xED37EF91,
+ 0x81A01B6C, 0xEBAA894E,
+ 0x81E26C16, 0xEA1DEBBB,
+ 0x82299971, 0xE8922621,
+ 0x8275A0C0, 0xE70747C3,
+ 0x82C67F13, 0xE57D5FDA,
+ 0x831C314E, 0xE3F47D95,
+ 0x8376B422, 0xE26CB01A,
+ 0x83D60411, 0xE0E60684,
+ 0x843A1D70, 0xDF608FE3,
+ 0x84A2FC62, 0xDDDC5B3A,
+ 0x85109CDC, 0xDC597781,
+ 0x8582FAA4, 0xDAD7F3A2,
+ 0x85FA1152, 0xD957DE7A,
+ 0x8675DC4E, 0xD7D946D7,
+ 0x86F656D3, 0xD65C3B7B,
+ 0x877B7BEC, 0xD4E0CB14,
+ 0x88054677, 0xD3670445,
+ 0x8893B124, 0xD1EEF59E,
+ 0x8926B677, 0xD078AD9D,
+ 0x89BE50C3, 0xCF043AB2,
+ 0x8A5A7A30, 0xCD91AB38,
+ 0x8AFB2CBA, 0xCC210D78,
+ 0x8BA0622F, 0xCAB26FA9,
+ 0x8C4A142F, 0xC945DFEC,
+ 0x8CF83C30, 0xC7DB6C50,
+ 0x8DAAD37B, 0xC67322CD,
+ 0x8E61D32D, 0xC50D1148,
+ 0x8F1D343A, 0xC3A9458F,
+ 0x8FDCEF66, 0xC247CD5A,
+ 0x90A0FD4E, 0xC0E8B648,
+ 0x91695663, 0xBF8C0DE2,
+ 0x9235F2EB, 0xBE31E19B,
+ 0x9306CB04, 0xBCDA3ECA,
+ 0x93DBD69F, 0xBB8532AF,
+ 0x94B50D87, 0xBA32CA70,
+ 0x9592675B, 0xB8E31319,
+ 0x9673DB94, 0xB796199B,
+ 0x9759617E, 0xB64BEACC,
+ 0x9842F043, 0xB5049368,
+ 0x99307EE0, 0xB3C0200C,
+ 0x9A22042C, 0xB27E9D3B,
+ 0x9B1776D9, 0xB140175B,
+ 0x9C10CD70, 0xB0049AB2,
+ 0x9D0DFE53, 0xAECC336B,
+ 0x9E0EFFC1, 0xAD96ED91,
+ 0x9F13C7D0, 0xAC64D510,
+ 0xA01C4C72, 0xAB35F5B5,
+ 0xA1288376, 0xAA0A5B2D,
+ 0xA2386283, 0xA8E21106,
+ 0xA34BDF20, 0xA7BD22AB,
+ 0xA462EEAC, 0xA69B9B68,
+ 0xA57D8666, 0xA57D8666,
+ 0xA69B9B68, 0xA462EEAC,
+ 0xA7BD22AB, 0xA34BDF20,
+ 0xA8E21106, 0xA2386283,
+ 0xAA0A5B2D, 0xA1288376,
+ 0xAB35F5B5, 0xA01C4C72,
+ 0xAC64D510, 0x9F13C7D0,
+ 0xAD96ED91, 0x9E0EFFC1,
+ 0xAECC336B, 0x9D0DFE53,
+ 0xB0049AB2, 0x9C10CD70,
+ 0xB140175B, 0x9B1776D9,
+ 0xB27E9D3B, 0x9A22042C,
+ 0xB3C0200C, 0x99307EE0,
+ 0xB5049368, 0x9842F043,
+ 0xB64BEACC, 0x9759617E,
+ 0xB796199B, 0x9673DB94,
+ 0xB8E31319, 0x9592675B,
+ 0xBA32CA70, 0x94B50D87,
+ 0xBB8532AF, 0x93DBD69F,
+ 0xBCDA3ECA, 0x9306CB04,
+ 0xBE31E19B, 0x9235F2EB,
+ 0xBF8C0DE2, 0x91695663,
+ 0xC0E8B648, 0x90A0FD4E,
+ 0xC247CD5A, 0x8FDCEF66,
+ 0xC3A9458F, 0x8F1D343A,
+ 0xC50D1148, 0x8E61D32D,
+ 0xC67322CD, 0x8DAAD37B,
+ 0xC7DB6C50, 0x8CF83C30,
+ 0xC945DFEC, 0x8C4A142F,
+ 0xCAB26FA9, 0x8BA0622F,
+ 0xCC210D78, 0x8AFB2CBA,
+ 0xCD91AB38, 0x8A5A7A30,
+ 0xCF043AB2, 0x89BE50C3,
+ 0xD078AD9D, 0x8926B677,
+ 0xD1EEF59E, 0x8893B124,
+ 0xD3670445, 0x88054677,
+ 0xD4E0CB14, 0x877B7BEC,
+ 0xD65C3B7B, 0x86F656D3,
+ 0xD7D946D7, 0x8675DC4E,
+ 0xD957DE7A, 0x85FA1152,
+ 0xDAD7F3A2, 0x8582FAA4,
+ 0xDC597781, 0x85109CDC,
+ 0xDDDC5B3A, 0x84A2FC62,
+ 0xDF608FE3, 0x843A1D70,
+ 0xE0E60684, 0x83D60411,
+ 0xE26CB01A, 0x8376B422,
+ 0xE3F47D95, 0x831C314E,
+ 0xE57D5FDA, 0x82C67F13,
+ 0xE70747C3, 0x8275A0C0,
+ 0xE8922621, 0x82299971,
+ 0xEA1DEBBB, 0x81E26C16,
+ 0xEBAA894E, 0x81A01B6C,
+ 0xED37EF91, 0x8162AA03,
+ 0xEEC60F31, 0x812A1A39,
+ 0xF054D8D4, 0x80F66E3C,
+ 0xF1E43D1C, 0x80C7A80A,
+ 0xF3742CA1, 0x809DC970,
+ 0xF50497FA, 0x8078D40D,
+ 0xF6956FB6, 0x8058C94C,
+ 0xF826A461, 0x803DAA69,
+ 0xF9B82683, 0x80277872,
+ 0xFB49E6A2, 0x80163440,
+ 0xFCDBD541, 0x8009DE7D,
+ 0xFE6DE2E0, 0x800277A5
+};
+
+/**
+* \par
+* Example code for Q31 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 1024 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to Q31(Fixed point 1.31):
+* round(twiddleCoefQ31(i) * pow(2, 31))
+*
+*/
+const q31_t twiddleCoef_1024_q31[1536] = {
+ 0x7FFFFFFF, 0x00000000,
+ 0x7FFF6216, 0x00C90F88,
+ 0x7FFD885A, 0x01921D1F,
+ 0x7FFA72D1, 0x025B26D7,
+ 0x7FF62182, 0x03242ABF,
+ 0x7FF09477, 0x03ED26E6,
+ 0x7FE9CBC0, 0x04B6195D,
+ 0x7FE1C76B, 0x057F0034,
+ 0x7FD8878D, 0x0647D97C,
+ 0x7FCE0C3E, 0x0710A344,
+ 0x7FC25596, 0x07D95B9E,
+ 0x7FB563B2, 0x08A2009A,
+ 0x7FA736B4, 0x096A9049,
+ 0x7F97CEBC, 0x0A3308BC,
+ 0x7F872BF3, 0x0AFB6805,
+ 0x7F754E7F, 0x0BC3AC35,
+ 0x7F62368F, 0x0C8BD35E,
+ 0x7F4DE450, 0x0D53DB92,
+ 0x7F3857F5, 0x0E1BC2E3,
+ 0x7F2191B4, 0x0EE38765,
+ 0x7F0991C3, 0x0FAB272B,
+ 0x7EF0585F, 0x1072A047,
+ 0x7ED5E5C6, 0x1139F0CE,
+ 0x7EBA3A39, 0x120116D4,
+ 0x7E9D55FC, 0x12C8106E,
+ 0x7E7F3956, 0x138EDBB0,
+ 0x7E5FE493, 0x145576B1,
+ 0x7E3F57FE, 0x151BDF85,
+ 0x7E1D93E9, 0x15E21444,
+ 0x7DFA98A7, 0x16A81305,
+ 0x7DD6668E, 0x176DD9DE,
+ 0x7DB0FDF7, 0x183366E8,
+ 0x7D8A5F3F, 0x18F8B83C,
+ 0x7D628AC5, 0x19BDCBF2,
+ 0x7D3980EC, 0x1A82A025,
+ 0x7D0F4218, 0x1B4732EF,
+ 0x7CE3CEB1, 0x1C0B826A,
+ 0x7CB72724, 0x1CCF8CB3,
+ 0x7C894BDD, 0x1D934FE5,
+ 0x7C5A3D4F, 0x1E56CA1E,
+ 0x7C29FBEE, 0x1F19F97B,
+ 0x7BF88830, 0x1FDCDC1A,
+ 0x7BC5E28F, 0x209F701C,
+ 0x7B920B89, 0x2161B39F,
+ 0x7B5D039D, 0x2223A4C5,
+ 0x7B26CB4F, 0x22E541AE,
+ 0x7AEF6323, 0x23A6887E,
+ 0x7AB6CBA3, 0x24677757,
+ 0x7A7D055B, 0x25280C5D,
+ 0x7A4210D8, 0x25E845B5,
+ 0x7A05EEAD, 0x26A82185,
+ 0x79C89F6D, 0x27679DF4,
+ 0x798A23B1, 0x2826B928,
+ 0x794A7C11, 0x28E5714A,
+ 0x7909A92C, 0x29A3C484,
+ 0x78C7ABA1, 0x2A61B101,
+ 0x78848413, 0x2B1F34EB,
+ 0x78403328, 0x2BDC4E6F,
+ 0x77FAB988, 0x2C98FBBA,
+ 0x77B417DF, 0x2D553AFB,
+ 0x776C4EDB, 0x2E110A62,
+ 0x77235F2D, 0x2ECC681E,
+ 0x76D94988, 0x2F875262,
+ 0x768E0EA5, 0x3041C760,
+ 0x7641AF3C, 0x30FBC54D,
+ 0x75F42C0A, 0x31B54A5D,
+ 0x75A585CF, 0x326E54C7,
+ 0x7555BD4B, 0x3326E2C2,
+ 0x7504D345, 0x33DEF287,
+ 0x74B2C883, 0x3496824F,
+ 0x745F9DD1, 0x354D9056,
+ 0x740B53FA, 0x36041AD9,
+ 0x73B5EBD0, 0x36BA2013,
+ 0x735F6626, 0x376F9E46,
+ 0x7307C3D0, 0x382493B0,
+ 0x72AF05A6, 0x38D8FE93,
+ 0x72552C84, 0x398CDD32,
+ 0x71FA3948, 0x3A402DD1,
+ 0x719E2CD2, 0x3AF2EEB7,
+ 0x71410804, 0x3BA51E29,
+ 0x70E2CBC6, 0x3C56BA70,
+ 0x708378FE, 0x3D07C1D5,
+ 0x70231099, 0x3DB832A5,
+ 0x6FC19385, 0x3E680B2C,
+ 0x6F5F02B1, 0x3F1749B7,
+ 0x6EFB5F12, 0x3FC5EC97,
+ 0x6E96A99C, 0x4073F21D,
+ 0x6E30E349, 0x4121589A,
+ 0x6DCA0D14, 0x41CE1E64,
+ 0x6D6227FA, 0x427A41D0,
+ 0x6CF934FB, 0x4325C135,
+ 0x6C8F351C, 0x43D09AEC,
+ 0x6C242960, 0x447ACD50,
+ 0x6BB812D0, 0x452456BC,
+ 0x6B4AF278, 0x45CD358F,
+ 0x6ADCC964, 0x46756827,
+ 0x6A6D98A4, 0x471CECE6,
+ 0x69FD614A, 0x47C3C22E,
+ 0x698C246C, 0x4869E664,
+ 0x6919E320, 0x490F57EE,
+ 0x68A69E81, 0x49B41533,
+ 0x683257AA, 0x4A581C9D,
+ 0x67BD0FBC, 0x4AFB6C97,
+ 0x6746C7D7, 0x4B9E038F,
+ 0x66CF811F, 0x4C3FDFF3,
+ 0x66573CBB, 0x4CE10034,
+ 0x65DDFBD3, 0x4D8162C4,
+ 0x6563BF92, 0x4E210617,
+ 0x64E88926, 0x4EBFE8A4,
+ 0x646C59BF, 0x4F5E08E3,
+ 0x63EF328F, 0x4FFB654D,
+ 0x637114CC, 0x5097FC5E,
+ 0x62F201AC, 0x5133CC94,
+ 0x6271FA69, 0x51CED46E,
+ 0x61F1003E, 0x5269126E,
+ 0x616F146B, 0x53028517,
+ 0x60EC3830, 0x539B2AEF,
+ 0x60686CCE, 0x5433027D,
+ 0x5FE3B38D, 0x54CA0A4A,
+ 0x5F5E0DB3, 0x556040E2,
+ 0x5ED77C89, 0x55F5A4D2,
+ 0x5E50015D, 0x568A34A9,
+ 0x5DC79D7C, 0x571DEEF9,
+ 0x5D3E5236, 0x57B0D256,
+ 0x5CB420DF, 0x5842DD54,
+ 0x5C290ACC, 0x58D40E8C,
+ 0x5B9D1153, 0x59646497,
+ 0x5B1035CF, 0x59F3DE12,
+ 0x5A82799A, 0x5A82799A,
+ 0x59F3DE12, 0x5B1035CF,
+ 0x59646497, 0x5B9D1153,
+ 0x58D40E8C, 0x5C290ACC,
+ 0x5842DD54, 0x5CB420DF,
+ 0x57B0D256, 0x5D3E5236,
+ 0x571DEEF9, 0x5DC79D7C,
+ 0x568A34A9, 0x5E50015D,
+ 0x55F5A4D2, 0x5ED77C89,
+ 0x556040E2, 0x5F5E0DB3,
+ 0x54CA0A4A, 0x5FE3B38D,
+ 0x5433027D, 0x60686CCE,
+ 0x539B2AEF, 0x60EC3830,
+ 0x53028517, 0x616F146B,
+ 0x5269126E, 0x61F1003E,
+ 0x51CED46E, 0x6271FA69,
+ 0x5133CC94, 0x62F201AC,
+ 0x5097FC5E, 0x637114CC,
+ 0x4FFB654D, 0x63EF328F,
+ 0x4F5E08E3, 0x646C59BF,
+ 0x4EBFE8A4, 0x64E88926,
+ 0x4E210617, 0x6563BF92,
+ 0x4D8162C4, 0x65DDFBD3,
+ 0x4CE10034, 0x66573CBB,
+ 0x4C3FDFF3, 0x66CF811F,
+ 0x4B9E038F, 0x6746C7D7,
+ 0x4AFB6C97, 0x67BD0FBC,
+ 0x4A581C9D, 0x683257AA,
+ 0x49B41533, 0x68A69E81,
+ 0x490F57EE, 0x6919E320,
+ 0x4869E664, 0x698C246C,
+ 0x47C3C22E, 0x69FD614A,
+ 0x471CECE6, 0x6A6D98A4,
+ 0x46756827, 0x6ADCC964,
+ 0x45CD358F, 0x6B4AF278,
+ 0x452456BC, 0x6BB812D0,
+ 0x447ACD50, 0x6C242960,
+ 0x43D09AEC, 0x6C8F351C,
+ 0x4325C135, 0x6CF934FB,
+ 0x427A41D0, 0x6D6227FA,
+ 0x41CE1E64, 0x6DCA0D14,
+ 0x4121589A, 0x6E30E349,
+ 0x4073F21D, 0x6E96A99C,
+ 0x3FC5EC97, 0x6EFB5F12,
+ 0x3F1749B7, 0x6F5F02B1,
+ 0x3E680B2C, 0x6FC19385,
+ 0x3DB832A5, 0x70231099,
+ 0x3D07C1D5, 0x708378FE,
+ 0x3C56BA70, 0x70E2CBC6,
+ 0x3BA51E29, 0x71410804,
+ 0x3AF2EEB7, 0x719E2CD2,
+ 0x3A402DD1, 0x71FA3948,
+ 0x398CDD32, 0x72552C84,
+ 0x38D8FE93, 0x72AF05A6,
+ 0x382493B0, 0x7307C3D0,
+ 0x376F9E46, 0x735F6626,
+ 0x36BA2013, 0x73B5EBD0,
+ 0x36041AD9, 0x740B53FA,
+ 0x354D9056, 0x745F9DD1,
+ 0x3496824F, 0x74B2C883,
+ 0x33DEF287, 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, 0x7FFD885A,
+ 0xFDA4D928, 0x7FFA72D1,
+ 0xFCDBD541, 0x7FF62182,
+ 0xFC12D919, 0x7FF09477,
+ 0xFB49E6A2, 0x7FE9CBC0,
+ 0xFA80FFCB, 0x7FE1C76B,
+ 0xF9B82683, 0x7FD8878D,
+ 0xF8EF5CBB, 0x7FCE0C3E,
+ 0xF826A461, 0x7FC25596,
+ 0xF75DFF65, 0x7FB563B2,
+ 0xF6956FB6, 0x7FA736B4,
+ 0xF5CCF743, 0x7F97CEBC,
+ 0xF50497FA, 0x7F872BF3,
+ 0xF43C53CA, 0x7F754E7F,
+ 0xF3742CA1, 0x7F62368F,
+ 0xF2AC246D, 0x7F4DE450,
+ 0xF1E43D1C, 0x7F3857F5,
+ 0xF11C789A, 0x7F2191B4,
+ 0xF054D8D4, 0x7F0991C3,
+ 0xEF8D5FB8, 0x7EF0585F,
+ 0xEEC60F31, 0x7ED5E5C6,
+ 0xEDFEE92B, 0x7EBA3A39,
+ 0xED37EF91, 0x7E9D55FC,
+ 0xEC71244F, 0x7E7F3956,
+ 0xEBAA894E, 0x7E5FE493,
+ 0xEAE4207A, 0x7E3F57FE,
+ 0xEA1DEBBB, 0x7E1D93E9,
+ 0xE957ECFB, 0x7DFA98A7,
+ 0xE8922621, 0x7DD6668E,
+ 0xE7CC9917, 0x7DB0FDF7,
+ 0xE70747C3, 0x7D8A5F3F,
+ 0xE642340D, 0x7D628AC5,
+ 0xE57D5FDA, 0x7D3980EC,
+ 0xE4B8CD10, 0x7D0F4218,
+ 0xE3F47D95, 0x7CE3CEB1,
+ 0xE330734C, 0x7CB72724,
+ 0xE26CB01A, 0x7C894BDD,
+ 0xE1A935E1, 0x7C5A3D4F,
+ 0xE0E60684, 0x7C29FBEE,
+ 0xE02323E5, 0x7BF88830,
+ 0xDF608FE3, 0x7BC5E28F,
+ 0xDE9E4C60, 0x7B920B89,
+ 0xDDDC5B3A, 0x7B5D039D,
+ 0xDD1ABE51, 0x7B26CB4F,
+ 0xDC597781, 0x7AEF6323,
+ 0xDB9888A8, 0x7AB6CBA3,
+ 0xDAD7F3A2, 0x7A7D055B,
+ 0xDA17BA4A, 0x7A4210D8,
+ 0xD957DE7A, 0x7A05EEAD,
+ 0xD898620C, 0x79C89F6D,
+ 0xD7D946D7, 0x798A23B1,
+ 0xD71A8EB5, 0x794A7C11,
+ 0xD65C3B7B, 0x7909A92C,
+ 0xD59E4EFE, 0x78C7ABA1,
+ 0xD4E0CB14, 0x78848413,
+ 0xD423B190, 0x78403328,
+ 0xD3670445, 0x77FAB988,
+ 0xD2AAC504, 0x77B417DF,
+ 0xD1EEF59E, 0x776C4EDB,
+ 0xD13397E1, 0x77235F2D,
+ 0xD078AD9D, 0x76D94988,
+ 0xCFBE389F, 0x768E0EA5,
+ 0xCF043AB2, 0x7641AF3C,
+ 0xCE4AB5A2, 0x75F42C0A,
+ 0xCD91AB38, 0x75A585CF,
+ 0xCCD91D3D, 0x7555BD4B,
+ 0xCC210D78, 0x7504D345,
+ 0xCB697DB0, 0x74B2C883,
+ 0xCAB26FA9, 0x745F9DD1,
+ 0xC9FBE527, 0x740B53FA,
+ 0xC945DFEC, 0x73B5EBD0,
+ 0xC89061BA, 0x735F6626,
+ 0xC7DB6C50, 0x7307C3D0,
+ 0xC727016C, 0x72AF05A6,
+ 0xC67322CD, 0x72552C84,
+ 0xC5BFD22E, 0x71FA3948,
+ 0xC50D1148, 0x719E2CD2,
+ 0xC45AE1D7, 0x71410804,
+ 0xC3A9458F, 0x70E2CBC6,
+ 0xC2F83E2A, 0x708378FE,
+ 0xC247CD5A, 0x70231099,
+ 0xC197F4D3, 0x6FC19385,
+ 0xC0E8B648, 0x6F5F02B1,
+ 0xC03A1368, 0x6EFB5F12,
+ 0xBF8C0DE2, 0x6E96A99C,
+ 0xBEDEA765, 0x6E30E349,
+ 0xBE31E19B, 0x6DCA0D14,
+ 0xBD85BE2F, 0x6D6227FA,
+ 0xBCDA3ECA, 0x6CF934FB,
+ 0xBC2F6513, 0x6C8F351C,
+ 0xBB8532AF, 0x6C242960,
+ 0xBADBA943, 0x6BB812D0,
+ 0xBA32CA70, 0x6B4AF278,
+ 0xB98A97D8, 0x6ADCC964,
+ 0xB8E31319, 0x6A6D98A4,
+ 0xB83C3DD1, 0x69FD614A,
+ 0xB796199B, 0x698C246C,
+ 0xB6F0A811, 0x6919E320,
+ 0xB64BEACC, 0x68A69E81,
+ 0xB5A7E362, 0x683257AA,
+ 0xB5049368, 0x67BD0FBC,
+ 0xB461FC70, 0x6746C7D7,
+ 0xB3C0200C, 0x66CF811F,
+ 0xB31EFFCB, 0x66573CBB,
+ 0xB27E9D3B, 0x65DDFBD3,
+ 0xB1DEF9E8, 0x6563BF92,
+ 0xB140175B, 0x64E88926,
+ 0xB0A1F71C, 0x646C59BF,
+ 0xB0049AB2, 0x63EF328F,
+ 0xAF6803A1, 0x637114CC,
+ 0xAECC336B, 0x62F201AC,
+ 0xAE312B91, 0x6271FA69,
+ 0xAD96ED91, 0x61F1003E,
+ 0xACFD7AE8, 0x616F146B,
+ 0xAC64D510, 0x60EC3830,
+ 0xABCCFD82, 0x60686CCE,
+ 0xAB35F5B5, 0x5FE3B38D,
+ 0xAA9FBF1D, 0x5F5E0DB3,
+ 0xAA0A5B2D, 0x5ED77C89,
+ 0xA975CB56, 0x5E50015D,
+ 0xA8E21106, 0x5DC79D7C,
+ 0xA84F2DA9, 0x5D3E5236,
+ 0xA7BD22AB, 0x5CB420DF,
+ 0xA72BF173, 0x5C290ACC,
+ 0xA69B9B68, 0x5B9D1153,
+ 0xA60C21ED, 0x5B1035CF,
+ 0xA57D8666, 0x5A82799A,
+ 0xA4EFCA31, 0x59F3DE12,
+ 0xA462EEAC, 0x59646497,
+ 0xA3D6F533, 0x58D40E8C,
+ 0xA34BDF20, 0x5842DD54,
+ 0xA2C1ADC9, 0x57B0D256,
+ 0xA2386283, 0x571DEEF9,
+ 0xA1AFFEA2, 0x568A34A9,
+ 0xA1288376, 0x55F5A4D2,
+ 0xA0A1F24C, 0x556040E2,
+ 0xA01C4C72, 0x54CA0A4A,
+ 0x9F979331, 0x5433027D,
+ 0x9F13C7D0, 0x539B2AEF,
+ 0x9E90EB94, 0x53028517,
+ 0x9E0EFFC1, 0x5269126E,
+ 0x9D8E0596, 0x51CED46E,
+ 0x9D0DFE53, 0x5133CC94,
+ 0x9C8EEB33, 0x5097FC5E,
+ 0x9C10CD70, 0x4FFB654D,
+ 0x9B93A640, 0x4F5E08E3,
+ 0x9B1776D9, 0x4EBFE8A4,
+ 0x9A9C406D, 0x4E210617,
+ 0x9A22042C, 0x4D8162C4,
+ 0x99A8C344, 0x4CE10034,
+ 0x99307EE0, 0x4C3FDFF3,
+ 0x98B93828, 0x4B9E038F,
+ 0x9842F043, 0x4AFB6C97,
+ 0x97CDA855, 0x4A581C9D,
+ 0x9759617E, 0x49B41533,
+ 0x96E61CDF, 0x490F57EE,
+ 0x9673DB94, 0x4869E664,
+ 0x96029EB5, 0x47C3C22E,
+ 0x9592675B, 0x471CECE6,
+ 0x9523369B, 0x46756827,
+ 0x94B50D87, 0x45CD358F,
+ 0x9447ED2F, 0x452456BC,
+ 0x93DBD69F, 0x447ACD50,
+ 0x9370CAE4, 0x43D09AEC,
+ 0x9306CB04, 0x4325C135,
+ 0x929DD805, 0x427A41D0,
+ 0x9235F2EB, 0x41CE1E64,
+ 0x91CF1CB6, 0x4121589A,
+ 0x91695663, 0x4073F21D,
+ 0x9104A0ED, 0x3FC5EC97,
+ 0x90A0FD4E, 0x3F1749B7,
+ 0x903E6C7A, 0x3E680B2C,
+ 0x8FDCEF66, 0x3DB832A5,
+ 0x8F7C8701, 0x3D07C1D5,
+ 0x8F1D343A, 0x3C56BA70,
+ 0x8EBEF7FB, 0x3BA51E29,
+ 0x8E61D32D, 0x3AF2EEB7,
+ 0x8E05C6B7, 0x3A402DD1,
+ 0x8DAAD37B, 0x398CDD32,
+ 0x8D50FA59, 0x38D8FE93,
+ 0x8CF83C30, 0x382493B0,
+ 0x8CA099D9, 0x376F9E46,
+ 0x8C4A142F, 0x36BA2013,
+ 0x8BF4AC05, 0x36041AD9,
+ 0x8BA0622F, 0x354D9056,
+ 0x8B4D377C, 0x3496824F,
+ 0x8AFB2CBA, 0x33DEF287,
+ 0x8AAA42B4, 0x3326E2C2,
+ 0x8A5A7A30, 0x326E54C7,
+ 0x8A0BD3F5, 0x31B54A5D,
+ 0x89BE50C3, 0x30FBC54D,
+ 0x8971F15A, 0x3041C760,
+ 0x8926B677, 0x2F875262,
+ 0x88DCA0D3, 0x2ECC681E,
+ 0x8893B124, 0x2E110A62,
+ 0x884BE820, 0x2D553AFB,
+ 0x88054677, 0x2C98FBBA,
+ 0x87BFCCD7, 0x2BDC4E6F,
+ 0x877B7BEC, 0x2B1F34EB,
+ 0x8738545E, 0x2A61B101,
+ 0x86F656D3, 0x29A3C484,
+ 0x86B583EE, 0x28E5714A,
+ 0x8675DC4E, 0x2826B928,
+ 0x86376092, 0x27679DF4,
+ 0x85FA1152, 0x26A82185,
+ 0x85BDEF27, 0x25E845B5,
+ 0x8582FAA4, 0x25280C5D,
+ 0x8549345C, 0x24677757,
+ 0x85109CDC, 0x23A6887E,
+ 0x84D934B0, 0x22E541AE,
+ 0x84A2FC62, 0x2223A4C5,
+ 0x846DF476, 0x2161B39F,
+ 0x843A1D70, 0x209F701C,
+ 0x840777CF, 0x1FDCDC1A,
+ 0x83D60411, 0x1F19F97B,
+ 0x83A5C2B0, 0x1E56CA1E,
+ 0x8376B422, 0x1D934FE5,
+ 0x8348D8DB, 0x1CCF8CB3,
+ 0x831C314E, 0x1C0B826A,
+ 0x82F0BDE8, 0x1B4732EF,
+ 0x82C67F13, 0x1A82A025,
+ 0x829D753A, 0x19BDCBF2,
+ 0x8275A0C0, 0x18F8B83C,
+ 0x824F0208, 0x183366E8,
+ 0x82299971, 0x176DD9DE,
+ 0x82056758, 0x16A81305,
+ 0x81E26C16, 0x15E21444,
+ 0x81C0A801, 0x151BDF85,
+ 0x81A01B6C, 0x145576B1,
+ 0x8180C6A9, 0x138EDBB0,
+ 0x8162AA03, 0x12C8106E,
+ 0x8145C5C6, 0x120116D4,
+ 0x812A1A39, 0x1139F0CE,
+ 0x810FA7A0, 0x1072A047,
+ 0x80F66E3C, 0x0FAB272B,
+ 0x80DE6E4C, 0x0EE38765,
+ 0x80C7A80A, 0x0E1BC2E3,
+ 0x80B21BAF, 0x0D53DB92,
+ 0x809DC970, 0x0C8BD35E,
+ 0x808AB180, 0x0BC3AC35,
+ 0x8078D40D, 0x0AFB6805,
+ 0x80683143, 0x0A3308BC,
+ 0x8058C94C, 0x096A9049,
+ 0x804A9C4D, 0x08A2009A,
+ 0x803DAA69, 0x07D95B9E,
+ 0x8031F3C1, 0x0710A344,
+ 0x80277872, 0x0647D97C,
+ 0x801E3894, 0x057F0034,
+ 0x80163440, 0x04B6195D,
+ 0x800F6B88, 0x03ED26E6,
+ 0x8009DE7D, 0x03242ABF,
+ 0x80058D2E, 0x025B26D7,
+ 0x800277A5, 0x01921D1F,
+ 0x80009DE9, 0x00C90F88,
+ 0x80000000, 0x00000000,
+ 0x80009DE9, 0xFF36F078,
+ 0x800277A5, 0xFE6DE2E0,
+ 0x80058D2E, 0xFDA4D928,
+ 0x8009DE7D, 0xFCDBD541,
+ 0x800F6B88, 0xFC12D919,
+ 0x80163440, 0xFB49E6A2,
+ 0x801E3894, 0xFA80FFCB,
+ 0x80277872, 0xF9B82683,
+ 0x8031F3C1, 0xF8EF5CBB,
+ 0x803DAA69, 0xF826A461,
+ 0x804A9C4D, 0xF75DFF65,
+ 0x8058C94C, 0xF6956FB6,
+ 0x80683143, 0xF5CCF743,
+ 0x8078D40D, 0xF50497FA,
+ 0x808AB180, 0xF43C53CA,
+ 0x809DC970, 0xF3742CA1,
+ 0x80B21BAF, 0xF2AC246D,
+ 0x80C7A80A, 0xF1E43D1C,
+ 0x80DE6E4C, 0xF11C789A,
+ 0x80F66E3C, 0xF054D8D4,
+ 0x810FA7A0, 0xEF8D5FB8,
+ 0x812A1A39, 0xEEC60F31,
+ 0x8145C5C6, 0xEDFEE92B,
+ 0x8162AA03, 0xED37EF91,
+ 0x8180C6A9, 0xEC71244F,
+ 0x81A01B6C, 0xEBAA894E,
+ 0x81C0A801, 0xEAE4207A,
+ 0x81E26C16, 0xEA1DEBBB,
+ 0x82056758, 0xE957ECFB,
+ 0x82299971, 0xE8922621,
+ 0x824F0208, 0xE7CC9917,
+ 0x8275A0C0, 0xE70747C3,
+ 0x829D753A, 0xE642340D,
+ 0x82C67F13, 0xE57D5FDA,
+ 0x82F0BDE8, 0xE4B8CD10,
+ 0x831C314E, 0xE3F47D95,
+ 0x8348D8DB, 0xE330734C,
+ 0x8376B422, 0xE26CB01A,
+ 0x83A5C2B0, 0xE1A935E1,
+ 0x83D60411, 0xE0E60684,
+ 0x840777CF, 0xE02323E5,
+ 0x843A1D70, 0xDF608FE3,
+ 0x846DF476, 0xDE9E4C60,
+ 0x84A2FC62, 0xDDDC5B3A,
+ 0x84D934B0, 0xDD1ABE51,
+ 0x85109CDC, 0xDC597781,
+ 0x8549345C, 0xDB9888A8,
+ 0x8582FAA4, 0xDAD7F3A2,
+ 0x85BDEF27, 0xDA17BA4A,
+ 0x85FA1152, 0xD957DE7A,
+ 0x86376092, 0xD898620C,
+ 0x8675DC4E, 0xD7D946D7,
+ 0x86B583EE, 0xD71A8EB5,
+ 0x86F656D3, 0xD65C3B7B,
+ 0x8738545E, 0xD59E4EFE,
+ 0x877B7BEC, 0xD4E0CB14,
+ 0x87BFCCD7, 0xD423B190,
+ 0x88054677, 0xD3670445,
+ 0x884BE820, 0xD2AAC504,
+ 0x8893B124, 0xD1EEF59E,
+ 0x88DCA0D3, 0xD13397E1,
+ 0x8926B677, 0xD078AD9D,
+ 0x8971F15A, 0xCFBE389F,
+ 0x89BE50C3, 0xCF043AB2,
+ 0x8A0BD3F5, 0xCE4AB5A2,
+ 0x8A5A7A30, 0xCD91AB38,
+ 0x8AAA42B4, 0xCCD91D3D,
+ 0x8AFB2CBA, 0xCC210D78,
+ 0x8B4D377C, 0xCB697DB0,
+ 0x8BA0622F, 0xCAB26FA9,
+ 0x8BF4AC05, 0xC9FBE527,
+ 0x8C4A142F, 0xC945DFEC,
+ 0x8CA099D9, 0xC89061BA,
+ 0x8CF83C30, 0xC7DB6C50,
+ 0x8D50FA59, 0xC727016C,
+ 0x8DAAD37B, 0xC67322CD,
+ 0x8E05C6B7, 0xC5BFD22E,
+ 0x8E61D32D, 0xC50D1148,
+ 0x8EBEF7FB, 0xC45AE1D7,
+ 0x8F1D343A, 0xC3A9458F,
+ 0x8F7C8701, 0xC2F83E2A,
+ 0x8FDCEF66, 0xC247CD5A,
+ 0x903E6C7A, 0xC197F4D3,
+ 0x90A0FD4E, 0xC0E8B648,
+ 0x9104A0ED, 0xC03A1368,
+ 0x91695663, 0xBF8C0DE2,
+ 0x91CF1CB6, 0xBEDEA765,
+ 0x9235F2EB, 0xBE31E19B,
+ 0x929DD805, 0xBD85BE2F,
+ 0x9306CB04, 0xBCDA3ECA,
+ 0x9370CAE4, 0xBC2F6513,
+ 0x93DBD69F, 0xBB8532AF,
+ 0x9447ED2F, 0xBADBA943,
+ 0x94B50D87, 0xBA32CA70,
+ 0x9523369B, 0xB98A97D8,
+ 0x9592675B, 0xB8E31319,
+ 0x96029EB5, 0xB83C3DD1,
+ 0x9673DB94, 0xB796199B,
+ 0x96E61CDF, 0xB6F0A811,
+ 0x9759617E, 0xB64BEACC,
+ 0x97CDA855, 0xB5A7E362,
+ 0x9842F043, 0xB5049368,
+ 0x98B93828, 0xB461FC70,
+ 0x99307EE0, 0xB3C0200C,
+ 0x99A8C344, 0xB31EFFCB,
+ 0x9A22042C, 0xB27E9D3B,
+ 0x9A9C406D, 0xB1DEF9E8,
+ 0x9B1776D9, 0xB140175B,
+ 0x9B93A640, 0xB0A1F71C,
+ 0x9C10CD70, 0xB0049AB2,
+ 0x9C8EEB33, 0xAF6803A1,
+ 0x9D0DFE53, 0xAECC336B,
+ 0x9D8E0596, 0xAE312B91,
+ 0x9E0EFFC1, 0xAD96ED91,
+ 0x9E90EB94, 0xACFD7AE8,
+ 0x9F13C7D0, 0xAC64D510,
+ 0x9F979331, 0xABCCFD82,
+ 0xA01C4C72, 0xAB35F5B5,
+ 0xA0A1F24C, 0xAA9FBF1D,
+ 0xA1288376, 0xAA0A5B2D,
+ 0xA1AFFEA2, 0xA975CB56,
+ 0xA2386283, 0xA8E21106,
+ 0xA2C1ADC9, 0xA84F2DA9,
+ 0xA34BDF20, 0xA7BD22AB,
+ 0xA3D6F533, 0xA72BF173,
+ 0xA462EEAC, 0xA69B9B68,
+ 0xA4EFCA31, 0xA60C21ED,
+ 0xA57D8666, 0xA57D8666,
+ 0xA60C21ED, 0xA4EFCA31,
+ 0xA69B9B68, 0xA462EEAC,
+ 0xA72BF173, 0xA3D6F533,
+ 0xA7BD22AB, 0xA34BDF20,
+ 0xA84F2DA9, 0xA2C1ADC9,
+ 0xA8E21106, 0xA2386283,
+ 0xA975CB56, 0xA1AFFEA2,
+ 0xAA0A5B2D, 0xA1288376,
+ 0xAA9FBF1D, 0xA0A1F24C,
+ 0xAB35F5B5, 0xA01C4C72,
+ 0xABCCFD82, 0x9F979331,
+ 0xAC64D510, 0x9F13C7D0,
+ 0xACFD7AE8, 0x9E90EB94,
+ 0xAD96ED91, 0x9E0EFFC1,
+ 0xAE312B91, 0x9D8E0596,
+ 0xAECC336B, 0x9D0DFE53,
+ 0xAF6803A1, 0x9C8EEB33,
+ 0xB0049AB2, 0x9C10CD70,
+ 0xB0A1F71C, 0x9B93A640,
+ 0xB140175B, 0x9B1776D9,
+ 0xB1DEF9E8, 0x9A9C406D,
+ 0xB27E9D3B, 0x9A22042C,
+ 0xB31EFFCB, 0x99A8C344,
+ 0xB3C0200C, 0x99307EE0,
+ 0xB461FC70, 0x98B93828,
+ 0xB5049368, 0x9842F043,
+ 0xB5A7E362, 0x97CDA855,
+ 0xB64BEACC, 0x9759617E,
+ 0xB6F0A811, 0x96E61CDF,
+ 0xB796199B, 0x9673DB94,
+ 0xB83C3DD1, 0x96029EB5,
+ 0xB8E31319, 0x9592675B,
+ 0xB98A97D8, 0x9523369B,
+ 0xBA32CA70, 0x94B50D87,
+ 0xBADBA943, 0x9447ED2F,
+ 0xBB8532AF, 0x93DBD69F,
+ 0xBC2F6513, 0x9370CAE4,
+ 0xBCDA3ECA, 0x9306CB04,
+ 0xBD85BE2F, 0x929DD805,
+ 0xBE31E19B, 0x9235F2EB,
+ 0xBEDEA765, 0x91CF1CB6,
+ 0xBF8C0DE2, 0x91695663,
+ 0xC03A1368, 0x9104A0ED,
+ 0xC0E8B648, 0x90A0FD4E,
+ 0xC197F4D3, 0x903E6C7A,
+ 0xC247CD5A, 0x8FDCEF66,
+ 0xC2F83E2A, 0x8F7C8701,
+ 0xC3A9458F, 0x8F1D343A,
+ 0xC45AE1D7, 0x8EBEF7FB,
+ 0xC50D1148, 0x8E61D32D,
+ 0xC5BFD22E, 0x8E05C6B7,
+ 0xC67322CD, 0x8DAAD37B,
+ 0xC727016C, 0x8D50FA59,
+ 0xC7DB6C50, 0x8CF83C30,
+ 0xC89061BA, 0x8CA099D9,
+ 0xC945DFEC, 0x8C4A142F,
+ 0xC9FBE527, 0x8BF4AC05,
+ 0xCAB26FA9, 0x8BA0622F,
+ 0xCB697DB0, 0x8B4D377C,
+ 0xCC210D78, 0x8AFB2CBA,
+ 0xCCD91D3D, 0x8AAA42B4,
+ 0xCD91AB38, 0x8A5A7A30,
+ 0xCE4AB5A2, 0x8A0BD3F5,
+ 0xCF043AB2, 0x89BE50C3,
+ 0xCFBE389F, 0x8971F15A,
+ 0xD078AD9D, 0x8926B677,
+ 0xD13397E1, 0x88DCA0D3,
+ 0xD1EEF59E, 0x8893B124,
+ 0xD2AAC504, 0x884BE820,
+ 0xD3670445, 0x88054677,
+ 0xD423B190, 0x87BFCCD7,
+ 0xD4E0CB14, 0x877B7BEC,
+ 0xD59E4EFE, 0x8738545E,
+ 0xD65C3B7B, 0x86F656D3,
+ 0xD71A8EB5, 0x86B583EE,
+ 0xD7D946D7, 0x8675DC4E,
+ 0xD898620C, 0x86376092,
+ 0xD957DE7A, 0x85FA1152,
+ 0xDA17BA4A, 0x85BDEF27,
+ 0xDAD7F3A2, 0x8582FAA4,
+ 0xDB9888A8, 0x8549345C,
+ 0xDC597781, 0x85109CDC,
+ 0xDD1ABE51, 0x84D934B0,
+ 0xDDDC5B3A, 0x84A2FC62,
+ 0xDE9E4C60, 0x846DF476,
+ 0xDF608FE3, 0x843A1D70,
+ 0xE02323E5, 0x840777CF,
+ 0xE0E60684, 0x83D60411,
+ 0xE1A935E1, 0x83A5C2B0,
+ 0xE26CB01A, 0x8376B422,
+ 0xE330734C, 0x8348D8DB,
+ 0xE3F47D95, 0x831C314E,
+ 0xE4B8CD10, 0x82F0BDE8,
+ 0xE57D5FDA, 0x82C67F13,
+ 0xE642340D, 0x829D753A,
+ 0xE70747C3, 0x8275A0C0,
+ 0xE7CC9917, 0x824F0208,
+ 0xE8922621, 0x82299971,
+ 0xE957ECFB, 0x82056758,
+ 0xEA1DEBBB, 0x81E26C16,
+ 0xEAE4207A, 0x81C0A801,
+ 0xEBAA894E, 0x81A01B6C,
+ 0xEC71244F, 0x8180C6A9,
+ 0xED37EF91, 0x8162AA03,
+ 0xEDFEE92B, 0x8145C5C6,
+ 0xEEC60F31, 0x812A1A39,
+ 0xEF8D5FB8, 0x810FA7A0,
+ 0xF054D8D4, 0x80F66E3C,
+ 0xF11C789A, 0x80DE6E4C,
+ 0xF1E43D1C, 0x80C7A80A,
+ 0xF2AC246D, 0x80B21BAF,
+ 0xF3742CA1, 0x809DC970,
+ 0xF43C53CA, 0x808AB180,
+ 0xF50497FA, 0x8078D40D,
+ 0xF5CCF743, 0x80683143,
+ 0xF6956FB6, 0x8058C94C,
+ 0xF75DFF65, 0x804A9C4D,
+ 0xF826A461, 0x803DAA69,
+ 0xF8EF5CBB, 0x8031F3C1,
+ 0xF9B82683, 0x80277872,
+ 0xFA80FFCB, 0x801E3894,
+ 0xFB49E6A2, 0x80163440,
+ 0xFC12D919, 0x800F6B88,
+ 0xFCDBD541, 0x8009DE7D,
+ 0xFDA4D928, 0x80058D2E,
+ 0xFE6DE2E0, 0x800277A5,
+ 0xFF36F078, 0x80009DE9
+};
+
+/**
+* \par
+* Example code for Q31 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 2048 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to Q31(Fixed point 1.31):
+* round(twiddleCoefQ31(i) * pow(2, 31))
+*
+*/
+const q31_t twiddleCoef_2048_q31[3072] = {
+ 0x7FFFFFFF, 0x00000000,
+ 0x7FFFD885, 0x006487E3,
+ 0x7FFF6216, 0x00C90F88,
+ 0x7FFE9CB2, 0x012D96B0,
+ 0x7FFD885A, 0x01921D1F,
+ 0x7FFC250F, 0x01F6A296,
+ 0x7FFA72D1, 0x025B26D7,
+ 0x7FF871A1, 0x02BFA9A4,
+ 0x7FF62182, 0x03242ABF,
+ 0x7FF38273, 0x0388A9E9,
+ 0x7FF09477, 0x03ED26E6,
+ 0x7FED5790, 0x0451A176,
+ 0x7FE9CBC0, 0x04B6195D,
+ 0x7FE5F108, 0x051A8E5C,
+ 0x7FE1C76B, 0x057F0034,
+ 0x7FDD4EEC, 0x05E36EA9,
+ 0x7FD8878D, 0x0647D97C,
+ 0x7FD37152, 0x06AC406F,
+ 0x7FCE0C3E, 0x0710A344,
+ 0x7FC85853, 0x077501BE,
+ 0x7FC25596, 0x07D95B9E,
+ 0x7FBC040A, 0x083DB0A7,
+ 0x7FB563B2, 0x08A2009A,
+ 0x7FAE7494, 0x09064B3A,
+ 0x7FA736B4, 0x096A9049,
+ 0x7F9FAA15, 0x09CECF89,
+ 0x7F97CEBC, 0x0A3308BC,
+ 0x7F8FA4AF, 0x0A973BA5,
+ 0x7F872BF3, 0x0AFB6805,
+ 0x7F7E648B, 0x0B5F8D9F,
+ 0x7F754E7F, 0x0BC3AC35,
+ 0x7F6BE9D4, 0x0C27C389,
+ 0x7F62368F, 0x0C8BD35E,
+ 0x7F5834B6, 0x0CEFDB75,
+ 0x7F4DE450, 0x0D53DB92,
+ 0x7F434563, 0x0DB7D376,
+ 0x7F3857F5, 0x0E1BC2E3,
+ 0x7F2D1C0E, 0x0E7FA99D,
+ 0x7F2191B4, 0x0EE38765,
+ 0x7F15B8EE, 0x0F475BFE,
+ 0x7F0991C3, 0x0FAB272B,
+ 0x7EFD1C3C, 0x100EE8AD,
+ 0x7EF0585F, 0x1072A047,
+ 0x7EE34635, 0x10D64DBC,
+ 0x7ED5E5C6, 0x1139F0CE,
+ 0x7EC8371A, 0x119D8940,
+ 0x7EBA3A39, 0x120116D4,
+ 0x7EABEF2C, 0x1264994E,
+ 0x7E9D55FC, 0x12C8106E,
+ 0x7E8E6EB1, 0x132B7BF9,
+ 0x7E7F3956, 0x138EDBB0,
+ 0x7E6FB5F3, 0x13F22F57,
+ 0x7E5FE493, 0x145576B1,
+ 0x7E4FC53E, 0x14B8B17F,
+ 0x7E3F57FE, 0x151BDF85,
+ 0x7E2E9CDF, 0x157F0086,
+ 0x7E1D93E9, 0x15E21444,
+ 0x7E0C3D29, 0x16451A83,
+ 0x7DFA98A7, 0x16A81305,
+ 0x7DE8A670, 0x170AFD8D,
+ 0x7DD6668E, 0x176DD9DE,
+ 0x7DC3D90D, 0x17D0A7BB,
+ 0x7DB0FDF7, 0x183366E8,
+ 0x7D9DD55A, 0x18961727,
+ 0x7D8A5F3F, 0x18F8B83C,
+ 0x7D769BB5, 0x195B49E9,
+ 0x7D628AC5, 0x19BDCBF2,
+ 0x7D4E2C7E, 0x1A203E1B,
+ 0x7D3980EC, 0x1A82A025,
+ 0x7D24881A, 0x1AE4F1D6,
+ 0x7D0F4218, 0x1B4732EF,
+ 0x7CF9AEF0, 0x1BA96334,
+ 0x7CE3CEB1, 0x1C0B826A,
+ 0x7CCDA168, 0x1C6D9053,
+ 0x7CB72724, 0x1CCF8CB3,
+ 0x7CA05FF1, 0x1D31774D,
+ 0x7C894BDD, 0x1D934FE5,
+ 0x7C71EAF8, 0x1DF5163F,
+ 0x7C5A3D4F, 0x1E56CA1E,
+ 0x7C4242F2, 0x1EB86B46,
+ 0x7C29FBEE, 0x1F19F97B,
+ 0x7C116853, 0x1F7B7480,
+ 0x7BF88830, 0x1FDCDC1A,
+ 0x7BDF5B94, 0x203E300D,
+ 0x7BC5E28F, 0x209F701C,
+ 0x7BAC1D31, 0x21009C0B,
+ 0x7B920B89, 0x2161B39F,
+ 0x7B77ADA8, 0x21C2B69C,
+ 0x7B5D039D, 0x2223A4C5,
+ 0x7B420D7A, 0x22847DDF,
+ 0x7B26CB4F, 0x22E541AE,
+ 0x7B0B3D2C, 0x2345EFF7,
+ 0x7AEF6323, 0x23A6887E,
+ 0x7AD33D45, 0x24070B07,
+ 0x7AB6CBA3, 0x24677757,
+ 0x7A9A0E4F, 0x24C7CD32,
+ 0x7A7D055B, 0x25280C5D,
+ 0x7A5FB0D8, 0x2588349D,
+ 0x7A4210D8, 0x25E845B5,
+ 0x7A24256E, 0x26483F6C,
+ 0x7A05EEAD, 0x26A82185,
+ 0x79E76CA6, 0x2707EBC6,
+ 0x79C89F6D, 0x27679DF4,
+ 0x79A98715, 0x27C737D2,
+ 0x798A23B1, 0x2826B928,
+ 0x796A7554, 0x288621B9,
+ 0x794A7C11, 0x28E5714A,
+ 0x792A37FE, 0x2944A7A2,
+ 0x7909A92C, 0x29A3C484,
+ 0x78E8CFB1, 0x2A02C7B8,
+ 0x78C7ABA1, 0x2A61B101,
+ 0x78A63D10, 0x2AC08025,
+ 0x78848413, 0x2B1F34EB,
+ 0x786280BF, 0x2B7DCF17,
+ 0x78403328, 0x2BDC4E6F,
+ 0x781D9B64, 0x2C3AB2B9,
+ 0x77FAB988, 0x2C98FBBA,
+ 0x77D78DAA, 0x2CF72939,
+ 0x77B417DF, 0x2D553AFB,
+ 0x7790583D, 0x2DB330C7,
+ 0x776C4EDB, 0x2E110A62,
+ 0x7747FBCE, 0x2E6EC792,
+ 0x77235F2D, 0x2ECC681E,
+ 0x76FE790E, 0x2F29EBCC,
+ 0x76D94988, 0x2F875262,
+ 0x76B3D0B3, 0x2FE49BA6,
+ 0x768E0EA5, 0x3041C760,
+ 0x76680376, 0x309ED555,
+ 0x7641AF3C, 0x30FBC54D,
+ 0x761B1211, 0x3158970D,
+ 0x75F42C0A, 0x31B54A5D,
+ 0x75CCFD42, 0x3211DF03,
+ 0x75A585CF, 0x326E54C7,
+ 0x757DC5CA, 0x32CAAB6F,
+ 0x7555BD4B, 0x3326E2C2,
+ 0x752D6C6C, 0x3382FA88,
+ 0x7504D345, 0x33DEF287,
+ 0x74DBF1EF, 0x343ACA87,
+ 0x74B2C883, 0x3496824F,
+ 0x7489571B, 0x34F219A7,
+ 0x745F9DD1, 0x354D9056,
+ 0x74359CBD, 0x35A8E624,
+ 0x740B53FA, 0x36041AD9,
+ 0x73E0C3A3, 0x365F2E3B,
+ 0x73B5EBD0, 0x36BA2013,
+ 0x738ACC9E, 0x3714F02A,
+ 0x735F6626, 0x376F9E46,
+ 0x7333B883, 0x37CA2A30,
+ 0x7307C3D0, 0x382493B0,
+ 0x72DB8828, 0x387EDA8E,
+ 0x72AF05A6, 0x38D8FE93,
+ 0x72823C66, 0x3932FF87,
+ 0x72552C84, 0x398CDD32,
+ 0x7227D61C, 0x39E6975D,
+ 0x71FA3948, 0x3A402DD1,
+ 0x71CC5626, 0x3A99A057,
+ 0x719E2CD2, 0x3AF2EEB7,
+ 0x716FBD68, 0x3B4C18BA,
+ 0x71410804, 0x3BA51E29,
+ 0x71120CC5, 0x3BFDFECD,
+ 0x70E2CBC6, 0x3C56BA70,
+ 0x70B34524, 0x3CAF50DA,
+ 0x708378FE, 0x3D07C1D5,
+ 0x70536771, 0x3D600D2B,
+ 0x70231099, 0x3DB832A5,
+ 0x6FF27496, 0x3E10320D,
+ 0x6FC19385, 0x3E680B2C,
+ 0x6F906D84, 0x3EBFBDCC,
+ 0x6F5F02B1, 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, 0x5B1035CF,
+ 0x59AC3CFD, 0x5B56BFBD,
+ 0x59646497, 0x5B9D1153,
+ 0x591C550E, 0x5BE32A67,
+ 0x58D40E8C, 0x5C290ACC,
+ 0x588B913F, 0x5C6EB258,
+ 0x5842DD54, 0x5CB420DF,
+ 0x57F9F2F7, 0x5CF95638,
+ 0x57B0D256, 0x5D3E5236,
+ 0x57677B9D, 0x5D8314B0,
+ 0x571DEEF9, 0x5DC79D7C,
+ 0x56D42C99, 0x5E0BEC6E,
+ 0x568A34A9, 0x5E50015D,
+ 0x56400757, 0x5E93DC1F,
+ 0x55F5A4D2, 0x5ED77C89,
+ 0x55AB0D46, 0x5F1AE273,
+ 0x556040E2, 0x5F5E0DB3,
+ 0x55153FD4, 0x5FA0FE1E,
+ 0x54CA0A4A, 0x5FE3B38D,
+ 0x547EA073, 0x60262DD5,
+ 0x5433027D, 0x60686CCE,
+ 0x53E73097, 0x60AA704F,
+ 0x539B2AEF, 0x60EC3830,
+ 0x534EF1B5, 0x612DC446,
+ 0x53028517, 0x616F146B,
+ 0x52B5E545, 0x61B02876,
+ 0x5269126E, 0x61F1003E,
+ 0x521C0CC1, 0x62319B9D,
+ 0x51CED46E, 0x6271FA69,
+ 0x518169A4, 0x62B21C7B,
+ 0x5133CC94, 0x62F201AC,
+ 0x50E5FD6C, 0x6331A9D4,
+ 0x5097FC5E, 0x637114CC,
+ 0x5049C999, 0x63B0426D,
+ 0x4FFB654D, 0x63EF328F,
+ 0x4FACCFAB, 0x642DE50D,
+ 0x4F5E08E3, 0x646C59BF,
+ 0x4F0F1126, 0x64AA907F,
+ 0x4EBFE8A4, 0x64E88926,
+ 0x4E708F8F, 0x6526438E,
+ 0x4E210617, 0x6563BF92,
+ 0x4DD14C6E, 0x65A0FD0B,
+ 0x4D8162C4, 0x65DDFBD3,
+ 0x4D31494B, 0x661ABBC5,
+ 0x4CE10034, 0x66573CBB,
+ 0x4C9087B1, 0x66937E90,
+ 0x4C3FDFF3, 0x66CF811F,
+ 0x4BEF092D, 0x670B4443,
+ 0x4B9E038F, 0x6746C7D7,
+ 0x4B4CCF4D, 0x67820BB6,
+ 0x4AFB6C97, 0x67BD0FBC,
+ 0x4AA9DBA1, 0x67F7D3C4,
+ 0x4A581C9D, 0x683257AA,
+ 0x4A062FBD, 0x686C9B4B,
+ 0x49B41533, 0x68A69E81,
+ 0x4961CD32, 0x68E06129,
+ 0x490F57EE, 0x6919E320,
+ 0x48BCB598, 0x69532442,
+ 0x4869E664, 0x698C246C,
+ 0x4816EA85, 0x69C4E37A,
+ 0x47C3C22E, 0x69FD614A,
+ 0x47706D93, 0x6A359DB9,
+ 0x471CECE6, 0x6A6D98A4,
+ 0x46C9405C, 0x6AA551E8,
+ 0x46756827, 0x6ADCC964,
+ 0x4621647C, 0x6B13FEF5,
+ 0x45CD358F, 0x6B4AF278,
+ 0x4578DB93, 0x6B81A3CD,
+ 0x452456BC, 0x6BB812D0,
+ 0x44CFA73F, 0x6BEE3F62,
+ 0x447ACD50, 0x6C242960,
+ 0x4425C923, 0x6C59D0A9,
+ 0x43D09AEC, 0x6C8F351C,
+ 0x437B42E1, 0x6CC45697,
+ 0x4325C135, 0x6CF934FB,
+ 0x42D0161E, 0x6D2DD027,
+ 0x427A41D0, 0x6D6227FA,
+ 0x42244480, 0x6D963C54,
+ 0x41CE1E64, 0x6DCA0D14,
+ 0x4177CFB0, 0x6DFD9A1B,
+ 0x4121589A, 0x6E30E349,
+ 0x40CAB957, 0x6E63E87F,
+ 0x4073F21D, 0x6E96A99C,
+ 0x401D0320, 0x6EC92682,
+ 0x3FC5EC97, 0x6EFB5F12,
+ 0x3F6EAEB8, 0x6F2D532C,
+ 0x3F1749B7, 0x6F5F02B1,
+ 0x3EBFBDCC, 0x6F906D84,
+ 0x3E680B2C, 0x6FC19385,
+ 0x3E10320D, 0x6FF27496,
+ 0x3DB832A5, 0x70231099,
+ 0x3D600D2B, 0x70536771,
+ 0x3D07C1D5, 0x708378FE,
+ 0x3CAF50DA, 0x70B34524,
+ 0x3C56BA70, 0x70E2CBC6,
+ 0x3BFDFECD, 0x71120CC5,
+ 0x3BA51E29, 0x71410804,
+ 0x3B4C18BA, 0x716FBD68,
+ 0x3AF2EEB7, 0x719E2CD2,
+ 0x3A99A057, 0x71CC5626,
+ 0x3A402DD1, 0x71FA3948,
+ 0x39E6975D, 0x7227D61C,
+ 0x398CDD32, 0x72552C84,
+ 0x3932FF87, 0x72823C66,
+ 0x38D8FE93, 0x72AF05A6,
+ 0x387EDA8E, 0x72DB8828,
+ 0x382493B0, 0x7307C3D0,
+ 0x37CA2A30, 0x7333B883,
+ 0x376F9E46, 0x735F6626,
+ 0x3714F02A, 0x738ACC9E,
+ 0x36BA2013, 0x73B5EBD0,
+ 0x365F2E3B, 0x73E0C3A3,
+ 0x36041AD9, 0x740B53FA,
+ 0x35A8E624, 0x74359CBD,
+ 0x354D9056, 0x745F9DD1,
+ 0x34F219A7, 0x7489571B,
+ 0x3496824F, 0x74B2C883,
+ 0x343ACA87, 0x74DBF1EF,
+ 0x33DEF287, 0x7504D345,
+ 0x3382FA88, 0x752D6C6C,
+ 0x3326E2C2, 0x7555BD4B,
+ 0x32CAAB6F, 0x757DC5CA,
+ 0x326E54C7, 0x75A585CF,
+ 0x3211DF03, 0x75CCFD42,
+ 0x31B54A5D, 0x75F42C0A,
+ 0x3158970D, 0x761B1211,
+ 0x30FBC54D, 0x7641AF3C,
+ 0x309ED555, 0x76680376,
+ 0x3041C760, 0x768E0EA5,
+ 0x2FE49BA6, 0x76B3D0B3,
+ 0x2F875262, 0x76D94988,
+ 0x2F29EBCC, 0x76FE790E,
+ 0x2ECC681E, 0x77235F2D,
+ 0x2E6EC792, 0x7747FBCE,
+ 0x2E110A62, 0x776C4EDB,
+ 0x2DB330C7, 0x7790583D,
+ 0x2D553AFB, 0x77B417DF,
+ 0x2CF72939, 0x77D78DAA,
+ 0x2C98FBBA, 0x77FAB988,
+ 0x2C3AB2B9, 0x781D9B64,
+ 0x2BDC4E6F, 0x78403328,
+ 0x2B7DCF17, 0x786280BF,
+ 0x2B1F34EB, 0x78848413,
+ 0x2AC08025, 0x78A63D10,
+ 0x2A61B101, 0x78C7ABA1,
+ 0x2A02C7B8, 0x78E8CFB1,
+ 0x29A3C484, 0x7909A92C,
+ 0x2944A7A2, 0x792A37FE,
+ 0x28E5714A, 0x794A7C11,
+ 0x288621B9, 0x796A7554,
+ 0x2826B928, 0x798A23B1,
+ 0x27C737D2, 0x79A98715,
+ 0x27679DF4, 0x79C89F6D,
+ 0x2707EBC6, 0x79E76CA6,
+ 0x26A82185, 0x7A05EEAD,
+ 0x26483F6C, 0x7A24256E,
+ 0x25E845B5, 0x7A4210D8,
+ 0x2588349D, 0x7A5FB0D8,
+ 0x25280C5D, 0x7A7D055B,
+ 0x24C7CD32, 0x7A9A0E4F,
+ 0x24677757, 0x7AB6CBA3,
+ 0x24070B07, 0x7AD33D45,
+ 0x23A6887E, 0x7AEF6323,
+ 0x2345EFF7, 0x7B0B3D2C,
+ 0x22E541AE, 0x7B26CB4F,
+ 0x22847DDF, 0x7B420D7A,
+ 0x2223A4C5, 0x7B5D039D,
+ 0x21C2B69C, 0x7B77ADA8,
+ 0x2161B39F, 0x7B920B89,
+ 0x21009C0B, 0x7BAC1D31,
+ 0x209F701C, 0x7BC5E28F,
+ 0x203E300D, 0x7BDF5B94,
+ 0x1FDCDC1A, 0x7BF88830,
+ 0x1F7B7480, 0x7C116853,
+ 0x1F19F97B, 0x7C29FBEE,
+ 0x1EB86B46, 0x7C4242F2,
+ 0x1E56CA1E, 0x7C5A3D4F,
+ 0x1DF5163F, 0x7C71EAF8,
+ 0x1D934FE5, 0x7C894BDD,
+ 0x1D31774D, 0x7CA05FF1,
+ 0x1CCF8CB3, 0x7CB72724,
+ 0x1C6D9053, 0x7CCDA168,
+ 0x1C0B826A, 0x7CE3CEB1,
+ 0x1BA96334, 0x7CF9AEF0,
+ 0x1B4732EF, 0x7D0F4218,
+ 0x1AE4F1D6, 0x7D24881A,
+ 0x1A82A025, 0x7D3980EC,
+ 0x1A203E1B, 0x7D4E2C7E,
+ 0x19BDCBF2, 0x7D628AC5,
+ 0x195B49E9, 0x7D769BB5,
+ 0x18F8B83C, 0x7D8A5F3F,
+ 0x18961727, 0x7D9DD55A,
+ 0x183366E8, 0x7DB0FDF7,
+ 0x17D0A7BB, 0x7DC3D90D,
+ 0x176DD9DE, 0x7DD6668E,
+ 0x170AFD8D, 0x7DE8A670,
+ 0x16A81305, 0x7DFA98A7,
+ 0x16451A83, 0x7E0C3D29,
+ 0x15E21444, 0x7E1D93E9,
+ 0x157F0086, 0x7E2E9CDF,
+ 0x151BDF85, 0x7E3F57FE,
+ 0x14B8B17F, 0x7E4FC53E,
+ 0x145576B1, 0x7E5FE493,
+ 0x13F22F57, 0x7E6FB5F3,
+ 0x138EDBB0, 0x7E7F3956,
+ 0x132B7BF9, 0x7E8E6EB1,
+ 0x12C8106E, 0x7E9D55FC,
+ 0x1264994E, 0x7EABEF2C,
+ 0x120116D4, 0x7EBA3A39,
+ 0x119D8940, 0x7EC8371A,
+ 0x1139F0CE, 0x7ED5E5C6,
+ 0x10D64DBC, 0x7EE34635,
+ 0x1072A047, 0x7EF0585F,
+ 0x100EE8AD, 0x7EFD1C3C,
+ 0x0FAB272B, 0x7F0991C3,
+ 0x0F475BFE, 0x7F15B8EE,
+ 0x0EE38765, 0x7F2191B4,
+ 0x0E7FA99D, 0x7F2D1C0E,
+ 0x0E1BC2E3, 0x7F3857F5,
+ 0x0DB7D376, 0x7F434563,
+ 0x0D53DB92, 0x7F4DE450,
+ 0x0CEFDB75, 0x7F5834B6,
+ 0x0C8BD35E, 0x7F62368F,
+ 0x0C27C389, 0x7F6BE9D4,
+ 0x0BC3AC35, 0x7F754E7F,
+ 0x0B5F8D9F, 0x7F7E648B,
+ 0x0AFB6805, 0x7F872BF3,
+ 0x0A973BA5, 0x7F8FA4AF,
+ 0x0A3308BC, 0x7F97CEBC,
+ 0x09CECF89, 0x7F9FAA15,
+ 0x096A9049, 0x7FA736B4,
+ 0x09064B3A, 0x7FAE7494,
+ 0x08A2009A, 0x7FB563B2,
+ 0x083DB0A7, 0x7FBC040A,
+ 0x07D95B9E, 0x7FC25596,
+ 0x077501BE, 0x7FC85853,
+ 0x0710A344, 0x7FCE0C3E,
+ 0x06AC406F, 0x7FD37152,
+ 0x0647D97C, 0x7FD8878D,
+ 0x05E36EA9, 0x7FDD4EEC,
+ 0x057F0034, 0x7FE1C76B,
+ 0x051A8E5C, 0x7FE5F108,
+ 0x04B6195D, 0x7FE9CBC0,
+ 0x0451A176, 0x7FED5790,
+ 0x03ED26E6, 0x7FF09477,
+ 0x0388A9E9, 0x7FF38273,
+ 0x03242ABF, 0x7FF62182,
+ 0x02BFA9A4, 0x7FF871A1,
+ 0x025B26D7, 0x7FFA72D1,
+ 0x01F6A296, 0x7FFC250F,
+ 0x01921D1F, 0x7FFD885A,
+ 0x012D96B0, 0x7FFE9CB2,
+ 0x00C90F88, 0x7FFF6216,
+ 0x006487E3, 0x7FFFD885,
+ 0x00000000, 0x7FFFFFFF,
+ 0xFF9B781D, 0x7FFFD885,
+ 0xFF36F078, 0x7FFF6216,
+ 0xFED2694F, 0x7FFE9CB2,
+ 0xFE6DE2E0, 0x7FFD885A,
+ 0xFE095D69, 0x7FFC250F,
+ 0xFDA4D928, 0x7FFA72D1,
+ 0xFD40565B, 0x7FF871A1,
+ 0xFCDBD541, 0x7FF62182,
+ 0xFC775616, 0x7FF38273,
+ 0xFC12D919, 0x7FF09477,
+ 0xFBAE5E89, 0x7FED5790,
+ 0xFB49E6A2, 0x7FE9CBC0,
+ 0xFAE571A4, 0x7FE5F108,
+ 0xFA80FFCB, 0x7FE1C76B,
+ 0xFA1C9156, 0x7FDD4EEC,
+ 0xF9B82683, 0x7FD8878D,
+ 0xF953BF90, 0x7FD37152,
+ 0xF8EF5CBB, 0x7FCE0C3E,
+ 0xF88AFE41, 0x7FC85853,
+ 0xF826A461, 0x7FC25596,
+ 0xF7C24F58, 0x7FBC040A,
+ 0xF75DFF65, 0x7FB563B2,
+ 0xF6F9B4C5, 0x7FAE7494,
+ 0xF6956FB6, 0x7FA736B4,
+ 0xF6313076, 0x7F9FAA15,
+ 0xF5CCF743, 0x7F97CEBC,
+ 0xF568C45A, 0x7F8FA4AF,
+ 0xF50497FA, 0x7F872BF3,
+ 0xF4A07260, 0x7F7E648B,
+ 0xF43C53CA, 0x7F754E7F,
+ 0xF3D83C76, 0x7F6BE9D4,
+ 0xF3742CA1, 0x7F62368F,
+ 0xF310248A, 0x7F5834B6,
+ 0xF2AC246D, 0x7F4DE450,
+ 0xF2482C89, 0x7F434563,
+ 0xF1E43D1C, 0x7F3857F5,
+ 0xF1805662, 0x7F2D1C0E,
+ 0xF11C789A, 0x7F2191B4,
+ 0xF0B8A401, 0x7F15B8EE,
+ 0xF054D8D4, 0x7F0991C3,
+ 0xEFF11752, 0x7EFD1C3C,
+ 0xEF8D5FB8, 0x7EF0585F,
+ 0xEF29B243, 0x7EE34635,
+ 0xEEC60F31, 0x7ED5E5C6,
+ 0xEE6276BF, 0x7EC8371A,
+ 0xEDFEE92B, 0x7EBA3A39,
+ 0xED9B66B2, 0x7EABEF2C,
+ 0xED37EF91, 0x7E9D55FC,
+ 0xECD48406, 0x7E8E6EB1,
+ 0xEC71244F, 0x7E7F3956,
+ 0xEC0DD0A8, 0x7E6FB5F3,
+ 0xEBAA894E, 0x7E5FE493,
+ 0xEB474E80, 0x7E4FC53E,
+ 0xEAE4207A, 0x7E3F57FE,
+ 0xEA80FF79, 0x7E2E9CDF,
+ 0xEA1DEBBB, 0x7E1D93E9,
+ 0xE9BAE57C, 0x7E0C3D29,
+ 0xE957ECFB, 0x7DFA98A7,
+ 0xE8F50273, 0x7DE8A670,
+ 0xE8922621, 0x7DD6668E,
+ 0xE82F5844, 0x7DC3D90D,
+ 0xE7CC9917, 0x7DB0FDF7,
+ 0xE769E8D8, 0x7D9DD55A,
+ 0xE70747C3, 0x7D8A5F3F,
+ 0xE6A4B616, 0x7D769BB5,
+ 0xE642340D, 0x7D628AC5,
+ 0xE5DFC1E4, 0x7D4E2C7E,
+ 0xE57D5FDA, 0x7D3980EC,
+ 0xE51B0E2A, 0x7D24881A,
+ 0xE4B8CD10, 0x7D0F4218,
+ 0xE4569CCB, 0x7CF9AEF0,
+ 0xE3F47D95, 0x7CE3CEB1,
+ 0xE3926FAC, 0x7CCDA168,
+ 0xE330734C, 0x7CB72724,
+ 0xE2CE88B2, 0x7CA05FF1,
+ 0xE26CB01A, 0x7C894BDD,
+ 0xE20AE9C1, 0x7C71EAF8,
+ 0xE1A935E1, 0x7C5A3D4F,
+ 0xE14794B9, 0x7C4242F2,
+ 0xE0E60684, 0x7C29FBEE,
+ 0xE0848B7F, 0x7C116853,
+ 0xE02323E5, 0x7BF88830,
+ 0xDFC1CFF2, 0x7BDF5B94,
+ 0xDF608FE3, 0x7BC5E28F,
+ 0xDEFF63F4, 0x7BAC1D31,
+ 0xDE9E4C60, 0x7B920B89,
+ 0xDE3D4963, 0x7B77ADA8,
+ 0xDDDC5B3A, 0x7B5D039D,
+ 0xDD7B8220, 0x7B420D7A,
+ 0xDD1ABE51, 0x7B26CB4F,
+ 0xDCBA1008, 0x7B0B3D2C,
+ 0xDC597781, 0x7AEF6323,
+ 0xDBF8F4F8, 0x7AD33D45,
+ 0xDB9888A8, 0x7AB6CBA3,
+ 0xDB3832CD, 0x7A9A0E4F,
+ 0xDAD7F3A2, 0x7A7D055B,
+ 0xDA77CB62, 0x7A5FB0D8,
+ 0xDA17BA4A, 0x7A4210D8,
+ 0xD9B7C093, 0x7A24256E,
+ 0xD957DE7A, 0x7A05EEAD,
+ 0xD8F81439, 0x79E76CA6,
+ 0xD898620C, 0x79C89F6D,
+ 0xD838C82D, 0x79A98715,
+ 0xD7D946D7, 0x798A23B1,
+ 0xD779DE46, 0x796A7554,
+ 0xD71A8EB5, 0x794A7C11,
+ 0xD6BB585D, 0x792A37FE,
+ 0xD65C3B7B, 0x7909A92C,
+ 0xD5FD3847, 0x78E8CFB1,
+ 0xD59E4EFE, 0x78C7ABA1,
+ 0xD53F7FDA, 0x78A63D10,
+ 0xD4E0CB14, 0x78848413,
+ 0xD48230E8, 0x786280BF,
+ 0xD423B190, 0x78403328,
+ 0xD3C54D46, 0x781D9B64,
+ 0xD3670445, 0x77FAB988,
+ 0xD308D6C6, 0x77D78DAA,
+ 0xD2AAC504, 0x77B417DF,
+ 0xD24CCF38, 0x7790583D,
+ 0xD1EEF59E, 0x776C4EDB,
+ 0xD191386D, 0x7747FBCE,
+ 0xD13397E1, 0x77235F2D,
+ 0xD0D61433, 0x76FE790E,
+ 0xD078AD9D, 0x76D94988,
+ 0xD01B6459, 0x76B3D0B3,
+ 0xCFBE389F, 0x768E0EA5,
+ 0xCF612AAA, 0x76680376,
+ 0xCF043AB2, 0x7641AF3C,
+ 0xCEA768F2, 0x761B1211,
+ 0xCE4AB5A2, 0x75F42C0A,
+ 0xCDEE20FC, 0x75CCFD42,
+ 0xCD91AB38, 0x75A585CF,
+ 0xCD355490, 0x757DC5CA,
+ 0xCCD91D3D, 0x7555BD4B,
+ 0xCC7D0577, 0x752D6C6C,
+ 0xCC210D78, 0x7504D345,
+ 0xCBC53578, 0x74DBF1EF,
+ 0xCB697DB0, 0x74B2C883,
+ 0xCB0DE658, 0x7489571B,
+ 0xCAB26FA9, 0x745F9DD1,
+ 0xCA5719DB, 0x74359CBD,
+ 0xC9FBE527, 0x740B53FA,
+ 0xC9A0D1C4, 0x73E0C3A3,
+ 0xC945DFEC, 0x73B5EBD0,
+ 0xC8EB0FD6, 0x738ACC9E,
+ 0xC89061BA, 0x735F6626,
+ 0xC835D5D0, 0x7333B883,
+ 0xC7DB6C50, 0x7307C3D0,
+ 0xC7812571, 0x72DB8828,
+ 0xC727016C, 0x72AF05A6,
+ 0xC6CD0079, 0x72823C66,
+ 0xC67322CD, 0x72552C84,
+ 0xC61968A2, 0x7227D61C,
+ 0xC5BFD22E, 0x71FA3948,
+ 0xC5665FA8, 0x71CC5626,
+ 0xC50D1148, 0x719E2CD2,
+ 0xC4B3E746, 0x716FBD68,
+ 0xC45AE1D7, 0x71410804,
+ 0xC4020132, 0x71120CC5,
+ 0xC3A9458F, 0x70E2CBC6,
+ 0xC350AF25, 0x70B34524,
+ 0xC2F83E2A, 0x708378FE,
+ 0xC29FF2D4, 0x70536771,
+ 0xC247CD5A, 0x70231099,
+ 0xC1EFCDF2, 0x6FF27496,
+ 0xC197F4D3, 0x6FC19385,
+ 0xC1404233, 0x6F906D84,
+ 0xC0E8B648, 0x6F5F02B1,
+ 0xC0915147, 0x6F2D532C,
+ 0xC03A1368, 0x6EFB5F12,
+ 0xBFE2FCDF, 0x6EC92682,
+ 0xBF8C0DE2, 0x6E96A99C,
+ 0xBF3546A8, 0x6E63E87F,
+ 0xBEDEA765, 0x6E30E349,
+ 0xBE88304F, 0x6DFD9A1B,
+ 0xBE31E19B, 0x6DCA0D14,
+ 0xBDDBBB7F, 0x6D963C54,
+ 0xBD85BE2F, 0x6D6227FA,
+ 0xBD2FE9E1, 0x6D2DD027,
+ 0xBCDA3ECA, 0x6CF934FB,
+ 0xBC84BD1E, 0x6CC45697,
+ 0xBC2F6513, 0x6C8F351C,
+ 0xBBDA36DC, 0x6C59D0A9,
+ 0xBB8532AF, 0x6C242960,
+ 0xBB3058C0, 0x6BEE3F62,
+ 0xBADBA943, 0x6BB812D0,
+ 0xBA87246C, 0x6B81A3CD,
+ 0xBA32CA70, 0x6B4AF278,
+ 0xB9DE9B83, 0x6B13FEF5,
+ 0xB98A97D8, 0x6ADCC964,
+ 0xB936BFA3, 0x6AA551E8,
+ 0xB8E31319, 0x6A6D98A4,
+ 0xB88F926C, 0x6A359DB9,
+ 0xB83C3DD1, 0x69FD614A,
+ 0xB7E9157A, 0x69C4E37A,
+ 0xB796199B, 0x698C246C,
+ 0xB7434A67, 0x69532442,
+ 0xB6F0A811, 0x6919E320,
+ 0xB69E32CD, 0x68E06129,
+ 0xB64BEACC, 0x68A69E81,
+ 0xB5F9D042, 0x686C9B4B,
+ 0xB5A7E362, 0x683257AA,
+ 0xB556245E, 0x67F7D3C4,
+ 0xB5049368, 0x67BD0FBC,
+ 0xB4B330B2, 0x67820BB6,
+ 0xB461FC70, 0x6746C7D7,
+ 0xB410F6D2, 0x670B4443,
+ 0xB3C0200C, 0x66CF811F,
+ 0xB36F784E, 0x66937E90,
+ 0xB31EFFCB, 0x66573CBB,
+ 0xB2CEB6B5, 0x661ABBC5,
+ 0xB27E9D3B, 0x65DDFBD3,
+ 0xB22EB392, 0x65A0FD0B,
+ 0xB1DEF9E8, 0x6563BF92,
+ 0xB18F7070, 0x6526438E,
+ 0xB140175B, 0x64E88926,
+ 0xB0F0EEDA, 0x64AA907F,
+ 0xB0A1F71C, 0x646C59BF,
+ 0xB0533055, 0x642DE50D,
+ 0xB0049AB2, 0x63EF328F,
+ 0xAFB63667, 0x63B0426D,
+ 0xAF6803A1, 0x637114CC,
+ 0xAF1A0293, 0x6331A9D4,
+ 0xAECC336B, 0x62F201AC,
+ 0xAE7E965B, 0x62B21C7B,
+ 0xAE312B91, 0x6271FA69,
+ 0xADE3F33E, 0x62319B9D,
+ 0xAD96ED91, 0x61F1003E,
+ 0xAD4A1ABA, 0x61B02876,
+ 0xACFD7AE8, 0x616F146B,
+ 0xACB10E4A, 0x612DC446,
+ 0xAC64D510, 0x60EC3830,
+ 0xAC18CF68, 0x60AA704F,
+ 0xABCCFD82, 0x60686CCE,
+ 0xAB815F8C, 0x60262DD5,
+ 0xAB35F5B5, 0x5FE3B38D,
+ 0xAAEAC02B, 0x5FA0FE1E,
+ 0xAA9FBF1D, 0x5F5E0DB3,
+ 0xAA54F2B9, 0x5F1AE273,
+ 0xAA0A5B2D, 0x5ED77C89,
+ 0xA9BFF8A8, 0x5E93DC1F,
+ 0xA975CB56, 0x5E50015D,
+ 0xA92BD366, 0x5E0BEC6E,
+ 0xA8E21106, 0x5DC79D7C,
+ 0xA8988463, 0x5D8314B0,
+ 0xA84F2DA9, 0x5D3E5236,
+ 0xA8060D08, 0x5CF95638,
+ 0xA7BD22AB, 0x5CB420DF,
+ 0xA7746EC0, 0x5C6EB258,
+ 0xA72BF173, 0x5C290ACC,
+ 0xA6E3AAF2, 0x5BE32A67,
+ 0xA69B9B68, 0x5B9D1153,
+ 0xA653C302, 0x5B56BFBD,
+ 0xA60C21ED, 0x5B1035CF,
+ 0xA5C4B855, 0x5AC973B4,
+ 0xA57D8666, 0x5A82799A,
+ 0xA5368C4B, 0x5A3B47AA,
+ 0xA4EFCA31, 0x59F3DE12,
+ 0xA4A94042, 0x59AC3CFD,
+ 0xA462EEAC, 0x59646497,
+ 0xA41CD598, 0x591C550E,
+ 0xA3D6F533, 0x58D40E8C,
+ 0xA3914DA7, 0x588B913F,
+ 0xA34BDF20, 0x5842DD54,
+ 0xA306A9C7, 0x57F9F2F7,
+ 0xA2C1ADC9, 0x57B0D256,
+ 0xA27CEB4F, 0x57677B9D,
+ 0xA2386283, 0x571DEEF9,
+ 0xA1F41391, 0x56D42C99,
+ 0xA1AFFEA2, 0x568A34A9,
+ 0xA16C23E1, 0x56400757,
+ 0xA1288376, 0x55F5A4D2,
+ 0xA0E51D8C, 0x55AB0D46,
+ 0xA0A1F24C, 0x556040E2,
+ 0xA05F01E1, 0x55153FD4,
+ 0xA01C4C72, 0x54CA0A4A,
+ 0x9FD9D22A, 0x547EA073,
+ 0x9F979331, 0x5433027D,
+ 0x9F558FB0, 0x53E73097,
+ 0x9F13C7D0, 0x539B2AEF,
+ 0x9ED23BB9, 0x534EF1B5,
+ 0x9E90EB94, 0x53028517,
+ 0x9E4FD789, 0x52B5E545,
+ 0x9E0EFFC1, 0x5269126E,
+ 0x9DCE6462, 0x521C0CC1,
+ 0x9D8E0596, 0x51CED46E,
+ 0x9D4DE384, 0x518169A4,
+ 0x9D0DFE53, 0x5133CC94,
+ 0x9CCE562B, 0x50E5FD6C,
+ 0x9C8EEB33, 0x5097FC5E,
+ 0x9C4FBD92, 0x5049C999,
+ 0x9C10CD70, 0x4FFB654D,
+ 0x9BD21AF2, 0x4FACCFAB,
+ 0x9B93A640, 0x4F5E08E3,
+ 0x9B556F80, 0x4F0F1126,
+ 0x9B1776D9, 0x4EBFE8A4,
+ 0x9AD9BC71, 0x4E708F8F,
+ 0x9A9C406D, 0x4E210617,
+ 0x9A5F02F5, 0x4DD14C6E,
+ 0x9A22042C, 0x4D8162C4,
+ 0x99E5443A, 0x4D31494B,
+ 0x99A8C344, 0x4CE10034,
+ 0x996C816F, 0x4C9087B1,
+ 0x99307EE0, 0x4C3FDFF3,
+ 0x98F4BBBC, 0x4BEF092D,
+ 0x98B93828, 0x4B9E038F,
+ 0x987DF449, 0x4B4CCF4D,
+ 0x9842F043, 0x4AFB6C97,
+ 0x98082C3B, 0x4AA9DBA1,
+ 0x97CDA855, 0x4A581C9D,
+ 0x979364B5, 0x4A062FBD,
+ 0x9759617E, 0x49B41533,
+ 0x971F9ED6, 0x4961CD32,
+ 0x96E61CDF, 0x490F57EE,
+ 0x96ACDBBD, 0x48BCB598,
+ 0x9673DB94, 0x4869E664,
+ 0x963B1C85, 0x4816EA85,
+ 0x96029EB5, 0x47C3C22E,
+ 0x95CA6246, 0x47706D93,
+ 0x9592675B, 0x471CECE6,
+ 0x955AAE17, 0x46C9405C,
+ 0x9523369B, 0x46756827,
+ 0x94EC010B, 0x4621647C,
+ 0x94B50D87, 0x45CD358F,
+ 0x947E5C32, 0x4578DB93,
+ 0x9447ED2F, 0x452456BC,
+ 0x9411C09D, 0x44CFA73F,
+ 0x93DBD69F, 0x447ACD50,
+ 0x93A62F56, 0x4425C923,
+ 0x9370CAE4, 0x43D09AEC,
+ 0x933BA968, 0x437B42E1,
+ 0x9306CB04, 0x4325C135,
+ 0x92D22FD8, 0x42D0161E,
+ 0x929DD805, 0x427A41D0,
+ 0x9269C3AC, 0x42244480,
+ 0x9235F2EB, 0x41CE1E64,
+ 0x920265E4, 0x4177CFB0,
+ 0x91CF1CB6, 0x4121589A,
+ 0x919C1780, 0x40CAB957,
+ 0x91695663, 0x4073F21D,
+ 0x9136D97D, 0x401D0320,
+ 0x9104A0ED, 0x3FC5EC97,
+ 0x90D2ACD3, 0x3F6EAEB8,
+ 0x90A0FD4E, 0x3F1749B7,
+ 0x906F927B, 0x3EBFBDCC,
+ 0x903E6C7A, 0x3E680B2C,
+ 0x900D8B69, 0x3E10320D,
+ 0x8FDCEF66, 0x3DB832A5,
+ 0x8FAC988E, 0x3D600D2B,
+ 0x8F7C8701, 0x3D07C1D5,
+ 0x8F4CBADB, 0x3CAF50DA,
+ 0x8F1D343A, 0x3C56BA70,
+ 0x8EEDF33B, 0x3BFDFECD,
+ 0x8EBEF7FB, 0x3BA51E29,
+ 0x8E904298, 0x3B4C18BA,
+ 0x8E61D32D, 0x3AF2EEB7,
+ 0x8E33A9D9, 0x3A99A057,
+ 0x8E05C6B7, 0x3A402DD1,
+ 0x8DD829E4, 0x39E6975D,
+ 0x8DAAD37B, 0x398CDD32,
+ 0x8D7DC399, 0x3932FF87,
+ 0x8D50FA59, 0x38D8FE93,
+ 0x8D2477D8, 0x387EDA8E,
+ 0x8CF83C30, 0x382493B0,
+ 0x8CCC477D, 0x37CA2A30,
+ 0x8CA099D9, 0x376F9E46,
+ 0x8C753361, 0x3714F02A,
+ 0x8C4A142F, 0x36BA2013,
+ 0x8C1F3C5C, 0x365F2E3B,
+ 0x8BF4AC05, 0x36041AD9,
+ 0x8BCA6342, 0x35A8E624,
+ 0x8BA0622F, 0x354D9056,
+ 0x8B76A8E4, 0x34F219A7,
+ 0x8B4D377C, 0x3496824F,
+ 0x8B240E10, 0x343ACA87,
+ 0x8AFB2CBA, 0x33DEF287,
+ 0x8AD29393, 0x3382FA88,
+ 0x8AAA42B4, 0x3326E2C2,
+ 0x8A823A35, 0x32CAAB6F,
+ 0x8A5A7A30, 0x326E54C7,
+ 0x8A3302BD, 0x3211DF03,
+ 0x8A0BD3F5, 0x31B54A5D,
+ 0x89E4EDEE, 0x3158970D,
+ 0x89BE50C3, 0x30FBC54D,
+ 0x8997FC89, 0x309ED555,
+ 0x8971F15A, 0x3041C760,
+ 0x894C2F4C, 0x2FE49BA6,
+ 0x8926B677, 0x2F875262,
+ 0x890186F1, 0x2F29EBCC,
+ 0x88DCA0D3, 0x2ECC681E,
+ 0x88B80431, 0x2E6EC792,
+ 0x8893B124, 0x2E110A62,
+ 0x886FA7C2, 0x2DB330C7,
+ 0x884BE820, 0x2D553AFB,
+ 0x88287255, 0x2CF72939,
+ 0x88054677, 0x2C98FBBA,
+ 0x87E2649B, 0x2C3AB2B9,
+ 0x87BFCCD7, 0x2BDC4E6F,
+ 0x879D7F40, 0x2B7DCF17,
+ 0x877B7BEC, 0x2B1F34EB,
+ 0x8759C2EF, 0x2AC08025,
+ 0x8738545E, 0x2A61B101,
+ 0x8717304E, 0x2A02C7B8,
+ 0x86F656D3, 0x29A3C484,
+ 0x86D5C802, 0x2944A7A2,
+ 0x86B583EE, 0x28E5714A,
+ 0x86958AAB, 0x288621B9,
+ 0x8675DC4E, 0x2826B928,
+ 0x865678EA, 0x27C737D2,
+ 0x86376092, 0x27679DF4,
+ 0x86189359, 0x2707EBC6,
+ 0x85FA1152, 0x26A82185,
+ 0x85DBDA91, 0x26483F6C,
+ 0x85BDEF27, 0x25E845B5,
+ 0x85A04F28, 0x2588349D,
+ 0x8582FAA4, 0x25280C5D,
+ 0x8565F1B0, 0x24C7CD32,
+ 0x8549345C, 0x24677757,
+ 0x852CC2BA, 0x24070B07,
+ 0x85109CDC, 0x23A6887E,
+ 0x84F4C2D3, 0x2345EFF7,
+ 0x84D934B0, 0x22E541AE,
+ 0x84BDF285, 0x22847DDF,
+ 0x84A2FC62, 0x2223A4C5,
+ 0x84885257, 0x21C2B69C,
+ 0x846DF476, 0x2161B39F,
+ 0x8453E2CE, 0x21009C0B,
+ 0x843A1D70, 0x209F701C,
+ 0x8420A46B, 0x203E300D,
+ 0x840777CF, 0x1FDCDC1A,
+ 0x83EE97AC, 0x1F7B7480,
+ 0x83D60411, 0x1F19F97B,
+ 0x83BDBD0D, 0x1EB86B46,
+ 0x83A5C2B0, 0x1E56CA1E,
+ 0x838E1507, 0x1DF5163F,
+ 0x8376B422, 0x1D934FE5,
+ 0x835FA00E, 0x1D31774D,
+ 0x8348D8DB, 0x1CCF8CB3,
+ 0x83325E97, 0x1C6D9053,
+ 0x831C314E, 0x1C0B826A,
+ 0x8306510F, 0x1BA96334,
+ 0x82F0BDE8, 0x1B4732EF,
+ 0x82DB77E5, 0x1AE4F1D6,
+ 0x82C67F13, 0x1A82A025,
+ 0x82B1D381, 0x1A203E1B,
+ 0x829D753A, 0x19BDCBF2,
+ 0x8289644A, 0x195B49E9,
+ 0x8275A0C0, 0x18F8B83C,
+ 0x82622AA5, 0x18961727,
+ 0x824F0208, 0x183366E8,
+ 0x823C26F2, 0x17D0A7BB,
+ 0x82299971, 0x176DD9DE,
+ 0x8217598F, 0x170AFD8D,
+ 0x82056758, 0x16A81305,
+ 0x81F3C2D7, 0x16451A83,
+ 0x81E26C16, 0x15E21444,
+ 0x81D16320, 0x157F0086,
+ 0x81C0A801, 0x151BDF85,
+ 0x81B03AC1, 0x14B8B17F,
+ 0x81A01B6C, 0x145576B1,
+ 0x81904A0C, 0x13F22F57,
+ 0x8180C6A9, 0x138EDBB0,
+ 0x8171914E, 0x132B7BF9,
+ 0x8162AA03, 0x12C8106E,
+ 0x815410D3, 0x1264994E,
+ 0x8145C5C6, 0x120116D4,
+ 0x8137C8E6, 0x119D8940,
+ 0x812A1A39, 0x1139F0CE,
+ 0x811CB9CA, 0x10D64DBC,
+ 0x810FA7A0, 0x1072A047,
+ 0x8102E3C3, 0x100EE8AD,
+ 0x80F66E3C, 0x0FAB272B,
+ 0x80EA4712, 0x0F475BFE,
+ 0x80DE6E4C, 0x0EE38765,
+ 0x80D2E3F1, 0x0E7FA99D,
+ 0x80C7A80A, 0x0E1BC2E3,
+ 0x80BCBA9C, 0x0DB7D376,
+ 0x80B21BAF, 0x0D53DB92,
+ 0x80A7CB49, 0x0CEFDB75,
+ 0x809DC970, 0x0C8BD35E,
+ 0x8094162B, 0x0C27C389,
+ 0x808AB180, 0x0BC3AC35,
+ 0x80819B74, 0x0B5F8D9F,
+ 0x8078D40D, 0x0AFB6805,
+ 0x80705B50, 0x0A973BA5,
+ 0x80683143, 0x0A3308BC,
+ 0x806055EA, 0x09CECF89,
+ 0x8058C94C, 0x096A9049,
+ 0x80518B6B, 0x09064B3A,
+ 0x804A9C4D, 0x08A2009A,
+ 0x8043FBF6, 0x083DB0A7,
+ 0x803DAA69, 0x07D95B9E,
+ 0x8037A7AC, 0x077501BE,
+ 0x8031F3C1, 0x0710A344,
+ 0x802C8EAD, 0x06AC406F,
+ 0x80277872, 0x0647D97C,
+ 0x8022B113, 0x05E36EA9,
+ 0x801E3894, 0x057F0034,
+ 0x801A0EF7, 0x051A8E5C,
+ 0x80163440, 0x04B6195D,
+ 0x8012A86F, 0x0451A176,
+ 0x800F6B88, 0x03ED26E6,
+ 0x800C7D8C, 0x0388A9E9,
+ 0x8009DE7D, 0x03242ABF,
+ 0x80078E5E, 0x02BFA9A4,
+ 0x80058D2E, 0x025B26D7,
+ 0x8003DAF0, 0x01F6A296,
+ 0x800277A5, 0x01921D1F,
+ 0x8001634D, 0x012D96B0,
+ 0x80009DE9, 0x00C90F88,
+ 0x8000277A, 0x006487E3,
+ 0x80000000, 0x00000000,
+ 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
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 4096 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to Q31(Fixed point 1.31):
+* round(twiddleCoefQ31(i) * pow(2, 31))
+*
+*/
+const q31_t twiddleCoef_4096_q31[6144] =
+{
+ 0x7FFFFFFF, 0x00000000,
+ 0x7FFFF621, 0x003243F5,
+ 0x7FFFD885, 0x006487E3,
+ 0x7FFFA72C, 0x0096CBC1,
+ 0x7FFF6216, 0x00C90F88,
+ 0x7FFF0942, 0x00FB532F,
+ 0x7FFE9CB2, 0x012D96B0,
+ 0x7FFE1C64, 0x015FDA03,
+ 0x7FFD885A, 0x01921D1F,
+ 0x7FFCE093, 0x01C45FFE,
+ 0x7FFC250F, 0x01F6A296,
+ 0x7FFB55CE, 0x0228E4E1,
+ 0x7FFA72D1, 0x025B26D7,
+ 0x7FF97C17, 0x028D6870,
+ 0x7FF871A1, 0x02BFA9A4,
+ 0x7FF7536F, 0x02F1EA6B,
+ 0x7FF62182, 0x03242ABF,
+ 0x7FF4DBD8, 0x03566A96,
+ 0x7FF38273, 0x0388A9E9,
+ 0x7FF21553, 0x03BAE8B1,
+ 0x7FF09477, 0x03ED26E6,
+ 0x7FEEFFE1, 0x041F647F,
+ 0x7FED5790, 0x0451A176,
+ 0x7FEB9B85, 0x0483DDC3,
+ 0x7FE9CBC0, 0x04B6195D,
+ 0x7FE7E840, 0x04E8543D,
+ 0x7FE5F108, 0x051A8E5C,
+ 0x7FE3E616, 0x054CC7B0,
+ 0x7FE1C76B, 0x057F0034,
+ 0x7FDF9508, 0x05B137DF,
+ 0x7FDD4EEC, 0x05E36EA9,
+ 0x7FDAF518, 0x0615A48A,
+ 0x7FD8878D, 0x0647D97C,
+ 0x7FD6064B, 0x067A0D75,
+ 0x7FD37152, 0x06AC406F,
+ 0x7FD0C8A3, 0x06DE7261,
+ 0x7FCE0C3E, 0x0710A344,
+ 0x7FCB3C23, 0x0742D310,
+ 0x7FC85853, 0x077501BE,
+ 0x7FC560CF, 0x07A72F45,
+ 0x7FC25596, 0x07D95B9E,
+ 0x7FBF36A9, 0x080B86C1,
+ 0x7FBC040A, 0x083DB0A7,
+ 0x7FB8BDB7, 0x086FD947,
+ 0x7FB563B2, 0x08A2009A,
+ 0x7FB1F5FC, 0x08D42698,
+ 0x7FAE7494, 0x09064B3A,
+ 0x7FAADF7C, 0x09386E77,
+ 0x7FA736B4, 0x096A9049,
+ 0x7FA37A3C, 0x099CB0A7,
+ 0x7F9FAA15, 0x09CECF89,
+ 0x7F9BC63F, 0x0A00ECE8,
+ 0x7F97CEBC, 0x0A3308BC,
+ 0x7F93C38C, 0x0A6522FE,
+ 0x7F8FA4AF, 0x0A973BA5,
+ 0x7F8B7226, 0x0AC952AA,
+ 0x7F872BF3, 0x0AFB6805,
+ 0x7F82D214, 0x0B2D7BAE,
+ 0x7F7E648B, 0x0B5F8D9F,
+ 0x7F79E35A, 0x0B919DCE,
+ 0x7F754E7F, 0x0BC3AC35,
+ 0x7F70A5FD, 0x0BF5B8CB,
+ 0x7F6BE9D4, 0x0C27C389,
+ 0x7F671A04, 0x0C59CC67,
+ 0x7F62368F, 0x0C8BD35E,
+ 0x7F5D3F75, 0x0CBDD865,
+ 0x7F5834B6, 0x0CEFDB75,
+ 0x7F531654, 0x0D21DC87,
+ 0x7F4DE450, 0x0D53DB92,
+ 0x7F489EAA, 0x0D85D88F,
+ 0x7F434563, 0x0DB7D376,
+ 0x7F3DD87C, 0x0DE9CC3F,
+ 0x7F3857F5, 0x0E1BC2E3,
+ 0x7F32C3D0, 0x0E4DB75B,
+ 0x7F2D1C0E, 0x0E7FA99D,
+ 0x7F2760AF, 0x0EB199A3,
+ 0x7F2191B4, 0x0EE38765,
+ 0x7F1BAF1E, 0x0F1572DC,
+ 0x7F15B8EE, 0x0F475BFE,
+ 0x7F0FAF24, 0x0F7942C6,
+ 0x7F0991C3, 0x0FAB272B,
+ 0x7F0360CB, 0x0FDD0925,
+ 0x7EFD1C3C, 0x100EE8AD,
+ 0x7EF6C418, 0x1040C5BB,
+ 0x7EF0585F, 0x1072A047,
+ 0x7EE9D913, 0x10A4784A,
+ 0x7EE34635, 0x10D64DBC,
+ 0x7EDC9FC6, 0x11082096,
+ 0x7ED5E5C6, 0x1139F0CE,
+ 0x7ECF1837, 0x116BBE5F,
+ 0x7EC8371A, 0x119D8940,
+ 0x7EC1426F, 0x11CF516A,
+ 0x7EBA3A39, 0x120116D4,
+ 0x7EB31E77, 0x1232D978,
+ 0x7EABEF2C, 0x1264994E,
+ 0x7EA4AC58, 0x1296564D,
+ 0x7E9D55FC, 0x12C8106E,
+ 0x7E95EC19, 0x12F9C7AA,
+ 0x7E8E6EB1, 0x132B7BF9,
+ 0x7E86DDC5, 0x135D2D53,
+ 0x7E7F3956, 0x138EDBB0,
+ 0x7E778165, 0x13C0870A,
+ 0x7E6FB5F3, 0x13F22F57,
+ 0x7E67D702, 0x1423D492,
+ 0x7E5FE493, 0x145576B1,
+ 0x7E57DEA6, 0x148715AD,
+ 0x7E4FC53E, 0x14B8B17F,
+ 0x7E47985B, 0x14EA4A1F,
+ 0x7E3F57FE, 0x151BDF85,
+ 0x7E37042A, 0x154D71AA,
+ 0x7E2E9CDF, 0x157F0086,
+ 0x7E26221E, 0x15B08C11,
+ 0x7E1D93E9, 0x15E21444,
+ 0x7E14F242, 0x16139917,
+ 0x7E0C3D29, 0x16451A83,
+ 0x7E03749F, 0x1676987F,
+ 0x7DFA98A7, 0x16A81305,
+ 0x7DF1A942, 0x16D98A0C,
+ 0x7DE8A670, 0x170AFD8D,
+ 0x7DDF9034, 0x173C6D80,
+ 0x7DD6668E, 0x176DD9DE,
+ 0x7DCD2981, 0x179F429F,
+ 0x7DC3D90D, 0x17D0A7BB,
+ 0x7DBA7534, 0x1802092C,
+ 0x7DB0FDF7, 0x183366E8,
+ 0x7DA77359, 0x1864C0E9,
+ 0x7D9DD55A, 0x18961727,
+ 0x7D9423FB, 0x18C7699B,
+ 0x7D8A5F3F, 0x18F8B83C,
+ 0x7D808727, 0x192A0303,
+ 0x7D769BB5, 0x195B49E9,
+ 0x7D6C9CE9, 0x198C8CE6,
+ 0x7D628AC5, 0x19BDCBF2,
+ 0x7D58654C, 0x19EF0706,
+ 0x7D4E2C7E, 0x1A203E1B,
+ 0x7D43E05E, 0x1A517127,
+ 0x7D3980EC, 0x1A82A025,
+ 0x7D2F0E2A, 0x1AB3CB0C,
+ 0x7D24881A, 0x1AE4F1D6,
+ 0x7D19EEBE, 0x1B161479,
+ 0x7D0F4218, 0x1B4732EF,
+ 0x7D048228, 0x1B784D30,
+ 0x7CF9AEF0, 0x1BA96334,
+ 0x7CEEC873, 0x1BDA74F5,
+ 0x7CE3CEB1, 0x1C0B826A,
+ 0x7CD8C1AD, 0x1C3C8B8C,
+ 0x7CCDA168, 0x1C6D9053,
+ 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, 0x3158970D,
+ 0x7607A827, 0x3186F487,
+ 0x75F42C0A, 0x31B54A5D,
+ 0x75E09DBD, 0x31E39889,
+ 0x75CCFD42, 0x3211DF03,
+ 0x75B94A9C, 0x32401DC5,
+ 0x75A585CF, 0x326E54C7,
+ 0x7591AEDD, 0x329C8402,
+ 0x757DC5CA, 0x32CAAB6F,
+ 0x7569CA98, 0x32F8CB07,
+ 0x7555BD4B, 0x3326E2C2,
+ 0x75419DE6, 0x3354F29A,
+ 0x752D6C6C, 0x3382FA88,
+ 0x751928E0, 0x33B0FA84,
+ 0x7504D345, 0x33DEF287,
+ 0x74F06B9E, 0x340CE28A,
+ 0x74DBF1EF, 0x343ACA87,
+ 0x74C7663A, 0x3468AA76,
+ 0x74B2C883, 0x3496824F,
+ 0x749E18CD, 0x34C4520D,
+ 0x7489571B, 0x34F219A7,
+ 0x74748371, 0x351FD917,
+ 0x745F9DD1, 0x354D9056,
+ 0x744AA63E, 0x357B3F5D,
+ 0x74359CBD, 0x35A8E624,
+ 0x74208150, 0x35D684A5,
+ 0x740B53FA, 0x36041AD9,
+ 0x73F614C0, 0x3631A8B7,
+ 0x73E0C3A3, 0x365F2E3B,
+ 0x73CB60A7, 0x368CAB5C,
+ 0x73B5EBD0, 0x36BA2013,
+ 0x73A06522, 0x36E78C5A,
+ 0x738ACC9E, 0x3714F02A,
+ 0x73752249, 0x37424B7A,
+ 0x735F6626, 0x376F9E46,
+ 0x73499838, 0x379CE884,
+ 0x7333B883, 0x37CA2A30,
+ 0x731DC709, 0x37F76340,
+ 0x7307C3D0, 0x382493B0,
+ 0x72F1AED8, 0x3851BB76,
+ 0x72DB8828, 0x387EDA8E,
+ 0x72C54FC0, 0x38ABF0EF,
+ 0x72AF05A6, 0x38D8FE93,
+ 0x7298A9DC, 0x39060372,
+ 0x72823C66, 0x3932FF87,
+ 0x726BBD48, 0x395FF2C9,
+ 0x72552C84, 0x398CDD32,
+ 0x723E8A1F, 0x39B9BEBB,
+ 0x7227D61C, 0x39E6975D,
+ 0x7211107D, 0x3A136712,
+ 0x71FA3948, 0x3A402DD1,
+ 0x71E3507F, 0x3A6CEB95,
+ 0x71CC5626, 0x3A99A057,
+ 0x71B54A40, 0x3AC64C0F,
+ 0x719E2CD2, 0x3AF2EEB7,
+ 0x7186FDDE, 0x3B1F8847,
+ 0x716FBD68, 0x3B4C18BA,
+ 0x71586B73, 0x3B78A007,
+ 0x71410804, 0x3BA51E29,
+ 0x7129931E, 0x3BD19317,
+ 0x71120CC5, 0x3BFDFECD,
+ 0x70FA74FB, 0x3C2A6142,
+ 0x70E2CBC6, 0x3C56BA70,
+ 0x70CB1127, 0x3C830A4F,
+ 0x70B34524, 0x3CAF50DA,
+ 0x709B67C0, 0x3CDB8E09,
+ 0x708378FE, 0x3D07C1D5,
+ 0x706B78E3, 0x3D33EC39,
+ 0x70536771, 0x3D600D2B,
+ 0x703B44AC, 0x3D8C24A7,
+ 0x70231099, 0x3DB832A5,
+ 0x700ACB3B, 0x3DE4371F,
+ 0x6FF27496, 0x3E10320D,
+ 0x6FDA0CAD, 0x3E3C2369,
+ 0x6FC19385, 0x3E680B2C,
+ 0x6FA90920, 0x3E93E94F,
+ 0x6F906D84, 0x3EBFBDCC,
+ 0x6F77C0B3, 0x3EEB889C,
+ 0x6F5F02B1, 0x3F1749B7,
+ 0x6F463383, 0x3F430118,
+ 0x6F2D532C, 0x3F6EAEB8,
+ 0x6F1461AF, 0x3F9A528F,
+ 0x6EFB5F12, 0x3FC5EC97,
+ 0x6EE24B57, 0x3FF17CCA,
+ 0x6EC92682, 0x401D0320,
+ 0x6EAFF098, 0x40487F93,
+ 0x6E96A99C, 0x4073F21D,
+ 0x6E7D5193, 0x409F5AB6,
+ 0x6E63E87F, 0x40CAB957,
+ 0x6E4A6E65, 0x40F60DFB,
+ 0x6E30E349, 0x4121589A,
+ 0x6E17472F, 0x414C992E,
+ 0x6DFD9A1B, 0x4177CFB0,
+ 0x6DE3DC11, 0x41A2FC1A,
+ 0x6DCA0D14, 0x41CE1E64,
+ 0x6DB02D29, 0x41F93688,
+ 0x6D963C54, 0x42244480,
+ 0x6D7C3A98, 0x424F4845,
+ 0x6D6227FA, 0x427A41D0,
+ 0x6D48047E, 0x42A5311A,
+ 0x6D2DD027, 0x42D0161E,
+ 0x6D138AFA, 0x42FAF0D4,
+ 0x6CF934FB, 0x4325C135,
+ 0x6CDECE2E, 0x4350873C,
+ 0x6CC45697, 0x437B42E1,
+ 0x6CA9CE3A, 0x43A5F41E,
+ 0x6C8F351C, 0x43D09AEC,
+ 0x6C748B3F, 0x43FB3745,
+ 0x6C59D0A9, 0x4425C923,
+ 0x6C3F055D, 0x4450507E,
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+ 0x69E12A8C, 0x47ED5BE6,
+ 0x69C4E37A, 0x4816EA85,
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+ 0x698C246C, 0x4869E664,
+ 0x696FAC78, 0x48935397,
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+ 0x6526438E, 0x4E708F8F,
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+ 0x64AA907F, 0x4F0F1126,
+ 0x648B7CDF, 0x4F369320,
+ 0x646C59BF, 0x4F5E08E3,
+ 0x644D2722, 0x4F857268,
+ 0x642DE50D, 0x4FACCFAB,
+ 0x640E9385, 0x4FD420A3,
+ 0x63EF328F, 0x4FFB654D,
+ 0x63CFC230, 0x50229DA0,
+ 0x63B0426D, 0x5049C999,
+ 0x6390B34A, 0x5070E92F,
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+ 0x2B7DCF17, 0x786280BF,
+ 0x2B4E8558, 0x78738BB3,
+ 0x2B1F34EB, 0x78848413,
+ 0x2AEFDDD8, 0x789569DE,
+ 0x2AC08025, 0x78A63D10,
+ 0x2A911BDB, 0x78B6FDA8,
+ 0x2A61B101, 0x78C7ABA1,
+ 0x2A323F9D, 0x78D846FB,
+ 0x2A02C7B8, 0x78E8CFB1,
+ 0x29D34958, 0x78F945C3,
+ 0x29A3C484, 0x7909A92C,
+ 0x29743945, 0x7919F9EB,
+ 0x2944A7A2, 0x792A37FE,
+ 0x29150FA1, 0x793A6360,
+ 0x28E5714A, 0x794A7C11,
+ 0x28B5CCA5, 0x795A820E,
+ 0x288621B9, 0x796A7554,
+ 0x2856708C, 0x797A55E0,
+ 0x2826B928, 0x798A23B1,
+ 0x27F6FB92, 0x7999DEC3,
+ 0x27C737D2, 0x79A98715,
+ 0x27976DF1, 0x79B91CA4,
+ 0x27679DF4, 0x79C89F6D,
+ 0x2737C7E3, 0x79D80F6F,
+ 0x2707EBC6, 0x79E76CA6,
+ 0x26D809A5, 0x79F6B711,
+ 0x26A82185, 0x7A05EEAD,
+ 0x26783370, 0x7A151377,
+ 0x26483F6C, 0x7A24256E,
+ 0x26184581, 0x7A33248F,
+ 0x25E845B5, 0x7A4210D8,
+ 0x25B84012, 0x7A50EA46,
+ 0x2588349D, 0x7A5FB0D8,
+ 0x2558235E, 0x7A6E648A,
+ 0x25280C5D, 0x7A7D055B,
+ 0x24F7EFA1, 0x7A8B9348,
+ 0x24C7CD32, 0x7A9A0E4F,
+ 0x2497A517, 0x7AA8766E,
+ 0x24677757, 0x7AB6CBA3,
+ 0x243743FA, 0x7AC50DEB,
+ 0x24070B07, 0x7AD33D45,
+ 0x23D6CC86, 0x7AE159AE,
+ 0x23A6887E, 0x7AEF6323,
+ 0x23763EF7, 0x7AFD59A3,
+ 0x2345EFF7, 0x7B0B3D2C,
+ 0x23159B87, 0x7B190DBB,
+ 0x22E541AE, 0x7B26CB4F,
+ 0x22B4E274, 0x7B3475E4,
+ 0x22847DDF, 0x7B420D7A,
+ 0x225413F8, 0x7B4F920E,
+ 0x2223A4C5, 0x7B5D039D,
+ 0x21F3304E, 0x7B6A6227,
+ 0x21C2B69C, 0x7B77ADA8,
+ 0x219237B4, 0x7B84E61E,
+ 0x2161B39F, 0x7B920B89,
+ 0x21312A65, 0x7B9F1DE5,
+ 0x21009C0B, 0x7BAC1D31,
+ 0x20D0089B, 0x7BB9096A,
+ 0x209F701C, 0x7BC5E28F,
+ 0x206ED295, 0x7BD2A89E,
+ 0x203E300D, 0x7BDF5B94,
+ 0x200D888C, 0x7BEBFB70,
+ 0x1FDCDC1A, 0x7BF88830,
+ 0x1FAC2ABF, 0x7C0501D1,
+ 0x1F7B7480, 0x7C116853,
+ 0x1F4AB967, 0x7C1DBBB2,
+ 0x1F19F97B, 0x7C29FBEE,
+ 0x1EE934C2, 0x7C362904,
+ 0x1EB86B46, 0x7C4242F2,
+ 0x1E879D0C, 0x7C4E49B6,
+ 0x1E56CA1E, 0x7C5A3D4F,
+ 0x1E25F281, 0x7C661DBB,
+ 0x1DF5163F, 0x7C71EAF8,
+ 0x1DC4355D, 0x7C7DA504,
+ 0x1D934FE5, 0x7C894BDD,
+ 0x1D6265DD, 0x7C94DF82,
+ 0x1D31774D, 0x7CA05FF1,
+ 0x1D00843C, 0x7CABCD27,
+ 0x1CCF8CB3, 0x7CB72724,
+ 0x1C9E90B8, 0x7CC26DE5,
+ 0x1C6D9053, 0x7CCDA168,
+ 0x1C3C8B8C, 0x7CD8C1AD,
+ 0x1C0B826A, 0x7CE3CEB1,
+ 0x1BDA74F5, 0x7CEEC873,
+ 0x1BA96334, 0x7CF9AEF0,
+ 0x1B784D30, 0x7D048228,
+ 0x1B4732EF, 0x7D0F4218,
+ 0x1B161479, 0x7D19EEBE,
+ 0x1AE4F1D6, 0x7D24881A,
+ 0x1AB3CB0C, 0x7D2F0E2A,
+ 0x1A82A025, 0x7D3980EC,
+ 0x1A517127, 0x7D43E05E,
+ 0x1A203E1B, 0x7D4E2C7E,
+ 0x19EF0706, 0x7D58654C,
+ 0x19BDCBF2, 0x7D628AC5,
+ 0x198C8CE6, 0x7D6C9CE9,
+ 0x195B49E9, 0x7D769BB5,
+ 0x192A0303, 0x7D808727,
+ 0x18F8B83C, 0x7D8A5F3F,
+ 0x18C7699B, 0x7D9423FB,
+ 0x18961727, 0x7D9DD55A,
+ 0x1864C0E9, 0x7DA77359,
+ 0x183366E8, 0x7DB0FDF7,
+ 0x1802092C, 0x7DBA7534,
+ 0x17D0A7BB, 0x7DC3D90D,
+ 0x179F429F, 0x7DCD2981,
+ 0x176DD9DE, 0x7DD6668E,
+ 0x173C6D80, 0x7DDF9034,
+ 0x170AFD8D, 0x7DE8A670,
+ 0x16D98A0C, 0x7DF1A942,
+ 0x16A81305, 0x7DFA98A7,
+ 0x1676987F, 0x7E03749F,
+ 0x16451A83, 0x7E0C3D29,
+ 0x16139917, 0x7E14F242,
+ 0x15E21444, 0x7E1D93E9,
+ 0x15B08C11, 0x7E26221E,
+ 0x157F0086, 0x7E2E9CDF,
+ 0x154D71AA, 0x7E37042A,
+ 0x151BDF85, 0x7E3F57FE,
+ 0x14EA4A1F, 0x7E47985B,
+ 0x14B8B17F, 0x7E4FC53E,
+ 0x148715AD, 0x7E57DEA6,
+ 0x145576B1, 0x7E5FE493,
+ 0x1423D492, 0x7E67D702,
+ 0x13F22F57, 0x7E6FB5F3,
+ 0x13C0870A, 0x7E778165,
+ 0x138EDBB0, 0x7E7F3956,
+ 0x135D2D53, 0x7E86DDC5,
+ 0x132B7BF9, 0x7E8E6EB1,
+ 0x12F9C7AA, 0x7E95EC19,
+ 0x12C8106E, 0x7E9D55FC,
+ 0x1296564D, 0x7EA4AC58,
+ 0x1264994E, 0x7EABEF2C,
+ 0x1232D978, 0x7EB31E77,
+ 0x120116D4, 0x7EBA3A39,
+ 0x11CF516A, 0x7EC1426F,
+ 0x119D8940, 0x7EC8371A,
+ 0x116BBE5F, 0x7ECF1837,
+ 0x1139F0CE, 0x7ED5E5C6,
+ 0x11082096, 0x7EDC9FC6,
+ 0x10D64DBC, 0x7EE34635,
+ 0x10A4784A, 0x7EE9D913,
+ 0x1072A047, 0x7EF0585F,
+ 0x1040C5BB, 0x7EF6C418,
+ 0x100EE8AD, 0x7EFD1C3C,
+ 0x0FDD0925, 0x7F0360CB,
+ 0x0FAB272B, 0x7F0991C3,
+ 0x0F7942C6, 0x7F0FAF24,
+ 0x0F475BFE, 0x7F15B8EE,
+ 0x0F1572DC, 0x7F1BAF1E,
+ 0x0EE38765, 0x7F2191B4,
+ 0x0EB199A3, 0x7F2760AF,
+ 0x0E7FA99D, 0x7F2D1C0E,
+ 0x0E4DB75B, 0x7F32C3D0,
+ 0x0E1BC2E3, 0x7F3857F5,
+ 0x0DE9CC3F, 0x7F3DD87C,
+ 0x0DB7D376, 0x7F434563,
+ 0x0D85D88F, 0x7F489EAA,
+ 0x0D53DB92, 0x7F4DE450,
+ 0x0D21DC87, 0x7F531654,
+ 0x0CEFDB75, 0x7F5834B6,
+ 0x0CBDD865, 0x7F5D3F75,
+ 0x0C8BD35E, 0x7F62368F,
+ 0x0C59CC67, 0x7F671A04,
+ 0x0C27C389, 0x7F6BE9D4,
+ 0x0BF5B8CB, 0x7F70A5FD,
+ 0x0BC3AC35, 0x7F754E7F,
+ 0x0B919DCE, 0x7F79E35A,
+ 0x0B5F8D9F, 0x7F7E648B,
+ 0x0B2D7BAE, 0x7F82D214,
+ 0x0AFB6805, 0x7F872BF3,
+ 0x0AC952AA, 0x7F8B7226,
+ 0x0A973BA5, 0x7F8FA4AF,
+ 0x0A6522FE, 0x7F93C38C,
+ 0x0A3308BC, 0x7F97CEBC,
+ 0x0A00ECE8, 0x7F9BC63F,
+ 0x09CECF89, 0x7F9FAA15,
+ 0x099CB0A7, 0x7FA37A3C,
+ 0x096A9049, 0x7FA736B4,
+ 0x09386E77, 0x7FAADF7C,
+ 0x09064B3A, 0x7FAE7494,
+ 0x08D42698, 0x7FB1F5FC,
+ 0x08A2009A, 0x7FB563B2,
+ 0x086FD947, 0x7FB8BDB7,
+ 0x083DB0A7, 0x7FBC040A,
+ 0x080B86C1, 0x7FBF36A9,
+ 0x07D95B9E, 0x7FC25596,
+ 0x07A72F45, 0x7FC560CF,
+ 0x077501BE, 0x7FC85853,
+ 0x0742D310, 0x7FCB3C23,
+ 0x0710A344, 0x7FCE0C3E,
+ 0x06DE7261, 0x7FD0C8A3,
+ 0x06AC406F, 0x7FD37152,
+ 0x067A0D75, 0x7FD6064B,
+ 0x0647D97C, 0x7FD8878D,
+ 0x0615A48A, 0x7FDAF518,
+ 0x05E36EA9, 0x7FDD4EEC,
+ 0x05B137DF, 0x7FDF9508,
+ 0x057F0034, 0x7FE1C76B,
+ 0x054CC7B0, 0x7FE3E616,
+ 0x051A8E5C, 0x7FE5F108,
+ 0x04E8543D, 0x7FE7E840,
+ 0x04B6195D, 0x7FE9CBC0,
+ 0x0483DDC3, 0x7FEB9B85,
+ 0x0451A176, 0x7FED5790,
+ 0x041F647F, 0x7FEEFFE1,
+ 0x03ED26E6, 0x7FF09477,
+ 0x03BAE8B1, 0x7FF21553,
+ 0x0388A9E9, 0x7FF38273,
+ 0x03566A96, 0x7FF4DBD8,
+ 0x03242ABF, 0x7FF62182,
+ 0x02F1EA6B, 0x7FF7536F,
+ 0x02BFA9A4, 0x7FF871A1,
+ 0x028D6870, 0x7FF97C17,
+ 0x025B26D7, 0x7FFA72D1,
+ 0x0228E4E1, 0x7FFB55CE,
+ 0x01F6A296, 0x7FFC250F,
+ 0x01C45FFE, 0x7FFCE093,
+ 0x01921D1F, 0x7FFD885A,
+ 0x015FDA03, 0x7FFE1C64,
+ 0x012D96B0, 0x7FFE9CB2,
+ 0x00FB532F, 0x7FFF0942,
+ 0x00C90F88, 0x7FFF6216,
+ 0x0096CBC1, 0x7FFFA72C,
+ 0x006487E3, 0x7FFFD885,
+ 0x003243F5, 0x7FFFF621,
+ 0x00000000, 0x7FFFFFFF,
+ 0xFFCDBC0A, 0x7FFFF621,
+ 0xFF9B781D, 0x7FFFD885,
+ 0xFF69343E, 0x7FFFA72C,
+ 0xFF36F078, 0x7FFF6216,
+ 0xFF04ACD0, 0x7FFF0942,
+ 0xFED2694F, 0x7FFE9CB2,
+ 0xFEA025FC, 0x7FFE1C64,
+ 0xFE6DE2E0, 0x7FFD885A,
+ 0xFE3BA001, 0x7FFCE093,
+ 0xFE095D69, 0x7FFC250F,
+ 0xFDD71B1E, 0x7FFB55CE,
+ 0xFDA4D928, 0x7FFA72D1,
+ 0xFD72978F, 0x7FF97C17,
+ 0xFD40565B, 0x7FF871A1,
+ 0xFD0E1594, 0x7FF7536F,
+ 0xFCDBD541, 0x7FF62182,
+ 0xFCA99569, 0x7FF4DBD8,
+ 0xFC775616, 0x7FF38273,
+ 0xFC45174E, 0x7FF21553,
+ 0xFC12D919, 0x7FF09477,
+ 0xFBE09B80, 0x7FEEFFE1,
+ 0xFBAE5E89, 0x7FED5790,
+ 0xFB7C223C, 0x7FEB9B85,
+ 0xFB49E6A2, 0x7FE9CBC0,
+ 0xFB17ABC2, 0x7FE7E840,
+ 0xFAE571A4, 0x7FE5F108,
+ 0xFAB3384F, 0x7FE3E616,
+ 0xFA80FFCB, 0x7FE1C76B,
+ 0xFA4EC820, 0x7FDF9508,
+ 0xFA1C9156, 0x7FDD4EEC,
+ 0xF9EA5B75, 0x7FDAF518,
+ 0xF9B82683, 0x7FD8878D,
+ 0xF985F28A, 0x7FD6064B,
+ 0xF953BF90, 0x7FD37152,
+ 0xF9218D9E, 0x7FD0C8A3,
+ 0xF8EF5CBB, 0x7FCE0C3E,
+ 0xF8BD2CEF, 0x7FCB3C23,
+ 0xF88AFE41, 0x7FC85853,
+ 0xF858D0BA, 0x7FC560CF,
+ 0xF826A461, 0x7FC25596,
+ 0xF7F4793E, 0x7FBF36A9,
+ 0xF7C24F58, 0x7FBC040A,
+ 0xF79026B8, 0x7FB8BDB7,
+ 0xF75DFF65, 0x7FB563B2,
+ 0xF72BD967, 0x7FB1F5FC,
+ 0xF6F9B4C5, 0x7FAE7494,
+ 0xF6C79188, 0x7FAADF7C,
+ 0xF6956FB6, 0x7FA736B4,
+ 0xF6634F58, 0x7FA37A3C,
+ 0xF6313076, 0x7F9FAA15,
+ 0xF5FF1317, 0x7F9BC63F,
+ 0xF5CCF743, 0x7F97CEBC,
+ 0xF59ADD01, 0x7F93C38C,
+ 0xF568C45A, 0x7F8FA4AF,
+ 0xF536AD55, 0x7F8B7226,
+ 0xF50497FA, 0x7F872BF3,
+ 0xF4D28451, 0x7F82D214,
+ 0xF4A07260, 0x7F7E648B,
+ 0xF46E6231, 0x7F79E35A,
+ 0xF43C53CA, 0x7F754E7F,
+ 0xF40A4734, 0x7F70A5FD,
+ 0xF3D83C76, 0x7F6BE9D4,
+ 0xF3A63398, 0x7F671A04,
+ 0xF3742CA1, 0x7F62368F,
+ 0xF342279A, 0x7F5D3F75,
+ 0xF310248A, 0x7F5834B6,
+ 0xF2DE2378, 0x7F531654,
+ 0xF2AC246D, 0x7F4DE450,
+ 0xF27A2770, 0x7F489EAA,
+ 0xF2482C89, 0x7F434563,
+ 0xF21633C0, 0x7F3DD87C,
+ 0xF1E43D1C, 0x7F3857F5,
+ 0xF1B248A5, 0x7F32C3D0,
+ 0xF1805662, 0x7F2D1C0E,
+ 0xF14E665C, 0x7F2760AF,
+ 0xF11C789A, 0x7F2191B4,
+ 0xF0EA8D23, 0x7F1BAF1E,
+ 0xF0B8A401, 0x7F15B8EE,
+ 0xF086BD39, 0x7F0FAF24,
+ 0xF054D8D4, 0x7F0991C3,
+ 0xF022F6DA, 0x7F0360CB,
+ 0xEFF11752, 0x7EFD1C3C,
+ 0xEFBF3A44, 0x7EF6C418,
+ 0xEF8D5FB8, 0x7EF0585F,
+ 0xEF5B87B5, 0x7EE9D913,
+ 0xEF29B243, 0x7EE34635,
+ 0xEEF7DF6A, 0x7EDC9FC6,
+ 0xEEC60F31, 0x7ED5E5C6,
+ 0xEE9441A0, 0x7ECF1837,
+ 0xEE6276BF, 0x7EC8371A,
+ 0xEE30AE95, 0x7EC1426F,
+ 0xEDFEE92B, 0x7EBA3A39,
+ 0xEDCD2687, 0x7EB31E77,
+ 0xED9B66B2, 0x7EABEF2C,
+ 0xED69A9B2, 0x7EA4AC58,
+ 0xED37EF91, 0x7E9D55FC,
+ 0xED063855, 0x7E95EC19,
+ 0xECD48406, 0x7E8E6EB1,
+ 0xECA2D2AC, 0x7E86DDC5,
+ 0xEC71244F, 0x7E7F3956,
+ 0xEC3F78F5, 0x7E778165,
+ 0xEC0DD0A8, 0x7E6FB5F3,
+ 0xEBDC2B6D, 0x7E67D702,
+ 0xEBAA894E, 0x7E5FE493,
+ 0xEB78EA52, 0x7E57DEA6,
+ 0xEB474E80, 0x7E4FC53E,
+ 0xEB15B5E0, 0x7E47985B,
+ 0xEAE4207A, 0x7E3F57FE,
+ 0xEAB28E55, 0x7E37042A,
+ 0xEA80FF79, 0x7E2E9CDF,
+ 0xEA4F73EE, 0x7E26221E,
+ 0xEA1DEBBB, 0x7E1D93E9,
+ 0xE9EC66E8, 0x7E14F242,
+ 0xE9BAE57C, 0x7E0C3D29,
+ 0xE9896780, 0x7E03749F,
+ 0xE957ECFB, 0x7DFA98A7,
+ 0xE92675F4, 0x7DF1A942,
+ 0xE8F50273, 0x7DE8A670,
+ 0xE8C3927F, 0x7DDF9034,
+ 0xE8922621, 0x7DD6668E,
+ 0xE860BD60, 0x7DCD2981,
+ 0xE82F5844, 0x7DC3D90D,
+ 0xE7FDF6D3, 0x7DBA7534,
+ 0xE7CC9917, 0x7DB0FDF7,
+ 0xE79B3F16, 0x7DA77359,
+ 0xE769E8D8, 0x7D9DD55A,
+ 0xE7389664, 0x7D9423FB,
+ 0xE70747C3, 0x7D8A5F3F,
+ 0xE6D5FCFC, 0x7D808727,
+ 0xE6A4B616, 0x7D769BB5,
+ 0xE6737319, 0x7D6C9CE9,
+ 0xE642340D, 0x7D628AC5,
+ 0xE610F8F9, 0x7D58654C,
+ 0xE5DFC1E4, 0x7D4E2C7E,
+ 0xE5AE8ED8, 0x7D43E05E,
+ 0xE57D5FDA, 0x7D3980EC,
+ 0xE54C34F3, 0x7D2F0E2A,
+ 0xE51B0E2A, 0x7D24881A,
+ 0xE4E9EB86, 0x7D19EEBE,
+ 0xE4B8CD10, 0x7D0F4218,
+ 0xE487B2CF, 0x7D048228,
+ 0xE4569CCB, 0x7CF9AEF0,
+ 0xE4258B0A, 0x7CEEC873,
+ 0xE3F47D95, 0x7CE3CEB1,
+ 0xE3C37473, 0x7CD8C1AD,
+ 0xE3926FAC, 0x7CCDA168,
+ 0xE3616F47, 0x7CC26DE5,
+ 0xE330734C, 0x7CB72724,
+ 0xE2FF7BC3, 0x7CABCD27,
+ 0xE2CE88B2, 0x7CA05FF1,
+ 0xE29D9A22, 0x7C94DF82,
+ 0xE26CB01A, 0x7C894BDD,
+ 0xE23BCAA2, 0x7C7DA504,
+ 0xE20AE9C1, 0x7C71EAF8,
+ 0xE1DA0D7E, 0x7C661DBB,
+ 0xE1A935E1, 0x7C5A3D4F,
+ 0xE17862F3, 0x7C4E49B6,
+ 0xE14794B9, 0x7C4242F2,
+ 0xE116CB3D, 0x7C362904,
+ 0xE0E60684, 0x7C29FBEE,
+ 0xE0B54698, 0x7C1DBBB2,
+ 0xE0848B7F, 0x7C116853,
+ 0xE053D541, 0x7C0501D1,
+ 0xE02323E5, 0x7BF88830,
+ 0xDFF27773, 0x7BEBFB70,
+ 0xDFC1CFF2, 0x7BDF5B94,
+ 0xDF912D6A, 0x7BD2A89E,
+ 0xDF608FE3, 0x7BC5E28F,
+ 0xDF2FF764, 0x7BB9096A,
+ 0xDEFF63F4, 0x7BAC1D31,
+ 0xDECED59B, 0x7B9F1DE5,
+ 0xDE9E4C60, 0x7B920B89,
+ 0xDE6DC84B, 0x7B84E61E,
+ 0xDE3D4963, 0x7B77ADA8,
+ 0xDE0CCFB1, 0x7B6A6227,
+ 0xDDDC5B3A, 0x7B5D039D,
+ 0xDDABEC07, 0x7B4F920E,
+ 0xDD7B8220, 0x7B420D7A,
+ 0xDD4B1D8B, 0x7B3475E4,
+ 0xDD1ABE51, 0x7B26CB4F,
+ 0xDCEA6478, 0x7B190DBB,
+ 0xDCBA1008, 0x7B0B3D2C,
+ 0xDC89C108, 0x7AFD59A3,
+ 0xDC597781, 0x7AEF6323,
+ 0xDC293379, 0x7AE159AE,
+ 0xDBF8F4F8, 0x7AD33D45,
+ 0xDBC8BC05, 0x7AC50DEB,
+ 0xDB9888A8, 0x7AB6CBA3,
+ 0xDB685AE8, 0x7AA8766E,
+ 0xDB3832CD, 0x7A9A0E4F,
+ 0xDB08105E, 0x7A8B9348,
+ 0xDAD7F3A2, 0x7A7D055B,
+ 0xDAA7DCA1, 0x7A6E648A,
+ 0xDA77CB62, 0x7A5FB0D8,
+ 0xDA47BFED, 0x7A50EA46,
+ 0xDA17BA4A, 0x7A4210D8,
+ 0xD9E7BA7E, 0x7A33248F,
+ 0xD9B7C093, 0x7A24256E,
+ 0xD987CC8F, 0x7A151377,
+ 0xD957DE7A, 0x7A05EEAD,
+ 0xD927F65B, 0x79F6B711,
+ 0xD8F81439, 0x79E76CA6,
+ 0xD8C8381C, 0x79D80F6F,
+ 0xD898620C, 0x79C89F6D,
+ 0xD868920F, 0x79B91CA4,
+ 0xD838C82D, 0x79A98715,
+ 0xD809046D, 0x7999DEC3,
+ 0xD7D946D7, 0x798A23B1,
+ 0xD7A98F73, 0x797A55E0,
+ 0xD779DE46, 0x796A7554,
+ 0xD74A335A, 0x795A820E,
+ 0xD71A8EB5, 0x794A7C11,
+ 0xD6EAF05E, 0x793A6360,
+ 0xD6BB585D, 0x792A37FE,
+ 0xD68BC6BA, 0x7919F9EB,
+ 0xD65C3B7B, 0x7909A92C,
+ 0xD62CB6A7, 0x78F945C3,
+ 0xD5FD3847, 0x78E8CFB1,
+ 0xD5CDC062, 0x78D846FB,
+ 0xD59E4EFE, 0x78C7ABA1,
+ 0xD56EE424, 0x78B6FDA8,
+ 0xD53F7FDA, 0x78A63D10,
+ 0xD5102227, 0x789569DE,
+ 0xD4E0CB14, 0x78848413,
+ 0xD4B17AA7, 0x78738BB3,
+ 0xD48230E8, 0x786280BF,
+ 0xD452EDDE, 0x7851633B,
+ 0xD423B190, 0x78403328,
+ 0xD3F47C06, 0x782EF08B,
+ 0xD3C54D46, 0x781D9B64,
+ 0xD3962559, 0x780C33B8,
+ 0xD3670445, 0x77FAB988,
+ 0xD337EA12, 0x77E92CD8,
+ 0xD308D6C6, 0x77D78DAA,
+ 0xD2D9CA6A, 0x77C5DC01,
+ 0xD2AAC504, 0x77B417DF,
+ 0xD27BC69C, 0x77A24148,
+ 0xD24CCF38, 0x7790583D,
+ 0xD21DDEE1, 0x777E5CC3,
+ 0xD1EEF59E, 0x776C4EDB,
+ 0xD1C01374, 0x775A2E88,
+ 0xD191386D, 0x7747FBCE,
+ 0xD162648F, 0x7735B6AE,
+ 0xD13397E1, 0x77235F2D,
+ 0xD104D26B, 0x7710F54B,
+ 0xD0D61433, 0x76FE790E,
+ 0xD0A75D42, 0x76EBEA77,
+ 0xD078AD9D, 0x76D94988,
+ 0xD04A054D, 0x76C69646,
+ 0xD01B6459, 0x76B3D0B3,
+ 0xCFECCAC7, 0x76A0F8D2,
+ 0xCFBE389F, 0x768E0EA5,
+ 0xCF8FADE8, 0x767B1230,
+ 0xCF612AAA, 0x76680376,
+ 0xCF32AEEB, 0x7654E279,
+ 0xCF043AB2, 0x7641AF3C,
+ 0xCED5CE08, 0x762E69C3,
+ 0xCEA768F2, 0x761B1211,
+ 0xCE790B78, 0x7607A827,
+ 0xCE4AB5A2, 0x75F42C0A,
+ 0xCE1C6776, 0x75E09DBD,
+ 0xCDEE20FC, 0x75CCFD42,
+ 0xCDBFE23A, 0x75B94A9C,
+ 0xCD91AB38, 0x75A585CF,
+ 0xCD637BFD, 0x7591AEDD,
+ 0xCD355490, 0x757DC5CA,
+ 0xCD0734F8, 0x7569CA98,
+ 0xCCD91D3D, 0x7555BD4B,
+ 0xCCAB0D65, 0x75419DE6,
+ 0xCC7D0577, 0x752D6C6C,
+ 0xCC4F057B, 0x751928E0,
+ 0xCC210D78, 0x7504D345,
+ 0xCBF31D75, 0x74F06B9E,
+ 0xCBC53578, 0x74DBF1EF,
+ 0xCB975589, 0x74C7663A,
+ 0xCB697DB0, 0x74B2C883,
+ 0xCB3BADF2, 0x749E18CD,
+ 0xCB0DE658, 0x7489571B,
+ 0xCAE026E8, 0x74748371,
+ 0xCAB26FA9, 0x745F9DD1,
+ 0xCA84C0A2, 0x744AA63E,
+ 0xCA5719DB, 0x74359CBD,
+ 0xCA297B5A, 0x74208150,
+ 0xC9FBE527, 0x740B53FA,
+ 0xC9CE5748, 0x73F614C0,
+ 0xC9A0D1C4, 0x73E0C3A3,
+ 0xC97354A3, 0x73CB60A7,
+ 0xC945DFEC, 0x73B5EBD0,
+ 0xC91873A5, 0x73A06522,
+ 0xC8EB0FD6, 0x738ACC9E,
+ 0xC8BDB485, 0x73752249,
+ 0xC89061BA, 0x735F6626,
+ 0xC863177B, 0x73499838,
+ 0xC835D5D0, 0x7333B883,
+ 0xC8089CBF, 0x731DC709,
+ 0xC7DB6C50, 0x7307C3D0,
+ 0xC7AE4489, 0x72F1AED8,
+ 0xC7812571, 0x72DB8828,
+ 0xC7540F10, 0x72C54FC0,
+ 0xC727016C, 0x72AF05A6,
+ 0xC6F9FC8D, 0x7298A9DC,
+ 0xC6CD0079, 0x72823C66,
+ 0xC6A00D36, 0x726BBD48,
+ 0xC67322CD, 0x72552C84,
+ 0xC6464144, 0x723E8A1F,
+ 0xC61968A2, 0x7227D61C,
+ 0xC5EC98ED, 0x7211107D,
+ 0xC5BFD22E, 0x71FA3948,
+ 0xC593146A, 0x71E3507F,
+ 0xC5665FA8, 0x71CC5626,
+ 0xC539B3F0, 0x71B54A40,
+ 0xC50D1148, 0x719E2CD2,
+ 0xC4E077B8, 0x7186FDDE,
+ 0xC4B3E746, 0x716FBD68,
+ 0xC4875FF8, 0x71586B73,
+ 0xC45AE1D7, 0x71410804,
+ 0xC42E6CE8, 0x7129931E,
+ 0xC4020132, 0x71120CC5,
+ 0xC3D59EBD, 0x70FA74FB,
+ 0xC3A9458F, 0x70E2CBC6,
+ 0xC37CF5B0, 0x70CB1127,
+ 0xC350AF25, 0x70B34524,
+ 0xC32471F6, 0x709B67C0,
+ 0xC2F83E2A, 0x708378FE,
+ 0xC2CC13C7, 0x706B78E3,
+ 0xC29FF2D4, 0x70536771,
+ 0xC273DB58, 0x703B44AC,
+ 0xC247CD5A, 0x70231099,
+ 0xC21BC8E0, 0x700ACB3B,
+ 0xC1EFCDF2, 0x6FF27496,
+ 0xC1C3DC96, 0x6FDA0CAD,
+ 0xC197F4D3, 0x6FC19385,
+ 0xC16C16B0, 0x6FA90920,
+ 0xC1404233, 0x6F906D84,
+ 0xC1147763, 0x6F77C0B3,
+ 0xC0E8B648, 0x6F5F02B1,
+ 0xC0BCFEE7, 0x6F463383,
+ 0xC0915147, 0x6F2D532C,
+ 0xC065AD70, 0x6F1461AF,
+ 0xC03A1368, 0x6EFB5F12,
+ 0xC00E8335, 0x6EE24B57,
+ 0xBFE2FCDF, 0x6EC92682,
+ 0xBFB7806C, 0x6EAFF098,
+ 0xBF8C0DE2, 0x6E96A99C,
+ 0xBF60A54A, 0x6E7D5193,
+ 0xBF3546A8, 0x6E63E87F,
+ 0xBF09F204, 0x6E4A6E65,
+ 0xBEDEA765, 0x6E30E349,
+ 0xBEB366D1, 0x6E17472F,
+ 0xBE88304F, 0x6DFD9A1B,
+ 0xBE5D03E5, 0x6DE3DC11,
+ 0xBE31E19B, 0x6DCA0D14,
+ 0xBE06C977, 0x6DB02D29,
+ 0xBDDBBB7F, 0x6D963C54,
+ 0xBDB0B7BA, 0x6D7C3A98,
+ 0xBD85BE2F, 0x6D6227FA,
+ 0xBD5ACEE5, 0x6D48047E,
+ 0xBD2FE9E1, 0x6D2DD027,
+ 0xBD050F2C, 0x6D138AFA,
+ 0xBCDA3ECA, 0x6CF934FB,
+ 0xBCAF78C3, 0x6CDECE2E,
+ 0xBC84BD1E, 0x6CC45697,
+ 0xBC5A0BE1, 0x6CA9CE3A,
+ 0xBC2F6513, 0x6C8F351C,
+ 0xBC04C8BA, 0x6C748B3F,
+ 0xBBDA36DC, 0x6C59D0A9,
+ 0xBBAFAF81, 0x6C3F055D,
+ 0xBB8532AF, 0x6C242960,
+ 0xBB5AC06C, 0x6C093CB6,
+ 0xBB3058C0, 0x6BEE3F62,
+ 0xBB05FBB0, 0x6BD3316A,
+ 0xBADBA943, 0x6BB812D0,
+ 0xBAB1617F, 0x6B9CE39B,
+ 0xBA87246C, 0x6B81A3CD,
+ 0xBA5CF210, 0x6B66536A,
+ 0xBA32CA70, 0x6B4AF278,
+ 0xBA08AD94, 0x6B2F80FA,
+ 0xB9DE9B83, 0x6B13FEF5,
+ 0xB9B49442, 0x6AF86C6C,
+ 0xB98A97D8, 0x6ADCC964,
+ 0xB960A64B, 0x6AC115E1,
+ 0xB936BFA3, 0x6AA551E8,
+ 0xB90CE3E6, 0x6A897D7D,
+ 0xB8E31319, 0x6A6D98A4,
+ 0xB8B94D44, 0x6A51A361,
+ 0xB88F926C, 0x6A359DB9,
+ 0xB865E299, 0x6A1987B0,
+ 0xB83C3DD1, 0x69FD614A,
+ 0xB812A419, 0x69E12A8C,
+ 0xB7E9157A, 0x69C4E37A,
+ 0xB7BF91F8, 0x69A88C18,
+ 0xB796199B, 0x698C246C,
+ 0xB76CAC68, 0x696FAC78,
+ 0xB7434A67, 0x69532442,
+ 0xB719F39D, 0x69368BCE,
+ 0xB6F0A811, 0x6919E320,
+ 0xB6C767CA, 0x68FD2A3D,
+ 0xB69E32CD, 0x68E06129,
+ 0xB6750921, 0x68C387E9,
+ 0xB64BEACC, 0x68A69E81,
+ 0xB622D7D5, 0x6889A4F5,
+ 0xB5F9D042, 0x686C9B4B,
+ 0xB5D0D41A, 0x684F8186,
+ 0xB5A7E362, 0x683257AA,
+ 0xB57EFE21, 0x68151DBE,
+ 0xB556245E, 0x67F7D3C4,
+ 0xB52D561E, 0x67DA79C2,
+ 0xB5049368, 0x67BD0FBC,
+ 0xB4DBDC42, 0x679F95B7,
+ 0xB4B330B2, 0x67820BB6,
+ 0xB48A90C0, 0x676471C0,
+ 0xB461FC70, 0x6746C7D7,
+ 0xB43973C9, 0x67290E02,
+ 0xB410F6D2, 0x670B4443,
+ 0xB3E88591, 0x66ED6AA1,
+ 0xB3C0200C, 0x66CF811F,
+ 0xB397C649, 0x66B187C3,
+ 0xB36F784E, 0x66937E90,
+ 0xB3473622, 0x6675658C,
+ 0xB31EFFCB, 0x66573CBB,
+ 0xB2F6D54F, 0x66390422,
+ 0xB2CEB6B5, 0x661ABBC5,
+ 0xB2A6A401, 0x65FC63A9,
+ 0xB27E9D3B, 0x65DDFBD3,
+ 0xB256A26A, 0x65BF8447,
+ 0xB22EB392, 0x65A0FD0B,
+ 0xB206D0BA, 0x65826622,
+ 0xB1DEF9E8, 0x6563BF92,
+ 0xB1B72F23, 0x6545095F,
+ 0xB18F7070, 0x6526438E,
+ 0xB167BDD6, 0x65076E24,
+ 0xB140175B, 0x64E88926,
+ 0xB1187D05, 0x64C99498,
+ 0xB0F0EEDA, 0x64AA907F,
+ 0xB0C96CDF, 0x648B7CDF,
+ 0xB0A1F71C, 0x646C59BF,
+ 0xB07A8D97, 0x644D2722,
+ 0xB0533055, 0x642DE50D,
+ 0xB02BDF5C, 0x640E9385,
+ 0xB0049AB2, 0x63EF328F,
+ 0xAFDD625F, 0x63CFC230,
+ 0xAFB63667, 0x63B0426D,
+ 0xAF8F16D0, 0x6390B34A,
+ 0xAF6803A1, 0x637114CC,
+ 0xAF40FCE0, 0x635166F8,
+ 0xAF1A0293, 0x6331A9D4,
+ 0xAEF314BF, 0x6311DD63,
+ 0xAECC336B, 0x62F201AC,
+ 0xAEA55E9D, 0x62D216B2,
+ 0xAE7E965B, 0x62B21C7B,
+ 0xAE57DAAA, 0x6292130C,
+ 0xAE312B91, 0x6271FA69,
+ 0xAE0A8916, 0x6251D297,
+ 0xADE3F33E, 0x62319B9D,
+ 0xADBD6A10, 0x6211557D,
+ 0xAD96ED91, 0x61F1003E,
+ 0xAD707DC8, 0x61D09BE5,
+ 0xAD4A1ABA, 0x61B02876,
+ 0xAD23C46D, 0x618FA5F6,
+ 0xACFD7AE8, 0x616F146B,
+ 0xACD73E30, 0x614E73D9,
+ 0xACB10E4A, 0x612DC446,
+ 0xAC8AEB3E, 0x610D05B7,
+ 0xAC64D510, 0x60EC3830,
+ 0xAC3ECBC7, 0x60CB5BB6,
+ 0xAC18CF68, 0x60AA704F,
+ 0xABF2DFFA, 0x60897600,
+ 0xABCCFD82, 0x60686CCE,
+ 0xABA72806, 0x604754BE,
+ 0xAB815F8C, 0x60262DD5,
+ 0xAB5BA41A, 0x6004F818,
+ 0xAB35F5B5, 0x5FE3B38D,
+ 0xAB105464, 0x5FC26038,
+ 0xAAEAC02B, 0x5FA0FE1E,
+ 0xAAC53912, 0x5F7F8D46,
+ 0xAA9FBF1D, 0x5F5E0DB3,
+ 0xAA7A5253, 0x5F3C7F6B,
+ 0xAA54F2B9, 0x5F1AE273,
+ 0xAA2FA055, 0x5EF936D1,
+ 0xAA0A5B2D, 0x5ED77C89,
+ 0xA9E52347, 0x5EB5B3A1,
+ 0xA9BFF8A8, 0x5E93DC1F,
+ 0xA99ADB56, 0x5E71F606,
+ 0xA975CB56, 0x5E50015D,
+ 0xA950C8AF, 0x5E2DFE28,
+ 0xA92BD366, 0x5E0BEC6E,
+ 0xA906EB81, 0x5DE9CC32,
+ 0xA8E21106, 0x5DC79D7C,
+ 0xA8BD43FA, 0x5DA5604E,
+ 0xA8988463, 0x5D8314B0,
+ 0xA873D246, 0x5D60BAA6,
+ 0xA84F2DA9, 0x5D3E5236,
+ 0xA82A9693, 0x5D1BDB65,
+ 0xA8060D08, 0x5CF95638,
+ 0xA7E1910E, 0x5CD6C2B4,
+ 0xA7BD22AB, 0x5CB420DF,
+ 0xA798C1E4, 0x5C9170BF,
+ 0xA7746EC0, 0x5C6EB258,
+ 0xA7502943, 0x5C4BE5B0,
+ 0xA72BF173, 0x5C290ACC,
+ 0xA707C756, 0x5C0621B2,
+ 0xA6E3AAF2, 0x5BE32A67,
+ 0xA6BF9C4B, 0x5BC024F0,
+ 0xA69B9B68, 0x5B9D1153,
+ 0xA677A84E, 0x5B79EF96,
+ 0xA653C302, 0x5B56BFBD,
+ 0xA62FEB8B, 0x5B3381CE,
+ 0xA60C21ED, 0x5B1035CF,
+ 0xA5E8662F, 0x5AECDBC4,
+ 0xA5C4B855, 0x5AC973B4,
+ 0xA5A11865, 0x5AA5FDA4,
+ 0xA57D8666, 0x5A82799A,
+ 0xA55A025B, 0x5A5EE79A,
+ 0xA5368C4B, 0x5A3B47AA,
+ 0xA513243B, 0x5A1799D0,
+ 0xA4EFCA31, 0x59F3DE12,
+ 0xA4CC7E31, 0x59D01474,
+ 0xA4A94042, 0x59AC3CFD,
+ 0xA4861069, 0x598857B1,
+ 0xA462EEAC, 0x59646497,
+ 0xA43FDB0F, 0x594063B4,
+ 0xA41CD598, 0x591C550E,
+ 0xA3F9DE4D, 0x58F838A9,
+ 0xA3D6F533, 0x58D40E8C,
+ 0xA3B41A4F, 0x58AFD6BC,
+ 0xA3914DA7, 0x588B913F,
+ 0xA36E8F40, 0x58673E1B,
+ 0xA34BDF20, 0x5842DD54,
+ 0xA3293D4B, 0x581E6EF1,
+ 0xA306A9C7, 0x57F9F2F7,
+ 0xA2E4249A, 0x57D5696C,
+ 0xA2C1ADC9, 0x57B0D256,
+ 0xA29F4559, 0x578C2DB9,
+ 0xA27CEB4F, 0x57677B9D,
+ 0xA25A9FB1, 0x5742BC05,
+ 0xA2386283, 0x571DEEF9,
+ 0xA21633CD, 0x56F9147E,
+ 0xA1F41391, 0x56D42C99,
+ 0xA1D201D7, 0x56AF3750,
+ 0xA1AFFEA2, 0x568A34A9,
+ 0xA18E09F9, 0x566524AA,
+ 0xA16C23E1, 0x56400757,
+ 0xA14A4C5E, 0x561ADCB8,
+ 0xA1288376, 0x55F5A4D2,
+ 0xA106C92E, 0x55D05FAA,
+ 0xA0E51D8C, 0x55AB0D46,
+ 0xA0C38094, 0x5585ADAC,
+ 0xA0A1F24C, 0x556040E2,
+ 0xA08072BA, 0x553AC6ED,
+ 0xA05F01E1, 0x55153FD4,
+ 0xA03D9FC7, 0x54EFAB9C,
+ 0xA01C4C72, 0x54CA0A4A,
+ 0x9FFB07E7, 0x54A45BE5,
+ 0x9FD9D22A, 0x547EA073,
+ 0x9FB8AB41, 0x5458D7F9,
+ 0x9F979331, 0x5433027D,
+ 0x9F7689FF, 0x540D2005,
+ 0x9F558FB0, 0x53E73097,
+ 0x9F34A449, 0x53C13438,
+ 0x9F13C7D0, 0x539B2AEF,
+ 0x9EF2FA48, 0x537514C1,
+ 0x9ED23BB9, 0x534EF1B5,
+ 0x9EB18C26, 0x5328C1D0,
+ 0x9E90EB94, 0x53028517,
+ 0x9E705A09, 0x52DC3B92,
+ 0x9E4FD789, 0x52B5E545,
+ 0x9E2F641A, 0x528F8237,
+ 0x9E0EFFC1, 0x5269126E,
+ 0x9DEEAA82, 0x524295EF,
+ 0x9DCE6462, 0x521C0CC1,
+ 0x9DAE2D68, 0x51F576E9,
+ 0x9D8E0596, 0x51CED46E,
+ 0x9D6DECF4, 0x51A82555,
+ 0x9D4DE384, 0x518169A4,
+ 0x9D2DE94D, 0x515AA162,
+ 0x9D0DFE53, 0x5133CC94,
+ 0x9CEE229C, 0x510CEB40,
+ 0x9CCE562B, 0x50E5FD6C,
+ 0x9CAE9907, 0x50BF031F,
+ 0x9C8EEB33, 0x5097FC5E,
+ 0x9C6F4CB5, 0x5070E92F,
+ 0x9C4FBD92, 0x5049C999,
+ 0x9C303DCF, 0x50229DA0,
+ 0x9C10CD70, 0x4FFB654D,
+ 0x9BF16C7A, 0x4FD420A3,
+ 0x9BD21AF2, 0x4FACCFAB,
+ 0x9BB2D8DD, 0x4F857268,
+ 0x9B93A640, 0x4F5E08E3,
+ 0x9B748320, 0x4F369320,
+ 0x9B556F80, 0x4F0F1126,
+ 0x9B366B67, 0x4EE782FA,
+ 0x9B1776D9, 0x4EBFE8A4,
+ 0x9AF891DB, 0x4E984229,
+ 0x9AD9BC71, 0x4E708F8F,
+ 0x9ABAF6A0, 0x4E48D0DC,
+ 0x9A9C406D, 0x4E210617,
+ 0x9A7D99DD, 0x4DF92F45,
+ 0x9A5F02F5, 0x4DD14C6E,
+ 0x9A407BB8, 0x4DA95D96,
+ 0x9A22042C, 0x4D8162C4,
+ 0x9A039C56, 0x4D595BFE,
+ 0x99E5443A, 0x4D31494B,
+ 0x99C6FBDE, 0x4D092AB0,
+ 0x99A8C344, 0x4CE10034,
+ 0x998A9A73, 0x4CB8C9DD,
+ 0x996C816F, 0x4C9087B1,
+ 0x994E783C, 0x4C6839B6,
+ 0x99307EE0, 0x4C3FDFF3,
+ 0x9912955E, 0x4C177A6E,
+ 0x98F4BBBC, 0x4BEF092D,
+ 0x98D6F1FE, 0x4BC68C36,
+ 0x98B93828, 0x4B9E038F,
+ 0x989B8E3F, 0x4B756F3F,
+ 0x987DF449, 0x4B4CCF4D,
+ 0x98606A48, 0x4B2423BD,
+ 0x9842F043, 0x4AFB6C97,
+ 0x9825863D, 0x4AD2A9E1,
+ 0x98082C3B, 0x4AA9DBA1,
+ 0x97EAE241, 0x4A8101DE,
+ 0x97CDA855, 0x4A581C9D,
+ 0x97B07E7A, 0x4A2F2BE5,
+ 0x979364B5, 0x4A062FBD,
+ 0x97765B0A, 0x49DD282A,
+ 0x9759617E, 0x49B41533,
+ 0x973C7816, 0x498AF6DE,
+ 0x971F9ED6, 0x4961CD32,
+ 0x9702D5C2, 0x49389836,
+ 0x96E61CDF, 0x490F57EE,
+ 0x96C97431, 0x48E60C62,
+ 0x96ACDBBD, 0x48BCB598,
+ 0x96905387, 0x48935397,
+ 0x9673DB94, 0x4869E664,
+ 0x965773E7, 0x48406E07,
+ 0x963B1C85, 0x4816EA85,
+ 0x961ED573, 0x47ED5BE6,
+ 0x96029EB5, 0x47C3C22E,
+ 0x95E6784F, 0x479A1D66,
+ 0x95CA6246, 0x47706D93,
+ 0x95AE5C9E, 0x4746B2BC,
+ 0x9592675B, 0x471CECE6,
+ 0x95768282, 0x46F31C1A,
+ 0x955AAE17, 0x46C9405C,
+ 0x953EEA1E, 0x469F59B4,
+ 0x9523369B, 0x46756827,
+ 0x95079393, 0x464B6BBD,
+ 0x94EC010B, 0x4621647C,
+ 0x94D07F05, 0x45F7526B,
+ 0x94B50D87, 0x45CD358F,
+ 0x9499AC95, 0x45A30DF0,
+ 0x947E5C32, 0x4578DB93,
+ 0x94631C64, 0x454E9E80,
+ 0x9447ED2F, 0x452456BC,
+ 0x942CCE95, 0x44FA044F,
+ 0x9411C09D, 0x44CFA73F,
+ 0x93F6C34A, 0x44A53F93,
+ 0x93DBD69F, 0x447ACD50,
+ 0x93C0FAA2, 0x4450507E,
+ 0x93A62F56, 0x4425C923,
+ 0x938B74C0, 0x43FB3745,
+ 0x9370CAE4, 0x43D09AEC,
+ 0x935631C5, 0x43A5F41E,
+ 0x933BA968, 0x437B42E1,
+ 0x932131D1, 0x4350873C,
+ 0x9306CB04, 0x4325C135,
+ 0x92EC7505, 0x42FAF0D4,
+ 0x92D22FD8, 0x42D0161E,
+ 0x92B7FB82, 0x42A5311A,
+ 0x929DD805, 0x427A41D0,
+ 0x9283C567, 0x424F4845,
+ 0x9269C3AC, 0x42244480,
+ 0x924FD2D6, 0x41F93688,
+ 0x9235F2EB, 0x41CE1E64,
+ 0x921C23EE, 0x41A2FC1A,
+ 0x920265E4, 0x4177CFB0,
+ 0x91E8B8D0, 0x414C992E,
+ 0x91CF1CB6, 0x4121589A,
+ 0x91B5919A, 0x40F60DFB,
+ 0x919C1780, 0x40CAB957,
+ 0x9182AE6C, 0x409F5AB6,
+ 0x91695663, 0x4073F21D,
+ 0x91500F67, 0x40487F93,
+ 0x9136D97D, 0x401D0320,
+ 0x911DB4A8, 0x3FF17CCA,
+ 0x9104A0ED, 0x3FC5EC97,
+ 0x90EB9E50, 0x3F9A528F,
+ 0x90D2ACD3, 0x3F6EAEB8,
+ 0x90B9CC7C, 0x3F430118,
+ 0x90A0FD4E, 0x3F1749B7,
+ 0x90883F4C, 0x3EEB889C,
+ 0x906F927B, 0x3EBFBDCC,
+ 0x9056F6DF, 0x3E93E94F,
+ 0x903E6C7A, 0x3E680B2C,
+ 0x9025F352, 0x3E3C2369,
+ 0x900D8B69, 0x3E10320D,
+ 0x8FF534C4, 0x3DE4371F,
+ 0x8FDCEF66, 0x3DB832A5,
+ 0x8FC4BB53, 0x3D8C24A7,
+ 0x8FAC988E, 0x3D600D2B,
+ 0x8F94871D, 0x3D33EC39,
+ 0x8F7C8701, 0x3D07C1D5,
+ 0x8F64983F, 0x3CDB8E09,
+ 0x8F4CBADB, 0x3CAF50DA,
+ 0x8F34EED8, 0x3C830A4F,
+ 0x8F1D343A, 0x3C56BA70,
+ 0x8F058B04, 0x3C2A6142,
+ 0x8EEDF33B, 0x3BFDFECD,
+ 0x8ED66CE1, 0x3BD19317,
+ 0x8EBEF7FB, 0x3BA51E29,
+ 0x8EA7948C, 0x3B78A007,
+ 0x8E904298, 0x3B4C18BA,
+ 0x8E790222, 0x3B1F8847,
+ 0x8E61D32D, 0x3AF2EEB7,
+ 0x8E4AB5BF, 0x3AC64C0F,
+ 0x8E33A9D9, 0x3A99A057,
+ 0x8E1CAF80, 0x3A6CEB95,
+ 0x8E05C6B7, 0x3A402DD1,
+ 0x8DEEEF82, 0x3A136712,
+ 0x8DD829E4, 0x39E6975D,
+ 0x8DC175E0, 0x39B9BEBB,
+ 0x8DAAD37B, 0x398CDD32,
+ 0x8D9442B7, 0x395FF2C9,
+ 0x8D7DC399, 0x3932FF87,
+ 0x8D675623, 0x39060372,
+ 0x8D50FA59, 0x38D8FE93,
+ 0x8D3AB03F, 0x38ABF0EF,
+ 0x8D2477D8, 0x387EDA8E,
+ 0x8D0E5127, 0x3851BB76,
+ 0x8CF83C30, 0x382493B0,
+ 0x8CE238F6, 0x37F76340,
+ 0x8CCC477D, 0x37CA2A30,
+ 0x8CB667C7, 0x379CE884,
+ 0x8CA099D9, 0x376F9E46,
+ 0x8C8ADDB6, 0x37424B7A,
+ 0x8C753361, 0x3714F02A,
+ 0x8C5F9ADD, 0x36E78C5A,
+ 0x8C4A142F, 0x36BA2013,
+ 0x8C349F58, 0x368CAB5C,
+ 0x8C1F3C5C, 0x365F2E3B,
+ 0x8C09EB40, 0x3631A8B7,
+ 0x8BF4AC05, 0x36041AD9,
+ 0x8BDF7EAF, 0x35D684A5,
+ 0x8BCA6342, 0x35A8E624,
+ 0x8BB559C1, 0x357B3F5D,
+ 0x8BA0622F, 0x354D9056,
+ 0x8B8B7C8F, 0x351FD917,
+ 0x8B76A8E4, 0x34F219A7,
+ 0x8B61E732, 0x34C4520D,
+ 0x8B4D377C, 0x3496824F,
+ 0x8B3899C5, 0x3468AA76,
+ 0x8B240E10, 0x343ACA87,
+ 0x8B0F9461, 0x340CE28A,
+ 0x8AFB2CBA, 0x33DEF287,
+ 0x8AE6D71F, 0x33B0FA84,
+ 0x8AD29393, 0x3382FA88,
+ 0x8ABE6219, 0x3354F29A,
+ 0x8AAA42B4, 0x3326E2C2,
+ 0x8A963567, 0x32F8CB07,
+ 0x8A823A35, 0x32CAAB6F,
+ 0x8A6E5122, 0x329C8402,
+ 0x8A5A7A30, 0x326E54C7,
+ 0x8A46B563, 0x32401DC5,
+ 0x8A3302BD, 0x3211DF03,
+ 0x8A1F6242, 0x31E39889,
+ 0x8A0BD3F5, 0x31B54A5D,
+ 0x89F857D8, 0x3186F487,
+ 0x89E4EDEE, 0x3158970D,
+ 0x89D1963C, 0x312A31F8,
+ 0x89BE50C3, 0x30FBC54D,
+ 0x89AB1D86, 0x30CD5114,
+ 0x8997FC89, 0x309ED555,
+ 0x8984EDCF, 0x30705217,
+ 0x8971F15A, 0x3041C760,
+ 0x895F072D, 0x30133538,
+ 0x894C2F4C, 0x2FE49BA6,
+ 0x893969B9, 0x2FB5FAB2,
+ 0x8926B677, 0x2F875262,
+ 0x89141589, 0x2F58A2BD,
+ 0x890186F1, 0x2F29EBCC,
+ 0x88EF0AB4, 0x2EFB2D94,
+ 0x88DCA0D3, 0x2ECC681E,
+ 0x88CA4951, 0x2E9D9B70,
+ 0x88B80431, 0x2E6EC792,
+ 0x88A5D177, 0x2E3FEC8B,
+ 0x8893B124, 0x2E110A62,
+ 0x8881A33C, 0x2DE2211E,
+ 0x886FA7C2, 0x2DB330C7,
+ 0x885DBEB7, 0x2D843963,
+ 0x884BE820, 0x2D553AFB,
+ 0x883A23FE, 0x2D263595,
+ 0x88287255, 0x2CF72939,
+ 0x8816D327, 0x2CC815ED,
+ 0x88054677, 0x2C98FBBA,
+ 0x87F3CC47, 0x2C69DAA6,
+ 0x87E2649B, 0x2C3AB2B9,
+ 0x87D10F75, 0x2C0B83F9,
+ 0x87BFCCD7, 0x2BDC4E6F,
+ 0x87AE9CC5, 0x2BAD1221,
+ 0x879D7F40, 0x2B7DCF17,
+ 0x878C744C, 0x2B4E8558,
+ 0x877B7BEC, 0x2B1F34EB,
+ 0x876A9621, 0x2AEFDDD8,
+ 0x8759C2EF, 0x2AC08025,
+ 0x87490257, 0x2A911BDB,
+ 0x8738545E, 0x2A61B101,
+ 0x8727B904, 0x2A323F9D,
+ 0x8717304E, 0x2A02C7B8,
+ 0x8706BA3C, 0x29D34958,
+ 0x86F656D3, 0x29A3C484,
+ 0x86E60614, 0x29743945,
+ 0x86D5C802, 0x2944A7A2,
+ 0x86C59C9F, 0x29150FA1,
+ 0x86B583EE, 0x28E5714A,
+ 0x86A57DF1, 0x28B5CCA5,
+ 0x86958AAB, 0x288621B9,
+ 0x8685AA1F, 0x2856708C,
+ 0x8675DC4E, 0x2826B928,
+ 0x8666213C, 0x27F6FB92,
+ 0x865678EA, 0x27C737D2,
+ 0x8646E35B, 0x27976DF1,
+ 0x86376092, 0x27679DF4,
+ 0x8627F090, 0x2737C7E3,
+ 0x86189359, 0x2707EBC6,
+ 0x860948EE, 0x26D809A5,
+ 0x85FA1152, 0x26A82185,
+ 0x85EAEC88, 0x26783370,
+ 0x85DBDA91, 0x26483F6C,
+ 0x85CCDB70, 0x26184581,
+ 0x85BDEF27, 0x25E845B5,
+ 0x85AF15B9, 0x25B84012,
+ 0x85A04F28, 0x2588349D,
+ 0x85919B75, 0x2558235E,
+ 0x8582FAA4, 0x25280C5D,
+ 0x85746CB7, 0x24F7EFA1,
+ 0x8565F1B0, 0x24C7CD32,
+ 0x85578991, 0x2497A517,
+ 0x8549345C, 0x24677757,
+ 0x853AF214, 0x243743FA,
+ 0x852CC2BA, 0x24070B07,
+ 0x851EA652, 0x23D6CC86,
+ 0x85109CDC, 0x23A6887E,
+ 0x8502A65C, 0x23763EF7,
+ 0x84F4C2D3, 0x2345EFF7,
+ 0x84E6F244, 0x23159B87,
+ 0x84D934B0, 0x22E541AE,
+ 0x84CB8A1B, 0x22B4E274,
+ 0x84BDF285, 0x22847DDF,
+ 0x84B06DF1, 0x225413F8,
+ 0x84A2FC62, 0x2223A4C5,
+ 0x84959DD9, 0x21F3304E,
+ 0x84885257, 0x21C2B69C,
+ 0x847B19E1, 0x219237B4,
+ 0x846DF476, 0x2161B39F,
+ 0x8460E21A, 0x21312A65,
+ 0x8453E2CE, 0x21009C0B,
+ 0x8446F695, 0x20D0089B,
+ 0x843A1D70, 0x209F701C,
+ 0x842D5761, 0x206ED295,
+ 0x8420A46B, 0x203E300D,
+ 0x8414048F, 0x200D888C,
+ 0x840777CF, 0x1FDCDC1A,
+ 0x83FAFE2E, 0x1FAC2ABF,
+ 0x83EE97AC, 0x1F7B7480,
+ 0x83E2444D, 0x1F4AB967,
+ 0x83D60411, 0x1F19F97B,
+ 0x83C9D6FB, 0x1EE934C2,
+ 0x83BDBD0D, 0x1EB86B46,
+ 0x83B1B649, 0x1E879D0C,
+ 0x83A5C2B0, 0x1E56CA1E,
+ 0x8399E244, 0x1E25F281,
+ 0x838E1507, 0x1DF5163F,
+ 0x83825AFB, 0x1DC4355D,
+ 0x8376B422, 0x1D934FE5,
+ 0x836B207D, 0x1D6265DD,
+ 0x835FA00E, 0x1D31774D,
+ 0x835432D8, 0x1D00843C,
+ 0x8348D8DB, 0x1CCF8CB3,
+ 0x833D921A, 0x1C9E90B8,
+ 0x83325E97, 0x1C6D9053,
+ 0x83273E52, 0x1C3C8B8C,
+ 0x831C314E, 0x1C0B826A,
+ 0x8311378C, 0x1BDA74F5,
+ 0x8306510F, 0x1BA96334,
+ 0x82FB7DD8, 0x1B784D30,
+ 0x82F0BDE8, 0x1B4732EF,
+ 0x82E61141, 0x1B161479,
+ 0x82DB77E5, 0x1AE4F1D6,
+ 0x82D0F1D5, 0x1AB3CB0C,
+ 0x82C67F13, 0x1A82A025,
+ 0x82BC1FA1, 0x1A517127,
+ 0x82B1D381, 0x1A203E1B,
+ 0x82A79AB3, 0x19EF0706,
+ 0x829D753A, 0x19BDCBF2,
+ 0x82936316, 0x198C8CE6,
+ 0x8289644A, 0x195B49E9,
+ 0x827F78D8, 0x192A0303,
+ 0x8275A0C0, 0x18F8B83C,
+ 0x826BDC04, 0x18C7699B,
+ 0x82622AA5, 0x18961727,
+ 0x82588CA6, 0x1864C0E9,
+ 0x824F0208, 0x183366E8,
+ 0x82458ACB, 0x1802092C,
+ 0x823C26F2, 0x17D0A7BB,
+ 0x8232D67E, 0x179F429F,
+ 0x82299971, 0x176DD9DE,
+ 0x82206FCB, 0x173C6D80,
+ 0x8217598F, 0x170AFD8D,
+ 0x820E56BE, 0x16D98A0C,
+ 0x82056758, 0x16A81305,
+ 0x81FC8B60, 0x1676987F,
+ 0x81F3C2D7, 0x16451A83,
+ 0x81EB0DBD, 0x16139917,
+ 0x81E26C16, 0x15E21444,
+ 0x81D9DDE1, 0x15B08C11,
+ 0x81D16320, 0x157F0086,
+ 0x81C8FBD5, 0x154D71AA,
+ 0x81C0A801, 0x151BDF85,
+ 0x81B867A4, 0x14EA4A1F,
+ 0x81B03AC1, 0x14B8B17F,
+ 0x81A82159, 0x148715AD,
+ 0x81A01B6C, 0x145576B1,
+ 0x819828FD, 0x1423D492,
+ 0x81904A0C, 0x13F22F57,
+ 0x81887E9A, 0x13C0870A,
+ 0x8180C6A9, 0x138EDBB0,
+ 0x8179223A, 0x135D2D53,
+ 0x8171914E, 0x132B7BF9,
+ 0x816A13E6, 0x12F9C7AA,
+ 0x8162AA03, 0x12C8106E,
+ 0x815B53A8, 0x1296564D,
+ 0x815410D3, 0x1264994E,
+ 0x814CE188, 0x1232D978,
+ 0x8145C5C6, 0x120116D4,
+ 0x813EBD90, 0x11CF516A,
+ 0x8137C8E6, 0x119D8940,
+ 0x8130E7C8, 0x116BBE5F,
+ 0x812A1A39, 0x1139F0CE,
+ 0x81236039, 0x11082096,
+ 0x811CB9CA, 0x10D64DBC,
+ 0x811626EC, 0x10A4784A,
+ 0x810FA7A0, 0x1072A047,
+ 0x81093BE8, 0x1040C5BB,
+ 0x8102E3C3, 0x100EE8AD,
+ 0x80FC9F35, 0x0FDD0925,
+ 0x80F66E3C, 0x0FAB272B,
+ 0x80F050DB, 0x0F7942C6,
+ 0x80EA4712, 0x0F475BFE,
+ 0x80E450E2, 0x0F1572DC,
+ 0x80DE6E4C, 0x0EE38765,
+ 0x80D89F51, 0x0EB199A3,
+ 0x80D2E3F1, 0x0E7FA99D,
+ 0x80CD3C2F, 0x0E4DB75B,
+ 0x80C7A80A, 0x0E1BC2E3,
+ 0x80C22783, 0x0DE9CC3F,
+ 0x80BCBA9C, 0x0DB7D376,
+ 0x80B76155, 0x0D85D88F,
+ 0x80B21BAF, 0x0D53DB92,
+ 0x80ACE9AB, 0x0D21DC87,
+ 0x80A7CB49, 0x0CEFDB75,
+ 0x80A2C08B, 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,
+ 0x801A0EF7, 0x051A8E5C,
+ 0x801817BF, 0x04E8543D,
+ 0x80163440, 0x04B6195D,
+ 0x8014647A, 0x0483DDC3,
+ 0x8012A86F, 0x0451A176,
+ 0x8011001E, 0x041F647F,
+ 0x800F6B88, 0x03ED26E6,
+ 0x800DEAAC, 0x03BAE8B1,
+ 0x800C7D8C, 0x0388A9E9,
+ 0x800B2427, 0x03566A96,
+ 0x8009DE7D, 0x03242ABF,
+ 0x8008AC90, 0x02F1EA6B,
+ 0x80078E5E, 0x02BFA9A4,
+ 0x800683E8, 0x028D6870,
+ 0x80058D2E, 0x025B26D7,
+ 0x8004AA31, 0x0228E4E1,
+ 0x8003DAF0, 0x01F6A296,
+ 0x80031F6C, 0x01C45FFE,
+ 0x800277A5, 0x01921D1F,
+ 0x8001E39B, 0x015FDA03,
+ 0x8001634D, 0x012D96B0,
+ 0x8000F6BD, 0x00FB532F,
+ 0x80009DE9, 0x00C90F88,
+ 0x800058D3, 0x0096CBC1,
+ 0x8000277A, 0x006487E3,
+ 0x800009DE, 0x003243F5,
+ 0x80000000, 0x00000000,
+ 0x800009DE, 0xFFCDBC0A,
+ 0x8000277A, 0xFF9B781D,
+ 0x800058D3, 0xFF69343E,
+ 0x80009DE9, 0xFF36F078,
+ 0x8000F6BD, 0xFF04ACD0,
+ 0x8001634D, 0xFED2694F,
+ 0x8001E39B, 0xFEA025FC,
+ 0x800277A5, 0xFE6DE2E0,
+ 0x80031F6C, 0xFE3BA001,
+ 0x8003DAF0, 0xFE095D69,
+ 0x8004AA31, 0xFDD71B1E,
+ 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, 0xF6313076,
+ 0x806439C0, 0xF5FF1317,
+ 0x80683143, 0xF5CCF743,
+ 0x806C3C73, 0xF59ADD01,
+ 0x80705B50, 0xF568C45A,
+ 0x80748DD9, 0xF536AD55,
+ 0x8078D40D, 0xF50497FA,
+ 0x807D2DEB, 0xF4D28451,
+ 0x80819B74, 0xF4A07260,
+ 0x80861CA5, 0xF46E6231,
+ 0x808AB180, 0xF43C53CA,
+ 0x808F5A02, 0xF40A4734,
+ 0x8094162B, 0xF3D83C76,
+ 0x8098E5FB, 0xF3A63398,
+ 0x809DC970, 0xF3742CA1,
+ 0x80A2C08B, 0xF342279A,
+ 0x80A7CB49, 0xF310248A,
+ 0x80ACE9AB, 0xF2DE2378,
+ 0x80B21BAF, 0xF2AC246D,
+ 0x80B76155, 0xF27A2770,
+ 0x80BCBA9C, 0xF2482C89,
+ 0x80C22783, 0xF21633C0,
+ 0x80C7A80A, 0xF1E43D1C,
+ 0x80CD3C2F, 0xF1B248A5,
+ 0x80D2E3F1, 0xF1805662,
+ 0x80D89F51, 0xF14E665C,
+ 0x80DE6E4C, 0xF11C789A,
+ 0x80E450E2, 0xF0EA8D23,
+ 0x80EA4712, 0xF0B8A401,
+ 0x80F050DB, 0xF086BD39,
+ 0x80F66E3C, 0xF054D8D4,
+ 0x80FC9F35, 0xF022F6DA,
+ 0x8102E3C3, 0xEFF11752,
+ 0x81093BE8, 0xEFBF3A44,
+ 0x810FA7A0, 0xEF8D5FB8,
+ 0x811626EC, 0xEF5B87B5,
+ 0x811CB9CA, 0xEF29B243,
+ 0x81236039, 0xEEF7DF6A,
+ 0x812A1A39, 0xEEC60F31,
+ 0x8130E7C8, 0xEE9441A0,
+ 0x8137C8E6, 0xEE6276BF,
+ 0x813EBD90, 0xEE30AE95,
+ 0x8145C5C6, 0xEDFEE92B,
+ 0x814CE188, 0xEDCD2687,
+ 0x815410D3, 0xED9B66B2,
+ 0x815B53A8, 0xED69A9B2,
+ 0x8162AA03, 0xED37EF91,
+ 0x816A13E6, 0xED063855,
+ 0x8171914E, 0xECD48406,
+ 0x8179223A, 0xECA2D2AC,
+ 0x8180C6A9, 0xEC71244F,
+ 0x81887E9A, 0xEC3F78F5,
+ 0x81904A0C, 0xEC0DD0A8,
+ 0x819828FD, 0xEBDC2B6D,
+ 0x81A01B6C, 0xEBAA894E,
+ 0x81A82159, 0xEB78EA52,
+ 0x81B03AC1, 0xEB474E80,
+ 0x81B867A4, 0xEB15B5E0,
+ 0x81C0A801, 0xEAE4207A,
+ 0x81C8FBD5, 0xEAB28E55,
+ 0x81D16320, 0xEA80FF79,
+ 0x81D9DDE1, 0xEA4F73EE,
+ 0x81E26C16, 0xEA1DEBBB,
+ 0x81EB0DBD, 0xE9EC66E8,
+ 0x81F3C2D7, 0xE9BAE57C,
+ 0x81FC8B60, 0xE9896780,
+ 0x82056758, 0xE957ECFB,
+ 0x820E56BE, 0xE92675F4,
+ 0x8217598F, 0xE8F50273,
+ 0x82206FCB, 0xE8C3927F,
+ 0x82299971, 0xE8922621,
+ 0x8232D67E, 0xE860BD60,
+ 0x823C26F2, 0xE82F5844,
+ 0x82458ACB, 0xE7FDF6D3,
+ 0x824F0208, 0xE7CC9917,
+ 0x82588CA6, 0xE79B3F16,
+ 0x82622AA5, 0xE769E8D8,
+ 0x826BDC04, 0xE7389664,
+ 0x8275A0C0, 0xE70747C3,
+ 0x827F78D8, 0xE6D5FCFC,
+ 0x8289644A, 0xE6A4B616,
+ 0x82936316, 0xE6737319,
+ 0x829D753A, 0xE642340D,
+ 0x82A79AB3, 0xE610F8F9,
+ 0x82B1D381, 0xE5DFC1E4,
+ 0x82BC1FA1, 0xE5AE8ED8,
+ 0x82C67F13, 0xE57D5FDA,
+ 0x82D0F1D5, 0xE54C34F3,
+ 0x82DB77E5, 0xE51B0E2A,
+ 0x82E61141, 0xE4E9EB86,
+ 0x82F0BDE8, 0xE4B8CD10,
+ 0x82FB7DD8, 0xE487B2CF,
+ 0x8306510F, 0xE4569CCB,
+ 0x8311378C, 0xE4258B0A,
+ 0x831C314E, 0xE3F47D95,
+ 0x83273E52, 0xE3C37473,
+ 0x83325E97, 0xE3926FAC,
+ 0x833D921A, 0xE3616F47,
+ 0x8348D8DB, 0xE330734C,
+ 0x835432D8, 0xE2FF7BC3,
+ 0x835FA00E, 0xE2CE88B2,
+ 0x836B207D, 0xE29D9A22,
+ 0x8376B422, 0xE26CB01A,
+ 0x83825AFB, 0xE23BCAA2,
+ 0x838E1507, 0xE20AE9C1,
+ 0x8399E244, 0xE1DA0D7E,
+ 0x83A5C2B0, 0xE1A935E1,
+ 0x83B1B649, 0xE17862F3,
+ 0x83BDBD0D, 0xE14794B9,
+ 0x83C9D6FB, 0xE116CB3D,
+ 0x83D60411, 0xE0E60684,
+ 0x83E2444D, 0xE0B54698,
+ 0x83EE97AC, 0xE0848B7F,
+ 0x83FAFE2E, 0xE053D541,
+ 0x840777CF, 0xE02323E5,
+ 0x8414048F, 0xDFF27773,
+ 0x8420A46B, 0xDFC1CFF2,
+ 0x842D5761, 0xDF912D6A,
+ 0x843A1D70, 0xDF608FE3,
+ 0x8446F695, 0xDF2FF764,
+ 0x8453E2CE, 0xDEFF63F4,
+ 0x8460E21A, 0xDECED59B,
+ 0x846DF476, 0xDE9E4C60,
+ 0x847B19E1, 0xDE6DC84B,
+ 0x84885257, 0xDE3D4963,
+ 0x84959DD9, 0xDE0CCFB1,
+ 0x84A2FC62, 0xDDDC5B3A,
+ 0x84B06DF1, 0xDDABEC07,
+ 0x84BDF285, 0xDD7B8220,
+ 0x84CB8A1B, 0xDD4B1D8B,
+ 0x84D934B0, 0xDD1ABE51,
+ 0x84E6F244, 0xDCEA6478,
+ 0x84F4C2D3, 0xDCBA1008,
+ 0x8502A65C, 0xDC89C108,
+ 0x85109CDC, 0xDC597781,
+ 0x851EA652, 0xDC293379,
+ 0x852CC2BA, 0xDBF8F4F8,
+ 0x853AF214, 0xDBC8BC05,
+ 0x8549345C, 0xDB9888A8,
+ 0x85578991, 0xDB685AE8,
+ 0x8565F1B0, 0xDB3832CD,
+ 0x85746CB7, 0xDB08105E,
+ 0x8582FAA4, 0xDAD7F3A2,
+ 0x85919B75, 0xDAA7DCA1,
+ 0x85A04F28, 0xDA77CB62,
+ 0x85AF15B9, 0xDA47BFED,
+ 0x85BDEF27, 0xDA17BA4A,
+ 0x85CCDB70, 0xD9E7BA7E,
+ 0x85DBDA91, 0xD9B7C093,
+ 0x85EAEC88, 0xD987CC8F,
+ 0x85FA1152, 0xD957DE7A,
+ 0x860948EE, 0xD927F65B,
+ 0x86189359, 0xD8F81439,
+ 0x8627F090, 0xD8C8381C,
+ 0x86376092, 0xD898620C,
+ 0x8646E35B, 0xD868920F,
+ 0x865678EA, 0xD838C82D,
+ 0x8666213C, 0xD809046D,
+ 0x8675DC4E, 0xD7D946D7,
+ 0x8685AA1F, 0xD7A98F73,
+ 0x86958AAB, 0xD779DE46,
+ 0x86A57DF1, 0xD74A335A,
+ 0x86B583EE, 0xD71A8EB5,
+ 0x86C59C9F, 0xD6EAF05E,
+ 0x86D5C802, 0xD6BB585D,
+ 0x86E60614, 0xD68BC6BA,
+ 0x86F656D3, 0xD65C3B7B,
+ 0x8706BA3C, 0xD62CB6A7,
+ 0x8717304E, 0xD5FD3847,
+ 0x8727B904, 0xD5CDC062,
+ 0x8738545E, 0xD59E4EFE,
+ 0x87490257, 0xD56EE424,
+ 0x8759C2EF, 0xD53F7FDA,
+ 0x876A9621, 0xD5102227,
+ 0x877B7BEC, 0xD4E0CB14,
+ 0x878C744C, 0xD4B17AA7,
+ 0x879D7F40, 0xD48230E8,
+ 0x87AE9CC5, 0xD452EDDE,
+ 0x87BFCCD7, 0xD423B190,
+ 0x87D10F75, 0xD3F47C06,
+ 0x87E2649B, 0xD3C54D46,
+ 0x87F3CC47, 0xD3962559,
+ 0x88054677, 0xD3670445,
+ 0x8816D327, 0xD337EA12,
+ 0x88287255, 0xD308D6C6,
+ 0x883A23FE, 0xD2D9CA6A,
+ 0x884BE820, 0xD2AAC504,
+ 0x885DBEB7, 0xD27BC69C,
+ 0x886FA7C2, 0xD24CCF38,
+ 0x8881A33C, 0xD21DDEE1,
+ 0x8893B124, 0xD1EEF59E,
+ 0x88A5D177, 0xD1C01374,
+ 0x88B80431, 0xD191386D,
+ 0x88CA4951, 0xD162648F,
+ 0x88DCA0D3, 0xD13397E1,
+ 0x88EF0AB4, 0xD104D26B,
+ 0x890186F1, 0xD0D61433,
+ 0x89141589, 0xD0A75D42,
+ 0x8926B677, 0xD078AD9D,
+ 0x893969B9, 0xD04A054D,
+ 0x894C2F4C, 0xD01B6459,
+ 0x895F072D, 0xCFECCAC7,
+ 0x8971F15A, 0xCFBE389F,
+ 0x8984EDCF, 0xCF8FADE8,
+ 0x8997FC89, 0xCF612AAA,
+ 0x89AB1D86, 0xCF32AEEB,
+ 0x89BE50C3, 0xCF043AB2,
+ 0x89D1963C, 0xCED5CE08,
+ 0x89E4EDEE, 0xCEA768F2,
+ 0x89F857D8, 0xCE790B78,
+ 0x8A0BD3F5, 0xCE4AB5A2,
+ 0x8A1F6242, 0xCE1C6776,
+ 0x8A3302BD, 0xCDEE20FC,
+ 0x8A46B563, 0xCDBFE23A,
+ 0x8A5A7A30, 0xCD91AB38,
+ 0x8A6E5122, 0xCD637BFD,
+ 0x8A823A35, 0xCD355490,
+ 0x8A963567, 0xCD0734F8,
+ 0x8AAA42B4, 0xCCD91D3D,
+ 0x8ABE6219, 0xCCAB0D65,
+ 0x8AD29393, 0xCC7D0577,
+ 0x8AE6D71F, 0xCC4F057B,
+ 0x8AFB2CBA, 0xCC210D78,
+ 0x8B0F9461, 0xCBF31D75,
+ 0x8B240E10, 0xCBC53578,
+ 0x8B3899C5, 0xCB975589,
+ 0x8B4D377C, 0xCB697DB0,
+ 0x8B61E732, 0xCB3BADF2,
+ 0x8B76A8E4, 0xCB0DE658,
+ 0x8B8B7C8F, 0xCAE026E8,
+ 0x8BA0622F, 0xCAB26FA9,
+ 0x8BB559C1, 0xCA84C0A2,
+ 0x8BCA6342, 0xCA5719DB,
+ 0x8BDF7EAF, 0xCA297B5A,
+ 0x8BF4AC05, 0xC9FBE527,
+ 0x8C09EB40, 0xC9CE5748,
+ 0x8C1F3C5C, 0xC9A0D1C4,
+ 0x8C349F58, 0xC97354A3,
+ 0x8C4A142F, 0xC945DFEC,
+ 0x8C5F9ADD, 0xC91873A5,
+ 0x8C753361, 0xC8EB0FD6,
+ 0x8C8ADDB6, 0xC8BDB485,
+ 0x8CA099D9, 0xC89061BA,
+ 0x8CB667C7, 0xC863177B,
+ 0x8CCC477D, 0xC835D5D0,
+ 0x8CE238F6, 0xC8089CBF,
+ 0x8CF83C30, 0xC7DB6C50,
+ 0x8D0E5127, 0xC7AE4489,
+ 0x8D2477D8, 0xC7812571,
+ 0x8D3AB03F, 0xC7540F10,
+ 0x8D50FA59, 0xC727016C,
+ 0x8D675623, 0xC6F9FC8D,
+ 0x8D7DC399, 0xC6CD0079,
+ 0x8D9442B7, 0xC6A00D36,
+ 0x8DAAD37B, 0xC67322CD,
+ 0x8DC175E0, 0xC6464144,
+ 0x8DD829E4, 0xC61968A2,
+ 0x8DEEEF82, 0xC5EC98ED,
+ 0x8E05C6B7, 0xC5BFD22E,
+ 0x8E1CAF80, 0xC593146A,
+ 0x8E33A9D9, 0xC5665FA8,
+ 0x8E4AB5BF, 0xC539B3F0,
+ 0x8E61D32D, 0xC50D1148,
+ 0x8E790222, 0xC4E077B8,
+ 0x8E904298, 0xC4B3E746,
+ 0x8EA7948C, 0xC4875FF8,
+ 0x8EBEF7FB, 0xC45AE1D7,
+ 0x8ED66CE1, 0xC42E6CE8,
+ 0x8EEDF33B, 0xC4020132,
+ 0x8F058B04, 0xC3D59EBD,
+ 0x8F1D343A, 0xC3A9458F,
+ 0x8F34EED8, 0xC37CF5B0,
+ 0x8F4CBADB, 0xC350AF25,
+ 0x8F64983F, 0xC32471F6,
+ 0x8F7C8701, 0xC2F83E2A,
+ 0x8F94871D, 0xC2CC13C7,
+ 0x8FAC988E, 0xC29FF2D4,
+ 0x8FC4BB53, 0xC273DB58,
+ 0x8FDCEF66, 0xC247CD5A,
+ 0x8FF534C4, 0xC21BC8E0,
+ 0x900D8B69, 0xC1EFCDF2,
+ 0x9025F352, 0xC1C3DC96,
+ 0x903E6C7A, 0xC197F4D3,
+ 0x9056F6DF, 0xC16C16B0,
+ 0x906F927B, 0xC1404233,
+ 0x90883F4C, 0xC1147763,
+ 0x90A0FD4E, 0xC0E8B648,
+ 0x90B9CC7C, 0xC0BCFEE7,
+ 0x90D2ACD3, 0xC0915147,
+ 0x90EB9E50, 0xC065AD70,
+ 0x9104A0ED, 0xC03A1368,
+ 0x911DB4A8, 0xC00E8335,
+ 0x9136D97D, 0xBFE2FCDF,
+ 0x91500F67, 0xBFB7806C,
+ 0x91695663, 0xBF8C0DE2,
+ 0x9182AE6C, 0xBF60A54A,
+ 0x919C1780, 0xBF3546A8,
+ 0x91B5919A, 0xBF09F204,
+ 0x91CF1CB6, 0xBEDEA765,
+ 0x91E8B8D0, 0xBEB366D1,
+ 0x920265E4, 0xBE88304F,
+ 0x921C23EE, 0xBE5D03E5,
+ 0x9235F2EB, 0xBE31E19B,
+ 0x924FD2D6, 0xBE06C977,
+ 0x9269C3AC, 0xBDDBBB7F,
+ 0x9283C567, 0xBDB0B7BA,
+ 0x929DD805, 0xBD85BE2F,
+ 0x92B7FB82, 0xBD5ACEE5,
+ 0x92D22FD8, 0xBD2FE9E1,
+ 0x92EC7505, 0xBD050F2C,
+ 0x9306CB04, 0xBCDA3ECA,
+ 0x932131D1, 0xBCAF78C3,
+ 0x933BA968, 0xBC84BD1E,
+ 0x935631C5, 0xBC5A0BE1,
+ 0x9370CAE4, 0xBC2F6513,
+ 0x938B74C0, 0xBC04C8BA,
+ 0x93A62F56, 0xBBDA36DC,
+ 0x93C0FAA2, 0xBBAFAF81,
+ 0x93DBD69F, 0xBB8532AF,
+ 0x93F6C34A, 0xBB5AC06C,
+ 0x9411C09D, 0xBB3058C0,
+ 0x942CCE95, 0xBB05FBB0,
+ 0x9447ED2F, 0xBADBA943,
+ 0x94631C64, 0xBAB1617F,
+ 0x947E5C32, 0xBA87246C,
+ 0x9499AC95, 0xBA5CF210,
+ 0x94B50D87, 0xBA32CA70,
+ 0x94D07F05, 0xBA08AD94,
+ 0x94EC010B, 0xB9DE9B83,
+ 0x95079393, 0xB9B49442,
+ 0x9523369B, 0xB98A97D8,
+ 0x953EEA1E, 0xB960A64B,
+ 0x955AAE17, 0xB936BFA3,
+ 0x95768282, 0xB90CE3E6,
+ 0x9592675B, 0xB8E31319,
+ 0x95AE5C9E, 0xB8B94D44,
+ 0x95CA6246, 0xB88F926C,
+ 0x95E6784F, 0xB865E299,
+ 0x96029EB5, 0xB83C3DD1,
+ 0x961ED573, 0xB812A419,
+ 0x963B1C85, 0xB7E9157A,
+ 0x965773E7, 0xB7BF91F8,
+ 0x9673DB94, 0xB796199B,
+ 0x96905387, 0xB76CAC68,
+ 0x96ACDBBD, 0xB7434A67,
+ 0x96C97431, 0xB719F39D,
+ 0x96E61CDF, 0xB6F0A811,
+ 0x9702D5C2, 0xB6C767CA,
+ 0x971F9ED6, 0xB69E32CD,
+ 0x973C7816, 0xB6750921,
+ 0x9759617E, 0xB64BEACC,
+ 0x97765B0A, 0xB622D7D5,
+ 0x979364B5, 0xB5F9D042,
+ 0x97B07E7A, 0xB5D0D41A,
+ 0x97CDA855, 0xB5A7E362,
+ 0x97EAE241, 0xB57EFE21,
+ 0x98082C3B, 0xB556245E,
+ 0x9825863D, 0xB52D561E,
+ 0x9842F043, 0xB5049368,
+ 0x98606A48, 0xB4DBDC42,
+ 0x987DF449, 0xB4B330B2,
+ 0x989B8E3F, 0xB48A90C0,
+ 0x98B93828, 0xB461FC70,
+ 0x98D6F1FE, 0xB43973C9,
+ 0x98F4BBBC, 0xB410F6D2,
+ 0x9912955E, 0xB3E88591,
+ 0x99307EE0, 0xB3C0200C,
+ 0x994E783C, 0xB397C649,
+ 0x996C816F, 0xB36F784E,
+ 0x998A9A73, 0xB3473622,
+ 0x99A8C344, 0xB31EFFCB,
+ 0x99C6FBDE, 0xB2F6D54F,
+ 0x99E5443A, 0xB2CEB6B5,
+ 0x9A039C56, 0xB2A6A401,
+ 0x9A22042C, 0xB27E9D3B,
+ 0x9A407BB8, 0xB256A26A,
+ 0x9A5F02F5, 0xB22EB392,
+ 0x9A7D99DD, 0xB206D0BA,
+ 0x9A9C406D, 0xB1DEF9E8,
+ 0x9ABAF6A0, 0xB1B72F23,
+ 0x9AD9BC71, 0xB18F7070,
+ 0x9AF891DB, 0xB167BDD6,
+ 0x9B1776D9, 0xB140175B,
+ 0x9B366B67, 0xB1187D05,
+ 0x9B556F80, 0xB0F0EEDA,
+ 0x9B748320, 0xB0C96CDF,
+ 0x9B93A640, 0xB0A1F71C,
+ 0x9BB2D8DD, 0xB07A8D97,
+ 0x9BD21AF2, 0xB0533055,
+ 0x9BF16C7A, 0xB02BDF5C,
+ 0x9C10CD70, 0xB0049AB2,
+ 0x9C303DCF, 0xAFDD625F,
+ 0x9C4FBD92, 0xAFB63667,
+ 0x9C6F4CB5, 0xAF8F16D0,
+ 0x9C8EEB33, 0xAF6803A1,
+ 0x9CAE9907, 0xAF40FCE0,
+ 0x9CCE562B, 0xAF1A0293,
+ 0x9CEE229C, 0xAEF314BF,
+ 0x9D0DFE53, 0xAECC336B,
+ 0x9D2DE94D, 0xAEA55E9D,
+ 0x9D4DE384, 0xAE7E965B,
+ 0x9D6DECF4, 0xAE57DAAA,
+ 0x9D8E0596, 0xAE312B91,
+ 0x9DAE2D68, 0xAE0A8916,
+ 0x9DCE6462, 0xADE3F33E,
+ 0x9DEEAA82, 0xADBD6A10,
+ 0x9E0EFFC1, 0xAD96ED91,
+ 0x9E2F641A, 0xAD707DC8,
+ 0x9E4FD789, 0xAD4A1ABA,
+ 0x9E705A09, 0xAD23C46D,
+ 0x9E90EB94, 0xACFD7AE8,
+ 0x9EB18C26, 0xACD73E30,
+ 0x9ED23BB9, 0xACB10E4A,
+ 0x9EF2FA48, 0xAC8AEB3E,
+ 0x9F13C7D0, 0xAC64D510,
+ 0x9F34A449, 0xAC3ECBC7,
+ 0x9F558FB0, 0xAC18CF68,
+ 0x9F7689FF, 0xABF2DFFA,
+ 0x9F979331, 0xABCCFD82,
+ 0x9FB8AB41, 0xABA72806,
+ 0x9FD9D22A, 0xAB815F8C,
+ 0x9FFB07E7, 0xAB5BA41A,
+ 0xA01C4C72, 0xAB35F5B5,
+ 0xA03D9FC7, 0xAB105464,
+ 0xA05F01E1, 0xAAEAC02B,
+ 0xA08072BA, 0xAAC53912,
+ 0xA0A1F24C, 0xAA9FBF1D,
+ 0xA0C38094, 0xAA7A5253,
+ 0xA0E51D8C, 0xAA54F2B9,
+ 0xA106C92E, 0xAA2FA055,
+ 0xA1288376, 0xAA0A5B2D,
+ 0xA14A4C5E, 0xA9E52347,
+ 0xA16C23E1, 0xA9BFF8A8,
+ 0xA18E09F9, 0xA99ADB56,
+ 0xA1AFFEA2, 0xA975CB56,
+ 0xA1D201D7, 0xA950C8AF,
+ 0xA1F41391, 0xA92BD366,
+ 0xA21633CD, 0xA906EB81,
+ 0xA2386283, 0xA8E21106,
+ 0xA25A9FB1, 0xA8BD43FA,
+ 0xA27CEB4F, 0xA8988463,
+ 0xA29F4559, 0xA873D246,
+ 0xA2C1ADC9, 0xA84F2DA9,
+ 0xA2E4249A, 0xA82A9693,
+ 0xA306A9C7, 0xA8060D08,
+ 0xA3293D4B, 0xA7E1910E,
+ 0xA34BDF20, 0xA7BD22AB,
+ 0xA36E8F40, 0xA798C1E4,
+ 0xA3914DA7, 0xA7746EC0,
+ 0xA3B41A4F, 0xA7502943,
+ 0xA3D6F533, 0xA72BF173,
+ 0xA3F9DE4D, 0xA707C756,
+ 0xA41CD598, 0xA6E3AAF2,
+ 0xA43FDB0F, 0xA6BF9C4B,
+ 0xA462EEAC, 0xA69B9B68,
+ 0xA4861069, 0xA677A84E,
+ 0xA4A94042, 0xA653C302,
+ 0xA4CC7E31, 0xA62FEB8B,
+ 0xA4EFCA31, 0xA60C21ED,
+ 0xA513243B, 0xA5E8662F,
+ 0xA5368C4B, 0xA5C4B855,
+ 0xA55A025B, 0xA5A11865,
+ 0xA57D8666, 0xA57D8666,
+ 0xA5A11865, 0xA55A025B,
+ 0xA5C4B855, 0xA5368C4B,
+ 0xA5E8662F, 0xA513243B,
+ 0xA60C21ED, 0xA4EFCA31,
+ 0xA62FEB8B, 0xA4CC7E31,
+ 0xA653C302, 0xA4A94042,
+ 0xA677A84E, 0xA4861069,
+ 0xA69B9B68, 0xA462EEAC,
+ 0xA6BF9C4B, 0xA43FDB0F,
+ 0xA6E3AAF2, 0xA41CD598,
+ 0xA707C756, 0xA3F9DE4D,
+ 0xA72BF173, 0xA3D6F533,
+ 0xA7502943, 0xA3B41A4F,
+ 0xA7746EC0, 0xA3914DA7,
+ 0xA798C1E4, 0xA36E8F40,
+ 0xA7BD22AB, 0xA34BDF20,
+ 0xA7E1910E, 0xA3293D4B,
+ 0xA8060D08, 0xA306A9C7,
+ 0xA82A9693, 0xA2E4249A,
+ 0xA84F2DA9, 0xA2C1ADC9,
+ 0xA873D246, 0xA29F4559,
+ 0xA8988463, 0xA27CEB4F,
+ 0xA8BD43FA, 0xA25A9FB1,
+ 0xA8E21106, 0xA2386283,
+ 0xA906EB81, 0xA21633CD,
+ 0xA92BD366, 0xA1F41391,
+ 0xA950C8AF, 0xA1D201D7,
+ 0xA975CB56, 0xA1AFFEA2,
+ 0xA99ADB56, 0xA18E09F9,
+ 0xA9BFF8A8, 0xA16C23E1,
+ 0xA9E52347, 0xA14A4C5E,
+ 0xAA0A5B2D, 0xA1288376,
+ 0xAA2FA055, 0xA106C92E,
+ 0xAA54F2B9, 0xA0E51D8C,
+ 0xAA7A5253, 0xA0C38094,
+ 0xAA9FBF1D, 0xA0A1F24C,
+ 0xAAC53912, 0xA08072BA,
+ 0xAAEAC02B, 0xA05F01E1,
+ 0xAB105464, 0xA03D9FC7,
+ 0xAB35F5B5, 0xA01C4C72,
+ 0xAB5BA41A, 0x9FFB07E7,
+ 0xAB815F8C, 0x9FD9D22A,
+ 0xABA72806, 0x9FB8AB41,
+ 0xABCCFD82, 0x9F979331,
+ 0xABF2DFFA, 0x9F7689FF,
+ 0xAC18CF68, 0x9F558FB0,
+ 0xAC3ECBC7, 0x9F34A449,
+ 0xAC64D510, 0x9F13C7D0,
+ 0xAC8AEB3E, 0x9EF2FA48,
+ 0xACB10E4A, 0x9ED23BB9,
+ 0xACD73E30, 0x9EB18C26,
+ 0xACFD7AE8, 0x9E90EB94,
+ 0xAD23C46D, 0x9E705A09,
+ 0xAD4A1ABA, 0x9E4FD789,
+ 0xAD707DC8, 0x9E2F641A,
+ 0xAD96ED91, 0x9E0EFFC1,
+ 0xADBD6A10, 0x9DEEAA82,
+ 0xADE3F33E, 0x9DCE6462,
+ 0xAE0A8916, 0x9DAE2D68,
+ 0xAE312B91, 0x9D8E0596,
+ 0xAE57DAAA, 0x9D6DECF4,
+ 0xAE7E965B, 0x9D4DE384,
+ 0xAEA55E9D, 0x9D2DE94D,
+ 0xAECC336B, 0x9D0DFE53,
+ 0xAEF314BF, 0x9CEE229C,
+ 0xAF1A0293, 0x9CCE562B,
+ 0xAF40FCE0, 0x9CAE9907,
+ 0xAF6803A1, 0x9C8EEB33,
+ 0xAF8F16D0, 0x9C6F4CB5,
+ 0xAFB63667, 0x9C4FBD92,
+ 0xAFDD625F, 0x9C303DCF,
+ 0xB0049AB2, 0x9C10CD70,
+ 0xB02BDF5C, 0x9BF16C7A,
+ 0xB0533055, 0x9BD21AF2,
+ 0xB07A8D97, 0x9BB2D8DD,
+ 0xB0A1F71C, 0x9B93A640,
+ 0xB0C96CDF, 0x9B748320,
+ 0xB0F0EEDA, 0x9B556F80,
+ 0xB1187D05, 0x9B366B67,
+ 0xB140175B, 0x9B1776D9,
+ 0xB167BDD6, 0x9AF891DB,
+ 0xB18F7070, 0x9AD9BC71,
+ 0xB1B72F23, 0x9ABAF6A0,
+ 0xB1DEF9E8, 0x9A9C406D,
+ 0xB206D0BA, 0x9A7D99DD,
+ 0xB22EB392, 0x9A5F02F5,
+ 0xB256A26A, 0x9A407BB8,
+ 0xB27E9D3B, 0x9A22042C,
+ 0xB2A6A401, 0x9A039C56,
+ 0xB2CEB6B5, 0x99E5443A,
+ 0xB2F6D54F, 0x99C6FBDE,
+ 0xB31EFFCB, 0x99A8C344,
+ 0xB3473622, 0x998A9A73,
+ 0xB36F784E, 0x996C816F,
+ 0xB397C649, 0x994E783C,
+ 0xB3C0200C, 0x99307EE0,
+ 0xB3E88591, 0x9912955E,
+ 0xB410F6D2, 0x98F4BBBC,
+ 0xB43973C9, 0x98D6F1FE,
+ 0xB461FC70, 0x98B93828,
+ 0xB48A90C0, 0x989B8E3F,
+ 0xB4B330B2, 0x987DF449,
+ 0xB4DBDC42, 0x98606A48,
+ 0xB5049368, 0x9842F043,
+ 0xB52D561E, 0x9825863D,
+ 0xB556245E, 0x98082C3B,
+ 0xB57EFE21, 0x97EAE241,
+ 0xB5A7E362, 0x97CDA855,
+ 0xB5D0D41A, 0x97B07E7A,
+ 0xB5F9D042, 0x979364B5,
+ 0xB622D7D5, 0x97765B0A,
+ 0xB64BEACC, 0x9759617E,
+ 0xB6750921, 0x973C7816,
+ 0xB69E32CD, 0x971F9ED6,
+ 0xB6C767CA, 0x9702D5C2,
+ 0xB6F0A811, 0x96E61CDF,
+ 0xB719F39D, 0x96C97431,
+ 0xB7434A67, 0x96ACDBBD,
+ 0xB76CAC68, 0x96905387,
+ 0xB796199B, 0x9673DB94,
+ 0xB7BF91F8, 0x965773E7,
+ 0xB7E9157A, 0x963B1C85,
+ 0xB812A419, 0x961ED573,
+ 0xB83C3DD1, 0x96029EB5,
+ 0xB865E299, 0x95E6784F,
+ 0xB88F926C, 0x95CA6246,
+ 0xB8B94D44, 0x95AE5C9E,
+ 0xB8E31319, 0x9592675B,
+ 0xB90CE3E6, 0x95768282,
+ 0xB936BFA3, 0x955AAE17,
+ 0xB960A64B, 0x953EEA1E,
+ 0xB98A97D8, 0x9523369B,
+ 0xB9B49442, 0x95079393,
+ 0xB9DE9B83, 0x94EC010B,
+ 0xBA08AD94, 0x94D07F05,
+ 0xBA32CA70, 0x94B50D87,
+ 0xBA5CF210, 0x9499AC95,
+ 0xBA87246C, 0x947E5C32,
+ 0xBAB1617F, 0x94631C64,
+ 0xBADBA943, 0x9447ED2F,
+ 0xBB05FBB0, 0x942CCE95,
+ 0xBB3058C0, 0x9411C09D,
+ 0xBB5AC06C, 0x93F6C34A,
+ 0xBB8532AF, 0x93DBD69F,
+ 0xBBAFAF81, 0x93C0FAA2,
+ 0xBBDA36DC, 0x93A62F56,
+ 0xBC04C8BA, 0x938B74C0,
+ 0xBC2F6513, 0x9370CAE4,
+ 0xBC5A0BE1, 0x935631C5,
+ 0xBC84BD1E, 0x933BA968,
+ 0xBCAF78C3, 0x932131D1,
+ 0xBCDA3ECA, 0x9306CB04,
+ 0xBD050F2C, 0x92EC7505,
+ 0xBD2FE9E1, 0x92D22FD8,
+ 0xBD5ACEE5, 0x92B7FB82,
+ 0xBD85BE2F, 0x929DD805,
+ 0xBDB0B7BA, 0x9283C567,
+ 0xBDDBBB7F, 0x9269C3AC,
+ 0xBE06C977, 0x924FD2D6,
+ 0xBE31E19B, 0x9235F2EB,
+ 0xBE5D03E5, 0x921C23EE,
+ 0xBE88304F, 0x920265E4,
+ 0xBEB366D1, 0x91E8B8D0,
+ 0xBEDEA765, 0x91CF1CB6,
+ 0xBF09F204, 0x91B5919A,
+ 0xBF3546A8, 0x919C1780,
+ 0xBF60A54A, 0x9182AE6C,
+ 0xBF8C0DE2, 0x91695663,
+ 0xBFB7806C, 0x91500F67,
+ 0xBFE2FCDF, 0x9136D97D,
+ 0xC00E8335, 0x911DB4A8,
+ 0xC03A1368, 0x9104A0ED,
+ 0xC065AD70, 0x90EB9E50,
+ 0xC0915147, 0x90D2ACD3,
+ 0xC0BCFEE7, 0x90B9CC7C,
+ 0xC0E8B648, 0x90A0FD4E,
+ 0xC1147763, 0x90883F4C,
+ 0xC1404233, 0x906F927B,
+ 0xC16C16B0, 0x9056F6DF,
+ 0xC197F4D3, 0x903E6C7A,
+ 0xC1C3DC96, 0x9025F352,
+ 0xC1EFCDF2, 0x900D8B69,
+ 0xC21BC8E0, 0x8FF534C4,
+ 0xC247CD5A, 0x8FDCEF66,
+ 0xC273DB58, 0x8FC4BB53,
+ 0xC29FF2D4, 0x8FAC988E,
+ 0xC2CC13C7, 0x8F94871D,
+ 0xC2F83E2A, 0x8F7C8701,
+ 0xC32471F6, 0x8F64983F,
+ 0xC350AF25, 0x8F4CBADB,
+ 0xC37CF5B0, 0x8F34EED8,
+ 0xC3A9458F, 0x8F1D343A,
+ 0xC3D59EBD, 0x8F058B04,
+ 0xC4020132, 0x8EEDF33B,
+ 0xC42E6CE8, 0x8ED66CE1,
+ 0xC45AE1D7, 0x8EBEF7FB,
+ 0xC4875FF8, 0x8EA7948C,
+ 0xC4B3E746, 0x8E904298,
+ 0xC4E077B8, 0x8E790222,
+ 0xC50D1148, 0x8E61D32D,
+ 0xC539B3F0, 0x8E4AB5BF,
+ 0xC5665FA8, 0x8E33A9D9,
+ 0xC593146A, 0x8E1CAF80,
+ 0xC5BFD22E, 0x8E05C6B7,
+ 0xC5EC98ED, 0x8DEEEF82,
+ 0xC61968A2, 0x8DD829E4,
+ 0xC6464144, 0x8DC175E0,
+ 0xC67322CD, 0x8DAAD37B,
+ 0xC6A00D36, 0x8D9442B7,
+ 0xC6CD0079, 0x8D7DC399,
+ 0xC6F9FC8D, 0x8D675623,
+ 0xC727016C, 0x8D50FA59,
+ 0xC7540F10, 0x8D3AB03F,
+ 0xC7812571, 0x8D2477D8,
+ 0xC7AE4489, 0x8D0E5127,
+ 0xC7DB6C50, 0x8CF83C30,
+ 0xC8089CBF, 0x8CE238F6,
+ 0xC835D5D0, 0x8CCC477D,
+ 0xC863177B, 0x8CB667C7,
+ 0xC89061BA, 0x8CA099D9,
+ 0xC8BDB485, 0x8C8ADDB6,
+ 0xC8EB0FD6, 0x8C753361,
+ 0xC91873A5, 0x8C5F9ADD,
+ 0xC945DFEC, 0x8C4A142F,
+ 0xC97354A3, 0x8C349F58,
+ 0xC9A0D1C4, 0x8C1F3C5C,
+ 0xC9CE5748, 0x8C09EB40,
+ 0xC9FBE527, 0x8BF4AC05,
+ 0xCA297B5A, 0x8BDF7EAF,
+ 0xCA5719DB, 0x8BCA6342,
+ 0xCA84C0A2, 0x8BB559C1,
+ 0xCAB26FA9, 0x8BA0622F,
+ 0xCAE026E8, 0x8B8B7C8F,
+ 0xCB0DE658, 0x8B76A8E4,
+ 0xCB3BADF2, 0x8B61E732,
+ 0xCB697DB0, 0x8B4D377C,
+ 0xCB975589, 0x8B3899C5,
+ 0xCBC53578, 0x8B240E10,
+ 0xCBF31D75, 0x8B0F9461,
+ 0xCC210D78, 0x8AFB2CBA,
+ 0xCC4F057B, 0x8AE6D71F,
+ 0xCC7D0577, 0x8AD29393,
+ 0xCCAB0D65, 0x8ABE6219,
+ 0xCCD91D3D, 0x8AAA42B4,
+ 0xCD0734F8, 0x8A963567,
+ 0xCD355490, 0x8A823A35,
+ 0xCD637BFD, 0x8A6E5122,
+ 0xCD91AB38, 0x8A5A7A30,
+ 0xCDBFE23A, 0x8A46B563,
+ 0xCDEE20FC, 0x8A3302BD,
+ 0xCE1C6776, 0x8A1F6242,
+ 0xCE4AB5A2, 0x8A0BD3F5,
+ 0xCE790B78, 0x89F857D8,
+ 0xCEA768F2, 0x89E4EDEE,
+ 0xCED5CE08, 0x89D1963C,
+ 0xCF043AB2, 0x89BE50C3,
+ 0xCF32AEEB, 0x89AB1D86,
+ 0xCF612AAA, 0x8997FC89,
+ 0xCF8FADE8, 0x8984EDCF,
+ 0xCFBE389F, 0x8971F15A,
+ 0xCFECCAC7, 0x895F072D,
+ 0xD01B6459, 0x894C2F4C,
+ 0xD04A054D, 0x893969B9,
+ 0xD078AD9D, 0x8926B677,
+ 0xD0A75D42, 0x89141589,
+ 0xD0D61433, 0x890186F1,
+ 0xD104D26B, 0x88EF0AB4,
+ 0xD13397E1, 0x88DCA0D3,
+ 0xD162648F, 0x88CA4951,
+ 0xD191386D, 0x88B80431,
+ 0xD1C01374, 0x88A5D177,
+ 0xD1EEF59E, 0x8893B124,
+ 0xD21DDEE1, 0x8881A33C,
+ 0xD24CCF38, 0x886FA7C2,
+ 0xD27BC69C, 0x885DBEB7,
+ 0xD2AAC504, 0x884BE820,
+ 0xD2D9CA6A, 0x883A23FE,
+ 0xD308D6C6, 0x88287255,
+ 0xD337EA12, 0x8816D327,
+ 0xD3670445, 0x88054677,
+ 0xD3962559, 0x87F3CC47,
+ 0xD3C54D46, 0x87E2649B,
+ 0xD3F47C06, 0x87D10F75,
+ 0xD423B190, 0x87BFCCD7,
+ 0xD452EDDE, 0x87AE9CC5,
+ 0xD48230E8, 0x879D7F40,
+ 0xD4B17AA7, 0x878C744C,
+ 0xD4E0CB14, 0x877B7BEC,
+ 0xD5102227, 0x876A9621,
+ 0xD53F7FDA, 0x8759C2EF,
+ 0xD56EE424, 0x87490257,
+ 0xD59E4EFE, 0x8738545E,
+ 0xD5CDC062, 0x8727B904,
+ 0xD5FD3847, 0x8717304E,
+ 0xD62CB6A7, 0x8706BA3C,
+ 0xD65C3B7B, 0x86F656D3,
+ 0xD68BC6BA, 0x86E60614,
+ 0xD6BB585D, 0x86D5C802,
+ 0xD6EAF05E, 0x86C59C9F,
+ 0xD71A8EB5, 0x86B583EE,
+ 0xD74A335A, 0x86A57DF1,
+ 0xD779DE46, 0x86958AAB,
+ 0xD7A98F73, 0x8685AA1F,
+ 0xD7D946D7, 0x8675DC4E,
+ 0xD809046D, 0x8666213C,
+ 0xD838C82D, 0x865678EA,
+ 0xD868920F, 0x8646E35B,
+ 0xD898620C, 0x86376092,
+ 0xD8C8381C, 0x8627F090,
+ 0xD8F81439, 0x86189359,
+ 0xD927F65B, 0x860948EE,
+ 0xD957DE7A, 0x85FA1152,
+ 0xD987CC8F, 0x85EAEC88,
+ 0xD9B7C093, 0x85DBDA91,
+ 0xD9E7BA7E, 0x85CCDB70,
+ 0xDA17BA4A, 0x85BDEF27,
+ 0xDA47BFED, 0x85AF15B9,
+ 0xDA77CB62, 0x85A04F28,
+ 0xDAA7DCA1, 0x85919B75,
+ 0xDAD7F3A2, 0x8582FAA4,
+ 0xDB08105E, 0x85746CB7,
+ 0xDB3832CD, 0x8565F1B0,
+ 0xDB685AE8, 0x85578991,
+ 0xDB9888A8, 0x8549345C,
+ 0xDBC8BC05, 0x853AF214,
+ 0xDBF8F4F8, 0x852CC2BA,
+ 0xDC293379, 0x851EA652,
+ 0xDC597781, 0x85109CDC,
+ 0xDC89C108, 0x8502A65C,
+ 0xDCBA1008, 0x84F4C2D3,
+ 0xDCEA6478, 0x84E6F244,
+ 0xDD1ABE51, 0x84D934B0,
+ 0xDD4B1D8B, 0x84CB8A1B,
+ 0xDD7B8220, 0x84BDF285,
+ 0xDDABEC07, 0x84B06DF1,
+ 0xDDDC5B3A, 0x84A2FC62,
+ 0xDE0CCFB1, 0x84959DD9,
+ 0xDE3D4963, 0x84885257,
+ 0xDE6DC84B, 0x847B19E1,
+ 0xDE9E4C60, 0x846DF476,
+ 0xDECED59B, 0x8460E21A,
+ 0xDEFF63F4, 0x8453E2CE,
+ 0xDF2FF764, 0x8446F695,
+ 0xDF608FE3, 0x843A1D70,
+ 0xDF912D6A, 0x842D5761,
+ 0xDFC1CFF2, 0x8420A46B,
+ 0xDFF27773, 0x8414048F,
+ 0xE02323E5, 0x840777CF,
+ 0xE053D541, 0x83FAFE2E,
+ 0xE0848B7F, 0x83EE97AC,
+ 0xE0B54698, 0x83E2444D,
+ 0xE0E60684, 0x83D60411,
+ 0xE116CB3D, 0x83C9D6FB,
+ 0xE14794B9, 0x83BDBD0D,
+ 0xE17862F3, 0x83B1B649,
+ 0xE1A935E1, 0x83A5C2B0,
+ 0xE1DA0D7E, 0x8399E244,
+ 0xE20AE9C1, 0x838E1507,
+ 0xE23BCAA2, 0x83825AFB,
+ 0xE26CB01A, 0x8376B422,
+ 0xE29D9A22, 0x836B207D,
+ 0xE2CE88B2, 0x835FA00E,
+ 0xE2FF7BC3, 0x835432D8,
+ 0xE330734C, 0x8348D8DB,
+ 0xE3616F47, 0x833D921A,
+ 0xE3926FAC, 0x83325E97,
+ 0xE3C37473, 0x83273E52,
+ 0xE3F47D95, 0x831C314E,
+ 0xE4258B0A, 0x8311378C,
+ 0xE4569CCB, 0x8306510F,
+ 0xE487B2CF, 0x82FB7DD8,
+ 0xE4B8CD10, 0x82F0BDE8,
+ 0xE4E9EB86, 0x82E61141,
+ 0xE51B0E2A, 0x82DB77E5,
+ 0xE54C34F3, 0x82D0F1D5,
+ 0xE57D5FDA, 0x82C67F13,
+ 0xE5AE8ED8, 0x82BC1FA1,
+ 0xE5DFC1E4, 0x82B1D381,
+ 0xE610F8F9, 0x82A79AB3,
+ 0xE642340D, 0x829D753A,
+ 0xE6737319, 0x82936316,
+ 0xE6A4B616, 0x8289644A,
+ 0xE6D5FCFC, 0x827F78D8,
+ 0xE70747C3, 0x8275A0C0,
+ 0xE7389664, 0x826BDC04,
+ 0xE769E8D8, 0x82622AA5,
+ 0xE79B3F16, 0x82588CA6,
+ 0xE7CC9917, 0x824F0208,
+ 0xE7FDF6D3, 0x82458ACB,
+ 0xE82F5844, 0x823C26F2,
+ 0xE860BD60, 0x8232D67E,
+ 0xE8922621, 0x82299971,
+ 0xE8C3927F, 0x82206FCB,
+ 0xE8F50273, 0x8217598F,
+ 0xE92675F4, 0x820E56BE,
+ 0xE957ECFB, 0x82056758,
+ 0xE9896780, 0x81FC8B60,
+ 0xE9BAE57C, 0x81F3C2D7,
+ 0xE9EC66E8, 0x81EB0DBD,
+ 0xEA1DEBBB, 0x81E26C16,
+ 0xEA4F73EE, 0x81D9DDE1,
+ 0xEA80FF79, 0x81D16320,
+ 0xEAB28E55, 0x81C8FBD5,
+ 0xEAE4207A, 0x81C0A801,
+ 0xEB15B5E0, 0x81B867A4,
+ 0xEB474E80, 0x81B03AC1,
+ 0xEB78EA52, 0x81A82159,
+ 0xEBAA894E, 0x81A01B6C,
+ 0xEBDC2B6D, 0x819828FD,
+ 0xEC0DD0A8, 0x81904A0C,
+ 0xEC3F78F5, 0x81887E9A,
+ 0xEC71244F, 0x8180C6A9,
+ 0xECA2D2AC, 0x8179223A,
+ 0xECD48406, 0x8171914E,
+ 0xED063855, 0x816A13E6,
+ 0xED37EF91, 0x8162AA03,
+ 0xED69A9B2, 0x815B53A8,
+ 0xED9B66B2, 0x815410D3,
+ 0xEDCD2687, 0x814CE188,
+ 0xEDFEE92B, 0x8145C5C6,
+ 0xEE30AE95, 0x813EBD90,
+ 0xEE6276BF, 0x8137C8E6,
+ 0xEE9441A0, 0x8130E7C8,
+ 0xEEC60F31, 0x812A1A39,
+ 0xEEF7DF6A, 0x81236039,
+ 0xEF29B243, 0x811CB9CA,
+ 0xEF5B87B5, 0x811626EC,
+ 0xEF8D5FB8, 0x810FA7A0,
+ 0xEFBF3A44, 0x81093BE8,
+ 0xEFF11752, 0x8102E3C3,
+ 0xF022F6DA, 0x80FC9F35,
+ 0xF054D8D4, 0x80F66E3C,
+ 0xF086BD39, 0x80F050DB,
+ 0xF0B8A401, 0x80EA4712,
+ 0xF0EA8D23, 0x80E450E2,
+ 0xF11C789A, 0x80DE6E4C,
+ 0xF14E665C, 0x80D89F51,
+ 0xF1805662, 0x80D2E3F1,
+ 0xF1B248A5, 0x80CD3C2F,
+ 0xF1E43D1C, 0x80C7A80A,
+ 0xF21633C0, 0x80C22783,
+ 0xF2482C89, 0x80BCBA9C,
+ 0xF27A2770, 0x80B76155,
+ 0xF2AC246D, 0x80B21BAF,
+ 0xF2DE2378, 0x80ACE9AB,
+ 0xF310248A, 0x80A7CB49,
+ 0xF342279A, 0x80A2C08B,
+ 0xF3742CA1, 0x809DC970,
+ 0xF3A63398, 0x8098E5FB,
+ 0xF3D83C76, 0x8094162B,
+ 0xF40A4734, 0x808F5A02,
+ 0xF43C53CA, 0x808AB180,
+ 0xF46E6231, 0x80861CA5,
+ 0xF4A07260, 0x80819B74,
+ 0xF4D28451, 0x807D2DEB,
+ 0xF50497FA, 0x8078D40D,
+ 0xF536AD55, 0x80748DD9,
+ 0xF568C45A, 0x80705B50,
+ 0xF59ADD01, 0x806C3C73,
+ 0xF5CCF743, 0x80683143,
+ 0xF5FF1317, 0x806439C0,
+ 0xF6313076, 0x806055EA,
+ 0xF6634F58, 0x805C85C3,
+ 0xF6956FB6, 0x8058C94C,
+ 0xF6C79188, 0x80552083,
+ 0xF6F9B4C5, 0x80518B6B,
+ 0xF72BD967, 0x804E0A03,
+ 0xF75DFF65, 0x804A9C4D,
+ 0xF79026B8, 0x80474248,
+ 0xF7C24F58, 0x8043FBF6,
+ 0xF7F4793E, 0x8040C956,
+ 0xF826A461, 0x803DAA69,
+ 0xF858D0BA, 0x803A9F31,
+ 0xF88AFE41, 0x8037A7AC,
+ 0xF8BD2CEF, 0x8034C3DC,
+ 0xF8EF5CBB, 0x8031F3C1,
+ 0xF9218D9E, 0x802F375C,
+ 0xF953BF90, 0x802C8EAD,
+ 0xF985F28A, 0x8029F9B4,
+ 0xF9B82683, 0x80277872,
+ 0xF9EA5B75, 0x80250AE7,
+ 0xFA1C9156, 0x8022B113,
+ 0xFA4EC820, 0x80206AF8,
+ 0xFA80FFCB, 0x801E3894,
+ 0xFAB3384F, 0x801C19E9,
+ 0xFAE571A4, 0x801A0EF7,
+ 0xFB17ABC2, 0x801817BF,
+ 0xFB49E6A2, 0x80163440,
+ 0xFB7C223C, 0x8014647A,
+ 0xFBAE5E89, 0x8012A86F,
+ 0xFBE09B80, 0x8011001E,
+ 0xFC12D919, 0x800F6B88,
+ 0xFC45174E, 0x800DEAAC,
+ 0xFC775616, 0x800C7D8C,
+ 0xFCA99569, 0x800B2427,
+ 0xFCDBD541, 0x8009DE7D,
+ 0xFD0E1594, 0x8008AC90,
+ 0xFD40565B, 0x80078E5E,
+ 0xFD72978F, 0x800683E8,
+ 0xFDA4D928, 0x80058D2E,
+ 0xFDD71B1E, 0x8004AA31,
+ 0xFE095D69, 0x8003DAF0,
+ 0xFE3BA001, 0x80031F6C,
+ 0xFE6DE2E0, 0x800277A5,
+ 0xFEA025FC, 0x8001E39B,
+ 0xFED2694F, 0x8001634D,
+ 0xFF04ACD0, 0x8000F6BD,
+ 0xFF36F078, 0x80009DE9,
+ 0xFF69343E, 0x800058D3,
+ 0xFF9B781D, 0x8000277A,
+ 0xFFCDBC0A, 0x800009DE
+};
+
+
+
+/*
+* @brief q15 Twiddle factors Table
+*/
+
+
+/**
+* \par
+* Example code for q15 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 16 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to q15(Fixed point 1.15):
+* round(twiddleCoefq15(i) * pow(2, 15))
+*
+*/
+const q15_t twiddleCoef_16_q15[24] = {
+ 0x7FFF, 0x0000,
+ 0x7641, 0x30FB,
+ 0x5A82, 0x5A82,
+ 0x30FB, 0x7641,
+ 0x0000, 0x7FFF,
+ 0xCF04, 0x7641,
+ 0xA57D, 0x5A82,
+ 0x89BE, 0x30FB,
+ 0x8000, 0x0000,
+ 0x89BE, 0xCF04,
+ 0xA57D, 0xA57D,
+ 0xCF04, 0x89BE
+};
+
+/**
+* \par
+* Example code for q15 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 32 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to q15(Fixed point 1.15):
+* round(twiddleCoefq15(i) * pow(2, 15))
+*
+*/
+const q15_t twiddleCoef_32_q15[48] = {
+ 0x7FFF, 0x0000,
+ 0x7D8A, 0x18F8,
+ 0x7641, 0x30FB,
+ 0x6A6D, 0x471C,
+ 0x5A82, 0x5A82,
+ 0x471C, 0x6A6D,
+ 0x30FB, 0x7641,
+ 0x18F8, 0x7D8A,
+ 0x0000, 0x7FFF,
+ 0xE707, 0x7D8A,
+ 0xCF04, 0x7641,
+ 0xB8E3, 0x6A6D,
+ 0xA57D, 0x5A82,
+ 0x9592, 0x471C,
+ 0x89BE, 0x30FB,
+ 0x8275, 0x18F8,
+ 0x8000, 0x0000,
+ 0x8275, 0xE707,
+ 0x89BE, 0xCF04,
+ 0x9592, 0xB8E3,
+ 0xA57D, 0xA57D,
+ 0xB8E3, 0x9592,
+ 0xCF04, 0x89BE,
+ 0xE707, 0x8275
+};
+
+/**
+* \par
+* Example code for q15 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 64 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to q15(Fixed point 1.15):
+* round(twiddleCoefq15(i) * pow(2, 15))
+*
+*/
+const q15_t twiddleCoef_64_q15[96] = {
+ 0x7FFF, 0x0000,
+ 0x7F62, 0x0C8B,
+ 0x7D8A, 0x18F8,
+ 0x7A7D, 0x2528,
+ 0x7641, 0x30FB,
+ 0x70E2, 0x3C56,
+ 0x6A6D, 0x471C,
+ 0x62F2, 0x5133,
+ 0x5A82, 0x5A82,
+ 0x5133, 0x62F2,
+ 0x471C, 0x6A6D,
+ 0x3C56, 0x70E2,
+ 0x30FB, 0x7641,
+ 0x2528, 0x7A7D,
+ 0x18F8, 0x7D8A,
+ 0x0C8B, 0x7F62,
+ 0x0000, 0x7FFF,
+ 0xF374, 0x7F62,
+ 0xE707, 0x7D8A,
+ 0xDAD7, 0x7A7D,
+ 0xCF04, 0x7641,
+ 0xC3A9, 0x70E2,
+ 0xB8E3, 0x6A6D,
+ 0xAECC, 0x62F2,
+ 0xA57D, 0x5A82,
+ 0x9D0D, 0x5133,
+ 0x9592, 0x471C,
+ 0x8F1D, 0x3C56,
+ 0x89BE, 0x30FB,
+ 0x8582, 0x2528,
+ 0x8275, 0x18F8,
+ 0x809D, 0x0C8B,
+ 0x8000, 0x0000,
+ 0x809D, 0xF374,
+ 0x8275, 0xE707,
+ 0x8582, 0xDAD7,
+ 0x89BE, 0xCF04,
+ 0x8F1D, 0xC3A9,
+ 0x9592, 0xB8E3,
+ 0x9D0D, 0xAECC,
+ 0xA57D, 0xA57D,
+ 0xAECC, 0x9D0D,
+ 0xB8E3, 0x9592,
+ 0xC3A9, 0x8F1D,
+ 0xCF04, 0x89BE,
+ 0xDAD7, 0x8582,
+ 0xE707, 0x8275,
+ 0xF374, 0x809D
+};
+
+/**
+* \par
+* Example code for q15 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 128 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to q15(Fixed point 1.15):
+* round(twiddleCoefq15(i) * pow(2, 15))
+*
+*/
+const q15_t twiddleCoef_128_q15[192] = {
+ 0x7FFF, 0x0000,
+ 0x7FD8, 0x0647,
+ 0x7F62, 0x0C8B,
+ 0x7E9D, 0x12C8,
+ 0x7D8A, 0x18F8,
+ 0x7C29, 0x1F19,
+ 0x7A7D, 0x2528,
+ 0x7884, 0x2B1F,
+ 0x7641, 0x30FB,
+ 0x73B5, 0x36BA,
+ 0x70E2, 0x3C56,
+ 0x6DCA, 0x41CE,
+ 0x6A6D, 0x471C,
+ 0x66CF, 0x4C3F,
+ 0x62F2, 0x5133,
+ 0x5ED7, 0x55F5,
+ 0x5A82, 0x5A82,
+ 0x55F5, 0x5ED7,
+ 0x5133, 0x62F2,
+ 0x4C3F, 0x66CF,
+ 0x471C, 0x6A6D,
+ 0x41CE, 0x6DCA,
+ 0x3C56, 0x70E2,
+ 0x36BA, 0x73B5,
+ 0x30FB, 0x7641,
+ 0x2B1F, 0x7884,
+ 0x2528, 0x7A7D,
+ 0x1F19, 0x7C29,
+ 0x18F8, 0x7D8A,
+ 0x12C8, 0x7E9D,
+ 0x0C8B, 0x7F62,
+ 0x0647, 0x7FD8,
+ 0x0000, 0x7FFF,
+ 0xF9B8, 0x7FD8,
+ 0xF374, 0x7F62,
+ 0xED37, 0x7E9D,
+ 0xE707, 0x7D8A,
+ 0xE0E6, 0x7C29,
+ 0xDAD7, 0x7A7D,
+ 0xD4E0, 0x7884,
+ 0xCF04, 0x7641,
+ 0xC945, 0x73B5,
+ 0xC3A9, 0x70E2,
+ 0xBE31, 0x6DCA,
+ 0xB8E3, 0x6A6D,
+ 0xB3C0, 0x66CF,
+ 0xAECC, 0x62F2,
+ 0xAA0A, 0x5ED7,
+ 0xA57D, 0x5A82,
+ 0xA128, 0x55F5,
+ 0x9D0D, 0x5133,
+ 0x9930, 0x4C3F,
+ 0x9592, 0x471C,
+ 0x9235, 0x41CE,
+ 0x8F1D, 0x3C56,
+ 0x8C4A, 0x36BA,
+ 0x89BE, 0x30FB,
+ 0x877B, 0x2B1F,
+ 0x8582, 0x2528,
+ 0x83D6, 0x1F19,
+ 0x8275, 0x18F8,
+ 0x8162, 0x12C8,
+ 0x809D, 0x0C8B,
+ 0x8027, 0x0647,
+ 0x8000, 0x0000,
+ 0x8027, 0xF9B8,
+ 0x809D, 0xF374,
+ 0x8162, 0xED37,
+ 0x8275, 0xE707,
+ 0x83D6, 0xE0E6,
+ 0x8582, 0xDAD7,
+ 0x877B, 0xD4E0,
+ 0x89BE, 0xCF04,
+ 0x8C4A, 0xC945,
+ 0x8F1D, 0xC3A9,
+ 0x9235, 0xBE31,
+ 0x9592, 0xB8E3,
+ 0x9930, 0xB3C0,
+ 0x9D0D, 0xAECC,
+ 0xA128, 0xAA0A,
+ 0xA57D, 0xA57D,
+ 0xAA0A, 0xA128,
+ 0xAECC, 0x9D0D,
+ 0xB3C0, 0x9930,
+ 0xB8E3, 0x9592,
+ 0xBE31, 0x9235,
+ 0xC3A9, 0x8F1D,
+ 0xC945, 0x8C4A,
+ 0xCF04, 0x89BE,
+ 0xD4E0, 0x877B,
+ 0xDAD7, 0x8582,
+ 0xE0E6, 0x83D6,
+ 0xE707, 0x8275,
+ 0xED37, 0x8162,
+ 0xF374, 0x809D,
+ 0xF9B8, 0x8027
+};
+
+/**
+* \par
+* Example code for q15 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 256 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to q15(Fixed point 1.15):
+* round(twiddleCoefq15(i) * pow(2, 15))
+*
+*/
+const q15_t twiddleCoef_256_q15[384] = {
+ 0x7FFF, 0x0000,
+ 0x7FF6, 0x0324,
+ 0x7FD8, 0x0647,
+ 0x7FA7, 0x096A,
+ 0x7F62, 0x0C8B,
+ 0x7F09, 0x0FAB,
+ 0x7E9D, 0x12C8,
+ 0x7E1D, 0x15E2,
+ 0x7D8A, 0x18F8,
+ 0x7CE3, 0x1C0B,
+ 0x7C29, 0x1F19,
+ 0x7B5D, 0x2223,
+ 0x7A7D, 0x2528,
+ 0x798A, 0x2826,
+ 0x7884, 0x2B1F,
+ 0x776C, 0x2E11,
+ 0x7641, 0x30FB,
+ 0x7504, 0x33DE,
+ 0x73B5, 0x36BA,
+ 0x7255, 0x398C,
+ 0x70E2, 0x3C56,
+ 0x6F5F, 0x3F17,
+ 0x6DCA, 0x41CE,
+ 0x6C24, 0x447A,
+ 0x6A6D, 0x471C,
+ 0x68A6, 0x49B4,
+ 0x66CF, 0x4C3F,
+ 0x64E8, 0x4EBF,
+ 0x62F2, 0x5133,
+ 0x60EC, 0x539B,
+ 0x5ED7, 0x55F5,
+ 0x5CB4, 0x5842,
+ 0x5A82, 0x5A82,
+ 0x5842, 0x5CB4,
+ 0x55F5, 0x5ED7,
+ 0x539B, 0x60EC,
+ 0x5133, 0x62F2,
+ 0x4EBF, 0x64E8,
+ 0x4C3F, 0x66CF,
+ 0x49B4, 0x68A6,
+ 0x471C, 0x6A6D,
+ 0x447A, 0x6C24,
+ 0x41CE, 0x6DCA,
+ 0x3F17, 0x6F5F,
+ 0x3C56, 0x70E2,
+ 0x398C, 0x7255,
+ 0x36BA, 0x73B5,
+ 0x33DE, 0x7504,
+ 0x30FB, 0x7641,
+ 0x2E11, 0x776C,
+ 0x2B1F, 0x7884,
+ 0x2826, 0x798A,
+ 0x2528, 0x7A7D,
+ 0x2223, 0x7B5D,
+ 0x1F19, 0x7C29,
+ 0x1C0B, 0x7CE3,
+ 0x18F8, 0x7D8A,
+ 0x15E2, 0x7E1D,
+ 0x12C8, 0x7E9D,
+ 0x0FAB, 0x7F09,
+ 0x0C8B, 0x7F62,
+ 0x096A, 0x7FA7,
+ 0x0647, 0x7FD8,
+ 0x0324, 0x7FF6,
+ 0x0000, 0x7FFF,
+ 0xFCDB, 0x7FF6,
+ 0xF9B8, 0x7FD8,
+ 0xF695, 0x7FA7,
+ 0xF374, 0x7F62,
+ 0xF054, 0x7F09,
+ 0xED37, 0x7E9D,
+ 0xEA1D, 0x7E1D,
+ 0xE707, 0x7D8A,
+ 0xE3F4, 0x7CE3,
+ 0xE0E6, 0x7C29,
+ 0xDDDC, 0x7B5D,
+ 0xDAD7, 0x7A7D,
+ 0xD7D9, 0x798A,
+ 0xD4E0, 0x7884,
+ 0xD1EE, 0x776C,
+ 0xCF04, 0x7641,
+ 0xCC21, 0x7504,
+ 0xC945, 0x73B5,
+ 0xC673, 0x7255,
+ 0xC3A9, 0x70E2,
+ 0xC0E8, 0x6F5F,
+ 0xBE31, 0x6DCA,
+ 0xBB85, 0x6C24,
+ 0xB8E3, 0x6A6D,
+ 0xB64B, 0x68A6,
+ 0xB3C0, 0x66CF,
+ 0xB140, 0x64E8,
+ 0xAECC, 0x62F2,
+ 0xAC64, 0x60EC,
+ 0xAA0A, 0x5ED7,
+ 0xA7BD, 0x5CB4,
+ 0xA57D, 0x5A82,
+ 0xA34B, 0x5842,
+ 0xA128, 0x55F5,
+ 0x9F13, 0x539B,
+ 0x9D0D, 0x5133,
+ 0x9B17, 0x4EBF,
+ 0x9930, 0x4C3F,
+ 0x9759, 0x49B4,
+ 0x9592, 0x471C,
+ 0x93DB, 0x447A,
+ 0x9235, 0x41CE,
+ 0x90A0, 0x3F17,
+ 0x8F1D, 0x3C56,
+ 0x8DAA, 0x398C,
+ 0x8C4A, 0x36BA,
+ 0x8AFB, 0x33DE,
+ 0x89BE, 0x30FB,
+ 0x8893, 0x2E11,
+ 0x877B, 0x2B1F,
+ 0x8675, 0x2826,
+ 0x8582, 0x2528,
+ 0x84A2, 0x2223,
+ 0x83D6, 0x1F19,
+ 0x831C, 0x1C0B,
+ 0x8275, 0x18F8,
+ 0x81E2, 0x15E2,
+ 0x8162, 0x12C8,
+ 0x80F6, 0x0FAB,
+ 0x809D, 0x0C8B,
+ 0x8058, 0x096A,
+ 0x8027, 0x0647,
+ 0x8009, 0x0324,
+ 0x8000, 0x0000,
+ 0x8009, 0xFCDB,
+ 0x8027, 0xF9B8,
+ 0x8058, 0xF695,
+ 0x809D, 0xF374,
+ 0x80F6, 0xF054,
+ 0x8162, 0xED37,
+ 0x81E2, 0xEA1D,
+ 0x8275, 0xE707,
+ 0x831C, 0xE3F4,
+ 0x83D6, 0xE0E6,
+ 0x84A2, 0xDDDC,
+ 0x8582, 0xDAD7,
+ 0x8675, 0xD7D9,
+ 0x877B, 0xD4E0,
+ 0x8893, 0xD1EE,
+ 0x89BE, 0xCF04,
+ 0x8AFB, 0xCC21,
+ 0x8C4A, 0xC945,
+ 0x8DAA, 0xC673,
+ 0x8F1D, 0xC3A9,
+ 0x90A0, 0xC0E8,
+ 0x9235, 0xBE31,
+ 0x93DB, 0xBB85,
+ 0x9592, 0xB8E3,
+ 0x9759, 0xB64B,
+ 0x9930, 0xB3C0,
+ 0x9B17, 0xB140,
+ 0x9D0D, 0xAECC,
+ 0x9F13, 0xAC64,
+ 0xA128, 0xAA0A,
+ 0xA34B, 0xA7BD,
+ 0xA57D, 0xA57D,
+ 0xA7BD, 0xA34B,
+ 0xAA0A, 0xA128,
+ 0xAC64, 0x9F13,
+ 0xAECC, 0x9D0D,
+ 0xB140, 0x9B17,
+ 0xB3C0, 0x9930,
+ 0xB64B, 0x9759,
+ 0xB8E3, 0x9592,
+ 0xBB85, 0x93DB,
+ 0xBE31, 0x9235,
+ 0xC0E8, 0x90A0,
+ 0xC3A9, 0x8F1D,
+ 0xC673, 0x8DAA,
+ 0xC945, 0x8C4A,
+ 0xCC21, 0x8AFB,
+ 0xCF04, 0x89BE,
+ 0xD1EE, 0x8893,
+ 0xD4E0, 0x877B,
+ 0xD7D9, 0x8675,
+ 0xDAD7, 0x8582,
+ 0xDDDC, 0x84A2,
+ 0xE0E6, 0x83D6,
+ 0xE3F4, 0x831C,
+ 0xE707, 0x8275,
+ 0xEA1D, 0x81E2,
+ 0xED37, 0x8162,
+ 0xF054, 0x80F6,
+ 0xF374, 0x809D,
+ 0xF695, 0x8058,
+ 0xF9B8, 0x8027,
+ 0xFCDB, 0x8009
+};
+
+/**
+* \par
+* Example code for q15 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 512 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to q15(Fixed point 1.15):
+* round(twiddleCoefq15(i) * pow(2, 15))
+*
+*/
+const q15_t twiddleCoef_512_q15[768] = {
+ 0x7FFF, 0x0000,
+ 0x7FFD, 0x0192,
+ 0x7FF6, 0x0324,
+ 0x7FE9, 0x04B6,
+ 0x7FD8, 0x0647,
+ 0x7FC2, 0x07D9,
+ 0x7FA7, 0x096A,
+ 0x7F87, 0x0AFB,
+ 0x7F62, 0x0C8B,
+ 0x7F38, 0x0E1B,
+ 0x7F09, 0x0FAB,
+ 0x7ED5, 0x1139,
+ 0x7E9D, 0x12C8,
+ 0x7E5F, 0x1455,
+ 0x7E1D, 0x15E2,
+ 0x7DD6, 0x176D,
+ 0x7D8A, 0x18F8,
+ 0x7D39, 0x1A82,
+ 0x7CE3, 0x1C0B,
+ 0x7C89, 0x1D93,
+ 0x7C29, 0x1F19,
+ 0x7BC5, 0x209F,
+ 0x7B5D, 0x2223,
+ 0x7AEF, 0x23A6,
+ 0x7A7D, 0x2528,
+ 0x7A05, 0x26A8,
+ 0x798A, 0x2826,
+ 0x7909, 0x29A3,
+ 0x7884, 0x2B1F,
+ 0x77FA, 0x2C98,
+ 0x776C, 0x2E11,
+ 0x76D9, 0x2F87,
+ 0x7641, 0x30FB,
+ 0x75A5, 0x326E,
+ 0x7504, 0x33DE,
+ 0x745F, 0x354D,
+ 0x73B5, 0x36BA,
+ 0x7307, 0x3824,
+ 0x7255, 0x398C,
+ 0x719E, 0x3AF2,
+ 0x70E2, 0x3C56,
+ 0x7023, 0x3DB8,
+ 0x6F5F, 0x3F17,
+ 0x6E96, 0x4073,
+ 0x6DCA, 0x41CE,
+ 0x6CF9, 0x4325,
+ 0x6C24, 0x447A,
+ 0x6B4A, 0x45CD,
+ 0x6A6D, 0x471C,
+ 0x698C, 0x4869,
+ 0x68A6, 0x49B4,
+ 0x67BD, 0x4AFB,
+ 0x66CF, 0x4C3F,
+ 0x65DD, 0x4D81,
+ 0x64E8, 0x4EBF,
+ 0x63EF, 0x4FFB,
+ 0x62F2, 0x5133,
+ 0x61F1, 0x5269,
+ 0x60EC, 0x539B,
+ 0x5FE3, 0x54CA,
+ 0x5ED7, 0x55F5,
+ 0x5DC7, 0x571D,
+ 0x5CB4, 0x5842,
+ 0x5B9D, 0x5964,
+ 0x5A82, 0x5A82,
+ 0x5964, 0x5B9D,
+ 0x5842, 0x5CB4,
+ 0x571D, 0x5DC7,
+ 0x55F5, 0x5ED7,
+ 0x54CA, 0x5FE3,
+ 0x539B, 0x60EC,
+ 0x5269, 0x61F1,
+ 0x5133, 0x62F2,
+ 0x4FFB, 0x63EF,
+ 0x4EBF, 0x64E8,
+ 0x4D81, 0x65DD,
+ 0x4C3F, 0x66CF,
+ 0x4AFB, 0x67BD,
+ 0x49B4, 0x68A6,
+ 0x4869, 0x698C,
+ 0x471C, 0x6A6D,
+ 0x45CD, 0x6B4A,
+ 0x447A, 0x6C24,
+ 0x4325, 0x6CF9,
+ 0x41CE, 0x6DCA,
+ 0x4073, 0x6E96,
+ 0x3F17, 0x6F5F,
+ 0x3DB8, 0x7023,
+ 0x3C56, 0x70E2,
+ 0x3AF2, 0x719E,
+ 0x398C, 0x7255,
+ 0x3824, 0x7307,
+ 0x36BA, 0x73B5,
+ 0x354D, 0x745F,
+ 0x33DE, 0x7504,
+ 0x326E, 0x75A5,
+ 0x30FB, 0x7641,
+ 0x2F87, 0x76D9,
+ 0x2E11, 0x776C,
+ 0x2C98, 0x77FA,
+ 0x2B1F, 0x7884,
+ 0x29A3, 0x7909,
+ 0x2826, 0x798A,
+ 0x26A8, 0x7A05,
+ 0x2528, 0x7A7D,
+ 0x23A6, 0x7AEF,
+ 0x2223, 0x7B5D,
+ 0x209F, 0x7BC5,
+ 0x1F19, 0x7C29,
+ 0x1D93, 0x7C89,
+ 0x1C0B, 0x7CE3,
+ 0x1A82, 0x7D39,
+ 0x18F8, 0x7D8A,
+ 0x176D, 0x7DD6,
+ 0x15E2, 0x7E1D,
+ 0x1455, 0x7E5F,
+ 0x12C8, 0x7E9D,
+ 0x1139, 0x7ED5,
+ 0x0FAB, 0x7F09,
+ 0x0E1B, 0x7F38,
+ 0x0C8B, 0x7F62,
+ 0x0AFB, 0x7F87,
+ 0x096A, 0x7FA7,
+ 0x07D9, 0x7FC2,
+ 0x0647, 0x7FD8,
+ 0x04B6, 0x7FE9,
+ 0x0324, 0x7FF6,
+ 0x0192, 0x7FFD,
+ 0x0000, 0x7FFF,
+ 0xFE6D, 0x7FFD,
+ 0xFCDB, 0x7FF6,
+ 0xFB49, 0x7FE9,
+ 0xF9B8, 0x7FD8,
+ 0xF826, 0x7FC2,
+ 0xF695, 0x7FA7,
+ 0xF504, 0x7F87,
+ 0xF374, 0x7F62,
+ 0xF1E4, 0x7F38,
+ 0xF054, 0x7F09,
+ 0xEEC6, 0x7ED5,
+ 0xED37, 0x7E9D,
+ 0xEBAA, 0x7E5F,
+ 0xEA1D, 0x7E1D,
+ 0xE892, 0x7DD6,
+ 0xE707, 0x7D8A,
+ 0xE57D, 0x7D39,
+ 0xE3F4, 0x7CE3,
+ 0xE26C, 0x7C89,
+ 0xE0E6, 0x7C29,
+ 0xDF60, 0x7BC5,
+ 0xDDDC, 0x7B5D,
+ 0xDC59, 0x7AEF,
+ 0xDAD7, 0x7A7D,
+ 0xD957, 0x7A05,
+ 0xD7D9, 0x798A,
+ 0xD65C, 0x7909,
+ 0xD4E0, 0x7884,
+ 0xD367, 0x77FA,
+ 0xD1EE, 0x776C,
+ 0xD078, 0x76D9,
+ 0xCF04, 0x7641,
+ 0xCD91, 0x75A5,
+ 0xCC21, 0x7504,
+ 0xCAB2, 0x745F,
+ 0xC945, 0x73B5,
+ 0xC7DB, 0x7307,
+ 0xC673, 0x7255,
+ 0xC50D, 0x719E,
+ 0xC3A9, 0x70E2,
+ 0xC247, 0x7023,
+ 0xC0E8, 0x6F5F,
+ 0xBF8C, 0x6E96,
+ 0xBE31, 0x6DCA,
+ 0xBCDA, 0x6CF9,
+ 0xBB85, 0x6C24,
+ 0xBA32, 0x6B4A,
+ 0xB8E3, 0x6A6D,
+ 0xB796, 0x698C,
+ 0xB64B, 0x68A6,
+ 0xB504, 0x67BD,
+ 0xB3C0, 0x66CF,
+ 0xB27E, 0x65DD,
+ 0xB140, 0x64E8,
+ 0xB004, 0x63EF,
+ 0xAECC, 0x62F2,
+ 0xAD96, 0x61F1,
+ 0xAC64, 0x60EC,
+ 0xAB35, 0x5FE3,
+ 0xAA0A, 0x5ED7,
+ 0xA8E2, 0x5DC7,
+ 0xA7BD, 0x5CB4,
+ 0xA69B, 0x5B9D,
+ 0xA57D, 0x5A82,
+ 0xA462, 0x5964,
+ 0xA34B, 0x5842,
+ 0xA238, 0x571D,
+ 0xA128, 0x55F5,
+ 0xA01C, 0x54CA,
+ 0x9F13, 0x539B,
+ 0x9E0E, 0x5269,
+ 0x9D0D, 0x5133,
+ 0x9C10, 0x4FFB,
+ 0x9B17, 0x4EBF,
+ 0x9A22, 0x4D81,
+ 0x9930, 0x4C3F,
+ 0x9842, 0x4AFB,
+ 0x9759, 0x49B4,
+ 0x9673, 0x4869,
+ 0x9592, 0x471C,
+ 0x94B5, 0x45CD,
+ 0x93DB, 0x447A,
+ 0x9306, 0x4325,
+ 0x9235, 0x41CE,
+ 0x9169, 0x4073,
+ 0x90A0, 0x3F17,
+ 0x8FDC, 0x3DB8,
+ 0x8F1D, 0x3C56,
+ 0x8E61, 0x3AF2,
+ 0x8DAA, 0x398C,
+ 0x8CF8, 0x3824,
+ 0x8C4A, 0x36BA,
+ 0x8BA0, 0x354D,
+ 0x8AFB, 0x33DE,
+ 0x8A5A, 0x326E,
+ 0x89BE, 0x30FB,
+ 0x8926, 0x2F87,
+ 0x8893, 0x2E11,
+ 0x8805, 0x2C98,
+ 0x877B, 0x2B1F,
+ 0x86F6, 0x29A3,
+ 0x8675, 0x2826,
+ 0x85FA, 0x26A8,
+ 0x8582, 0x2528,
+ 0x8510, 0x23A6,
+ 0x84A2, 0x2223,
+ 0x843A, 0x209F,
+ 0x83D6, 0x1F19,
+ 0x8376, 0x1D93,
+ 0x831C, 0x1C0B,
+ 0x82C6, 0x1A82,
+ 0x8275, 0x18F8,
+ 0x8229, 0x176D,
+ 0x81E2, 0x15E2,
+ 0x81A0, 0x1455,
+ 0x8162, 0x12C8,
+ 0x812A, 0x1139,
+ 0x80F6, 0x0FAB,
+ 0x80C7, 0x0E1B,
+ 0x809D, 0x0C8B,
+ 0x8078, 0x0AFB,
+ 0x8058, 0x096A,
+ 0x803D, 0x07D9,
+ 0x8027, 0x0647,
+ 0x8016, 0x04B6,
+ 0x8009, 0x0324,
+ 0x8002, 0x0192,
+ 0x8000, 0x0000,
+ 0x8002, 0xFE6D,
+ 0x8009, 0xFCDB,
+ 0x8016, 0xFB49,
+ 0x8027, 0xF9B8,
+ 0x803D, 0xF826,
+ 0x8058, 0xF695,
+ 0x8078, 0xF504,
+ 0x809D, 0xF374,
+ 0x80C7, 0xF1E4,
+ 0x80F6, 0xF054,
+ 0x812A, 0xEEC6,
+ 0x8162, 0xED37,
+ 0x81A0, 0xEBAA,
+ 0x81E2, 0xEA1D,
+ 0x8229, 0xE892,
+ 0x8275, 0xE707,
+ 0x82C6, 0xE57D,
+ 0x831C, 0xE3F4,
+ 0x8376, 0xE26C,
+ 0x83D6, 0xE0E6,
+ 0x843A, 0xDF60,
+ 0x84A2, 0xDDDC,
+ 0x8510, 0xDC59,
+ 0x8582, 0xDAD7,
+ 0x85FA, 0xD957,
+ 0x8675, 0xD7D9,
+ 0x86F6, 0xD65C,
+ 0x877B, 0xD4E0,
+ 0x8805, 0xD367,
+ 0x8893, 0xD1EE,
+ 0x8926, 0xD078,
+ 0x89BE, 0xCF04,
+ 0x8A5A, 0xCD91,
+ 0x8AFB, 0xCC21,
+ 0x8BA0, 0xCAB2,
+ 0x8C4A, 0xC945,
+ 0x8CF8, 0xC7DB,
+ 0x8DAA, 0xC673,
+ 0x8E61, 0xC50D,
+ 0x8F1D, 0xC3A9,
+ 0x8FDC, 0xC247,
+ 0x90A0, 0xC0E8,
+ 0x9169, 0xBF8C,
+ 0x9235, 0xBE31,
+ 0x9306, 0xBCDA,
+ 0x93DB, 0xBB85,
+ 0x94B5, 0xBA32,
+ 0x9592, 0xB8E3,
+ 0x9673, 0xB796,
+ 0x9759, 0xB64B,
+ 0x9842, 0xB504,
+ 0x9930, 0xB3C0,
+ 0x9A22, 0xB27E,
+ 0x9B17, 0xB140,
+ 0x9C10, 0xB004,
+ 0x9D0D, 0xAECC,
+ 0x9E0E, 0xAD96,
+ 0x9F13, 0xAC64,
+ 0xA01C, 0xAB35,
+ 0xA128, 0xAA0A,
+ 0xA238, 0xA8E2,
+ 0xA34B, 0xA7BD,
+ 0xA462, 0xA69B,
+ 0xA57D, 0xA57D,
+ 0xA69B, 0xA462,
+ 0xA7BD, 0xA34B,
+ 0xA8E2, 0xA238,
+ 0xAA0A, 0xA128,
+ 0xAB35, 0xA01C,
+ 0xAC64, 0x9F13,
+ 0xAD96, 0x9E0E,
+ 0xAECC, 0x9D0D,
+ 0xB004, 0x9C10,
+ 0xB140, 0x9B17,
+ 0xB27E, 0x9A22,
+ 0xB3C0, 0x9930,
+ 0xB504, 0x9842,
+ 0xB64B, 0x9759,
+ 0xB796, 0x9673,
+ 0xB8E3, 0x9592,
+ 0xBA32, 0x94B5,
+ 0xBB85, 0x93DB,
+ 0xBCDA, 0x9306,
+ 0xBE31, 0x9235,
+ 0xBF8C, 0x9169,
+ 0xC0E8, 0x90A0,
+ 0xC247, 0x8FDC,
+ 0xC3A9, 0x8F1D,
+ 0xC50D, 0x8E61,
+ 0xC673, 0x8DAA,
+ 0xC7DB, 0x8CF8,
+ 0xC945, 0x8C4A,
+ 0xCAB2, 0x8BA0,
+ 0xCC21, 0x8AFB,
+ 0xCD91, 0x8A5A,
+ 0xCF04, 0x89BE,
+ 0xD078, 0x8926,
+ 0xD1EE, 0x8893,
+ 0xD367, 0x8805,
+ 0xD4E0, 0x877B,
+ 0xD65C, 0x86F6,
+ 0xD7D9, 0x8675,
+ 0xD957, 0x85FA,
+ 0xDAD7, 0x8582,
+ 0xDC59, 0x8510,
+ 0xDDDC, 0x84A2,
+ 0xDF60, 0x843A,
+ 0xE0E6, 0x83D6,
+ 0xE26C, 0x8376,
+ 0xE3F4, 0x831C,
+ 0xE57D, 0x82C6,
+ 0xE707, 0x8275,
+ 0xE892, 0x8229,
+ 0xEA1D, 0x81E2,
+ 0xEBAA, 0x81A0,
+ 0xED37, 0x8162,
+ 0xEEC6, 0x812A,
+ 0xF054, 0x80F6,
+ 0xF1E4, 0x80C7,
+ 0xF374, 0x809D,
+ 0xF504, 0x8078,
+ 0xF695, 0x8058,
+ 0xF826, 0x803D,
+ 0xF9B8, 0x8027,
+ 0xFB49, 0x8016,
+ 0xFCDB, 0x8009,
+ 0xFE6D, 0x8002
+};
+
+/**
+* \par
+* Example code for q15 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 1024 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to q15(Fixed point 1.15):
+* round(twiddleCoefq15(i) * pow(2, 15))
+*
+*/
+const q15_t twiddleCoef_1024_q15[1536] = {
+ 0x7FFF, 0x0000,
+ 0x7FFF, 0x00C9,
+ 0x7FFD, 0x0192,
+ 0x7FFA, 0x025B,
+ 0x7FF6, 0x0324,
+ 0x7FF0, 0x03ED,
+ 0x7FE9, 0x04B6,
+ 0x7FE1, 0x057F,
+ 0x7FD8, 0x0647,
+ 0x7FCE, 0x0710,
+ 0x7FC2, 0x07D9,
+ 0x7FB5, 0x08A2,
+ 0x7FA7, 0x096A,
+ 0x7F97, 0x0A33,
+ 0x7F87, 0x0AFB,
+ 0x7F75, 0x0BC3,
+ 0x7F62, 0x0C8B,
+ 0x7F4D, 0x0D53,
+ 0x7F38, 0x0E1B,
+ 0x7F21, 0x0EE3,
+ 0x7F09, 0x0FAB,
+ 0x7EF0, 0x1072,
+ 0x7ED5, 0x1139,
+ 0x7EBA, 0x1201,
+ 0x7E9D, 0x12C8,
+ 0x7E7F, 0x138E,
+ 0x7E5F, 0x1455,
+ 0x7E3F, 0x151B,
+ 0x7E1D, 0x15E2,
+ 0x7DFA, 0x16A8,
+ 0x7DD6, 0x176D,
+ 0x7DB0, 0x1833,
+ 0x7D8A, 0x18F8,
+ 0x7D62, 0x19BD,
+ 0x7D39, 0x1A82,
+ 0x7D0F, 0x1B47,
+ 0x7CE3, 0x1C0B,
+ 0x7CB7, 0x1CCF,
+ 0x7C89, 0x1D93,
+ 0x7C5A, 0x1E56,
+ 0x7C29, 0x1F19,
+ 0x7BF8, 0x1FDC,
+ 0x7BC5, 0x209F,
+ 0x7B92, 0x2161,
+ 0x7B5D, 0x2223,
+ 0x7B26, 0x22E5,
+ 0x7AEF, 0x23A6,
+ 0x7AB6, 0x2467,
+ 0x7A7D, 0x2528,
+ 0x7A42, 0x25E8,
+ 0x7A05, 0x26A8,
+ 0x79C8, 0x2767,
+ 0x798A, 0x2826,
+ 0x794A, 0x28E5,
+ 0x7909, 0x29A3,
+ 0x78C7, 0x2A61,
+ 0x7884, 0x2B1F,
+ 0x7840, 0x2BDC,
+ 0x77FA, 0x2C98,
+ 0x77B4, 0x2D55,
+ 0x776C, 0x2E11,
+ 0x7723, 0x2ECC,
+ 0x76D9, 0x2F87,
+ 0x768E, 0x3041,
+ 0x7641, 0x30FB,
+ 0x75F4, 0x31B5,
+ 0x75A5, 0x326E,
+ 0x7555, 0x3326,
+ 0x7504, 0x33DE,
+ 0x74B2, 0x3496,
+ 0x745F, 0x354D,
+ 0x740B, 0x3604,
+ 0x73B5, 0x36BA,
+ 0x735F, 0x376F,
+ 0x7307, 0x3824,
+ 0x72AF, 0x38D8,
+ 0x7255, 0x398C,
+ 0x71FA, 0x3A40,
+ 0x719E, 0x3AF2,
+ 0x7141, 0x3BA5,
+ 0x70E2, 0x3C56,
+ 0x7083, 0x3D07,
+ 0x7023, 0x3DB8,
+ 0x6FC1, 0x3E68,
+ 0x6F5F, 0x3F17,
+ 0x6EFB, 0x3FC5,
+ 0x6E96, 0x4073,
+ 0x6E30, 0x4121,
+ 0x6DCA, 0x41CE,
+ 0x6D62, 0x427A,
+ 0x6CF9, 0x4325,
+ 0x6C8F, 0x43D0,
+ 0x6C24, 0x447A,
+ 0x6BB8, 0x4524,
+ 0x6B4A, 0x45CD,
+ 0x6ADC, 0x4675,
+ 0x6A6D, 0x471C,
+ 0x69FD, 0x47C3,
+ 0x698C, 0x4869,
+ 0x6919, 0x490F,
+ 0x68A6, 0x49B4,
+ 0x6832, 0x4A58,
+ 0x67BD, 0x4AFB,
+ 0x6746, 0x4B9E,
+ 0x66CF, 0x4C3F,
+ 0x6657, 0x4CE1,
+ 0x65DD, 0x4D81,
+ 0x6563, 0x4E21,
+ 0x64E8, 0x4EBF,
+ 0x646C, 0x4F5E,
+ 0x63EF, 0x4FFB,
+ 0x6371, 0x5097,
+ 0x62F2, 0x5133,
+ 0x6271, 0x51CE,
+ 0x61F1, 0x5269,
+ 0x616F, 0x5302,
+ 0x60EC, 0x539B,
+ 0x6068, 0x5433,
+ 0x5FE3, 0x54CA,
+ 0x5F5E, 0x5560,
+ 0x5ED7, 0x55F5,
+ 0x5E50, 0x568A,
+ 0x5DC7, 0x571D,
+ 0x5D3E, 0x57B0,
+ 0x5CB4, 0x5842,
+ 0x5C29, 0x58D4,
+ 0x5B9D, 0x5964,
+ 0x5B10, 0x59F3,
+ 0x5A82, 0x5A82,
+ 0x59F3, 0x5B10,
+ 0x5964, 0x5B9D,
+ 0x58D4, 0x5C29,
+ 0x5842, 0x5CB4,
+ 0x57B0, 0x5D3E,
+ 0x571D, 0x5DC7,
+ 0x568A, 0x5E50,
+ 0x55F5, 0x5ED7,
+ 0x5560, 0x5F5E,
+ 0x54CA, 0x5FE3,
+ 0x5433, 0x6068,
+ 0x539B, 0x60EC,
+ 0x5302, 0x616F,
+ 0x5269, 0x61F1,
+ 0x51CE, 0x6271,
+ 0x5133, 0x62F2,
+ 0x5097, 0x6371,
+ 0x4FFB, 0x63EF,
+ 0x4F5E, 0x646C,
+ 0x4EBF, 0x64E8,
+ 0x4E21, 0x6563,
+ 0x4D81, 0x65DD,
+ 0x4CE1, 0x6657,
+ 0x4C3F, 0x66CF,
+ 0x4B9E, 0x6746,
+ 0x4AFB, 0x67BD,
+ 0x4A58, 0x6832,
+ 0x49B4, 0x68A6,
+ 0x490F, 0x6919,
+ 0x4869, 0x698C,
+ 0x47C3, 0x69FD,
+ 0x471C, 0x6A6D,
+ 0x4675, 0x6ADC,
+ 0x45CD, 0x6B4A,
+ 0x4524, 0x6BB8,
+ 0x447A, 0x6C24,
+ 0x43D0, 0x6C8F,
+ 0x4325, 0x6CF9,
+ 0x427A, 0x6D62,
+ 0x41CE, 0x6DCA,
+ 0x4121, 0x6E30,
+ 0x4073, 0x6E96,
+ 0x3FC5, 0x6EFB,
+ 0x3F17, 0x6F5F,
+ 0x3E68, 0x6FC1,
+ 0x3DB8, 0x7023,
+ 0x3D07, 0x7083,
+ 0x3C56, 0x70E2,
+ 0x3BA5, 0x7141,
+ 0x3AF2, 0x719E,
+ 0x3A40, 0x71FA,
+ 0x398C, 0x7255,
+ 0x38D8, 0x72AF,
+ 0x3824, 0x7307,
+ 0x376F, 0x735F,
+ 0x36BA, 0x73B5,
+ 0x3604, 0x740B,
+ 0x354D, 0x745F,
+ 0x3496, 0x74B2,
+ 0x33DE, 0x7504,
+ 0x3326, 0x7555,
+ 0x326E, 0x75A5,
+ 0x31B5, 0x75F4,
+ 0x30FB, 0x7641,
+ 0x3041, 0x768E,
+ 0x2F87, 0x76D9,
+ 0x2ECC, 0x7723,
+ 0x2E11, 0x776C,
+ 0x2D55, 0x77B4,
+ 0x2C98, 0x77FA,
+ 0x2BDC, 0x7840,
+ 0x2B1F, 0x7884,
+ 0x2A61, 0x78C7,
+ 0x29A3, 0x7909,
+ 0x28E5, 0x794A,
+ 0x2826, 0x798A,
+ 0x2767, 0x79C8,
+ 0x26A8, 0x7A05,
+ 0x25E8, 0x7A42,
+ 0x2528, 0x7A7D,
+ 0x2467, 0x7AB6,
+ 0x23A6, 0x7AEF,
+ 0x22E5, 0x7B26,
+ 0x2223, 0x7B5D,
+ 0x2161, 0x7B92,
+ 0x209F, 0x7BC5,
+ 0x1FDC, 0x7BF8,
+ 0x1F19, 0x7C29,
+ 0x1E56, 0x7C5A,
+ 0x1D93, 0x7C89,
+ 0x1CCF, 0x7CB7,
+ 0x1C0B, 0x7CE3,
+ 0x1B47, 0x7D0F,
+ 0x1A82, 0x7D39,
+ 0x19BD, 0x7D62,
+ 0x18F8, 0x7D8A,
+ 0x1833, 0x7DB0,
+ 0x176D, 0x7DD6,
+ 0x16A8, 0x7DFA,
+ 0x15E2, 0x7E1D,
+ 0x151B, 0x7E3F,
+ 0x1455, 0x7E5F,
+ 0x138E, 0x7E7F,
+ 0x12C8, 0x7E9D,
+ 0x1201, 0x7EBA,
+ 0x1139, 0x7ED5,
+ 0x1072, 0x7EF0,
+ 0x0FAB, 0x7F09,
+ 0x0EE3, 0x7F21,
+ 0x0E1B, 0x7F38,
+ 0x0D53, 0x7F4D,
+ 0x0C8B, 0x7F62,
+ 0x0BC3, 0x7F75,
+ 0x0AFB, 0x7F87,
+ 0x0A33, 0x7F97,
+ 0x096A, 0x7FA7,
+ 0x08A2, 0x7FB5,
+ 0x07D9, 0x7FC2,
+ 0x0710, 0x7FCE,
+ 0x0647, 0x7FD8,
+ 0x057F, 0x7FE1,
+ 0x04B6, 0x7FE9,
+ 0x03ED, 0x7FF0,
+ 0x0324, 0x7FF6,
+ 0x025B, 0x7FFA,
+ 0x0192, 0x7FFD,
+ 0x00C9, 0x7FFF,
+ 0x0000, 0x7FFF,
+ 0xFF36, 0x7FFF,
+ 0xFE6D, 0x7FFD,
+ 0xFDA4, 0x7FFA,
+ 0xFCDB, 0x7FF6,
+ 0xFC12, 0x7FF0,
+ 0xFB49, 0x7FE9,
+ 0xFA80, 0x7FE1,
+ 0xF9B8, 0x7FD8,
+ 0xF8EF, 0x7FCE,
+ 0xF826, 0x7FC2,
+ 0xF75D, 0x7FB5,
+ 0xF695, 0x7FA7,
+ 0xF5CC, 0x7F97,
+ 0xF504, 0x7F87,
+ 0xF43C, 0x7F75,
+ 0xF374, 0x7F62,
+ 0xF2AC, 0x7F4D,
+ 0xF1E4, 0x7F38,
+ 0xF11C, 0x7F21,
+ 0xF054, 0x7F09,
+ 0xEF8D, 0x7EF0,
+ 0xEEC6, 0x7ED5,
+ 0xEDFE, 0x7EBA,
+ 0xED37, 0x7E9D,
+ 0xEC71, 0x7E7F,
+ 0xEBAA, 0x7E5F,
+ 0xEAE4, 0x7E3F,
+ 0xEA1D, 0x7E1D,
+ 0xE957, 0x7DFA,
+ 0xE892, 0x7DD6,
+ 0xE7CC, 0x7DB0,
+ 0xE707, 0x7D8A,
+ 0xE642, 0x7D62,
+ 0xE57D, 0x7D39,
+ 0xE4B8, 0x7D0F,
+ 0xE3F4, 0x7CE3,
+ 0xE330, 0x7CB7,
+ 0xE26C, 0x7C89,
+ 0xE1A9, 0x7C5A,
+ 0xE0E6, 0x7C29,
+ 0xE023, 0x7BF8,
+ 0xDF60, 0x7BC5,
+ 0xDE9E, 0x7B92,
+ 0xDDDC, 0x7B5D,
+ 0xDD1A, 0x7B26,
+ 0xDC59, 0x7AEF,
+ 0xDB98, 0x7AB6,
+ 0xDAD7, 0x7A7D,
+ 0xDA17, 0x7A42,
+ 0xD957, 0x7A05,
+ 0xD898, 0x79C8,
+ 0xD7D9, 0x798A,
+ 0xD71A, 0x794A,
+ 0xD65C, 0x7909,
+ 0xD59E, 0x78C7,
+ 0xD4E0, 0x7884,
+ 0xD423, 0x7840,
+ 0xD367, 0x77FA,
+ 0xD2AA, 0x77B4,
+ 0xD1EE, 0x776C,
+ 0xD133, 0x7723,
+ 0xD078, 0x76D9,
+ 0xCFBE, 0x768E,
+ 0xCF04, 0x7641,
+ 0xCE4A, 0x75F4,
+ 0xCD91, 0x75A5,
+ 0xCCD9, 0x7555,
+ 0xCC21, 0x7504,
+ 0xCB69, 0x74B2,
+ 0xCAB2, 0x745F,
+ 0xC9FB, 0x740B,
+ 0xC945, 0x73B5,
+ 0xC890, 0x735F,
+ 0xC7DB, 0x7307,
+ 0xC727, 0x72AF,
+ 0xC673, 0x7255,
+ 0xC5BF, 0x71FA,
+ 0xC50D, 0x719E,
+ 0xC45A, 0x7141,
+ 0xC3A9, 0x70E2,
+ 0xC2F8, 0x7083,
+ 0xC247, 0x7023,
+ 0xC197, 0x6FC1,
+ 0xC0E8, 0x6F5F,
+ 0xC03A, 0x6EFB,
+ 0xBF8C, 0x6E96,
+ 0xBEDE, 0x6E30,
+ 0xBE31, 0x6DCA,
+ 0xBD85, 0x6D62,
+ 0xBCDA, 0x6CF9,
+ 0xBC2F, 0x6C8F,
+ 0xBB85, 0x6C24,
+ 0xBADB, 0x6BB8,
+ 0xBA32, 0x6B4A,
+ 0xB98A, 0x6ADC,
+ 0xB8E3, 0x6A6D,
+ 0xB83C, 0x69FD,
+ 0xB796, 0x698C,
+ 0xB6F0, 0x6919,
+ 0xB64B, 0x68A6,
+ 0xB5A7, 0x6832,
+ 0xB504, 0x67BD,
+ 0xB461, 0x6746,
+ 0xB3C0, 0x66CF,
+ 0xB31E, 0x6657,
+ 0xB27E, 0x65DD,
+ 0xB1DE, 0x6563,
+ 0xB140, 0x64E8,
+ 0xB0A1, 0x646C,
+ 0xB004, 0x63EF,
+ 0xAF68, 0x6371,
+ 0xAECC, 0x62F2,
+ 0xAE31, 0x6271,
+ 0xAD96, 0x61F1,
+ 0xACFD, 0x616F,
+ 0xAC64, 0x60EC,
+ 0xABCC, 0x6068,
+ 0xAB35, 0x5FE3,
+ 0xAA9F, 0x5F5E,
+ 0xAA0A, 0x5ED7,
+ 0xA975, 0x5E50,
+ 0xA8E2, 0x5DC7,
+ 0xA84F, 0x5D3E,
+ 0xA7BD, 0x5CB4,
+ 0xA72B, 0x5C29,
+ 0xA69B, 0x5B9D,
+ 0xA60C, 0x5B10,
+ 0xA57D, 0x5A82,
+ 0xA4EF, 0x59F3,
+ 0xA462, 0x5964,
+ 0xA3D6, 0x58D4,
+ 0xA34B, 0x5842,
+ 0xA2C1, 0x57B0,
+ 0xA238, 0x571D,
+ 0xA1AF, 0x568A,
+ 0xA128, 0x55F5,
+ 0xA0A1, 0x5560,
+ 0xA01C, 0x54CA,
+ 0x9F97, 0x5433,
+ 0x9F13, 0x539B,
+ 0x9E90, 0x5302,
+ 0x9E0E, 0x5269,
+ 0x9D8E, 0x51CE,
+ 0x9D0D, 0x5133,
+ 0x9C8E, 0x5097,
+ 0x9C10, 0x4FFB,
+ 0x9B93, 0x4F5E,
+ 0x9B17, 0x4EBF,
+ 0x9A9C, 0x4E21,
+ 0x9A22, 0x4D81,
+ 0x99A8, 0x4CE1,
+ 0x9930, 0x4C3F,
+ 0x98B9, 0x4B9E,
+ 0x9842, 0x4AFB,
+ 0x97CD, 0x4A58,
+ 0x9759, 0x49B4,
+ 0x96E6, 0x490F,
+ 0x9673, 0x4869,
+ 0x9602, 0x47C3,
+ 0x9592, 0x471C,
+ 0x9523, 0x4675,
+ 0x94B5, 0x45CD,
+ 0x9447, 0x4524,
+ 0x93DB, 0x447A,
+ 0x9370, 0x43D0,
+ 0x9306, 0x4325,
+ 0x929D, 0x427A,
+ 0x9235, 0x41CE,
+ 0x91CF, 0x4121,
+ 0x9169, 0x4073,
+ 0x9104, 0x3FC5,
+ 0x90A0, 0x3F17,
+ 0x903E, 0x3E68,
+ 0x8FDC, 0x3DB8,
+ 0x8F7C, 0x3D07,
+ 0x8F1D, 0x3C56,
+ 0x8EBE, 0x3BA5,
+ 0x8E61, 0x3AF2,
+ 0x8E05, 0x3A40,
+ 0x8DAA, 0x398C,
+ 0x8D50, 0x38D8,
+ 0x8CF8, 0x3824,
+ 0x8CA0, 0x376F,
+ 0x8C4A, 0x36BA,
+ 0x8BF4, 0x3604,
+ 0x8BA0, 0x354D,
+ 0x8B4D, 0x3496,
+ 0x8AFB, 0x33DE,
+ 0x8AAA, 0x3326,
+ 0x8A5A, 0x326E,
+ 0x8A0B, 0x31B5,
+ 0x89BE, 0x30FB,
+ 0x8971, 0x3041,
+ 0x8926, 0x2F87,
+ 0x88DC, 0x2ECC,
+ 0x8893, 0x2E11,
+ 0x884B, 0x2D55,
+ 0x8805, 0x2C98,
+ 0x87BF, 0x2BDC,
+ 0x877B, 0x2B1F,
+ 0x8738, 0x2A61,
+ 0x86F6, 0x29A3,
+ 0x86B5, 0x28E5,
+ 0x8675, 0x2826,
+ 0x8637, 0x2767,
+ 0x85FA, 0x26A8,
+ 0x85BD, 0x25E8,
+ 0x8582, 0x2528,
+ 0x8549, 0x2467,
+ 0x8510, 0x23A6,
+ 0x84D9, 0x22E5,
+ 0x84A2, 0x2223,
+ 0x846D, 0x2161,
+ 0x843A, 0x209F,
+ 0x8407, 0x1FDC,
+ 0x83D6, 0x1F19,
+ 0x83A5, 0x1E56,
+ 0x8376, 0x1D93,
+ 0x8348, 0x1CCF,
+ 0x831C, 0x1C0B,
+ 0x82F0, 0x1B47,
+ 0x82C6, 0x1A82,
+ 0x829D, 0x19BD,
+ 0x8275, 0x18F8,
+ 0x824F, 0x1833,
+ 0x8229, 0x176D,
+ 0x8205, 0x16A8,
+ 0x81E2, 0x15E2,
+ 0x81C0, 0x151B,
+ 0x81A0, 0x1455,
+ 0x8180, 0x138E,
+ 0x8162, 0x12C8,
+ 0x8145, 0x1201,
+ 0x812A, 0x1139,
+ 0x810F, 0x1072,
+ 0x80F6, 0x0FAB,
+ 0x80DE, 0x0EE3,
+ 0x80C7, 0x0E1B,
+ 0x80B2, 0x0D53,
+ 0x809D, 0x0C8B,
+ 0x808A, 0x0BC3,
+ 0x8078, 0x0AFB,
+ 0x8068, 0x0A33,
+ 0x8058, 0x096A,
+ 0x804A, 0x08A2,
+ 0x803D, 0x07D9,
+ 0x8031, 0x0710,
+ 0x8027, 0x0647,
+ 0x801E, 0x057F,
+ 0x8016, 0x04B6,
+ 0x800F, 0x03ED,
+ 0x8009, 0x0324,
+ 0x8005, 0x025B,
+ 0x8002, 0x0192,
+ 0x8000, 0x00C9,
+ 0x8000, 0x0000,
+ 0x8000, 0xFF36,
+ 0x8002, 0xFE6D,
+ 0x8005, 0xFDA4,
+ 0x8009, 0xFCDB,
+ 0x800F, 0xFC12,
+ 0x8016, 0xFB49,
+ 0x801E, 0xFA80,
+ 0x8027, 0xF9B8,
+ 0x8031, 0xF8EF,
+ 0x803D, 0xF826,
+ 0x804A, 0xF75D,
+ 0x8058, 0xF695,
+ 0x8068, 0xF5CC,
+ 0x8078, 0xF504,
+ 0x808A, 0xF43C,
+ 0x809D, 0xF374,
+ 0x80B2, 0xF2AC,
+ 0x80C7, 0xF1E4,
+ 0x80DE, 0xF11C,
+ 0x80F6, 0xF054,
+ 0x810F, 0xEF8D,
+ 0x812A, 0xEEC6,
+ 0x8145, 0xEDFE,
+ 0x8162, 0xED37,
+ 0x8180, 0xEC71,
+ 0x81A0, 0xEBAA,
+ 0x81C0, 0xEAE4,
+ 0x81E2, 0xEA1D,
+ 0x8205, 0xE957,
+ 0x8229, 0xE892,
+ 0x824F, 0xE7CC,
+ 0x8275, 0xE707,
+ 0x829D, 0xE642,
+ 0x82C6, 0xE57D,
+ 0x82F0, 0xE4B8,
+ 0x831C, 0xE3F4,
+ 0x8348, 0xE330,
+ 0x8376, 0xE26C,
+ 0x83A5, 0xE1A9,
+ 0x83D6, 0xE0E6,
+ 0x8407, 0xE023,
+ 0x843A, 0xDF60,
+ 0x846D, 0xDE9E,
+ 0x84A2, 0xDDDC,
+ 0x84D9, 0xDD1A,
+ 0x8510, 0xDC59,
+ 0x8549, 0xDB98,
+ 0x8582, 0xDAD7,
+ 0x85BD, 0xDA17,
+ 0x85FA, 0xD957,
+ 0x8637, 0xD898,
+ 0x8675, 0xD7D9,
+ 0x86B5, 0xD71A,
+ 0x86F6, 0xD65C,
+ 0x8738, 0xD59E,
+ 0x877B, 0xD4E0,
+ 0x87BF, 0xD423,
+ 0x8805, 0xD367,
+ 0x884B, 0xD2AA,
+ 0x8893, 0xD1EE,
+ 0x88DC, 0xD133,
+ 0x8926, 0xD078,
+ 0x8971, 0xCFBE,
+ 0x89BE, 0xCF04,
+ 0x8A0B, 0xCE4A,
+ 0x8A5A, 0xCD91,
+ 0x8AAA, 0xCCD9,
+ 0x8AFB, 0xCC21,
+ 0x8B4D, 0xCB69,
+ 0x8BA0, 0xCAB2,
+ 0x8BF4, 0xC9FB,
+ 0x8C4A, 0xC945,
+ 0x8CA0, 0xC890,
+ 0x8CF8, 0xC7DB,
+ 0x8D50, 0xC727,
+ 0x8DAA, 0xC673,
+ 0x8E05, 0xC5BF,
+ 0x8E61, 0xC50D,
+ 0x8EBE, 0xC45A,
+ 0x8F1D, 0xC3A9,
+ 0x8F7C, 0xC2F8,
+ 0x8FDC, 0xC247,
+ 0x903E, 0xC197,
+ 0x90A0, 0xC0E8,
+ 0x9104, 0xC03A,
+ 0x9169, 0xBF8C,
+ 0x91CF, 0xBEDE,
+ 0x9235, 0xBE31,
+ 0x929D, 0xBD85,
+ 0x9306, 0xBCDA,
+ 0x9370, 0xBC2F,
+ 0x93DB, 0xBB85,
+ 0x9447, 0xBADB,
+ 0x94B5, 0xBA32,
+ 0x9523, 0xB98A,
+ 0x9592, 0xB8E3,
+ 0x9602, 0xB83C,
+ 0x9673, 0xB796,
+ 0x96E6, 0xB6F0,
+ 0x9759, 0xB64B,
+ 0x97CD, 0xB5A7,
+ 0x9842, 0xB504,
+ 0x98B9, 0xB461,
+ 0x9930, 0xB3C0,
+ 0x99A8, 0xB31E,
+ 0x9A22, 0xB27E,
+ 0x9A9C, 0xB1DE,
+ 0x9B17, 0xB140,
+ 0x9B93, 0xB0A1,
+ 0x9C10, 0xB004,
+ 0x9C8E, 0xAF68,
+ 0x9D0D, 0xAECC,
+ 0x9D8E, 0xAE31,
+ 0x9E0E, 0xAD96,
+ 0x9E90, 0xACFD,
+ 0x9F13, 0xAC64,
+ 0x9F97, 0xABCC,
+ 0xA01C, 0xAB35,
+ 0xA0A1, 0xAA9F,
+ 0xA128, 0xAA0A,
+ 0xA1AF, 0xA975,
+ 0xA238, 0xA8E2,
+ 0xA2C1, 0xA84F,
+ 0xA34B, 0xA7BD,
+ 0xA3D6, 0xA72B,
+ 0xA462, 0xA69B,
+ 0xA4EF, 0xA60C,
+ 0xA57D, 0xA57D,
+ 0xA60C, 0xA4EF,
+ 0xA69B, 0xA462,
+ 0xA72B, 0xA3D6,
+ 0xA7BD, 0xA34B,
+ 0xA84F, 0xA2C1,
+ 0xA8E2, 0xA238,
+ 0xA975, 0xA1AF,
+ 0xAA0A, 0xA128,
+ 0xAA9F, 0xA0A1,
+ 0xAB35, 0xA01C,
+ 0xABCC, 0x9F97,
+ 0xAC64, 0x9F13,
+ 0xACFD, 0x9E90,
+ 0xAD96, 0x9E0E,
+ 0xAE31, 0x9D8E,
+ 0xAECC, 0x9D0D,
+ 0xAF68, 0x9C8E,
+ 0xB004, 0x9C10,
+ 0xB0A1, 0x9B93,
+ 0xB140, 0x9B17,
+ 0xB1DE, 0x9A9C,
+ 0xB27E, 0x9A22,
+ 0xB31E, 0x99A8,
+ 0xB3C0, 0x9930,
+ 0xB461, 0x98B9,
+ 0xB504, 0x9842,
+ 0xB5A7, 0x97CD,
+ 0xB64B, 0x9759,
+ 0xB6F0, 0x96E6,
+ 0xB796, 0x9673,
+ 0xB83C, 0x9602,
+ 0xB8E3, 0x9592,
+ 0xB98A, 0x9523,
+ 0xBA32, 0x94B5,
+ 0xBADB, 0x9447,
+ 0xBB85, 0x93DB,
+ 0xBC2F, 0x9370,
+ 0xBCDA, 0x9306,
+ 0xBD85, 0x929D,
+ 0xBE31, 0x9235,
+ 0xBEDE, 0x91CF,
+ 0xBF8C, 0x9169,
+ 0xC03A, 0x9104,
+ 0xC0E8, 0x90A0,
+ 0xC197, 0x903E,
+ 0xC247, 0x8FDC,
+ 0xC2F8, 0x8F7C,
+ 0xC3A9, 0x8F1D,
+ 0xC45A, 0x8EBE,
+ 0xC50D, 0x8E61,
+ 0xC5BF, 0x8E05,
+ 0xC673, 0x8DAA,
+ 0xC727, 0x8D50,
+ 0xC7DB, 0x8CF8,
+ 0xC890, 0x8CA0,
+ 0xC945, 0x8C4A,
+ 0xC9FB, 0x8BF4,
+ 0xCAB2, 0x8BA0,
+ 0xCB69, 0x8B4D,
+ 0xCC21, 0x8AFB,
+ 0xCCD9, 0x8AAA,
+ 0xCD91, 0x8A5A,
+ 0xCE4A, 0x8A0B,
+ 0xCF04, 0x89BE,
+ 0xCFBE, 0x8971,
+ 0xD078, 0x8926,
+ 0xD133, 0x88DC,
+ 0xD1EE, 0x8893,
+ 0xD2AA, 0x884B,
+ 0xD367, 0x8805,
+ 0xD423, 0x87BF,
+ 0xD4E0, 0x877B,
+ 0xD59E, 0x8738,
+ 0xD65C, 0x86F6,
+ 0xD71A, 0x86B5,
+ 0xD7D9, 0x8675,
+ 0xD898, 0x8637,
+ 0xD957, 0x85FA,
+ 0xDA17, 0x85BD,
+ 0xDAD7, 0x8582,
+ 0xDB98, 0x8549,
+ 0xDC59, 0x8510,
+ 0xDD1A, 0x84D9,
+ 0xDDDC, 0x84A2,
+ 0xDE9E, 0x846D,
+ 0xDF60, 0x843A,
+ 0xE023, 0x8407,
+ 0xE0E6, 0x83D6,
+ 0xE1A9, 0x83A5,
+ 0xE26C, 0x8376,
+ 0xE330, 0x8348,
+ 0xE3F4, 0x831C,
+ 0xE4B8, 0x82F0,
+ 0xE57D, 0x82C6,
+ 0xE642, 0x829D,
+ 0xE707, 0x8275,
+ 0xE7CC, 0x824F,
+ 0xE892, 0x8229,
+ 0xE957, 0x8205,
+ 0xEA1D, 0x81E2,
+ 0xEAE4, 0x81C0,
+ 0xEBAA, 0x81A0,
+ 0xEC71, 0x8180,
+ 0xED37, 0x8162,
+ 0xEDFE, 0x8145,
+ 0xEEC6, 0x812A,
+ 0xEF8D, 0x810F,
+ 0xF054, 0x80F6,
+ 0xF11C, 0x80DE,
+ 0xF1E4, 0x80C7,
+ 0xF2AC, 0x80B2,
+ 0xF374, 0x809D,
+ 0xF43C, 0x808A,
+ 0xF504, 0x8078,
+ 0xF5CC, 0x8068,
+ 0xF695, 0x8058,
+ 0xF75D, 0x804A,
+ 0xF826, 0x803D,
+ 0xF8EF, 0x8031,
+ 0xF9B8, 0x8027,
+ 0xFA80, 0x801E,
+ 0xFB49, 0x8016,
+ 0xFC12, 0x800F,
+ 0xFCDB, 0x8009,
+ 0xFDA4, 0x8005,
+ 0xFE6D, 0x8002,
+ 0xFF36, 0x8000
+};
+
+/**
+* \par
+* Example code for q15 Twiddle factors Generation::
+* \par
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 2048 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to q15(Fixed point 1.15):
+* round(twiddleCoefq15(i) * pow(2, 15))
+*
+*/
+const q15_t twiddleCoef_2048_q15[3072] = {
+ 0x7FFF, 0x0000,
+ 0x7FFF, 0x0064,
+ 0x7FFF, 0x00C9,
+ 0x7FFE, 0x012D,
+ 0x7FFD, 0x0192,
+ 0x7FFC, 0x01F6,
+ 0x7FFA, 0x025B,
+ 0x7FF8, 0x02BF,
+ 0x7FF6, 0x0324,
+ 0x7FF3, 0x0388,
+ 0x7FF0, 0x03ED,
+ 0x7FED, 0x0451,
+ 0x7FE9, 0x04B6,
+ 0x7FE5, 0x051A,
+ 0x7FE1, 0x057F,
+ 0x7FDD, 0x05E3,
+ 0x7FD8, 0x0647,
+ 0x7FD3, 0x06AC,
+ 0x7FCE, 0x0710,
+ 0x7FC8, 0x0775,
+ 0x7FC2, 0x07D9,
+ 0x7FBC, 0x083D,
+ 0x7FB5, 0x08A2,
+ 0x7FAE, 0x0906,
+ 0x7FA7, 0x096A,
+ 0x7F9F, 0x09CE,
+ 0x7F97, 0x0A33,
+ 0x7F8F, 0x0A97,
+ 0x7F87, 0x0AFB,
+ 0x7F7E, 0x0B5F,
+ 0x7F75, 0x0BC3,
+ 0x7F6B, 0x0C27,
+ 0x7F62, 0x0C8B,
+ 0x7F58, 0x0CEF,
+ 0x7F4D, 0x0D53,
+ 0x7F43, 0x0DB7,
+ 0x7F38, 0x0E1B,
+ 0x7F2D, 0x0E7F,
+ 0x7F21, 0x0EE3,
+ 0x7F15, 0x0F47,
+ 0x7F09, 0x0FAB,
+ 0x7EFD, 0x100E,
+ 0x7EF0, 0x1072,
+ 0x7EE3, 0x10D6,
+ 0x7ED5, 0x1139,
+ 0x7EC8, 0x119D,
+ 0x7EBA, 0x1201,
+ 0x7EAB, 0x1264,
+ 0x7E9D, 0x12C8,
+ 0x7E8E, 0x132B,
+ 0x7E7F, 0x138E,
+ 0x7E6F, 0x13F2,
+ 0x7E5F, 0x1455,
+ 0x7E4F, 0x14B8,
+ 0x7E3F, 0x151B,
+ 0x7E2E, 0x157F,
+ 0x7E1D, 0x15E2,
+ 0x7E0C, 0x1645,
+ 0x7DFA, 0x16A8,
+ 0x7DE8, 0x170A,
+ 0x7DD6, 0x176D,
+ 0x7DC3, 0x17D0,
+ 0x7DB0, 0x1833,
+ 0x7D9D, 0x1896,
+ 0x7D8A, 0x18F8,
+ 0x7D76, 0x195B,
+ 0x7D62, 0x19BD,
+ 0x7D4E, 0x1A20,
+ 0x7D39, 0x1A82,
+ 0x7D24, 0x1AE4,
+ 0x7D0F, 0x1B47,
+ 0x7CF9, 0x1BA9,
+ 0x7CE3, 0x1C0B,
+ 0x7CCD, 0x1C6D,
+ 0x7CB7, 0x1CCF,
+ 0x7CA0, 0x1D31,
+ 0x7C89, 0x1D93,
+ 0x7C71, 0x1DF5,
+ 0x7C5A, 0x1E56,
+ 0x7C42, 0x1EB8,
+ 0x7C29, 0x1F19,
+ 0x7C11, 0x1F7B,
+ 0x7BF8, 0x1FDC,
+ 0x7BDF, 0x203E,
+ 0x7BC5, 0x209F,
+ 0x7BAC, 0x2100,
+ 0x7B92, 0x2161,
+ 0x7B77, 0x21C2,
+ 0x7B5D, 0x2223,
+ 0x7B42, 0x2284,
+ 0x7B26, 0x22E5,
+ 0x7B0B, 0x2345,
+ 0x7AEF, 0x23A6,
+ 0x7AD3, 0x2407,
+ 0x7AB6, 0x2467,
+ 0x7A9A, 0x24C7,
+ 0x7A7D, 0x2528,
+ 0x7A5F, 0x2588,
+ 0x7A42, 0x25E8,
+ 0x7A24, 0x2648,
+ 0x7A05, 0x26A8,
+ 0x79E7, 0x2707,
+ 0x79C8, 0x2767,
+ 0x79A9, 0x27C7,
+ 0x798A, 0x2826,
+ 0x796A, 0x2886,
+ 0x794A, 0x28E5,
+ 0x792A, 0x2944,
+ 0x7909, 0x29A3,
+ 0x78E8, 0x2A02,
+ 0x78C7, 0x2A61,
+ 0x78A6, 0x2AC0,
+ 0x7884, 0x2B1F,
+ 0x7862, 0x2B7D,
+ 0x7840, 0x2BDC,
+ 0x781D, 0x2C3A,
+ 0x77FA, 0x2C98,
+ 0x77D7, 0x2CF7,
+ 0x77B4, 0x2D55,
+ 0x7790, 0x2DB3,
+ 0x776C, 0x2E11,
+ 0x7747, 0x2E6E,
+ 0x7723, 0x2ECC,
+ 0x76FE, 0x2F29,
+ 0x76D9, 0x2F87,
+ 0x76B3, 0x2FE4,
+ 0x768E, 0x3041,
+ 0x7668, 0x309E,
+ 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,
+ 0x0A97, 0x7F8F,
+ 0x0A33, 0x7F97,
+ 0x09CE, 0x7F9F,
+ 0x096A, 0x7FA7,
+ 0x0906, 0x7FAE,
+ 0x08A2, 0x7FB5,
+ 0x083D, 0x7FBC,
+ 0x07D9, 0x7FC2,
+ 0x0775, 0x7FC8,
+ 0x0710, 0x7FCE,
+ 0x06AC, 0x7FD3,
+ 0x0647, 0x7FD8,
+ 0x05E3, 0x7FDD,
+ 0x057F, 0x7FE1,
+ 0x051A, 0x7FE5,
+ 0x04B6, 0x7FE9,
+ 0x0451, 0x7FED,
+ 0x03ED, 0x7FF0,
+ 0x0388, 0x7FF3,
+ 0x0324, 0x7FF6,
+ 0x02BF, 0x7FF8,
+ 0x025B, 0x7FFA,
+ 0x01F6, 0x7FFC,
+ 0x0192, 0x7FFD,
+ 0x012D, 0x7FFE,
+ 0x00C9, 0x7FFF,
+ 0x0064, 0x7FFF,
+ 0x0000, 0x7FFF,
+ 0xFF9B, 0x7FFF,
+ 0xFF36, 0x7FFF,
+ 0xFED2, 0x7FFE,
+ 0xFE6D, 0x7FFD,
+ 0xFE09, 0x7FFC,
+ 0xFDA4, 0x7FFA,
+ 0xFD40, 0x7FF8,
+ 0xFCDB, 0x7FF6,
+ 0xFC77, 0x7FF3,
+ 0xFC12, 0x7FF0,
+ 0xFBAE, 0x7FED,
+ 0xFB49, 0x7FE9,
+ 0xFAE5, 0x7FE5,
+ 0xFA80, 0x7FE1,
+ 0xFA1C, 0x7FDD,
+ 0xF9B8, 0x7FD8,
+ 0xF953, 0x7FD3,
+ 0xF8EF, 0x7FCE,
+ 0xF88A, 0x7FC8,
+ 0xF826, 0x7FC2,
+ 0xF7C2, 0x7FBC,
+ 0xF75D, 0x7FB5,
+ 0xF6F9, 0x7FAE,
+ 0xF695, 0x7FA7,
+ 0xF631, 0x7F9F,
+ 0xF5CC, 0x7F97,
+ 0xF568, 0x7F8F,
+ 0xF504, 0x7F87,
+ 0xF4A0, 0x7F7E,
+ 0xF43C, 0x7F75,
+ 0xF3D8, 0x7F6B,
+ 0xF374, 0x7F62,
+ 0xF310, 0x7F58,
+ 0xF2AC, 0x7F4D,
+ 0xF248, 0x7F43,
+ 0xF1E4, 0x7F38,
+ 0xF180, 0x7F2D,
+ 0xF11C, 0x7F21,
+ 0xF0B8, 0x7F15,
+ 0xF054, 0x7F09,
+ 0xEFF1, 0x7EFD,
+ 0xEF8D, 0x7EF0,
+ 0xEF29, 0x7EE3,
+ 0xEEC6, 0x7ED5,
+ 0xEE62, 0x7EC8,
+ 0xEDFE, 0x7EBA,
+ 0xED9B, 0x7EAB,
+ 0xED37, 0x7E9D,
+ 0xECD4, 0x7E8E,
+ 0xEC71, 0x7E7F,
+ 0xEC0D, 0x7E6F,
+ 0xEBAA, 0x7E5F,
+ 0xEB47, 0x7E4F,
+ 0xEAE4, 0x7E3F,
+ 0xEA80, 0x7E2E,
+ 0xEA1D, 0x7E1D,
+ 0xE9BA, 0x7E0C,
+ 0xE957, 0x7DFA,
+ 0xE8F5, 0x7DE8,
+ 0xE892, 0x7DD6,
+ 0xE82F, 0x7DC3,
+ 0xE7CC, 0x7DB0,
+ 0xE769, 0x7D9D,
+ 0xE707, 0x7D8A,
+ 0xE6A4, 0x7D76,
+ 0xE642, 0x7D62,
+ 0xE5DF, 0x7D4E,
+ 0xE57D, 0x7D39,
+ 0xE51B, 0x7D24,
+ 0xE4B8, 0x7D0F,
+ 0xE456, 0x7CF9,
+ 0xE3F4, 0x7CE3,
+ 0xE392, 0x7CCD,
+ 0xE330, 0x7CB7,
+ 0xE2CE, 0x7CA0,
+ 0xE26C, 0x7C89,
+ 0xE20A, 0x7C71,
+ 0xE1A9, 0x7C5A,
+ 0xE147, 0x7C42,
+ 0xE0E6, 0x7C29,
+ 0xE084, 0x7C11,
+ 0xE023, 0x7BF8,
+ 0xDFC1, 0x7BDF,
+ 0xDF60, 0x7BC5,
+ 0xDEFF, 0x7BAC,
+ 0xDE9E, 0x7B92,
+ 0xDE3D, 0x7B77,
+ 0xDDDC, 0x7B5D,
+ 0xDD7B, 0x7B42,
+ 0xDD1A, 0x7B26,
+ 0xDCBA, 0x7B0B,
+ 0xDC59, 0x7AEF,
+ 0xDBF8, 0x7AD3,
+ 0xDB98, 0x7AB6,
+ 0xDB38, 0x7A9A,
+ 0xDAD7, 0x7A7D,
+ 0xDA77, 0x7A5F,
+ 0xDA17, 0x7A42,
+ 0xD9B7, 0x7A24,
+ 0xD957, 0x7A05,
+ 0xD8F8, 0x79E7,
+ 0xD898, 0x79C8,
+ 0xD838, 0x79A9,
+ 0xD7D9, 0x798A,
+ 0xD779, 0x796A,
+ 0xD71A, 0x794A,
+ 0xD6BB, 0x792A,
+ 0xD65C, 0x7909,
+ 0xD5FD, 0x78E8,
+ 0xD59E, 0x78C7,
+ 0xD53F, 0x78A6,
+ 0xD4E0, 0x7884,
+ 0xD482, 0x7862,
+ 0xD423, 0x7840,
+ 0xD3C5, 0x781D,
+ 0xD367, 0x77FA,
+ 0xD308, 0x77D7,
+ 0xD2AA, 0x77B4,
+ 0xD24C, 0x7790,
+ 0xD1EE, 0x776C,
+ 0xD191, 0x7747,
+ 0xD133, 0x7723,
+ 0xD0D6, 0x76FE,
+ 0xD078, 0x76D9,
+ 0xD01B, 0x76B3,
+ 0xCFBE, 0x768E,
+ 0xCF61, 0x7668,
+ 0xCF04, 0x7641,
+ 0xCEA7, 0x761B,
+ 0xCE4A, 0x75F4,
+ 0xCDEE, 0x75CC,
+ 0xCD91, 0x75A5,
+ 0xCD35, 0x757D,
+ 0xCCD9, 0x7555,
+ 0xCC7D, 0x752D,
+ 0xCC21, 0x7504,
+ 0xCBC5, 0x74DB,
+ 0xCB69, 0x74B2,
+ 0xCB0D, 0x7489,
+ 0xCAB2, 0x745F,
+ 0xCA57, 0x7435,
+ 0xC9FB, 0x740B,
+ 0xC9A0, 0x73E0,
+ 0xC945, 0x73B5,
+ 0xC8EB, 0x738A,
+ 0xC890, 0x735F,
+ 0xC835, 0x7333,
+ 0xC7DB, 0x7307,
+ 0xC781, 0x72DB,
+ 0xC727, 0x72AF,
+ 0xC6CD, 0x7282,
+ 0xC673, 0x7255,
+ 0xC619, 0x7227,
+ 0xC5BF, 0x71FA,
+ 0xC566, 0x71CC,
+ 0xC50D, 0x719E,
+ 0xC4B3, 0x716F,
+ 0xC45A, 0x7141,
+ 0xC402, 0x7112,
+ 0xC3A9, 0x70E2,
+ 0xC350, 0x70B3,
+ 0xC2F8, 0x7083,
+ 0xC29F, 0x7053,
+ 0xC247, 0x7023,
+ 0xC1EF, 0x6FF2,
+ 0xC197, 0x6FC1,
+ 0xC140, 0x6F90,
+ 0xC0E8, 0x6F5F,
+ 0xC091, 0x6F2D,
+ 0xC03A, 0x6EFB,
+ 0xBFE2, 0x6EC9,
+ 0xBF8C, 0x6E96,
+ 0xBF35, 0x6E63,
+ 0xBEDE, 0x6E30,
+ 0xBE88, 0x6DFD,
+ 0xBE31, 0x6DCA,
+ 0xBDDB, 0x6D96,
+ 0xBD85, 0x6D62,
+ 0xBD2F, 0x6D2D,
+ 0xBCDA, 0x6CF9,
+ 0xBC84, 0x6CC4,
+ 0xBC2F, 0x6C8F,
+ 0xBBDA, 0x6C59,
+ 0xBB85, 0x6C24,
+ 0xBB30, 0x6BEE,
+ 0xBADB, 0x6BB8,
+ 0xBA87, 0x6B81,
+ 0xBA32, 0x6B4A,
+ 0xB9DE, 0x6B13,
+ 0xB98A, 0x6ADC,
+ 0xB936, 0x6AA5,
+ 0xB8E3, 0x6A6D,
+ 0xB88F, 0x6A35,
+ 0xB83C, 0x69FD,
+ 0xB7E9, 0x69C4,
+ 0xB796, 0x698C,
+ 0xB743, 0x6953,
+ 0xB6F0, 0x6919,
+ 0xB69E, 0x68E0,
+ 0xB64B, 0x68A6,
+ 0xB5F9, 0x686C,
+ 0xB5A7, 0x6832,
+ 0xB556, 0x67F7,
+ 0xB504, 0x67BD,
+ 0xB4B3, 0x6782,
+ 0xB461, 0x6746,
+ 0xB410, 0x670B,
+ 0xB3C0, 0x66CF,
+ 0xB36F, 0x6693,
+ 0xB31E, 0x6657,
+ 0xB2CE, 0x661A,
+ 0xB27E, 0x65DD,
+ 0xB22E, 0x65A0,
+ 0xB1DE, 0x6563,
+ 0xB18F, 0x6526,
+ 0xB140, 0x64E8,
+ 0xB0F0, 0x64AA,
+ 0xB0A1, 0x646C,
+ 0xB053, 0x642D,
+ 0xB004, 0x63EF,
+ 0xAFB6, 0x63B0,
+ 0xAF68, 0x6371,
+ 0xAF1A, 0x6331,
+ 0xAECC, 0x62F2,
+ 0xAE7E, 0x62B2,
+ 0xAE31, 0x6271,
+ 0xADE3, 0x6231,
+ 0xAD96, 0x61F1,
+ 0xAD4A, 0x61B0,
+ 0xACFD, 0x616F,
+ 0xACB1, 0x612D,
+ 0xAC64, 0x60EC,
+ 0xAC18, 0x60AA,
+ 0xABCC, 0x6068,
+ 0xAB81, 0x6026,
+ 0xAB35, 0x5FE3,
+ 0xAAEA, 0x5FA0,
+ 0xAA9F, 0x5F5E,
+ 0xAA54, 0x5F1A,
+ 0xAA0A, 0x5ED7,
+ 0xA9BF, 0x5E93,
+ 0xA975, 0x5E50,
+ 0xA92B, 0x5E0B,
+ 0xA8E2, 0x5DC7,
+ 0xA898, 0x5D83,
+ 0xA84F, 0x5D3E,
+ 0xA806, 0x5CF9,
+ 0xA7BD, 0x5CB4,
+ 0xA774, 0x5C6E,
+ 0xA72B, 0x5C29,
+ 0xA6E3, 0x5BE3,
+ 0xA69B, 0x5B9D,
+ 0xA653, 0x5B56,
+ 0xA60C, 0x5B10,
+ 0xA5C4, 0x5AC9,
+ 0xA57D, 0x5A82,
+ 0xA536, 0x5A3B,
+ 0xA4EF, 0x59F3,
+ 0xA4A9, 0x59AC,
+ 0xA462, 0x5964,
+ 0xA41C, 0x591C,
+ 0xA3D6, 0x58D4,
+ 0xA391, 0x588B,
+ 0xA34B, 0x5842,
+ 0xA306, 0x57F9,
+ 0xA2C1, 0x57B0,
+ 0xA27C, 0x5767,
+ 0xA238, 0x571D,
+ 0xA1F4, 0x56D4,
+ 0xA1AF, 0x568A,
+ 0xA16C, 0x5640,
+ 0xA128, 0x55F5,
+ 0xA0E5, 0x55AB,
+ 0xA0A1, 0x5560,
+ 0xA05F, 0x5515,
+ 0xA01C, 0x54CA,
+ 0x9FD9, 0x547E,
+ 0x9F97, 0x5433,
+ 0x9F55, 0x53E7,
+ 0x9F13, 0x539B,
+ 0x9ED2, 0x534E,
+ 0x9E90, 0x5302,
+ 0x9E4F, 0x52B5,
+ 0x9E0E, 0x5269,
+ 0x9DCE, 0x521C,
+ 0x9D8E, 0x51CE,
+ 0x9D4D, 0x5181,
+ 0x9D0D, 0x5133,
+ 0x9CCE, 0x50E5,
+ 0x9C8E, 0x5097,
+ 0x9C4F, 0x5049,
+ 0x9C10, 0x4FFB,
+ 0x9BD2, 0x4FAC,
+ 0x9B93, 0x4F5E,
+ 0x9B55, 0x4F0F,
+ 0x9B17, 0x4EBF,
+ 0x9AD9, 0x4E70,
+ 0x9A9C, 0x4E21,
+ 0x9A5F, 0x4DD1,
+ 0x9A22, 0x4D81,
+ 0x99E5, 0x4D31,
+ 0x99A8, 0x4CE1,
+ 0x996C, 0x4C90,
+ 0x9930, 0x4C3F,
+ 0x98F4, 0x4BEF,
+ 0x98B9, 0x4B9E,
+ 0x987D, 0x4B4C,
+ 0x9842, 0x4AFB,
+ 0x9808, 0x4AA9,
+ 0x97CD, 0x4A58,
+ 0x9793, 0x4A06,
+ 0x9759, 0x49B4,
+ 0x971F, 0x4961,
+ 0x96E6, 0x490F,
+ 0x96AC, 0x48BC,
+ 0x9673, 0x4869,
+ 0x963B, 0x4816,
+ 0x9602, 0x47C3,
+ 0x95CA, 0x4770,
+ 0x9592, 0x471C,
+ 0x955A, 0x46C9,
+ 0x9523, 0x4675,
+ 0x94EC, 0x4621,
+ 0x94B5, 0x45CD,
+ 0x947E, 0x4578,
+ 0x9447, 0x4524,
+ 0x9411, 0x44CF,
+ 0x93DB, 0x447A,
+ 0x93A6, 0x4425,
+ 0x9370, 0x43D0,
+ 0x933B, 0x437B,
+ 0x9306, 0x4325,
+ 0x92D2, 0x42D0,
+ 0x929D, 0x427A,
+ 0x9269, 0x4224,
+ 0x9235, 0x41CE,
+ 0x9202, 0x4177,
+ 0x91CF, 0x4121,
+ 0x919C, 0x40CA,
+ 0x9169, 0x4073,
+ 0x9136, 0x401D,
+ 0x9104, 0x3FC5,
+ 0x90D2, 0x3F6E,
+ 0x90A0, 0x3F17,
+ 0x906F, 0x3EBF,
+ 0x903E, 0x3E68,
+ 0x900D, 0x3E10,
+ 0x8FDC, 0x3DB8,
+ 0x8FAC, 0x3D60,
+ 0x8F7C, 0x3D07,
+ 0x8F4C, 0x3CAF,
+ 0x8F1D, 0x3C56,
+ 0x8EED, 0x3BFD,
+ 0x8EBE, 0x3BA5,
+ 0x8E90, 0x3B4C,
+ 0x8E61, 0x3AF2,
+ 0x8E33, 0x3A99,
+ 0x8E05, 0x3A40,
+ 0x8DD8, 0x39E6,
+ 0x8DAA, 0x398C,
+ 0x8D7D, 0x3932,
+ 0x8D50, 0x38D8,
+ 0x8D24, 0x387E,
+ 0x8CF8, 0x3824,
+ 0x8CCC, 0x37CA,
+ 0x8CA0, 0x376F,
+ 0x8C75, 0x3714,
+ 0x8C4A, 0x36BA,
+ 0x8C1F, 0x365F,
+ 0x8BF4, 0x3604,
+ 0x8BCA, 0x35A8,
+ 0x8BA0, 0x354D,
+ 0x8B76, 0x34F2,
+ 0x8B4D, 0x3496,
+ 0x8B24, 0x343A,
+ 0x8AFB, 0x33DE,
+ 0x8AD2, 0x3382,
+ 0x8AAA, 0x3326,
+ 0x8A82, 0x32CA,
+ 0x8A5A, 0x326E,
+ 0x8A33, 0x3211,
+ 0x8A0B, 0x31B5,
+ 0x89E4, 0x3158,
+ 0x89BE, 0x30FB,
+ 0x8997, 0x309E,
+ 0x8971, 0x3041,
+ 0x894C, 0x2FE4,
+ 0x8926, 0x2F87,
+ 0x8901, 0x2F29,
+ 0x88DC, 0x2ECC,
+ 0x88B8, 0x2E6E,
+ 0x8893, 0x2E11,
+ 0x886F, 0x2DB3,
+ 0x884B, 0x2D55,
+ 0x8828, 0x2CF7,
+ 0x8805, 0x2C98,
+ 0x87E2, 0x2C3A,
+ 0x87BF, 0x2BDC,
+ 0x879D, 0x2B7D,
+ 0x877B, 0x2B1F,
+ 0x8759, 0x2AC0,
+ 0x8738, 0x2A61,
+ 0x8717, 0x2A02,
+ 0x86F6, 0x29A3,
+ 0x86D5, 0x2944,
+ 0x86B5, 0x28E5,
+ 0x8695, 0x2886,
+ 0x8675, 0x2826,
+ 0x8656, 0x27C7,
+ 0x8637, 0x2767,
+ 0x8618, 0x2707,
+ 0x85FA, 0x26A8,
+ 0x85DB, 0x2648,
+ 0x85BD, 0x25E8,
+ 0x85A0, 0x2588,
+ 0x8582, 0x2528,
+ 0x8565, 0x24C7,
+ 0x8549, 0x2467,
+ 0x852C, 0x2407,
+ 0x8510, 0x23A6,
+ 0x84F4, 0x2345,
+ 0x84D9, 0x22E5,
+ 0x84BD, 0x2284,
+ 0x84A2, 0x2223,
+ 0x8488, 0x21C2,
+ 0x846D, 0x2161,
+ 0x8453, 0x2100,
+ 0x843A, 0x209F,
+ 0x8420, 0x203E,
+ 0x8407, 0x1FDC,
+ 0x83EE, 0x1F7B,
+ 0x83D6, 0x1F19,
+ 0x83BD, 0x1EB8,
+ 0x83A5, 0x1E56,
+ 0x838E, 0x1DF5,
+ 0x8376, 0x1D93,
+ 0x835F, 0x1D31,
+ 0x8348, 0x1CCF,
+ 0x8332, 0x1C6D,
+ 0x831C, 0x1C0B,
+ 0x8306, 0x1BA9,
+ 0x82F0, 0x1B47,
+ 0x82DB, 0x1AE4,
+ 0x82C6, 0x1A82,
+ 0x82B1, 0x1A20,
+ 0x829D, 0x19BD,
+ 0x8289, 0x195B,
+ 0x8275, 0x18F8,
+ 0x8262, 0x1896,
+ 0x824F, 0x1833,
+ 0x823C, 0x17D0,
+ 0x8229, 0x176D,
+ 0x8217, 0x170A,
+ 0x8205, 0x16A8,
+ 0x81F3, 0x1645,
+ 0x81E2, 0x15E2,
+ 0x81D1, 0x157F,
+ 0x81C0, 0x151B,
+ 0x81B0, 0x14B8,
+ 0x81A0, 0x1455,
+ 0x8190, 0x13F2,
+ 0x8180, 0x138E,
+ 0x8171, 0x132B,
+ 0x8162, 0x12C8,
+ 0x8154, 0x1264,
+ 0x8145, 0x1201,
+ 0x8137, 0x119D,
+ 0x812A, 0x1139,
+ 0x811C, 0x10D6,
+ 0x810F, 0x1072,
+ 0x8102, 0x100E,
+ 0x80F6, 0x0FAB,
+ 0x80EA, 0x0F47,
+ 0x80DE, 0x0EE3,
+ 0x80D2, 0x0E7F,
+ 0x80C7, 0x0E1B,
+ 0x80BC, 0x0DB7,
+ 0x80B2, 0x0D53,
+ 0x80A7, 0x0CEF,
+ 0x809D, 0x0C8B,
+ 0x8094, 0x0C27,
+ 0x808A, 0x0BC3,
+ 0x8081, 0x0B5F,
+ 0x8078, 0x0AFB,
+ 0x8070, 0x0A97,
+ 0x8068, 0x0A33,
+ 0x8060, 0x09CE,
+ 0x8058, 0x096A,
+ 0x8051, 0x0906,
+ 0x804A, 0x08A2,
+ 0x8043, 0x083D,
+ 0x803D, 0x07D9,
+ 0x8037, 0x0775,
+ 0x8031, 0x0710,
+ 0x802C, 0x06AC,
+ 0x8027, 0x0647,
+ 0x8022, 0x05E3,
+ 0x801E, 0x057F,
+ 0x801A, 0x051A,
+ 0x8016, 0x04B6,
+ 0x8012, 0x0451,
+ 0x800F, 0x03ED,
+ 0x800C, 0x0388,
+ 0x8009, 0x0324,
+ 0x8007, 0x02BF,
+ 0x8005, 0x025B,
+ 0x8003, 0x01F6,
+ 0x8002, 0x0192,
+ 0x8001, 0x012D,
+ 0x8000, 0x00C9,
+ 0x8000, 0x0064,
+ 0x8000, 0x0000,
+ 0x8000, 0xFF9B,
+ 0x8000, 0xFF36,
+ 0x8001, 0xFED2,
+ 0x8002, 0xFE6D,
+ 0x8003, 0xFE09,
+ 0x8005, 0xFDA4,
+ 0x8007, 0xFD40,
+ 0x8009, 0xFCDB,
+ 0x800C, 0xFC77,
+ 0x800F, 0xFC12,
+ 0x8012, 0xFBAE,
+ 0x8016, 0xFB49,
+ 0x801A, 0xFAE5,
+ 0x801E, 0xFA80,
+ 0x8022, 0xFA1C,
+ 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
+* <pre>for(i = 0; i< 3N/4; i++)
+* {
+* twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } </pre>
+* \par
+* where N = 4096 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are interleaved fashion
+* \par
+* Convert Floating point to q15(Fixed point 1.15):
+* round(twiddleCoefq15(i) * pow(2, 15))
+*
+*/
+const q15_t twiddleCoef_4096_q15[6144] =
+{
+ 0x7FFF, 0x0000,
+ 0x7FFF, 0x0032,
+ 0x7FFF, 0x0064,
+ 0x7FFF, 0x0096,
+ 0x7FFF, 0x00C9,
+ 0x7FFF, 0x00FB,
+ 0x7FFE, 0x012D,
+ 0x7FFE, 0x015F,
+ 0x7FFD, 0x0192,
+ 0x7FFC, 0x01C4,
+ 0x7FFC, 0x01F6,
+ 0x7FFB, 0x0228,
+ 0x7FFA, 0x025B,
+ 0x7FF9, 0x028D,
+ 0x7FF8, 0x02BF,
+ 0x7FF7, 0x02F1,
+ 0x7FF6, 0x0324,
+ 0x7FF4, 0x0356,
+ 0x7FF3, 0x0388,
+ 0x7FF2, 0x03BA,
+ 0x7FF0, 0x03ED,
+ 0x7FEE, 0x041F,
+ 0x7FED, 0x0451,
+ 0x7FEB, 0x0483,
+ 0x7FE9, 0x04B6,
+ 0x7FE7, 0x04E8,
+ 0x7FE5, 0x051A,
+ 0x7FE3, 0x054C,
+ 0x7FE1, 0x057F,
+ 0x7FDF, 0x05B1,
+ 0x7FDD, 0x05E3,
+ 0x7FDA, 0x0615,
+ 0x7FD8, 0x0647,
+ 0x7FD6, 0x067A,
+ 0x7FD3, 0x06AC,
+ 0x7FD0, 0x06DE,
+ 0x7FCE, 0x0710,
+ 0x7FCB, 0x0742,
+ 0x7FC8, 0x0775,
+ 0x7FC5, 0x07A7,
+ 0x7FC2, 0x07D9,
+ 0x7FBF, 0x080B,
+ 0x7FBC, 0x083D,
+ 0x7FB8, 0x086F,
+ 0x7FB5, 0x08A2,
+ 0x7FB1, 0x08D4,
+ 0x7FAE, 0x0906,
+ 0x7FAA, 0x0938,
+ 0x7FA7, 0x096A,
+ 0x7FA3, 0x099C,
+ 0x7F9F, 0x09CE,
+ 0x7F9B, 0x0A00,
+ 0x7F97, 0x0A33,
+ 0x7F93, 0x0A65,
+ 0x7F8F, 0x0A97,
+ 0x7F8B, 0x0AC9,
+ 0x7F87, 0x0AFB,
+ 0x7F82, 0x0B2D,
+ 0x7F7E, 0x0B5F,
+ 0x7F79, 0x0B91,
+ 0x7F75, 0x0BC3,
+ 0x7F70, 0x0BF5,
+ 0x7F6B, 0x0C27,
+ 0x7F67, 0x0C59,
+ 0x7F62, 0x0C8B,
+ 0x7F5D, 0x0CBD,
+ 0x7F58, 0x0CEF,
+ 0x7F53, 0x0D21,
+ 0x7F4D, 0x0D53,
+ 0x7F48, 0x0D85,
+ 0x7F43, 0x0DB7,
+ 0x7F3D, 0x0DE9,
+ 0x7F38, 0x0E1B,
+ 0x7F32, 0x0E4D,
+ 0x7F2D, 0x0E7F,
+ 0x7F27, 0x0EB1,
+ 0x7F21, 0x0EE3,
+ 0x7F1B, 0x0F15,
+ 0x7F15, 0x0F47,
+ 0x7F0F, 0x0F79,
+ 0x7F09, 0x0FAB,
+ 0x7F03, 0x0FDD,
+ 0x7EFD, 0x100E,
+ 0x7EF6, 0x1040,
+ 0x7EF0, 0x1072,
+ 0x7EE9, 0x10A4,
+ 0x7EE3, 0x10D6,
+ 0x7EDC, 0x1108,
+ 0x7ED5, 0x1139,
+ 0x7ECF, 0x116B,
+ 0x7EC8, 0x119D,
+ 0x7EC1, 0x11CF,
+ 0x7EBA, 0x1201,
+ 0x7EB3, 0x1232,
+ 0x7EAB, 0x1264,
+ 0x7EA4, 0x1296,
+ 0x7E9D, 0x12C8,
+ 0x7E95, 0x12F9,
+ 0x7E8E, 0x132B,
+ 0x7E86, 0x135D,
+ 0x7E7F, 0x138E,
+ 0x7E77, 0x13C0,
+ 0x7E6F, 0x13F2,
+ 0x7E67, 0x1423,
+ 0x7E5F, 0x1455,
+ 0x7E57, 0x1487,
+ 0x7E4F, 0x14B8,
+ 0x7E47, 0x14EA,
+ 0x7E3F, 0x151B,
+ 0x7E37, 0x154D,
+ 0x7E2E, 0x157F,
+ 0x7E26, 0x15B0,
+ 0x7E1D, 0x15E2,
+ 0x7E14, 0x1613,
+ 0x7E0C, 0x1645,
+ 0x7E03, 0x1676,
+ 0x7DFA, 0x16A8,
+ 0x7DF1, 0x16D9,
+ 0x7DE8, 0x170A,
+ 0x7DDF, 0x173C,
+ 0x7DD6, 0x176D,
+ 0x7DCD, 0x179F,
+ 0x7DC3, 0x17D0,
+ 0x7DBA, 0x1802,
+ 0x7DB0, 0x1833,
+ 0x7DA7, 0x1864,
+ 0x7D9D, 0x1896,
+ 0x7D94, 0x18C7,
+ 0x7D8A, 0x18F8,
+ 0x7D80, 0x192A,
+ 0x7D76, 0x195B,
+ 0x7D6C, 0x198C,
+ 0x7D62, 0x19BD,
+ 0x7D58, 0x19EF,
+ 0x7D4E, 0x1A20,
+ 0x7D43, 0x1A51,
+ 0x7D39, 0x1A82,
+ 0x7D2F, 0x1AB3,
+ 0x7D24, 0x1AE4,
+ 0x7D19, 0x1B16,
+ 0x7D0F, 0x1B47,
+ 0x7D04, 0x1B78,
+ 0x7CF9, 0x1BA9,
+ 0x7CEE, 0x1BDA,
+ 0x7CE3, 0x1C0B,
+ 0x7CD8, 0x1C3C,
+ 0x7CCD, 0x1C6D,
+ 0x7CC2, 0x1C9E,
+ 0x7CB7, 0x1CCF,
+ 0x7CAB, 0x1D00,
+ 0x7CA0, 0x1D31,
+ 0x7C94, 0x1D62,
+ 0x7C89, 0x1D93,
+ 0x7C7D, 0x1DC4,
+ 0x7C71, 0x1DF5,
+ 0x7C66, 0x1E25,
+ 0x7C5A, 0x1E56,
+ 0x7C4E, 0x1E87,
+ 0x7C42, 0x1EB8,
+ 0x7C36, 0x1EE9,
+ 0x7C29, 0x1F19,
+ 0x7C1D, 0x1F4A,
+ 0x7C11, 0x1F7B,
+ 0x7C05, 0x1FAC,
+ 0x7BF8, 0x1FDC,
+ 0x7BEB, 0x200D,
+ 0x7BDF, 0x203E,
+ 0x7BD2, 0x206E,
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+ 0x35D6, 0x7420,
+ 0x35A8, 0x7435,
+ 0x357B, 0x744A,
+ 0x354D, 0x745F,
+ 0x351F, 0x7474,
+ 0x34F2, 0x7489,
+ 0x34C4, 0x749E,
+ 0x3496, 0x74B2,
+ 0x3468, 0x74C7,
+ 0x343A, 0x74DB,
+ 0x340C, 0x74F0,
+ 0x33DE, 0x7504,
+ 0x33B0, 0x7519,
+ 0x3382, 0x752D,
+ 0x3354, 0x7541,
+ 0x3326, 0x7555,
+ 0x32F8, 0x7569,
+ 0x32CA, 0x757D,
+ 0x329C, 0x7591,
+ 0x326E, 0x75A5,
+ 0x3240, 0x75B9,
+ 0x3211, 0x75CC,
+ 0x31E3, 0x75E0,
+ 0x31B5, 0x75F4,
+ 0x3186, 0x7607,
+ 0x3158, 0x761B,
+ 0x312A, 0x762E,
+ 0x30FB, 0x7641,
+ 0x30CD, 0x7654,
+ 0x309E, 0x7668,
+ 0x3070, 0x767B,
+ 0x3041, 0x768E,
+ 0x3013, 0x76A0,
+ 0x2FE4, 0x76B3,
+ 0x2FB5, 0x76C6,
+ 0x2F87, 0x76D9,
+ 0x2F58, 0x76EB,
+ 0x2F29, 0x76FE,
+ 0x2EFB, 0x7710,
+ 0x2ECC, 0x7723,
+ 0x2E9D, 0x7735,
+ 0x2E6E, 0x7747,
+ 0x2E3F, 0x775A,
+ 0x2E11, 0x776C,
+ 0x2DE2, 0x777E,
+ 0x2DB3, 0x7790,
+ 0x2D84, 0x77A2,
+ 0x2D55, 0x77B4,
+ 0x2D26, 0x77C5,
+ 0x2CF7, 0x77D7,
+ 0x2CC8, 0x77E9,
+ 0x2C98, 0x77FA,
+ 0x2C69, 0x780C,
+ 0x2C3A, 0x781D,
+ 0x2C0B, 0x782E,
+ 0x2BDC, 0x7840,
+ 0x2BAD, 0x7851,
+ 0x2B7D, 0x7862,
+ 0x2B4E, 0x7873,
+ 0x2B1F, 0x7884,
+ 0x2AEF, 0x7895,
+ 0x2AC0, 0x78A6,
+ 0x2A91, 0x78B6,
+ 0x2A61, 0x78C7,
+ 0x2A32, 0x78D8,
+ 0x2A02, 0x78E8,
+ 0x29D3, 0x78F9,
+ 0x29A3, 0x7909,
+ 0x2974, 0x7919,
+ 0x2944, 0x792A,
+ 0x2915, 0x793A,
+ 0x28E5, 0x794A,
+ 0x28B5, 0x795A,
+ 0x2886, 0x796A,
+ 0x2856, 0x797A,
+ 0x2826, 0x798A,
+ 0x27F6, 0x7999,
+ 0x27C7, 0x79A9,
+ 0x2797, 0x79B9,
+ 0x2767, 0x79C8,
+ 0x2737, 0x79D8,
+ 0x2707, 0x79E7,
+ 0x26D8, 0x79F6,
+ 0x26A8, 0x7A05,
+ 0x2678, 0x7A15,
+ 0x2648, 0x7A24,
+ 0x2618, 0x7A33,
+ 0x25E8, 0x7A42,
+ 0x25B8, 0x7A50,
+ 0x2588, 0x7A5F,
+ 0x2558, 0x7A6E,
+ 0x2528, 0x7A7D,
+ 0x24F7, 0x7A8B,
+ 0x24C7, 0x7A9A,
+ 0x2497, 0x7AA8,
+ 0x2467, 0x7AB6,
+ 0x2437, 0x7AC5,
+ 0x2407, 0x7AD3,
+ 0x23D6, 0x7AE1,
+ 0x23A6, 0x7AEF,
+ 0x2376, 0x7AFD,
+ 0x2345, 0x7B0B,
+ 0x2315, 0x7B19,
+ 0x22E5, 0x7B26,
+ 0x22B4, 0x7B34,
+ 0x2284, 0x7B42,
+ 0x2254, 0x7B4F,
+ 0x2223, 0x7B5D,
+ 0x21F3, 0x7B6A,
+ 0x21C2, 0x7B77,
+ 0x2192, 0x7B84,
+ 0x2161, 0x7B92,
+ 0x2131, 0x7B9F,
+ 0x2100, 0x7BAC,
+ 0x20D0, 0x7BB9,
+ 0x209F, 0x7BC5,
+ 0x206E, 0x7BD2,
+ 0x203E, 0x7BDF,
+ 0x200D, 0x7BEB,
+ 0x1FDC, 0x7BF8,
+ 0x1FAC, 0x7C05,
+ 0x1F7B, 0x7C11,
+ 0x1F4A, 0x7C1D,
+ 0x1F19, 0x7C29,
+ 0x1EE9, 0x7C36,
+ 0x1EB8, 0x7C42,
+ 0x1E87, 0x7C4E,
+ 0x1E56, 0x7C5A,
+ 0x1E25, 0x7C66,
+ 0x1DF5, 0x7C71,
+ 0x1DC4, 0x7C7D,
+ 0x1D93, 0x7C89,
+ 0x1D62, 0x7C94,
+ 0x1D31, 0x7CA0,
+ 0x1D00, 0x7CAB,
+ 0x1CCF, 0x7CB7,
+ 0x1C9E, 0x7CC2,
+ 0x1C6D, 0x7CCD,
+ 0x1C3C, 0x7CD8,
+ 0x1C0B, 0x7CE3,
+ 0x1BDA, 0x7CEE,
+ 0x1BA9, 0x7CF9,
+ 0x1B78, 0x7D04,
+ 0x1B47, 0x7D0F,
+ 0x1B16, 0x7D19,
+ 0x1AE4, 0x7D24,
+ 0x1AB3, 0x7D2F,
+ 0x1A82, 0x7D39,
+ 0x1A51, 0x7D43,
+ 0x1A20, 0x7D4E,
+ 0x19EF, 0x7D58,
+ 0x19BD, 0x7D62,
+ 0x198C, 0x7D6C,
+ 0x195B, 0x7D76,
+ 0x192A, 0x7D80,
+ 0x18F8, 0x7D8A,
+ 0x18C7, 0x7D94,
+ 0x1896, 0x7D9D,
+ 0x1864, 0x7DA7,
+ 0x1833, 0x7DB0,
+ 0x1802, 0x7DBA,
+ 0x17D0, 0x7DC3,
+ 0x179F, 0x7DCD,
+ 0x176D, 0x7DD6,
+ 0x173C, 0x7DDF,
+ 0x170A, 0x7DE8,
+ 0x16D9, 0x7DF1,
+ 0x16A8, 0x7DFA,
+ 0x1676, 0x7E03,
+ 0x1645, 0x7E0C,
+ 0x1613, 0x7E14,
+ 0x15E2, 0x7E1D,
+ 0x15B0, 0x7E26,
+ 0x157F, 0x7E2E,
+ 0x154D, 0x7E37,
+ 0x151B, 0x7E3F,
+ 0x14EA, 0x7E47,
+ 0x14B8, 0x7E4F,
+ 0x1487, 0x7E57,
+ 0x1455, 0x7E5F,
+ 0x1423, 0x7E67,
+ 0x13F2, 0x7E6F,
+ 0x13C0, 0x7E77,
+ 0x138E, 0x7E7F,
+ 0x135D, 0x7E86,
+ 0x132B, 0x7E8E,
+ 0x12F9, 0x7E95,
+ 0x12C8, 0x7E9D,
+ 0x1296, 0x7EA4,
+ 0x1264, 0x7EAB,
+ 0x1232, 0x7EB3,
+ 0x1201, 0x7EBA,
+ 0x11CF, 0x7EC1,
+ 0x119D, 0x7EC8,
+ 0x116B, 0x7ECF,
+ 0x1139, 0x7ED5,
+ 0x1108, 0x7EDC,
+ 0x10D6, 0x7EE3,
+ 0x10A4, 0x7EE9,
+ 0x1072, 0x7EF0,
+ 0x1040, 0x7EF6,
+ 0x100E, 0x7EFD,
+ 0x0FDD, 0x7F03,
+ 0x0FAB, 0x7F09,
+ 0x0F79, 0x7F0F,
+ 0x0F47, 0x7F15,
+ 0x0F15, 0x7F1B,
+ 0x0EE3, 0x7F21,
+ 0x0EB1, 0x7F27,
+ 0x0E7F, 0x7F2D,
+ 0x0E4D, 0x7F32,
+ 0x0E1B, 0x7F38,
+ 0x0DE9, 0x7F3D,
+ 0x0DB7, 0x7F43,
+ 0x0D85, 0x7F48,
+ 0x0D53, 0x7F4D,
+ 0x0D21, 0x7F53,
+ 0x0CEF, 0x7F58,
+ 0x0CBD, 0x7F5D,
+ 0x0C8B, 0x7F62,
+ 0x0C59, 0x7F67,
+ 0x0C27, 0x7F6B,
+ 0x0BF5, 0x7F70,
+ 0x0BC3, 0x7F75,
+ 0x0B91, 0x7F79,
+ 0x0B5F, 0x7F7E,
+ 0x0B2D, 0x7F82,
+ 0x0AFB, 0x7F87,
+ 0x0AC9, 0x7F8B,
+ 0x0A97, 0x7F8F,
+ 0x0A65, 0x7F93,
+ 0x0A33, 0x7F97,
+ 0x0A00, 0x7F9B,
+ 0x09CE, 0x7F9F,
+ 0x099C, 0x7FA3,
+ 0x096A, 0x7FA7,
+ 0x0938, 0x7FAA,
+ 0x0906, 0x7FAE,
+ 0x08D4, 0x7FB1,
+ 0x08A2, 0x7FB5,
+ 0x086F, 0x7FB8,
+ 0x083D, 0x7FBC,
+ 0x080B, 0x7FBF,
+ 0x07D9, 0x7FC2,
+ 0x07A7, 0x7FC5,
+ 0x0775, 0x7FC8,
+ 0x0742, 0x7FCB,
+ 0x0710, 0x7FCE,
+ 0x06DE, 0x7FD0,
+ 0x06AC, 0x7FD3,
+ 0x067A, 0x7FD6,
+ 0x0647, 0x7FD8,
+ 0x0615, 0x7FDA,
+ 0x05E3, 0x7FDD,
+ 0x05B1, 0x7FDF,
+ 0x057F, 0x7FE1,
+ 0x054C, 0x7FE3,
+ 0x051A, 0x7FE5,
+ 0x04E8, 0x7FE7,
+ 0x04B6, 0x7FE9,
+ 0x0483, 0x7FEB,
+ 0x0451, 0x7FED,
+ 0x041F, 0x7FEE,
+ 0x03ED, 0x7FF0,
+ 0x03BA, 0x7FF2,
+ 0x0388, 0x7FF3,
+ 0x0356, 0x7FF4,
+ 0x0324, 0x7FF6,
+ 0x02F1, 0x7FF7,
+ 0x02BF, 0x7FF8,
+ 0x028D, 0x7FF9,
+ 0x025B, 0x7FFA,
+ 0x0228, 0x7FFB,
+ 0x01F6, 0x7FFC,
+ 0x01C4, 0x7FFC,
+ 0x0192, 0x7FFD,
+ 0x015F, 0x7FFE,
+ 0x012D, 0x7FFE,
+ 0x00FB, 0x7FFF,
+ 0x00C9, 0x7FFF,
+ 0x0096, 0x7FFF,
+ 0x0064, 0x7FFF,
+ 0x0032, 0x7FFF,
+ 0x0000, 0x7FFF,
+ 0xFFCD, 0x7FFF,
+ 0xFF9B, 0x7FFF,
+ 0xFF69, 0x7FFF,
+ 0xFF36, 0x7FFF,
+ 0xFF04, 0x7FFF,
+ 0xFED2, 0x7FFE,
+ 0xFEA0, 0x7FFE,
+ 0xFE6D, 0x7FFD,
+ 0xFE3B, 0x7FFC,
+ 0xFE09, 0x7FFC,
+ 0xFDD7, 0x7FFB,
+ 0xFDA4, 0x7FFA,
+ 0xFD72, 0x7FF9,
+ 0xFD40, 0x7FF8,
+ 0xFD0E, 0x7FF7,
+ 0xFCDB, 0x7FF6,
+ 0xFCA9, 0x7FF4,
+ 0xFC77, 0x7FF3,
+ 0xFC45, 0x7FF2,
+ 0xFC12, 0x7FF0,
+ 0xFBE0, 0x7FEE,
+ 0xFBAE, 0x7FED,
+ 0xFB7C, 0x7FEB,
+ 0xFB49, 0x7FE9,
+ 0xFB17, 0x7FE7,
+ 0xFAE5, 0x7FE5,
+ 0xFAB3, 0x7FE3,
+ 0xFA80, 0x7FE1,
+ 0xFA4E, 0x7FDF,
+ 0xFA1C, 0x7FDD,
+ 0xF9EA, 0x7FDA,
+ 0xF9B8, 0x7FD8,
+ 0xF985, 0x7FD6,
+ 0xF953, 0x7FD3,
+ 0xF921, 0x7FD0,
+ 0xF8EF, 0x7FCE,
+ 0xF8BD, 0x7FCB,
+ 0xF88A, 0x7FC8,
+ 0xF858, 0x7FC5,
+ 0xF826, 0x7FC2,
+ 0xF7F4, 0x7FBF,
+ 0xF7C2, 0x7FBC,
+ 0xF790, 0x7FB8,
+ 0xF75D, 0x7FB5,
+ 0xF72B, 0x7FB1,
+ 0xF6F9, 0x7FAE,
+ 0xF6C7, 0x7FAA,
+ 0xF695, 0x7FA7,
+ 0xF663, 0x7FA3,
+ 0xF631, 0x7F9F,
+ 0xF5FF, 0x7F9B,
+ 0xF5CC, 0x7F97,
+ 0xF59A, 0x7F93,
+ 0xF568, 0x7F8F,
+ 0xF536, 0x7F8B,
+ 0xF504, 0x7F87,
+ 0xF4D2, 0x7F82,
+ 0xF4A0, 0x7F7E,
+ 0xF46E, 0x7F79,
+ 0xF43C, 0x7F75,
+ 0xF40A, 0x7F70,
+ 0xF3D8, 0x7F6B,
+ 0xF3A6, 0x7F67,
+ 0xF374, 0x7F62,
+ 0xF342, 0x7F5D,
+ 0xF310, 0x7F58,
+ 0xF2DE, 0x7F53,
+ 0xF2AC, 0x7F4D,
+ 0xF27A, 0x7F48,
+ 0xF248, 0x7F43,
+ 0xF216, 0x7F3D,
+ 0xF1E4, 0x7F38,
+ 0xF1B2, 0x7F32,
+ 0xF180, 0x7F2D,
+ 0xF14E, 0x7F27,
+ 0xF11C, 0x7F21,
+ 0xF0EA, 0x7F1B,
+ 0xF0B8, 0x7F15,
+ 0xF086, 0x7F0F,
+ 0xF054, 0x7F09,
+ 0xF022, 0x7F03,
+ 0xEFF1, 0x7EFD,
+ 0xEFBF, 0x7EF6,
+ 0xEF8D, 0x7EF0,
+ 0xEF5B, 0x7EE9,
+ 0xEF29, 0x7EE3,
+ 0xEEF7, 0x7EDC,
+ 0xEEC6, 0x7ED5,
+ 0xEE94, 0x7ECF,
+ 0xEE62, 0x7EC8,
+ 0xEE30, 0x7EC1,
+ 0xEDFE, 0x7EBA,
+ 0xEDCD, 0x7EB3,
+ 0xED9B, 0x7EAB,
+ 0xED69, 0x7EA4,
+ 0xED37, 0x7E9D,
+ 0xED06, 0x7E95,
+ 0xECD4, 0x7E8E,
+ 0xECA2, 0x7E86,
+ 0xEC71, 0x7E7F,
+ 0xEC3F, 0x7E77,
+ 0xEC0D, 0x7E6F,
+ 0xEBDC, 0x7E67,
+ 0xEBAA, 0x7E5F,
+ 0xEB78, 0x7E57,
+ 0xEB47, 0x7E4F,
+ 0xEB15, 0x7E47,
+ 0xEAE4, 0x7E3F,
+ 0xEAB2, 0x7E37,
+ 0xEA80, 0x7E2E,
+ 0xEA4F, 0x7E26,
+ 0xEA1D, 0x7E1D,
+ 0xE9EC, 0x7E14,
+ 0xE9BA, 0x7E0C,
+ 0xE989, 0x7E03,
+ 0xE957, 0x7DFA,
+ 0xE926, 0x7DF1,
+ 0xE8F5, 0x7DE8,
+ 0xE8C3, 0x7DDF,
+ 0xE892, 0x7DD6,
+ 0xE860, 0x7DCD,
+ 0xE82F, 0x7DC3,
+ 0xE7FD, 0x7DBA,
+ 0xE7CC, 0x7DB0,
+ 0xE79B, 0x7DA7,
+ 0xE769, 0x7D9D,
+ 0xE738, 0x7D94,
+ 0xE707, 0x7D8A,
+ 0xE6D5, 0x7D80,
+ 0xE6A4, 0x7D76,
+ 0xE673, 0x7D6C,
+ 0xE642, 0x7D62,
+ 0xE610, 0x7D58,
+ 0xE5DF, 0x7D4E,
+ 0xE5AE, 0x7D43,
+ 0xE57D, 0x7D39,
+ 0xE54C, 0x7D2F,
+ 0xE51B, 0x7D24,
+ 0xE4E9, 0x7D19,
+ 0xE4B8, 0x7D0F,
+ 0xE487, 0x7D04,
+ 0xE456, 0x7CF9,
+ 0xE425, 0x7CEE,
+ 0xE3F4, 0x7CE3,
+ 0xE3C3, 0x7CD8,
+ 0xE392, 0x7CCD,
+ 0xE361, 0x7CC2,
+ 0xE330, 0x7CB7,
+ 0xE2FF, 0x7CAB,
+ 0xE2CE, 0x7CA0,
+ 0xE29D, 0x7C94,
+ 0xE26C, 0x7C89,
+ 0xE23B, 0x7C7D,
+ 0xE20A, 0x7C71,
+ 0xE1DA, 0x7C66,
+ 0xE1A9, 0x7C5A,
+ 0xE178, 0x7C4E,
+ 0xE147, 0x7C42,
+ 0xE116, 0x7C36,
+ 0xE0E6, 0x7C29,
+ 0xE0B5, 0x7C1D,
+ 0xE084, 0x7C11,
+ 0xE053, 0x7C05,
+ 0xE023, 0x7BF8,
+ 0xDFF2, 0x7BEB,
+ 0xDFC1, 0x7BDF,
+ 0xDF91, 0x7BD2,
+ 0xDF60, 0x7BC5,
+ 0xDF2F, 0x7BB9,
+ 0xDEFF, 0x7BAC,
+ 0xDECE, 0x7B9F,
+ 0xDE9E, 0x7B92,
+ 0xDE6D, 0x7B84,
+ 0xDE3D, 0x7B77,
+ 0xDE0C, 0x7B6A,
+ 0xDDDC, 0x7B5D,
+ 0xDDAB, 0x7B4F,
+ 0xDD7B, 0x7B42,
+ 0xDD4B, 0x7B34,
+ 0xDD1A, 0x7B26,
+ 0xDCEA, 0x7B19,
+ 0xDCBA, 0x7B0B,
+ 0xDC89, 0x7AFD,
+ 0xDC59, 0x7AEF,
+ 0xDC29, 0x7AE1,
+ 0xDBF8, 0x7AD3,
+ 0xDBC8, 0x7AC5,
+ 0xDB98, 0x7AB6,
+ 0xDB68, 0x7AA8,
+ 0xDB38, 0x7A9A,
+ 0xDB08, 0x7A8B,
+ 0xDAD7, 0x7A7D,
+ 0xDAA7, 0x7A6E,
+ 0xDA77, 0x7A5F,
+ 0xDA47, 0x7A50,
+ 0xDA17, 0x7A42,
+ 0xD9E7, 0x7A33,
+ 0xD9B7, 0x7A24,
+ 0xD987, 0x7A15,
+ 0xD957, 0x7A05,
+ 0xD927, 0x79F6,
+ 0xD8F8, 0x79E7,
+ 0xD8C8, 0x79D8,
+ 0xD898, 0x79C8,
+ 0xD868, 0x79B9,
+ 0xD838, 0x79A9,
+ 0xD809, 0x7999,
+ 0xD7D9, 0x798A,
+ 0xD7A9, 0x797A,
+ 0xD779, 0x796A,
+ 0xD74A, 0x795A,
+ 0xD71A, 0x794A,
+ 0xD6EA, 0x793A,
+ 0xD6BB, 0x792A,
+ 0xD68B, 0x7919,
+ 0xD65C, 0x7909,
+ 0xD62C, 0x78F9,
+ 0xD5FD, 0x78E8,
+ 0xD5CD, 0x78D8,
+ 0xD59E, 0x78C7,
+ 0xD56E, 0x78B6,
+ 0xD53F, 0x78A6,
+ 0xD510, 0x7895,
+ 0xD4E0, 0x7884,
+ 0xD4B1, 0x7873,
+ 0xD482, 0x7862,
+ 0xD452, 0x7851,
+ 0xD423, 0x7840,
+ 0xD3F4, 0x782E,
+ 0xD3C5, 0x781D,
+ 0xD396, 0x780C,
+ 0xD367, 0x77FA,
+ 0xD337, 0x77E9,
+ 0xD308, 0x77D7,
+ 0xD2D9, 0x77C5,
+ 0xD2AA, 0x77B4,
+ 0xD27B, 0x77A2,
+ 0xD24C, 0x7790,
+ 0xD21D, 0x777E,
+ 0xD1EE, 0x776C,
+ 0xD1C0, 0x775A,
+ 0xD191, 0x7747,
+ 0xD162, 0x7735,
+ 0xD133, 0x7723,
+ 0xD104, 0x7710,
+ 0xD0D6, 0x76FE,
+ 0xD0A7, 0x76EB,
+ 0xD078, 0x76D9,
+ 0xD04A, 0x76C6,
+ 0xD01B, 0x76B3,
+ 0xCFEC, 0x76A0,
+ 0xCFBE, 0x768E,
+ 0xCF8F, 0x767B,
+ 0xCF61, 0x7668,
+ 0xCF32, 0x7654,
+ 0xCF04, 0x7641,
+ 0xCED5, 0x762E,
+ 0xCEA7, 0x761B,
+ 0xCE79, 0x7607,
+ 0xCE4A, 0x75F4,
+ 0xCE1C, 0x75E0,
+ 0xCDEE, 0x75CC,
+ 0xCDBF, 0x75B9,
+ 0xCD91, 0x75A5,
+ 0xCD63, 0x7591,
+ 0xCD35, 0x757D,
+ 0xCD07, 0x7569,
+ 0xCCD9, 0x7555,
+ 0xCCAB, 0x7541,
+ 0xCC7D, 0x752D,
+ 0xCC4F, 0x7519,
+ 0xCC21, 0x7504,
+ 0xCBF3, 0x74F0,
+ 0xCBC5, 0x74DB,
+ 0xCB97, 0x74C7,
+ 0xCB69, 0x74B2,
+ 0xCB3B, 0x749E,
+ 0xCB0D, 0x7489,
+ 0xCAE0, 0x7474,
+ 0xCAB2, 0x745F,
+ 0xCA84, 0x744A,
+ 0xCA57, 0x7435,
+ 0xCA29, 0x7420,
+ 0xC9FB, 0x740B,
+ 0xC9CE, 0x73F6,
+ 0xC9A0, 0x73E0,
+ 0xC973, 0x73CB,
+ 0xC945, 0x73B5,
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+ 0x838E, 0x1DF5,
+ 0x8382, 0x1DC4,
+ 0x8376, 0x1D93,
+ 0x836B, 0x1D62,
+ 0x835F, 0x1D31,
+ 0x8354, 0x1D00,
+ 0x8348, 0x1CCF,
+ 0x833D, 0x1C9E,
+ 0x8332, 0x1C6D,
+ 0x8327, 0x1C3C,
+ 0x831C, 0x1C0B,
+ 0x8311, 0x1BDA,
+ 0x8306, 0x1BA9,
+ 0x82FB, 0x1B78,
+ 0x82F0, 0x1B47,
+ 0x82E6, 0x1B16,
+ 0x82DB, 0x1AE4,
+ 0x82D0, 0x1AB3,
+ 0x82C6, 0x1A82,
+ 0x82BC, 0x1A51,
+ 0x82B1, 0x1A20,
+ 0x82A7, 0x19EF,
+ 0x829D, 0x19BD,
+ 0x8293, 0x198C,
+ 0x8289, 0x195B,
+ 0x827F, 0x192A,
+ 0x8275, 0x18F8,
+ 0x826B, 0x18C7,
+ 0x8262, 0x1896,
+ 0x8258, 0x1864,
+ 0x824F, 0x1833,
+ 0x8245, 0x1802,
+ 0x823C, 0x17D0,
+ 0x8232, 0x179F,
+ 0x8229, 0x176D,
+ 0x8220, 0x173C,
+ 0x8217, 0x170A,
+ 0x820E, 0x16D9,
+ 0x8205, 0x16A8,
+ 0x81FC, 0x1676,
+ 0x81F3, 0x1645,
+ 0x81EB, 0x1613,
+ 0x81E2, 0x15E2,
+ 0x81D9, 0x15B0,
+ 0x81D1, 0x157F,
+ 0x81C8, 0x154D,
+ 0x81C0, 0x151B,
+ 0x81B8, 0x14EA,
+ 0x81B0, 0x14B8,
+ 0x81A8, 0x1487,
+ 0x81A0, 0x1455,
+ 0x8198, 0x1423,
+ 0x8190, 0x13F2,
+ 0x8188, 0x13C0,
+ 0x8180, 0x138E,
+ 0x8179, 0x135D,
+ 0x8171, 0x132B,
+ 0x816A, 0x12F9,
+ 0x8162, 0x12C8,
+ 0x815B, 0x1296,
+ 0x8154, 0x1264,
+ 0x814C, 0x1232,
+ 0x8145, 0x1201,
+ 0x813E, 0x11CF,
+ 0x8137, 0x119D,
+ 0x8130, 0x116B,
+ 0x812A, 0x1139,
+ 0x8123, 0x1108,
+ 0x811C, 0x10D6,
+ 0x8116, 0x10A4,
+ 0x810F, 0x1072,
+ 0x8109, 0x1040,
+ 0x8102, 0x100E,
+ 0x80FC, 0x0FDD,
+ 0x80F6, 0x0FAB,
+ 0x80F0, 0x0F79,
+ 0x80EA, 0x0F47,
+ 0x80E4, 0x0F15,
+ 0x80DE, 0x0EE3,
+ 0x80D8, 0x0EB1,
+ 0x80D2, 0x0E7F,
+ 0x80CD, 0x0E4D,
+ 0x80C7, 0x0E1B,
+ 0x80C2, 0x0DE9,
+ 0x80BC, 0x0DB7,
+ 0x80B7, 0x0D85,
+ 0x80B2, 0x0D53,
+ 0x80AC, 0x0D21,
+ 0x80A7, 0x0CEF,
+ 0x80A2, 0x0CBD,
+ 0x809D, 0x0C8B,
+ 0x8098, 0x0C59,
+ 0x8094, 0x0C27,
+ 0x808F, 0x0BF5,
+ 0x808A, 0x0BC3,
+ 0x8086, 0x0B91,
+ 0x8081, 0x0B5F,
+ 0x807D, 0x0B2D,
+ 0x8078, 0x0AFB,
+ 0x8074, 0x0AC9,
+ 0x8070, 0x0A97,
+ 0x806C, 0x0A65,
+ 0x8068, 0x0A33,
+ 0x8064, 0x0A00,
+ 0x8060, 0x09CE,
+ 0x805C, 0x099C,
+ 0x8058, 0x096A,
+ 0x8055, 0x0938,
+ 0x8051, 0x0906,
+ 0x804E, 0x08D4,
+ 0x804A, 0x08A2,
+ 0x8047, 0x086F,
+ 0x8043, 0x083D,
+ 0x8040, 0x080B,
+ 0x803D, 0x07D9,
+ 0x803A, 0x07A7,
+ 0x8037, 0x0775,
+ 0x8034, 0x0742,
+ 0x8031, 0x0710,
+ 0x802F, 0x06DE,
+ 0x802C, 0x06AC,
+ 0x8029, 0x067A,
+ 0x8027, 0x0647,
+ 0x8025, 0x0615,
+ 0x8022, 0x05E3,
+ 0x8020, 0x05B1,
+ 0x801E, 0x057F,
+ 0x801C, 0x054C,
+ 0x801A, 0x051A,
+ 0x8018, 0x04E8,
+ 0x8016, 0x04B6,
+ 0x8014, 0x0483,
+ 0x8012, 0x0451,
+ 0x8011, 0x041F,
+ 0x800F, 0x03ED,
+ 0x800D, 0x03BA,
+ 0x800C, 0x0388,
+ 0x800B, 0x0356,
+ 0x8009, 0x0324,
+ 0x8008, 0x02F1,
+ 0x8007, 0x02BF,
+ 0x8006, 0x028D,
+ 0x8005, 0x025B,
+ 0x8004, 0x0228,
+ 0x8003, 0x01F6,
+ 0x8003, 0x01C4,
+ 0x8002, 0x0192,
+ 0x8001, 0x015F,
+ 0x8001, 0x012D,
+ 0x8000, 0x00FB,
+ 0x8000, 0x00C9,
+ 0x8000, 0x0096,
+ 0x8000, 0x0064,
+ 0x8000, 0x0032,
+ 0x8000, 0x0000,
+ 0x8000, 0xFFCD,
+ 0x8000, 0xFF9B,
+ 0x8000, 0xFF69,
+ 0x8000, 0xFF36,
+ 0x8000, 0xFF04,
+ 0x8001, 0xFED2,
+ 0x8001, 0xFEA0,
+ 0x8002, 0xFE6D,
+ 0x8003, 0xFE3B,
+ 0x8003, 0xFE09,
+ 0x8004, 0xFDD7,
+ 0x8005, 0xFDA4,
+ 0x8006, 0xFD72,
+ 0x8007, 0xFD40,
+ 0x8008, 0xFD0E,
+ 0x8009, 0xFCDB,
+ 0x800B, 0xFCA9,
+ 0x800C, 0xFC77,
+ 0x800D, 0xFC45,
+ 0x800F, 0xFC12,
+ 0x8011, 0xFBE0,
+ 0x8012, 0xFBAE,
+ 0x8014, 0xFB7C,
+ 0x8016, 0xFB49,
+ 0x8018, 0xFB17,
+ 0x801A, 0xFAE5,
+ 0x801C, 0xFAB3,
+ 0x801E, 0xFA80,
+ 0x8020, 0xFA4E,
+ 0x8022, 0xFA1C,
+ 0x8025, 0xF9EA,
+ 0x8027, 0xF9B8,
+ 0x8029, 0xF985,
+ 0x802C, 0xF953,
+ 0x802F, 0xF921,
+ 0x8031, 0xF8EF,
+ 0x8034, 0xF8BD,
+ 0x8037, 0xF88A,
+ 0x803A, 0xF858,
+ 0x803D, 0xF826,
+ 0x8040, 0xF7F4,
+ 0x8043, 0xF7C2,
+ 0x8047, 0xF790,
+ 0x804A, 0xF75D,
+ 0x804E, 0xF72B,
+ 0x8051, 0xF6F9,
+ 0x8055, 0xF6C7,
+ 0x8058, 0xF695,
+ 0x805C, 0xF663,
+ 0x8060, 0xF631,
+ 0x8064, 0xF5FF,
+ 0x8068, 0xF5CC,
+ 0x806C, 0xF59A,
+ 0x8070, 0xF568,
+ 0x8074, 0xF536,
+ 0x8078, 0xF504,
+ 0x807D, 0xF4D2,
+ 0x8081, 0xF4A0,
+ 0x8086, 0xF46E,
+ 0x808A, 0xF43C,
+ 0x808F, 0xF40A,
+ 0x8094, 0xF3D8,
+ 0x8098, 0xF3A6,
+ 0x809D, 0xF374,
+ 0x80A2, 0xF342,
+ 0x80A7, 0xF310,
+ 0x80AC, 0xF2DE,
+ 0x80B2, 0xF2AC,
+ 0x80B7, 0xF27A,
+ 0x80BC, 0xF248,
+ 0x80C2, 0xF216,
+ 0x80C7, 0xF1E4,
+ 0x80CD, 0xF1B2,
+ 0x80D2, 0xF180,
+ 0x80D8, 0xF14E,
+ 0x80DE, 0xF11C,
+ 0x80E4, 0xF0EA,
+ 0x80EA, 0xF0B8,
+ 0x80F0, 0xF086,
+ 0x80F6, 0xF054,
+ 0x80FC, 0xF022,
+ 0x8102, 0xEFF1,
+ 0x8109, 0xEFBF,
+ 0x810F, 0xEF8D,
+ 0x8116, 0xEF5B,
+ 0x811C, 0xEF29,
+ 0x8123, 0xEEF7,
+ 0x812A, 0xEEC6,
+ 0x8130, 0xEE94,
+ 0x8137, 0xEE62,
+ 0x813E, 0xEE30,
+ 0x8145, 0xEDFE,
+ 0x814C, 0xEDCD,
+ 0x8154, 0xED9B,
+ 0x815B, 0xED69,
+ 0x8162, 0xED37,
+ 0x816A, 0xED06,
+ 0x8171, 0xECD4,
+ 0x8179, 0xECA2,
+ 0x8180, 0xEC71,
+ 0x8188, 0xEC3F,
+ 0x8190, 0xEC0D,
+ 0x8198, 0xEBDC,
+ 0x81A0, 0xEBAA,
+ 0x81A8, 0xEB78,
+ 0x81B0, 0xEB47,
+ 0x81B8, 0xEB15,
+ 0x81C0, 0xEAE4,
+ 0x81C8, 0xEAB2,
+ 0x81D1, 0xEA80,
+ 0x81D9, 0xEA4F,
+ 0x81E2, 0xEA1D,
+ 0x81EB, 0xE9EC,
+ 0x81F3, 0xE9BA,
+ 0x81FC, 0xE989,
+ 0x8205, 0xE957,
+ 0x820E, 0xE926,
+ 0x8217, 0xE8F5,
+ 0x8220, 0xE8C3,
+ 0x8229, 0xE892,
+ 0x8232, 0xE860,
+ 0x823C, 0xE82F,
+ 0x8245, 0xE7FD,
+ 0x824F, 0xE7CC,
+ 0x8258, 0xE79B,
+ 0x8262, 0xE769,
+ 0x826B, 0xE738,
+ 0x8275, 0xE707,
+ 0x827F, 0xE6D5,
+ 0x8289, 0xE6A4,
+ 0x8293, 0xE673,
+ 0x829D, 0xE642,
+ 0x82A7, 0xE610,
+ 0x82B1, 0xE5DF,
+ 0x82BC, 0xE5AE,
+ 0x82C6, 0xE57D,
+ 0x82D0, 0xE54C,
+ 0x82DB, 0xE51B,
+ 0x82E6, 0xE4E9,
+ 0x82F0, 0xE4B8,
+ 0x82FB, 0xE487,
+ 0x8306, 0xE456,
+ 0x8311, 0xE425,
+ 0x831C, 0xE3F4,
+ 0x8327, 0xE3C3,
+ 0x8332, 0xE392,
+ 0x833D, 0xE361,
+ 0x8348, 0xE330,
+ 0x8354, 0xE2FF,
+ 0x835F, 0xE2CE,
+ 0x836B, 0xE29D,
+ 0x8376, 0xE26C,
+ 0x8382, 0xE23B,
+ 0x838E, 0xE20A,
+ 0x8399, 0xE1DA,
+ 0x83A5, 0xE1A9,
+ 0x83B1, 0xE178,
+ 0x83BD, 0xE147,
+ 0x83C9, 0xE116,
+ 0x83D6, 0xE0E6,
+ 0x83E2, 0xE0B5,
+ 0x83EE, 0xE084,
+ 0x83FA, 0xE053,
+ 0x8407, 0xE023,
+ 0x8414, 0xDFF2,
+ 0x8420, 0xDFC1,
+ 0x842D, 0xDF91,
+ 0x843A, 0xDF60,
+ 0x8446, 0xDF2F,
+ 0x8453, 0xDEFF,
+ 0x8460, 0xDECE,
+ 0x846D, 0xDE9E,
+ 0x847B, 0xDE6D,
+ 0x8488, 0xDE3D,
+ 0x8495, 0xDE0C,
+ 0x84A2, 0xDDDC,
+ 0x84B0, 0xDDAB,
+ 0x84BD, 0xDD7B,
+ 0x84CB, 0xDD4B,
+ 0x84D9, 0xDD1A,
+ 0x84E6, 0xDCEA,
+ 0x84F4, 0xDCBA,
+ 0x8502, 0xDC89,
+ 0x8510, 0xDC59,
+ 0x851E, 0xDC29,
+ 0x852C, 0xDBF8,
+ 0x853A, 0xDBC8,
+ 0x8549, 0xDB98,
+ 0x8557, 0xDB68,
+ 0x8565, 0xDB38,
+ 0x8574, 0xDB08,
+ 0x8582, 0xDAD7,
+ 0x8591, 0xDAA7,
+ 0x85A0, 0xDA77,
+ 0x85AF, 0xDA47,
+ 0x85BD, 0xDA17,
+ 0x85CC, 0xD9E7,
+ 0x85DB, 0xD9B7,
+ 0x85EA, 0xD987,
+ 0x85FA, 0xD957,
+ 0x8609, 0xD927,
+ 0x8618, 0xD8F8,
+ 0x8627, 0xD8C8,
+ 0x8637, 0xD898,
+ 0x8646, 0xD868,
+ 0x8656, 0xD838,
+ 0x8666, 0xD809,
+ 0x8675, 0xD7D9,
+ 0x8685, 0xD7A9,
+ 0x8695, 0xD779,
+ 0x86A5, 0xD74A,
+ 0x86B5, 0xD71A,
+ 0x86C5, 0xD6EA,
+ 0x86D5, 0xD6BB,
+ 0x86E6, 0xD68B,
+ 0x86F6, 0xD65C,
+ 0x8706, 0xD62C,
+ 0x8717, 0xD5FD,
+ 0x8727, 0xD5CD,
+ 0x8738, 0xD59E,
+ 0x8749, 0xD56E,
+ 0x8759, 0xD53F,
+ 0x876A, 0xD510,
+ 0x877B, 0xD4E0,
+ 0x878C, 0xD4B1,
+ 0x879D, 0xD482,
+ 0x87AE, 0xD452,
+ 0x87BF, 0xD423,
+ 0x87D1, 0xD3F4,
+ 0x87E2, 0xD3C5,
+ 0x87F3, 0xD396,
+ 0x8805, 0xD367,
+ 0x8816, 0xD337,
+ 0x8828, 0xD308,
+ 0x883A, 0xD2D9,
+ 0x884B, 0xD2AA,
+ 0x885D, 0xD27B,
+ 0x886F, 0xD24C,
+ 0x8881, 0xD21D,
+ 0x8893, 0xD1EE,
+ 0x88A5, 0xD1C0,
+ 0x88B8, 0xD191,
+ 0x88CA, 0xD162,
+ 0x88DC, 0xD133,
+ 0x88EF, 0xD104,
+ 0x8901, 0xD0D6,
+ 0x8914, 0xD0A7,
+ 0x8926, 0xD078,
+ 0x8939, 0xD04A,
+ 0x894C, 0xD01B,
+ 0x895F, 0xCFEC,
+ 0x8971, 0xCFBE,
+ 0x8984, 0xCF8F,
+ 0x8997, 0xCF61,
+ 0x89AB, 0xCF32,
+ 0x89BE, 0xCF04,
+ 0x89D1, 0xCED5,
+ 0x89E4, 0xCEA7,
+ 0x89F8, 0xCE79,
+ 0x8A0B, 0xCE4A,
+ 0x8A1F, 0xCE1C,
+ 0x8A33, 0xCDEE,
+ 0x8A46, 0xCDBF,
+ 0x8A5A, 0xCD91,
+ 0x8A6E, 0xCD63,
+ 0x8A82, 0xCD35,
+ 0x8A96, 0xCD07,
+ 0x8AAA, 0xCCD9,
+ 0x8ABE, 0xCCAB,
+ 0x8AD2, 0xCC7D,
+ 0x8AE6, 0xCC4F,
+ 0x8AFB, 0xCC21,
+ 0x8B0F, 0xCBF3,
+ 0x8B24, 0xCBC5,
+ 0x8B38, 0xCB97,
+ 0x8B4D, 0xCB69,
+ 0x8B61, 0xCB3B,
+ 0x8B76, 0xCB0D,
+ 0x8B8B, 0xCAE0,
+ 0x8BA0, 0xCAB2,
+ 0x8BB5, 0xCA84,
+ 0x8BCA, 0xCA57,
+ 0x8BDF, 0xCA29,
+ 0x8BF4, 0xC9FB,
+ 0x8C09, 0xC9CE,
+ 0x8C1F, 0xC9A0,
+ 0x8C34, 0xC973,
+ 0x8C4A, 0xC945,
+ 0x8C5F, 0xC918,
+ 0x8C75, 0xC8EB,
+ 0x8C8A, 0xC8BD,
+ 0x8CA0, 0xC890,
+ 0x8CB6, 0xC863,
+ 0x8CCC, 0xC835,
+ 0x8CE2, 0xC808,
+ 0x8CF8, 0xC7DB,
+ 0x8D0E, 0xC7AE,
+ 0x8D24, 0xC781,
+ 0x8D3A, 0xC754,
+ 0x8D50, 0xC727,
+ 0x8D67, 0xC6F9,
+ 0x8D7D, 0xC6CD,
+ 0x8D94, 0xC6A0,
+ 0x8DAA, 0xC673,
+ 0x8DC1, 0xC646,
+ 0x8DD8, 0xC619,
+ 0x8DEE, 0xC5EC,
+ 0x8E05, 0xC5BF,
+ 0x8E1C, 0xC593,
+ 0x8E33, 0xC566,
+ 0x8E4A, 0xC539,
+ 0x8E61, 0xC50D,
+ 0x8E79, 0xC4E0,
+ 0x8E90, 0xC4B3,
+ 0x8EA7, 0xC487,
+ 0x8EBE, 0xC45A,
+ 0x8ED6, 0xC42E,
+ 0x8EED, 0xC402,
+ 0x8F05, 0xC3D5,
+ 0x8F1D, 0xC3A9,
+ 0x8F34, 0xC37C,
+ 0x8F4C, 0xC350,
+ 0x8F64, 0xC324,
+ 0x8F7C, 0xC2F8,
+ 0x8F94, 0xC2CC,
+ 0x8FAC, 0xC29F,
+ 0x8FC4, 0xC273,
+ 0x8FDC, 0xC247,
+ 0x8FF5, 0xC21B,
+ 0x900D, 0xC1EF,
+ 0x9025, 0xC1C3,
+ 0x903E, 0xC197,
+ 0x9056, 0xC16C,
+ 0x906F, 0xC140,
+ 0x9088, 0xC114,
+ 0x90A0, 0xC0E8,
+ 0x90B9, 0xC0BC,
+ 0x90D2, 0xC091,
+ 0x90EB, 0xC065,
+ 0x9104, 0xC03A,
+ 0x911D, 0xC00E,
+ 0x9136, 0xBFE2,
+ 0x9150, 0xBFB7,
+ 0x9169, 0xBF8C,
+ 0x9182, 0xBF60,
+ 0x919C, 0xBF35,
+ 0x91B5, 0xBF09,
+ 0x91CF, 0xBEDE,
+ 0x91E8, 0xBEB3,
+ 0x9202, 0xBE88,
+ 0x921C, 0xBE5D,
+ 0x9235, 0xBE31,
+ 0x924F, 0xBE06,
+ 0x9269, 0xBDDB,
+ 0x9283, 0xBDB0,
+ 0x929D, 0xBD85,
+ 0x92B7, 0xBD5A,
+ 0x92D2, 0xBD2F,
+ 0x92EC, 0xBD05,
+ 0x9306, 0xBCDA,
+ 0x9321, 0xBCAF,
+ 0x933B, 0xBC84,
+ 0x9356, 0xBC5A,
+ 0x9370, 0xBC2F,
+ 0x938B, 0xBC04,
+ 0x93A6, 0xBBDA,
+ 0x93C0, 0xBBAF,
+ 0x93DB, 0xBB85,
+ 0x93F6, 0xBB5A,
+ 0x9411, 0xBB30,
+ 0x942C, 0xBB05,
+ 0x9447, 0xBADB,
+ 0x9463, 0xBAB1,
+ 0x947E, 0xBA87,
+ 0x9499, 0xBA5C,
+ 0x94B5, 0xBA32,
+ 0x94D0, 0xBA08,
+ 0x94EC, 0xB9DE,
+ 0x9507, 0xB9B4,
+ 0x9523, 0xB98A,
+ 0x953E, 0xB960,
+ 0x955A, 0xB936,
+ 0x9576, 0xB90C,
+ 0x9592, 0xB8E3,
+ 0x95AE, 0xB8B9,
+ 0x95CA, 0xB88F,
+ 0x95E6, 0xB865,
+ 0x9602, 0xB83C,
+ 0x961E, 0xB812,
+ 0x963B, 0xB7E9,
+ 0x9657, 0xB7BF,
+ 0x9673, 0xB796,
+ 0x9690, 0xB76C,
+ 0x96AC, 0xB743,
+ 0x96C9, 0xB719,
+ 0x96E6, 0xB6F0,
+ 0x9702, 0xB6C7,
+ 0x971F, 0xB69E,
+ 0x973C, 0xB675,
+ 0x9759, 0xB64B,
+ 0x9776, 0xB622,
+ 0x9793, 0xB5F9,
+ 0x97B0, 0xB5D0,
+ 0x97CD, 0xB5A7,
+ 0x97EA, 0xB57E,
+ 0x9808, 0xB556,
+ 0x9825, 0xB52D,
+ 0x9842, 0xB504,
+ 0x9860, 0xB4DB,
+ 0x987D, 0xB4B3,
+ 0x989B, 0xB48A,
+ 0x98B9, 0xB461,
+ 0x98D6, 0xB439,
+ 0x98F4, 0xB410,
+ 0x9912, 0xB3E8,
+ 0x9930, 0xB3C0,
+ 0x994E, 0xB397,
+ 0x996C, 0xB36F,
+ 0x998A, 0xB347,
+ 0x99A8, 0xB31E,
+ 0x99C6, 0xB2F6,
+ 0x99E5, 0xB2CE,
+ 0x9A03, 0xB2A6,
+ 0x9A22, 0xB27E,
+ 0x9A40, 0xB256,
+ 0x9A5F, 0xB22E,
+ 0x9A7D, 0xB206,
+ 0x9A9C, 0xB1DE,
+ 0x9ABA, 0xB1B7,
+ 0x9AD9, 0xB18F,
+ 0x9AF8, 0xB167,
+ 0x9B17, 0xB140,
+ 0x9B36, 0xB118,
+ 0x9B55, 0xB0F0,
+ 0x9B74, 0xB0C9,
+ 0x9B93, 0xB0A1,
+ 0x9BB2, 0xB07A,
+ 0x9BD2, 0xB053,
+ 0x9BF1, 0xB02B,
+ 0x9C10, 0xB004,
+ 0x9C30, 0xAFDD,
+ 0x9C4F, 0xAFB6,
+ 0x9C6F, 0xAF8F,
+ 0x9C8E, 0xAF68,
+ 0x9CAE, 0xAF40,
+ 0x9CCE, 0xAF1A,
+ 0x9CEE, 0xAEF3,
+ 0x9D0D, 0xAECC,
+ 0x9D2D, 0xAEA5,
+ 0x9D4D, 0xAE7E,
+ 0x9D6D, 0xAE57,
+ 0x9D8E, 0xAE31,
+ 0x9DAE, 0xAE0A,
+ 0x9DCE, 0xADE3,
+ 0x9DEE, 0xADBD,
+ 0x9E0E, 0xAD96,
+ 0x9E2F, 0xAD70,
+ 0x9E4F, 0xAD4A,
+ 0x9E70, 0xAD23,
+ 0x9E90, 0xACFD,
+ 0x9EB1, 0xACD7,
+ 0x9ED2, 0xACB1,
+ 0x9EF2, 0xAC8A,
+ 0x9F13, 0xAC64,
+ 0x9F34, 0xAC3E,
+ 0x9F55, 0xAC18,
+ 0x9F76, 0xABF2,
+ 0x9F97, 0xABCC,
+ 0x9FB8, 0xABA7,
+ 0x9FD9, 0xAB81,
+ 0x9FFB, 0xAB5B,
+ 0xA01C, 0xAB35,
+ 0xA03D, 0xAB10,
+ 0xA05F, 0xAAEA,
+ 0xA080, 0xAAC5,
+ 0xA0A1, 0xAA9F,
+ 0xA0C3, 0xAA7A,
+ 0xA0E5, 0xAA54,
+ 0xA106, 0xAA2F,
+ 0xA128, 0xAA0A,
+ 0xA14A, 0xA9E5,
+ 0xA16C, 0xA9BF,
+ 0xA18E, 0xA99A,
+ 0xA1AF, 0xA975,
+ 0xA1D2, 0xA950,
+ 0xA1F4, 0xA92B,
+ 0xA216, 0xA906,
+ 0xA238, 0xA8E2,
+ 0xA25A, 0xA8BD,
+ 0xA27C, 0xA898,
+ 0xA29F, 0xA873,
+ 0xA2C1, 0xA84F,
+ 0xA2E4, 0xA82A,
+ 0xA306, 0xA806,
+ 0xA329, 0xA7E1,
+ 0xA34B, 0xA7BD,
+ 0xA36E, 0xA798,
+ 0xA391, 0xA774,
+ 0xA3B4, 0xA750,
+ 0xA3D6, 0xA72B,
+ 0xA3F9, 0xA707,
+ 0xA41C, 0xA6E3,
+ 0xA43F, 0xA6BF,
+ 0xA462, 0xA69B,
+ 0xA486, 0xA677,
+ 0xA4A9, 0xA653,
+ 0xA4CC, 0xA62F,
+ 0xA4EF, 0xA60C,
+ 0xA513, 0xA5E8,
+ 0xA536, 0xA5C4,
+ 0xA55A, 0xA5A1,
+ 0xA57D, 0xA57D,
+ 0xA5A1, 0xA55A,
+ 0xA5C4, 0xA536,
+ 0xA5E8, 0xA513,
+ 0xA60C, 0xA4EF,
+ 0xA62F, 0xA4CC,
+ 0xA653, 0xA4A9,
+ 0xA677, 0xA486,
+ 0xA69B, 0xA462,
+ 0xA6BF, 0xA43F,
+ 0xA6E3, 0xA41C,
+ 0xA707, 0xA3F9,
+ 0xA72B, 0xA3D6,
+ 0xA750, 0xA3B4,
+ 0xA774, 0xA391,
+ 0xA798, 0xA36E,
+ 0xA7BD, 0xA34B,
+ 0xA7E1, 0xA329,
+ 0xA806, 0xA306,
+ 0xA82A, 0xA2E4,
+ 0xA84F, 0xA2C1,
+ 0xA873, 0xA29F,
+ 0xA898, 0xA27C,
+ 0xA8BD, 0xA25A,
+ 0xA8E2, 0xA238,
+ 0xA906, 0xA216,
+ 0xA92B, 0xA1F4,
+ 0xA950, 0xA1D2,
+ 0xA975, 0xA1AF,
+ 0xA99A, 0xA18E,
+ 0xA9BF, 0xA16C,
+ 0xA9E5, 0xA14A,
+ 0xAA0A, 0xA128,
+ 0xAA2F, 0xA106,
+ 0xAA54, 0xA0E5,
+ 0xAA7A, 0xA0C3,
+ 0xAA9F, 0xA0A1,
+ 0xAAC5, 0xA080,
+ 0xAAEA, 0xA05F,
+ 0xAB10, 0xA03D,
+ 0xAB35, 0xA01C,
+ 0xAB5B, 0x9FFB,
+ 0xAB81, 0x9FD9,
+ 0xABA7, 0x9FB8,
+ 0xABCC, 0x9F97,
+ 0xABF2, 0x9F76,
+ 0xAC18, 0x9F55,
+ 0xAC3E, 0x9F34,
+ 0xAC64, 0x9F13,
+ 0xAC8A, 0x9EF2,
+ 0xACB1, 0x9ED2,
+ 0xACD7, 0x9EB1,
+ 0xACFD, 0x9E90,
+ 0xAD23, 0x9E70,
+ 0xAD4A, 0x9E4F,
+ 0xAD70, 0x9E2F,
+ 0xAD96, 0x9E0E,
+ 0xADBD, 0x9DEE,
+ 0xADE3, 0x9DCE,
+ 0xAE0A, 0x9DAE,
+ 0xAE31, 0x9D8E,
+ 0xAE57, 0x9D6D,
+ 0xAE7E, 0x9D4D,
+ 0xAEA5, 0x9D2D,
+ 0xAECC, 0x9D0D,
+ 0xAEF3, 0x9CEE,
+ 0xAF1A, 0x9CCE,
+ 0xAF40, 0x9CAE,
+ 0xAF68, 0x9C8E,
+ 0xAF8F, 0x9C6F,
+ 0xAFB6, 0x9C4F,
+ 0xAFDD, 0x9C30,
+ 0xB004, 0x9C10,
+ 0xB02B, 0x9BF1,
+ 0xB053, 0x9BD2,
+ 0xB07A, 0x9BB2,
+ 0xB0A1, 0x9B93,
+ 0xB0C9, 0x9B74,
+ 0xB0F0, 0x9B55,
+ 0xB118, 0x9B36,
+ 0xB140, 0x9B17,
+ 0xB167, 0x9AF8,
+ 0xB18F, 0x9AD9,
+ 0xB1B7, 0x9ABA,
+ 0xB1DE, 0x9A9C,
+ 0xB206, 0x9A7D,
+ 0xB22E, 0x9A5F,
+ 0xB256, 0x9A40,
+ 0xB27E, 0x9A22,
+ 0xB2A6, 0x9A03,
+ 0xB2CE, 0x99E5,
+ 0xB2F6, 0x99C6,
+ 0xB31E, 0x99A8,
+ 0xB347, 0x998A,
+ 0xB36F, 0x996C,
+ 0xB397, 0x994E,
+ 0xB3C0, 0x9930,
+ 0xB3E8, 0x9912,
+ 0xB410, 0x98F4,
+ 0xB439, 0x98D6,
+ 0xB461, 0x98B9,
+ 0xB48A, 0x989B,
+ 0xB4B3, 0x987D,
+ 0xB4DB, 0x9860,
+ 0xB504, 0x9842,
+ 0xB52D, 0x9825,
+ 0xB556, 0x9808,
+ 0xB57E, 0x97EA,
+ 0xB5A7, 0x97CD,
+ 0xB5D0, 0x97B0,
+ 0xB5F9, 0x9793,
+ 0xB622, 0x9776,
+ 0xB64B, 0x9759,
+ 0xB675, 0x973C,
+ 0xB69E, 0x971F,
+ 0xB6C7, 0x9702,
+ 0xB6F0, 0x96E6,
+ 0xB719, 0x96C9,
+ 0xB743, 0x96AC,
+ 0xB76C, 0x9690,
+ 0xB796, 0x9673,
+ 0xB7BF, 0x9657,
+ 0xB7E9, 0x963B,
+ 0xB812, 0x961E,
+ 0xB83C, 0x9602,
+ 0xB865, 0x95E6,
+ 0xB88F, 0x95CA,
+ 0xB8B9, 0x95AE,
+ 0xB8E3, 0x9592,
+ 0xB90C, 0x9576,
+ 0xB936, 0x955A,
+ 0xB960, 0x953E,
+ 0xB98A, 0x9523,
+ 0xB9B4, 0x9507,
+ 0xB9DE, 0x94EC,
+ 0xBA08, 0x94D0,
+ 0xBA32, 0x94B5,
+ 0xBA5C, 0x9499,
+ 0xBA87, 0x947E,
+ 0xBAB1, 0x9463,
+ 0xBADB, 0x9447,
+ 0xBB05, 0x942C,
+ 0xBB30, 0x9411,
+ 0xBB5A, 0x93F6,
+ 0xBB85, 0x93DB,
+ 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, 10672,10856, 10680,14952, 10688,11344,
+ 10696,12752, 10704,11368, 10712,15464, 10720,11352, 10728,14800,
+ 10736,11880, 10744,15976, 10752,14336, 10760,14368, 10768,14464,
+ 10776,12456, 10784,14344, 10792,14376, 10800,14472, 10808,12968,
+ 10816,15360, 10824,15392, 10832,15488, 10840,13480, 10848,15368,
+ 10856,15400, 10864,15496, 10872,13992, 10880,14352, 10888,12440,
+ 10896,14480, 10904,14504, 10912,14360, 10920,14488, 10928,14488,
+ 10936,15016, 10944,15376, 10952,12504, 10960,11432, 10968,15528,
+ 10976,15384, 10984,14552, 10992,11944, 11000,16040, 11008,14400,
+ 11016,14432, 11024,14528, 11032,12520, 11040,14408, 11048,14440,
+ 11056,14536, 11064,13032, 11072,15424, 11080,15456, 11088,15552,
+ 11096,13544, 11104,15432, 11112,15464, 11120,15560, 11128,14056,
+ 11136,14416, 11144,12696, 11152,14544, 11160,14568, 11168,14424,
+ 11176,14744, 11184,14552, 11192,15080, 11200,15440, 11208,12760,
+ 11216,11496, 11224,15592, 11232,15448, 11240,14808, 11248,12008,
+ 11256,16104, 11272,11296, 11280,11392, 11288,12584, 11304,11408,
+ 11312,12688, 11320,13096, 11328,11520, 11336,11552, 11344,11648,
+ 11352,13608, 11360,11528, 11368,11472, 11376,11656, 11384,14120,
+ 11400,13456, 11416,14632, 11424,12392, 11432,15504, 11440,14440,
+ 11448,15144, 11456,11536, 11464,13520, 11472,11560, 11480,15656,
+ 11488,11544, 11496,15568, 11504,12072, 11512,16168, 11528,11552,
+ 11536,11648, 11544,12648, 11560,11664, 11568,12752, 11576,13160,
+ 11592,11616, 11600,11712, 11608,13672, 11624,11728, 11632,11720,
+ 11640,14184, 11656,13712, 11672,14696, 11680,13416, 11688,15760,
+ 11696,15464, 11704,15208, 11720,13776, 11736,15720, 11744,13672,
+ 11752,15824, 11760,12136, 11768,16232, 11776,14592, 11784,14624,
+ 11792,14720, 11800,12712, 11808,14600, 11816,14632, 11824,14728,
+ 11832,13224, 11840,15616, 11848,15648, 11856,15744, 11864,13736,
+ 11872,15624, 11880,15656, 11888,15752, 11896,14248, 11904,14608,
+ 11912,13464, 11920,14736, 11928,14760, 11936,14616, 11944,15512,
+ 11952,14744, 11960,15272, 11968,15632, 11976,13528, 11984,15760,
+ 11992,15784, 12000,15640, 12008,15576, 12016,12200, 12024,16296,
+ 12032,14656, 12040,14688, 12048,14784, 12056,12776, 12064,14664,
+ 12072,14696, 12080,14792, 12088,13288, 12096,15680, 12104,15712,
+ 12112,15808, 12120,13800, 12128,15688, 12136,15720, 12144,15816,
+ 12152,14312, 12160,14672, 12168,13720, 12176,14800, 12184,14824,
+ 12192,14680, 12200,15768, 12208,14808, 12216,15336, 12224,15696,
+ 12232,13784, 12240,15824, 12248,15848, 12256,15704, 12264,15832,
+ 12272,15832, 12280,16360, 12312,12336, 12344,12848, 12352,12544,
+ 12360,12552, 12368,12560, 12376,13360, 12384,12576, 12392,12584,
+ 12400,13336, 12408,13872, 12424,12448, 12440,14384, 12456,14496,
+ 12464,14472, 12472,14896, 12480,12672, 12488,12512, 12496,12688,
+ 12504,15408, 12512,12680, 12520,14560, 12528,14728, 12536,15920,
+ 12544,13312, 12552,13320, 12560,13328, 12568,13336, 12576,13344,
+ 12584,13352, 12592,13360, 12600,12912, 12608,13568, 12616,13576,
+ 12624,13584, 12632,13424, 12640,13600, 12648,13608, 12656,13400,
+ 12664,13936, 12672,13440, 12680,12704, 12688,13456, 12696,14448,
+ 12704,13448, 12712,14752, 12720,15496, 12728,14960, 12736,13696,
+ 12744,12768, 12752,13712, 12760,15472, 12768,13704, 12776,14816,
+ 12784,15752, 12792,15984, 12800,14336, 12808,14464, 12816,14344,
+ 12824,14472, 12832,14352, 12840,14480, 12848,14360, 12856,12976,
+ 12864,14400, 12872,14528, 12880,14408, 12888,13488, 12896,14416,
+ 12904,14544, 12912,14424, 12920,14000, 12928,14368, 12936,14496,
+ 12944,14376, 12952,14512, 12960,14384, 12968,14504, 12976,14488,
+ 12984,15024, 12992,14432, 13000,14560, 13008,14440, 13016,15536,
+ 13024,14448, 13032,14568, 13040,14744, 13048,16048, 13056,14592,
+ 13064,14720, 13072,14600, 13080,14728, 13088,14608, 13096,14736,
+ 13104,14616, 13112,14744, 13120,14656, 13128,14784, 13136,14664,
+ 13144,13552, 13152,14672, 13160,14800, 13168,14680, 13176,14064,
+ 13184,14624, 13192,14752, 13200,14632, 13208,14576, 13216,13464,
+ 13224,14760, 13232,15512, 13240,15088, 13248,14688, 13256,14816,
+ 13264,14696, 13272,15600, 13280,13720, 13288,14824, 13296,15768,
+ 13304,16112, 13336,13360, 13368,14616, 13376,13568, 13384,13576,
+ 13392,13584, 13400,13616, 13408,13600, 13416,13608, 13424,13592,
+ 13432,14128, 13448,13472, 13464,14640, 13480,15520, 13488,14536,
+ 13496,15152, 13504,13696, 13512,13536, 13520,13712, 13528,15664,
+ 13536,13704, 13544,15584, 13552,14792, 13560,16176, 13592,13616,
+ 13624,14680, 13656,13680, 13688,14192, 13704,13728, 13720,14704,
+ 13736,15776, 13744,15560, 13752,15216, 13768,13792, 13784,15728,
+ 13800,15840, 13808,15816, 13816,16240, 13824,15360, 13832,15488,
+ 13840,15368, 13848,15496, 13856,15376, 13864,15504, 13872,15384,
+ 13880,15512, 13888,15424, 13896,15552, 13904,15432, 13912,15560,
+ 13920,15440, 13928,15568, 13936,15448, 13944,14256, 13952,15392,
+ 13960,15520, 13968,15400, 13976,14768, 13984,15408, 13992,15528,
+ 14000,14552, 14008,15280, 14016,15456, 14024,15584, 14032,15464,
+ 14040,15792, 14048,15472, 14056,15592, 14064,14808, 14072,16304,
+ 14080,15616, 14088,15744, 14096,15624, 14104,15752, 14112,15632,
+ 14120,15760, 14128,15640, 14136,15768, 14144,15680, 14152,15808,
+ 14160,15688, 14168,15816, 14176,15696, 14184,15824, 14192,15704,
+ 14200,14320, 14208,15648, 14216,15776, 14224,15656, 14232,14832,
+ 14240,15664, 14248,15784, 14256,15576, 14264,15344, 14272,15712,
+ 14280,15840, 14288,15720, 14296,15856, 14304,15728, 14312,15848,
+ 14320,15832, 14328,16368, 14392,14488, 14400,14592, 14408,14600,
+ 14416,14608, 14424,14616, 14432,14624, 14440,14632, 14448,14640,
+ 14456,15512, 14504,14512, 14520,14904, 14528,14720, 14536,14728,
+ 14544,14736, 14552,15416, 14560,14752, 14568,14576, 14584,15928,
+ 14576,14760, 14592,15360, 14600,15368, 14608,15376, 14616,15384,
+ 14624,15392, 14632,15400, 14640,15408, 14648,15416, 14656,15616,
+ 14664,15624, 14672,15632, 14680,15640, 14688,15648, 14696,15656,
+ 14704,15664, 14712,15576, 14720,15488, 14728,15496, 14736,15504,
+ 14744,15512, 14752,15520, 14760,14768, 14776,14968, 14768,15528,
+ 14784,15744, 14792,15752, 14800,15760, 14808,15480, 14816,15776,
+ 14824,14832, 14840,15992, 14832,15784, 14856,14864, 14864,14880,
+ 14872,14896, 14880,14976, 14888,14992, 14896,15008, 14904,15024,
+ 14912,15104, 14920,15120, 14928,15136, 14936,15152, 14944,15232,
+ 14952,15248, 14960,15264, 14968,15280, 14984,15008, 15000,15024,
+ 15016,15024, 15040,15112, 15048,15128, 15056,15144, 15064,15544,
+ 15072,15240, 15080,15256, 15088,15272, 15096,16056, 15104,15872,
+ 15112,15888, 15120,15904, 15128,15920, 15136,16000, 15144,16016,
+ 15152,16032, 15160,16048, 15168,16128, 15176,16144, 15184,16160,
+ 15192,16176, 15200,16256, 15208,16272, 15216,16288, 15224,16304,
+ 15232,15880, 15240,15896, 15248,15912, 15256,15928, 15264,16008,
+ 15272,16024, 15280,16040, 15288,16056, 15296,16136, 15304,16152,
+ 15312,16168, 15320,15608, 15328,16264, 15336,16280, 15344,16296,
+ 15352,16120, 15416,15512, 15424,15616, 15432,15624, 15440,15632,
+ 15448,15640, 15456,15648, 15464,15656, 15472,15664, 15480,15768,
+ 15528,15536, 15544,16048, 15552,15744, 15560,15752, 15568,15760,
+ 15576,15672, 15584,15776, 15592,15600, 15600,15784, 15608,16184,
+ 15672,15768, 15736,15832, 15784,15792, 15800,16304, 15848,15856,
+ 15880,16000, 15864,16248, 15888,16000, 15896,16008, 15904,16000,
+ 15912,16016, 15920,16008, 15928,16024, 15936,16128, 15944,16160,
+ 15952,16256, 15960,16288, 15968,16136, 15976,16168, 15984,16264,
+ 15992,16296, 16008,16032, 16024,16040, 16064,16144, 16040,16048,
+ 16072,16176, 16080,16272, 16088,16304, 16096,16152, 16104,16184,
+ 16112,16280, 16136,16256, 16120,16312, 16144,16256, 16152,16264,
+ 16160,16256, 16168,16272, 16176,16264, 16184,16280, 16200,16208,
+ 16208,16224, 16216,16240, 16224,16320, 16232,16336, 16240,16352,
+ 16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368,
+ 16328,16352, 16360,16368
+};
+
+const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE4096_TABLE_LENGTH] =
+{
+ //radix 8, size 4032
+ 8,4096, 16,8192, 24,12288, 32,16384, 40,20480, 48,24576, 56,28672, 64,512,
+ 72,4608, 80,8704, 88,12800, 96,16896, 104,20992, 112,25088, 120,29184,
+ 128,1024, 136,5120, 144,9216, 152,13312, 160,17408, 168,21504, 176,25600,
+ 184,29696, 192,1536, 200,5632, 208,9728, 216,13824, 224,17920, 232,22016,
+ 240,26112, 248,30208, 256,2048, 264,6144, 272,10240, 280,14336, 288,18432,
+ 296,22528, 304,26624, 312,30720, 320,2560, 328,6656, 336,10752, 344,14848,
+ 352,18944, 360,23040, 368,27136, 376,31232, 384,3072, 392,7168, 400,11264,
+ 408,15360, 416,19456, 424,23552, 432,27648, 440,31744, 448,3584, 456,7680,
+ 464,11776, 472,15872, 480,19968, 488,24064, 496,28160, 504,32256, 520,4160,
+ 528,8256, 536,12352, 544,16448, 552,20544, 560,24640, 568,28736, 584,4672,
+ 592,8768, 600,12864, 608,16960, 616,21056, 624,25152, 632,29248, 640,1088,
+ 648,5184, 656,9280, 664,13376, 672,17472, 680,21568, 688,25664, 696,29760,
+ 704,1600, 712,5696, 720,9792, 728,13888, 736,17984, 744,22080, 752,26176,
+ 760,30272, 768,2112, 776,6208, 784,10304, 792,14400, 800,18496, 808,22592,
+ 816,26688, 824,30784, 832,2624, 840,6720, 848,10816, 856,14912, 864,19008,
+ 872,23104, 880,27200, 888,31296, 896,3136, 904,7232, 912,11328, 920,15424,
+ 928,19520, 936,23616, 944,27712, 952,31808, 960,3648, 968,7744, 976,11840,
+ 984,15936, 992,20032, 1000,24128, 1008,28224, 1016,32320, 1032,4224,
+ 1040,8320, 1048,12416, 1056,16512, 1064,20608, 1072,24704, 1080,28800,
+ 1096,4736, 1104,8832, 1112,12928, 1120,17024, 1128,21120, 1136,25216,
+ 1144,29312, 1160,5248, 1168,9344, 1176,13440, 1184,17536, 1192,21632,
+ 1200,25728, 1208,29824, 1216,1664, 1224,5760, 1232,9856, 1240,13952,
+ 1248,18048, 1256,22144, 1264,26240, 1272,30336, 1280,2176, 1288,6272,
+ 1296,10368, 1304,14464, 1312,18560, 1320,22656, 1328,26752, 1336,30848,
+ 1344,2688, 1352,6784, 1360,10880, 1368,14976, 1376,19072, 1384,23168,
+ 1392,27264, 1400,31360, 1408,3200, 1416,7296, 1424,11392, 1432,15488,
+ 1440,19584, 1448,23680, 1456,27776, 1464,31872, 1472,3712, 1480,7808,
+ 1488,11904, 1496,16000, 1504,20096, 1512,24192, 1520,28288, 1528,32384,
+ 1544,4288, 1552,8384, 1560,12480, 1568,16576, 1576,20672, 1584,24768,
+ 1592,28864, 1608,4800, 1616,8896, 1624,12992, 1632,17088, 1640,21184,
+ 1648,25280, 1656,29376, 1672,5312, 1680,9408, 1688,13504, 1696,17600,
+ 1704,21696, 1712,25792, 1720,29888, 1736,5824, 1744,9920, 1752,14016,
+ 1760,18112, 1768,22208, 1776,26304, 1784,30400, 1792,2240, 1800,6336,
+ 1808,10432, 1816,14528, 1824,18624, 1832,22720, 1840,26816, 1848,30912,
+ 1856,2752, 1864,6848, 1872,10944, 1880,15040, 1888,19136, 1896,23232,
+ 1904,27328, 1912,31424, 1920,3264, 1928,7360, 1936,11456, 1944,15552,
+ 1952,19648, 1960,23744, 1968,27840, 1976,31936, 1984,3776, 1992,7872,
+ 2000,11968, 2008,16064, 2016,20160, 2024,24256, 2032,28352, 2040,32448,
+ 2056,4352, 2064,8448, 2072,12544, 2080,16640, 2088,20736, 2096,24832,
+ 2104,28928, 2120,4864, 2128,8960, 2136,13056, 2144,17152, 2152,21248,
+ 2160,25344, 2168,29440, 2184,5376, 2192,9472, 2200,13568, 2208,17664,
+ 2216,21760, 2224,25856, 2232,29952, 2248,5888, 2256,9984, 2264,14080,
+ 2272,18176, 2280,22272, 2288,26368, 2296,30464, 2312,6400, 2320,10496,
+ 2328,14592, 2336,18688, 2344,22784, 2352,26880, 2360,30976, 2368,2816,
+ 2376,6912, 2384,11008, 2392,15104, 2400,19200, 2408,23296, 2416,27392,
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+ 16312,32216, 16352,20440, 16360,24536, 16368,28632, 16376,32728,
+ 16424,20512, 16432,24608, 16440,28704, 16480,16928, 16488,21024,
+ 16496,25120, 16504,29216, 16544,17440, 16552,21536, 16560,25632,
+ 16568,29728, 16608,17952, 16616,22048, 16624,26144, 16632,30240,
+ 16672,18464, 16680,22560, 16688,26656, 16696,30752, 16736,18976,
+ 16744,23072, 16752,27168, 16760,31264, 16800,19488, 16808,23584,
+ 16816,27680, 16824,31776, 16864,20000, 16872,24096, 16880,28192,
+ 16888,32288, 16936,20576, 16944,24672, 16952,28768, 17000,21088,
+ 17008,25184, 17016,29280, 17056,17504, 17064,21600, 17072,25696,
+ 17080,29792, 17120,18016, 17128,22112, 17136,26208, 17144,30304,
+ 17184,18528, 17192,22624, 17200,26720, 17208,30816, 17248,19040,
+ 17256,23136, 17264,27232, 17272,31328, 17312,19552, 17320,23648,
+ 17328,27744, 17336,31840, 17376,20064, 17384,24160, 17392,28256,
+ 17400,32352, 17448,20640, 17456,24736, 17464,28832, 17512,21152,
+ 17520,25248, 17528,29344, 17576,21664, 17584,25760, 17592,29856,
+ 17632,18080, 17640,22176, 17648,26272, 17656,30368, 17696,18592,
+ 17704,22688, 17712,26784, 17720,30880, 17760,19104, 17768,23200,
+ 17776,27296, 17784,31392, 17824,19616, 17832,23712, 17840,27808,
+ 17848,31904, 17888,20128, 17896,24224, 17904,28320, 17912,32416,
+ 17960,20704, 17968,24800, 17976,28896, 18024,21216, 18032,25312,
+ 18040,29408, 18088,21728, 18096,25824, 18104,29920, 18152,22240,
+ 18160,26336, 18168,30432, 18208,18656, 18216,22752, 18224,26848,
+ 18232,30944, 18272,19168, 18280,23264, 18288,27360, 18296,31456,
+ 18336,19680, 18344,23776, 18352,27872, 18360,31968, 18400,20192,
+ 18408,24288, 18416,28384, 18424,32480, 18472,20768, 18480,24864,
+ 18488,28960, 18536,21280, 18544,25376, 18552,29472, 18600,21792,
+ 18608,25888, 18616,29984, 18664,22304, 18672,26400, 18680,30496,
+ 18728,22816, 18736,26912, 18744,31008, 18784,19232, 18792,23328,
+ 18800,27424, 18808,31520, 18848,19744, 18856,23840, 18864,27936,
+ 18872,32032, 18912,20256, 18920,24352, 18928,28448, 18936,32544,
+ 18984,20832, 18992,24928, 19000,29024, 19048,21344, 19056,25440,
+ 19064,29536, 19112,21856, 19120,25952, 19128,30048, 19176,22368,
+ 19184,26464, 19192,30560, 19240,22880, 19248,26976, 19256,31072,
+ 19304,23392, 19312,27488, 19320,31584, 19360,19808, 19368,23904,
+ 19376,28000, 19384,32096, 19424,20320, 19432,24416, 19440,28512,
+ 19448,32608, 19496,20896, 19504,24992, 19512,29088, 19560,21408,
+ 19568,25504, 19576,29600, 19624,21920, 19632,26016, 19640,30112,
+ 19688,22432, 19696,26528, 19704,30624, 19752,22944, 19760,27040,
+ 19768,31136, 19816,23456, 19824,27552, 19832,31648, 19880,23968,
+ 19888,28064, 19896,32160, 19936,20384, 19944,24480, 19952,28576,
+ 19960,32672, 20008,20960, 20016,25056, 20024,29152, 20072,21472,
+ 20080,25568, 20088,29664, 20136,21984, 20144,26080, 20152,30176,
+ 20200,22496, 20208,26592, 20216,30688, 20264,23008, 20272,27104,
+ 20280,31200, 20328,23520, 20336,27616, 20344,31712, 20392,24032,
+ 20400,28128, 20408,32224, 20456,24544, 20464,28640, 20472,32736,
+ 20528,24616, 20536,28712, 20584,21032, 20592,25128, 20600,29224,
+ 20648,21544, 20656,25640, 20664,29736, 20712,22056, 20720,26152,
+ 20728,30248, 20776,22568, 20784,26664, 20792,30760, 20840,23080,
+ 20848,27176, 20856,31272, 20904,23592, 20912,27688, 20920,31784,
+ 20968,24104, 20976,28200, 20984,32296, 21040,24680, 21048,28776,
+ 21104,25192, 21112,29288, 21160,21608, 21168,25704, 21176,29800,
+ 21224,22120, 21232,26216, 21240,30312, 21288,22632, 21296,26728,
+ 21304,30824, 21352,23144, 21360,27240, 21368,31336, 21416,23656,
+ 21424,27752, 21432,31848, 21480,24168, 21488,28264, 21496,32360,
+ 21552,24744, 21560,28840, 21616,25256, 21624,29352, 21680,25768,
+ 21688,29864, 21736,22184, 21744,26280, 21752,30376, 21800,22696,
+ 21808,26792, 21816,30888, 21864,23208, 21872,27304, 21880,31400,
+ 21928,23720, 21936,27816, 21944,31912, 21992,24232, 22000,28328,
+ 22008,32424, 22064,24808, 22072,28904, 22128,25320, 22136,29416,
+ 22192,25832, 22200,29928, 22256,26344, 22264,30440, 22312,22760,
+ 22320,26856, 22328,30952, 22376,23272, 22384,27368, 22392,31464,
+ 22440,23784, 22448,27880, 22456,31976, 22504,24296, 22512,28392,
+ 22520,32488, 22576,24872, 22584,28968, 22640,25384, 22648,29480,
+ 22704,25896, 22712,29992, 22768,26408, 22776,30504, 22832,26920,
+ 22840,31016, 22888,23336, 22896,27432, 22904,31528, 22952,23848,
+ 22960,27944, 22968,32040, 23016,24360, 23024,28456, 23032,32552,
+ 23088,24936, 23096,29032, 23152,25448, 23160,29544, 23216,25960,
+ 23224,30056, 23280,26472, 23288,30568, 23344,26984, 23352,31080,
+ 23408,27496, 23416,31592, 23464,23912, 23472,28008, 23480,32104,
+ 23528,24424, 23536,28520, 23544,32616, 23600,25000, 23608,29096,
+ 23664,25512, 23672,29608, 23728,26024, 23736,30120, 23792,26536,
+ 23800,30632, 23856,27048, 23864,31144, 23920,27560, 23928,31656,
+ 23984,28072, 23992,32168, 24040,24488, 24048,28584, 24056,32680,
+ 24112,25064, 24120,29160, 24176,25576, 24184,29672, 24240,26088,
+ 24248,30184, 24304,26600, 24312,30696, 24368,27112, 24376,31208,
+ 24432,27624, 24440,31720, 24496,28136, 24504,32232, 24560,28648,
+ 24568,32744, 24632,28720, 24688,25136, 24696,29232, 24752,25648,
+ 24760,29744, 24816,26160, 24824,30256, 24880,26672, 24888,30768,
+ 24944,27184, 24952,31280, 25008,27696, 25016,31792, 25072,28208,
+ 25080,32304, 25144,28784, 25208,29296, 25264,25712, 25272,29808,
+ 25328,26224, 25336,30320, 25392,26736, 25400,30832, 25456,27248,
+ 25464,31344, 25520,27760, 25528,31856, 25584,28272, 25592,32368,
+ 25656,28848, 25720,29360, 25784,29872, 25840,26288, 25848,30384,
+ 25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824,
+ 26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424,
+ 26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376,
+ 26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496,
+ 26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024,
+ 26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464,
+ 27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576,
+ 27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528,
+ 27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640,
+ 27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688,
+ 28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216,
+ 28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752,
+ 28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312,
+ 29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864,
+ 29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928,
+ 30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504,
+ 31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632,
+ 32248,32696
+};
+
+
+const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH] =
+{
+ //radix 4, size 12
+ 8,64, 16,32, 24,96, 40,80, 56,112, 88,104
+};
+
+const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH] =
+{
+ //4x2, size 24
+ 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144,
+ 88,208, 104,176, 120,240, 152,200, 184,232
+};
+
+const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH] =
+{
+ //radix 4, size 56
+ 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352,
+ 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432,
+ 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472
+};
+
+const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH] =
+{
+ //4x2, size 112
+ 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192,
+ 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608,
+ 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912,
+ 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624,
+ 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968,
+ 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984
+};
+
+const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH] =
+{
+ //radix 4, size 240
+ 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640,
+ 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320,
+ 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960,
+ 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672,
+ 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376,
+ 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040,
+ 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912,
+ 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488,
+ 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456,
+ 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520,
+ 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928,
+ 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832,
+ 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816,
+ 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976
+};
+
+const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH] =
+{
+ //4x2, size 480
+ 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280,
+ 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640,
+ 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944,
+ 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648,
+ 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216,
+ 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960,
+ 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616,
+ 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184,
+ 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976,
+ 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400,
+ 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784,
+ 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064,
+ 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344,
+ 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728,
+ 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152,
+ 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920,
+ 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024,
+ 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376,
+ 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480,
+ 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696,
+ 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824,
+ 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312,
+ 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464,
+ 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912,
+ 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624,
+ 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008,
+ 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072,
+ 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928,
+ 3512,3800, 3576,4056, 3704,3896, 3832,4024
+};
+
+const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH] =
+{
+ //radix 4, size 992
+ 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608,
+ 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352,
+ 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864,
+ 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176,
+ 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688,
+ 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528,
+ 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040,
+ 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088,
+ 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696,
+ 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392,
+ 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904,
+ 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360,
+ 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544,
+ 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008,
+ 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080,
+ 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688,
+ 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432,
+ 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944,
+ 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304,
+ 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696,
+ 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536,
+ 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048,
+ 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168,
+ 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776,
+ 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960,
+ 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320,
+ 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784,
+ 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624,
+ 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112,
+ 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184,
+ 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368,
+ 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832,
+ 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264,
+ 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728,
+ 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008,
+ 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224,
+ 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664,
+ 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944,
+ 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352,
+ 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792,
+ 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072,
+ 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168,
+ 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400,
+ 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936,
+ 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784,
+ 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552,
+ 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208,
+ 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792,
+ 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000,
+ 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848,
+ 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664,
+ 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176,
+ 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384,
+ 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256,
+ 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512,
+ 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192,
+ 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496,
+ 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368,
+ 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112,
+ 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720,
+ 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312,
+ 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080,
+ 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504,
+ 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888,
+ 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680,
+ 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808,
+ 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512,
+ 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736,
+ 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056
+};
+
+const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH] =
+{
+ //4x2, size 1984
+ 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024,
+ 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512,
+ 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848,
+ 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680,
+ 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400,
+ 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520,
+ 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816,
+ 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080,
+ 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416,
+ 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248,
+ 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736,
+ 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856,
+ 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576,
+ 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408,
+ 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744,
+ 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232,
+ 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064,
+ 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208,
+ 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232,
+ 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720,
+ 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840,
+ 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560,
+ 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584,
+ 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072,
+ 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904,
+ 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240,
+ 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264,
+ 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752,
+ 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776,
+ 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496,
+ 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520,
+ 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008,
+ 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032,
+ 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272,
+ 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296,
+ 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784,
+ 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808,
+ 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432,
+ 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456,
+ 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944,
+ 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968,
+ 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496,
+ 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520,
+ 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888,
+ 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608,
+ 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536,
+ 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024,
+ 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048,
+ 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192,
+ 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408,
+ 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848,
+ 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872,
+ 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496,
+ 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712,
+ 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080,
+ 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416,
+ 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344,
+ 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024,
+ 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000,
+ 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624,
+ 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840,
+ 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208,
+ 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304,
+ 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280,
+ 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672,
+ 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888,
+ 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392,
+ 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072,
+ 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096,
+ 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288,
+ 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504,
+ 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776,
+ 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688,
+ 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664,
+ 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248,
+ 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272,
+ 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392,
+ 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736,
+ 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952,
+ 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648,
+ 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992,
+ 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016,
+ 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424,
+ 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008,
+ 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888,
+ 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680,
+ 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264,
+ 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240,
+ 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264,
+ 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848,
+ 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728,
+ 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520,
+ 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104,
+ 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080,
+ 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392,
+ 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976,
+ 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856,
+ 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648,
+ 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232,
+ 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112,
+ 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328,
+ 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864,
+ 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560,
+ 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632,
+ 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096,
+ 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528,
+ 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600,
+ 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064,
+ 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832,
+ 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296,
+ 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368,
+ 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272,
+ 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736,
+ 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600,
+ 8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064,
+ 8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136,
+ 8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400,
+ 8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960,
+ 8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608,
+ 9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240,
+ 9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312,
+ 9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824,
+ 9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616,
+ 9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128,
+ 9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200,
+ 9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560,
+ 9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072,
+ 10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816,
+ 10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328,
+ 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840,
+ 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584,
+ 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048,
+ 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504,
+ 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992,
+ 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688,
+ 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296,
+ 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952,
+ 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672,
+ 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232,
+ 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080,
+ 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848,
+ 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336,
+ 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616,
+ 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152,
+ 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024,
+ 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280,
+ 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680,
+ 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576,
+ 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344,
+ 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184,
+ 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248
+};
+
+const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH] =
+{
+ //radix 4, size 4032
+ 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048,
+ 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720,
+ 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312,
+ 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552,
+ 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608,
+ 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136,
+ 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728,
+ 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968,
+ 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640,
+ 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304,
+ 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976,
+ 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568,
+ 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808,
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+ 13720,26288, 13736,22192, 13744,14000, 13752,30384, 13768,20144, 13784,28336,
+ 13800,24240, 13808,16048, 13816,32432, 13832,16816, 13848,25008, 13864,20912,
+ 13880,29104, 13896,18864, 13912,27056, 13928,22960, 13936,14768, 13944,31152,
+ 13960,17840, 13976,26032, 13992,21936, 14008,30128, 14024,19888, 14040,28080,
+ 14056,23984, 14064,15792, 14072,32176, 14088,17328, 14104,25520, 14120,21424,
+ 14136,29616, 14152,19376, 14168,27568, 14184,23472, 14192,15280, 14200,31664,
+ 14216,18352, 14232,26544, 14248,22448, 14264,30640, 14280,20400, 14296,28592,
+ 14312,24496, 14320,16304, 14328,32688, 14344,16496, 14360,24688, 14376,20592,
+ 14392,28784, 14408,18544, 14424,26736, 14440,22640, 14456,30832, 14472,17520,
+ 14488,25712, 14504,21616, 14520,29808, 14536,19568, 14552,27760, 14568,23664,
+ 14576,15472, 14584,31856, 14600,17008, 14616,25200, 14632,21104, 14648,29296,
+ 14664,19056, 14680,27248, 14696,23152, 14704,14960, 14712,31344, 14728,18032,
+ 14744,26224, 14760,22128, 14776,30320, 14792,20080, 14808,28272, 14824,24176,
+ 14832,15984, 14840,32368, 14856,16752, 14872,24944, 14888,20848, 14904,29040,
+ 14920,18800, 14936,26992, 14952,22896, 14968,31088, 14984,17776, 15000,25968,
+ 15016,21872, 15032,30064, 15048,19824, 15064,28016, 15080,23920, 15088,15728,
+ 15096,32112, 15112,17264, 15128,25456, 15144,21360, 15160,29552, 15176,19312,
+ 15192,27504, 15208,23408, 15224,31600, 15240,18288, 15256,26480, 15272,22384,
+ 15288,30576, 15304,20336, 15320,28528, 15336,24432, 15344,16240, 15352,32624,
+ 15368,16624, 15384,24816, 15400,20720, 15416,28912, 15432,18672, 15448,26864,
+ 15464,22768, 15480,30960, 15496,17648, 15512,25840, 15528,21744, 15544,29936,
+ 15560,19696, 15576,27888, 15592,23792, 15608,31984, 15624,17136, 15640,25328,
+ 15656,21232, 15672,29424, 15688,19184, 15704,27376, 15720,23280, 15736,31472,
+ 15752,18160, 15768,26352, 15784,22256, 15800,30448, 15816,20208, 15832,28400,
+ 15848,24304, 15856,16112, 15864,32496, 15880,16880, 15896,25072, 15912,20976,
+ 15928,29168, 15944,18928, 15960,27120, 15976,23024, 15992,31216, 16008,17904,
+ 16024,26096, 16040,22000, 16056,30192, 16072,19952, 16088,28144, 16104,24048,
+ 16120,32240, 16136,17392, 16152,25584, 16168,21488, 16184,29680, 16200,19440,
+ 16216,27632, 16232,23536, 16248,31728, 16264,18416, 16280,26608, 16296,22512,
+ 16312,30704, 16328,20464, 16344,28656, 16360,24560, 16376,32752, 16408,24584,
+ 16424,20488, 16440,28680, 16456,18440, 16472,26632, 16488,22536, 16504,30728,
+ 16520,17416, 16536,25608, 16552,21512, 16568,29704, 16584,19464, 16600,27656,
+ 16616,23560, 16632,31752, 16648,16904, 16664,25096, 16680,21000, 16696,29192,
+ 16712,18952, 16728,27144, 16744,23048, 16760,31240, 16776,17928, 16792,26120,
+ 16808,22024, 16824,30216, 16840,19976, 16856,28168, 16872,24072, 16888,32264,
+ 16920,24840, 16936,20744, 16952,28936, 16968,18696, 16984,26888, 17000,22792,
+ 17016,30984, 17032,17672, 17048,25864, 17064,21768, 17080,29960, 17096,19720,
+ 17112,27912, 17128,23816, 17144,32008, 17176,25352, 17192,21256, 17208,29448,
+ 17224,19208, 17240,27400, 17256,23304, 17272,31496, 17288,18184, 17304,26376,
+ 17320,22280, 17336,30472, 17352,20232, 17368,28424, 17384,24328, 17400,32520,
+ 17432,24712, 17448,20616, 17464,28808, 17480,18568, 17496,26760, 17512,22664,
+ 17528,30856, 17560,25736, 17576,21640, 17592,29832, 17608,19592, 17624,27784,
+ 17640,23688, 17656,31880, 17688,25224, 17704,21128, 17720,29320, 17736,19080,
+ 17752,27272, 17768,23176, 17784,31368, 17800,18056, 17816,26248, 17832,22152,
+ 17848,30344, 17864,20104, 17880,28296, 17896,24200, 17912,32392, 17944,24968,
+ 17960,20872, 17976,29064, 17992,18824, 18008,27016, 18024,22920, 18040,31112,
+ 18072,25992, 18088,21896, 18104,30088, 18120,19848, 18136,28040, 18152,23944,
+ 18168,32136, 18200,25480, 18216,21384, 18232,29576, 18248,19336, 18264,27528,
+ 18280,23432, 18296,31624, 18328,26504, 18344,22408, 18360,30600, 18376,20360,
+ 18392,28552, 18408,24456, 18424,32648, 18456,24648, 18472,20552, 18488,28744,
+ 18520,26696, 18536,22600, 18552,30792, 18584,25672, 18600,21576, 18616,29768,
+ 18632,19528, 18648,27720, 18664,23624, 18680,31816, 18712,25160, 18728,21064,
+ 18744,29256, 18760,19016, 18776,27208, 18792,23112, 18808,31304, 18840,26184,
+ 18856,22088, 18872,30280, 18888,20040, 18904,28232, 18920,24136, 18936,32328,
+ 18968,24904, 18984,20808, 19000,29000, 19032,26952, 19048,22856, 19064,31048,
+ 19096,25928, 19112,21832, 19128,30024, 19144,19784, 19160,27976, 19176,23880,
+ 19192,32072, 19224,25416, 19240,21320, 19256,29512, 19288,27464, 19304,23368,
+ 19320,31560, 19352,26440, 19368,22344, 19384,30536, 19400,20296, 19416,28488,
+ 19432,24392, 19448,32584, 19480,24776, 19496,20680, 19512,28872, 19544,26824,
+ 19560,22728, 19576,30920, 19608,25800, 19624,21704, 19640,29896, 19672,27848,
+ 19688,23752, 19704,31944, 19736,25288, 19752,21192, 19768,29384, 19800,27336,
+ 19816,23240, 19832,31432, 19864,26312, 19880,22216, 19896,30408, 19912,20168,
+ 19928,28360, 19944,24264, 19960,32456, 19992,25032, 20008,20936, 20024,29128,
+ 20056,27080, 20072,22984, 20088,31176, 20120,26056, 20136,21960, 20152,30152,
+ 20184,28104, 20200,24008, 20216,32200, 20248,25544, 20264,21448, 20280,29640,
+ 20312,27592, 20328,23496, 20344,31688, 20376,26568, 20392,22472, 20408,30664,
+ 20440,28616, 20456,24520, 20472,32712, 20504,24616, 20536,28712, 20568,26664,
+ 20584,22568, 20600,30760, 20632,25640, 20648,21544, 20664,29736, 20696,27688,
+ 20712,23592, 20728,31784, 20760,25128, 20776,21032, 20792,29224, 20824,27176,
+ 20840,23080, 20856,31272, 20888,26152, 20904,22056, 20920,30248, 20952,28200,
+ 20968,24104, 20984,32296, 21016,24872, 21048,28968, 21080,26920, 21096,22824,
+ 21112,31016, 21144,25896, 21160,21800, 21176,29992, 21208,27944, 21224,23848,
+ 21240,32040, 21272,25384, 21304,29480, 21336,27432, 21352,23336, 21368,31528,
+ 21400,26408, 21416,22312, 21432,30504, 21464,28456, 21480,24360, 21496,32552,
+ 21528,24744, 21560,28840, 21592,26792, 21608,22696, 21624,30888, 21656,25768,
+ 21688,29864, 21720,27816, 21736,23720, 21752,31912, 21784,25256, 21816,29352,
+ 21848,27304, 21864,23208, 21880,31400, 21912,26280, 21928,22184, 21944,30376,
+ 21976,28328, 21992,24232, 22008,32424, 22040,25000, 22072,29096, 22104,27048,
+ 22120,22952, 22136,31144, 22168,26024, 22200,30120, 22232,28072, 22248,23976,
+ 22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656,
+ 22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680,
+ 22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752,
+ 22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144,
+ 22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360,
+ 23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056,
+ 23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496,
+ 23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616,
+ 23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928,
+ 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464,
+ 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064,
+ 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136,
+ 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600,
+ 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744,
+ 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208,
+ 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280,
+ 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928,
+ 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488,
+ 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848,
+ 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264,
+ 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128,
+ 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640,
+ 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784,
+ 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296,
+ 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992,
+ 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600,
+ 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448,
+ 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168,
+ 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776,
+ 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312,
+ 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568,
+ 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160,
+ 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376,
+ 31480,32120, 31736,32632, 32248,32504
+};
+
+/**
+* \par
+* Example code for Floating-point RFFT Twiddle factors Generation:
+* \par
+* <pre>TW = exp(2*pi*i*[0:L/2-1]/L - pi/2*i).' </pre>
+* \par
+* Real and Imag values are in interleaved fashion
+*/
+const float32_t twiddleCoef_rfft_32[32] = {
+0.0f , 1.0f ,
+0.195090322f , 0.98078528f ,
+0.382683432f , 0.923879533f ,
+0.555570233f , 0.831469612f ,
+0.707106781f , 0.707106781f ,
+0.831469612f , 0.555570233f ,
+0.923879533f , 0.382683432f ,
+0.98078528f , 0.195090322f ,
+1.0f , 0.0f ,
+0.98078528f , -0.195090322f ,
+0.923879533f , -0.382683432f ,
+0.831469612f , -0.555570233f ,
+0.707106781f , -0.707106781f ,
+0.555570233f , -0.831469612f ,
+0.382683432f , -0.923879533f ,
+0.195090322f , -0.98078528f
+};
+
+const float32_t twiddleCoef_rfft_64[64] = {
+0.0f, 1.0f,
+0.098017140329561f, 0.995184726672197f,
+0.195090322016128f, 0.98078528040323f,
+0.290284677254462f, 0.956940335732209f,
+0.38268343236509f, 0.923879532511287f,
+0.471396736825998f, 0.881921264348355f,
+0.555570233019602f, 0.831469612302545f,
+0.634393284163645f, 0.773010453362737f,
+0.707106781186547f, 0.707106781186548f,
+0.773010453362737f, 0.634393284163645f,
+0.831469612302545f, 0.555570233019602f,
+0.881921264348355f, 0.471396736825998f,
+0.923879532511287f, 0.38268343236509f,
+0.956940335732209f, 0.290284677254462f,
+0.98078528040323f, 0.195090322016128f,
+0.995184726672197f, 0.098017140329561f,
+1.0f, 0.0f,
+0.995184726672197f, -0.098017140329561f,
+0.98078528040323f, -0.195090322016128f,
+0.956940335732209f, -0.290284677254462f,
+0.923879532511287f, -0.38268343236509f,
+0.881921264348355f, -0.471396736825998f,
+0.831469612302545f, -0.555570233019602f,
+0.773010453362737f, -0.634393284163645f,
+0.707106781186548f, -0.707106781186547f,
+0.634393284163645f, -0.773010453362737f,
+0.555570233019602f, -0.831469612302545f,
+0.471396736825998f, -0.881921264348355f,
+0.38268343236509f, -0.923879532511287f,
+0.290284677254462f, -0.956940335732209f,
+0.195090322016129f, -0.98078528040323f,
+0.098017140329561f, -0.995184726672197f
+};
+
+const float32_t twiddleCoef_rfft_128[128] = {
+ 0.000000000f, 1.000000000f,
+ 0.049067674f, 0.998795456f,
+ 0.098017140f, 0.995184727f,
+ 0.146730474f, 0.989176510f,
+ 0.195090322f, 0.980785280f,
+ 0.242980180f, 0.970031253f,
+ 0.290284677f, 0.956940336f,
+ 0.336889853f, 0.941544065f,
+ 0.382683432f, 0.923879533f,
+ 0.427555093f, 0.903989293f,
+ 0.471396737f, 0.881921264f,
+ 0.514102744f, 0.857728610f,
+ 0.555570233f, 0.831469612f,
+ 0.595699304f, 0.803207531f,
+ 0.634393284f, 0.773010453f,
+ 0.671558955f, 0.740951125f,
+ 0.707106781f, 0.707106781f,
+ 0.740951125f, 0.671558955f,
+ 0.773010453f, 0.634393284f,
+ 0.803207531f, 0.595699304f,
+ 0.831469612f, 0.555570233f,
+ 0.857728610f, 0.514102744f,
+ 0.881921264f, 0.471396737f,
+ 0.903989293f, 0.427555093f,
+ 0.923879533f, 0.382683432f,
+ 0.941544065f, 0.336889853f,
+ 0.956940336f, 0.290284677f,
+ 0.970031253f, 0.242980180f,
+ 0.980785280f, 0.195090322f,
+ 0.989176510f, 0.146730474f,
+ 0.995184727f, 0.098017140f,
+ 0.998795456f, 0.049067674f,
+ 1.000000000f, 0.000000000f,
+ 0.998795456f, -0.049067674f,
+ 0.995184727f, -0.098017140f,
+ 0.989176510f, -0.146730474f,
+ 0.980785280f, -0.195090322f,
+ 0.970031253f, -0.242980180f,
+ 0.956940336f, -0.290284677f,
+ 0.941544065f, -0.336889853f,
+ 0.923879533f, -0.382683432f,
+ 0.903989293f, -0.427555093f,
+ 0.881921264f, -0.471396737f,
+ 0.857728610f, -0.514102744f,
+ 0.831469612f, -0.555570233f,
+ 0.803207531f, -0.595699304f,
+ 0.773010453f, -0.634393284f,
+ 0.740951125f, -0.671558955f,
+ 0.707106781f, -0.707106781f,
+ 0.671558955f, -0.740951125f,
+ 0.634393284f, -0.773010453f,
+ 0.595699304f, -0.803207531f,
+ 0.555570233f, -0.831469612f,
+ 0.514102744f, -0.857728610f,
+ 0.471396737f, -0.881921264f,
+ 0.427555093f, -0.903989293f,
+ 0.382683432f, -0.923879533f,
+ 0.336889853f, -0.941544065f,
+ 0.290284677f, -0.956940336f,
+ 0.242980180f, -0.970031253f,
+ 0.195090322f, -0.980785280f,
+ 0.146730474f, -0.989176510f,
+ 0.098017140f, -0.995184727f,
+ 0.049067674f, -0.998795456f
+};
+
+const float32_t twiddleCoef_rfft_256[256] = {
+ 0.000000000f, 1.000000000f,
+ 0.024541229f, 0.999698819f,
+ 0.049067674f, 0.998795456f,
+ 0.073564564f, 0.997290457f,
+ 0.098017140f, 0.995184727f,
+ 0.122410675f, 0.992479535f,
+ 0.146730474f, 0.989176510f,
+ 0.170961889f, 0.985277642f,
+ 0.195090322f, 0.980785280f,
+ 0.219101240f, 0.975702130f,
+ 0.242980180f, 0.970031253f,
+ 0.266712757f, 0.963776066f,
+ 0.290284677f, 0.956940336f,
+ 0.313681740f, 0.949528181f,
+ 0.336889853f, 0.941544065f,
+ 0.359895037f, 0.932992799f,
+ 0.382683432f, 0.923879533f,
+ 0.405241314f, 0.914209756f,
+ 0.427555093f, 0.903989293f,
+ 0.449611330f, 0.893224301f,
+ 0.471396737f, 0.881921264f,
+ 0.492898192f, 0.870086991f,
+ 0.514102744f, 0.857728610f,
+ 0.534997620f, 0.844853565f,
+ 0.555570233f, 0.831469612f,
+ 0.575808191f, 0.817584813f,
+ 0.595699304f, 0.803207531f,
+ 0.615231591f, 0.788346428f,
+ 0.634393284f, 0.773010453f,
+ 0.653172843f, 0.757208847f,
+ 0.671558955f, 0.740951125f,
+ 0.689540545f, 0.724247083f,
+ 0.707106781f, 0.707106781f,
+ 0.724247083f, 0.689540545f,
+ 0.740951125f, 0.671558955f,
+ 0.757208847f, 0.653172843f,
+ 0.773010453f, 0.634393284f,
+ 0.788346428f, 0.615231591f,
+ 0.803207531f, 0.595699304f,
+ 0.817584813f, 0.575808191f,
+ 0.831469612f, 0.555570233f,
+ 0.844853565f, 0.534997620f,
+ 0.857728610f, 0.514102744f,
+ 0.870086991f, 0.492898192f,
+ 0.881921264f, 0.471396737f,
+ 0.893224301f, 0.449611330f,
+ 0.903989293f, 0.427555093f,
+ 0.914209756f, 0.405241314f,
+ 0.923879533f, 0.382683432f,
+ 0.932992799f, 0.359895037f,
+ 0.941544065f, 0.336889853f,
+ 0.949528181f, 0.313681740f,
+ 0.956940336f, 0.290284677f,
+ 0.963776066f, 0.266712757f,
+ 0.970031253f, 0.242980180f,
+ 0.975702130f, 0.219101240f,
+ 0.980785280f, 0.195090322f,
+ 0.985277642f, 0.170961889f,
+ 0.989176510f, 0.146730474f,
+ 0.992479535f, 0.122410675f,
+ 0.995184727f, 0.098017140f,
+ 0.997290457f, 0.073564564f,
+ 0.998795456f, 0.049067674f,
+ 0.999698819f, 0.024541229f,
+ 1.000000000f, 0.000000000f,
+ 0.999698819f, -0.024541229f,
+ 0.998795456f, -0.049067674f,
+ 0.997290457f, -0.073564564f,
+ 0.995184727f, -0.098017140f,
+ 0.992479535f, -0.122410675f,
+ 0.989176510f, -0.146730474f,
+ 0.985277642f, -0.170961889f,
+ 0.980785280f, -0.195090322f,
+ 0.975702130f, -0.219101240f,
+ 0.970031253f, -0.242980180f,
+ 0.963776066f, -0.266712757f,
+ 0.956940336f, -0.290284677f,
+ 0.949528181f, -0.313681740f,
+ 0.941544065f, -0.336889853f,
+ 0.932992799f, -0.359895037f,
+ 0.923879533f, -0.382683432f,
+ 0.914209756f, -0.405241314f,
+ 0.903989293f, -0.427555093f,
+ 0.893224301f, -0.449611330f,
+ 0.881921264f, -0.471396737f,
+ 0.870086991f, -0.492898192f,
+ 0.857728610f, -0.514102744f,
+ 0.844853565f, -0.534997620f,
+ 0.831469612f, -0.555570233f,
+ 0.817584813f, -0.575808191f,
+ 0.803207531f, -0.595699304f,
+ 0.788346428f, -0.615231591f,
+ 0.773010453f, -0.634393284f,
+ 0.757208847f, -0.653172843f,
+ 0.740951125f, -0.671558955f,
+ 0.724247083f, -0.689540545f,
+ 0.707106781f, -0.707106781f,
+ 0.689540545f, -0.724247083f,
+ 0.671558955f, -0.740951125f,
+ 0.653172843f, -0.757208847f,
+ 0.634393284f, -0.773010453f,
+ 0.615231591f, -0.788346428f,
+ 0.595699304f, -0.803207531f,
+ 0.575808191f, -0.817584813f,
+ 0.555570233f, -0.831469612f,
+ 0.534997620f, -0.844853565f,
+ 0.514102744f, -0.857728610f,
+ 0.492898192f, -0.870086991f,
+ 0.471396737f, -0.881921264f,
+ 0.449611330f, -0.893224301f,
+ 0.427555093f, -0.903989293f,
+ 0.405241314f, -0.914209756f,
+ 0.382683432f, -0.923879533f,
+ 0.359895037f, -0.932992799f,
+ 0.336889853f, -0.941544065f,
+ 0.313681740f, -0.949528181f,
+ 0.290284677f, -0.956940336f,
+ 0.266712757f, -0.963776066f,
+ 0.242980180f, -0.970031253f,
+ 0.219101240f, -0.975702130f,
+ 0.195090322f, -0.980785280f,
+ 0.170961889f, -0.985277642f,
+ 0.146730474f, -0.989176510f,
+ 0.122410675f, -0.992479535f,
+ 0.098017140f, -0.995184727f,
+ 0.073564564f, -0.997290457f,
+ 0.049067674f, -0.998795456f,
+ 0.024541229f, -0.999698819f
+};
+
+const float32_t twiddleCoef_rfft_512[512] = {
+ 0.000000000f, 1.000000000f,
+ 0.012271538f, 0.999924702f,
+ 0.024541229f, 0.999698819f,
+ 0.036807223f, 0.999322385f,
+ 0.049067674f, 0.998795456f,
+ 0.061320736f, 0.998118113f,
+ 0.073564564f, 0.997290457f,
+ 0.085797312f, 0.996312612f,
+ 0.098017140f, 0.995184727f,
+ 0.110222207f, 0.993906970f,
+ 0.122410675f, 0.992479535f,
+ 0.134580709f, 0.990902635f,
+ 0.146730474f, 0.989176510f,
+ 0.158858143f, 0.987301418f,
+ 0.170961889f, 0.985277642f,
+ 0.183039888f, 0.983105487f,
+ 0.195090322f, 0.980785280f,
+ 0.207111376f, 0.978317371f,
+ 0.219101240f, 0.975702130f,
+ 0.231058108f, 0.972939952f,
+ 0.242980180f, 0.970031253f,
+ 0.254865660f, 0.966976471f,
+ 0.266712757f, 0.963776066f,
+ 0.278519689f, 0.960430519f,
+ 0.290284677f, 0.956940336f,
+ 0.302005949f, 0.953306040f,
+ 0.313681740f, 0.949528181f,
+ 0.325310292f, 0.945607325f,
+ 0.336889853f, 0.941544065f,
+ 0.348418680f, 0.937339012f,
+ 0.359895037f, 0.932992799f,
+ 0.371317194f, 0.928506080f,
+ 0.382683432f, 0.923879533f,
+ 0.393992040f, 0.919113852f,
+ 0.405241314f, 0.914209756f,
+ 0.416429560f, 0.909167983f,
+ 0.427555093f, 0.903989293f,
+ 0.438616239f, 0.898674466f,
+ 0.449611330f, 0.893224301f,
+ 0.460538711f, 0.887639620f,
+ 0.471396737f, 0.881921264f,
+ 0.482183772f, 0.876070094f,
+ 0.492898192f, 0.870086991f,
+ 0.503538384f, 0.863972856f,
+ 0.514102744f, 0.857728610f,
+ 0.524589683f, 0.851355193f,
+ 0.534997620f, 0.844853565f,
+ 0.545324988f, 0.838224706f,
+ 0.555570233f, 0.831469612f,
+ 0.565731811f, 0.824589303f,
+ 0.575808191f, 0.817584813f,
+ 0.585797857f, 0.810457198f,
+ 0.595699304f, 0.803207531f,
+ 0.605511041f, 0.795836905f,
+ 0.615231591f, 0.788346428f,
+ 0.624859488f, 0.780737229f,
+ 0.634393284f, 0.773010453f,
+ 0.643831543f, 0.765167266f,
+ 0.653172843f, 0.757208847f,
+ 0.662415778f, 0.749136395f,
+ 0.671558955f, 0.740951125f,
+ 0.680600998f, 0.732654272f,
+ 0.689540545f, 0.724247083f,
+ 0.698376249f, 0.715730825f,
+ 0.707106781f, 0.707106781f,
+ 0.715730825f, 0.698376249f,
+ 0.724247083f, 0.689540545f,
+ 0.732654272f, 0.680600998f,
+ 0.740951125f, 0.671558955f,
+ 0.749136395f, 0.662415778f,
+ 0.757208847f, 0.653172843f,
+ 0.765167266f, 0.643831543f,
+ 0.773010453f, 0.634393284f,
+ 0.780737229f, 0.624859488f,
+ 0.788346428f, 0.615231591f,
+ 0.795836905f, 0.605511041f,
+ 0.803207531f, 0.595699304f,
+ 0.810457198f, 0.585797857f,
+ 0.817584813f, 0.575808191f,
+ 0.824589303f, 0.565731811f,
+ 0.831469612f, 0.555570233f,
+ 0.838224706f, 0.545324988f,
+ 0.844853565f, 0.534997620f,
+ 0.851355193f, 0.524589683f,
+ 0.857728610f, 0.514102744f,
+ 0.863972856f, 0.503538384f,
+ 0.870086991f, 0.492898192f,
+ 0.876070094f, 0.482183772f,
+ 0.881921264f, 0.471396737f,
+ 0.887639620f, 0.460538711f,
+ 0.893224301f, 0.449611330f,
+ 0.898674466f, 0.438616239f,
+ 0.903989293f, 0.427555093f,
+ 0.909167983f, 0.416429560f,
+ 0.914209756f, 0.405241314f,
+ 0.919113852f, 0.393992040f,
+ 0.923879533f, 0.382683432f,
+ 0.928506080f, 0.371317194f,
+ 0.932992799f, 0.359895037f,
+ 0.937339012f, 0.348418680f,
+ 0.941544065f, 0.336889853f,
+ 0.945607325f, 0.325310292f,
+ 0.949528181f, 0.313681740f,
+ 0.953306040f, 0.302005949f,
+ 0.956940336f, 0.290284677f,
+ 0.960430519f, 0.278519689f,
+ 0.963776066f, 0.266712757f,
+ 0.966976471f, 0.254865660f,
+ 0.970031253f, 0.242980180f,
+ 0.972939952f, 0.231058108f,
+ 0.975702130f, 0.219101240f,
+ 0.978317371f, 0.207111376f,
+ 0.980785280f, 0.195090322f,
+ 0.983105487f, 0.183039888f,
+ 0.985277642f, 0.170961889f,
+ 0.987301418f, 0.158858143f,
+ 0.989176510f, 0.146730474f,
+ 0.990902635f, 0.134580709f,
+ 0.992479535f, 0.122410675f,
+ 0.993906970f, 0.110222207f,
+ 0.995184727f, 0.098017140f,
+ 0.996312612f, 0.085797312f,
+ 0.997290457f, 0.073564564f,
+ 0.998118113f, 0.061320736f,
+ 0.998795456f, 0.049067674f,
+ 0.999322385f, 0.036807223f,
+ 0.999698819f, 0.024541229f,
+ 0.999924702f, 0.012271538f,
+ 1.000000000f, 0.000000000f,
+ 0.999924702f, -0.012271538f,
+ 0.999698819f, -0.024541229f,
+ 0.999322385f, -0.036807223f,
+ 0.998795456f, -0.049067674f,
+ 0.998118113f, -0.061320736f,
+ 0.997290457f, -0.073564564f,
+ 0.996312612f, -0.085797312f,
+ 0.995184727f, -0.098017140f,
+ 0.993906970f, -0.110222207f,
+ 0.992479535f, -0.122410675f,
+ 0.990902635f, -0.134580709f,
+ 0.989176510f, -0.146730474f,
+ 0.987301418f, -0.158858143f,
+ 0.985277642f, -0.170961889f,
+ 0.983105487f, -0.183039888f,
+ 0.980785280f, -0.195090322f,
+ 0.978317371f, -0.207111376f,
+ 0.975702130f, -0.219101240f,
+ 0.972939952f, -0.231058108f,
+ 0.970031253f, -0.242980180f,
+ 0.966976471f, -0.254865660f,
+ 0.963776066f, -0.266712757f,
+ 0.960430519f, -0.278519689f,
+ 0.956940336f, -0.290284677f,
+ 0.953306040f, -0.302005949f,
+ 0.949528181f, -0.313681740f,
+ 0.945607325f, -0.325310292f,
+ 0.941544065f, -0.336889853f,
+ 0.937339012f, -0.348418680f,
+ 0.932992799f, -0.359895037f,
+ 0.928506080f, -0.371317194f,
+ 0.923879533f, -0.382683432f,
+ 0.919113852f, -0.393992040f,
+ 0.914209756f, -0.405241314f,
+ 0.909167983f, -0.416429560f,
+ 0.903989293f, -0.427555093f,
+ 0.898674466f, -0.438616239f,
+ 0.893224301f, -0.449611330f,
+ 0.887639620f, -0.460538711f,
+ 0.881921264f, -0.471396737f,
+ 0.876070094f, -0.482183772f,
+ 0.870086991f, -0.492898192f,
+ 0.863972856f, -0.503538384f,
+ 0.857728610f, -0.514102744f,
+ 0.851355193f, -0.524589683f,
+ 0.844853565f, -0.534997620f,
+ 0.838224706f, -0.545324988f,
+ 0.831469612f, -0.555570233f,
+ 0.824589303f, -0.565731811f,
+ 0.817584813f, -0.575808191f,
+ 0.810457198f, -0.585797857f,
+ 0.803207531f, -0.595699304f,
+ 0.795836905f, -0.605511041f,
+ 0.788346428f, -0.615231591f,
+ 0.780737229f, -0.624859488f,
+ 0.773010453f, -0.634393284f,
+ 0.765167266f, -0.643831543f,
+ 0.757208847f, -0.653172843f,
+ 0.749136395f, -0.662415778f,
+ 0.740951125f, -0.671558955f,
+ 0.732654272f, -0.680600998f,
+ 0.724247083f, -0.689540545f,
+ 0.715730825f, -0.698376249f,
+ 0.707106781f, -0.707106781f,
+ 0.698376249f, -0.715730825f,
+ 0.689540545f, -0.724247083f,
+ 0.680600998f, -0.732654272f,
+ 0.671558955f, -0.740951125f,
+ 0.662415778f, -0.749136395f,
+ 0.653172843f, -0.757208847f,
+ 0.643831543f, -0.765167266f,
+ 0.634393284f, -0.773010453f,
+ 0.624859488f, -0.780737229f,
+ 0.615231591f, -0.788346428f,
+ 0.605511041f, -0.795836905f,
+ 0.595699304f, -0.803207531f,
+ 0.585797857f, -0.810457198f,
+ 0.575808191f, -0.817584813f,
+ 0.565731811f, -0.824589303f,
+ 0.555570233f, -0.831469612f,
+ 0.545324988f, -0.838224706f,
+ 0.534997620f, -0.844853565f,
+ 0.524589683f, -0.851355193f,
+ 0.514102744f, -0.857728610f,
+ 0.503538384f, -0.863972856f,
+ 0.492898192f, -0.870086991f,
+ 0.482183772f, -0.876070094f,
+ 0.471396737f, -0.881921264f,
+ 0.460538711f, -0.887639620f,
+ 0.449611330f, -0.893224301f,
+ 0.438616239f, -0.898674466f,
+ 0.427555093f, -0.903989293f,
+ 0.416429560f, -0.909167983f,
+ 0.405241314f, -0.914209756f,
+ 0.393992040f, -0.919113852f,
+ 0.382683432f, -0.923879533f,
+ 0.371317194f, -0.928506080f,
+ 0.359895037f, -0.932992799f,
+ 0.348418680f, -0.937339012f,
+ 0.336889853f, -0.941544065f,
+ 0.325310292f, -0.945607325f,
+ 0.313681740f, -0.949528181f,
+ 0.302005949f, -0.953306040f,
+ 0.290284677f, -0.956940336f,
+ 0.278519689f, -0.960430519f,
+ 0.266712757f, -0.963776066f,
+ 0.254865660f, -0.966976471f,
+ 0.242980180f, -0.970031253f,
+ 0.231058108f, -0.972939952f,
+ 0.219101240f, -0.975702130f,
+ 0.207111376f, -0.978317371f,
+ 0.195090322f, -0.980785280f,
+ 0.183039888f, -0.983105487f,
+ 0.170961889f, -0.985277642f,
+ 0.158858143f, -0.987301418f,
+ 0.146730474f, -0.989176510f,
+ 0.134580709f, -0.990902635f,
+ 0.122410675f, -0.992479535f,
+ 0.110222207f, -0.993906970f,
+ 0.098017140f, -0.995184727f,
+ 0.085797312f, -0.996312612f,
+ 0.073564564f, -0.997290457f,
+ 0.061320736f, -0.998118113f,
+ 0.049067674f, -0.998795456f,
+ 0.036807223f, -0.999322385f,
+ 0.024541229f, -0.999698819f,
+ 0.012271538f, -0.999924702f
+};
+
+const float32_t twiddleCoef_rfft_1024[1024] = {
+ 0.000000000f, 1.000000000f,
+ 0.006135885f, 0.999981175f,
+ 0.012271538f, 0.999924702f,
+ 0.018406730f, 0.999830582f,
+ 0.024541229f, 0.999698819f,
+ 0.030674803f, 0.999529418f,
+ 0.036807223f, 0.999322385f,
+ 0.042938257f, 0.999077728f,
+ 0.049067674f, 0.998795456f,
+ 0.055195244f, 0.998475581f,
+ 0.061320736f, 0.998118113f,
+ 0.067443920f, 0.997723067f,
+ 0.073564564f, 0.997290457f,
+ 0.079682438f, 0.996820299f,
+ 0.085797312f, 0.996312612f,
+ 0.091908956f, 0.995767414f,
+ 0.098017140f, 0.995184727f,
+ 0.104121634f, 0.994564571f,
+ 0.110222207f, 0.993906970f,
+ 0.116318631f, 0.993211949f,
+ 0.122410675f, 0.992479535f,
+ 0.128498111f, 0.991709754f,
+ 0.134580709f, 0.990902635f,
+ 0.140658239f, 0.990058210f,
+ 0.146730474f, 0.989176510f,
+ 0.152797185f, 0.988257568f,
+ 0.158858143f, 0.987301418f,
+ 0.164913120f, 0.986308097f,
+ 0.170961889f, 0.985277642f,
+ 0.177004220f, 0.984210092f,
+ 0.183039888f, 0.983105487f,
+ 0.189068664f, 0.981963869f,
+ 0.195090322f, 0.980785280f,
+ 0.201104635f, 0.979569766f,
+ 0.207111376f, 0.978317371f,
+ 0.213110320f, 0.977028143f,
+ 0.219101240f, 0.975702130f,
+ 0.225083911f, 0.974339383f,
+ 0.231058108f, 0.972939952f,
+ 0.237023606f, 0.971503891f,
+ 0.242980180f, 0.970031253f,
+ 0.248927606f, 0.968522094f,
+ 0.254865660f, 0.966976471f,
+ 0.260794118f, 0.965394442f,
+ 0.266712757f, 0.963776066f,
+ 0.272621355f, 0.962121404f,
+ 0.278519689f, 0.960430519f,
+ 0.284407537f, 0.958703475f,
+ 0.290284677f, 0.956940336f,
+ 0.296150888f, 0.955141168f,
+ 0.302005949f, 0.953306040f,
+ 0.307849640f, 0.951435021f,
+ 0.313681740f, 0.949528181f,
+ 0.319502031f, 0.947585591f,
+ 0.325310292f, 0.945607325f,
+ 0.331106306f, 0.943593458f,
+ 0.336889853f, 0.941544065f,
+ 0.342660717f, 0.939459224f,
+ 0.348418680f, 0.937339012f,
+ 0.354163525f, 0.935183510f,
+ 0.359895037f, 0.932992799f,
+ 0.365612998f, 0.930766961f,
+ 0.371317194f, 0.928506080f,
+ 0.377007410f, 0.926210242f,
+ 0.382683432f, 0.923879533f,
+ 0.388345047f, 0.921514039f,
+ 0.393992040f, 0.919113852f,
+ 0.399624200f, 0.916679060f,
+ 0.405241314f, 0.914209756f,
+ 0.410843171f, 0.911706032f,
+ 0.416429560f, 0.909167983f,
+ 0.422000271f, 0.906595705f,
+ 0.427555093f, 0.903989293f,
+ 0.433093819f, 0.901348847f,
+ 0.438616239f, 0.898674466f,
+ 0.444122145f, 0.895966250f,
+ 0.449611330f, 0.893224301f,
+ 0.455083587f, 0.890448723f,
+ 0.460538711f, 0.887639620f,
+ 0.465976496f, 0.884797098f,
+ 0.471396737f, 0.881921264f,
+ 0.476799230f, 0.879012226f,
+ 0.482183772f, 0.876070094f,
+ 0.487550160f, 0.873094978f,
+ 0.492898192f, 0.870086991f,
+ 0.498227667f, 0.867046246f,
+ 0.503538384f, 0.863972856f,
+ 0.508830143f, 0.860866939f,
+ 0.514102744f, 0.857728610f,
+ 0.519355990f, 0.854557988f,
+ 0.524589683f, 0.851355193f,
+ 0.529803625f, 0.848120345f,
+ 0.534997620f, 0.844853565f,
+ 0.540171473f, 0.841554977f,
+ 0.545324988f, 0.838224706f,
+ 0.550457973f, 0.834862875f,
+ 0.555570233f, 0.831469612f,
+ 0.560661576f, 0.828045045f,
+ 0.565731811f, 0.824589303f,
+ 0.570780746f, 0.821102515f,
+ 0.575808191f, 0.817584813f,
+ 0.580813958f, 0.814036330f,
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+ 0.565731811f, -0.824589303f,
+ 0.560661576f, -0.828045045f,
+ 0.555570233f, -0.831469612f,
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+ 0.433093819f, -0.901348847f,
+ 0.427555093f, -0.903989293f,
+ 0.422000271f, -0.906595705f,
+ 0.416429560f, -0.909167983f,
+ 0.410843171f, -0.911706032f,
+ 0.405241314f, -0.914209756f,
+ 0.399624200f, -0.916679060f,
+ 0.393992040f, -0.919113852f,
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+ 0.365612998f, -0.930766961f,
+ 0.359895037f, -0.932992799f,
+ 0.354163525f, -0.935183510f,
+ 0.348418680f, -0.937339012f,
+ 0.342660717f, -0.939459224f,
+ 0.336889853f, -0.941544065f,
+ 0.331106306f, -0.943593458f,
+ 0.325310292f, -0.945607325f,
+ 0.319502031f, -0.947585591f,
+ 0.313681740f, -0.949528181f,
+ 0.307849640f, -0.951435021f,
+ 0.302005949f, -0.953306040f,
+ 0.296150888f, -0.955141168f,
+ 0.290284677f, -0.956940336f,
+ 0.284407537f, -0.958703475f,
+ 0.278519689f, -0.960430519f,
+ 0.272621355f, -0.962121404f,
+ 0.266712757f, -0.963776066f,
+ 0.260794118f, -0.965394442f,
+ 0.254865660f, -0.966976471f,
+ 0.248927606f, -0.968522094f,
+ 0.242980180f, -0.970031253f,
+ 0.237023606f, -0.971503891f,
+ 0.231058108f, -0.972939952f,
+ 0.225083911f, -0.974339383f,
+ 0.219101240f, -0.975702130f,
+ 0.213110320f, -0.977028143f,
+ 0.207111376f, -0.978317371f,
+ 0.201104635f, -0.979569766f,
+ 0.195090322f, -0.980785280f,
+ 0.189068664f, -0.981963869f,
+ 0.183039888f, -0.983105487f,
+ 0.177004220f, -0.984210092f,
+ 0.170961889f, -0.985277642f,
+ 0.164913120f, -0.986308097f,
+ 0.158858143f, -0.987301418f,
+ 0.152797185f, -0.988257568f,
+ 0.146730474f, -0.989176510f,
+ 0.140658239f, -0.990058210f,
+ 0.134580709f, -0.990902635f,
+ 0.128498111f, -0.991709754f,
+ 0.122410675f, -0.992479535f,
+ 0.116318631f, -0.993211949f,
+ 0.110222207f, -0.993906970f,
+ 0.104121634f, -0.994564571f,
+ 0.098017140f, -0.995184727f,
+ 0.091908956f, -0.995767414f,
+ 0.085797312f, -0.996312612f,
+ 0.079682438f, -0.996820299f,
+ 0.073564564f, -0.997290457f,
+ 0.067443920f, -0.997723067f,
+ 0.061320736f, -0.998118113f,
+ 0.055195244f, -0.998475581f,
+ 0.049067674f, -0.998795456f,
+ 0.042938257f, -0.999077728f,
+ 0.036807223f, -0.999322385f,
+ 0.030674803f, -0.999529418f,
+ 0.024541229f, -0.999698819f,
+ 0.018406730f, -0.999830582f,
+ 0.012271538f, -0.999924702f,
+ 0.006135885f, -0.999981175f
+};
+
+const float32_t twiddleCoef_rfft_2048[2048] = {
+ 0.000000000f, 1.000000000f,
+ 0.003067957f, 0.999995294f,
+ 0.006135885f, 0.999981175f,
+ 0.009203755f, 0.999957645f,
+ 0.012271538f, 0.999924702f,
+ 0.015339206f, 0.999882347f,
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+ 0.490226483f, -0.871595087f,
+ 0.487550160f, -0.873094978f,
+ 0.484869248f, -0.874586652f,
+ 0.482183772f, -0.876070094f,
+ 0.479493758f, -0.877545290f,
+ 0.476799230f, -0.879012226f,
+ 0.474100215f, -0.880470889f,
+ 0.471396737f, -0.881921264f,
+ 0.468688822f, -0.883363339f,
+ 0.465976496f, -0.884797098f,
+ 0.463259784f, -0.886222530f,
+ 0.460538711f, -0.887639620f,
+ 0.457813304f, -0.889048356f,
+ 0.455083587f, -0.890448723f,
+ 0.452349587f, -0.891840709f,
+ 0.449611330f, -0.893224301f,
+ 0.446868840f, -0.894599486f,
+ 0.444122145f, -0.895966250f,
+ 0.441371269f, -0.897324581f,
+ 0.438616239f, -0.898674466f,
+ 0.435857080f, -0.900015892f,
+ 0.433093819f, -0.901348847f,
+ 0.430326481f, -0.902673318f,
+ 0.427555093f, -0.903989293f,
+ 0.424779681f, -0.905296759f,
+ 0.422000271f, -0.906595705f,
+ 0.419216888f, -0.907886116f,
+ 0.416429560f, -0.909167983f,
+ 0.413638312f, -0.910441292f,
+ 0.410843171f, -0.911706032f,
+ 0.408044163f, -0.912962190f,
+ 0.405241314f, -0.914209756f,
+ 0.402434651f, -0.915448716f,
+ 0.399624200f, -0.916679060f,
+ 0.396809987f, -0.917900776f,
+ 0.393992040f, -0.919113852f,
+ 0.391170384f, -0.920318277f,
+ 0.388345047f, -0.921514039f,
+ 0.385516054f, -0.922701128f,
+ 0.382683432f, -0.923879533f,
+ 0.379847209f, -0.925049241f,
+ 0.377007410f, -0.926210242f,
+ 0.374164063f, -0.927362526f,
+ 0.371317194f, -0.928506080f,
+ 0.368466830f, -0.929640896f,
+ 0.365612998f, -0.930766961f,
+ 0.362755724f, -0.931884266f,
+ 0.359895037f, -0.932992799f,
+ 0.357030961f, -0.934092550f,
+ 0.354163525f, -0.935183510f,
+ 0.351292756f, -0.936265667f,
+ 0.348418680f, -0.937339012f,
+ 0.345541325f, -0.938403534f,
+ 0.342660717f, -0.939459224f,
+ 0.339776884f, -0.940506071f,
+ 0.336889853f, -0.941544065f,
+ 0.333999651f, -0.942573198f,
+ 0.331106306f, -0.943593458f,
+ 0.328209844f, -0.944604837f,
+ 0.325310292f, -0.945607325f,
+ 0.322407679f, -0.946600913f,
+ 0.319502031f, -0.947585591f,
+ 0.316593376f, -0.948561350f,
+ 0.313681740f, -0.949528181f,
+ 0.310767153f, -0.950486074f,
+ 0.307849640f, -0.951435021f,
+ 0.304929230f, -0.952375013f,
+ 0.302005949f, -0.953306040f,
+ 0.299079826f, -0.954228095f,
+ 0.296150888f, -0.955141168f,
+ 0.293219163f, -0.956045251f,
+ 0.290284677f, -0.956940336f,
+ 0.287347460f, -0.957826413f,
+ 0.284407537f, -0.958703475f,
+ 0.281464938f, -0.959571513f,
+ 0.278519689f, -0.960430519f,
+ 0.275571819f, -0.961280486f,
+ 0.272621355f, -0.962121404f,
+ 0.269668326f, -0.962953267f,
+ 0.266712757f, -0.963776066f,
+ 0.263754679f, -0.964589793f,
+ 0.260794118f, -0.965394442f,
+ 0.257831102f, -0.966190003f,
+ 0.254865660f, -0.966976471f,
+ 0.251897818f, -0.967753837f,
+ 0.248927606f, -0.968522094f,
+ 0.245955050f, -0.969281235f,
+ 0.242980180f, -0.970031253f,
+ 0.240003022f, -0.970772141f,
+ 0.237023606f, -0.971503891f,
+ 0.234041959f, -0.972226497f,
+ 0.231058108f, -0.972939952f,
+ 0.228072083f, -0.973644250f,
+ 0.225083911f, -0.974339383f,
+ 0.222093621f, -0.975025345f,
+ 0.219101240f, -0.975702130f,
+ 0.216106797f, -0.976369731f,
+ 0.213110320f, -0.977028143f,
+ 0.210111837f, -0.977677358f,
+ 0.207111376f, -0.978317371f,
+ 0.204108966f, -0.978948175f,
+ 0.201104635f, -0.979569766f,
+ 0.198098411f, -0.980182136f,
+ 0.195090322f, -0.980785280f,
+ 0.192080397f, -0.981379193f,
+ 0.189068664f, -0.981963869f,
+ 0.186055152f, -0.982539302f,
+ 0.183039888f, -0.983105487f,
+ 0.180022901f, -0.983662419f,
+ 0.177004220f, -0.984210092f,
+ 0.173983873f, -0.984748502f,
+ 0.170961889f, -0.985277642f,
+ 0.167938295f, -0.985797509f,
+ 0.164913120f, -0.986308097f,
+ 0.161886394f, -0.986809402f,
+ 0.158858143f, -0.987301418f,
+ 0.155828398f, -0.987784142f,
+ 0.152797185f, -0.988257568f,
+ 0.149764535f, -0.988721692f,
+ 0.146730474f, -0.989176510f,
+ 0.143695033f, -0.989622017f,
+ 0.140658239f, -0.990058210f,
+ 0.137620122f, -0.990485084f,
+ 0.134580709f, -0.990902635f,
+ 0.131540029f, -0.991310860f,
+ 0.128498111f, -0.991709754f,
+ 0.125454983f, -0.992099313f,
+ 0.122410675f, -0.992479535f,
+ 0.119365215f, -0.992850414f,
+ 0.116318631f, -0.993211949f,
+ 0.113270952f, -0.993564136f,
+ 0.110222207f, -0.993906970f,
+ 0.107172425f, -0.994240449f,
+ 0.104121634f, -0.994564571f,
+ 0.101069863f, -0.994879331f,
+ 0.098017140f, -0.995184727f,
+ 0.094963495f, -0.995480755f,
+ 0.091908956f, -0.995767414f,
+ 0.088853553f, -0.996044701f,
+ 0.085797312f, -0.996312612f,
+ 0.082740265f, -0.996571146f,
+ 0.079682438f, -0.996820299f,
+ 0.076623861f, -0.997060070f,
+ 0.073564564f, -0.997290457f,
+ 0.070504573f, -0.997511456f,
+ 0.067443920f, -0.997723067f,
+ 0.064382631f, -0.997925286f,
+ 0.061320736f, -0.998118113f,
+ 0.058258265f, -0.998301545f,
+ 0.055195244f, -0.998475581f,
+ 0.052131705f, -0.998640218f,
+ 0.049067674f, -0.998795456f,
+ 0.046003182f, -0.998941293f,
+ 0.042938257f, -0.999077728f,
+ 0.039872928f, -0.999204759f,
+ 0.036807223f, -0.999322385f,
+ 0.033741172f, -0.999430605f,
+ 0.030674803f, -0.999529418f,
+ 0.027608146f, -0.999618822f,
+ 0.024541229f, -0.999698819f,
+ 0.021474080f, -0.999769405f,
+ 0.018406730f, -0.999830582f,
+ 0.015339206f, -0.999882347f,
+ 0.012271538f, -0.999924702f,
+ 0.009203755f, -0.999957645f,
+ 0.006135885f, -0.999981175f,
+ 0.003067957f, -0.999995294f
+};
+
+const float32_t twiddleCoef_rfft_4096[4096] = {
+ 0.000000000f, 1.000000000f,
+ 0.001533980f, 0.999998823f,
+ 0.003067957f, 0.999995294f,
+ 0.004601926f, 0.999989411f,
+ 0.006135885f, 0.999981175f,
+ 0.007669829f, 0.999970586f,
+ 0.009203755f, 0.999957645f,
+ 0.010737659f, 0.999942350f,
+ 0.012271538f, 0.999924702f,
+ 0.013805389f, 0.999904701f,
+ 0.015339206f, 0.999882347f,
+ 0.016872988f, 0.999857641f,
+ 0.018406730f, 0.999830582f,
+ 0.019940429f, 0.999801170f,
+ 0.021474080f, 0.999769405f,
+ 0.023007681f, 0.999735288f,
+ 0.024541229f, 0.999698819f,
+ 0.026074718f, 0.999659997f,
+ 0.027608146f, 0.999618822f,
+ 0.029141509f, 0.999575296f,
+ 0.030674803f, 0.999529418f,
+ 0.032208025f, 0.999481187f,
+ 0.033741172f, 0.999430605f,
+ 0.035274239f, 0.999377670f,
+ 0.036807223f, 0.999322385f,
+ 0.038340120f, 0.999264747f,
+ 0.039872928f, 0.999204759f,
+ 0.041405641f, 0.999142419f,
+ 0.042938257f, 0.999077728f,
+ 0.044470772f, 0.999010686f,
+ 0.046003182f, 0.998941293f,
+ 0.047535484f, 0.998869550f,
+ 0.049067674f, 0.998795456f,
+ 0.050599749f, 0.998719012f,
+ 0.052131705f, 0.998640218f,
+ 0.053663538f, 0.998559074f,
+ 0.055195244f, 0.998475581f,
+ 0.056726821f, 0.998389737f,
+ 0.058258265f, 0.998301545f,
+ 0.059789571f, 0.998211003f,
+ 0.061320736f, 0.998118113f,
+ 0.062851758f, 0.998022874f,
+ 0.064382631f, 0.997925286f,
+ 0.065913353f, 0.997825350f,
+ 0.067443920f, 0.997723067f,
+ 0.068974328f, 0.997618435f,
+ 0.070504573f, 0.997511456f,
+ 0.072034653f, 0.997402130f,
+ 0.073564564f, 0.997290457f,
+ 0.075094301f, 0.997176437f,
+ 0.076623861f, 0.997060070f,
+ 0.078153242f, 0.996941358f,
+ 0.079682438f, 0.996820299f,
+ 0.081211447f, 0.996696895f,
+ 0.082740265f, 0.996571146f,
+ 0.084268888f, 0.996443051f,
+ 0.085797312f, 0.996312612f,
+ 0.087325535f, 0.996179829f,
+ 0.088853553f, 0.996044701f,
+ 0.090381361f, 0.995907229f,
+ 0.091908956f, 0.995767414f,
+ 0.093436336f, 0.995625256f,
+ 0.094963495f, 0.995480755f,
+ 0.096490431f, 0.995333912f,
+ 0.098017140f, 0.995184727f,
+ 0.099543619f, 0.995033199f,
+ 0.101069863f, 0.994879331f,
+ 0.102595869f, 0.994723121f,
+ 0.104121634f, 0.994564571f,
+ 0.105647154f, 0.994403680f,
+ 0.107172425f, 0.994240449f,
+ 0.108697444f, 0.994074879f,
+ 0.110222207f, 0.993906970f,
+ 0.111746711f, 0.993736722f,
+ 0.113270952f, 0.993564136f,
+ 0.114794927f, 0.993389211f,
+ 0.116318631f, 0.993211949f,
+ 0.117842062f, 0.993032350f,
+ 0.119365215f, 0.992850414f,
+ 0.120888087f, 0.992666142f,
+ 0.122410675f, 0.992479535f,
+ 0.123932975f, 0.992290591f,
+ 0.125454983f, 0.992099313f,
+ 0.126976696f, 0.991905700f,
+ 0.128498111f, 0.991709754f,
+ 0.130019223f, 0.991511473f,
+ 0.131540029f, 0.991310860f,
+ 0.133060525f, 0.991107914f,
+ 0.134580709f, 0.990902635f,
+ 0.136100575f, 0.990695025f,
+ 0.137620122f, 0.990485084f,
+ 0.139139344f, 0.990272812f,
+ 0.140658239f, 0.990058210f,
+ 0.142176804f, 0.989841278f,
+ 0.143695033f, 0.989622017f,
+ 0.145212925f, 0.989400428f,
+ 0.146730474f, 0.989176510f,
+ 0.148247679f, 0.988950265f,
+ 0.149764535f, 0.988721692f,
+ 0.151281038f, 0.988490793f,
+ 0.152797185f, 0.988257568f,
+ 0.154312973f, 0.988022017f,
+ 0.155828398f, 0.987784142f,
+ 0.157343456f, 0.987543942f,
+ 0.158858143f, 0.987301418f,
+ 0.160372457f, 0.987056571f,
+ 0.161886394f, 0.986809402f,
+ 0.163399949f, 0.986559910f,
+ 0.164913120f, 0.986308097f,
+ 0.166425904f, 0.986053963f,
+ 0.167938295f, 0.985797509f,
+ 0.169450291f, 0.985538735f,
+ 0.170961889f, 0.985277642f,
+ 0.172473084f, 0.985014231f,
+ 0.173983873f, 0.984748502f,
+ 0.175494253f, 0.984480455f,
+ 0.177004220f, 0.984210092f,
+ 0.178513771f, 0.983937413f,
+ 0.180022901f, 0.983662419f,
+ 0.181531608f, 0.983385110f,
+ 0.183039888f, 0.983105487f,
+ 0.184547737f, 0.982823551f,
+ 0.186055152f, 0.982539302f,
+ 0.187562129f, 0.982252741f,
+ 0.189068664f, 0.981963869f,
+ 0.190574755f, 0.981672686f,
+ 0.192080397f, 0.981379193f,
+ 0.193585587f, 0.981083391f,
+ 0.195090322f, 0.980785280f,
+ 0.196594598f, 0.980484862f,
+ 0.198098411f, 0.980182136f,
+ 0.199601758f, 0.979877104f,
+ 0.201104635f, 0.979569766f,
+ 0.202607039f, 0.979260123f,
+ 0.204108966f, 0.978948175f,
+ 0.205610413f, 0.978633924f,
+ 0.207111376f, 0.978317371f,
+ 0.208611852f, 0.977998515f,
+ 0.210111837f, 0.977677358f,
+ 0.211611327f, 0.977353900f,
+ 0.213110320f, 0.977028143f,
+ 0.214608811f, 0.976700086f,
+ 0.216106797f, 0.976369731f,
+ 0.217604275f, 0.976037079f,
+ 0.219101240f, 0.975702130f,
+ 0.220597690f, 0.975364885f,
+ 0.222093621f, 0.975025345f,
+ 0.223589029f, 0.974683511f,
+ 0.225083911f, 0.974339383f,
+ 0.226578264f, 0.973992962f,
+ 0.228072083f, 0.973644250f,
+ 0.229565366f, 0.973293246f,
+ 0.231058108f, 0.972939952f,
+ 0.232550307f, 0.972584369f,
+ 0.234041959f, 0.972226497f,
+ 0.235533059f, 0.971866337f,
+ 0.237023606f, 0.971503891f,
+ 0.238513595f, 0.971139158f,
+ 0.240003022f, 0.970772141f,
+ 0.241491885f, 0.970402839f,
+ 0.242980180f, 0.970031253f,
+ 0.244467903f, 0.969657385f,
+ 0.245955050f, 0.969281235f,
+ 0.247441619f, 0.968902805f,
+ 0.248927606f, 0.968522094f,
+ 0.250413007f, 0.968139105f,
+ 0.251897818f, 0.967753837f,
+ 0.253382037f, 0.967366292f,
+ 0.254865660f, 0.966976471f,
+ 0.256348682f, 0.966584374f,
+ 0.257831102f, 0.966190003f,
+ 0.259312915f, 0.965793359f,
+ 0.260794118f, 0.965394442f,
+ 0.262274707f, 0.964993253f,
+ 0.263754679f, 0.964589793f,
+ 0.265234030f, 0.964184064f,
+ 0.266712757f, 0.963776066f,
+ 0.268190857f, 0.963365800f,
+ 0.269668326f, 0.962953267f,
+ 0.271145160f, 0.962538468f,
+ 0.272621355f, 0.962121404f,
+ 0.274096910f, 0.961702077f,
+ 0.275571819f, 0.961280486f,
+ 0.277046080f, 0.960856633f,
+ 0.278519689f, 0.960430519f,
+ 0.279992643f, 0.960002146f,
+ 0.281464938f, 0.959571513f,
+ 0.282936570f, 0.959138622f,
+ 0.284407537f, 0.958703475f,
+ 0.285877835f, 0.958266071f,
+ 0.287347460f, 0.957826413f,
+ 0.288816408f, 0.957384501f,
+ 0.290284677f, 0.956940336f,
+ 0.291752263f, 0.956493919f,
+ 0.293219163f, 0.956045251f,
+ 0.294685372f, 0.955594334f,
+ 0.296150888f, 0.955141168f,
+ 0.297615707f, 0.954685755f,
+ 0.299079826f, 0.954228095f,
+ 0.300543241f, 0.953768190f,
+ 0.302005949f, 0.953306040f,
+ 0.303467947f, 0.952841648f,
+ 0.304929230f, 0.952375013f,
+ 0.306389795f, 0.951906137f,
+ 0.307849640f, 0.951435021f,
+ 0.309308760f, 0.950961666f,
+ 0.310767153f, 0.950486074f,
+ 0.312224814f, 0.950008245f,
+ 0.313681740f, 0.949528181f,
+ 0.315137929f, 0.949045882f,
+ 0.316593376f, 0.948561350f,
+ 0.318048077f, 0.948074586f,
+ 0.319502031f, 0.947585591f,
+ 0.320955232f, 0.947094366f,
+ 0.322407679f, 0.946600913f,
+ 0.323859367f, 0.946105232f,
+ 0.325310292f, 0.945607325f,
+ 0.326760452f, 0.945107193f,
+ 0.328209844f, 0.944604837f,
+ 0.329658463f, 0.944100258f,
+ 0.331106306f, 0.943593458f,
+ 0.332553370f, 0.943084437f,
+ 0.333999651f, 0.942573198f,
+ 0.335445147f, 0.942059740f,
+ 0.336889853f, 0.941544065f,
+ 0.338333767f, 0.941026175f,
+ 0.339776884f, 0.940506071f,
+ 0.341219202f, 0.939983753f,
+ 0.342660717f, 0.939459224f,
+ 0.344101426f, 0.938932484f,
+ 0.345541325f, 0.938403534f,
+ 0.346980411f, 0.937872376f,
+ 0.348418680f, 0.937339012f,
+ 0.349856130f, 0.936803442f,
+ 0.351292756f, 0.936265667f,
+ 0.352728556f, 0.935725689f,
+ 0.354163525f, 0.935183510f,
+ 0.355597662f, 0.934639130f,
+ 0.357030961f, 0.934092550f,
+ 0.358463421f, 0.933543773f,
+ 0.359895037f, 0.932992799f,
+ 0.361325806f, 0.932439629f,
+ 0.362755724f, 0.931884266f,
+ 0.364184790f, 0.931326709f,
+ 0.365612998f, 0.930766961f,
+ 0.367040346f, 0.930205023f,
+ 0.368466830f, 0.929640896f,
+ 0.369892447f, 0.929074581f,
+ 0.371317194f, 0.928506080f,
+ 0.372741067f, 0.927935395f,
+ 0.374164063f, 0.927362526f,
+ 0.375586178f, 0.926787474f,
+ 0.377007410f, 0.926210242f,
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+ 0.164913120f, -0.986308097f,
+ 0.163399949f, -0.986559910f,
+ 0.161886394f, -0.986809402f,
+ 0.160372457f, -0.987056571f,
+ 0.158858143f, -0.987301418f,
+ 0.157343456f, -0.987543942f,
+ 0.155828398f, -0.987784142f,
+ 0.154312973f, -0.988022017f,
+ 0.152797185f, -0.988257568f,
+ 0.151281038f, -0.988490793f,
+ 0.149764535f, -0.988721692f,
+ 0.148247679f, -0.988950265f,
+ 0.146730474f, -0.989176510f,
+ 0.145212925f, -0.989400428f,
+ 0.143695033f, -0.989622017f,
+ 0.142176804f, -0.989841278f,
+ 0.140658239f, -0.990058210f,
+ 0.139139344f, -0.990272812f,
+ 0.137620122f, -0.990485084f,
+ 0.136100575f, -0.990695025f,
+ 0.134580709f, -0.990902635f,
+ 0.133060525f, -0.991107914f,
+ 0.131540029f, -0.991310860f,
+ 0.130019223f, -0.991511473f,
+ 0.128498111f, -0.991709754f,
+ 0.126976696f, -0.991905700f,
+ 0.125454983f, -0.992099313f,
+ 0.123932975f, -0.992290591f,
+ 0.122410675f, -0.992479535f,
+ 0.120888087f, -0.992666142f,
+ 0.119365215f, -0.992850414f,
+ 0.117842062f, -0.993032350f,
+ 0.116318631f, -0.993211949f,
+ 0.114794927f, -0.993389211f,
+ 0.113270952f, -0.993564136f,
+ 0.111746711f, -0.993736722f,
+ 0.110222207f, -0.993906970f,
+ 0.108697444f, -0.994074879f,
+ 0.107172425f, -0.994240449f,
+ 0.105647154f, -0.994403680f,
+ 0.104121634f, -0.994564571f,
+ 0.102595869f, -0.994723121f,
+ 0.101069863f, -0.994879331f,
+ 0.099543619f, -0.995033199f,
+ 0.098017140f, -0.995184727f,
+ 0.096490431f, -0.995333912f,
+ 0.094963495f, -0.995480755f,
+ 0.093436336f, -0.995625256f,
+ 0.091908956f, -0.995767414f,
+ 0.090381361f, -0.995907229f,
+ 0.088853553f, -0.996044701f,
+ 0.087325535f, -0.996179829f,
+ 0.085797312f, -0.996312612f,
+ 0.084268888f, -0.996443051f,
+ 0.082740265f, -0.996571146f,
+ 0.081211447f, -0.996696895f,
+ 0.079682438f, -0.996820299f,
+ 0.078153242f, -0.996941358f,
+ 0.076623861f, -0.997060070f,
+ 0.075094301f, -0.997176437f,
+ 0.073564564f, -0.997290457f,
+ 0.072034653f, -0.997402130f,
+ 0.070504573f, -0.997511456f,
+ 0.068974328f, -0.997618435f,
+ 0.067443920f, -0.997723067f,
+ 0.065913353f, -0.997825350f,
+ 0.064382631f, -0.997925286f,
+ 0.062851758f, -0.998022874f,
+ 0.061320736f, -0.998118113f,
+ 0.059789571f, -0.998211003f,
+ 0.058258265f, -0.998301545f,
+ 0.056726821f, -0.998389737f,
+ 0.055195244f, -0.998475581f,
+ 0.053663538f, -0.998559074f,
+ 0.052131705f, -0.998640218f,
+ 0.050599749f, -0.998719012f,
+ 0.049067674f, -0.998795456f,
+ 0.047535484f, -0.998869550f,
+ 0.046003182f, -0.998941293f,
+ 0.044470772f, -0.999010686f,
+ 0.042938257f, -0.999077728f,
+ 0.041405641f, -0.999142419f,
+ 0.039872928f, -0.999204759f,
+ 0.038340120f, -0.999264747f,
+ 0.036807223f, -0.999322385f,
+ 0.035274239f, -0.999377670f,
+ 0.033741172f, -0.999430605f,
+ 0.032208025f, -0.999481187f,
+ 0.030674803f, -0.999529418f,
+ 0.029141509f, -0.999575296f,
+ 0.027608146f, -0.999618822f,
+ 0.026074718f, -0.999659997f,
+ 0.024541229f, -0.999698819f,
+ 0.023007681f, -0.999735288f,
+ 0.021474080f, -0.999769405f,
+ 0.019940429f, -0.999801170f,
+ 0.018406730f, -0.999830582f,
+ 0.016872988f, -0.999857641f,
+ 0.015339206f, -0.999882347f,
+ 0.013805389f, -0.999904701f,
+ 0.012271538f, -0.999924702f,
+ 0.010737659f, -0.999942350f,
+ 0.009203755f, -0.999957645f,
+ 0.007669829f, -0.999970586f,
+ 0.006135885f, -0.999981175f,
+ 0.004601926f, -0.999989411f,
+ 0.003067957f, -0.999995294f,
+ 0.001533980f, -0.999998823f
+};
+
+
+/**
+ * \par
+ * Example code for the generation of the floating-point sine table:
+ * <pre>
+ * tableSize = 512;
+ * for(n = 0; n < (tableSize + 1); n++)
+ * {
+ * sinTable[n]=sin(2*pi*n/tableSize);
+ * }</pre>
+ * \par
+ * where pi value is 3.14159265358979
+ */
+
+const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1] = {
+ 0.00000000f, 0.01227154f, 0.02454123f, 0.03680722f, 0.04906767f, 0.06132074f,
+ 0.07356456f, 0.08579731f, 0.09801714f, 0.11022221f, 0.12241068f, 0.13458071f,
+ 0.14673047f, 0.15885814f, 0.17096189f, 0.18303989f, 0.19509032f, 0.20711138f,
+ 0.21910124f, 0.23105811f, 0.24298018f, 0.25486566f, 0.26671276f, 0.27851969f,
+ 0.29028468f, 0.30200595f, 0.31368174f, 0.32531029f, 0.33688985f, 0.34841868f,
+ 0.35989504f, 0.37131719f, 0.38268343f, 0.39399204f, 0.40524131f, 0.41642956f,
+ 0.42755509f, 0.43861624f, 0.44961133f, 0.46053871f, 0.47139674f, 0.48218377f,
+ 0.49289819f, 0.50353838f, 0.51410274f, 0.52458968f, 0.53499762f, 0.54532499f,
+ 0.55557023f, 0.56573181f, 0.57580819f, 0.58579786f, 0.59569930f, 0.60551104f,
+ 0.61523159f, 0.62485949f, 0.63439328f, 0.64383154f, 0.65317284f, 0.66241578f,
+ 0.67155895f, 0.68060100f, 0.68954054f, 0.69837625f, 0.70710678f, 0.71573083f,
+ 0.72424708f, 0.73265427f, 0.74095113f, 0.74913639f, 0.75720885f, 0.76516727f,
+ 0.77301045f, 0.78073723f, 0.78834643f, 0.79583690f, 0.80320753f, 0.81045720f,
+ 0.81758481f, 0.82458930f, 0.83146961f, 0.83822471f, 0.84485357f, 0.85135519f,
+ 0.85772861f, 0.86397286f, 0.87008699f, 0.87607009f, 0.88192126f, 0.88763962f,
+ 0.89322430f, 0.89867447f, 0.90398929f, 0.90916798f, 0.91420976f, 0.91911385f,
+ 0.92387953f, 0.92850608f, 0.93299280f, 0.93733901f, 0.94154407f, 0.94560733f,
+ 0.94952818f, 0.95330604f, 0.95694034f, 0.96043052f, 0.96377607f, 0.96697647f,
+ 0.97003125f, 0.97293995f, 0.97570213f, 0.97831737f, 0.98078528f, 0.98310549f,
+ 0.98527764f, 0.98730142f, 0.98917651f, 0.99090264f, 0.99247953f, 0.99390697f,
+ 0.99518473f, 0.99631261f, 0.99729046f, 0.99811811f, 0.99879546f, 0.99932238f,
+ 0.99969882f, 0.99992470f, 1.00000000f, 0.99992470f, 0.99969882f, 0.99932238f,
+ 0.99879546f, 0.99811811f, 0.99729046f, 0.99631261f, 0.99518473f, 0.99390697f,
+ 0.99247953f, 0.99090264f, 0.98917651f, 0.98730142f, 0.98527764f, 0.98310549f,
+ 0.98078528f, 0.97831737f, 0.97570213f, 0.97293995f, 0.97003125f, 0.96697647f,
+ 0.96377607f, 0.96043052f, 0.95694034f, 0.95330604f, 0.94952818f, 0.94560733f,
+ 0.94154407f, 0.93733901f, 0.93299280f, 0.92850608f, 0.92387953f, 0.91911385f,
+ 0.91420976f, 0.90916798f, 0.90398929f, 0.89867447f, 0.89322430f, 0.88763962f,
+ 0.88192126f, 0.87607009f, 0.87008699f, 0.86397286f, 0.85772861f, 0.85135519f,
+ 0.84485357f, 0.83822471f, 0.83146961f, 0.82458930f, 0.81758481f, 0.81045720f,
+ 0.80320753f, 0.79583690f, 0.78834643f, 0.78073723f, 0.77301045f, 0.76516727f,
+ 0.75720885f, 0.74913639f, 0.74095113f, 0.73265427f, 0.72424708f, 0.71573083f,
+ 0.70710678f, 0.69837625f, 0.68954054f, 0.68060100f, 0.67155895f, 0.66241578f,
+ 0.65317284f, 0.64383154f, 0.63439328f, 0.62485949f, 0.61523159f, 0.60551104f,
+ 0.59569930f, 0.58579786f, 0.57580819f, 0.56573181f, 0.55557023f, 0.54532499f,
+ 0.53499762f, 0.52458968f, 0.51410274f, 0.50353838f, 0.49289819f, 0.48218377f,
+ 0.47139674f, 0.46053871f, 0.44961133f, 0.43861624f, 0.42755509f, 0.41642956f,
+ 0.40524131f, 0.39399204f, 0.38268343f, 0.37131719f, 0.35989504f, 0.34841868f,
+ 0.33688985f, 0.32531029f, 0.31368174f, 0.30200595f, 0.29028468f, 0.27851969f,
+ 0.26671276f, 0.25486566f, 0.24298018f, 0.23105811f, 0.21910124f, 0.20711138f,
+ 0.19509032f, 0.18303989f, 0.17096189f, 0.15885814f, 0.14673047f, 0.13458071f,
+ 0.12241068f, 0.11022221f, 0.09801714f, 0.08579731f, 0.07356456f, 0.06132074f,
+ 0.04906767f, 0.03680722f, 0.02454123f, 0.01227154f, 0.00000000f, -0.01227154f,
+ -0.02454123f, -0.03680722f, -0.04906767f, -0.06132074f, -0.07356456f,
+ -0.08579731f, -0.09801714f, -0.11022221f, -0.12241068f, -0.13458071f,
+ -0.14673047f, -0.15885814f, -0.17096189f, -0.18303989f, -0.19509032f,
+ -0.20711138f, -0.21910124f, -0.23105811f, -0.24298018f, -0.25486566f,
+ -0.26671276f, -0.27851969f, -0.29028468f, -0.30200595f, -0.31368174f,
+ -0.32531029f, -0.33688985f, -0.34841868f, -0.35989504f, -0.37131719f,
+ -0.38268343f, -0.39399204f, -0.40524131f, -0.41642956f, -0.42755509f,
+ -0.43861624f, -0.44961133f, -0.46053871f, -0.47139674f, -0.48218377f,
+ -0.49289819f, -0.50353838f, -0.51410274f, -0.52458968f, -0.53499762f,
+ -0.54532499f, -0.55557023f, -0.56573181f, -0.57580819f, -0.58579786f,
+ -0.59569930f, -0.60551104f, -0.61523159f, -0.62485949f, -0.63439328f,
+ -0.64383154f, -0.65317284f, -0.66241578f, -0.67155895f, -0.68060100f,
+ -0.68954054f, -0.69837625f, -0.70710678f, -0.71573083f, -0.72424708f,
+ -0.73265427f, -0.74095113f, -0.74913639f, -0.75720885f, -0.76516727f,
+ -0.77301045f, -0.78073723f, -0.78834643f, -0.79583690f, -0.80320753f,
+ -0.81045720f, -0.81758481f, -0.82458930f, -0.83146961f, -0.83822471f,
+ -0.84485357f, -0.85135519f, -0.85772861f, -0.86397286f, -0.87008699f,
+ -0.87607009f, -0.88192126f, -0.88763962f, -0.89322430f, -0.89867447f,
+ -0.90398929f, -0.90916798f, -0.91420976f, -0.91911385f, -0.92387953f,
+ -0.92850608f, -0.93299280f, -0.93733901f, -0.94154407f, -0.94560733f,
+ -0.94952818f, -0.95330604f, -0.95694034f, -0.96043052f, -0.96377607f,
+ -0.96697647f, -0.97003125f, -0.97293995f, -0.97570213f, -0.97831737f,
+ -0.98078528f, -0.98310549f, -0.98527764f, -0.98730142f, -0.98917651f,
+ -0.99090264f, -0.99247953f, -0.99390697f, -0.99518473f, -0.99631261f,
+ -0.99729046f, -0.99811811f, -0.99879546f, -0.99932238f, -0.99969882f,
+ -0.99992470f, -1.00000000f, -0.99992470f, -0.99969882f, -0.99932238f,
+ -0.99879546f, -0.99811811f, -0.99729046f, -0.99631261f, -0.99518473f,
+ -0.99390697f, -0.99247953f, -0.99090264f, -0.98917651f, -0.98730142f,
+ -0.98527764f, -0.98310549f, -0.98078528f, -0.97831737f, -0.97570213f,
+ -0.97293995f, -0.97003125f, -0.96697647f, -0.96377607f, -0.96043052f,
+ -0.95694034f, -0.95330604f, -0.94952818f, -0.94560733f, -0.94154407f,
+ -0.93733901f, -0.93299280f, -0.92850608f, -0.92387953f, -0.91911385f,
+ -0.91420976f, -0.90916798f, -0.90398929f, -0.89867447f, -0.89322430f,
+ -0.88763962f, -0.88192126f, -0.87607009f, -0.87008699f, -0.86397286f,
+ -0.85772861f, -0.85135519f, -0.84485357f, -0.83822471f, -0.83146961f,
+ -0.82458930f, -0.81758481f, -0.81045720f, -0.80320753f, -0.79583690f,
+ -0.78834643f, -0.78073723f, -0.77301045f, -0.76516727f, -0.75720885f,
+ -0.74913639f, -0.74095113f, -0.73265427f, -0.72424708f, -0.71573083f,
+ -0.70710678f, -0.69837625f, -0.68954054f, -0.68060100f, -0.67155895f,
+ -0.66241578f, -0.65317284f, -0.64383154f, -0.63439328f, -0.62485949f,
+ -0.61523159f, -0.60551104f, -0.59569930f, -0.58579786f, -0.57580819f,
+ -0.56573181f, -0.55557023f, -0.54532499f, -0.53499762f, -0.52458968f,
+ -0.51410274f, -0.50353838f, -0.49289819f, -0.48218377f, -0.47139674f,
+ -0.46053871f, -0.44961133f, -0.43861624f, -0.42755509f, -0.41642956f,
+ -0.40524131f, -0.39399204f, -0.38268343f, -0.37131719f, -0.35989504f,
+ -0.34841868f, -0.33688985f, -0.32531029f, -0.31368174f, -0.30200595f,
+ -0.29028468f, -0.27851969f, -0.26671276f, -0.25486566f, -0.24298018f,
+ -0.23105811f, -0.21910124f, -0.20711138f, -0.19509032f, -0.18303989f,
+ -0.17096189f, -0.15885814f, -0.14673047f, -0.13458071f, -0.12241068f,
+ -0.11022221f, -0.09801714f, -0.08579731f, -0.07356456f, -0.06132074f,
+ -0.04906767f, -0.03680722f, -0.02454123f, -0.01227154f, -0.00000000f
+};
+
+/**
+ * \par
+ * Table values are in Q31 (1.31 fixed-point format) and generation is done in
+ * three steps. First, generate sin values in floating point:
+ * <pre>
+ * tableSize = 512;
+ * for(n = 0; n < (tableSize + 1); n++)
+ * {
+ * sinTable[n]= sin(2*pi*n/tableSize);
+ * } </pre>
+ * where pi value is 3.14159265358979
+ * \par
+ * Second, convert floating-point to Q31 (Fixed point):
+ * (sinTable[i] * pow(2, 31))
+ * \par
+ * Finally, round to the nearest integer value:
+ * sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);
+ */
+const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1] = {
+ 0x00000000, 0x01921D20, 0x03242ABF, 0x04B6195D, 0x0647D97C, 0x07D95B9E,
+ 0x096A9049, 0x0AFB6805, 0x0C8BD35E, 0x0E1BC2E4, 0x0FAB272B, 0x1139F0CF,
+ 0x12C8106F, 0x145576B1, 0x15E21445, 0x176DD9DE, 0x18F8B83C, 0x1A82A026,
+ 0x1C0B826A, 0x1D934FE5, 0x1F19F97B, 0x209F701C, 0x2223A4C5, 0x23A6887F,
+ 0x25280C5E, 0x26A82186, 0x2826B928, 0x29A3C485, 0x2B1F34EB, 0x2C98FBBA,
+ 0x2E110A62, 0x2F875262, 0x30FBC54D, 0x326E54C7, 0x33DEF287, 0x354D9057,
+ 0x36BA2014, 0x382493B0, 0x398CDD32, 0x3AF2EEB7, 0x3C56BA70, 0x3DB832A6,
+ 0x3F1749B8, 0x4073F21D, 0x41CE1E65, 0x4325C135, 0x447ACD50, 0x45CD358F,
+ 0x471CECE7, 0x4869E665, 0x49B41533, 0x4AFB6C98, 0x4C3FDFF4, 0x4D8162C4,
+ 0x4EBFE8A5, 0x4FFB654D, 0x5133CC94, 0x5269126E, 0x539B2AF0, 0x54CA0A4B,
+ 0x55F5A4D2, 0x571DEEFA, 0x5842DD54, 0x59646498, 0x5A82799A, 0x5B9D1154,
+ 0x5CB420E0, 0x5DC79D7C, 0x5ED77C8A, 0x5FE3B38D, 0x60EC3830, 0x61F1003F,
+ 0x62F201AC, 0x63EF3290, 0x64E88926, 0x65DDFBD3, 0x66CF8120, 0x67BD0FBD,
+ 0x68A69E81, 0x698C246C, 0x6A6D98A4, 0x6B4AF279, 0x6C242960, 0x6CF934FC,
+ 0x6DCA0D14, 0x6E96A99D, 0x6F5F02B2, 0x7023109A, 0x70E2CBC6, 0x719E2CD2,
+ 0x72552C85, 0x7307C3D0, 0x73B5EBD1, 0x745F9DD1, 0x7504D345, 0x75A585CF,
+ 0x7641AF3D, 0x76D94989, 0x776C4EDB, 0x77FAB989, 0x78848414, 0x7909A92D,
+ 0x798A23B1, 0x7A05EEAD, 0x7A7D055B, 0x7AEF6323, 0x7B5D039E, 0x7BC5E290,
+ 0x7C29FBEE, 0x7C894BDE, 0x7CE3CEB2, 0x7D3980EC, 0x7D8A5F40, 0x7DD6668F,
+ 0x7E1D93EA, 0x7E5FE493, 0x7E9D55FC, 0x7ED5E5C6, 0x7F0991C4, 0x7F3857F6,
+ 0x7F62368F, 0x7F872BF3, 0x7FA736B4, 0x7FC25596, 0x7FD8878E, 0x7FE9CBC0,
+ 0x7FF62182, 0x7FFD885A, 0x7FFFFFFF, 0x7FFD885A, 0x7FF62182, 0x7FE9CBC0,
+ 0x7FD8878E, 0x7FC25596, 0x7FA736B4, 0x7F872BF3, 0x7F62368F, 0x7F3857F6,
+ 0x7F0991C4, 0x7ED5E5C6, 0x7E9D55FC, 0x7E5FE493, 0x7E1D93EA, 0x7DD6668F,
+ 0x7D8A5F40, 0x7D3980EC, 0x7CE3CEB2, 0x7C894BDE, 0x7C29FBEE, 0x7BC5E290,
+ 0x7B5D039E, 0x7AEF6323, 0x7A7D055B, 0x7A05EEAD, 0x798A23B1, 0x7909A92D,
+ 0x78848414, 0x77FAB989, 0x776C4EDB, 0x76D94989, 0x7641AF3D, 0x75A585CF,
+ 0x7504D345, 0x745F9DD1, 0x73B5EBD1, 0x7307C3D0, 0x72552C85, 0x719E2CD2,
+ 0x70E2CBC6, 0x7023109A, 0x6F5F02B2, 0x6E96A99D, 0x6DCA0D14, 0x6CF934FC,
+ 0x6C242960, 0x6B4AF279, 0x6A6D98A4, 0x698C246C, 0x68A69E81, 0x67BD0FBD,
+ 0x66CF8120, 0x65DDFBD3, 0x64E88926, 0x63EF3290, 0x62F201AC, 0x61F1003F,
+ 0x60EC3830, 0x5FE3B38D, 0x5ED77C8A, 0x5DC79D7C, 0x5CB420E0, 0x5B9D1154,
+ 0x5A82799A, 0x59646498, 0x5842DD54, 0x571DEEFA, 0x55F5A4D2, 0x54CA0A4B,
+ 0x539B2AF0, 0x5269126E, 0x5133CC94, 0x4FFB654D, 0x4EBFE8A5, 0x4D8162C4,
+ 0x4C3FDFF4, 0x4AFB6C98, 0x49B41533, 0x4869E665, 0x471CECE7, 0x45CD358F,
+ 0x447ACD50, 0x4325C135, 0x41CE1E65, 0x4073F21D, 0x3F1749B8, 0x3DB832A6,
+ 0x3C56BA70, 0x3AF2EEB7, 0x398CDD32, 0x382493B0, 0x36BA2014, 0x354D9057,
+ 0x33DEF287, 0x326E54C7, 0x30FBC54D, 0x2F875262, 0x2E110A62, 0x2C98FBBA,
+ 0x2B1F34EB, 0x29A3C485, 0x2826B928, 0x26A82186, 0x25280C5E, 0x23A6887F,
+ 0x2223A4C5, 0x209F701C, 0x1F19F97B, 0x1D934FE5, 0x1C0B826A, 0x1A82A026,
+ 0x18F8B83C, 0x176DD9DE, 0x15E21445, 0x145576B1, 0x12C8106F, 0x1139F0CF,
+ 0x0FAB272B, 0x0E1BC2E4, 0x0C8BD35E, 0x0AFB6805, 0x096A9049, 0x07D95B9E,
+ 0x0647D97C, 0x04B6195D, 0x03242ABF, 0x01921D20, 0x00000000, 0xFE6DE2E0,
+ 0xFCDBD541, 0xFB49E6A3, 0xF9B82684, 0xF826A462, 0xF6956FB7, 0xF50497FB,
+ 0xF3742CA2, 0xF1E43D1C, 0xF054D8D5, 0xEEC60F31, 0xED37EF91, 0xEBAA894F,
+ 0xEA1DEBBB, 0xE8922622, 0xE70747C4, 0xE57D5FDA, 0xE3F47D96, 0xE26CB01B,
+ 0xE0E60685, 0xDF608FE4, 0xDDDC5B3B, 0xDC597781, 0xDAD7F3A2, 0xD957DE7A,
+ 0xD7D946D8, 0xD65C3B7B, 0xD4E0CB15, 0xD3670446, 0xD1EEF59E, 0xD078AD9E,
+ 0xCF043AB3, 0xCD91AB39, 0xCC210D79, 0xCAB26FA9, 0xC945DFEC, 0xC7DB6C50,
+ 0xC67322CE, 0xC50D1149, 0xC3A94590, 0xC247CD5A, 0xC0E8B648, 0xBF8C0DE3,
+ 0xBE31E19B, 0xBCDA3ECB, 0xBB8532B0, 0xBA32CA71, 0xB8E31319, 0xB796199B,
+ 0xB64BEACD, 0xB5049368, 0xB3C0200C, 0xB27E9D3C, 0xB140175B, 0xB0049AB3,
+ 0xAECC336C, 0xAD96ED92, 0xAC64D510, 0xAB35F5B5, 0xAA0A5B2E, 0xA8E21106,
+ 0xA7BD22AC, 0xA69B9B68, 0xA57D8666, 0xA462EEAC, 0xA34BDF20, 0xA2386284,
+ 0xA1288376, 0xA01C4C73, 0x9F13C7D0, 0x9E0EFFC1, 0x9D0DFE54, 0x9C10CD70,
+ 0x9B1776DA, 0x9A22042D, 0x99307EE0, 0x9842F043, 0x9759617F, 0x9673DB94,
+ 0x9592675C, 0x94B50D87, 0x93DBD6A0, 0x9306CB04, 0x9235F2EC, 0x91695663,
+ 0x90A0FD4E, 0x8FDCEF66, 0x8F1D343A, 0x8E61D32E, 0x8DAAD37B, 0x8CF83C30,
+ 0x8C4A142F, 0x8BA0622F, 0x8AFB2CBB, 0x8A5A7A31, 0x89BE50C3, 0x8926B677,
+ 0x8893B125, 0x88054677, 0x877B7BEC, 0x86F656D3, 0x8675DC4F, 0x85FA1153,
+ 0x8582FAA5, 0x85109CDD, 0x84A2FC62, 0x843A1D70, 0x83D60412, 0x8376B422,
+ 0x831C314E, 0x82C67F14, 0x8275A0C0, 0x82299971, 0x81E26C16, 0x81A01B6D,
+ 0x8162AA04, 0x812A1A3A, 0x80F66E3C, 0x80C7A80A, 0x809DC971, 0x8078D40D,
+ 0x8058C94C, 0x803DAA6A, 0x80277872, 0x80163440, 0x8009DE7E, 0x800277A6,
+ 0x80000000, 0x800277A6, 0x8009DE7E, 0x80163440, 0x80277872, 0x803DAA6A,
+ 0x8058C94C, 0x8078D40D, 0x809DC971, 0x80C7A80A, 0x80F66E3C, 0x812A1A3A,
+ 0x8162AA04, 0x81A01B6D, 0x81E26C16, 0x82299971, 0x8275A0C0, 0x82C67F14,
+ 0x831C314E, 0x8376B422, 0x83D60412, 0x843A1D70, 0x84A2FC62, 0x85109CDD,
+ 0x8582FAA5, 0x85FA1153, 0x8675DC4F, 0x86F656D3, 0x877B7BEC, 0x88054677,
+ 0x8893B125, 0x8926B677, 0x89BE50C3, 0x8A5A7A31, 0x8AFB2CBB, 0x8BA0622F,
+ 0x8C4A142F, 0x8CF83C30, 0x8DAAD37B, 0x8E61D32E, 0x8F1D343A, 0x8FDCEF66,
+ 0x90A0FD4E, 0x91695663, 0x9235F2EC, 0x9306CB04, 0x93DBD6A0, 0x94B50D87,
+ 0x9592675C, 0x9673DB94, 0x9759617F, 0x9842F043, 0x99307EE0, 0x9A22042D,
+ 0x9B1776DA, 0x9C10CD70, 0x9D0DFE54, 0x9E0EFFC1, 0x9F13C7D0, 0xA01C4C73,
+ 0xA1288376, 0xA2386284, 0xA34BDF20, 0xA462EEAC, 0xA57D8666, 0xA69B9B68,
+ 0xA7BD22AC, 0xA8E21106, 0xAA0A5B2E, 0xAB35F5B5, 0xAC64D510, 0xAD96ED92,
+ 0xAECC336C, 0xB0049AB3, 0xB140175B, 0xB27E9D3C, 0xB3C0200C, 0xB5049368,
+ 0xB64BEACD, 0xB796199B, 0xB8E31319, 0xBA32CA71, 0xBB8532B0, 0xBCDA3ECB,
+ 0xBE31E19B, 0xBF8C0DE3, 0xC0E8B648, 0xC247CD5A, 0xC3A94590, 0xC50D1149,
+ 0xC67322CE, 0xC7DB6C50, 0xC945DFEC, 0xCAB26FA9, 0xCC210D79, 0xCD91AB39,
+ 0xCF043AB3, 0xD078AD9E, 0xD1EEF59E, 0xD3670446, 0xD4E0CB15, 0xD65C3B7B,
+ 0xD7D946D8, 0xD957DE7A, 0xDAD7F3A2, 0xDC597781, 0xDDDC5B3B, 0xDF608FE4,
+ 0xE0E60685, 0xE26CB01B, 0xE3F47D96, 0xE57D5FDA, 0xE70747C4, 0xE8922622,
+ 0xEA1DEBBB, 0xEBAA894F, 0xED37EF91, 0xEEC60F31, 0xF054D8D5, 0xF1E43D1C,
+ 0xF3742CA2, 0xF50497FB, 0xF6956FB7, 0xF826A462, 0xF9B82684, 0xFB49E6A3,
+ 0xFCDBD541, 0xFE6DE2E0, 0x00000000
+};
+
+/**
+ * \par
+ * Table values are in Q15 (1.15 fixed-point format) and generation is done in
+ * three steps. First, generate sin values in floating point:
+ * <pre>
+ * tableSize = 512;
+ * for(n = 0; n < (tableSize + 1); n++)
+ * {
+ * sinTable[n]= sin(2*pi*n/tableSize);
+ * } </pre>
+ * where pi value is 3.14159265358979
+ * \par
+ * Second, convert floating-point to Q15 (Fixed point):
+ * (sinTable[i] * pow(2, 15))
+ * \par
+ * Finally, round to the nearest integer value:
+ * sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);
+ */
+const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1] = {
+ 0x0000, 0x0192, 0x0324, 0x04B6, 0x0648, 0x07D9, 0x096B, 0x0AFB, 0x0C8C, 0x0E1C, 0x0FAB, 0x113A, 0x12C8,
+ 0x1455, 0x15E2, 0x176E, 0x18F9, 0x1A83, 0x1C0C, 0x1D93, 0x1F1A, 0x209F, 0x2224, 0x23A7, 0x2528, 0x26A8,
+ 0x2827, 0x29A4, 0x2B1F, 0x2C99, 0x2E11, 0x2F87, 0x30FC, 0x326E, 0x33DF, 0x354E, 0x36BA, 0x3825, 0x398D,
+ 0x3AF3, 0x3C57, 0x3DB8, 0x3F17, 0x4074, 0x41CE, 0x4326, 0x447B, 0x45CD, 0x471D, 0x486A, 0x49B4, 0x4AFB,
+ 0x4C40, 0x4D81, 0x4EC0, 0x4FFB, 0x5134, 0x5269, 0x539B, 0x54CA, 0x55F6, 0x571E, 0x5843, 0x5964, 0x5A82,
+ 0x5B9D, 0x5CB4, 0x5DC8, 0x5ED7, 0x5FE4, 0x60EC, 0x61F1, 0x62F2, 0x63EF, 0x64E9, 0x65DE, 0x66D0, 0x67BD,
+ 0x68A7, 0x698C, 0x6A6E, 0x6B4B, 0x6C24, 0x6CF9, 0x6DCA, 0x6E97, 0x6F5F, 0x7023, 0x70E3, 0x719E, 0x7255,
+ 0x7308, 0x73B6, 0x7460, 0x7505, 0x75A6, 0x7642, 0x76D9, 0x776C, 0x77FB, 0x7885, 0x790A, 0x798A, 0x7A06,
+ 0x7A7D, 0x7AEF, 0x7B5D, 0x7BC6, 0x7C2A, 0x7C89, 0x7CE4, 0x7D3A, 0x7D8A, 0x7DD6, 0x7E1E, 0x7E60, 0x7E9D,
+ 0x7ED6, 0x7F0A, 0x7F38, 0x7F62, 0x7F87, 0x7FA7, 0x7FC2, 0x7FD9, 0x7FEA, 0x7FF6, 0x7FFE, 0x7FFF, 0x7FFE,
+ 0x7FF6, 0x7FEA, 0x7FD9, 0x7FC2, 0x7FA7, 0x7F87, 0x7F62, 0x7F38, 0x7F0A, 0x7ED6, 0x7E9D, 0x7E60, 0x7E1E,
+ 0x7DD6, 0x7D8A, 0x7D3A, 0x7CE4, 0x7C89, 0x7C2A, 0x7BC6, 0x7B5D, 0x7AEF, 0x7A7D, 0x7A06, 0x798A, 0x790A,
+ 0x7885, 0x77FB, 0x776C, 0x76D9, 0x7642, 0x75A6, 0x7505, 0x7460, 0x73B6, 0x7308, 0x7255, 0x719E, 0x70E3,
+ 0x7023, 0x6F5F, 0x6E97, 0x6DCA, 0x6CF9, 0x6C24, 0x6B4B, 0x6A6E, 0x698C, 0x68A7, 0x67BD, 0x66D0, 0x65DE,
+ 0x64E9, 0x63EF, 0x62F2, 0x61F1, 0x60EC, 0x5FE4, 0x5ED7, 0x5DC8, 0x5CB4, 0x5B9D, 0x5A82, 0x5964, 0x5843,
+ 0x571E, 0x55F6, 0x54CA, 0x539B, 0x5269, 0x5134, 0x4FFB, 0x4EC0, 0x4D81, 0x4C40, 0x4AFB, 0x49B4, 0x486A,
+ 0x471D, 0x45CD, 0x447B, 0x4326, 0x41CE, 0x4074, 0x3F17, 0x3DB8, 0x3C57, 0x3AF3, 0x398D, 0x3825, 0x36BA,
+ 0x354E, 0x33DF, 0x326E, 0x30FC, 0x2F87, 0x2E11, 0x2C99, 0x2B1F, 0x29A4, 0x2827, 0x26A8, 0x2528, 0x23A7,
+ 0x2224, 0x209F, 0x1F1A, 0x1D93, 0x1C0C, 0x1A83, 0x18F9, 0x176E, 0x15E2, 0x1455, 0x12C8, 0x113A, 0x0FAB,
+ 0x0E1C, 0x0C8C, 0x0AFB, 0x096B, 0x07D9, 0x0648, 0x04B6, 0x0324, 0x0192, 0x0000, 0xFE6E, 0xFCDC, 0xFB4A,
+ 0xF9B8, 0xF827, 0xF695, 0xF505, 0xF374, 0xF1E4, 0xF055, 0xEEC6, 0xED38, 0xEBAB, 0xEA1E, 0xE892, 0xE707,
+ 0xE57D, 0xE3F4, 0xE26D, 0xE0E6, 0xDF61, 0xDDDC, 0xDC59, 0xDAD8, 0xD958, 0xD7D9, 0xD65C, 0xD4E1, 0xD367,
+ 0xD1EF, 0xD079, 0xCF04, 0xCD92, 0xCC21, 0xCAB2, 0xC946, 0xC7DB, 0xC673, 0xC50D, 0xC3A9, 0xC248, 0xC0E9,
+ 0xBF8C, 0xBE32, 0xBCDA, 0xBB85, 0xBA33, 0xB8E3, 0xB796, 0xB64C, 0xB505, 0xB3C0, 0xB27F, 0xB140, 0xB005,
+ 0xAECC, 0xAD97, 0xAC65, 0xAB36, 0xAA0A, 0xA8E2, 0xA7BD, 0xA69C, 0xA57E, 0xA463, 0xA34C, 0xA238, 0xA129,
+ 0xA01C, 0x9F14, 0x9E0F, 0x9D0E, 0x9C11, 0x9B17, 0x9A22, 0x9930, 0x9843, 0x9759, 0x9674, 0x9592, 0x94B5,
+ 0x93DC, 0x9307, 0x9236, 0x9169, 0x90A1, 0x8FDD, 0x8F1D, 0x8E62, 0x8DAB, 0x8CF8, 0x8C4A, 0x8BA0, 0x8AFB,
+ 0x8A5A, 0x89BE, 0x8927, 0x8894, 0x8805, 0x877B, 0x86F6, 0x8676, 0x85FA, 0x8583, 0x8511, 0x84A3, 0x843A,
+ 0x83D6, 0x8377, 0x831C, 0x82C6, 0x8276, 0x822A, 0x81E2, 0x81A0, 0x8163, 0x812A, 0x80F6, 0x80C8, 0x809E,
+ 0x8079, 0x8059, 0x803E, 0x8027, 0x8016, 0x800A, 0x8002, 0x8000, 0x8002, 0x800A, 0x8016, 0x8027, 0x803E,
+ 0x8059, 0x8079, 0x809E, 0x80C8, 0x80F6, 0x812A, 0x8163, 0x81A0, 0x81E2, 0x822A, 0x8276, 0x82C6, 0x831C,
+ 0x8377, 0x83D6, 0x843A, 0x84A3, 0x8511, 0x8583, 0x85FA, 0x8676, 0x86F6, 0x877B, 0x8805, 0x8894, 0x8927,
+ 0x89BE, 0x8A5A, 0x8AFB, 0x8BA0, 0x8C4A, 0x8CF8, 0x8DAB, 0x8E62, 0x8F1D, 0x8FDD, 0x90A1, 0x9169, 0x9236,
+ 0x9307, 0x93DC, 0x94B5, 0x9592, 0x9674, 0x9759, 0x9843, 0x9930, 0x9A22, 0x9B17, 0x9C11, 0x9D0E, 0x9E0F,
+ 0x9F14, 0xA01C, 0xA129, 0xA238, 0xA34C, 0xA463, 0xA57E, 0xA69C, 0xA7BD, 0xA8E2, 0xAA0A, 0xAB36, 0xAC65,
+ 0xAD97, 0xAECC, 0xB005, 0xB140, 0xB27F, 0xB3C0, 0xB505, 0xB64C, 0xB796, 0xB8E3, 0xBA33, 0xBB85, 0xBCDA,
+ 0xBE32, 0xBF8C, 0xC0E9, 0xC248, 0xC3A9, 0xC50D, 0xC673, 0xC7DB, 0xC946, 0xCAB2, 0xCC21, 0xCD92, 0xCF04,
+ 0xD079, 0xD1EF, 0xD367, 0xD4E1, 0xD65C, 0xD7D9, 0xD958, 0xDAD8, 0xDC59, 0xDDDC, 0xDF61, 0xE0E6, 0xE26D,
+ 0xE3F4, 0xE57D, 0xE707, 0xE892, 0xEA1E, 0xEBAB, 0xED38, 0xEEC6, 0xF055, 0xF1E4, 0xF374, 0xF505, 0xF695,
+ 0xF827, 0xF9B8, 0xFB4A, 0xFCDC, 0xFE6E, 0x0000
+};
diff --git a/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 <code>a*wa + b*wb + c*wc + d*wd</code>
+ *
+ * where
+ * <pre>
+ * a=Table[index-1];
+ * b=Table[index+0];
+ * c=Table[index+1];
+ * d=Table[index+2];
+ * </pre>
+ * and
+ * <pre>
+ * 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;
+ * </pre>
+ */
+
+ /**
+ * @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 <code>Lib</code> 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 <code>arm_math.h</code> which is placed in the <code>Include</code> 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 <code> arm_math.h</code> 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 <code>CMSIS\\DSP_Lib\\Source\\ARM</code> 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
+ *
+ * <hr>
+ * CMSIS-DSP in ARM::CMSIS Pack
+ * -----------------------------
+ *
+ * The following files relevant to CMSIS-DSP are present in the <b>ARM::CMSIS</b> 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 |
+ *
+ * <hr>
+ * 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:
+ * <pre>
+ * 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;
+ * </pre>
+ * 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 <code>numRows X numCols</code>
+ * and the values are arranged in row order. That is, the
+ * matrix element (i, j) is stored at:
+ * <pre>
+ * pData[i*numCols + j]
+ * </pre>
+ *
+ * \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 <code>arm_mat_init_f32()</code>, <code>arm_mat_init_q31()</code>
+ * and <code>arm_mat_init_q15()</code> 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:
+ * <pre>
+ * <code>arm_matrix_instance_f32 S = {nRows, nColumns, pData};</code>
+ * <code>arm_matrix_instance_q31 S = {nRows, nColumns, pData};</code>
+ * <code>arm_matrix_instance_q15 S = {nRows, nColumns, pData};</code>
+ * </pre>
+ * where <code>nRows</code> specifies the number of rows, <code>nColumns</code>
+ * specifies the number of columns, and <code>pData</code> 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:
+ * <pre>
+ * ARM_MATH_SIZE_MISMATCH
+ * </pre>
+ * Otherwise the functions return
+ * <pre>
+ * ARM_MATH_SUCCESS
+ * </pre>
+ * There is some overhead associated with this matrix size checking.
+ * The matrix size checking is enabled via the \#define
+ * <pre>
+ * ARM_MATH_MATRIX_CHECK
+ * </pre>
+ * 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 <code>ARM_MATH_SUCCESS</code>.
+ */
+
+/**
+ * @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
+ * <code>numTaps</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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 <code>ARM_MATH_SIZE_MISMATCH</code>
+ * or <code>ARM_MATH_SUCCESS</code> 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 <code>ARM_MATH_SIZE_MISMATCH</code>
+ * or <code>ARM_MATH_SUCCESS</code> 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 <code>ARM_MATH_SIZE_MISMATCH</code>
+ * or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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 <code>fftLenReal</code> 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 <code>N</code> 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 <code>N</code> 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
+ * <code>blockSize</code> is not a multiple of <code>M</code>.
+ */
+
+ 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
+ * <code>blockSize</code> is not a multiple of <code>M</code>.
+ */
+
+ 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
+ * <code>blockSize</code> is not a multiple of <code>M</code>.
+ */
+
+ 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 <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.
+ */
+
+ 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 <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.
+ */
+
+ 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 <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.
+ */
+
+ 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.
+ * <code>S</code> points to an instance of the PID control data structure. <code>in</code>
+ * is the input sample value. The functions return the output value.
+ *
+ * \par Algorithm:
+ * <pre>
+ * 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 </pre>
+ *
+ * \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.
+ *
+ * <b>Scaling and Overflow Behavior:</b>
+ * \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.
+ *
+ * <b>Scaling and Overflow Behavior:</b>
+ * \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 <code>Ia, Ib and Ic</code> to calculate currents
+ * in the two-phase orthogonal stator axis <code>Ialpha</code> and <code>Ibeta</code>.
+ * When <code>Ialpha</code> is superposed with <code>Ia</code> as shown in the figure below
+ * \image html clarke.gif Stator current space vector and its components in (a,b).
+ * and <code>Ia + Ib + Ic = 0</code>, in this condition <code>Ialpha</code> and <code>Ibeta</code>
+ * can be calculated using only <code>Ia</code> and <code>Ib</code>.
+ *
+ * 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 <code>Ia</code> and <code>Ib</code> are the instantaneous stator phases and
+ * <code>pIalpha</code> and <code>pIbeta</code> 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 <code>a</code>
+ * @param[in] Ib input three-phase coordinate <code>b</code>
+ * @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 <code>a</code>
+ * @param[in] Ib input three-phase coordinate <code>b</code>
+ * @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.
+ *
+ * <b>Scaling and Overflow Behavior:</b>
+ * \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 <code>pIa</code> and <code>pIb</code> are the instantaneous stator phases and
+ * <code>Ialpha</code> and <code>Ibeta</code> 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 <code>a</code>
+ * @param[out] *pIb points to output three-phase coordinate <code>b</code>
+ * @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 <code>a</code>
+ * @param[out] *pIb points to output three-phase coordinate <code>b</code>
+ * @return none.
+ *
+ * <b>Scaling and Overflow Behavior:</b>
+ * \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 <code>Ialpha</code> and the <code>Ibeta</code> 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 <code>Ialpha</code> and <code>Ibeta</code> are the stator vector components,
+ * <code>pId</code> and <code>pIq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> 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.
+ *
+ * <b>Scaling and Overflow Behavior:</b>
+ * \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 <code>pIalpha</code> and <code>pIbeta</code> are the stator vector components,
+ * <code>Id</code> and <code>Iq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> 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.
+ *
+ * <b>Scaling and Overflow Behavior:</b>
+ * \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:
+ * <pre>
+ * 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
+ * </pre>
+ *
+ * \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.
+ * <code>S</code> points to an instance of the Linear Interpolate function data structure.
+ * <code>x</code> 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 <code>x</code> 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 <code>x</code> 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 <code>x</code> 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:
+ * <pre>
+ * x1 = x0 - f(x0)/f'(x0)
+ * </pre>
+ * where <code>x1</code> is the current estimate,
+ * <code>x0</code> is the previous estimate, and
+ * <code>f'(x0)</code> is the derivative of <code>f()</code> evaluated at <code>x0</code>.
+ * For the square root function, the algorithm reduces to:
+ * <pre>
+ * x0 = in/2 [initial guess]
+ * x1 = 1/2 * ( x0 + in / x0) [each iteration]
+ * </pre>
+ */
+
+
+ /**
+ * @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
+ * <code>in</code> 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
+ * <code>in</code> 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
+ * <code>in</code> 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 <code>f(x, y)</code> 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.
+ *
+ * <b>Algorithm</b>
+ * \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:
+ * <pre>
+ * typedef struct
+ * {
+ * uint16_t numRows;
+ * uint16_t numCols;
+ * float32_t *pData;
+ * } arm_bilinear_interp_instance_f32;
+ * </pre>
+ *
+ * \par
+ * where <code>numRows</code> specifies the number of rows in the table;
+ * <code>numCols</code> specifies the number of columns in the table;
+ * and <code>pData</code> points to an array of size <code>numRows*numCols</code> values.
+ * The data table <code>pTable</code> is organized in row order and the supplied data values fall on integer indexes.
+ * That is, table element (x,y) is located at <code>pTable[x + y*numCols]</code> where x and y are integers.
+ *
+ * \par
+ * Let <code>(x, y)</code> specify the desired interpolation point. Then define:
+ * <pre>
+ * XF = floor(x)
+ * YF = floor(y)
+ * </pre>
+ * \par
+ * The interpolated output point is computed as:
+ * <pre>
+ * 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)
+ * </pre>
+ * 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 <stdint.h> #include <stddef.h> -#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 <string.h> +#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<strlen(bits); i++) { + if(bits[i] == '1') { + for(j=0; j<256000; j++) { + buf[i*256000*2 + 2*j] = phase*50; + buf[i*256000*2 + 2*j + 1] = 0; + } + } else { + for(j=0; j<256000; j++) { + buf[i*256000*2 + 2*j] = phase * + (int8_t)(50.0f * cosf(M_PI*(float)j/256000.0f)); + buf[i*256000*2 + 2*j + 1] = 0; + } + phase *= -1; + } + } +} +#endif + diff --git a/src/fsm/psk31.h b/src/fsm/psk31.h new file mode 100644 index 0000000..3e47f4c --- /dev/null +++ b/src/fsm/psk31.h @@ -0,0 +1,184 @@ +/* + * 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. +*/ + +/* An implementation of a BPSK31 generator. + */ + +#ifndef __PSK_31_H_ +#define __PSK_31_H_ +#include <stdint.h> +#include <stddef.h> + +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_ + |