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   1 /* ----------------------------------------------------------------------
   2 * Copyright (C) 2010 ARM Limited. All rights reserved.
   3 *
   4 * $Date:        15. July 2011
   5 * $Revision:    V1.0.10
   6 *
   7 * Project:          CMSIS DSP Library
   8 * Title:            arm_dct4_init_q31.c
   9 *
  10 * Description:  Initialization function of DCT-4 & IDCT4 Q31
  11 *
  12 * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
  13 *
  14 * Version 1.0.10 2011/7/15
  15 *    Big Endian support added and Merged M0 and M3/M4 Source code.
  16 *
  17 * Version 1.0.3 2010/11/29
  18 *    Re-organized the CMSIS folders and updated documentation.
  19 *
  20 * Version 1.0.2 2010/11/11
  21 *    Documentation updated.
  22 *
  23 * Version 1.0.1 2010/10/05
  24 *    Production release and review comments incorporated.
  25 *
  26 * Version 1.0.0 2010/09/20
  27 *    Production release and review comments incorporated.
  28 * -------------------------------------------------------------------- */
  29
  30
  31 #include "arm_math.h"
  32
  33 /**
  34  * @ingroup groupTransforms
  35  */
  36
  37 /**
  38  * @addtogroup DCT4_IDCT4
  39  * @{
  40  */
  41
  42 /*
  43 * @brief  Weights Table
  44 */
  45
  46 /**
  47 * \par
  48 * Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre>
  49 * \par
  50 * C command to generate the table
  51 * <pre>
  52 * for(i = 0; i< N; i++)
  53 * {
  54 *   weights[2*i]= cos(i*c);
  55 *   weights[(2*i)+1]= -sin(i * c);
  56 * } </pre>
  57 * \par
  58 * where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code>
  59 * \par
  60 * Convert the output to q31 format by multiplying with 2^31 and saturated if required.
  61 * \par
  62 * In the tables below the real and imaginary values are placed alternatively, hence the
  63 * array length is <code>2*N</code>.
  64 */
  65
  66 static const q31_t WeightsQ31_128[256] = {
  67   0x7fffffff, 0x0, 0x7ffd885a, 0xfe6de2e0, 0x7ff62182, 0xfcdbd541, 0x7fe9cbc0,
  68   0xfb49e6a3,
  69   0x7fd8878e, 0xf9b82684, 0x7fc25596, 0xf826a462, 0x7fa736b4, 0xf6956fb7,
  70   0x7f872bf3, 0xf50497fb,
  71   0x7f62368f, 0xf3742ca2, 0x7f3857f6, 0xf1e43d1c, 0x7f0991c4, 0xf054d8d5,
  72   0x7ed5e5c6, 0xeec60f31,
  73   0x7e9d55fc, 0xed37ef91, 0x7e5fe493, 0xebaa894f, 0x7e1d93ea, 0xea1debbb,
  74   0x7dd6668f, 0xe8922622,
  75   0x7d8a5f40, 0xe70747c4, 0x7d3980ec, 0xe57d5fda, 0x7ce3ceb2, 0xe3f47d96,
  76   0x7c894bde, 0xe26cb01b,
  77   0x7c29fbee, 0xe0e60685, 0x7bc5e290, 0xdf608fe4, 0x7b5d039e, 0xdddc5b3b,
  78   0x7aef6323, 0xdc597781,
  79   0x7a7d055b, 0xdad7f3a2, 0x7a05eead, 0xd957de7a, 0x798a23b1, 0xd7d946d8,
  80   0x7909a92d, 0xd65c3b7b,
  81   0x78848414, 0xd4e0cb15, 0x77fab989, 0xd3670446, 0x776c4edb, 0xd1eef59e,
  82   0x76d94989, 0xd078ad9e,
  83   0x7641af3d, 0xcf043ab3, 0x75a585cf, 0xcd91ab39, 0x7504d345, 0xcc210d79,
  84   0x745f9dd1, 0xcab26fa9,
  85   0x73b5ebd1, 0xc945dfec, 0x7307c3d0, 0xc7db6c50, 0x72552c85, 0xc67322ce,
  86   0x719e2cd2, 0xc50d1149,
  87   0x70e2cbc6, 0xc3a94590, 0x7023109a, 0xc247cd5a, 0x6f5f02b2, 0xc0e8b648,
  88   0x6e96a99d, 0xbf8c0de3,
  89   0x6dca0d14, 0xbe31e19b, 0x6cf934fc, 0xbcda3ecb, 0x6c242960, 0xbb8532b0,
  90   0x6b4af279, 0xba32ca71,
  91   0x6a6d98a4, 0xb8e31319, 0x698c246c, 0xb796199b, 0x68a69e81, 0xb64beacd,
  92   0x67bd0fbd, 0xb5049368,
  93   0x66cf8120, 0xb3c0200c, 0x65ddfbd3, 0xb27e9d3c, 0x64e88926, 0xb140175b,
  94   0x63ef3290, 0xb0049ab3,
  95   0x62f201ac, 0xaecc336c, 0x61f1003f, 0xad96ed92, 0x60ec3830, 0xac64d510,
  96   0x5fe3b38d, 0xab35f5b5,
  97   0x5ed77c8a, 0xaa0a5b2e, 0x5dc79d7c, 0xa8e21106, 0x5cb420e0, 0xa7bd22ac,
  98   0x5b9d1154, 0xa69b9b68,
  99   0x5a82799a, 0xa57d8666, 0x59646498, 0xa462eeac, 0x5842dd54, 0xa34bdf20,
 100   0x571deefa, 0xa2386284,
 101   0x55f5a4d2, 0xa1288376, 0x54ca0a4b, 0xa01c4c73, 0x539b2af0, 0x9f13c7d0,
 102   0x5269126e, 0x9e0effc1,
 103   0x5133cc94, 0x9d0dfe54, 0x4ffb654d, 0x9c10cd70, 0x4ebfe8a5, 0x9b1776da,
 104   0x4d8162c4, 0x9a22042d,
 105   0x4c3fdff4, 0x99307ee0, 0x4afb6c98, 0x9842f043, 0x49b41533, 0x9759617f,
 106   0x4869e665, 0x9673db94,
 107   0x471cece7, 0x9592675c, 0x45cd358f, 0x94b50d87, 0x447acd50, 0x93dbd6a0,
 108   0x4325c135, 0x9306cb04,
 109   0x41ce1e65, 0x9235f2ec, 0x4073f21d, 0x91695663, 0x3f1749b8, 0x90a0fd4e,
 110   0x3db832a6, 0x8fdcef66,
 111   0x3c56ba70, 0x8f1d343a, 0x3af2eeb7, 0x8e61d32e, 0x398cdd32, 0x8daad37b,
 112   0x382493b0, 0x8cf83c30,
 113   0x36ba2014, 0x8c4a142f, 0x354d9057, 0x8ba0622f, 0x33def287, 0x8afb2cbb,
 114   0x326e54c7, 0x8a5a7a31,
 115   0x30fbc54d, 0x89be50c3, 0x2f875262, 0x8926b677, 0x2e110a62, 0x8893b125,
 116   0x2c98fbba, 0x88054677,
 117   0x2b1f34eb, 0x877b7bec, 0x29a3c485, 0x86f656d3, 0x2826b928, 0x8675dc4f,
 118   0x26a82186, 0x85fa1153,
 119   0x25280c5e, 0x8582faa5, 0x23a6887f, 0x85109cdd, 0x2223a4c5, 0x84a2fc62,
 120   0x209f701c, 0x843a1d70,
 121   0x1f19f97b, 0x83d60412, 0x1d934fe5, 0x8376b422, 0x1c0b826a, 0x831c314e,
 122   0x1a82a026, 0x82c67f14,
 123   0x18f8b83c, 0x8275a0c0, 0x176dd9de, 0x82299971, 0x15e21445, 0x81e26c16,
 124   0x145576b1, 0x81a01b6d,
 125   0x12c8106f, 0x8162aa04, 0x1139f0cf, 0x812a1a3a, 0xfab272b, 0x80f66e3c,
 126   0xe1bc2e4, 0x80c7a80a,
 127   0xc8bd35e, 0x809dc971, 0xafb6805, 0x8078d40d, 0x96a9049, 0x8058c94c,
 128   0x7d95b9e, 0x803daa6a,
 129   0x647d97c, 0x80277872, 0x4b6195d, 0x80163440, 0x3242abf, 0x8009de7e,
 130   0x1921d20, 0x800277a6,
 131 };
 132
 133 static const q31_t WeightsQ31_512[1024] = {
 134   0x7fffffff, 0x0, 0x7fffd886, 0xff9b781d, 0x7fff6216, 0xff36f078, 0x7ffe9cb2,
 135   0xfed2694f,
 136   0x7ffd885a, 0xfe6de2e0, 0x7ffc250f, 0xfe095d69, 0x7ffa72d1, 0xfda4d929,
 137   0x7ff871a2, 0xfd40565c,
 138   0x7ff62182, 0xfcdbd541, 0x7ff38274, 0xfc775616, 0x7ff09478, 0xfc12d91a,
 139   0x7fed5791, 0xfbae5e89,
 140   0x7fe9cbc0, 0xfb49e6a3, 0x7fe5f108, 0xfae571a4, 0x7fe1c76b, 0xfa80ffcb,
 141   0x7fdd4eec, 0xfa1c9157,
 142   0x7fd8878e, 0xf9b82684, 0x7fd37153, 0xf953bf91, 0x7fce0c3e, 0xf8ef5cbb,
 143   0x7fc85854, 0xf88afe42,
 144   0x7fc25596, 0xf826a462, 0x7fbc040a, 0xf7c24f59, 0x7fb563b3, 0xf75dff66,
 145   0x7fae7495, 0xf6f9b4c6,
 146   0x7fa736b4, 0xf6956fb7, 0x7f9faa15, 0xf6313077, 0x7f97cebd, 0xf5ccf743,
 147   0x7f8fa4b0, 0xf568c45b,
 148   0x7f872bf3, 0xf50497fb, 0x7f7e648c, 0xf4a07261, 0x7f754e80, 0xf43c53cb,
 149   0x7f6be9d4, 0xf3d83c77,
 150   0x7f62368f, 0xf3742ca2, 0x7f5834b7, 0xf310248a, 0x7f4de451, 0xf2ac246e,
 151   0x7f434563, 0xf2482c8a,
 152   0x7f3857f6, 0xf1e43d1c, 0x7f2d1c0e, 0xf1805662, 0x7f2191b4, 0xf11c789a,
 153   0x7f15b8ee, 0xf0b8a401,
 154   0x7f0991c4, 0xf054d8d5, 0x7efd1c3c, 0xeff11753, 0x7ef05860, 0xef8d5fb8,
 155   0x7ee34636, 0xef29b243,
 156   0x7ed5e5c6, 0xeec60f31, 0x7ec8371a, 0xee6276bf, 0x7eba3a39, 0xedfee92b,
 157   0x7eabef2c, 0xed9b66b2,
 158   0x7e9d55fc, 0xed37ef91, 0x7e8e6eb2, 0xecd48407, 0x7e7f3957, 0xec71244f,
 159   0x7e6fb5f4, 0xec0dd0a8,
 160   0x7e5fe493, 0xebaa894f, 0x7e4fc53e, 0xeb474e81, 0x7e3f57ff, 0xeae4207a,
 161   0x7e2e9cdf, 0xea80ff7a,
 162   0x7e1d93ea, 0xea1debbb, 0x7e0c3d29, 0xe9bae57d, 0x7dfa98a8, 0xe957ecfb,
 163   0x7de8a670, 0xe8f50273,
 164   0x7dd6668f, 0xe8922622, 0x7dc3d90d, 0xe82f5844, 0x7db0fdf8, 0xe7cc9917,
 165   0x7d9dd55a, 0xe769e8d8,
 166   0x7d8a5f40, 0xe70747c4, 0x7d769bb5, 0xe6a4b616, 0x7d628ac6, 0xe642340d,
 167   0x7d4e2c7f, 0xe5dfc1e5,
 168   0x7d3980ec, 0xe57d5fda, 0x7d24881b, 0xe51b0e2a, 0x7d0f4218, 0xe4b8cd11,
 169   0x7cf9aef0, 0xe4569ccb,
 170   0x7ce3ceb2, 0xe3f47d96, 0x7ccda169, 0xe3926fad, 0x7cb72724, 0xe330734d,
 171   0x7ca05ff1, 0xe2ce88b3,
 172   0x7c894bde, 0xe26cb01b, 0x7c71eaf9, 0xe20ae9c1, 0x7c5a3d50, 0xe1a935e2,
 173   0x7c4242f2, 0xe14794ba,
 174   0x7c29fbee, 0xe0e60685, 0x7c116853, 0xe0848b7f, 0x7bf88830, 0xe02323e5,
 175   0x7bdf5b94, 0xdfc1cff3,
 176   0x7bc5e290, 0xdf608fe4, 0x7bac1d31, 0xdeff63f4, 0x7b920b89, 0xde9e4c60,
 177   0x7b77ada8, 0xde3d4964,
 178   0x7b5d039e, 0xdddc5b3b, 0x7b420d7a, 0xdd7b8220, 0x7b26cb4f, 0xdd1abe51,
 179   0x7b0b3d2c, 0xdcba1008,
 180   0x7aef6323, 0xdc597781, 0x7ad33d45, 0xdbf8f4f8, 0x7ab6cba4, 0xdb9888a8,
 181   0x7a9a0e50, 0xdb3832cd,
 182   0x7a7d055b, 0xdad7f3a2, 0x7a5fb0d8, 0xda77cb63, 0x7a4210d8, 0xda17ba4a,
 183   0x7a24256f, 0xd9b7c094,
 184   0x7a05eead, 0xd957de7a, 0x79e76ca7, 0xd8f81439, 0x79c89f6e, 0xd898620c,
 185   0x79a98715, 0xd838c82d,
 186   0x798a23b1, 0xd7d946d8, 0x796a7554, 0xd779de47, 0x794a7c12, 0xd71a8eb5,
 187   0x792a37fe, 0xd6bb585e,
 188   0x7909a92d, 0xd65c3b7b, 0x78e8cfb2, 0xd5fd3848, 0x78c7aba2, 0xd59e4eff,
 189   0x78a63d11, 0xd53f7fda,
 190   0x78848414, 0xd4e0cb15, 0x786280bf, 0xd48230e9, 0x78403329, 0xd423b191,
 191   0x781d9b65, 0xd3c54d47,
 192   0x77fab989, 0xd3670446, 0x77d78daa, 0xd308d6c7, 0x77b417df, 0xd2aac504,
 193   0x7790583e, 0xd24ccf39,
 194   0x776c4edb, 0xd1eef59e, 0x7747fbce, 0xd191386e, 0x77235f2d, 0xd13397e2,
 195   0x76fe790e, 0xd0d61434,
 196   0x76d94989, 0xd078ad9e, 0x76b3d0b4, 0xd01b6459, 0x768e0ea6, 0xcfbe389f,
 197   0x76680376, 0xcf612aaa,
 198   0x7641af3d, 0xcf043ab3, 0x761b1211, 0xcea768f2, 0x75f42c0b, 0xce4ab5a2,
 199   0x75ccfd42, 0xcdee20fc,
 200   0x75a585cf, 0xcd91ab39, 0x757dc5ca, 0xcd355491, 0x7555bd4c, 0xccd91d3d,
 201   0x752d6c6c, 0xcc7d0578,
 202   0x7504d345, 0xcc210d79, 0x74dbf1ef, 0xcbc53579, 0x74b2c884, 0xcb697db0,
 203   0x7489571c, 0xcb0de658,
 204   0x745f9dd1, 0xcab26fa9, 0x74359cbd, 0xca5719db, 0x740b53fb, 0xc9fbe527,
 205   0x73e0c3a3, 0xc9a0d1c5,
 206   0x73b5ebd1, 0xc945dfec, 0x738acc9e, 0xc8eb0fd6, 0x735f6626, 0xc89061ba,
 207   0x7333b883, 0xc835d5d0,
 208   0x7307c3d0, 0xc7db6c50, 0x72db8828, 0xc7812572, 0x72af05a7, 0xc727016d,
 209   0x72823c67, 0xc6cd0079,
 210   0x72552c85, 0xc67322ce, 0x7227d61c, 0xc61968a2, 0x71fa3949, 0xc5bfd22e,
 211   0x71cc5626, 0xc5665fa9,
 212   0x719e2cd2, 0xc50d1149, 0x716fbd68, 0xc4b3e746, 0x71410805, 0xc45ae1d7,
 213   0x71120cc5, 0xc4020133,
 214   0x70e2cbc6, 0xc3a94590, 0x70b34525, 0xc350af26, 0x708378ff, 0xc2f83e2a,
 215   0x70536771, 0xc29ff2d4,
 216   0x7023109a, 0xc247cd5a, 0x6ff27497, 0xc1efcdf3, 0x6fc19385, 0xc197f4d4,
 217   0x6f906d84, 0xc1404233,
 218   0x6f5f02b2, 0xc0e8b648, 0x6f2d532c, 0xc0915148, 0x6efb5f12, 0xc03a1368,
 219   0x6ec92683, 0xbfe2fcdf,
 220   0x6e96a99d, 0xbf8c0de3, 0x6e63e87f, 0xbf3546a8, 0x6e30e34a, 0xbedea765,
 221   0x6dfd9a1c, 0xbe88304f,
 222   0x6dca0d14, 0xbe31e19b, 0x6d963c54, 0xbddbbb7f, 0x6d6227fa, 0xbd85be30,
 223   0x6d2dd027, 0xbd2fe9e2,
 224   0x6cf934fc, 0xbcda3ecb, 0x6cc45698, 0xbc84bd1f, 0x6c8f351c, 0xbc2f6513,
 225   0x6c59d0a9, 0xbbda36dd,
 226   0x6c242960, 0xbb8532b0, 0x6bee3f62, 0xbb3058c0, 0x6bb812d1, 0xbadba943,
 227   0x6b81a3cd, 0xba87246d,
 228   0x6b4af279, 0xba32ca71, 0x6b13fef5, 0xb9de9b83, 0x6adcc964, 0xb98a97d8,
 229   0x6aa551e9, 0xb936bfa4,
 230   0x6a6d98a4, 0xb8e31319, 0x6a359db9, 0xb88f926d, 0x69fd614a, 0xb83c3dd1,
 231   0x69c4e37a, 0xb7e9157a,
 232   0x698c246c, 0xb796199b, 0x69532442, 0xb7434a67, 0x6919e320, 0xb6f0a812,
 233   0x68e06129, 0xb69e32cd,
 234   0x68a69e81, 0xb64beacd, 0x686c9b4b, 0xb5f9d043, 0x683257ab, 0xb5a7e362,
 235   0x67f7d3c5, 0xb556245e,
 236   0x67bd0fbd, 0xb5049368, 0x67820bb7, 0xb4b330b3, 0x6746c7d8, 0xb461fc70,
 237   0x670b4444, 0xb410f6d3,
 238   0x66cf8120, 0xb3c0200c, 0x66937e91, 0xb36f784f, 0x66573cbb, 0xb31effcc,
 239   0x661abbc5, 0xb2ceb6b5,
 240   0x65ddfbd3, 0xb27e9d3c, 0x65a0fd0b, 0xb22eb392, 0x6563bf92, 0xb1def9e9,
 241   0x6526438f, 0xb18f7071,
 242   0x64e88926, 0xb140175b, 0x64aa907f, 0xb0f0eeda, 0x646c59bf, 0xb0a1f71d,
 243   0x642de50d, 0xb0533055,
 244   0x63ef3290, 0xb0049ab3, 0x63b0426d, 0xafb63667, 0x637114cc, 0xaf6803a2,
 245   0x6331a9d4, 0xaf1a0293,
 246   0x62f201ac, 0xaecc336c, 0x62b21c7b, 0xae7e965b, 0x6271fa69, 0xae312b92,
 247   0x62319b9d, 0xade3f33e,
 248   0x61f1003f, 0xad96ed92, 0x61b02876, 0xad4a1aba, 0x616f146c, 0xacfd7ae8,
 249   0x612dc447, 0xacb10e4b,
 250   0x60ec3830, 0xac64d510, 0x60aa7050, 0xac18cf69, 0x60686ccf, 0xabccfd83,
 251   0x60262dd6, 0xab815f8d,
 252   0x5fe3b38d, 0xab35f5b5, 0x5fa0fe1f, 0xaaeac02c, 0x5f5e0db3, 0xaa9fbf1e,
 253   0x5f1ae274, 0xaa54f2ba,
 254   0x5ed77c8a, 0xaa0a5b2e, 0x5e93dc1f, 0xa9bff8a8, 0x5e50015d, 0xa975cb57,
 255   0x5e0bec6e, 0xa92bd367,
 256   0x5dc79d7c, 0xa8e21106, 0x5d8314b1, 0xa8988463, 0x5d3e5237, 0xa84f2daa,
 257   0x5cf95638, 0xa8060d08,
 258   0x5cb420e0, 0xa7bd22ac, 0x5c6eb258, 0xa7746ec0, 0x5c290acc, 0xa72bf174,
 259   0x5be32a67, 0xa6e3aaf2,
 260   0x5b9d1154, 0xa69b9b68, 0x5b56bfbd, 0xa653c303, 0x5b1035cf, 0xa60c21ee,
 261   0x5ac973b5, 0xa5c4b855,
 262   0x5a82799a, 0xa57d8666, 0x5a3b47ab, 0xa5368c4b, 0x59f3de12, 0xa4efca31,
 263   0x59ac3cfd, 0xa4a94043,
 264   0x59646498, 0xa462eeac, 0x591c550e, 0xa41cd599, 0x58d40e8c, 0xa3d6f534,
 265   0x588b9140, 0xa3914da8,
 266   0x5842dd54, 0xa34bdf20, 0x57f9f2f8, 0xa306a9c8, 0x57b0d256, 0xa2c1adc9,
 267   0x57677b9d, 0xa27ceb4f,
 268   0x571deefa, 0xa2386284, 0x56d42c99, 0xa1f41392, 0x568a34a9, 0xa1affea3,
 269   0x56400758, 0xa16c23e1,
 270   0x55f5a4d2, 0xa1288376, 0x55ab0d46, 0xa0e51d8c, 0x556040e2, 0xa0a1f24d,
 271   0x55153fd4, 0xa05f01e1,
 272   0x54ca0a4b, 0xa01c4c73, 0x547ea073, 0x9fd9d22a, 0x5433027d, 0x9f979331,
 273   0x53e73097, 0x9f558fb0,
 274   0x539b2af0, 0x9f13c7d0, 0x534ef1b5, 0x9ed23bb9, 0x53028518, 0x9e90eb94,
 275   0x52b5e546, 0x9e4fd78a,
 276   0x5269126e, 0x9e0effc1, 0x521c0cc2, 0x9dce6463, 0x51ced46e, 0x9d8e0597,
 277   0x518169a5, 0x9d4de385,
 278   0x5133cc94, 0x9d0dfe54, 0x50e5fd6d, 0x9cce562c, 0x5097fc5e, 0x9c8eeb34,
 279   0x5049c999, 0x9c4fbd93,
 280   0x4ffb654d, 0x9c10cd70, 0x4faccfab, 0x9bd21af3, 0x4f5e08e3, 0x9b93a641,
 281   0x4f0f1126, 0x9b556f81,
 282   0x4ebfe8a5, 0x9b1776da, 0x4e708f8f, 0x9ad9bc71, 0x4e210617, 0x9a9c406e,
 283   0x4dd14c6e, 0x9a5f02f5,
 284   0x4d8162c4, 0x9a22042d, 0x4d31494b, 0x99e5443b, 0x4ce10034, 0x99a8c345,
 285   0x4c9087b1, 0x996c816f,
 286   0x4c3fdff4, 0x99307ee0, 0x4bef092d, 0x98f4bbbc, 0x4b9e0390, 0x98b93828,
 287   0x4b4ccf4d, 0x987df449,
 288   0x4afb6c98, 0x9842f043, 0x4aa9dba2, 0x98082c3b, 0x4a581c9e, 0x97cda855,
 289   0x4a062fbd, 0x979364b5,
 290   0x49b41533, 0x9759617f, 0x4961cd33, 0x971f9ed7, 0x490f57ee, 0x96e61ce0,
 291   0x48bcb599, 0x96acdbbe,
 292   0x4869e665, 0x9673db94, 0x4816ea86, 0x963b1c86, 0x47c3c22f, 0x96029eb6,
 293   0x47706d93, 0x95ca6247,
 294   0x471cece7, 0x9592675c, 0x46c9405c, 0x955aae17, 0x46756828, 0x9523369c,
 295   0x4621647d, 0x94ec010b,
 296   0x45cd358f, 0x94b50d87, 0x4578db93, 0x947e5c33, 0x452456bd, 0x9447ed2f,
 297   0x44cfa740, 0x9411c09e,
 298   0x447acd50, 0x93dbd6a0, 0x4425c923, 0x93a62f57, 0x43d09aed, 0x9370cae4,
 299   0x437b42e1, 0x933ba968,
 300   0x4325c135, 0x9306cb04, 0x42d0161e, 0x92d22fd9, 0x427a41d0, 0x929dd806,
 301   0x42244481, 0x9269c3ac,
 302   0x41ce1e65, 0x9235f2ec, 0x4177cfb1, 0x920265e4, 0x4121589b, 0x91cf1cb6,
 303   0x40cab958, 0x919c1781,
 304   0x4073f21d, 0x91695663, 0x401d0321, 0x9136d97d, 0x3fc5ec98, 0x9104a0ee,
 305   0x3f6eaeb8, 0x90d2acd4,
 306   0x3f1749b8, 0x90a0fd4e, 0x3ebfbdcd, 0x906f927c, 0x3e680b2c, 0x903e6c7b,
 307   0x3e10320d, 0x900d8b69,
 308   0x3db832a6, 0x8fdcef66, 0x3d600d2c, 0x8fac988f, 0x3d07c1d6, 0x8f7c8701,
 309   0x3caf50da, 0x8f4cbadb,
 310   0x3c56ba70, 0x8f1d343a, 0x3bfdfecd, 0x8eedf33b, 0x3ba51e29, 0x8ebef7fb,
 311   0x3b4c18ba, 0x8e904298,
 312   0x3af2eeb7, 0x8e61d32e, 0x3a99a057, 0x8e33a9da, 0x3a402dd2, 0x8e05c6b7,
 313   0x39e6975e, 0x8dd829e4,
 314   0x398cdd32, 0x8daad37b, 0x3932ff87, 0x8d7dc399, 0x38d8fe93, 0x8d50fa59,
 315   0x387eda8e, 0x8d2477d8,
 316   0x382493b0, 0x8cf83c30, 0x37ca2a30, 0x8ccc477d, 0x376f9e46, 0x8ca099da,
 317   0x3714f02a, 0x8c753362,
 318   0x36ba2014, 0x8c4a142f, 0x365f2e3b, 0x8c1f3c5d, 0x36041ad9, 0x8bf4ac05,
 319   0x35a8e625, 0x8bca6343,
 320   0x354d9057, 0x8ba0622f, 0x34f219a8, 0x8b76a8e4, 0x34968250, 0x8b4d377c,
 321   0x343aca87, 0x8b240e11,
 322   0x33def287, 0x8afb2cbb, 0x3382fa88, 0x8ad29394, 0x3326e2c3, 0x8aaa42b4,
 323   0x32caab6f, 0x8a823a36,
 324   0x326e54c7, 0x8a5a7a31, 0x3211df04, 0x8a3302be, 0x31b54a5e, 0x8a0bd3f5,
 325   0x3158970e, 0x89e4edef,
 326   0x30fbc54d, 0x89be50c3, 0x309ed556, 0x8997fc8a, 0x3041c761, 0x8971f15a,
 327   0x2fe49ba7, 0x894c2f4c,
 328   0x2f875262, 0x8926b677, 0x2f29ebcc, 0x890186f2, 0x2ecc681e, 0x88dca0d3,
 329   0x2e6ec792, 0x88b80432,
 330   0x2e110a62, 0x8893b125, 0x2db330c7, 0x886fa7c2, 0x2d553afc, 0x884be821,
 331   0x2cf72939, 0x88287256,
 332   0x2c98fbba, 0x88054677, 0x2c3ab2b9, 0x87e2649b, 0x2bdc4e6f, 0x87bfccd7,
 333   0x2b7dcf17, 0x879d7f41,
 334   0x2b1f34eb, 0x877b7bec, 0x2ac08026, 0x8759c2ef, 0x2a61b101, 0x8738545e,
 335   0x2a02c7b8, 0x8717304e,
 336   0x29a3c485, 0x86f656d3, 0x2944a7a2, 0x86d5c802, 0x28e5714b, 0x86b583ee,
 337   0x288621b9, 0x86958aac,
 338   0x2826b928, 0x8675dc4f, 0x27c737d3, 0x865678eb, 0x27679df4, 0x86376092,
 339   0x2707ebc7, 0x86189359,
 340   0x26a82186, 0x85fa1153, 0x26483f6c, 0x85dbda91, 0x25e845b6, 0x85bdef28,
 341   0x2588349d, 0x85a04f28,
 342   0x25280c5e, 0x8582faa5, 0x24c7cd33, 0x8565f1b0, 0x24677758, 0x8549345c,
 343   0x24070b08, 0x852cc2bb,
 344   0x23a6887f, 0x85109cdd, 0x2345eff8, 0x84f4c2d4, 0x22e541af, 0x84d934b1,
 345   0x22847de0, 0x84bdf286,
 346   0x2223a4c5, 0x84a2fc62, 0x21c2b69c, 0x84885258, 0x2161b3a0, 0x846df477,
 347   0x21009c0c, 0x8453e2cf,
 348   0x209f701c, 0x843a1d70, 0x203e300d, 0x8420a46c, 0x1fdcdc1b, 0x840777d0,
 349   0x1f7b7481, 0x83ee97ad,
 350   0x1f19f97b, 0x83d60412, 0x1eb86b46, 0x83bdbd0e, 0x1e56ca1e, 0x83a5c2b0,
 351   0x1df5163f, 0x838e1507,
 352   0x1d934fe5, 0x8376b422, 0x1d31774d, 0x835fa00f, 0x1ccf8cb3, 0x8348d8dc,
 353   0x1c6d9053, 0x83325e97,
 354   0x1c0b826a, 0x831c314e, 0x1ba96335, 0x83065110, 0x1b4732ef, 0x82f0bde8,
 355   0x1ae4f1d6, 0x82db77e5,
 356   0x1a82a026, 0x82c67f14, 0x1a203e1b, 0x82b1d381, 0x19bdcbf3, 0x829d753a,
 357   0x195b49ea, 0x8289644b,
 358   0x18f8b83c, 0x8275a0c0, 0x18961728, 0x82622aa6, 0x183366e9, 0x824f0208,
 359   0x17d0a7bc, 0x823c26f3,
 360   0x176dd9de, 0x82299971, 0x170afd8d, 0x82175990, 0x16a81305, 0x82056758,
 361   0x16451a83, 0x81f3c2d7,
 362   0x15e21445, 0x81e26c16, 0x157f0086, 0x81d16321, 0x151bdf86, 0x81c0a801,
 363   0x14b8b17f, 0x81b03ac2,
 364   0x145576b1, 0x81a01b6d, 0x13f22f58, 0x81904a0c, 0x138edbb1, 0x8180c6a9,
 365   0x132b7bf9, 0x8171914e,
 366   0x12c8106f, 0x8162aa04, 0x1264994e, 0x815410d4, 0x120116d5, 0x8145c5c7,
 367   0x119d8941, 0x8137c8e6,
 368   0x1139f0cf, 0x812a1a3a, 0x10d64dbd, 0x811cb9ca, 0x1072a048, 0x810fa7a0,
 369   0x100ee8ad, 0x8102e3c4,
 370   0xfab272b, 0x80f66e3c, 0xf475bff, 0x80ea4712, 0xee38766, 0x80de6e4c,
 371   0xe7fa99e, 0x80d2e3f2,
 372   0xe1bc2e4, 0x80c7a80a, 0xdb7d376, 0x80bcba9d, 0xd53db92, 0x80b21baf,
 373   0xcefdb76, 0x80a7cb49,
 374   0xc8bd35e, 0x809dc971, 0xc27c389, 0x8094162c, 0xbc3ac35, 0x808ab180,
 375   0xb5f8d9f, 0x80819b74,
 376   0xafb6805, 0x8078d40d, 0xa973ba5, 0x80705b50, 0xa3308bd, 0x80683143,
 377   0x9cecf89, 0x806055eb,
 378   0x96a9049, 0x8058c94c, 0x9064b3a, 0x80518b6b, 0x8a2009a, 0x804a9c4d,
 379   0x83db0a7, 0x8043fbf6,
 380   0x7d95b9e, 0x803daa6a, 0x77501be, 0x8037a7ac, 0x710a345, 0x8031f3c2,
 381   0x6ac406f, 0x802c8ead,
 382   0x647d97c, 0x80277872, 0x5e36ea9, 0x8022b114, 0x57f0035, 0x801e3895,
 383   0x51a8e5c, 0x801a0ef8,
 384   0x4b6195d, 0x80163440, 0x451a177, 0x8012a86f, 0x3ed26e6, 0x800f6b88,
 385   0x388a9ea, 0x800c7d8c,
 386   0x3242abf, 0x8009de7e, 0x2bfa9a4, 0x80078e5e, 0x25b26d7, 0x80058d2f,
 387   0x1f6a297, 0x8003daf1,
 388   0x1921d20, 0x800277a6, 0x12d96b1, 0x8001634e, 0xc90f88, 0x80009dea,
 389   0x6487e3, 0x8000277a,
 390 };
 391
 392 static const q31_t WeightsQ31_2048[4096] = {
 393   0x7fffffff, 0x0, 0x7ffffd88, 0xffe6de05, 0x7ffff621, 0xffcdbc0b, 0x7fffe9cb,
 394   0xffb49a12,
 395   0x7fffd886, 0xff9b781d, 0x7fffc251, 0xff82562c, 0x7fffa72c, 0xff69343f,
 396   0x7fff8719, 0xff501258,
 397   0x7fff6216, 0xff36f078, 0x7fff3824, 0xff1dcea0, 0x7fff0943, 0xff04acd0,
 398   0x7ffed572, 0xfeeb8b0a,
 399   0x7ffe9cb2, 0xfed2694f, 0x7ffe5f03, 0xfeb947a0, 0x7ffe1c65, 0xfea025fd,
 400   0x7ffdd4d7, 0xfe870467,
 401   0x7ffd885a, 0xfe6de2e0, 0x7ffd36ee, 0xfe54c169, 0x7ffce093, 0xfe3ba002,
 402   0x7ffc8549, 0xfe227eac,
 403   0x7ffc250f, 0xfe095d69, 0x7ffbbfe6, 0xfdf03c3a, 0x7ffb55ce, 0xfdd71b1e,
 404   0x7ffae6c7, 0xfdbdfa18,
 405   0x7ffa72d1, 0xfda4d929, 0x7ff9f9ec, 0xfd8bb850, 0x7ff97c18, 0xfd729790,
 406   0x7ff8f954, 0xfd5976e9,
 407   0x7ff871a2, 0xfd40565c, 0x7ff7e500, 0xfd2735ea, 0x7ff75370, 0xfd0e1594,
 408   0x7ff6bcf0, 0xfcf4f55c,
 409   0x7ff62182, 0xfcdbd541, 0x7ff58125, 0xfcc2b545, 0x7ff4dbd9, 0xfca9956a,
 410   0x7ff4319d, 0xfc9075af,
 411   0x7ff38274, 0xfc775616, 0x7ff2ce5b, 0xfc5e36a0, 0x7ff21553, 0xfc45174e,
 412   0x7ff1575d, 0xfc2bf821,
 413   0x7ff09478, 0xfc12d91a, 0x7fefcca4, 0xfbf9ba39, 0x7feeffe1, 0xfbe09b80,
 414   0x7fee2e30, 0xfbc77cf0,
 415   0x7fed5791, 0xfbae5e89, 0x7fec7c02, 0xfb95404d, 0x7feb9b85, 0xfb7c223d,
 416   0x7feab61a, 0xfb630459,
 417   0x7fe9cbc0, 0xfb49e6a3, 0x7fe8dc78, 0xfb30c91b, 0x7fe7e841, 0xfb17abc2,
 418   0x7fe6ef1c, 0xfafe8e9b,
 419   0x7fe5f108, 0xfae571a4, 0x7fe4ee06, 0xfacc54e0, 0x7fe3e616, 0xfab3384f,
 420   0x7fe2d938, 0xfa9a1bf3,
 421   0x7fe1c76b, 0xfa80ffcb, 0x7fe0b0b1, 0xfa67e3da, 0x7fdf9508, 0xfa4ec821,
 422   0x7fde7471, 0xfa35ac9f,
 423   0x7fdd4eec, 0xfa1c9157, 0x7fdc247a, 0xfa037648, 0x7fdaf519, 0xf9ea5b75,
 424   0x7fd9c0ca, 0xf9d140de,
 425   0x7fd8878e, 0xf9b82684, 0x7fd74964, 0xf99f0c68, 0x7fd6064c, 0xf985f28a,
 426   0x7fd4be46, 0xf96cd8ed,
 427   0x7fd37153, 0xf953bf91, 0x7fd21f72, 0xf93aa676, 0x7fd0c8a3, 0xf9218d9e,
 428   0x7fcf6ce8, 0xf908750a,
 429   0x7fce0c3e, 0xf8ef5cbb, 0x7fcca6a7, 0xf8d644b2, 0x7fcb3c23, 0xf8bd2cef,
 430   0x7fc9ccb2, 0xf8a41574,
 431   0x7fc85854, 0xf88afe42, 0x7fc6df08, 0xf871e759, 0x7fc560cf, 0xf858d0bb,
 432   0x7fc3dda9, 0xf83fba68,
 433   0x7fc25596, 0xf826a462, 0x7fc0c896, 0xf80d8ea9, 0x7fbf36aa, 0xf7f4793e,
 434   0x7fbd9fd0, 0xf7db6423,
 435   0x7fbc040a, 0xf7c24f59, 0x7fba6357, 0xf7a93ae0, 0x7fb8bdb8, 0xf79026b9,
 436   0x7fb7132b, 0xf77712e5,
 437   0x7fb563b3, 0xf75dff66, 0x7fb3af4e, 0xf744ec3b, 0x7fb1f5fc, 0xf72bd967,
 438   0x7fb037bf, 0xf712c6ea,
 439   0x7fae7495, 0xf6f9b4c6, 0x7facac7f, 0xf6e0a2fa, 0x7faadf7c, 0xf6c79188,
 440   0x7fa90d8e, 0xf6ae8071,
 441   0x7fa736b4, 0xf6956fb7, 0x7fa55aee, 0xf67c5f59, 0x7fa37a3c, 0xf6634f59,
 442   0x7fa1949e, 0xf64a3fb8,
 443   0x7f9faa15, 0xf6313077, 0x7f9dbaa0, 0xf6182196, 0x7f9bc640, 0xf5ff1318,
 444   0x7f99ccf4, 0xf5e604fc,
 445   0x7f97cebd, 0xf5ccf743, 0x7f95cb9a, 0xf5b3e9f0, 0x7f93c38c, 0xf59add02,
 446   0x7f91b694, 0xf581d07b,
 447   0x7f8fa4b0, 0xf568c45b, 0x7f8d8de1, 0xf54fb8a4, 0x7f8b7227, 0xf536ad56,
 448   0x7f895182, 0xf51da273,
 449   0x7f872bf3, 0xf50497fb, 0x7f850179, 0xf4eb8def, 0x7f82d214, 0xf4d28451,
 450   0x7f809dc5, 0xf4b97b21,
 451   0x7f7e648c, 0xf4a07261, 0x7f7c2668, 0xf4876a10, 0x7f79e35a, 0xf46e6231,
 452   0x7f779b62, 0xf4555ac5,
 453   0x7f754e80, 0xf43c53cb, 0x7f72fcb4, 0xf4234d45, 0x7f70a5fe, 0xf40a4735,
 454   0x7f6e4a5e, 0xf3f1419a,
 455   0x7f6be9d4, 0xf3d83c77, 0x7f698461, 0xf3bf37cb, 0x7f671a05, 0xf3a63398,
 456   0x7f64aabf, 0xf38d2fe0,
 457   0x7f62368f, 0xf3742ca2, 0x7f5fbd77, 0xf35b29e0, 0x7f5d3f75, 0xf342279b,
 458   0x7f5abc8a, 0xf32925d3,
 459   0x7f5834b7, 0xf310248a, 0x7f55a7fa, 0xf2f723c1, 0x7f531655, 0xf2de2379,
 460   0x7f507fc7, 0xf2c523b2,
 461   0x7f4de451, 0xf2ac246e, 0x7f4b43f2, 0xf29325ad, 0x7f489eaa, 0xf27a2771,
 462   0x7f45f47b, 0xf26129ba,
 463   0x7f434563, 0xf2482c8a, 0x7f409164, 0xf22f2fe1, 0x7f3dd87c, 0xf21633c0,
 464   0x7f3b1aad, 0xf1fd3829,
 465   0x7f3857f6, 0xf1e43d1c, 0x7f359057, 0xf1cb429a, 0x7f32c3d1, 0xf1b248a5,
 466   0x7f2ff263, 0xf1994f3d,
 467   0x7f2d1c0e, 0xf1805662, 0x7f2a40d2, 0xf1675e17, 0x7f2760af, 0xf14e665c,
 468   0x7f247ba5, 0xf1356f32,
 469   0x7f2191b4, 0xf11c789a, 0x7f1ea2dc, 0xf1038295, 0x7f1baf1e, 0xf0ea8d24,
 470   0x7f18b679, 0xf0d19848,
 471   0x7f15b8ee, 0xf0b8a401, 0x7f12b67c, 0xf09fb051, 0x7f0faf25, 0xf086bd39,
 472   0x7f0ca2e7, 0xf06dcaba,
 473   0x7f0991c4, 0xf054d8d5, 0x7f067bba, 0xf03be78a, 0x7f0360cb, 0xf022f6da,
 474   0x7f0040f6, 0xf00a06c8,
 475   0x7efd1c3c, 0xeff11753, 0x7ef9f29d, 0xefd8287c, 0x7ef6c418, 0xefbf3a45,
 476   0x7ef390ae, 0xefa64cae,
 477   0x7ef05860, 0xef8d5fb8, 0x7eed1b2c, 0xef747365, 0x7ee9d914, 0xef5b87b5,
 478   0x7ee69217, 0xef429caa,
 479   0x7ee34636, 0xef29b243, 0x7edff570, 0xef10c883, 0x7edc9fc6, 0xeef7df6a,
 480   0x7ed94538, 0xeedef6f9,
 481   0x7ed5e5c6, 0xeec60f31, 0x7ed28171, 0xeead2813, 0x7ecf1837, 0xee9441a0,
 482   0x7ecbaa1a, 0xee7b5bd9,
 483   0x7ec8371a, 0xee6276bf, 0x7ec4bf36, 0xee499253, 0x7ec14270, 0xee30ae96,
 484   0x7ebdc0c6, 0xee17cb88,
 485   0x7eba3a39, 0xedfee92b, 0x7eb6aeca, 0xede60780, 0x7eb31e78, 0xedcd2687,
 486   0x7eaf8943, 0xedb44642,
 487   0x7eabef2c, 0xed9b66b2, 0x7ea85033, 0xed8287d7, 0x7ea4ac58, 0xed69a9b3,
 488   0x7ea1039b, 0xed50cc46,
 489   0x7e9d55fc, 0xed37ef91, 0x7e99a37c, 0xed1f1396, 0x7e95ec1a, 0xed063856,
 490   0x7e922fd6, 0xeced5dd0,
 491   0x7e8e6eb2, 0xecd48407, 0x7e8aa8ac, 0xecbbaafb, 0x7e86ddc6, 0xeca2d2ad,
 492   0x7e830dff, 0xec89fb1e,
 493   0x7e7f3957, 0xec71244f, 0x7e7b5fce, 0xec584e41, 0x7e778166, 0xec3f78f6,
 494   0x7e739e1d, 0xec26a46d,
 495   0x7e6fb5f4, 0xec0dd0a8, 0x7e6bc8eb, 0xebf4fda8, 0x7e67d703, 0xebdc2b6e,
 496   0x7e63e03b, 0xebc359fb,
 497   0x7e5fe493, 0xebaa894f, 0x7e5be40c, 0xeb91b96c, 0x7e57dea7, 0xeb78ea52,
 498   0x7e53d462, 0xeb601c04,
 499   0x7e4fc53e, 0xeb474e81, 0x7e4bb13c, 0xeb2e81ca, 0x7e47985b, 0xeb15b5e1,
 500   0x7e437a9c, 0xeafceac6,
 501   0x7e3f57ff, 0xeae4207a, 0x7e3b3083, 0xeacb56ff, 0x7e37042a, 0xeab28e56,
 502   0x7e32d2f4, 0xea99c67e,
 503   0x7e2e9cdf, 0xea80ff7a, 0x7e2a61ed, 0xea683949, 0x7e26221f, 0xea4f73ee,
 504   0x7e21dd73, 0xea36af69,
 505   0x7e1d93ea, 0xea1debbb, 0x7e194584, 0xea0528e5, 0x7e14f242, 0xe9ec66e8,
 506   0x7e109a24, 0xe9d3a5c5,
 507   0x7e0c3d29, 0xe9bae57d, 0x7e07db52, 0xe9a22610, 0x7e0374a0, 0xe9896781,
 508   0x7dff0911, 0xe970a9ce,
 509   0x7dfa98a8, 0xe957ecfb, 0x7df62362, 0xe93f3107, 0x7df1a942, 0xe92675f4,
 510   0x7ded2a47, 0xe90dbbc2,
 511   0x7de8a670, 0xe8f50273, 0x7de41dc0, 0xe8dc4a07, 0x7ddf9034, 0xe8c39280,
 512   0x7ddafdce, 0xe8aadbde,
 513   0x7dd6668f, 0xe8922622, 0x7dd1ca75, 0xe879714d, 0x7dcd2981, 0xe860bd61,
 514   0x7dc883b4, 0xe8480a5d,
 515   0x7dc3d90d, 0xe82f5844, 0x7dbf298d, 0xe816a716, 0x7dba7534, 0xe7fdf6d4,
 516   0x7db5bc02, 0xe7e5477f,
 517   0x7db0fdf8, 0xe7cc9917, 0x7dac3b15, 0xe7b3eb9f, 0x7da77359, 0xe79b3f16,
 518   0x7da2a6c6, 0xe782937e,
 519   0x7d9dd55a, 0xe769e8d8, 0x7d98ff17, 0xe7513f25, 0x7d9423fc, 0xe7389665,
 520   0x7d8f4409, 0xe71fee99,
 521   0x7d8a5f40, 0xe70747c4, 0x7d85759f, 0xe6eea1e4, 0x7d808728, 0xe6d5fcfc,
 522   0x7d7b93da, 0xe6bd590d,
 523   0x7d769bb5, 0xe6a4b616, 0x7d719eba, 0xe68c141a, 0x7d6c9ce9, 0xe6737319,
 524   0x7d679642, 0xe65ad315,
 525   0x7d628ac6, 0xe642340d, 0x7d5d7a74, 0xe6299604, 0x7d58654d, 0xe610f8f9,
 526   0x7d534b50, 0xe5f85cef,
 527   0x7d4e2c7f, 0xe5dfc1e5, 0x7d4908d9, 0xe5c727dd, 0x7d43e05e, 0xe5ae8ed8,
 528   0x7d3eb30f, 0xe595f6d7,
 529   0x7d3980ec, 0xe57d5fda, 0x7d3449f5, 0xe564c9e3, 0x7d2f0e2b, 0xe54c34f3,
 530   0x7d29cd8c, 0xe533a10a,
 531   0x7d24881b, 0xe51b0e2a, 0x7d1f3dd6, 0xe5027c53, 0x7d19eebf, 0xe4e9eb87,
 532   0x7d149ad5, 0xe4d15bc6,
 533   0x7d0f4218, 0xe4b8cd11, 0x7d09e489, 0xe4a03f69, 0x7d048228, 0xe487b2d0,
 534   0x7cff1af5, 0xe46f2745,
 535   0x7cf9aef0, 0xe4569ccb, 0x7cf43e1a, 0xe43e1362, 0x7ceec873, 0xe4258b0a,
 536   0x7ce94dfb, 0xe40d03c6,
 537   0x7ce3ceb2, 0xe3f47d96, 0x7cde4a98, 0xe3dbf87a, 0x7cd8c1ae, 0xe3c37474,
 538   0x7cd333f3, 0xe3aaf184,
 539   0x7ccda169, 0xe3926fad, 0x7cc80a0f, 0xe379eeed, 0x7cc26de5, 0xe3616f48,
 540   0x7cbcccec, 0xe348f0bd,
 541   0x7cb72724, 0xe330734d, 0x7cb17c8d, 0xe317f6fa, 0x7cabcd28, 0xe2ff7bc3,
 542   0x7ca618f3, 0xe2e701ac,
 543   0x7ca05ff1, 0xe2ce88b3, 0x7c9aa221, 0xe2b610da, 0x7c94df83, 0xe29d9a23,
 544   0x7c8f1817, 0xe285248d,
 545   0x7c894bde, 0xe26cb01b, 0x7c837ad8, 0xe2543ccc, 0x7c7da505, 0xe23bcaa2,
 546   0x7c77ca65, 0xe223599e,
 547   0x7c71eaf9, 0xe20ae9c1, 0x7c6c06c0, 0xe1f27b0b, 0x7c661dbc, 0xe1da0d7e,
 548   0x7c602fec, 0xe1c1a11b,
 549   0x7c5a3d50, 0xe1a935e2, 0x7c5445e9, 0xe190cbd4, 0x7c4e49b7, 0xe17862f3,
 550   0x7c4848ba, 0xe15ffb3f,
 551   0x7c4242f2, 0xe14794ba, 0x7c3c3860, 0xe12f2f63, 0x7c362904, 0xe116cb3d,
 552   0x7c3014de, 0xe0fe6848,
 553   0x7c29fbee, 0xe0e60685, 0x7c23de35, 0xe0cda5f5, 0x7c1dbbb3, 0xe0b54698,
 554   0x7c179467, 0xe09ce871,
 555   0x7c116853, 0xe0848b7f, 0x7c0b3777, 0xe06c2fc4, 0x7c0501d2, 0xe053d541,
 556   0x7bfec765, 0xe03b7bf6,
 557   0x7bf88830, 0xe02323e5, 0x7bf24434, 0xe00acd0e, 0x7bebfb70, 0xdff27773,
 558   0x7be5ade6, 0xdfda2314,
 559   0x7bdf5b94, 0xdfc1cff3, 0x7bd9047c, 0xdfa97e0f, 0x7bd2a89e, 0xdf912d6b,
 560   0x7bcc47fa, 0xdf78de07,
 561   0x7bc5e290, 0xdf608fe4, 0x7bbf7860, 0xdf484302, 0x7bb9096b, 0xdf2ff764,
 562   0x7bb295b0, 0xdf17ad0a,
 563   0x7bac1d31, 0xdeff63f4, 0x7ba59fee, 0xdee71c24, 0x7b9f1de6, 0xdeced59b,
 564   0x7b989719, 0xdeb69059,
 565   0x7b920b89, 0xde9e4c60, 0x7b8b7b36, 0xde8609b1, 0x7b84e61f, 0xde6dc84b,
 566   0x7b7e4c45, 0xde558831,
 567   0x7b77ada8, 0xde3d4964, 0x7b710a49, 0xde250be3, 0x7b6a6227, 0xde0ccfb1,
 568   0x7b63b543, 0xddf494ce,
 569   0x7b5d039e, 0xdddc5b3b, 0x7b564d36, 0xddc422f8, 0x7b4f920e, 0xddabec08,
 570   0x7b48d225, 0xdd93b66a,
 571   0x7b420d7a, 0xdd7b8220, 0x7b3b4410, 0xdd634f2b, 0x7b3475e5, 0xdd4b1d8c,
 572   0x7b2da2fa, 0xdd32ed43,
 573   0x7b26cb4f, 0xdd1abe51, 0x7b1feee5, 0xdd0290b8, 0x7b190dbc, 0xdcea6478,
 574   0x7b1227d3, 0xdcd23993,
 575   0x7b0b3d2c, 0xdcba1008, 0x7b044dc7, 0xdca1e7da, 0x7afd59a4, 0xdc89c109,
 576   0x7af660c2, 0xdc719b96,
 577   0x7aef6323, 0xdc597781, 0x7ae860c7, 0xdc4154cd, 0x7ae159ae, 0xdc293379,
 578   0x7ada4dd8, 0xdc111388,
 579   0x7ad33d45, 0xdbf8f4f8, 0x7acc27f7, 0xdbe0d7cd, 0x7ac50dec, 0xdbc8bc06,
 580   0x7abdef25, 0xdbb0a1a4,
 581   0x7ab6cba4, 0xdb9888a8, 0x7aafa367, 0xdb807114, 0x7aa8766f, 0xdb685ae9,
 582   0x7aa144bc, 0xdb504626,
 583   0x7a9a0e50, 0xdb3832cd, 0x7a92d329, 0xdb2020e0, 0x7a8b9348, 0xdb08105e,
 584   0x7a844eae, 0xdaf00149,
 585   0x7a7d055b, 0xdad7f3a2, 0x7a75b74f, 0xdabfe76a, 0x7a6e648a, 0xdaa7dca1,
 586   0x7a670d0d, 0xda8fd349,
 587   0x7a5fb0d8, 0xda77cb63, 0x7a584feb, 0xda5fc4ef, 0x7a50ea47, 0xda47bfee,
 588   0x7a497feb, 0xda2fbc61,
 589   0x7a4210d8, 0xda17ba4a, 0x7a3a9d0f, 0xd9ffb9a9, 0x7a332490, 0xd9e7ba7f,
 590   0x7a2ba75a, 0xd9cfbccd,
 591   0x7a24256f, 0xd9b7c094, 0x7a1c9ece, 0xd99fc5d4, 0x7a151378, 0xd987cc90,
 592   0x7a0d836d, 0xd96fd4c7,
 593   0x7a05eead, 0xd957de7a, 0x79fe5539, 0xd93fe9ab, 0x79f6b711, 0xd927f65b,
 594   0x79ef1436, 0xd910048a,
 595   0x79e76ca7, 0xd8f81439, 0x79dfc064, 0xd8e0256a, 0x79d80f6f, 0xd8c8381d,
 596   0x79d059c8, 0xd8b04c52,
 597   0x79c89f6e, 0xd898620c, 0x79c0e062, 0xd880794b, 0x79b91ca4, 0xd868920f,
 598   0x79b15435, 0xd850ac5a,
 599   0x79a98715, 0xd838c82d, 0x79a1b545, 0xd820e589, 0x7999dec4, 0xd809046e,
 600   0x79920392, 0xd7f124dd,
 601   0x798a23b1, 0xd7d946d8, 0x79823f20, 0xd7c16a5f, 0x797a55e0, 0xd7a98f73,
 602   0x797267f2, 0xd791b616,
 603   0x796a7554, 0xd779de47, 0x79627e08, 0xd7620808, 0x795a820e, 0xd74a335b,
 604   0x79528167, 0xd732603f,
 605   0x794a7c12, 0xd71a8eb5, 0x79427210, 0xd702bec0, 0x793a6361, 0xd6eaf05f,
 606   0x79325006, 0xd6d32393,
 607   0x792a37fe, 0xd6bb585e, 0x79221b4b, 0xd6a38ec0, 0x7919f9ec, 0xd68bc6ba,
 608   0x7911d3e2, 0xd674004e,
 609   0x7909a92d, 0xd65c3b7b, 0x790179cd, 0xd6447844, 0x78f945c3, 0xd62cb6a8,
 610   0x78f10d0f, 0xd614f6a9,
 611   0x78e8cfb2, 0xd5fd3848, 0x78e08dab, 0xd5e57b85, 0x78d846fb, 0xd5cdc062,
 612   0x78cffba3, 0xd5b606e0,
 613   0x78c7aba2, 0xd59e4eff, 0x78bf56f9, 0xd58698c0, 0x78b6fda8, 0xd56ee424,
 614   0x78ae9fb0, 0xd557312d,
 615   0x78a63d11, 0xd53f7fda, 0x789dd5cb, 0xd527d02e, 0x789569df, 0xd5102228,
 616   0x788cf94c, 0xd4f875ca,
 617   0x78848414, 0xd4e0cb15, 0x787c0a36, 0xd4c92209, 0x78738bb3, 0xd4b17aa8,
 618   0x786b088c, 0xd499d4f2,
 619   0x786280bf, 0xd48230e9, 0x7859f44f, 0xd46a8e8d, 0x7851633b, 0xd452eddf,
 620   0x7848cd83, 0xd43b4ee0,
 621   0x78403329, 0xd423b191, 0x7837942b, 0xd40c15f3, 0x782ef08b, 0xd3f47c06,
 622   0x78264849, 0xd3dce3cd,
 623   0x781d9b65, 0xd3c54d47, 0x7814e9df, 0xd3adb876, 0x780c33b8, 0xd396255a,
 624   0x780378f1, 0xd37e93f4,
 625   0x77fab989, 0xd3670446, 0x77f1f581, 0xd34f764f, 0x77e92cd9, 0xd337ea12,
 626   0x77e05f91, 0xd3205f8f,
 627   0x77d78daa, 0xd308d6c7, 0x77ceb725, 0xd2f14fba, 0x77c5dc01, 0xd2d9ca6a,
 628   0x77bcfc3f, 0xd2c246d8,
 629   0x77b417df, 0xd2aac504, 0x77ab2ee2, 0xd29344f0, 0x77a24148, 0xd27bc69c,
 630   0x77994f11, 0xd2644a0a,
 631   0x7790583e, 0xd24ccf39, 0x77875cce, 0xd235562b, 0x777e5cc3, 0xd21ddee2,
 632   0x7775581d, 0xd206695d,
 633   0x776c4edb, 0xd1eef59e, 0x776340ff, 0xd1d783a6, 0x775a2e89, 0xd1c01375,
 634   0x77511778, 0xd1a8a50d,
 635   0x7747fbce, 0xd191386e, 0x773edb8b, 0xd179cd99, 0x7735b6af, 0xd1626490,
 636   0x772c8d3a, 0xd14afd52,
 637   0x77235f2d, 0xd13397e2, 0x771a2c88, 0xd11c343f, 0x7710f54c, 0xd104d26b,
 638   0x7707b979, 0xd0ed7267,
 639   0x76fe790e, 0xd0d61434, 0x76f5340e, 0xd0beb7d2, 0x76ebea77, 0xd0a75d42,
 640   0x76e29c4b, 0xd0900486,
 641   0x76d94989, 0xd078ad9e, 0x76cff232, 0xd061588b, 0x76c69647, 0xd04a054e,
 642   0x76bd35c7, 0xd032b3e7,
 643   0x76b3d0b4, 0xd01b6459, 0x76aa670d, 0xd00416a3, 0x76a0f8d2, 0xcfeccac7,
 644   0x76978605, 0xcfd580c6,
 645   0x768e0ea6, 0xcfbe389f, 0x768492b4, 0xcfa6f255, 0x767b1231, 0xcf8fade9,
 646   0x76718d1c, 0xcf786b5a,
 647   0x76680376, 0xcf612aaa, 0x765e7540, 0xcf49ebda, 0x7654e279, 0xcf32aeeb,
 648   0x764b4b23, 0xcf1b73de,
 649   0x7641af3d, 0xcf043ab3, 0x76380ec8, 0xceed036b, 0x762e69c4, 0xced5ce08,
 650   0x7624c031, 0xcebe9a8a,
 651   0x761b1211, 0xcea768f2, 0x76115f63, 0xce903942, 0x7607a828, 0xce790b79,
 652   0x75fdec60, 0xce61df99,
 653   0x75f42c0b, 0xce4ab5a2, 0x75ea672a, 0xce338d97, 0x75e09dbd, 0xce1c6777,
 654   0x75d6cfc5, 0xce054343,
 655   0x75ccfd42, 0xcdee20fc, 0x75c32634, 0xcdd700a4, 0x75b94a9c, 0xcdbfe23a,
 656   0x75af6a7b, 0xcda8c5c1,
 657   0x75a585cf, 0xcd91ab39, 0x759b9c9b, 0xcd7a92a2, 0x7591aedd, 0xcd637bfe,
 658   0x7587bc98, 0xcd4c674d,
 659   0x757dc5ca, 0xcd355491, 0x7573ca75, 0xcd1e43ca, 0x7569ca99, 0xcd0734f9,
 660   0x755fc635, 0xccf0281f,
 661   0x7555bd4c, 0xccd91d3d, 0x754bafdc, 0xccc21455, 0x75419de7, 0xccab0d65,
 662   0x7537876c, 0xcc940871,
 663   0x752d6c6c, 0xcc7d0578, 0x75234ce8, 0xcc66047b, 0x751928e0, 0xcc4f057c,
 664   0x750f0054, 0xcc38087b,
 665   0x7504d345, 0xcc210d79, 0x74faa1b3, 0xcc0a1477, 0x74f06b9e, 0xcbf31d75,
 666   0x74e63108, 0xcbdc2876,
 667   0x74dbf1ef, 0xcbc53579, 0x74d1ae55, 0xcbae447f, 0x74c7663a, 0xcb97558a,
 668   0x74bd199f, 0xcb80689a,
 669   0x74b2c884, 0xcb697db0, 0x74a872e8, 0xcb5294ce, 0x749e18cd, 0xcb3badf3,
 670   0x7493ba34, 0xcb24c921,
 671   0x7489571c, 0xcb0de658, 0x747eef85, 0xcaf7059a, 0x74748371, 0xcae026e8,
 672   0x746a12df, 0xcac94a42,
 673   0x745f9dd1, 0xcab26fa9, 0x74552446, 0xca9b971e, 0x744aa63f, 0xca84c0a3,
 674   0x744023bc, 0xca6dec37,
 675   0x74359cbd, 0xca5719db, 0x742b1144, 0xca404992, 0x74208150, 0xca297b5a,
 676   0x7415ece2, 0xca12af37,
 677   0x740b53fb, 0xc9fbe527, 0x7400b69a, 0xc9e51d2d, 0x73f614c0, 0xc9ce5748,
 678   0x73eb6e6e, 0xc9b7937a,
 679   0x73e0c3a3, 0xc9a0d1c5, 0x73d61461, 0xc98a1227, 0x73cb60a8, 0xc97354a4,
 680   0x73c0a878, 0xc95c993a,
 681   0x73b5ebd1, 0xc945dfec, 0x73ab2ab4, 0xc92f28ba, 0x73a06522, 0xc91873a5,
 682   0x73959b1b, 0xc901c0ae,
 683   0x738acc9e, 0xc8eb0fd6, 0x737ff9ae, 0xc8d4611d, 0x73752249, 0xc8bdb485,
 684   0x736a4671, 0xc8a70a0e,
 685   0x735f6626, 0xc89061ba, 0x73548168, 0xc879bb89, 0x73499838, 0xc863177b,
 686   0x733eaa96, 0xc84c7593,
 687   0x7333b883, 0xc835d5d0, 0x7328c1ff, 0xc81f3834, 0x731dc70a, 0xc8089cbf,
 688   0x7312c7a5, 0xc7f20373,
 689   0x7307c3d0, 0xc7db6c50, 0x72fcbb8c, 0xc7c4d757, 0x72f1aed9, 0xc7ae4489,
 690   0x72e69db7, 0xc797b3e7,
 691   0x72db8828, 0xc7812572, 0x72d06e2b, 0xc76a992a, 0x72c54fc1, 0xc7540f11,
 692   0x72ba2cea, 0xc73d8727,
 693   0x72af05a7, 0xc727016d, 0x72a3d9f7, 0xc7107de4, 0x7298a9dd, 0xc6f9fc8d,
 694   0x728d7557, 0xc6e37d69,
 695   0x72823c67, 0xc6cd0079, 0x7276ff0d, 0xc6b685bd, 0x726bbd48, 0xc6a00d37,
 696   0x7260771b, 0xc68996e7,
 697   0x72552c85, 0xc67322ce, 0x7249dd86, 0xc65cb0ed, 0x723e8a20, 0xc6464144,
 698   0x72333251, 0xc62fd3d6,
 699   0x7227d61c, 0xc61968a2, 0x721c7580, 0xc602ffaa, 0x7211107e, 0xc5ec98ee,
 700   0x7205a716, 0xc5d6346f,
 701   0x71fa3949, 0xc5bfd22e, 0x71eec716, 0xc5a9722c, 0x71e35080, 0xc593146a,
 702   0x71d7d585, 0xc57cb8e9,
 703   0x71cc5626, 0xc5665fa9, 0x71c0d265, 0xc55008ab, 0x71b54a41, 0xc539b3f1,
 704   0x71a9bdba, 0xc523617a,
 705   0x719e2cd2, 0xc50d1149, 0x71929789, 0xc4f6c35d, 0x7186fdde, 0xc4e077b8,
 706   0x717b5fd3, 0xc4ca2e5b,
 707   0x716fbd68, 0xc4b3e746, 0x7164169d, 0xc49da27a, 0x71586b74, 0xc4875ff9,
 708   0x714cbbeb, 0xc4711fc2,
 709   0x71410805, 0xc45ae1d7, 0x71354fc0, 0xc444a639, 0x7129931f, 0xc42e6ce8,
 710   0x711dd220, 0xc41835e6,
 711   0x71120cc5, 0xc4020133, 0x7106430e, 0xc3ebced0, 0x70fa74fc, 0xc3d59ebe,
 712   0x70eea28e, 0xc3bf70fd,
 713   0x70e2cbc6, 0xc3a94590, 0x70d6f0a4, 0xc3931c76, 0x70cb1128, 0xc37cf5b0,
 714   0x70bf2d53, 0xc366d140,
 715   0x70b34525, 0xc350af26, 0x70a7589f, 0xc33a8f62, 0x709b67c0, 0xc32471f7,
 716   0x708f728b, 0xc30e56e4,
 717   0x708378ff, 0xc2f83e2a, 0x70777b1c, 0xc2e227cb, 0x706b78e3, 0xc2cc13c7,
 718   0x705f7255, 0xc2b6021f,
 719   0x70536771, 0xc29ff2d4, 0x70475839, 0xc289e5e7, 0x703b44ad, 0xc273db58,
 720   0x702f2ccd, 0xc25dd329,
 721   0x7023109a, 0xc247cd5a, 0x7016f014, 0xc231c9ec, 0x700acb3c, 0xc21bc8e1,
 722   0x6ffea212, 0xc205ca38,
 723   0x6ff27497, 0xc1efcdf3, 0x6fe642ca, 0xc1d9d412, 0x6fda0cae, 0xc1c3dc97,
 724   0x6fcdd241, 0xc1ade781,
 725   0x6fc19385, 0xc197f4d4, 0x6fb5507a, 0xc182048d, 0x6fa90921, 0xc16c16b0,
 726   0x6f9cbd79, 0xc1562b3d,
 727   0x6f906d84, 0xc1404233, 0x6f841942, 0xc12a5b95, 0x6f77c0b3, 0xc1147764,
 728   0x6f6b63d8, 0xc0fe959f,
 729   0x6f5f02b2, 0xc0e8b648, 0x6f529d40, 0xc0d2d960, 0x6f463383, 0xc0bcfee7,
 730   0x6f39c57d, 0xc0a726df,
 731   0x6f2d532c, 0xc0915148, 0x6f20dc92, 0xc07b7e23, 0x6f1461b0, 0xc065ad70,
 732   0x6f07e285, 0xc04fdf32,
 733   0x6efb5f12, 0xc03a1368, 0x6eeed758, 0xc0244a14, 0x6ee24b57, 0xc00e8336,
 734   0x6ed5bb10, 0xbff8bece,
 735   0x6ec92683, 0xbfe2fcdf, 0x6ebc8db0, 0xbfcd3d69, 0x6eaff099, 0xbfb7806c,
 736   0x6ea34f3d, 0xbfa1c5ea,
 737   0x6e96a99d, 0xbf8c0de3, 0x6e89ffb9, 0xbf765858, 0x6e7d5193, 0xbf60a54a,
 738   0x6e709f2a, 0xbf4af4ba,
 739   0x6e63e87f, 0xbf3546a8, 0x6e572d93, 0xbf1f9b16, 0x6e4a6e66, 0xbf09f205,
 740   0x6e3daaf8, 0xbef44b74,
 741   0x6e30e34a, 0xbedea765, 0x6e24175c, 0xbec905d9, 0x6e174730, 0xbeb366d1,
 742   0x6e0a72c5, 0xbe9dca4e,
 743   0x6dfd9a1c, 0xbe88304f, 0x6df0bd35, 0xbe7298d7, 0x6de3dc11, 0xbe5d03e6,
 744   0x6dd6f6b1, 0xbe47717c,
 745   0x6dca0d14, 0xbe31e19b, 0x6dbd1f3c, 0xbe1c5444, 0x6db02d29, 0xbe06c977,
 746   0x6da336dc, 0xbdf14135,
 747   0x6d963c54, 0xbddbbb7f, 0x6d893d93, 0xbdc63856, 0x6d7c3a98, 0xbdb0b7bb,
 748   0x6d6f3365, 0xbd9b39ad,
 749   0x6d6227fa, 0xbd85be30, 0x6d551858, 0xbd704542, 0x6d48047e, 0xbd5acee5,
 750   0x6d3aec6e, 0xbd455b1a,
 751   0x6d2dd027, 0xbd2fe9e2, 0x6d20afac, 0xbd1a7b3d, 0x6d138afb, 0xbd050f2c,
 752   0x6d066215, 0xbcefa5b0,
 753   0x6cf934fc, 0xbcda3ecb, 0x6cec03af, 0xbcc4da7b, 0x6cdece2f, 0xbcaf78c4,
 754   0x6cd1947c, 0xbc9a19a5,
 755   0x6cc45698, 0xbc84bd1f, 0x6cb71482, 0xbc6f6333, 0x6ca9ce3b, 0xbc5a0be2,
 756   0x6c9c83c3, 0xbc44b72c,
 757   0x6c8f351c, 0xbc2f6513, 0x6c81e245, 0xbc1a1598, 0x6c748b3f, 0xbc04c8ba,
 758   0x6c67300b, 0xbbef7e7c,
 759   0x6c59d0a9, 0xbbda36dd, 0x6c4c6d1a, 0xbbc4f1df, 0x6c3f055d, 0xbbafaf82,
 760   0x6c319975, 0xbb9a6fc7,
 761   0x6c242960, 0xbb8532b0, 0x6c16b521, 0xbb6ff83c, 0x6c093cb6, 0xbb5ac06d,
 762   0x6bfbc021, 0xbb458b43,
 763   0x6bee3f62, 0xbb3058c0, 0x6be0ba7b, 0xbb1b28e4, 0x6bd3316a, 0xbb05fbb0,
 764   0x6bc5a431, 0xbaf0d125,
 765   0x6bb812d1, 0xbadba943, 0x6baa7d49, 0xbac6840c, 0x6b9ce39b, 0xbab16180,
 766   0x6b8f45c7, 0xba9c41a0,
 767   0x6b81a3cd, 0xba87246d, 0x6b73fdae, 0xba7209e7, 0x6b66536b, 0xba5cf210,
 768   0x6b58a503, 0xba47dce8,
 769   0x6b4af279, 0xba32ca71, 0x6b3d3bcb, 0xba1dbaaa, 0x6b2f80fb, 0xba08ad95,
 770   0x6b21c208, 0xb9f3a332,
 771   0x6b13fef5, 0xb9de9b83, 0x6b0637c1, 0xb9c99688, 0x6af86c6c, 0xb9b49442,
 772   0x6aea9cf8, 0xb99f94b2,
 773   0x6adcc964, 0xb98a97d8, 0x6acef1b2, 0xb9759db6, 0x6ac115e2, 0xb960a64c,
 774   0x6ab335f4, 0xb94bb19b,
 775   0x6aa551e9, 0xb936bfa4, 0x6a9769c1, 0xb921d067, 0x6a897d7d, 0xb90ce3e6,
 776   0x6a7b8d1e, 0xb8f7fa21,
 777   0x6a6d98a4, 0xb8e31319, 0x6a5fa010, 0xb8ce2ecf, 0x6a51a361, 0xb8b94d44,
 778   0x6a43a29a, 0xb8a46e78,
 779   0x6a359db9, 0xb88f926d, 0x6a2794c1, 0xb87ab922, 0x6a1987b0, 0xb865e299,
 780   0x6a0b7689, 0xb8510ed4,
 781   0x69fd614a, 0xb83c3dd1, 0x69ef47f6, 0xb8276f93, 0x69e12a8c, 0xb812a41a,
 782   0x69d3090e, 0xb7fddb67,
 783   0x69c4e37a, 0xb7e9157a, 0x69b6b9d3, 0xb7d45255, 0x69a88c19, 0xb7bf91f8,
 784   0x699a5a4c, 0xb7aad465,
 785   0x698c246c, 0xb796199b, 0x697dea7b, 0xb781619c, 0x696fac78, 0xb76cac69,
 786   0x69616a65, 0xb757fa01,
 787   0x69532442, 0xb7434a67, 0x6944da10, 0xb72e9d9b, 0x69368bce, 0xb719f39e,
 788   0x6928397e, 0xb7054c6f,
 789   0x6919e320, 0xb6f0a812, 0x690b88b5, 0xb6dc0685, 0x68fd2a3d, 0xb6c767ca,
 790   0x68eec7b9, 0xb6b2cbe2,
 791   0x68e06129, 0xb69e32cd, 0x68d1f68f, 0xb6899c8d, 0x68c387e9, 0xb6750921,
 792   0x68b5153a, 0xb660788c,
 793   0x68a69e81, 0xb64beacd, 0x689823bf, 0xb6375fe5, 0x6889a4f6, 0xb622d7d6,
 794   0x687b2224, 0xb60e529f,
 795   0x686c9b4b, 0xb5f9d043, 0x685e106c, 0xb5e550c1, 0x684f8186, 0xb5d0d41a,
 796   0x6840ee9b, 0xb5bc5a50,
 797   0x683257ab, 0xb5a7e362, 0x6823bcb7, 0xb5936f53, 0x68151dbe, 0xb57efe22,
 798   0x68067ac3, 0xb56a8fd0,
 799   0x67f7d3c5, 0xb556245e, 0x67e928c5, 0xb541bbcd, 0x67da79c3, 0xb52d561e,
 800   0x67cbc6c0, 0xb518f351,
 801   0x67bd0fbd, 0xb5049368, 0x67ae54ba, 0xb4f03663, 0x679f95b7, 0xb4dbdc42,
 802   0x6790d2b6, 0xb4c78507,
 803   0x67820bb7, 0xb4b330b3, 0x677340ba, 0xb49edf45, 0x676471c0, 0xb48a90c0,
 804   0x67559eca, 0xb4764523,
 805   0x6746c7d8, 0xb461fc70, 0x6737ecea, 0xb44db6a8, 0x67290e02, 0xb43973ca,
 806   0x671a2b20, 0xb42533d8,
 807   0x670b4444, 0xb410f6d3, 0x66fc596f, 0xb3fcbcbb, 0x66ed6aa1, 0xb3e88592,
 808   0x66de77dc, 0xb3d45157,
 809   0x66cf8120, 0xb3c0200c, 0x66c0866d, 0xb3abf1b2, 0x66b187c3, 0xb397c649,
 810   0x66a28524, 0xb3839dd3,
 811   0x66937e91, 0xb36f784f, 0x66847408, 0xb35b55bf, 0x6675658c, 0xb3473623,
 812   0x6666531d, 0xb333197c,
 813   0x66573cbb, 0xb31effcc, 0x66482267, 0xb30ae912, 0x66390422, 0xb2f6d550,
 814   0x6629e1ec, 0xb2e2c486,
 815   0x661abbc5, 0xb2ceb6b5, 0x660b91af, 0xb2baabde, 0x65fc63a9, 0xb2a6a402,
 816   0x65ed31b5, 0xb2929f21,
 817   0x65ddfbd3, 0xb27e9d3c, 0x65cec204, 0xb26a9e54, 0x65bf8447, 0xb256a26a,
 818   0x65b0429f, 0xb242a97e,
 819   0x65a0fd0b, 0xb22eb392, 0x6591b38c, 0xb21ac0a6, 0x65826622, 0xb206d0ba,
 820   0x657314cf, 0xb1f2e3d0,
 821   0x6563bf92, 0xb1def9e9, 0x6554666d, 0xb1cb1304, 0x6545095f, 0xb1b72f23,
 822   0x6535a86b, 0xb1a34e47,
 823   0x6526438f, 0xb18f7071, 0x6516dacd, 0xb17b95a0, 0x65076e25, 0xb167bdd7,
 824   0x64f7fd98, 0xb153e915,
 825   0x64e88926, 0xb140175b, 0x64d910d1, 0xb12c48ab, 0x64c99498, 0xb1187d05,
 826   0x64ba147d, 0xb104b46a,
 827   0x64aa907f, 0xb0f0eeda, 0x649b08a0, 0xb0dd2c56, 0x648b7ce0, 0xb0c96ce0,
 828   0x647bed3f, 0xb0b5b077,
 829   0x646c59bf, 0xb0a1f71d, 0x645cc260, 0xb08e40d2, 0x644d2722, 0xb07a8d97,
 830   0x643d8806, 0xb066dd6d,
 831   0x642de50d, 0xb0533055, 0x641e3e38, 0xb03f864f, 0x640e9386, 0xb02bdf5c,
 832   0x63fee4f8, 0xb0183b7d,
 833   0x63ef3290, 0xb0049ab3, 0x63df7c4d, 0xaff0fcfe, 0x63cfc231, 0xafdd625f,
 834   0x63c0043b, 0xafc9cad7,
 835   0x63b0426d, 0xafb63667, 0x63a07cc7, 0xafa2a50f, 0x6390b34a, 0xaf8f16d1,
 836   0x6380e5f6, 0xaf7b8bac,
 837   0x637114cc, 0xaf6803a2, 0x63613fcd, 0xaf547eb3, 0x635166f9, 0xaf40fce1,
 838   0x63418a50, 0xaf2d7e2b,
 839   0x6331a9d4, 0xaf1a0293, 0x6321c585, 0xaf068a1a, 0x6311dd64, 0xaef314c0,
 840   0x6301f171, 0xaedfa285,
 841   0x62f201ac, 0xaecc336c, 0x62e20e17, 0xaeb8c774, 0x62d216b3, 0xaea55e9e,
 842   0x62c21b7e, 0xae91f8eb,
 843   0x62b21c7b, 0xae7e965b, 0x62a219aa, 0xae6b36f0, 0x6292130c, 0xae57daab,
 844   0x628208a1, 0xae44818b,
 845   0x6271fa69, 0xae312b92, 0x6261e866, 0xae1dd8c0, 0x6251d298, 0xae0a8916,
 846   0x6241b8ff, 0xadf73c96,
 847   0x62319b9d, 0xade3f33e, 0x62217a72, 0xadd0ad12, 0x6211557e, 0xadbd6a10,
 848   0x62012cc2, 0xadaa2a3b,
 849   0x61f1003f, 0xad96ed92, 0x61e0cff5, 0xad83b416, 0x61d09be5, 0xad707dc8,
 850   0x61c06410, 0xad5d4aaa,
 851   0x61b02876, 0xad4a1aba, 0x619fe918, 0xad36edfc, 0x618fa5f7, 0xad23c46e,
 852   0x617f5f12, 0xad109e12,
 853   0x616f146c, 0xacfd7ae8, 0x615ec603, 0xacea5af2, 0x614e73da, 0xacd73e30,
 854   0x613e1df0, 0xacc424a3,
 855   0x612dc447, 0xacb10e4b, 0x611d66de, 0xac9dfb29, 0x610d05b7, 0xac8aeb3e,
 856   0x60fca0d2, 0xac77de8b,
 857   0x60ec3830, 0xac64d510, 0x60dbcbd1, 0xac51cecf, 0x60cb5bb7, 0xac3ecbc7,
 858   0x60bae7e1, 0xac2bcbfa,
 859   0x60aa7050, 0xac18cf69, 0x6099f505, 0xac05d613, 0x60897601, 0xabf2dffb,
 860   0x6078f344, 0xabdfed1f,
 861   0x60686ccf, 0xabccfd83, 0x6057e2a2, 0xabba1125, 0x604754bf, 0xaba72807,
 862   0x6036c325, 0xab944229,
 863   0x60262dd6, 0xab815f8d, 0x601594d1, 0xab6e8032, 0x6004f819, 0xab5ba41a,
 864   0x5ff457ad, 0xab48cb46,
 865   0x5fe3b38d, 0xab35f5b5, 0x5fd30bbc, 0xab23236a, 0x5fc26038, 0xab105464,
 866   0x5fb1b104, 0xaafd88a4,
 867   0x5fa0fe1f, 0xaaeac02c, 0x5f90478a, 0xaad7fafb, 0x5f7f8d46, 0xaac53912,
 868   0x5f6ecf53, 0xaab27a73,
 869   0x5f5e0db3, 0xaa9fbf1e, 0x5f4d4865, 0xaa8d0713, 0x5f3c7f6b, 0xaa7a5253,
 870   0x5f2bb2c5, 0xaa67a0e0,
 871   0x5f1ae274, 0xaa54f2ba, 0x5f0a0e77, 0xaa4247e1, 0x5ef936d1, 0xaa2fa056,
 872   0x5ee85b82, 0xaa1cfc1a,
 873   0x5ed77c8a, 0xaa0a5b2e, 0x5ec699e9, 0xa9f7bd92, 0x5eb5b3a2, 0xa9e52347,
 874   0x5ea4c9b3, 0xa9d28c4e,
 875   0x5e93dc1f, 0xa9bff8a8, 0x5e82eae5, 0xa9ad6855, 0x5e71f606, 0xa99adb56,
 876   0x5e60fd84, 0xa98851ac,
 877   0x5e50015d, 0xa975cb57, 0x5e3f0194, 0xa9634858, 0x5e2dfe29, 0xa950c8b0,
 878   0x5e1cf71c, 0xa93e4c5f,
 879   0x5e0bec6e, 0xa92bd367, 0x5dfade20, 0xa9195dc7, 0x5de9cc33, 0xa906eb82,
 880   0x5dd8b6a7, 0xa8f47c97,
 881   0x5dc79d7c, 0xa8e21106, 0x5db680b4, 0xa8cfa8d2, 0x5da5604f, 0xa8bd43fa,
 882   0x5d943c4e, 0xa8aae280,
 883   0x5d8314b1, 0xa8988463, 0x5d71e979, 0xa88629a5, 0x5d60baa7, 0xa873d246,
 884   0x5d4f883b, 0xa8617e48,
 885   0x5d3e5237, 0xa84f2daa, 0x5d2d189a, 0xa83ce06e, 0x5d1bdb65, 0xa82a9693,
 886   0x5d0a9a9a, 0xa818501c,
 887   0x5cf95638, 0xa8060d08, 0x5ce80e41, 0xa7f3cd59, 0x5cd6c2b5, 0xa7e1910f,
 888   0x5cc57394, 0xa7cf582a,
 889   0x5cb420e0, 0xa7bd22ac, 0x5ca2ca99, 0xa7aaf094, 0x5c9170bf, 0xa798c1e5,
 890   0x5c801354, 0xa786969e,
 891   0x5c6eb258, 0xa7746ec0, 0x5c5d4dcc, 0xa7624a4d, 0x5c4be5b0, 0xa7502943,
 892   0x5c3a7a05, 0xa73e0ba5,
 893   0x5c290acc, 0xa72bf174, 0x5c179806, 0xa719daae, 0x5c0621b2, 0xa707c757,
 894   0x5bf4a7d2, 0xa6f5b76d,
 895   0x5be32a67, 0xa6e3aaf2, 0x5bd1a971, 0xa6d1a1e7, 0x5bc024f0, 0xa6bf9c4b,
 896   0x5bae9ce7, 0xa6ad9a21,
 897   0x5b9d1154, 0xa69b9b68, 0x5b8b8239, 0xa689a022, 0x5b79ef96, 0xa677a84e,
 898   0x5b68596d, 0xa665b3ee,
 899   0x5b56bfbd, 0xa653c303, 0x5b452288, 0xa641d58c, 0x5b3381ce, 0xa62feb8b,
 900   0x5b21dd90, 0xa61e0501,
 901   0x5b1035cf, 0xa60c21ee, 0x5afe8a8b, 0xa5fa4252, 0x5aecdbc5, 0xa5e8662f,
 902   0x5adb297d, 0xa5d68d85,
 903   0x5ac973b5, 0xa5c4b855, 0x5ab7ba6c, 0xa5b2e6a0, 0x5aa5fda5, 0xa5a11866,
 904   0x5a943d5e, 0xa58f4da8,
 905   0x5a82799a, 0xa57d8666, 0x5a70b258, 0xa56bc2a2, 0x5a5ee79a, 0xa55a025b,
 906   0x5a4d1960, 0xa5484594,
 907   0x5a3b47ab, 0xa5368c4b, 0x5a29727b, 0xa524d683, 0x5a1799d1, 0xa513243b,
 908   0x5a05bdae, 0xa5017575,
 909   0x59f3de12, 0xa4efca31, 0x59e1faff, 0xa4de2270, 0x59d01475, 0xa4cc7e32,
 910   0x59be2a74, 0xa4badd78,
 911   0x59ac3cfd, 0xa4a94043, 0x599a4c12, 0xa497a693, 0x598857b2, 0xa486106a,
 912   0x59765fde, 0xa4747dc7,
 913   0x59646498, 0xa462eeac, 0x595265df, 0xa4516319, 0x594063b5, 0xa43fdb10,
 914   0x592e5e19, 0xa42e568f,
 915   0x591c550e, 0xa41cd599, 0x590a4893, 0xa40b582e, 0x58f838a9, 0xa3f9de4e,
 916   0x58e62552, 0xa3e867fa,
 917   0x58d40e8c, 0xa3d6f534, 0x58c1f45b, 0xa3c585fb, 0x58afd6bd, 0xa3b41a50,
 918   0x589db5b3, 0xa3a2b234,
 919   0x588b9140, 0xa3914da8, 0x58796962, 0xa37fecac, 0x58673e1b, 0xa36e8f41,
 920   0x58550f6c, 0xa35d3567,
 921   0x5842dd54, 0xa34bdf20, 0x5830a7d6, 0xa33a8c6c, 0x581e6ef1, 0xa3293d4b,
 922   0x580c32a7, 0xa317f1bf,
 923   0x57f9f2f8, 0xa306a9c8, 0x57e7afe4, 0xa2f56566, 0x57d5696d, 0xa2e4249b,
 924   0x57c31f92, 0xa2d2e766,
 925   0x57b0d256, 0xa2c1adc9, 0x579e81b8, 0xa2b077c5, 0x578c2dba, 0xa29f4559,
 926   0x5779d65b, 0xa28e1687,
 927   0x57677b9d, 0xa27ceb4f, 0x57551d80, 0xa26bc3b2, 0x5742bc06, 0xa25a9fb1,
 928   0x5730572e, 0xa2497f4c,
 929   0x571deefa, 0xa2386284, 0x570b8369, 0xa2274959, 0x56f9147e, 0xa21633cd,
 930   0x56e6a239, 0xa20521e0,
 931   0x56d42c99, 0xa1f41392, 0x56c1b3a1, 0xa1e308e4, 0x56af3750, 0xa1d201d7,
 932   0x569cb7a8, 0xa1c0fe6c,
 933   0x568a34a9, 0xa1affea3, 0x5677ae54, 0xa19f027c, 0x566524aa, 0xa18e09fa,
 934   0x565297ab, 0xa17d151b,
 935   0x56400758, 0xa16c23e1, 0x562d73b2, 0xa15b364d, 0x561adcb9, 0xa14a4c5e,
 936   0x5608426e, 0xa1396617,
 937   0x55f5a4d2, 0xa1288376, 0x55e303e6, 0xa117a47e, 0x55d05faa, 0xa106c92f,
 938   0x55bdb81f, 0xa0f5f189,
 939   0x55ab0d46, 0xa0e51d8c, 0x55985f20, 0xa0d44d3b, 0x5585adad, 0xa0c38095,
 940   0x5572f8ed, 0xa0b2b79b,
 941   0x556040e2, 0xa0a1f24d, 0x554d858d, 0xa09130ad, 0x553ac6ee, 0xa08072ba,
 942   0x55280505, 0xa06fb876,
 943   0x55153fd4, 0xa05f01e1, 0x5502775c, 0xa04e4efc, 0x54efab9c, 0xa03d9fc8,
 944   0x54dcdc96, 0xa02cf444,
 945   0x54ca0a4b, 0xa01c4c73, 0x54b734ba, 0xa00ba853, 0x54a45be6, 0x9ffb07e7,
 946   0x54917fce, 0x9fea6b2f,
 947   0x547ea073, 0x9fd9d22a, 0x546bbdd7, 0x9fc93cdb, 0x5458d7f9, 0x9fb8ab41,
 948   0x5445eedb, 0x9fa81d5e,
 949   0x5433027d, 0x9f979331, 0x542012e1, 0x9f870cbc, 0x540d2005, 0x9f7689ff,
 950   0x53fa29ed, 0x9f660afb,
 951   0x53e73097, 0x9f558fb0, 0x53d43406, 0x9f45181f, 0x53c13439, 0x9f34a449,
 952   0x53ae3131, 0x9f24342f,
 953   0x539b2af0, 0x9f13c7d0, 0x53882175, 0x9f035f2e, 0x537514c2, 0x9ef2fa49,
 954   0x536204d7, 0x9ee29922,
 955   0x534ef1b5, 0x9ed23bb9, 0x533bdb5d, 0x9ec1e210, 0x5328c1d0, 0x9eb18c26,
 956   0x5315a50e, 0x9ea139fd,
 957   0x53028518, 0x9e90eb94, 0x52ef61ee, 0x9e80a0ee, 0x52dc3b92, 0x9e705a09,
 958   0x52c91204, 0x9e6016e8,
 959   0x52b5e546, 0x9e4fd78a, 0x52a2b556, 0x9e3f9bf0, 0x528f8238, 0x9e2f641b,
 960   0x527c4bea, 0x9e1f300b,
 961   0x5269126e, 0x9e0effc1, 0x5255d5c5, 0x9dfed33e, 0x524295f0, 0x9deeaa82,
 962   0x522f52ee, 0x9dde858e,
 963   0x521c0cc2, 0x9dce6463, 0x5208c36a, 0x9dbe4701, 0x51f576ea, 0x9dae2d68,
 964   0x51e22740, 0x9d9e179a,
 965   0x51ced46e, 0x9d8e0597, 0x51bb7e75, 0x9d7df75f, 0x51a82555, 0x9d6decf4,
 966   0x5194c910, 0x9d5de656,
 967   0x518169a5, 0x9d4de385, 0x516e0715, 0x9d3de482, 0x515aa162, 0x9d2de94d,
 968   0x5147388c, 0x9d1df1e9,
 969   0x5133cc94, 0x9d0dfe54, 0x51205d7b, 0x9cfe0e8f, 0x510ceb40, 0x9cee229c,
 970   0x50f975e6, 0x9cde3a7b,
 971   0x50e5fd6d, 0x9cce562c, 0x50d281d5, 0x9cbe75b0, 0x50bf031f, 0x9cae9907,
 972   0x50ab814d, 0x9c9ec033,
 973   0x5097fc5e, 0x9c8eeb34, 0x50847454, 0x9c7f1a0a, 0x5070e92f, 0x9c6f4cb6,
 974   0x505d5af1, 0x9c5f8339,
 975   0x5049c999, 0x9c4fbd93, 0x50363529, 0x9c3ffbc5, 0x50229da1, 0x9c303dcf,
 976   0x500f0302, 0x9c2083b3,
 977   0x4ffb654d, 0x9c10cd70, 0x4fe7c483, 0x9c011b08, 0x4fd420a4, 0x9bf16c7a,
 978   0x4fc079b1, 0x9be1c1c8,
 979   0x4faccfab, 0x9bd21af3, 0x4f992293, 0x9bc277fa, 0x4f857269, 0x9bb2d8de,
 980   0x4f71bf2e, 0x9ba33da0,
 981   0x4f5e08e3, 0x9b93a641, 0x4f4a4f89, 0x9b8412c1, 0x4f369320, 0x9b748320,
 982   0x4f22d3aa, 0x9b64f760,
 983   0x4f0f1126, 0x9b556f81, 0x4efb4b96, 0x9b45eb83, 0x4ee782fb, 0x9b366b68,
 984   0x4ed3b755, 0x9b26ef2f,
 985   0x4ebfe8a5, 0x9b1776da, 0x4eac16eb, 0x9b080268, 0x4e984229, 0x9af891db,
 986   0x4e846a60, 0x9ae92533,
 987   0x4e708f8f, 0x9ad9bc71, 0x4e5cb1b9, 0x9aca5795, 0x4e48d0dd, 0x9abaf6a1,
 988   0x4e34ecfc, 0x9aab9993,
 989   0x4e210617, 0x9a9c406e, 0x4e0d1c30, 0x9a8ceb31, 0x4df92f46, 0x9a7d99de,
 990   0x4de53f5a, 0x9a6e4c74,
 991   0x4dd14c6e, 0x9a5f02f5, 0x4dbd5682, 0x9a4fbd61, 0x4da95d96, 0x9a407bb9,
 992   0x4d9561ac, 0x9a313dfc,
 993   0x4d8162c4, 0x9a22042d, 0x4d6d60df, 0x9a12ce4b, 0x4d595bfe, 0x9a039c57,
 994   0x4d455422, 0x99f46e51,
 995   0x4d31494b, 0x99e5443b, 0x4d1d3b7a, 0x99d61e14, 0x4d092ab0, 0x99c6fbde,
 996   0x4cf516ee, 0x99b7dd99,
 997   0x4ce10034, 0x99a8c345, 0x4ccce684, 0x9999ace3, 0x4cb8c9dd, 0x998a9a74,
 998   0x4ca4aa41, 0x997b8bf8,
 999   0x4c9087b1, 0x996c816f, 0x4c7c622d, 0x995d7adc, 0x4c6839b7, 0x994e783d,
1000   0x4c540e4e, 0x993f7993,
1001   0x4c3fdff4, 0x99307ee0, 0x4c2baea9, 0x99218824, 0x4c177a6e, 0x9912955f,
1002   0x4c034345, 0x9903a691,
1003   0x4bef092d, 0x98f4bbbc, 0x4bdacc28, 0x98e5d4e0, 0x4bc68c36, 0x98d6f1fe,
1004   0x4bb24958, 0x98c81316,
1005   0x4b9e0390, 0x98b93828, 0x4b89badd, 0x98aa6136, 0x4b756f40, 0x989b8e40,
1006   0x4b6120bb, 0x988cbf46,
1007   0x4b4ccf4d, 0x987df449, 0x4b387af9, 0x986f2d4a, 0x4b2423be, 0x98606a49,
1008   0x4b0fc99d, 0x9851ab46,
1009   0x4afb6c98, 0x9842f043, 0x4ae70caf, 0x98343940, 0x4ad2a9e2, 0x9825863d,
1010   0x4abe4433, 0x9816d73b,
1011   0x4aa9dba2, 0x98082c3b, 0x4a957030, 0x97f9853d, 0x4a8101de, 0x97eae242,
1012   0x4a6c90ad, 0x97dc4349,
1013   0x4a581c9e, 0x97cda855, 0x4a43a5b0, 0x97bf1165, 0x4a2f2be6, 0x97b07e7a,
1014   0x4a1aaf3f, 0x97a1ef94,
1015   0x4a062fbd, 0x979364b5, 0x49f1ad61, 0x9784dddc, 0x49dd282a, 0x97765b0a,
1016   0x49c8a01b, 0x9767dc41,
1017   0x49b41533, 0x9759617f, 0x499f8774, 0x974aeac6, 0x498af6df, 0x973c7817,
1018   0x49766373, 0x972e0971,
1019   0x4961cd33, 0x971f9ed7, 0x494d341e, 0x97113847, 0x49389836, 0x9702d5c3,
1020   0x4923f97b, 0x96f4774b,
1021   0x490f57ee, 0x96e61ce0, 0x48fab391, 0x96d7c682, 0x48e60c62, 0x96c97432,
1022   0x48d16265, 0x96bb25f0,
1023   0x48bcb599, 0x96acdbbe, 0x48a805ff, 0x969e959b, 0x48935397, 0x96905388,
1024   0x487e9e64, 0x96821585,
1025   0x4869e665, 0x9673db94, 0x48552b9b, 0x9665a5b4, 0x48406e08, 0x965773e7,
1026   0x482badab, 0x9649462d,
1027   0x4816ea86, 0x963b1c86, 0x48022499, 0x962cf6f2, 0x47ed5be6, 0x961ed574,
1028   0x47d8906d, 0x9610b80a,
1029   0x47c3c22f, 0x96029eb6, 0x47aef12c, 0x95f48977, 0x479a1d67, 0x95e67850,
1030   0x478546de, 0x95d86b3f,
1031   0x47706d93, 0x95ca6247, 0x475b9188, 0x95bc5d66, 0x4746b2bc, 0x95ae5c9f,
1032   0x4731d131, 0x95a05ff0,
1033   0x471cece7, 0x9592675c, 0x470805df, 0x958472e2, 0x46f31c1a, 0x95768283,
1034   0x46de2f99, 0x9568963f,
1035   0x46c9405c, 0x955aae17, 0x46b44e65, 0x954cca0c, 0x469f59b4, 0x953eea1e,
1036   0x468a624a, 0x95310e4e,
1037   0x46756828, 0x9523369c, 0x46606b4e, 0x95156308, 0x464b6bbe, 0x95079394,
1038   0x46366978, 0x94f9c83f,
1039   0x4621647d, 0x94ec010b, 0x460c5cce, 0x94de3df8, 0x45f7526b, 0x94d07f05,
1040   0x45e24556, 0x94c2c435,
1041   0x45cd358f, 0x94b50d87, 0x45b82318, 0x94a75afd, 0x45a30df0, 0x9499ac95,
1042   0x458df619, 0x948c0252,
1043   0x4578db93, 0x947e5c33, 0x4563be60, 0x9470ba39, 0x454e9e80, 0x94631c65,
1044   0x45397bf4, 0x945582b7,
1045   0x452456bd, 0x9447ed2f, 0x450f2edb, 0x943a5bcf, 0x44fa0450, 0x942cce96,
1046   0x44e4d71c, 0x941f4585,
1047   0x44cfa740, 0x9411c09e, 0x44ba74bd, 0x94043fdf, 0x44a53f93, 0x93f6c34a,
1048   0x449007c4, 0x93e94adf,
1049   0x447acd50, 0x93dbd6a0, 0x44659039, 0x93ce668b, 0x4450507e, 0x93c0faa3,
1050   0x443b0e21, 0x93b392e6,
1051   0x4425c923, 0x93a62f57, 0x44108184, 0x9398cff5, 0x43fb3746, 0x938b74c1,
1052   0x43e5ea68, 0x937e1dbb,
1053   0x43d09aed, 0x9370cae4, 0x43bb48d4, 0x93637c3d, 0x43a5f41e, 0x935631c5,
1054   0x43909ccd, 0x9348eb7e,
1055   0x437b42e1, 0x933ba968, 0x4365e65b, 0x932e6b84, 0x4350873c, 0x932131d1,
1056   0x433b2585, 0x9313fc51,
1057   0x4325c135, 0x9306cb04, 0x43105a50, 0x92f99deb, 0x42faf0d4, 0x92ec7505,
1058   0x42e584c3, 0x92df5054,
1059   0x42d0161e, 0x92d22fd9, 0x42baa4e6, 0x92c51392, 0x42a5311b, 0x92b7fb82,
1060   0x428fbabe, 0x92aae7a8,
1061   0x427a41d0, 0x929dd806, 0x4264c653, 0x9290cc9b, 0x424f4845, 0x9283c568,
1062   0x4239c7aa, 0x9276c26d,
1063   0x42244481, 0x9269c3ac, 0x420ebecb, 0x925cc924, 0x41f93689, 0x924fd2d7,
1064   0x41e3abbc, 0x9242e0c4,
1065   0x41ce1e65, 0x9235f2ec, 0x41b88e84, 0x9229094f, 0x41a2fc1a, 0x921c23ef,
1066   0x418d6729, 0x920f42cb,
1067   0x4177cfb1, 0x920265e4, 0x416235b2, 0x91f58d3b, 0x414c992f, 0x91e8b8d0,
1068   0x4136fa27, 0x91dbe8a4,
1069   0x4121589b, 0x91cf1cb6, 0x410bb48c, 0x91c25508, 0x40f60dfb, 0x91b5919a,
1070   0x40e064ea, 0x91a8d26d,
1071   0x40cab958, 0x919c1781, 0x40b50b46, 0x918f60d6, 0x409f5ab6, 0x9182ae6d,
1072   0x4089a7a8, 0x91760047,
1073   0x4073f21d, 0x91695663, 0x405e3a16, 0x915cb0c3, 0x40487f94, 0x91500f67,
1074   0x4032c297, 0x91437250,
1075   0x401d0321, 0x9136d97d, 0x40074132, 0x912a44f0, 0x3ff17cca, 0x911db4a9,
1076   0x3fdbb5ec, 0x911128a8,
1077   0x3fc5ec98, 0x9104a0ee, 0x3fb020ce, 0x90f81d7b, 0x3f9a5290, 0x90eb9e50,
1078   0x3f8481dd, 0x90df236e,
1079   0x3f6eaeb8, 0x90d2acd4, 0x3f58d921, 0x90c63a83, 0x3f430119, 0x90b9cc7d,
1080   0x3f2d26a0, 0x90ad62c0,
1081   0x3f1749b8, 0x90a0fd4e, 0x3f016a61, 0x90949c28, 0x3eeb889c, 0x90883f4d,
1082   0x3ed5a46b, 0x907be6be,
1083   0x3ebfbdcd, 0x906f927c, 0x3ea9d4c3, 0x90634287, 0x3e93e950, 0x9056f6df,
1084   0x3e7dfb73, 0x904aaf86,
1085   0x3e680b2c, 0x903e6c7b, 0x3e52187f, 0x90322dbf, 0x3e3c2369, 0x9025f352,
1086   0x3e262bee, 0x9019bd36,
1087   0x3e10320d, 0x900d8b69, 0x3dfa35c8, 0x90015dee, 0x3de4371f, 0x8ff534c4,
1088   0x3dce3614, 0x8fe90fec,
1089   0x3db832a6, 0x8fdcef66, 0x3da22cd7, 0x8fd0d333, 0x3d8c24a8, 0x8fc4bb53,
1090   0x3d761a19, 0x8fb8a7c7,
1091   0x3d600d2c, 0x8fac988f, 0x3d49fde1, 0x8fa08dab, 0x3d33ec39, 0x8f94871d,
1092   0x3d1dd835, 0x8f8884e4,
1093   0x3d07c1d6, 0x8f7c8701, 0x3cf1a91c, 0x8f708d75, 0x3cdb8e09, 0x8f649840,
1094   0x3cc5709e, 0x8f58a761,
1095   0x3caf50da, 0x8f4cbadb, 0x3c992ec0, 0x8f40d2ad, 0x3c830a50, 0x8f34eed8,
1096   0x3c6ce38a, 0x8f290f5c,
1097   0x3c56ba70, 0x8f1d343a, 0x3c408f03, 0x8f115d72, 0x3c2a6142, 0x8f058b04,
1098   0x3c143130, 0x8ef9bcf2,
1099   0x3bfdfecd, 0x8eedf33b, 0x3be7ca1a, 0x8ee22de0, 0x3bd19318, 0x8ed66ce1,
1100   0x3bbb59c7, 0x8ecab040,
1101   0x3ba51e29, 0x8ebef7fb, 0x3b8ee03e, 0x8eb34415, 0x3b78a007, 0x8ea7948c,
1102   0x3b625d86, 0x8e9be963,
1103   0x3b4c18ba, 0x8e904298, 0x3b35d1a5, 0x8e84a02d, 0x3b1f8848, 0x8e790222,
1104   0x3b093ca3, 0x8e6d6877,
1105   0x3af2eeb7, 0x8e61d32e, 0x3adc9e86, 0x8e564246, 0x3ac64c0f, 0x8e4ab5bf,
1106   0x3aaff755, 0x8e3f2d9b,
1107   0x3a99a057, 0x8e33a9da, 0x3a834717, 0x8e282a7b, 0x3a6ceb96, 0x8e1caf80,
1108   0x3a568dd4, 0x8e1138ea,
1109   0x3a402dd2, 0x8e05c6b7, 0x3a29cb91, 0x8dfa58ea, 0x3a136712, 0x8deeef82,
1110   0x39fd0056, 0x8de38a80,
1111   0x39e6975e, 0x8dd829e4, 0x39d02c2a, 0x8dcccdaf, 0x39b9bebc, 0x8dc175e0,
1112   0x39a34f13, 0x8db6227a,
1113   0x398cdd32, 0x8daad37b, 0x39766919, 0x8d9f88e5, 0x395ff2c9, 0x8d9442b8,
1114   0x39497a43, 0x8d8900f3,
1115   0x3932ff87, 0x8d7dc399, 0x391c8297, 0x8d728aa9, 0x39060373, 0x8d675623,
1116   0x38ef821c, 0x8d5c2609,
1117   0x38d8fe93, 0x8d50fa59, 0x38c278d9, 0x8d45d316, 0x38abf0ef, 0x8d3ab03f,
1118   0x389566d6, 0x8d2f91d5,
1119   0x387eda8e, 0x8d2477d8, 0x38684c19, 0x8d196249, 0x3851bb77, 0x8d0e5127,
1120   0x383b28a9, 0x8d034474,
1121   0x382493b0, 0x8cf83c30, 0x380dfc8d, 0x8ced385b, 0x37f76341, 0x8ce238f6,
1122   0x37e0c7cc, 0x8cd73e01,
1123   0x37ca2a30, 0x8ccc477d, 0x37b38a6d, 0x8cc1556a, 0x379ce885, 0x8cb667c8,
1124   0x37864477, 0x8cab7e98,
1125   0x376f9e46, 0x8ca099da, 0x3758f5f2, 0x8c95b98f, 0x37424b7b, 0x8c8addb7,
1126   0x372b9ee3, 0x8c800652,
1127   0x3714f02a, 0x8c753362, 0x36fe3f52, 0x8c6a64e5, 0x36e78c5b, 0x8c5f9ade,
1128   0x36d0d746, 0x8c54d54c,
1129   0x36ba2014, 0x8c4a142f, 0x36a366c6, 0x8c3f5788, 0x368cab5c, 0x8c349f58,
1130   0x3675edd9, 0x8c29eb9f,
1131   0x365f2e3b, 0x8c1f3c5d, 0x36486c86, 0x8c149192, 0x3631a8b8, 0x8c09eb40,
1132   0x361ae2d3, 0x8bff4966,
1133   0x36041ad9, 0x8bf4ac05, 0x35ed50c9, 0x8bea131e, 0x35d684a6, 0x8bdf7eb0,
1134   0x35bfb66e, 0x8bd4eebc,
1135   0x35a8e625, 0x8bca6343, 0x359213c9, 0x8bbfdc44, 0x357b3f5d, 0x8bb559c1,
1136   0x356468e2, 0x8baadbba,
1137   0x354d9057, 0x8ba0622f, 0x3536b5be, 0x8b95ed21, 0x351fd918, 0x8b8b7c8f,
1138   0x3508fa66, 0x8b81107b,
1139   0x34f219a8, 0x8b76a8e4, 0x34db36df, 0x8b6c45cc, 0x34c4520d, 0x8b61e733,
1140   0x34ad6b32, 0x8b578d18,
1141   0x34968250, 0x8b4d377c, 0x347f9766, 0x8b42e661, 0x3468aa76, 0x8b3899c6,
1142   0x3451bb81, 0x8b2e51ab,
1143   0x343aca87, 0x8b240e11, 0x3423d78a, 0x8b19cef8, 0x340ce28b, 0x8b0f9462,
1144   0x33f5eb89, 0x8b055e4d,
1145   0x33def287, 0x8afb2cbb, 0x33c7f785, 0x8af0ffac, 0x33b0fa84, 0x8ae6d720,
1146   0x3399fb85, 0x8adcb318,
1147   0x3382fa88, 0x8ad29394, 0x336bf78f, 0x8ac87894, 0x3354f29b, 0x8abe6219,
1148   0x333debab, 0x8ab45024,
1149   0x3326e2c3, 0x8aaa42b4, 0x330fd7e1, 0x8aa039cb, 0x32f8cb07, 0x8a963567,
1150   0x32e1bc36, 0x8a8c358b,
1151   0x32caab6f, 0x8a823a36, 0x32b398b3, 0x8a784368, 0x329c8402, 0x8a6e5123,
1152   0x32856d5e, 0x8a646365,
1153   0x326e54c7, 0x8a5a7a31, 0x32573a3f, 0x8a509585, 0x32401dc6, 0x8a46b564,
1154   0x3228ff5c, 0x8a3cd9cc,
1155   0x3211df04, 0x8a3302be, 0x31fabcbd, 0x8a29303b, 0x31e39889, 0x8a1f6243,
1156   0x31cc7269, 0x8a1598d6,
1157   0x31b54a5e, 0x8a0bd3f5, 0x319e2067, 0x8a0213a0, 0x3186f487, 0x89f857d8,
1158   0x316fc6be, 0x89eea09d,
1159   0x3158970e, 0x89e4edef, 0x31416576, 0x89db3fcf, 0x312a31f8, 0x89d1963c,
1160   0x3112fc95, 0x89c7f138,
1161   0x30fbc54d, 0x89be50c3, 0x30e48c22, 0x89b4b4dd, 0x30cd5115, 0x89ab1d87,
1162   0x30b61426, 0x89a18ac0,
1163   0x309ed556, 0x8997fc8a, 0x308794a6, 0x898e72e4, 0x30705217, 0x8984edcf,
1164   0x30590dab, 0x897b6d4c,
1165   0x3041c761, 0x8971f15a, 0x302a7f3a, 0x896879fb, 0x30133539, 0x895f072e,
1166   0x2ffbe95d, 0x895598f3,
1167   0x2fe49ba7, 0x894c2f4c, 0x2fcd4c19, 0x8942ca39, 0x2fb5fab2, 0x893969b9,
1168   0x2f9ea775, 0x89300dce,
1169   0x2f875262, 0x8926b677, 0x2f6ffb7a, 0x891d63b5, 0x2f58a2be, 0x89141589,
1170   0x2f41482e, 0x890acbf2,
1171   0x2f29ebcc, 0x890186f2, 0x2f128d99, 0x88f84687, 0x2efb2d95, 0x88ef0ab4,
1172   0x2ee3cbc1, 0x88e5d378,
1173   0x2ecc681e, 0x88dca0d3, 0x2eb502ae, 0x88d372c6, 0x2e9d9b70, 0x88ca4951,
1174   0x2e863267, 0x88c12475,
1175   0x2e6ec792, 0x88b80432, 0x2e575af3, 0x88aee888, 0x2e3fec8b, 0x88a5d177,
1176   0x2e287c5a, 0x889cbf01,
1177   0x2e110a62, 0x8893b125, 0x2df996a3, 0x888aa7e3, 0x2de2211e, 0x8881a33d,
1178   0x2dcaa9d5, 0x8878a332,
1179   0x2db330c7, 0x886fa7c2, 0x2d9bb5f6, 0x8866b0ef, 0x2d843964, 0x885dbeb8,
1180   0x2d6cbb10, 0x8854d11e,
1181   0x2d553afc, 0x884be821, 0x2d3db928, 0x884303c1, 0x2d263596, 0x883a23ff,
1182   0x2d0eb046, 0x883148db,
1183   0x2cf72939, 0x88287256, 0x2cdfa071, 0x881fa06f, 0x2cc815ee, 0x8816d327,
1184   0x2cb089b1, 0x880e0a7f,
1185   0x2c98fbba, 0x88054677, 0x2c816c0c, 0x87fc870f, 0x2c69daa6, 0x87f3cc48,
1186   0x2c52478a, 0x87eb1621,
1187   0x2c3ab2b9, 0x87e2649b, 0x2c231c33, 0x87d9b7b7, 0x2c0b83fa, 0x87d10f75,
1188   0x2bf3ea0d, 0x87c86bd5,
1189   0x2bdc4e6f, 0x87bfccd7, 0x2bc4b120, 0x87b7327d, 0x2bad1221, 0x87ae9cc5,
1190   0x2b957173, 0x87a60bb1,
1191   0x2b7dcf17, 0x879d7f41, 0x2b662b0e, 0x8794f774, 0x2b4e8558, 0x878c744d,
1192   0x2b36ddf7, 0x8783f5ca,
1193   0x2b1f34eb, 0x877b7bec, 0x2b078a36, 0x877306b4, 0x2aefddd8, 0x876a9621,
1194   0x2ad82fd2, 0x87622a35,
1195   0x2ac08026, 0x8759c2ef, 0x2aa8ced3, 0x87516050, 0x2a911bdc, 0x87490258,
1196   0x2a796740, 0x8740a907,
1197   0x2a61b101, 0x8738545e, 0x2a49f920, 0x8730045d, 0x2a323f9e, 0x8727b905,
1198   0x2a1a847b, 0x871f7255,
1199   0x2a02c7b8, 0x8717304e, 0x29eb0957, 0x870ef2f1, 0x29d34958, 0x8706ba3d,
1200   0x29bb87bc, 0x86fe8633,
1201   0x29a3c485, 0x86f656d3, 0x298bffb2, 0x86ee2c1e, 0x29743946, 0x86e60614,
1202   0x295c7140, 0x86dde4b5,
1203   0x2944a7a2, 0x86d5c802, 0x292cdc6d, 0x86cdaffa, 0x29150fa1, 0x86c59c9f,
1204   0x28fd4140, 0x86bd8df0,
1205   0x28e5714b, 0x86b583ee, 0x28cd9fc1, 0x86ad7e99, 0x28b5cca5, 0x86a57df2,
1206   0x289df7f8, 0x869d81f8,
1207   0x288621b9, 0x86958aac, 0x286e49ea, 0x868d980e, 0x2856708d, 0x8685aa20,
1208   0x283e95a1, 0x867dc0e0,
1209   0x2826b928, 0x8675dc4f, 0x280edb23, 0x866dfc6e, 0x27f6fb92, 0x8666213c,
1210   0x27df1a77, 0x865e4abb,
1211   0x27c737d3, 0x865678eb, 0x27af53a6, 0x864eabcb, 0x27976df1, 0x8646e35c,
1212   0x277f86b5, 0x863f1f9e,
1213   0x27679df4, 0x86376092, 0x274fb3ae, 0x862fa638, 0x2737c7e3, 0x8627f091,
1214   0x271fda96, 0x86203f9c,
1215   0x2707ebc7, 0x86189359, 0x26effb76, 0x8610ebca, 0x26d809a5, 0x860948ef,
1216   0x26c01655, 0x8601aac7,
1217   0x26a82186, 0x85fa1153, 0x26902b39, 0x85f27c93, 0x26783370, 0x85eaec88,
1218   0x26603a2c, 0x85e36132,
1219   0x26483f6c, 0x85dbda91, 0x26304333, 0x85d458a6, 0x26184581, 0x85ccdb70,
1220   0x26004657, 0x85c562f1,
1221   0x25e845b6, 0x85bdef28, 0x25d0439f, 0x85b68015, 0x25b84012, 0x85af15b9,
1222   0x25a03b11, 0x85a7b015,
1223   0x2588349d, 0x85a04f28, 0x25702cb7, 0x8598f2f3, 0x2558235f, 0x85919b76,
1224   0x25401896, 0x858a48b1,
1225   0x25280c5e, 0x8582faa5, 0x250ffeb7, 0x857bb152, 0x24f7efa2, 0x85746cb8,
1226   0x24dfdf20, 0x856d2cd7,
1227   0x24c7cd33, 0x8565f1b0, 0x24afb9da, 0x855ebb44, 0x2497a517, 0x85578991,
1228   0x247f8eec, 0x85505c99,
1229   0x24677758, 0x8549345c, 0x244f5e5c, 0x854210db, 0x243743fa, 0x853af214,
1230   0x241f2833, 0x8533d809,
1231   0x24070b08, 0x852cc2bb, 0x23eeec78, 0x8525b228, 0x23d6cc87, 0x851ea652,
1232   0x23beab33, 0x85179f39,
1233   0x23a6887f, 0x85109cdd, 0x238e646a, 0x85099f3e, 0x23763ef7, 0x8502a65c,
1234   0x235e1826, 0x84fbb239,
1235   0x2345eff8, 0x84f4c2d4, 0x232dc66d, 0x84edd82d, 0x23159b88, 0x84e6f244,
1236   0x22fd6f48, 0x84e0111b,
1237   0x22e541af, 0x84d934b1, 0x22cd12bd, 0x84d25d06, 0x22b4e274, 0x84cb8a1b,
1238   0x229cb0d5, 0x84c4bbf0,
1239   0x22847de0, 0x84bdf286, 0x226c4996, 0x84b72ddb, 0x225413f8, 0x84b06df2,
1240   0x223bdd08, 0x84a9b2ca,
1241   0x2223a4c5, 0x84a2fc62, 0x220b6b32, 0x849c4abd, 0x21f3304f, 0x84959dd9,
1242   0x21daf41d, 0x848ef5b7,
1243   0x21c2b69c, 0x84885258, 0x21aa77cf, 0x8481b3bb, 0x219237b5, 0x847b19e1,
1244   0x2179f64f, 0x847484ca,
1245   0x2161b3a0, 0x846df477, 0x21496fa7, 0x846768e7, 0x21312a65, 0x8460e21a,
1246   0x2118e3dc, 0x845a6012,
1247   0x21009c0c, 0x8453e2cf, 0x20e852f6, 0x844d6a50, 0x20d0089c, 0x8446f695,
1248   0x20b7bcfe, 0x844087a0,
1249   0x209f701c, 0x843a1d70, 0x208721f9, 0x8433b806, 0x206ed295, 0x842d5762,
1250   0x205681f1, 0x8426fb84,
1251   0x203e300d, 0x8420a46c, 0x2025dcec, 0x841a521a, 0x200d888d, 0x84140490,
1252   0x1ff532f2, 0x840dbbcc,
1253   0x1fdcdc1b, 0x840777d0, 0x1fc4840a, 0x8401389b, 0x1fac2abf, 0x83fafe2e,
1254   0x1f93d03c, 0x83f4c889,
1255   0x1f7b7481, 0x83ee97ad, 0x1f63178f, 0x83e86b99, 0x1f4ab968, 0x83e2444d,
1256   0x1f325a0b, 0x83dc21cb,
1257   0x1f19f97b, 0x83d60412, 0x1f0197b8, 0x83cfeb22, 0x1ee934c3, 0x83c9d6fc,
1258   0x1ed0d09d, 0x83c3c7a0,
1259   0x1eb86b46, 0x83bdbd0e, 0x1ea004c1, 0x83b7b746, 0x1e879d0d, 0x83b1b649,
1260   0x1e6f342c, 0x83abba17,
1261   0x1e56ca1e, 0x83a5c2b0, 0x1e3e5ee5, 0x839fd014, 0x1e25f282, 0x8399e244,
1262   0x1e0d84f5, 0x8393f940,
1263   0x1df5163f, 0x838e1507, 0x1ddca662, 0x8388359b, 0x1dc4355e, 0x83825afb,
1264   0x1dabc334, 0x837c8528,
1265   0x1d934fe5, 0x8376b422, 0x1d7adb73, 0x8370e7e9, 0x1d6265dd, 0x836b207d,
1266   0x1d49ef26, 0x83655ddf,
1267   0x1d31774d, 0x835fa00f, 0x1d18fe54, 0x8359e70d, 0x1d00843d, 0x835432d8,
1268   0x1ce80906, 0x834e8373,
1269   0x1ccf8cb3, 0x8348d8dc, 0x1cb70f43, 0x83433314, 0x1c9e90b8, 0x833d921b,
1270   0x1c861113, 0x8337f5f1,
1271   0x1c6d9053, 0x83325e97, 0x1c550e7c, 0x832ccc0d, 0x1c3c8b8c, 0x83273e52,
1272   0x1c240786, 0x8321b568,
1273   0x1c0b826a, 0x831c314e, 0x1bf2fc3a, 0x8316b205, 0x1bda74f6, 0x8311378d,
1274   0x1bc1ec9e, 0x830bc1e6,
1275   0x1ba96335, 0x83065110, 0x1b90d8bb, 0x8300e50b, 0x1b784d30, 0x82fb7dd8,
1276   0x1b5fc097, 0x82f61b77,
1277   0x1b4732ef, 0x82f0bde8, 0x1b2ea43a, 0x82eb652b, 0x1b161479, 0x82e61141,
1278   0x1afd83ad, 0x82e0c22a,
1279   0x1ae4f1d6, 0x82db77e5, 0x1acc5ef6, 0x82d63274, 0x1ab3cb0d, 0x82d0f1d5,
1280   0x1a9b361d, 0x82cbb60b,
1281   0x1a82a026, 0x82c67f14, 0x1a6a0929, 0x82c14cf1, 0x1a517128, 0x82bc1fa2,
1282   0x1a38d823, 0x82b6f727,
1283   0x1a203e1b, 0x82b1d381, 0x1a07a311, 0x82acb4b0, 0x19ef0707, 0x82a79ab3,
1284   0x19d669fc, 0x82a2858c,
1285   0x19bdcbf3, 0x829d753a, 0x19a52ceb, 0x829869be, 0x198c8ce7, 0x82936317,
1286   0x1973ebe6, 0x828e6146,
1287   0x195b49ea, 0x8289644b, 0x1942a6f3, 0x82846c26, 0x192a0304, 0x827f78d8,
1288   0x19115e1c, 0x827a8a61,
1289   0x18f8b83c, 0x8275a0c0, 0x18e01167, 0x8270bbf7, 0x18c7699b, 0x826bdc04,
1290   0x18aec0db, 0x826700e9,
1291   0x18961728, 0x82622aa6, 0x187d6c82, 0x825d593a, 0x1864c0ea, 0x82588ca7,
1292   0x184c1461, 0x8253c4eb,
1293   0x183366e9, 0x824f0208, 0x181ab881, 0x824a43fe, 0x1802092c, 0x82458acc,
1294   0x17e958ea, 0x8240d673,
1295   0x17d0a7bc, 0x823c26f3, 0x17b7f5a3, 0x82377c4c, 0x179f429f, 0x8232d67f,
1296   0x17868eb3, 0x822e358b,
1297   0x176dd9de, 0x82299971, 0x17552422, 0x82250232, 0x173c6d80, 0x82206fcc,
1298   0x1723b5f9, 0x821be240,
1299   0x170afd8d, 0x82175990, 0x16f2443e, 0x8212d5b9, 0x16d98a0c, 0x820e56be,
1300   0x16c0cef9, 0x8209dc9e,
1301   0x16a81305, 0x82056758, 0x168f5632, 0x8200f6ef, 0x1676987f, 0x81fc8b60,
1302   0x165dd9f0, 0x81f824ae,
1303   0x16451a83, 0x81f3c2d7, 0x162c5a3b, 0x81ef65dc, 0x16139918, 0x81eb0dbe,
1304   0x15fad71b, 0x81e6ba7c,
1305   0x15e21445, 0x81e26c16, 0x15c95097, 0x81de228d, 0x15b08c12, 0x81d9dde1,
1306   0x1597c6b7, 0x81d59e13,
1307   0x157f0086, 0x81d16321, 0x15663982, 0x81cd2d0c, 0x154d71aa, 0x81c8fbd6,
1308   0x1534a901, 0x81c4cf7d,
1309   0x151bdf86, 0x81c0a801, 0x1503153a, 0x81bc8564, 0x14ea4a1f, 0x81b867a5,
1310   0x14d17e36, 0x81b44ec4,
1311   0x14b8b17f, 0x81b03ac2, 0x149fe3fc, 0x81ac2b9e, 0x148715ae, 0x81a82159,
1312   0x146e4694, 0x81a41bf4,
1313   0x145576b1, 0x81a01b6d, 0x143ca605, 0x819c1fc5, 0x1423d492, 0x819828fd,
1314   0x140b0258, 0x81943715,
1315   0x13f22f58, 0x81904a0c, 0x13d95b93, 0x818c61e3, 0x13c0870a, 0x81887e9a,
1316   0x13a7b1bf, 0x8184a032,
1317   0x138edbb1, 0x8180c6a9, 0x137604e2, 0x817cf201, 0x135d2d53, 0x8179223a,
1318   0x13445505, 0x81755754,
1319   0x132b7bf9, 0x8171914e, 0x1312a230, 0x816dd02a, 0x12f9c7aa, 0x816a13e6,
1320   0x12e0ec6a, 0x81665c84,
1321   0x12c8106f, 0x8162aa04, 0x12af33ba, 0x815efc65, 0x1296564d, 0x815b53a8,
1322   0x127d7829, 0x8157afcd,
1323   0x1264994e, 0x815410d4, 0x124bb9be, 0x815076bd, 0x1232d979, 0x814ce188,
1324   0x1219f880, 0x81495136,
1325   0x120116d5, 0x8145c5c7, 0x11e83478, 0x81423f3a, 0x11cf516a, 0x813ebd90,
1326   0x11b66dad, 0x813b40ca,
1327   0x119d8941, 0x8137c8e6, 0x1184a427, 0x813455e6, 0x116bbe60, 0x8130e7c9,
1328   0x1152d7ed, 0x812d7e8f,
1329   0x1139f0cf, 0x812a1a3a, 0x11210907, 0x8126bac8, 0x11082096, 0x8123603a,
1330   0x10ef377d, 0x81200a90,
1331   0x10d64dbd, 0x811cb9ca, 0x10bd6356, 0x81196de9, 0x10a4784b, 0x811626ec,
1332   0x108b8c9b, 0x8112e4d4,
1333   0x1072a048, 0x810fa7a0, 0x1059b352, 0x810c6f52, 0x1040c5bb, 0x81093be8,
1334   0x1027d784, 0x81060d63,
1335   0x100ee8ad, 0x8102e3c4, 0xff5f938, 0x80ffbf0a, 0xfdd0926, 0x80fc9f35,
1336   0xfc41876, 0x80f98446,
1337   0xfab272b, 0x80f66e3c, 0xf923546, 0x80f35d19, 0xf7942c7, 0x80f050db,
1338   0xf604faf, 0x80ed4984,
1339   0xf475bff, 0x80ea4712, 0xf2e67b8, 0x80e74987, 0xf1572dc, 0x80e450e2,
1340   0xefc7d6b, 0x80e15d24,
1341   0xee38766, 0x80de6e4c, 0xeca90ce, 0x80db845b, 0xeb199a4, 0x80d89f51,
1342   0xe98a1e9, 0x80d5bf2e,
1343   0xe7fa99e, 0x80d2e3f2, 0xe66b0c3, 0x80d00d9d, 0xe4db75b, 0x80cd3c2f,
1344   0xe34bd66, 0x80ca6fa9,
1345   0xe1bc2e4, 0x80c7a80a, 0xe02c7d7, 0x80c4e553, 0xde9cc40, 0x80c22784,
1346   0xdd0d01f, 0x80bf6e9c,
1347   0xdb7d376, 0x80bcba9d, 0xd9ed646, 0x80ba0b85, 0xd85d88f, 0x80b76156,
1348   0xd6cda53, 0x80b4bc0e,
1349   0xd53db92, 0x80b21baf, 0xd3adc4e, 0x80af8039, 0xd21dc87, 0x80ace9ab,
1350   0xd08dc3f, 0x80aa5806,
1351   0xcefdb76, 0x80a7cb49, 0xcd6da2d, 0x80a54376, 0xcbdd865, 0x80a2c08b,
1352   0xca4d620, 0x80a04289,
1353   0xc8bd35e, 0x809dc971, 0xc72d020, 0x809b5541, 0xc59cc68, 0x8098e5fb,
1354   0xc40c835, 0x80967b9f,
1355   0xc27c389, 0x8094162c, 0xc0ebe66, 0x8091b5a2, 0xbf5b8cb, 0x808f5a02,
1356   0xbdcb2bb, 0x808d034c,
1357   0xbc3ac35, 0x808ab180, 0xbaaa53b, 0x8088649e, 0xb919dcf, 0x80861ca6,
1358   0xb7895f0, 0x8083d998,
1359   0xb5f8d9f, 0x80819b74, 0xb4684df, 0x807f623b, 0xb2d7baf, 0x807d2dec,
1360   0xb147211, 0x807afe87,
1361   0xafb6805, 0x8078d40d, 0xae25d8d, 0x8076ae7e, 0xac952aa, 0x80748dd9,
1362   0xab0475c, 0x8072721f,
1363   0xa973ba5, 0x80705b50, 0xa7e2f85, 0x806e496c, 0xa6522fe, 0x806c3c74,
1364   0xa4c1610, 0x806a3466,
1365   0xa3308bd, 0x80683143, 0xa19fb04, 0x8066330c, 0xa00ece8, 0x806439c0,
1366   0x9e7de6a, 0x80624560,
1367   0x9cecf89, 0x806055eb, 0x9b5c048, 0x805e6b62, 0x99cb0a7, 0x805c85c4,
1368   0x983a0a7, 0x805aa512,
1369   0x96a9049, 0x8058c94c, 0x9517f8f, 0x8056f272, 0x9386e78, 0x80552084,
1370   0x91f5d06, 0x80535381,
1371   0x9064b3a, 0x80518b6b, 0x8ed3916, 0x804fc841, 0x8d42699, 0x804e0a04,
1372   0x8bb13c5, 0x804c50b2,
1373   0x8a2009a, 0x804a9c4d, 0x888ed1b, 0x8048ecd5, 0x86fd947, 0x80474248,
1374   0x856c520, 0x80459ca9,
1375   0x83db0a7, 0x8043fbf6, 0x8249bdd, 0x80426030, 0x80b86c2, 0x8040c956,
1376   0x7f27157, 0x803f376a,
1377   0x7d95b9e, 0x803daa6a, 0x7c04598, 0x803c2257, 0x7a72f45, 0x803a9f31,
1378   0x78e18a7, 0x803920f8,
1379   0x77501be, 0x8037a7ac, 0x75bea8c, 0x8036334e, 0x742d311, 0x8034c3dd,
1380   0x729bb4e, 0x80335959,
1381   0x710a345, 0x8031f3c2, 0x6f78af6, 0x80309318, 0x6de7262, 0x802f375d,
1382   0x6c5598a, 0x802de08e,
1383   0x6ac406f, 0x802c8ead, 0x6932713, 0x802b41ba, 0x67a0d76, 0x8029f9b4,
1384   0x660f398, 0x8028b69c,
1385   0x647d97c, 0x80277872, 0x62ebf22, 0x80263f36, 0x615a48b, 0x80250ae7,
1386   0x5fc89b8, 0x8023db86,
1387   0x5e36ea9, 0x8022b114, 0x5ca5361, 0x80218b8f, 0x5b137df, 0x80206af8,
1388   0x5981c26, 0x801f4f4f,
1389   0x57f0035, 0x801e3895, 0x565e40d, 0x801d26c8, 0x54cc7b1, 0x801c19ea,
1390   0x533ab20, 0x801b11fa,
1391   0x51a8e5c, 0x801a0ef8, 0x5017165, 0x801910e4, 0x4e8543e, 0x801817bf,
1392   0x4cf36e5, 0x80172388,
1393   0x4b6195d, 0x80163440, 0x49cfba7, 0x801549e6, 0x483ddc3, 0x8014647b,
1394   0x46abfb3, 0x801383fe,
1395   0x451a177, 0x8012a86f, 0x4388310, 0x8011d1d0, 0x41f6480, 0x8011001f,
1396   0x40645c7, 0x8010335c,
1397   0x3ed26e6, 0x800f6b88, 0x3d407df, 0x800ea8a3, 0x3bae8b2, 0x800deaad,
1398   0x3a1c960, 0x800d31a5,
1399   0x388a9ea, 0x800c7d8c, 0x36f8a51, 0x800bce63, 0x3566a96, 0x800b2427,
1400   0x33d4abb, 0x800a7edb,
1401   0x3242abf, 0x8009de7e, 0x30b0aa4, 0x80094310, 0x2f1ea6c, 0x8008ac90,
1402   0x2d8ca16, 0x80081b00,
1403   0x2bfa9a4, 0x80078e5e, 0x2a68917, 0x800706ac, 0x28d6870, 0x800683e8,
1404   0x27447b0, 0x80060614,
1405   0x25b26d7, 0x80058d2f, 0x24205e8, 0x80051939, 0x228e4e2, 0x8004aa32,
1406   0x20fc3c6, 0x8004401a,
1407   0x1f6a297, 0x8003daf1, 0x1dd8154, 0x80037ab7, 0x1c45ffe, 0x80031f6d,
1408   0x1ab3e97, 0x8002c912,
1409   0x1921d20, 0x800277a6, 0x178fb99, 0x80022b29, 0x15fda03, 0x8001e39b,
1410   0x146b860, 0x8001a0fd,
1411   0x12d96b1, 0x8001634e, 0x11474f6, 0x80012a8e, 0xfb5330, 0x8000f6bd,
1412   0xe23160, 0x8000c7dc,
1413   0xc90f88, 0x80009dea, 0xafeda8, 0x800078e7, 0x96cbc1, 0x800058d4, 0x7da9d4,
1414   0x80003daf,
1415   0x6487e3, 0x8000277a, 0x4b65ee, 0x80001635, 0x3243f5, 0x800009df, 0x1921fb,
1416   0x80000278,
1417 };
1418
1419 /**
1420 * \par
1421 * cosFactor tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre>
1422 * \par
1423 * C command to generate the table
1424 * <pre>
1425 * for(i = 0; i< N; i++)
1426 * {
1427 *   cos_factors[i]= 2 * cos((2*i+1)*c/2);
1428 * } </pre>
1429 * \par
1430 * where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code>
1431 * \par
1432 * Then converted to q31 format by multiplying with 2^31 and saturated if required.
1433 */
1434
1435
1436 static const q31_t cos_factorsQ31_128[128] = {
1437   0x7fff6216, 0x7ffa72d1, 0x7ff09478, 0x7fe1c76b, 0x7fce0c3e, 0x7fb563b3,
1438   0x7f97cebd, 0x7f754e80,
1439   0x7f4de451, 0x7f2191b4, 0x7ef05860, 0x7eba3a39, 0x7e7f3957, 0x7e3f57ff,
1440   0x7dfa98a8, 0x7db0fdf8,
1441   0x7d628ac6, 0x7d0f4218, 0x7cb72724, 0x7c5a3d50, 0x7bf88830, 0x7b920b89,
1442   0x7b26cb4f, 0x7ab6cba4,
1443   0x7a4210d8, 0x79c89f6e, 0x794a7c12, 0x78c7aba2, 0x78403329, 0x77b417df,
1444   0x77235f2d, 0x768e0ea6,
1445   0x75f42c0b, 0x7555bd4c, 0x74b2c884, 0x740b53fb, 0x735f6626, 0x72af05a7,
1446   0x71fa3949, 0x71410805,
1447   0x708378ff, 0x6fc19385, 0x6efb5f12, 0x6e30e34a, 0x6d6227fa, 0x6c8f351c,
1448   0x6bb812d1, 0x6adcc964,
1449   0x69fd614a, 0x6919e320, 0x683257ab, 0x6746c7d8, 0x66573cbb, 0x6563bf92,
1450   0x646c59bf, 0x637114cc,
1451   0x6271fa69, 0x616f146c, 0x60686ccf, 0x5f5e0db3, 0x5e50015d, 0x5d3e5237,
1452   0x5c290acc, 0x5b1035cf,
1453   0x59f3de12, 0x58d40e8c, 0x57b0d256, 0x568a34a9, 0x556040e2, 0x5433027d,
1454   0x53028518, 0x51ced46e,
1455   0x5097fc5e, 0x4f5e08e3, 0x4e210617, 0x4ce10034, 0x4b9e0390, 0x4a581c9e,
1456   0x490f57ee, 0x47c3c22f,
1457   0x46756828, 0x452456bd, 0x43d09aed, 0x427a41d0, 0x4121589b, 0x3fc5ec98,
1458   0x3e680b2c, 0x3d07c1d6,
1459   0x3ba51e29, 0x3a402dd2, 0x38d8fe93, 0x376f9e46, 0x36041ad9, 0x34968250,
1460   0x3326e2c3, 0x31b54a5e,
1461   0x3041c761, 0x2ecc681e, 0x2d553afc, 0x2bdc4e6f, 0x2a61b101, 0x28e5714b,
1462   0x27679df4, 0x25e845b6,
1463   0x24677758, 0x22e541af, 0x2161b3a0, 0x1fdcdc1b, 0x1e56ca1e, 0x1ccf8cb3,
1464   0x1b4732ef, 0x19bdcbf3,
1465   0x183366e9, 0x16a81305, 0x151bdf86, 0x138edbb1, 0x120116d5, 0x1072a048,
1466   0xee38766, 0xd53db92,
1467   0xbc3ac35, 0xa3308bd, 0x8a2009a, 0x710a345, 0x57f0035, 0x3ed26e6, 0x25b26d7,
1468   0xc90f88,
1469 };
1470
1471 static const q31_t cos_factorsQ31_512[512] = {
1472   0x7ffff621, 0x7fffa72c, 0x7fff0943, 0x7ffe1c65, 0x7ffce093, 0x7ffb55ce,
1473   0x7ff97c18, 0x7ff75370,
1474   0x7ff4dbd9, 0x7ff21553, 0x7feeffe1, 0x7feb9b85, 0x7fe7e841, 0x7fe3e616,
1475   0x7fdf9508, 0x7fdaf519,
1476   0x7fd6064c, 0x7fd0c8a3, 0x7fcb3c23, 0x7fc560cf, 0x7fbf36aa, 0x7fb8bdb8,
1477   0x7fb1f5fc, 0x7faadf7c,
1478   0x7fa37a3c, 0x7f9bc640, 0x7f93c38c, 0x7f8b7227, 0x7f82d214, 0x7f79e35a,
1479   0x7f70a5fe, 0x7f671a05,
1480   0x7f5d3f75, 0x7f531655, 0x7f489eaa, 0x7f3dd87c, 0x7f32c3d1, 0x7f2760af,
1481   0x7f1baf1e, 0x7f0faf25,
1482   0x7f0360cb, 0x7ef6c418, 0x7ee9d914, 0x7edc9fc6, 0x7ecf1837, 0x7ec14270,
1483   0x7eb31e78, 0x7ea4ac58,
1484   0x7e95ec1a, 0x7e86ddc6, 0x7e778166, 0x7e67d703, 0x7e57dea7, 0x7e47985b,
1485   0x7e37042a, 0x7e26221f,
1486   0x7e14f242, 0x7e0374a0, 0x7df1a942, 0x7ddf9034, 0x7dcd2981, 0x7dba7534,
1487   0x7da77359, 0x7d9423fc,
1488   0x7d808728, 0x7d6c9ce9, 0x7d58654d, 0x7d43e05e, 0x7d2f0e2b, 0x7d19eebf,
1489   0x7d048228, 0x7ceec873,
1490   0x7cd8c1ae, 0x7cc26de5, 0x7cabcd28, 0x7c94df83, 0x7c7da505, 0x7c661dbc,
1491   0x7c4e49b7, 0x7c362904,
1492   0x7c1dbbb3, 0x7c0501d2, 0x7bebfb70, 0x7bd2a89e, 0x7bb9096b, 0x7b9f1de6,
1493   0x7b84e61f, 0x7b6a6227,
1494   0x7b4f920e, 0x7b3475e5, 0x7b190dbc, 0x7afd59a4, 0x7ae159ae, 0x7ac50dec,
1495   0x7aa8766f, 0x7a8b9348,
1496   0x7a6e648a, 0x7a50ea47, 0x7a332490, 0x7a151378, 0x79f6b711, 0x79d80f6f,
1497   0x79b91ca4, 0x7999dec4,
1498   0x797a55e0, 0x795a820e, 0x793a6361, 0x7919f9ec, 0x78f945c3, 0x78d846fb,
1499   0x78b6fda8, 0x789569df,
1500   0x78738bb3, 0x7851633b, 0x782ef08b, 0x780c33b8, 0x77e92cd9, 0x77c5dc01,
1501   0x77a24148, 0x777e5cc3,
1502   0x775a2e89, 0x7735b6af, 0x7710f54c, 0x76ebea77, 0x76c69647, 0x76a0f8d2,
1503   0x767b1231, 0x7654e279,
1504   0x762e69c4, 0x7607a828, 0x75e09dbd, 0x75b94a9c, 0x7591aedd, 0x7569ca99,
1505   0x75419de7, 0x751928e0,
1506   0x74f06b9e, 0x74c7663a, 0x749e18cd, 0x74748371, 0x744aa63f, 0x74208150,
1507   0x73f614c0, 0x73cb60a8,
1508   0x73a06522, 0x73752249, 0x73499838, 0x731dc70a, 0x72f1aed9, 0x72c54fc1,
1509   0x7298a9dd, 0x726bbd48,
1510   0x723e8a20, 0x7211107e, 0x71e35080, 0x71b54a41, 0x7186fdde, 0x71586b74,
1511   0x7129931f, 0x70fa74fc,
1512   0x70cb1128, 0x709b67c0, 0x706b78e3, 0x703b44ad, 0x700acb3c, 0x6fda0cae,
1513   0x6fa90921, 0x6f77c0b3,
1514   0x6f463383, 0x6f1461b0, 0x6ee24b57, 0x6eaff099, 0x6e7d5193, 0x6e4a6e66,
1515   0x6e174730, 0x6de3dc11,
1516   0x6db02d29, 0x6d7c3a98, 0x6d48047e, 0x6d138afb, 0x6cdece2f, 0x6ca9ce3b,
1517   0x6c748b3f, 0x6c3f055d,
1518   0x6c093cb6, 0x6bd3316a, 0x6b9ce39b, 0x6b66536b, 0x6b2f80fb, 0x6af86c6c,
1519   0x6ac115e2, 0x6a897d7d,
1520   0x6a51a361, 0x6a1987b0, 0x69e12a8c, 0x69a88c19, 0x696fac78, 0x69368bce,
1521   0x68fd2a3d, 0x68c387e9,
1522   0x6889a4f6, 0x684f8186, 0x68151dbe, 0x67da79c3, 0x679f95b7, 0x676471c0,
1523   0x67290e02, 0x66ed6aa1,
1524   0x66b187c3, 0x6675658c, 0x66390422, 0x65fc63a9, 0x65bf8447, 0x65826622,
1525   0x6545095f, 0x65076e25,
1526   0x64c99498, 0x648b7ce0, 0x644d2722, 0x640e9386, 0x63cfc231, 0x6390b34a,
1527   0x635166f9, 0x6311dd64,
1528   0x62d216b3, 0x6292130c, 0x6251d298, 0x6211557e, 0x61d09be5, 0x618fa5f7,
1529   0x614e73da, 0x610d05b7,
1530   0x60cb5bb7, 0x60897601, 0x604754bf, 0x6004f819, 0x5fc26038, 0x5f7f8d46,
1531   0x5f3c7f6b, 0x5ef936d1,
1532   0x5eb5b3a2, 0x5e71f606, 0x5e2dfe29, 0x5de9cc33, 0x5da5604f, 0x5d60baa7,
1533   0x5d1bdb65, 0x5cd6c2b5,
1534   0x5c9170bf, 0x5c4be5b0, 0x5c0621b2, 0x5bc024f0, 0x5b79ef96, 0x5b3381ce,
1535   0x5aecdbc5, 0x5aa5fda5,
1536   0x5a5ee79a, 0x5a1799d1, 0x59d01475, 0x598857b2, 0x594063b5, 0x58f838a9,
1537   0x58afd6bd, 0x58673e1b,
1538   0x581e6ef1, 0x57d5696d, 0x578c2dba, 0x5742bc06, 0x56f9147e, 0x56af3750,
1539   0x566524aa, 0x561adcb9,
1540   0x55d05faa, 0x5585adad, 0x553ac6ee, 0x54efab9c, 0x54a45be6, 0x5458d7f9,
1541   0x540d2005, 0x53c13439,
1542   0x537514c2, 0x5328c1d0, 0x52dc3b92, 0x528f8238, 0x524295f0, 0x51f576ea,
1543   0x51a82555, 0x515aa162,
1544   0x510ceb40, 0x50bf031f, 0x5070e92f, 0x50229da1, 0x4fd420a4, 0x4f857269,
1545   0x4f369320, 0x4ee782fb,
1546   0x4e984229, 0x4e48d0dd, 0x4df92f46, 0x4da95d96, 0x4d595bfe, 0x4d092ab0,
1547   0x4cb8c9dd, 0x4c6839b7,
1548   0x4c177a6e, 0x4bc68c36, 0x4b756f40, 0x4b2423be, 0x4ad2a9e2, 0x4a8101de,
1549   0x4a2f2be6, 0x49dd282a,
1550   0x498af6df, 0x49389836, 0x48e60c62, 0x48935397, 0x48406e08, 0x47ed5be6,
1551   0x479a1d67, 0x4746b2bc,
1552   0x46f31c1a, 0x469f59b4, 0x464b6bbe, 0x45f7526b, 0x45a30df0, 0x454e9e80,
1553   0x44fa0450, 0x44a53f93,
1554   0x4450507e, 0x43fb3746, 0x43a5f41e, 0x4350873c, 0x42faf0d4, 0x42a5311b,
1555   0x424f4845, 0x41f93689,
1556   0x41a2fc1a, 0x414c992f, 0x40f60dfb, 0x409f5ab6, 0x40487f94, 0x3ff17cca,
1557   0x3f9a5290, 0x3f430119,
1558   0x3eeb889c, 0x3e93e950, 0x3e3c2369, 0x3de4371f, 0x3d8c24a8, 0x3d33ec39,
1559   0x3cdb8e09, 0x3c830a50,
1560   0x3c2a6142, 0x3bd19318, 0x3b78a007, 0x3b1f8848, 0x3ac64c0f, 0x3a6ceb96,
1561   0x3a136712, 0x39b9bebc,
1562   0x395ff2c9, 0x39060373, 0x38abf0ef, 0x3851bb77, 0x37f76341, 0x379ce885,
1563   0x37424b7b, 0x36e78c5b,
1564   0x368cab5c, 0x3631a8b8, 0x35d684a6, 0x357b3f5d, 0x351fd918, 0x34c4520d,
1565   0x3468aa76, 0x340ce28b,
1566   0x33b0fa84, 0x3354f29b, 0x32f8cb07, 0x329c8402, 0x32401dc6, 0x31e39889,
1567   0x3186f487, 0x312a31f8,
1568   0x30cd5115, 0x30705217, 0x30133539, 0x2fb5fab2, 0x2f58a2be, 0x2efb2d95,
1569   0x2e9d9b70, 0x2e3fec8b,
1570   0x2de2211e, 0x2d843964, 0x2d263596, 0x2cc815ee, 0x2c69daa6, 0x2c0b83fa,
1571   0x2bad1221, 0x2b4e8558,
1572   0x2aefddd8, 0x2a911bdc, 0x2a323f9e, 0x29d34958, 0x29743946, 0x29150fa1,
1573   0x28b5cca5, 0x2856708d,
1574   0x27f6fb92, 0x27976df1, 0x2737c7e3, 0x26d809a5, 0x26783370, 0x26184581,
1575   0x25b84012, 0x2558235f,
1576   0x24f7efa2, 0x2497a517, 0x243743fa, 0x23d6cc87, 0x23763ef7, 0x23159b88,
1577   0x22b4e274, 0x225413f8,
1578   0x21f3304f, 0x219237b5, 0x21312a65, 0x20d0089c, 0x206ed295, 0x200d888d,
1579   0x1fac2abf, 0x1f4ab968,
1580   0x1ee934c3, 0x1e879d0d, 0x1e25f282, 0x1dc4355e, 0x1d6265dd, 0x1d00843d,
1581   0x1c9e90b8, 0x1c3c8b8c,
1582   0x1bda74f6, 0x1b784d30, 0x1b161479, 0x1ab3cb0d, 0x1a517128, 0x19ef0707,
1583   0x198c8ce7, 0x192a0304,
1584   0x18c7699b, 0x1864c0ea, 0x1802092c, 0x179f429f, 0x173c6d80, 0x16d98a0c,
1585   0x1676987f, 0x16139918,
1586   0x15b08c12, 0x154d71aa, 0x14ea4a1f, 0x148715ae, 0x1423d492, 0x13c0870a,
1587   0x135d2d53, 0x12f9c7aa,
1588   0x1296564d, 0x1232d979, 0x11cf516a, 0x116bbe60, 0x11082096, 0x10a4784b,
1589   0x1040c5bb, 0xfdd0926,
1590   0xf7942c7, 0xf1572dc, 0xeb199a4, 0xe4db75b, 0xde9cc40, 0xd85d88f, 0xd21dc87,
1591   0xcbdd865,
1592   0xc59cc68, 0xbf5b8cb, 0xb919dcf, 0xb2d7baf, 0xac952aa, 0xa6522fe, 0xa00ece8,
1593   0x99cb0a7,
1594   0x9386e78, 0x8d42699, 0x86fd947, 0x80b86c2, 0x7a72f45, 0x742d311, 0x6de7262,
1595   0x67a0d76,
1596   0x615a48b, 0x5b137df, 0x54cc7b1, 0x4e8543e, 0x483ddc3, 0x41f6480, 0x3bae8b2,
1597   0x3566a96,
1598   0x2f1ea6c, 0x28d6870, 0x228e4e2, 0x1c45ffe, 0x15fda03, 0xfb5330, 0x96cbc1,
1599   0x3243f5,
1600 };
1601
1602 static const q31_t cos_factorsQ31_2048[2048] = {
1603   0x7fffff62, 0x7ffffa73, 0x7ffff094, 0x7fffe1c6, 0x7fffce09, 0x7fffb55c,
1604   0x7fff97c1, 0x7fff7536,
1605   0x7fff4dbb, 0x7fff2151, 0x7ffeeff8, 0x7ffeb9b0, 0x7ffe7e79, 0x7ffe3e52,
1606   0x7ffdf93c, 0x7ffdaf37,
1607   0x7ffd6042, 0x7ffd0c5f, 0x7ffcb38c, 0x7ffc55ca, 0x7ffbf319, 0x7ffb8b78,
1608   0x7ffb1ee9, 0x7ffaad6a,
1609   0x7ffa36fc, 0x7ff9bba0, 0x7ff93b54, 0x7ff8b619, 0x7ff82bef, 0x7ff79cd6,
1610   0x7ff708ce, 0x7ff66fd7,
1611   0x7ff5d1f1, 0x7ff52f1d, 0x7ff48759, 0x7ff3daa6, 0x7ff32905, 0x7ff27275,
1612   0x7ff1b6f6, 0x7ff0f688,
1613   0x7ff0312c, 0x7fef66e1, 0x7fee97a7, 0x7fedc37e, 0x7fecea67, 0x7fec0c62,
1614   0x7feb296d, 0x7fea418b,
1615   0x7fe954ba, 0x7fe862fa, 0x7fe76c4c, 0x7fe670b0, 0x7fe57025, 0x7fe46aac,
1616   0x7fe36045, 0x7fe250ef,
1617   0x7fe13cac, 0x7fe0237a, 0x7fdf055a, 0x7fdde24d, 0x7fdcba51, 0x7fdb8d67,
1618   0x7fda5b8f, 0x7fd924ca,
1619   0x7fd7e917, 0x7fd6a875, 0x7fd562e7, 0x7fd4186a, 0x7fd2c900, 0x7fd174a8,
1620   0x7fd01b63, 0x7fcebd31,
1621   0x7fcd5a11, 0x7fcbf203, 0x7fca8508, 0x7fc91320, 0x7fc79c4b, 0x7fc62089,
1622   0x7fc49fda, 0x7fc31a3d,
1623   0x7fc18fb4, 0x7fc0003e, 0x7fbe6bdb, 0x7fbcd28b, 0x7fbb344e, 0x7fb99125,
1624   0x7fb7e90f, 0x7fb63c0d,
1625   0x7fb48a1e, 0x7fb2d343, 0x7fb1177b, 0x7faf56c7, 0x7fad9127, 0x7fabc69b,
1626   0x7fa9f723, 0x7fa822bf,
1627   0x7fa6496e, 0x7fa46b32, 0x7fa2880b, 0x7fa09ff7, 0x7f9eb2f8, 0x7f9cc10d,
1628   0x7f9aca37, 0x7f98ce76,
1629   0x7f96cdc9, 0x7f94c831, 0x7f92bdad, 0x7f90ae3f, 0x7f8e99e6, 0x7f8c80a1,
1630   0x7f8a6272, 0x7f883f58,
1631   0x7f861753, 0x7f83ea64, 0x7f81b88a, 0x7f7f81c6, 0x7f7d4617, 0x7f7b057e,
1632   0x7f78bffb, 0x7f76758e,
1633   0x7f742637, 0x7f71d1f6, 0x7f6f78cb, 0x7f6d1ab6, 0x7f6ab7b8, 0x7f684fd0,
1634   0x7f65e2ff, 0x7f637144,
1635   0x7f60faa0, 0x7f5e7f13, 0x7f5bfe9d, 0x7f59793e, 0x7f56eef5, 0x7f545fc5,
1636   0x7f51cbab, 0x7f4f32a9,
1637   0x7f4c94be, 0x7f49f1eb, 0x7f474a30, 0x7f449d8c, 0x7f41ec01, 0x7f3f358d,
1638   0x7f3c7a31, 0x7f39b9ee,
1639   0x7f36f4c3, 0x7f342ab1, 0x7f315bb7, 0x7f2e87d6, 0x7f2baf0d, 0x7f28d15d,
1640   0x7f25eec7, 0x7f230749,
1641   0x7f201ae5, 0x7f1d299a, 0x7f1a3368, 0x7f173850, 0x7f143852, 0x7f11336d,
1642   0x7f0e29a3, 0x7f0b1af2,
1643   0x7f08075c, 0x7f04eedf, 0x7f01d17d, 0x7efeaf36, 0x7efb8809, 0x7ef85bf7,
1644   0x7ef52b00, 0x7ef1f524,
1645   0x7eeeba62, 0x7eeb7abc, 0x7ee83632, 0x7ee4ecc3, 0x7ee19e6f, 0x7ede4b38,
1646   0x7edaf31c, 0x7ed7961c,
1647   0x7ed43438, 0x7ed0cd70, 0x7ecd61c5, 0x7ec9f137, 0x7ec67bc5, 0x7ec3016f,
1648   0x7ebf8237, 0x7ebbfe1c,
1649   0x7eb8751e, 0x7eb4e73d, 0x7eb1547a, 0x7eadbcd4, 0x7eaa204c, 0x7ea67ee2,
1650   0x7ea2d896, 0x7e9f2d68,
1651   0x7e9b7d58, 0x7e97c867, 0x7e940e94, 0x7e904fe0, 0x7e8c8c4b, 0x7e88c3d5,
1652   0x7e84f67e, 0x7e812447,
1653   0x7e7d4d2f, 0x7e797136, 0x7e75905d, 0x7e71aaa4, 0x7e6dc00c, 0x7e69d093,
1654   0x7e65dc3b, 0x7e61e303,
1655   0x7e5de4ec, 0x7e59e1f5, 0x7e55da20, 0x7e51cd6c, 0x7e4dbbd9, 0x7e49a567,
1656   0x7e458a17, 0x7e4169e9,
1657   0x7e3d44dd, 0x7e391af3, 0x7e34ec2b, 0x7e30b885, 0x7e2c8002, 0x7e2842a2,
1658   0x7e240064, 0x7e1fb94a,
1659   0x7e1b6d53, 0x7e171c7f, 0x7e12c6ce, 0x7e0e6c42, 0x7e0a0cd9, 0x7e05a894,
1660   0x7e013f74, 0x7dfcd178,
1661   0x7df85ea0, 0x7df3e6ee, 0x7def6a60, 0x7deae8f7, 0x7de662b3, 0x7de1d795,
1662   0x7ddd479d, 0x7dd8b2ca,
1663   0x7dd4191d, 0x7dcf7a96, 0x7dcad736, 0x7dc62efc, 0x7dc181e8, 0x7dbccffc,
1664   0x7db81936, 0x7db35d98,
1665   0x7dae9d21, 0x7da9d7d2, 0x7da50dab, 0x7da03eab, 0x7d9b6ad3, 0x7d969224,
1666   0x7d91b49e, 0x7d8cd240,
1667   0x7d87eb0a, 0x7d82fefe, 0x7d7e0e1c, 0x7d791862, 0x7d741dd2, 0x7d6f1e6c,
1668   0x7d6a1a31, 0x7d65111f,
1669   0x7d600338, 0x7d5af07b, 0x7d55d8e9, 0x7d50bc82, 0x7d4b9b46, 0x7d467536,
1670   0x7d414a51, 0x7d3c1a98,
1671   0x7d36e60b, 0x7d31acaa, 0x7d2c6e76, 0x7d272b6e, 0x7d21e393, 0x7d1c96e5,
1672   0x7d174564, 0x7d11ef11,
1673   0x7d0c93eb, 0x7d0733f3, 0x7d01cf29, 0x7cfc658d, 0x7cf6f720, 0x7cf183e1,
1674   0x7cec0bd1, 0x7ce68ef0,
1675   0x7ce10d3f, 0x7cdb86bd, 0x7cd5fb6a, 0x7cd06b48, 0x7ccad656, 0x7cc53c94,
1676   0x7cbf9e03, 0x7cb9faa2,
1677   0x7cb45272, 0x7caea574, 0x7ca8f3a7, 0x7ca33d0c, 0x7c9d81a3, 0x7c97c16b,
1678   0x7c91fc66, 0x7c8c3294,
1679   0x7c8663f4, 0x7c809088, 0x7c7ab84e, 0x7c74db48, 0x7c6ef976, 0x7c6912d7,
1680   0x7c63276d, 0x7c5d3737,
1681   0x7c574236, 0x7c514869, 0x7c4b49d2, 0x7c45466f, 0x7c3f3e42, 0x7c39314b,
1682   0x7c331f8a, 0x7c2d08ff,
1683   0x7c26edab, 0x7c20cd8d, 0x7c1aa8a6, 0x7c147ef6, 0x7c0e507e, 0x7c081d3d,
1684   0x7c01e534, 0x7bfba863,
1685   0x7bf566cb, 0x7bef206b, 0x7be8d544, 0x7be28556, 0x7bdc30a1, 0x7bd5d726,
1686   0x7bcf78e5, 0x7bc915dd,
1687   0x7bc2ae10, 0x7bbc417e, 0x7bb5d026, 0x7baf5a09, 0x7ba8df28, 0x7ba25f82,
1688   0x7b9bdb18, 0x7b9551ea,
1689   0x7b8ec3f8, 0x7b883143, 0x7b8199ca, 0x7b7afd8f, 0x7b745c91, 0x7b6db6d0,
1690   0x7b670c4d, 0x7b605d09,
1691   0x7b59a902, 0x7b52f03a, 0x7b4c32b1, 0x7b457068, 0x7b3ea95d, 0x7b37dd92,
1692   0x7b310d07, 0x7b2a37bc,
1693   0x7b235db2, 0x7b1c7ee8, 0x7b159b5f, 0x7b0eb318, 0x7b07c612, 0x7b00d44d,
1694   0x7af9ddcb, 0x7af2e28b,
1695   0x7aebe28d, 0x7ae4ddd2, 0x7addd45b, 0x7ad6c626, 0x7acfb336, 0x7ac89b89,
1696   0x7ac17f20, 0x7aba5dfc,
1697   0x7ab3381d, 0x7aac0d82, 0x7aa4de2d, 0x7a9daa1d, 0x7a967153, 0x7a8f33d0,
1698   0x7a87f192, 0x7a80aa9c,
1699   0x7a795eec, 0x7a720e84, 0x7a6ab963, 0x7a635f8a, 0x7a5c00f9, 0x7a549db0,
1700   0x7a4d35b0, 0x7a45c8f9,
1701   0x7a3e578b, 0x7a36e166, 0x7a2f668c, 0x7a27e6fb, 0x7a2062b5, 0x7a18d9b9,
1702   0x7a114c09, 0x7a09b9a4,
1703   0x7a02228a, 0x79fa86bc, 0x79f2e63a, 0x79eb4105, 0x79e3971c, 0x79dbe880,
1704   0x79d43532, 0x79cc7d31,
1705   0x79c4c07e, 0x79bcff19, 0x79b53903, 0x79ad6e3c, 0x79a59ec3, 0x799dca9a,
1706   0x7995f1c1, 0x798e1438,
1707   0x798631ff, 0x797e4b16, 0x79765f7f, 0x796e6f39, 0x79667a44, 0x795e80a1,
1708   0x79568250, 0x794e7f52,
1709   0x794677a6, 0x793e6b4e, 0x79365a49, 0x792e4497, 0x79262a3a, 0x791e0b31,
1710   0x7915e77c, 0x790dbf1d,
1711   0x79059212, 0x78fd605d, 0x78f529fe, 0x78eceef6, 0x78e4af44, 0x78dc6ae8,
1712   0x78d421e4, 0x78cbd437,
1713   0x78c381e2, 0x78bb2ae5, 0x78b2cf41, 0x78aa6ef5, 0x78a20a03, 0x7899a06a,
1714   0x7891322a, 0x7888bf45,
1715   0x788047ba, 0x7877cb89, 0x786f4ab4, 0x7866c53a, 0x785e3b1c, 0x7855ac5a,
1716   0x784d18f4, 0x784480ea,
1717   0x783be43e, 0x783342ef, 0x782a9cfe, 0x7821f26b, 0x78194336, 0x78108f60,
1718   0x7807d6e9, 0x77ff19d1,
1719   0x77f65819, 0x77ed91c0, 0x77e4c6c9, 0x77dbf732, 0x77d322fc, 0x77ca4a27,
1720   0x77c16cb4, 0x77b88aa3,
1721   0x77afa3f5, 0x77a6b8a9, 0x779dc8c0, 0x7794d43b, 0x778bdb19, 0x7782dd5c,
1722   0x7779db03, 0x7770d40f,
1723   0x7767c880, 0x775eb857, 0x7755a394, 0x774c8a36, 0x77436c40, 0x773a49b0,
1724   0x77312287, 0x7727f6c6,
1725   0x771ec66e, 0x7715917d, 0x770c57f5, 0x770319d6, 0x76f9d721, 0x76f08fd5,
1726   0x76e743f4, 0x76ddf37c,
1727   0x76d49e70, 0x76cb44cf, 0x76c1e699, 0x76b883d0, 0x76af1c72, 0x76a5b082,
1728   0x769c3ffe, 0x7692cae8,
1729   0x7689513f, 0x767fd304, 0x76765038, 0x766cc8db, 0x76633ced, 0x7659ac6f,
1730   0x76501760, 0x76467dc2,
1731   0x763cdf94, 0x76333cd8, 0x7629958c, 0x761fe9b3, 0x7616394c, 0x760c8457,
1732   0x7602cad5, 0x75f90cc7,
1733   0x75ef4a2c, 0x75e58305, 0x75dbb753, 0x75d1e715, 0x75c8124d, 0x75be38fa,
1734   0x75b45b1d, 0x75aa78b6,
1735   0x75a091c6, 0x7596a64d, 0x758cb64c, 0x7582c1c2, 0x7578c8b0, 0x756ecb18,
1736   0x7564c8f8, 0x755ac251,
1737   0x7550b725, 0x7546a772, 0x753c933a, 0x75327a7d, 0x75285d3b, 0x751e3b75,
1738   0x7514152b, 0x7509ea5d,
1739   0x74ffbb0d, 0x74f58739, 0x74eb4ee3, 0x74e1120c, 0x74d6d0b2, 0x74cc8ad8,
1740   0x74c2407d, 0x74b7f1a1,
1741   0x74ad9e46, 0x74a3466b, 0x7498ea11, 0x748e8938, 0x748423e0, 0x7479ba0b,
1742   0x746f4bb8, 0x7464d8e8,
1743   0x745a619b, 0x744fe5d2, 0x7445658d, 0x743ae0cc, 0x74305790, 0x7425c9da,
1744   0x741b37a9, 0x7410a0fe,
1745   0x740605d9, 0x73fb663c, 0x73f0c226, 0x73e61997, 0x73db6c91, 0x73d0bb13,
1746   0x73c6051f, 0x73bb4ab3,
1747   0x73b08bd1, 0x73a5c87a, 0x739b00ad, 0x7390346b, 0x738563b5, 0x737a8e8a,
1748   0x736fb4ec, 0x7364d6da,
1749   0x7359f456, 0x734f0d5f, 0x734421f6, 0x7339321b, 0x732e3dcf, 0x73234512,
1750   0x731847e5, 0x730d4648,
1751   0x7302403c, 0x72f735c0, 0x72ec26d6, 0x72e1137d, 0x72d5fbb7, 0x72cadf83,
1752   0x72bfbee3, 0x72b499d6,
1753   0x72a9705c, 0x729e4277, 0x72931027, 0x7287d96c, 0x727c9e47, 0x72715eb8,
1754   0x72661abf, 0x725ad25d,
1755   0x724f8593, 0x72443460, 0x7238dec5, 0x722d84c4, 0x7222265b, 0x7216c38c,
1756   0x720b5c57, 0x71fff0bc,
1757   0x71f480bc, 0x71e90c57, 0x71dd938f, 0x71d21662, 0x71c694d2, 0x71bb0edf,
1758   0x71af848a, 0x71a3f5d2,
1759   0x719862b9, 0x718ccb3f, 0x71812f65, 0x71758f29, 0x7169ea8f, 0x715e4194,
1760   0x7152943b, 0x7146e284,
1761   0x713b2c6e, 0x712f71fb, 0x7123b32b, 0x7117effe, 0x710c2875, 0x71005c90,
1762   0x70f48c50, 0x70e8b7b5,
1763   0x70dcdec0, 0x70d10171, 0x70c51fc8, 0x70b939c7, 0x70ad4f6d, 0x70a160ba,
1764   0x70956db1, 0x70897650,
1765   0x707d7a98, 0x70717a8a, 0x70657626, 0x70596d6d, 0x704d6060, 0x70414efd,
1766   0x70353947, 0x70291f3e,
1767   0x701d00e1, 0x7010de32, 0x7004b731, 0x6ff88bde, 0x6fec5c3b, 0x6fe02846,
1768   0x6fd3f001, 0x6fc7b36d,
1769   0x6fbb728a, 0x6faf2d57, 0x6fa2e3d7, 0x6f969608, 0x6f8a43ed, 0x6f7ded84,
1770   0x6f7192cf, 0x6f6533ce,
1771   0x6f58d082, 0x6f4c68eb, 0x6f3ffd09, 0x6f338cde, 0x6f271868, 0x6f1a9faa,
1772   0x6f0e22a3, 0x6f01a155,
1773   0x6ef51bbe, 0x6ee891e1, 0x6edc03bc, 0x6ecf7152, 0x6ec2daa2, 0x6eb63fad,
1774   0x6ea9a073, 0x6e9cfcf5,
1775   0x6e905534, 0x6e83a92f, 0x6e76f8e7, 0x6e6a445d, 0x6e5d8b91, 0x6e50ce84,
1776   0x6e440d37, 0x6e3747a9,
1777   0x6e2a7ddb, 0x6e1dafce, 0x6e10dd82, 0x6e0406f8, 0x6df72c30, 0x6dea4d2b,
1778   0x6ddd69e9, 0x6dd0826a,
1779   0x6dc396b0, 0x6db6a6ba, 0x6da9b28a, 0x6d9cba1f, 0x6d8fbd7a, 0x6d82bc9d,
1780   0x6d75b786, 0x6d68ae37,
1781   0x6d5ba0b0, 0x6d4e8ef2, 0x6d4178fd, 0x6d345ed1, 0x6d274070, 0x6d1a1dda,
1782   0x6d0cf70f, 0x6cffcc0f,
1783   0x6cf29cdc, 0x6ce56975, 0x6cd831dc, 0x6ccaf610, 0x6cbdb613, 0x6cb071e4,
1784   0x6ca32985, 0x6c95dcf6,
1785   0x6c888c36, 0x6c7b3748, 0x6c6dde2b, 0x6c6080e0, 0x6c531f67, 0x6c45b9c1,
1786   0x6c384fef, 0x6c2ae1f0,
1787   0x6c1d6fc6, 0x6c0ff971, 0x6c027ef1, 0x6bf50047, 0x6be77d74, 0x6bd9f677,
1788   0x6bcc6b53, 0x6bbedc06,
1789   0x6bb14892, 0x6ba3b0f7, 0x6b961536, 0x6b88754f, 0x6b7ad142, 0x6b6d2911,
1790   0x6b5f7cbc, 0x6b51cc42,
1791   0x6b4417a6, 0x6b365ee7, 0x6b28a206, 0x6b1ae103, 0x6b0d1bdf, 0x6aff529a,
1792   0x6af18536, 0x6ae3b3b2,
1793   0x6ad5de0f, 0x6ac8044e, 0x6aba266e, 0x6aac4472, 0x6a9e5e58, 0x6a907423,
1794   0x6a8285d1, 0x6a749365,
1795   0x6a669cdd, 0x6a58a23c, 0x6a4aa381, 0x6a3ca0ad, 0x6a2e99c0, 0x6a208ebb,
1796   0x6a127f9f, 0x6a046c6c,
1797   0x69f65523, 0x69e839c4, 0x69da1a50, 0x69cbf6c7, 0x69bdcf29, 0x69afa378,
1798   0x69a173b5, 0x69933fde,
1799   0x698507f6, 0x6976cbfc, 0x69688bf1, 0x695a47d6, 0x694bffab, 0x693db371,
1800   0x692f6328, 0x69210ed1,
1801   0x6912b66c, 0x690459fb, 0x68f5f97d, 0x68e794f3, 0x68d92c5d, 0x68cabfbd,
1802   0x68bc4f13, 0x68adda5f,
1803   0x689f61a1, 0x6890e4dc, 0x6882640e, 0x6873df38, 0x6865565c, 0x6856c979,
1804   0x68483891, 0x6839a3a4,
1805   0x682b0ab1, 0x681c6dbb, 0x680dccc1, 0x67ff27c4, 0x67f07ec5, 0x67e1d1c4,
1806   0x67d320c1, 0x67c46bbe,
1807   0x67b5b2bb, 0x67a6f5b8, 0x679834b6, 0x67896fb6, 0x677aa6b8, 0x676bd9bd,
1808   0x675d08c4, 0x674e33d0,
1809   0x673f5ae0, 0x67307df5, 0x67219d10, 0x6712b831, 0x6703cf58, 0x66f4e287,
1810   0x66e5f1be, 0x66d6fcfd,
1811   0x66c80445, 0x66b90797, 0x66aa06f3, 0x669b0259, 0x668bf9cb, 0x667ced49,
1812   0x666ddcd3, 0x665ec86b,
1813   0x664fb010, 0x664093c3, 0x66317385, 0x66224f56, 0x66132738, 0x6603fb2a,
1814   0x65f4cb2d, 0x65e59742,
1815   0x65d65f69, 0x65c723a3, 0x65b7e3f1, 0x65a8a052, 0x659958c9, 0x658a0d54,
1816   0x657abdf6, 0x656b6aae,
1817   0x655c137d, 0x654cb863, 0x653d5962, 0x652df679, 0x651e8faa, 0x650f24f5,
1818   0x64ffb65b, 0x64f043dc,
1819   0x64e0cd78, 0x64d15331, 0x64c1d507, 0x64b252fa, 0x64a2cd0c, 0x6493433c,
1820   0x6483b58c, 0x647423fb,
1821   0x64648e8c, 0x6454f53d, 0x64455810, 0x6435b706, 0x6426121e, 0x6416695a,
1822   0x6406bcba, 0x63f70c3f,
1823   0x63e757ea, 0x63d79fba, 0x63c7e3b1, 0x63b823cf, 0x63a86015, 0x63989884,
1824   0x6388cd1b, 0x6378fddc,
1825   0x63692ac7, 0x635953dd, 0x6349791f, 0x63399a8d, 0x6329b827, 0x6319d1ef,
1826   0x6309e7e4, 0x62f9fa09,
1827   0x62ea085c, 0x62da12df, 0x62ca1992, 0x62ba1c77, 0x62aa1b8d, 0x629a16d5,
1828   0x628a0e50, 0x627a01fe,
1829   0x6269f1e1, 0x6259ddf8, 0x6249c645, 0x6239aac7, 0x62298b81, 0x62196871,
1830   0x62094199, 0x61f916f9,
1831   0x61e8e893, 0x61d8b666, 0x61c88074, 0x61b846bc, 0x61a80940, 0x6197c800,
1832   0x618782fd, 0x61773a37,
1833   0x6166edb0, 0x61569d67, 0x6146495d, 0x6135f193, 0x6125960a, 0x611536c2,
1834   0x6104d3bc, 0x60f46cf9,
1835   0x60e40278, 0x60d3943b, 0x60c32243, 0x60b2ac8f, 0x60a23322, 0x6091b5fa,
1836   0x60813519, 0x6070b080,
1837   0x6060282f, 0x604f9c27, 0x603f0c69, 0x602e78f4, 0x601de1ca, 0x600d46ec,
1838   0x5ffca859, 0x5fec0613,
1839   0x5fdb601b, 0x5fcab670, 0x5fba0914, 0x5fa95807, 0x5f98a34a, 0x5f87eade,
1840   0x5f772ec2, 0x5f666ef9,
1841   0x5f55ab82, 0x5f44e45e, 0x5f34198e, 0x5f234b12, 0x5f1278eb, 0x5f01a31a,
1842   0x5ef0c99f, 0x5edfec7b,
1843   0x5ecf0baf, 0x5ebe273b, 0x5ead3f1f, 0x5e9c535e, 0x5e8b63f7, 0x5e7a70ea,
1844   0x5e697a39, 0x5e587fe5,
1845   0x5e4781ed, 0x5e368053, 0x5e257b17, 0x5e147239, 0x5e0365bb, 0x5df2559e,
1846   0x5de141e1, 0x5dd02a85,
1847   0x5dbf0f8c, 0x5dadf0f5, 0x5d9ccec2, 0x5d8ba8f3, 0x5d7a7f88, 0x5d695283,
1848   0x5d5821e4, 0x5d46edac,
1849   0x5d35b5db, 0x5d247a72, 0x5d133b72, 0x5d01f8dc, 0x5cf0b2af, 0x5cdf68ed,
1850   0x5cce1b97, 0x5cbccaac,
1851   0x5cab762f, 0x5c9a1e1e, 0x5c88c27c, 0x5c776348, 0x5c660084, 0x5c549a30,
1852   0x5c43304d, 0x5c31c2db,
1853   0x5c2051db, 0x5c0edd4e, 0x5bfd6534, 0x5bebe98e, 0x5bda6a5d, 0x5bc8e7a2,
1854   0x5bb7615d, 0x5ba5d78e,
1855   0x5b944a37, 0x5b82b958, 0x5b7124f2, 0x5b5f8d06, 0x5b4df193, 0x5b3c529c,
1856   0x5b2ab020, 0x5b190a20,
1857   0x5b07609d, 0x5af5b398, 0x5ae40311, 0x5ad24f09, 0x5ac09781, 0x5aaedc78,
1858   0x5a9d1df1, 0x5a8b5bec,
1859   0x5a799669, 0x5a67cd69, 0x5a5600ec, 0x5a4430f5, 0x5a325d82, 0x5a208695,
1860   0x5a0eac2e, 0x59fcce4f,
1861   0x59eaecf8, 0x59d90829, 0x59c71fe3, 0x59b53427, 0x59a344f6, 0x59915250,
1862   0x597f5c36, 0x596d62a9,
1863   0x595b65aa, 0x59496538, 0x59376155, 0x59255a02, 0x59134f3e, 0x5901410c,
1864   0x58ef2f6b, 0x58dd1a5d,
1865   0x58cb01e1, 0x58b8e5f9, 0x58a6c6a5, 0x5894a3e7, 0x58827dbe, 0x5870542c,
1866   0x585e2730, 0x584bf6cd,
1867   0x5839c302, 0x58278bd1, 0x58155139, 0x5803133c, 0x57f0d1da, 0x57de8d15,
1868   0x57cc44ec, 0x57b9f960,
1869   0x57a7aa73, 0x57955825, 0x57830276, 0x5770a968, 0x575e4cfa, 0x574bed2f,
1870   0x57398a05, 0x5727237f,
1871   0x5714b99d, 0x57024c5f, 0x56efdbc7, 0x56dd67d4, 0x56caf088, 0x56b875e4,
1872   0x56a5f7e7, 0x56937694,
1873   0x5680f1ea, 0x566e69ea, 0x565bde95, 0x56494fec, 0x5636bdef, 0x5624289f,
1874   0x56118ffe, 0x55fef40a,
1875   0x55ec54c6, 0x55d9b232, 0x55c70c4f, 0x55b4631d, 0x55a1b69d, 0x558f06d0,
1876   0x557c53b6, 0x55699d51,
1877   0x5556e3a1, 0x554426a7, 0x55316663, 0x551ea2d6, 0x550bdc01, 0x54f911e5,
1878   0x54e64482, 0x54d373d9,
1879   0x54c09feb, 0x54adc8b8, 0x549aee42, 0x54881089, 0x54752f8d, 0x54624b50,
1880   0x544f63d2, 0x543c7914,
1881   0x54298b17, 0x541699db, 0x5403a561, 0x53f0adaa, 0x53ddb2b6, 0x53cab486,
1882   0x53b7b31c, 0x53a4ae77,
1883   0x5391a699, 0x537e9b82, 0x536b8d33, 0x53587bad, 0x534566f0, 0x53324efd,
1884   0x531f33d5, 0x530c1579,
1885   0x52f8f3e9, 0x52e5cf27, 0x52d2a732, 0x52bf7c0b, 0x52ac4db4, 0x52991c2d,
1886   0x5285e777, 0x5272af92,
1887   0x525f7480, 0x524c3640, 0x5238f4d4, 0x5225b03d, 0x5212687b, 0x51ff1d8f,
1888   0x51ebcf7a, 0x51d87e3c,
1889   0x51c529d7, 0x51b1d24a, 0x519e7797, 0x518b19bf, 0x5177b8c2, 0x516454a0,
1890   0x5150ed5c, 0x513d82f4,
1891   0x512a156b, 0x5116a4c1, 0x510330f7, 0x50efba0d, 0x50dc4005, 0x50c8c2de,
1892   0x50b5429a, 0x50a1bf39,
1893   0x508e38bd, 0x507aaf25, 0x50672273, 0x505392a8, 0x503fffc4, 0x502c69c8,
1894   0x5018d0b4, 0x5005348a,
1895   0x4ff1954b, 0x4fddf2f6, 0x4fca4d8d, 0x4fb6a510, 0x4fa2f981, 0x4f8f4ae0,
1896   0x4f7b992d, 0x4f67e46a,
1897   0x4f542c98, 0x4f4071b6, 0x4f2cb3c7, 0x4f18f2c9, 0x4f052ec0, 0x4ef167aa,
1898   0x4edd9d89, 0x4ec9d05e,
1899   0x4eb60029, 0x4ea22ceb, 0x4e8e56a5, 0x4e7a7d58, 0x4e66a105, 0x4e52c1ab,
1900   0x4e3edf4d, 0x4e2af9ea,
1901   0x4e171184, 0x4e03261b, 0x4def37b0, 0x4ddb4644, 0x4dc751d8, 0x4db35a6c,
1902   0x4d9f6001, 0x4d8b6298,
1903   0x4d776231, 0x4d635ece, 0x4d4f5870, 0x4d3b4f16, 0x4d2742c2, 0x4d133374,
1904   0x4cff212e, 0x4ceb0bf0,
1905   0x4cd6f3bb, 0x4cc2d88f, 0x4caeba6e, 0x4c9a9958, 0x4c86754e, 0x4c724e50,
1906   0x4c5e2460, 0x4c49f77f,
1907   0x4c35c7ac, 0x4c2194e9, 0x4c0d5f37, 0x4bf92697, 0x4be4eb08, 0x4bd0ac8d,
1908   0x4bbc6b25, 0x4ba826d1,
1909   0x4b93df93, 0x4b7f956b, 0x4b6b485a, 0x4b56f861, 0x4b42a580, 0x4b2e4fb8,
1910   0x4b19f70a, 0x4b059b77,
1911   0x4af13d00, 0x4adcdba5, 0x4ac87767, 0x4ab41046, 0x4a9fa645, 0x4a8b3963,
1912   0x4a76c9a2, 0x4a625701,
1913   0x4a4de182, 0x4a396926, 0x4a24edee, 0x4a106fda, 0x49fbeeea, 0x49e76b21,
1914   0x49d2e47e, 0x49be5b02,
1915   0x49a9ceaf, 0x49953f84, 0x4980ad84, 0x496c18ae, 0x49578103, 0x4942e684,
1916   0x492e4933, 0x4919a90f,
1917   0x4905061a, 0x48f06054, 0x48dbb7be, 0x48c70c59, 0x48b25e25, 0x489dad25,
1918   0x4888f957, 0x487442be,
1919   0x485f8959, 0x484acd2a, 0x48360e32, 0x48214c71, 0x480c87e8, 0x47f7c099,
1920   0x47e2f682, 0x47ce29a7,
1921   0x47b95a06, 0x47a487a2, 0x478fb27b, 0x477ada91, 0x4765ffe6, 0x4751227a,
1922   0x473c424e, 0x47275f63,
1923   0x471279ba, 0x46fd9154, 0x46e8a631, 0x46d3b852, 0x46bec7b8, 0x46a9d464,
1924   0x4694de56, 0x467fe590,
1925   0x466aea12, 0x4655ebdd, 0x4640eaf2, 0x462be751, 0x4616e0fc, 0x4601d7f3,
1926   0x45eccc37, 0x45d7bdc9,
1927   0x45c2acaa, 0x45ad98da, 0x4598825a, 0x4583692c, 0x456e4d4f, 0x45592ec6,
1928   0x45440d90, 0x452ee9ae,
1929   0x4519c321, 0x450499eb, 0x44ef6e0b, 0x44da3f83, 0x44c50e53, 0x44afda7d,
1930   0x449aa400, 0x44856adf,
1931   0x44702f19, 0x445af0b0, 0x4445afa4, 0x44306bf6, 0x441b25a8, 0x4405dcb9,
1932   0x43f0912b, 0x43db42fe,
1933   0x43c5f234, 0x43b09ecc, 0x439b48c9, 0x4385f02a, 0x437094f1, 0x435b371f,
1934   0x4345d6b3, 0x433073b0,
1935   0x431b0e15, 0x4305a5e5, 0x42f03b1e, 0x42dacdc3, 0x42c55dd4, 0x42afeb53,
1936   0x429a763f, 0x4284fe99,
1937   0x426f8463, 0x425a079e, 0x42448849, 0x422f0667, 0x421981f7, 0x4203fafb,
1938   0x41ee7174, 0x41d8e561,
1939   0x41c356c5, 0x41adc5a0, 0x419831f3, 0x41829bbe, 0x416d0302, 0x415767c1,
1940   0x4141c9fb, 0x412c29b1,
1941   0x411686e4, 0x4100e194, 0x40eb39c3, 0x40d58f71, 0x40bfe29f, 0x40aa334e,
1942   0x4094817f, 0x407ecd32,
1943   0x40691669, 0x40535d24, 0x403da165, 0x4027e32b, 0x40122278, 0x3ffc5f4d,
1944   0x3fe699aa, 0x3fd0d191,
1945   0x3fbb0702, 0x3fa539fd, 0x3f8f6a85, 0x3f799899, 0x3f63c43b, 0x3f4ded6b,
1946   0x3f38142a, 0x3f22387a,
1947   0x3f0c5a5a, 0x3ef679cc, 0x3ee096d1, 0x3ecab169, 0x3eb4c995, 0x3e9edf57,
1948   0x3e88f2ae, 0x3e73039d,
1949   0x3e5d1222, 0x3e471e41, 0x3e3127f9, 0x3e1b2f4a, 0x3e053437, 0x3def36c0,
1950   0x3dd936e6, 0x3dc334a9,
1951   0x3dad300b, 0x3d97290b, 0x3d811fac, 0x3d6b13ee, 0x3d5505d2, 0x3d3ef559,
1952   0x3d28e282, 0x3d12cd51,
1953   0x3cfcb5c4, 0x3ce69bde, 0x3cd07f9f, 0x3cba6107, 0x3ca44018, 0x3c8e1cd3,
1954   0x3c77f737, 0x3c61cf48,
1955   0x3c4ba504, 0x3c35786d, 0x3c1f4983, 0x3c091849, 0x3bf2e4be, 0x3bdcaee3,
1956   0x3bc676b9, 0x3bb03c42,
1957   0x3b99ff7d, 0x3b83c06c, 0x3b6d7f10, 0x3b573b69, 0x3b40f579, 0x3b2aad3f,
1958   0x3b1462be, 0x3afe15f6,
1959   0x3ae7c6e7, 0x3ad17593, 0x3abb21fb, 0x3aa4cc1e, 0x3a8e7400, 0x3a78199f,
1960   0x3a61bcfd, 0x3a4b5e1b,
1961   0x3a34fcf9, 0x3a1e9999, 0x3a0833fc, 0x39f1cc21, 0x39db620b, 0x39c4f5ba,
1962   0x39ae872f, 0x3998166a,
1963   0x3981a36d, 0x396b2e38, 0x3954b6cd, 0x393e3d2c, 0x3927c155, 0x3911434b,
1964   0x38fac30e, 0x38e4409e,
1965   0x38cdbbfc, 0x38b7352a, 0x38a0ac29, 0x388a20f8, 0x38739399, 0x385d040d,
1966   0x38467255, 0x382fde72,
1967   0x38194864, 0x3802b02c, 0x37ec15cb, 0x37d57943, 0x37beda93, 0x37a839be,
1968   0x379196c3, 0x377af1a3,
1969   0x37644a60, 0x374da0fa, 0x3736f573, 0x372047ca, 0x37099802, 0x36f2e61a,
1970   0x36dc3214, 0x36c57bf0,
1971   0x36aec3b0, 0x36980954, 0x36814cde, 0x366a8e4d, 0x3653cda3, 0x363d0ae2,
1972   0x36264609, 0x360f7f19,
1973   0x35f8b614, 0x35e1eafa, 0x35cb1dcc, 0x35b44e8c, 0x359d7d39, 0x3586a9d5,
1974   0x356fd461, 0x3558fcde,
1975   0x3542234c, 0x352b47ad, 0x35146a00, 0x34fd8a48, 0x34e6a885, 0x34cfc4b7,
1976   0x34b8dee1, 0x34a1f702,
1977   0x348b0d1c, 0x3474212f, 0x345d333c, 0x34464345, 0x342f5149, 0x34185d4b,
1978   0x3401674a, 0x33ea6f48,
1979   0x33d37546, 0x33bc7944, 0x33a57b44, 0x338e7b46, 0x3377794b, 0x33607554,
1980   0x33496f62, 0x33326776,
1981   0x331b5d91, 0x330451b3, 0x32ed43de, 0x32d63412, 0x32bf2250, 0x32a80e99,
1982   0x3290f8ef, 0x3279e151,
1983   0x3262c7c1, 0x324bac40, 0x32348ecf, 0x321d6f6e, 0x32064e1e, 0x31ef2ae1,
1984   0x31d805b7, 0x31c0dea1,
1985   0x31a9b5a0, 0x31928ab4, 0x317b5de0, 0x31642f23, 0x314cfe7f, 0x3135cbf4,
1986   0x311e9783, 0x3107612e,
1987   0x30f028f4, 0x30d8eed8, 0x30c1b2da, 0x30aa74fa, 0x3093353a, 0x307bf39b,
1988   0x3064b01d, 0x304d6ac1,
1989   0x30362389, 0x301eda75, 0x30078f86, 0x2ff042bd, 0x2fd8f41b, 0x2fc1a3a0,
1990   0x2faa514f, 0x2f92fd26,
1991   0x2f7ba729, 0x2f644f56, 0x2f4cf5b0, 0x2f359a37, 0x2f1e3ced, 0x2f06ddd1,
1992   0x2eef7ce5, 0x2ed81a29,
1993   0x2ec0b5a0, 0x2ea94f49, 0x2e91e725, 0x2e7a7d36, 0x2e63117c, 0x2e4ba3f8,
1994   0x2e3434ac, 0x2e1cc397,
1995   0x2e0550bb, 0x2deddc19, 0x2dd665b2, 0x2dbeed86, 0x2da77397, 0x2d8ff7e5,
1996   0x2d787a72, 0x2d60fb3e,
1997   0x2d497a4a, 0x2d31f797, 0x2d1a7325, 0x2d02ecf7, 0x2ceb650d, 0x2cd3db67,
1998   0x2cbc5006, 0x2ca4c2ed,
1999   0x2c8d341a, 0x2c75a390, 0x2c5e114f, 0x2c467d58, 0x2c2ee7ad, 0x2c17504d,
2000   0x2bffb73a, 0x2be81c74,
2001   0x2bd07ffe, 0x2bb8e1d7, 0x2ba14200, 0x2b89a07b, 0x2b71fd48, 0x2b5a5868,
2002   0x2b42b1dd, 0x2b2b09a6,
2003   0x2b135fc6, 0x2afbb43c, 0x2ae4070a, 0x2acc5831, 0x2ab4a7b1, 0x2a9cf58c,
2004   0x2a8541c3, 0x2a6d8c55,
2005   0x2a55d545, 0x2a3e1c93, 0x2a266240, 0x2a0ea64d, 0x29f6e8bb, 0x29df298b,
2006   0x29c768be, 0x29afa654,
2007   0x2997e24f, 0x29801caf, 0x29685576, 0x29508ca4, 0x2938c23a, 0x2920f63a,
2008   0x290928a3, 0x28f15978,
2009   0x28d988b8, 0x28c1b666, 0x28a9e281, 0x28920d0a, 0x287a3604, 0x28625d6d,
2010   0x284a8349, 0x2832a796,
2011   0x281aca57, 0x2802eb8c, 0x27eb0b36, 0x27d32956, 0x27bb45ed, 0x27a360fc,
2012   0x278b7a84, 0x27739285,
2013   0x275ba901, 0x2743bdf9, 0x272bd16d, 0x2713e35f, 0x26fbf3ce, 0x26e402bd,
2014   0x26cc102d, 0x26b41c1d,
2015   0x269c268f, 0x26842f84, 0x266c36fe, 0x26543cfb, 0x263c417f, 0x26244489,
2016   0x260c461b, 0x25f44635,
2017   0x25dc44d9, 0x25c44207, 0x25ac3dc0, 0x25943806, 0x257c30d8, 0x25642839,
2018   0x254c1e28, 0x253412a8,
2019   0x251c05b8, 0x2503f75a, 0x24ebe78f, 0x24d3d657, 0x24bbc3b4, 0x24a3afa6,
2020   0x248b9a2f, 0x2473834f,
2021   0x245b6b07, 0x24435158, 0x242b3644, 0x241319ca, 0x23fafbec, 0x23e2dcac,
2022   0x23cabc09, 0x23b29a05,
2023   0x239a76a0, 0x238251dd, 0x236a2bba, 0x2352043b, 0x2339db5e, 0x2321b126,
2024   0x23098593, 0x22f158a7,
2025   0x22d92a61, 0x22c0fac4, 0x22a8c9cf, 0x22909785, 0x227863e5, 0x22602ef1,
2026   0x2247f8aa, 0x222fc111,
2027   0x22178826, 0x21ff4dea, 0x21e71260, 0x21ced586, 0x21b6975f, 0x219e57eb,
2028   0x2186172b, 0x216dd521,
2029   0x215591cc, 0x213d4d2f, 0x21250749, 0x210cc01d, 0x20f477aa, 0x20dc2df2,
2030   0x20c3e2f5, 0x20ab96b5,
2031   0x20934933, 0x207afa6f, 0x2062aa6b, 0x204a5927, 0x203206a4, 0x2019b2e4,
2032   0x20015de7, 0x1fe907ae,
2033   0x1fd0b03a, 0x1fb8578b, 0x1f9ffda4, 0x1f87a285, 0x1f6f462f, 0x1f56e8a2,
2034   0x1f3e89e0, 0x1f2629ea,
2035   0x1f0dc8c0, 0x1ef56664, 0x1edd02d6, 0x1ec49e17, 0x1eac3829, 0x1e93d10c,
2036   0x1e7b68c2, 0x1e62ff4a,
2037   0x1e4a94a7, 0x1e3228d9, 0x1e19bbe0, 0x1e014dbf, 0x1de8de75, 0x1dd06e04,
2038   0x1db7fc6d, 0x1d9f89b1,
2039   0x1d8715d0, 0x1d6ea0cc, 0x1d562aa6, 0x1d3db35e, 0x1d253af5, 0x1d0cc16c,
2040   0x1cf446c5, 0x1cdbcb00,
2041   0x1cc34e1f, 0x1caad021, 0x1c925109, 0x1c79d0d6, 0x1c614f8b, 0x1c48cd27,
2042   0x1c3049ac, 0x1c17c51b,
2043   0x1bff3f75, 0x1be6b8ba, 0x1bce30ec, 0x1bb5a80c, 0x1b9d1e1a, 0x1b849317,
2044   0x1b6c0705, 0x1b5379e5,
2045   0x1b3aebb6, 0x1b225c7b, 0x1b09cc34, 0x1af13ae3, 0x1ad8a887, 0x1ac01522,
2046   0x1aa780b6, 0x1a8eeb42,
2047   0x1a7654c8, 0x1a5dbd49, 0x1a4524c6, 0x1a2c8b3f, 0x1a13f0b6, 0x19fb552c,
2048   0x19e2b8a2, 0x19ca1b17,
2049   0x19b17c8f, 0x1998dd09, 0x19803c86, 0x19679b07, 0x194ef88e, 0x1936551b,
2050   0x191db0af, 0x19050b4b,
2051   0x18ec64f0, 0x18d3bda0, 0x18bb155a, 0x18a26c20, 0x1889c1f3, 0x187116d4,
2052   0x18586ac3, 0x183fbdc3,
2053   0x18270fd3, 0x180e60f4, 0x17f5b129, 0x17dd0070, 0x17c44ecd, 0x17ab9c3e,
2054   0x1792e8c6, 0x177a3466,
2055   0x17617f1d, 0x1748c8ee, 0x173011d9, 0x171759df, 0x16fea102, 0x16e5e741,
2056   0x16cd2c9f, 0x16b4711b,
2057   0x169bb4b7, 0x1682f774, 0x166a3953, 0x16517a55, 0x1638ba7a, 0x161ff9c4,
2058   0x16073834, 0x15ee75cb,
2059   0x15d5b288, 0x15bcee6f, 0x15a4297f, 0x158b63b9, 0x15729d1f, 0x1559d5b1,
2060   0x15410d70, 0x1528445d,
2061   0x150f7a7a, 0x14f6afc7, 0x14dde445, 0x14c517f4, 0x14ac4ad7, 0x14937cee,
2062   0x147aae3a, 0x1461debc,
2063   0x14490e74, 0x14303d65, 0x14176b8e, 0x13fe98f1, 0x13e5c58e, 0x13ccf167,
2064   0x13b41c7d, 0x139b46d0,
2065   0x13827062, 0x13699933, 0x1350c144, 0x1337e897, 0x131f0f2c, 0x13063505,
2066   0x12ed5a21, 0x12d47e83,
2067   0x12bba22b, 0x12a2c51b, 0x1289e752, 0x127108d2, 0x1258299c, 0x123f49b2,
2068   0x12266913, 0x120d87c1,
2069   0x11f4a5bd, 0x11dbc307, 0x11c2dfa2, 0x11a9fb8d, 0x119116c9, 0x11783159,
2070   0x115f4b3c, 0x11466473,
2071   0x112d7d00, 0x111494e4, 0x10fbac1e, 0x10e2c2b2, 0x10c9d89e, 0x10b0ede5,
2072   0x10980287, 0x107f1686,
2073   0x106629e1, 0x104d3c9b, 0x10344eb4, 0x101b602d, 0x10027107, 0xfe98143,
2074   0xfd090e1, 0xfb79fe4,
2075   0xf9eae4c, 0xf85bc19, 0xf6cc94e, 0xf53d5ea, 0xf3ae1ee, 0xf21ed5d, 0xf08f836,
2076   0xef0027b,
2077   0xed70c2c, 0xebe154b, 0xea51dd8, 0xe8c25d5, 0xe732d42, 0xe5a3421, 0xe413a72,
2078   0xe284036,
2079   0xe0f456f, 0xdf64a1c, 0xddd4e40, 0xdc451dc, 0xdab54ef, 0xd92577b, 0xd795982,
2080   0xd605b03,
2081   0xd475c00, 0xd2e5c7b, 0xd155c73, 0xcfc5bea, 0xce35ae1, 0xcca5959, 0xcb15752,
2082   0xc9854cf,
2083   0xc7f51cf, 0xc664e53, 0xc4d4a5d, 0xc3445ee, 0xc1b4107, 0xc023ba7, 0xbe935d2,
2084   0xbd02f87,
2085   0xbb728c7, 0xb9e2193, 0xb8519ed, 0xb6c11d5, 0xb53094d, 0xb3a0055, 0xb20f6ee,
2086   0xb07ed19,
2087   0xaeee2d7, 0xad5d829, 0xabccd11, 0xaa3c18e, 0xa8ab5a2, 0xa71a94f, 0xa589c94,
2088   0xa3f8f73,
2089   0xa2681ed, 0xa0d7403, 0x9f465b5, 0x9db5706, 0x9c247f5, 0x9a93884, 0x99028b3,
2090   0x9771884,
2091   0x95e07f8, 0x944f70f, 0x92be5ca, 0x912d42c, 0x8f9c233, 0x8e0afe2, 0x8c79d3a,
2092   0x8ae8a3a,
2093   0x89576e5, 0x87c633c, 0x8634f3e, 0x84a3aee, 0x831264c, 0x8181159, 0x7fefc16,
2094   0x7e5e685,
2095   0x7ccd0a5, 0x7b3ba78, 0x79aa400, 0x7818d3c, 0x768762e, 0x74f5ed7, 0x7364738,
2096   0x71d2f52,
2097   0x7041726, 0x6eafeb4, 0x6d1e5fe, 0x6b8cd05, 0x69fb3c9, 0x6869a4c, 0x66d808f,
2098   0x6546692,
2099   0x63b4c57, 0x62231de, 0x6091729, 0x5effc38, 0x5d6e10c, 0x5bdc5a7, 0x5a4aa09,
2100   0x58b8e34,
2101   0x5727228, 0x55955e6, 0x540396f, 0x5271cc4, 0x50dffe7, 0x4f4e2d8, 0x4dbc597,
2102   0x4c2a827,
2103   0x4a98a88, 0x4906cbb, 0x4774ec1, 0x45e309a, 0x4451249, 0x42bf3cd, 0x412d528,
2104   0x3f9b65b,
2105   0x3e09767, 0x3c7784d, 0x3ae590d, 0x39539a9, 0x37c1a22, 0x362fa78, 0x349daac,
2106   0x330bac1,
2107   0x3179ab5, 0x2fe7a8c, 0x2e55a44, 0x2cc39e1, 0x2b31961, 0x299f8c7, 0x280d813,
2108   0x267b747,
2109   0x24e9662, 0x2357567, 0x21c5457, 0x2033331, 0x1ea11f7, 0x1d0f0ab, 0x1b7cf4d,
2110   0x19eaddd,
2111   0x1858c5e, 0x16c6ad0, 0x1534934, 0x13a278a, 0x12105d5, 0x107e414, 0xeec249,
2112   0xd5a075,
2113   0xbc7e99, 0xa35cb5, 0x8a3acb, 0x7118dc, 0x57f6e9, 0x3ed4f2, 0x25b2f8,
2114   0xc90fe,
2115
2116 };
2117
2118 /**
2119  * @brief  Initialization function for the Q31 DCT4/IDCT4.
2120  * @param[in,out] *S         points to an instance of Q31 DCT4/IDCT4 structure.
2121  * @param[in]     *S_RFFT    points to an instance of Q31 RFFT/RIFFT structure
2122  * @param[in]     *S_CFFT    points to an instance of Q31 CFFT/CIFFT structure
2123  * @param[in]     N          length of the DCT4.
2124  * @param[in]     Nby2       half of the length of the DCT4.
2125  * @param[in]     normalize  normalizing factor.
2126  * @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.
2127  * \par Normalizing factor:
2128  * The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>.
2129  * Normalizing factors in 1.31 format are mentioned in the table below for different DCT sizes:
2130  * \image html dct4NormalizingQ31Table.gif
2131  */
2132
2133 arm_status arm_dct4_init_q31(
2134   arm_dct4_instance_q31 * S,
2135   arm_rfft_instance_q31 * S_RFFT,
2136   arm_cfft_radix4_instance_q31 * S_CFFT,
2137   uint16_t N,
2138   uint16_t Nby2,
2139   q31_t normalize)
2140 {
2141   /*  Initialise the default arm status */
2142   arm_status status = ARM_MATH_SUCCESS;
2143
2144   /* Initializing the pointer array with the weight table base addresses of different lengths */
2145   q31_t *twiddlePtr[3] = { (q31_t *) WeightsQ31_128, (q31_t *) WeightsQ31_512,
2146     (q31_t *) WeightsQ31_2048
2147   };
2148
2149   /* Initializing the pointer array with the cos factor table base addresses of different lengths */
2150   q31_t *pCosFactor[3] =
2151     { (q31_t *) cos_factorsQ31_128, (q31_t *) cos_factorsQ31_512,
2152     (q31_t *) cos_factorsQ31_2048
2153   };
2154
2155   /* Initialize the DCT4 length */
2156   S->N = N;
2157
2158   /* Initialize the half of DCT4 length */
2159   S->Nby2 = Nby2;
2160
2161   /* Initialize the DCT4 Normalizing factor */
2162   S->normalize = normalize;
2163
2164   /* Initialize Real FFT Instance */
2165   S->pRfft = S_RFFT;
2166
2167   /* Initialize Complex FFT Instance */
2168   S->pCfft = S_CFFT;
2169
2170   switch (N)
2171   {
2172     /* Initialize the table modifier values */
2173   case 2048u:
2174     S->pTwiddle = twiddlePtr[2];
2175     S->pCosFactor = pCosFactor[2];
2176     break;
2177   case 512u:
2178     S->pTwiddle = twiddlePtr[1];
2179     S->pCosFactor = pCosFactor[1];
2180     break;
2181   case 128u:
2182     S->pTwiddle = twiddlePtr[0];
2183     S->pCosFactor = pCosFactor[0];
2184     break;
2185   default:
2186     status = ARM_MATH_ARGUMENT_ERROR;
2187   }
2188
2189   /* Initialize the RFFT/RIFFT Function */
2190   arm_rfft_init_q31(S->pRfft, S->pCfft, S->N, 0, 1);
2191
2192   /* return the status of DCT4 Init function */
2193   return (status);
2194 }
2195
2196 /**
2197    * @} end of DCT4_IDCT4 group
2198    */