bn1024math.c

/* -----------------------------------------------------------------------------
 *
 * Copyright (c) 2014-2019 Alexis Naveros.
 *
 * This software is provided 'as-is', without any express or implied
 * warranty. In no event will the authors be held liable for any damages
 * arising from the use of this software.
 *
 * Permission is granted to anyone to use this software for any purpose,
 * including commercial applications, and to alter it and redistribute it
 * freely, subject to the following restrictions:
 *
 * 1. The origin of this software must not be misrepresented; you must not
 * claim that you wrote the original software. If you use this software
 * in a product, an acknowledgment in the product documentation would be
 * appreciated but is not required.
 * 2. Altered source versions must be plainly marked as such, and must not be
 * misrepresented as being the original software.
 * 3. This notice may not be removed or altered from any source distribution.
 *
 * -----------------------------------------------------------------------------
 */

#include <stdio.h>
#include <stdlib.h>
#include <stddef.h>
#include <stdint.h>
#include <string.h>
#include <math.h>
#include <limits.h>
#include <float.h>
#include <time.h>
#include <stdarg.h>
#include <errno.h>
#include <assert.h>

#include <sys/types.h>
#include <sys/stat.h>
#include <unistd.h>

#include "cpuconfig.h"
#include "cc.h"
#include "ccstr.h"
#include "mm.h"

#define BN_XP_SUPPORT_128 0
#define BN_XP_SUPPORT_192 0
#define BN_XP_SUPPORT_256 0
#define BN_XP_SUPPORT_512 1
#define BN_XP_SUPPORT_1024 1
#include "bn.h"


////


#define BN1024_LOG2_SHIFT (1024)
#define BN1024_LOG1P0625_SHIFT (1024)
#define BN1024_MUL1P0625_SHIFT (1024-1)
#define BN1024_DIV1P0625_SHIFT (1024)
#define BN1024_EXP1_SHIFT (1024-2)
#define BN1024_EXP1INV_SHIFT (1024)
#define BN1024_EXP0P125_SHIFT (1024-1)
#define BN1024_DIV_SHIFT (1024-1)
#define BN1024_PI_SHIFT (1024-2)

#define BN1024_DIV_TABLE_SIZE (256)

#define BN1024_USE_INVERSE_DIVISION


#if BN_UNIT_BITS == 64

const bn1024 bn1024InfPos = 
{
 .unit = { 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0x7fffffffffffffff }
};

const bn1024 bn1024InfNeg = 
{
 .unit = { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x8000000000000000 }
};

const bn1024 bn1024Log2 = 
{
 .unit = { 0xda2d97c50f3fcdba, 0x655fa1872f20e3a2, 0xf5dfa6bd38303248, 0x72ce87b19d6548ca, 0x256fa0ec7657f74b, 0xb9ea9bc3b136603b, 0x1acbda11317c387e, 0x3e96ca16224ae8c5, 0x27573b291169b825, 0xed2eae35c1382144, 0x559552fb4afa1b10, 0xe7b876206debac98, 0x8a0d175b8baafa2b, 0x40f343267298b62d, 0xc9e3b39803f2f6af, 0xb17217f7d1cf79ab }
};

const bn1024 bn1024Log1p0625 = 
{
 .unit = { 0xf85fcf25a5d9c02b, 0x0fea5d7bb857a365, 0x3c5c1d2c99f1c7fc, 0x8f93e053980ce36e, 0xd2692bbceee9d358, 0xcce585dd73d21d72, 0xe0f5584423c4de58, 0x68fdf95d5f36b22c, 0x9bc3578977e6bc16, 0x99f0cc1de7a9459e, 0x908722d985badcca, 0x6172da6bde861006, 0x71851f0a96f69849, 0xd3474d3375b52596, 0xbe64b8b775997898, 0x0f85186008b15330 }
};

const bn1024 bn1024Mul1p0625 = 
{
 .unit = { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x8800000000000000 }
};

const bn1024 bn1024Div1p0625 = 
{
 .unit = { 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0, 0xf0f0f0f0f0f0f0f0 }
};

const bn1024 bn1024Exp1 = 
{
 .unit = { 0xbc0ab182b324f9c2, 0x30acca4f483a797a, 0x1df158a136ade735, 0xe2a689daf3efe872, 0x984f0c70e0e68b77, 0xb557135e7f57c935, 0x856365553ded1af3, 0x2433f51f5f066ed0, 0xd3df1ed5d5fd6561, 0xf681b202aec4617a, 0x7d2fe363630c75d8, 0xcc939dce249b3ef9, 0xa9e13641146433fb, 0xd8b9c583ce2d3695, 0xafdc5620273d3cf1, 0xadf85458a2bb4a9a }
};

const bn1024 bn1024Exp1Inv = 
{
 .unit = { 0xa3be55cd31b777ee, 0xd6dd9188d1c956a5, 0x7dd5c1b8d90c4ef7, 0x67a81bea3764ed4f, 0xcd2ade4e58d11243, 0xc087c3f3fe444626, 0xd925fdbd580cf14d, 0xc0ec2b3bdbaa9270, 0x29f03c6276dcaa58, 0x5aea5550968dc392, 0xb8245b669d90d27a, 0xb16400bf472b4215, 0x3024b9d0a507daed, 0xda9805aab56c7733, 0xbadec7829054f90d, 0x5e2d58d8b3bcdf1a }
};

const bn1024 bn1024Exp0p125 = 
{
 .unit = { 0x6b910290fca37b4c, 0xe725e5cff941c428, 0x9bb7089d492ae8ec, 0xa87b83f27f8d4e68, 0xe0fca75c43d3e4f4, 0xea6f9d2153588b0c, 0x3d723db7f88e5662, 0x73ae406c15b27cdd, 0x0a584fe312b5ae61, 0x178072e9ef3e2399, 0x4ef191442ce1e182, 0xbc3b803a3a8af5bb, 0xbbb5b0f28118966c, 0x3c5f864254ab82be, 0x76b441c27035c6a1, 0x910b022db7ae67ce }
};

const bn1024 bn1024Pi = 
{
 .unit = { 0x98da48361c55d1fc, 0xc2007cb8a163bf05, 0x49286651ece45b3d, 0xae9f24117c4b1fe6, 0xee386bfb5a899fa5, 0x0bff5cb6f406b7ed, 0xf44c42e9a637ed6b, 0xe485b576625e7ec6, 0x4fe1356d6d51c245, 0x302b0a6df25f1437, 0xef9519b3cd3a431b, 0x514a08798e3404dd, 0x020bbea63b139b22, 0x29024e088a67cc74, 0xc4c6628b80dc1cd1, 0xc90fdaa22168c234 }
};

const bn1024 bn1024DivFactor[BN1024_DIV_TABLE_SIZE] = 
{
  [0] = { .unit = { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 } },
  [1] = { .unit = { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 } },
  [2] = { .unit = { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x4000000000000000 } },
  [3] = { .unit = { 0xaaaaaaaaaaaaaaab, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0x2aaaaaaaaaaaaaaa } },
  [4] = { .unit = { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x2000000000000000 } },
  [5] = { .unit = { 0x999999999999999a, 0x9999999999999999, 0x9999999999999999, 0x9999999999999999, 0x9999999999999999, 0x9999999999999999, 0x9999999999999999, 0x9999999999999999, 0x9999999999999999, 0x9999999999999999, 0x9999999999999999, 0x9999999999999999, 0x9999999999999999, 0x9999999999999999, 0x9999999999999999, 0x1999999999999999 } },
  [6] = { .unit = { 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x1555555555555555 } },
  [7] = { .unit = { 0x9249249249249249, 0x4924924924924924, 0x2492492492492492, 0x9249249249249249, 0x4924924924924924, 0x2492492492492492, 0x9249249249249249, 0x4924924924924924, 0x2492492492492492, 0x9249249249249249, 0x4924924924924924, 0x2492492492492492, 0x9249249249249249, 0x4924924924924924, 0x2492492492492492, 0x1249249249249249 } },
  [8] = { .unit = { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x1000000000000000 } },
  [9] = { .unit = { 0x8e38e38e38e38e39, 0x38e38e38e38e38e3, 0xe38e38e38e38e38e, 0x8e38e38e38e38e38, 0x38e38e38e38e38e3, 0xe38e38e38e38e38e, 0x8e38e38e38e38e38, 0x38e38e38e38e38e3, 0xe38e38e38e38e38e, 0x8e38e38e38e38e38, 0x38e38e38e38e38e3, 0xe38e38e38e38e38e, 0x8e38e38e38e38e38, 0x38e38e38e38e38e3, 0xe38e38e38e38e38e, 0x0e38e38e38e38e38 } },
  [10] = { .unit = { 0xcccccccccccccccd, 0xcccccccccccccccc, 0xcccccccccccccccc, 0xcccccccccccccccc, 0xcccccccccccccccc, 0xcccccccccccccccc, 0xcccccccccccccccc, 0xcccccccccccccccc, 0xcccccccccccccccc, 0xcccccccccccccccc, 0xcccccccccccccccc, 0xcccccccccccccccc, 0xcccccccccccccccc, 0xcccccccccccccccc, 0xcccccccccccccccc, 0x0ccccccccccccccc } },
  [11] = { .unit = { 0x8ba2e8ba2e8ba2e9, 0xe8ba2e8ba2e8ba2e, 0x2e8ba2e8ba2e8ba2, 0xa2e8ba2e8ba2e8ba, 0xba2e8ba2e8ba2e8b, 0x8ba2e8ba2e8ba2e8, 0xe8ba2e8ba2e8ba2e, 0x2e8ba2e8ba2e8ba2, 0xa2e8ba2e8ba2e8ba, 0xba2e8ba2e8ba2e8b, 0x8ba2e8ba2e8ba2e8, 0xe8ba2e8ba2e8ba2e, 0x2e8ba2e8ba2e8ba2, 0xa2e8ba2e8ba2e8ba, 0xba2e8ba2e8ba2e8b, 0x0ba2e8ba2e8ba2e8 } },
  [12] = { .unit = { 0xaaaaaaaaaaaaaaab, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0xaaaaaaaaaaaaaaaa, 0x0aaaaaaaaaaaaaaa } },
  [13] = { .unit = { 0x89d89d89d89d89d9, 0xd89d89d89d89d89d, 0x9d89d89d89d89d89, 0x89d89d89d89d89d8, 0xd89d89d89d89d89d, 0x9d89d89d89d89d89, 0x89d89d89d89d89d8, 0xd89d89d89d89d89d, 0x9d89d89d89d89d89, 0x89d89d89d89d89d8, 0xd89d89d89d89d89d, 0x9d89d89d89d89d89, 0x89d89d89d89d89d8, 0xd89d89d89d89d89d, 0x9d89d89d89d89d89, 0x09d89d89d89d89d8 } },
  [14] = { .unit = { 0x4924924924924925, 0x2492492492492492, 0x9249249249249249, 0x4924924924924924, 0x2492492492492492, 0x9249249249249249, 0x4924924924924924, 0x2492492492492492, 0x9249249249249249, 0x4924924924924924, 0x2492492492492492, 0x9249249249249249, 0x4924924924924924, 0x2492492492492492, 0x9249249249249249, 0x0924924924924924 } },
  [15] = { .unit = { 0x8888888888888889, 0x8888888888888888, 0x8888888888888888, 0x8888888888888888, 0x8888888888888888, 0x8888888888888888, 0x8888888888888888, 0x8888888888888888, 0x8888888888888888, 0x8888888888888888, 0x8888888888888888, 0x8888888888888888, 0x8888888888888888, 0x8888888888888888, 0x8888888888888888, 0x0888888888888888 } },
  [16] = { .unit = { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0800000000000000 } },
  [17] = { .unit = { 0x8787878787878788, 0x8787878787878787, 0x8787878787878787, 0x8787878787878787, 0x8787878787878787, 0x8787878787878787, 0x8787878787878787, 0x8787878787878787, 0x8787878787878787, 0x8787878787878787, 0x8787878787878787, 0x8787878787878787, 0x8787878787878787, 0x8787878787878787, 0x8787878787878787, 0x0787878787878787 } },
  [18] = { .unit = { 0xc71c71c71c71c71c, 0x1c71c71c71c71c71, 0x71c71c71c71c71c7, 0xc71c71c71c71c71c, 0x1c71c71c71c71c71, 0x71c71c71c71c71c7, 0xc71c71c71c71c71c, 0x1c71c71c71c71c71, 0x71c71c71c71c71c7, 0xc71c71c71c71c71c, 0x1c71c71c71c71c71, 0x71c71c71c71c71c7, 0xc71c71c71c71c71c, 0x1c71c71c71c71c71, 0x71c71c71c71c71c7, 0x071c71c71c71c71c } },
  [19] = { .unit = { 0xaf286bca1af286bd, 0x286bca1af286bca1, 0x6bca1af286bca1af, 0xca1af286bca1af28, 0x1af286bca1af286b, 0xf286bca1af286bca, 0x86bca1af286bca1a, 0xbca1af286bca1af2, 0xa1af286bca1af286, 0xaf286bca1af286bc, 0x286bca1af286bca1, 0x6bca1af286bca1af, 0xca1af286bca1af28, 0x1af286bca1af286b, 0xf286bca1af286bca, 0x06bca1af286bca1a } },
  [20] = { .unit = { 0x6666666666666666, 0x6666666666666666, 0x6666666666666666, 0x6666666666666666, 0x6666666666666666, 0x6666666666666666, 0x6666666666666666, 0x6666666666666666, 0x6666666666666666, 0x6666666666666666, 0x6666666666666666, 0x6666666666666666, 0x6666666666666666, 0x6666666666666666, 0x6666666666666666, 0x0666666666666666 } },
  [21] = { .unit = { 0x8618618618618618, 0x1861861861861861, 0x6186186186186186, 0x8618618618618618, 0x1861861861861861, 0x6186186186186186, 0x8618618618618618, 0x1861861861861861, 0x6186186186186186, 0x8618618618618618, 0x1861861861861861, 0x6186186186186186, 0x8618618618618618, 0x1861861861861861, 0x6186186186186186, 0x0618618618618618 } },
  [22] = { .unit = { 0x45d1745d1745d174, 0x745d1745d1745d17, 0x1745d1745d1745d1, 0xd1745d1745d1745d, 0x5d1745d1745d1745, 0x45d1745d1745d174, 0x745d1745d1745d17, 0x1745d1745d1745d1, 0xd1745d1745d1745d, 0x5d1745d1745d1745, 0x45d1745d1745d174, 0x745d1745d1745d17, 0x1745d1745d1745d1, 0xd1745d1745d1745d, 0x5d1745d1745d1745, 0x05d1745d1745d174 } },
  [23] = { .unit = { 0x2c8590b21642c859, 0xb21642c8590b2164, 0xc8590b21642c8590, 0x21642c8590b21642, 0x8590b21642c8590b, 0x1642c8590b21642c, 0x590b21642c8590b2, 0x642c8590b21642c8, 0x90b21642c8590b21, 0x42c8590b21642c85, 0x0b21642c8590b216, 0x2c8590b21642c859, 0xb21642c8590b2164, 0xc8590b21642c8590, 0x21642c8590b21642, 0x0590b21642c8590b } },
  [24] = { .unit = { 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x5555555555555555, 0x0555555555555555 } },
  [25] = { .unit = { 0x851eb851eb851eb8, 0xb851eb851eb851eb, 0xeb851eb851eb851e, 0x1eb851eb851eb851, 0x51eb851eb851eb85, 0x851eb851eb851eb8, 0xb851eb851eb851eb, 0xeb851eb851eb851e, 0x1eb851eb851eb851, 0x51eb851eb851eb85, 0x851eb851eb851eb8, 0xb851eb851eb851eb, 0xeb851eb851eb851e, 0x1eb851eb851eb851, 0x51eb851eb851eb85, 0x051eb851eb851eb8 } },
  [26] = { .unit = { 0xc4ec4ec4ec4ec4ec, 0xec4ec4ec4ec4ec4e, 0x4ec4ec4ec4ec4ec4, 0xc4ec4ec4ec4ec4ec, 0xec4ec4ec4ec4ec4e, 0x4ec4ec4ec4ec4ec4, 0xc4ec4ec4ec4ec4ec, 0xec4ec4ec4ec4ec4e, 0x4ec4ec4ec4ec4ec4, 0xc4ec4ec4ec4ec4ec, 0xec4ec4ec4ec4ec4e, 0x4ec4ec4ec4ec4ec4, 0xc4ec4ec4ec4ec4ec, 0xec4ec4ec4ec4ec4e, 0x4ec4ec4ec4ec4ec4, 0x04ec4ec4ec4ec4ec } },
  [27] = { .unit = { 0x2f684bda12f684be, 0x684bda12f684bda1, 0x4bda12f684bda12f, 0xda12f684bda12f68, 0x12f684bda12f684b, 0xf684bda12f684bda, 0x84bda12f684bda12, 0xbda12f684bda12f6, 0xa12f684bda12f684, 0x2f684bda12f684bd, 0x684bda12f684bda1, 0x4bda12f684bda12f, 0xda12f684bda12f68, 0x12f684bda12f684b, 0xf684bda12f684bda, 0x04bda12f684bda12 } },
  [28] = { .unit = { 0x2492492492492492, 0x9249249249249249, 0x4924924924924924, 0x2492492492492492, 0x9249249249249249, 0x4924924924924924, 0x2492492492492492, 0x9249249249249249, 0x4924924924924924, 0x2492492492492492, 0x9249249249249249, 0x4924924924924924, 0x2492492492492492, 0x9249249249249249, 0x4924924924924924, 0x0492492492492492 } },
  [29] = { .unit = { 0x69ee58469ee5846a, 0x8469ee58469ee584, 0xe58469ee58469ee5, 0x9ee58469ee58469e, 0x469ee58469ee5846, 0x58469ee58469ee58, 0xee58469ee58469ee, 0x69ee58469ee58469, 0x8469ee58469ee584, 0xe58469ee58469ee5, 0x9ee58469ee58469e, 0x469ee58469ee5846, 0x58469ee58469ee58, 0xee58469ee58469ee, 0x69ee58469ee58469, 0x0469ee58469ee584 } },
  [30] = { .unit = { 0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x0444444444444444 } },
  [31] = { .unit = { 0x8421084210842108, 0x0842108421084210, 0x1084210842108421, 0x2108421084210842, 0x4210842108421084, 0x8421084210842108, 0x0842108421084210, 0x1084210842108421, 0x2108421084210842, 0x4210842108421084, 0x8421084210842108, 0x0842108421084210, 0x1084210842108421, 0x2108421084210842, 0x4210842108421084, 0x0421084210842108 } },
  [32] = { .unit = { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0400000000000000 } },
  [33] = { .unit = { 0x83e0f83e0f83e0f8, 0xf83e0f83e0f83e0f, 0x0f83e0f83e0f83e0, 0xe0f83e0f83e0f83e, 0x3e0f83e0f83e0f83, 0x83e0f83e0f83e0f8, 0xf83e0f83e0f83e0f, 0x0f83e0f83e0f83e0, 0xe0f83e0f83e0f83e, 0x3e0f83e0f83e0f83, 0x83e0f83e0f83e0f8, 0xf83e0f83e0f83e0f, 0x0f83e0f83e0f83e0, 0xe0f83e0f83e0f83e, 0x3e0f83e0f83e0f83, 0x03e0f83e0f83e0f8 } },
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  [244] = { .unit = { 0x60864b8a7de6d1d6, 0xd60864b8a7de6d1d, 0x1d60864b8a7de6d1, 0xd1d60864b8a7de6d, 0x6d1d60864b8a7de6, 0xe6d1d60864b8a7de, 0xde6d1d60864b8a7d, 0x7de6d1d60864b8a7, 0xa7de6d1d60864b8a, 0x8a7de6d1d60864b8, 0xb8a7de6d1d60864b, 0x4b8a7de6d1d60864, 0x64b8a7de6d1d6086, 0x864b8a7de6d1d608, 0x0864b8a7de6d1d60, 0x00864b8a7de6d1d6 } },
  [245] = { .unit = { 0x12cee3c9aa518086, 0x3c9aa518085bf376, 0x518085bf37612cee, 0x5bf37612cee3c9aa, 0x612cee3c9aa51808, 0xe3c9aa518085bf37, 0xa518085bf37612ce, 0x85bf37612cee3c9a, 0x7612cee3c9aa5180, 0xee3c9aa518085bf3, 0xaa518085bf37612c, 0x085bf37612cee3c9, 0x37612cee3c9aa518, 0xcee3c9aa518085bf, 0x9aa518085bf37612, 0x0085bf37612cee3c } },
  [246] = { .unit = { 0x4085340853408534, 0x3408534085340853, 0x5340853408534085, 0x8534085340853408, 0x0853408534085340, 0x4085340853408534, 0x3408534085340853, 0x5340853408534085, 0x8534085340853408, 0x0853408534085340, 0x4085340853408534, 0x3408534085340853, 0x5340853408534085, 0x8534085340853408, 0x0853408534085340, 0x0085340853408534 } },
  [247] = { .unit = { 0xf9c8084a9f9c8085, 0xc8084a9f9c8084a9, 0x084a9f9c8084a9f9, 0x4a9f9c8084a9f9c8, 0x9f9c8084a9f9c808, 0x9c8084a9f9c8084a, 0x8084a9f9c8084a9f, 0x84a9f9c8084a9f9c, 0xa9f9c8084a9f9c80, 0xf9c8084a9f9c8084, 0xc8084a9f9c8084a9, 0x084a9f9c8084a9f9, 0x4a9f9c8084a9f9c8, 0x9f9c8084a9f9c808, 0x9c8084a9f9c8084a, 0x0084a9f9c8084a9f } },
  [248] = { .unit = { 0x1084210842108421, 0x2108421084210842, 0x4210842108421084, 0x8421084210842108, 0x0842108421084210, 0x1084210842108421, 0x2108421084210842, 0x4210842108421084, 0x8421084210842108, 0x0842108421084210, 0x1084210842108421, 0x2108421084210842, 0x4210842108421084, 0x8421084210842108, 0x0842108421084210, 0x0084210842108421 } },
  [249] = { .unit = { 0xcd9f5b8083993052, 0x6e020e64c148fef8, 0x39930523fbe3367d, 0x148fef8cd9f5b808, 0xbe3367d6e020e64c, 0x9f5b80839930523f, 0x020e64c148fef8cd, 0x930523fbe3367d6e, 0x8fef8cd9f5b80839, 0x3367d6e020e64c14, 0x5b80839930523fbe, 0x0e64c148fef8cd9f, 0x0523fbe3367d6e02, 0xef8cd9f5b8083993, 0x67d6e020e64c148f, 0x00839930523fbe33 } },
  [250] = { .unit = { 0xf3b645a1cac08312, 0xac083126e978d4fd, 0x978d4fdf3b645a1c, 0xb645a1cac083126e, 0x083126e978d4fdf3, 0x8d4fdf3b645a1cac, 0x45a1cac083126e97, 0x3126e978d4fdf3b6, 0x4fdf3b645a1cac08, 0xa1cac083126e978d, 0x26e978d4fdf3b645, 0xdf3b645a1cac0831, 0xcac083126e978d4f, 0xe978d4fdf3b645a1, 0x3b645a1cac083126, 0x0083126e978d4fdf } },
  [251] = { .unit = { 0x0a32fefae680828d, 0x680828cbfbeb9a02, 0xbeb9a020a32fefae, 0x32fefae680828cbf, 0x0828cbfbeb9a020a, 0xb9a020a32fefae68, 0xfefae680828cbfbe, 0x28cbfbeb9a020a32, 0xa020a32fefae6808, 0xfae680828cbfbeb9, 0xcbfbeb9a020a32fe, 0x20a32fefae680828, 0xe680828cbfbeb9a0, 0xfbeb9a020a32fefa, 0xa32fefae680828cb, 0x00828cbfbeb9a020 } },
  [252] = { .unit = { 0x2082082082082082, 0x8208208208208208, 0x0820820820820820, 0x2082082082082082, 0x8208208208208208, 0x0820820820820820, 0x2082082082082082, 0x8208208208208208, 0x0820820820820820, 0x2082082082082082, 0x8208208208208208, 0x0820820820820820, 0x2082082082082082, 0x8208208208208208, 0x0820820820820820, 0x0082082082082082 } },
  [253] = { .unit = { 0x3297c75602061237, 0x848da8faf0d27766, 0x9dd98ca5f1d58081, 0x602061236a3ebc34, 0xaf0d277663297c75, 0x5f1d58081848da8f, 0x36a3ebc349dd98ca, 0x663297c756020612, 0x81848da8faf0d277, 0x349dd98ca5f1d580, 0x75602061236a3ebc, 0x8faf0d277663297c, 0xca5f1d58081848da, 0x1236a3ebc349dd98, 0x77663297c7560206, 0x0081848da8faf0d2 } },
  [254] = { .unit = { 0x8102040810204081, 0x4081020408102040, 0x2040810204081020, 0x1020408102040810, 0x0810204081020408, 0x0408102040810204, 0x0204081020408102, 0x8102040810204081, 0x4081020408102040, 0x2040810204081020, 0x1020408102040810, 0x0810204081020408, 0x0408102040810204, 0x0204081020408102, 0x8102040810204081, 0x0081020408102040 } },
  [255] = { .unit = { 0x8080808080808081, 0x8080808080808080, 0x8080808080808080, 0x8080808080808080, 0x8080808080808080, 0x8080808080808080, 0x8080808080808080, 0x8080808080808080, 0x8080808080808080, 0x8080808080808080, 0x8080808080808080, 0x8080808080808080, 0x8080808080808080, 0x8080808080808080, 0x8080808080808080, 0x0080808080808080 } },
};

#elif BN_UNIT_BITS == 32

const bn1024 bn1024InfPos = 
{
 .unit = { 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x7fffffff }
};

const bn1024 bn1024InfNeg = 
{
 .unit = { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x80000000 }
};

const bn1024 bn1024Log2 = 
{
 .unit = { 0x0f3fcdba, 0xda2d97c5, 0x2f20e3a2, 0x655fa187, 0x38303248, 0xf5dfa6bd, 0x9d6548ca, 0x72ce87b1, 0x7657f74b, 0x256fa0ec, 0xb136603b, 0xb9ea9bc3, 0x317c387e, 0x1acbda11, 0x224ae8c5, 0x3e96ca16, 0x1169b825, 0x27573b29, 0xc1382144, 0xed2eae35, 0x4afa1b10, 0x559552fb, 0x6debac98, 0xe7b87620, 0x8baafa2b, 0x8a0d175b, 0x7298b62d, 0x40f34326, 0x03f2f6af, 0xc9e3b398, 0xd1cf79ab, 0xb17217f7 }
};

const bn1024 bn1024Log1p0625 = 
{
 .unit = { 0xa5d9c02b, 0xf85fcf25, 0xb857a365, 0x0fea5d7b, 0x99f1c7fc, 0x3c5c1d2c, 0x980ce36e, 0x8f93e053, 0xeee9d358, 0xd2692bbc, 0x73d21d72, 0xcce585dd, 0x23c4de58, 0xe0f55844, 0x5f36b22c, 0x68fdf95d, 0x77e6bc16, 0x9bc35789, 0xe7a9459e, 0x99f0cc1d, 0x85badcca, 0x908722d9, 0xde861006, 0x6172da6b, 0x96f69849, 0x71851f0a, 0x75b52596, 0xd3474d33, 0x75997898, 0xbe64b8b7, 0x08b15330, 0x0f851860 }
};

const bn1024 bn1024Mul1p0625 = 
{
 .unit = { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x88000000 }
};

const bn1024 bn1024Div1p0625 = 
{
 .unit = { 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0, 0xf0f0f0f0 }
};

const bn1024 bn1024Exp1 = 
{
 .unit = { 0xb324f9c2, 0xbc0ab182, 0x483a797a, 0x30acca4f, 0x36ade735, 0x1df158a1, 0xf3efe872, 0xe2a689da, 0xe0e68b77, 0x984f0c70, 0x7f57c935, 0xb557135e, 0x3ded1af3, 0x85636555, 0x5f066ed0, 0x2433f51f, 0xd5fd6561, 0xd3df1ed5, 0xaec4617a, 0xf681b202, 0x630c75d8, 0x7d2fe363, 0x249b3ef9, 0xcc939dce, 0x146433fb, 0xa9e13641, 0xce2d3695, 0xd8b9c583, 0x273d3cf1, 0xafdc5620, 0xa2bb4a9a, 0xadf85458 }
};

const bn1024 bn1024Exp1Inv = 
{
 .unit = { 0x31b777ee, 0xa3be55cd, 0xd1c956a5, 0xd6dd9188, 0xd90c4ef7, 0x7dd5c1b8, 0x3764ed4f, 0x67a81bea, 0x58d11243, 0xcd2ade4e, 0xfe444626, 0xc087c3f3, 0x580cf14d, 0xd925fdbd, 0xdbaa9270, 0xc0ec2b3b, 0x76dcaa58, 0x29f03c62, 0x968dc392, 0x5aea5550, 0x9d90d27a, 0xb8245b66, 0x472b4215, 0xb16400bf, 0xa507daed, 0x3024b9d0, 0xb56c7733, 0xda9805aa, 0x9054f90d, 0xbadec782, 0xb3bcdf1a, 0x5e2d58d8 }
};

const bn1024 bn1024Exp0p125 = 
{
 .unit = { 0xfca37b4c, 0x6b910290, 0xf941c428, 0xe725e5cf, 0x492ae8ec, 0x9bb7089d, 0x7f8d4e68, 0xa87b83f2, 0x43d3e4f4, 0xe0fca75c, 0x53588b0c, 0xea6f9d21, 0xf88e5662, 0x3d723db7, 0x15b27cdd, 0x73ae406c, 0x12b5ae61, 0x0a584fe3, 0xef3e2399, 0x178072e9, 0x2ce1e182, 0x4ef19144, 0x3a8af5bb, 0xbc3b803a, 0x8118966c, 0xbbb5b0f2, 0x54ab82be, 0x3c5f8642, 0x7035c6a1, 0x76b441c2, 0xb7ae67ce, 0x910b022d }
};

const bn1024 bn1024Pi = 
{
 .unit = { 0x1c55d1fc, 0x98da4836, 0xa163bf05, 0xc2007cb8, 0xece45b3d, 0x49286651, 0x7c4b1fe6, 0xae9f2411, 0x5a899fa5, 0xee386bfb, 0xf406b7ed, 0x0bff5cb6, 0xa637ed6b, 0xf44c42e9, 0x625e7ec6, 0xe485b576, 0x6d51c245, 0x4fe1356d, 0xf25f1437, 0x302b0a6d, 0xcd3a431b, 0xef9519b3, 0x8e3404dd, 0x514a0879, 0x3b139b22, 0x020bbea6, 0x8a67cc74, 0x29024e08, 0x80dc1cd1, 0xc4c6628b, 0x2168c234, 0xc90fdaa2 }
};

const bn1024 bn1024DivFactor[BN1024_DIV_TABLE_SIZE] = 
{
  [0] = { .unit = { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000 } },
  [1] = { .unit = { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000 } },
  [2] = { .unit = { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000 } },
  [3] = { .unit = { 0xaaaaaaab, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0x2aaaaaaa } },
  [4] = { .unit = { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x20000000 } },
  [5] = { .unit = { 0x9999999a, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x99999999, 0x19999999 } },
  [6] = { .unit = { 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x15555555 } },
  [7] = { .unit = { 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x12492492 } },
  [8] = { .unit = { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x10000000 } },
  [9] = { .unit = { 0x38e38e39, 0x8e38e38e, 0xe38e38e3, 0x38e38e38, 0x8e38e38e, 0xe38e38e3, 0x38e38e38, 0x8e38e38e, 0xe38e38e3, 0x38e38e38, 0x8e38e38e, 0xe38e38e3, 0x38e38e38, 0x8e38e38e, 0xe38e38e3, 0x38e38e38, 0x8e38e38e, 0xe38e38e3, 0x38e38e38, 0x8e38e38e, 0xe38e38e3, 0x38e38e38, 0x8e38e38e, 0xe38e38e3, 0x38e38e38, 0x8e38e38e, 0xe38e38e3, 0x38e38e38, 0x8e38e38e, 0xe38e38e3, 0x38e38e38, 0x0e38e38e } },
  [10] = { .unit = { 0xcccccccd, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0x0ccccccc } },
  [11] = { .unit = { 0x2e8ba2e9, 0x8ba2e8ba, 0xa2e8ba2e, 0xe8ba2e8b, 0xba2e8ba2, 0x2e8ba2e8, 0x8ba2e8ba, 0xa2e8ba2e, 0xe8ba2e8b, 0xba2e8ba2, 0x2e8ba2e8, 0x8ba2e8ba, 0xa2e8ba2e, 0xe8ba2e8b, 0xba2e8ba2, 0x2e8ba2e8, 0x8ba2e8ba, 0xa2e8ba2e, 0xe8ba2e8b, 0xba2e8ba2, 0x2e8ba2e8, 0x8ba2e8ba, 0xa2e8ba2e, 0xe8ba2e8b, 0xba2e8ba2, 0x2e8ba2e8, 0x8ba2e8ba, 0xa2e8ba2e, 0xe8ba2e8b, 0xba2e8ba2, 0x2e8ba2e8, 0x0ba2e8ba } },
  [12] = { .unit = { 0xaaaaaaab, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0x0aaaaaaa } },
  [13] = { .unit = { 0xd89d89d9, 0x89d89d89, 0x9d89d89d, 0xd89d89d8, 0x89d89d89, 0x9d89d89d, 0xd89d89d8, 0x89d89d89, 0x9d89d89d, 0xd89d89d8, 0x89d89d89, 0x9d89d89d, 0xd89d89d8, 0x89d89d89, 0x9d89d89d, 0xd89d89d8, 0x89d89d89, 0x9d89d89d, 0xd89d89d8, 0x89d89d89, 0x9d89d89d, 0xd89d89d8, 0x89d89d89, 0x9d89d89d, 0xd89d89d8, 0x89d89d89, 0x9d89d89d, 0xd89d89d8, 0x89d89d89, 0x9d89d89d, 0xd89d89d8, 0x09d89d89 } },
  [14] = { .unit = { 0x24924925, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x49249249, 0x92492492, 0x24924924, 0x09249249 } },
  [15] = { .unit = { 0x88888889, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x08888888 } },
  [16] = { .unit = { 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x08000000 } },
  [17] = { .unit = { 0x87878788, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x87878787, 0x07878787 } },
  [18] = { .unit = { 0x1c71c71c, 0xc71c71c7, 0x71c71c71, 0x1c71c71c, 0xc71c71c7, 0x71c71c71, 0x1c71c71c, 0xc71c71c7, 0x71c71c71, 0x1c71c71c, 0xc71c71c7, 0x71c71c71, 0x1c71c71c, 0xc71c71c7, 0x71c71c71, 0x1c71c71c, 0xc71c71c7, 0x71c71c71, 0x1c71c71c, 0xc71c71c7, 0x71c71c71, 0x1c71c71c, 0xc71c71c7, 0x71c71c71, 0x1c71c71c, 0xc71c71c7, 0x71c71c71, 0x1c71c71c, 0xc71c71c7, 0x71c71c71, 0x1c71c71c, 0x071c71c7 } },
  [19] = { .unit = { 0x1af286bd, 0xaf286bca, 0xf286bca1, 0x286bca1a, 0x86bca1af, 0x6bca1af2, 0xbca1af28, 0xca1af286, 0xa1af286b, 0x1af286bc, 0xaf286bca, 0xf286bca1, 0x286bca1a, 0x86bca1af, 0x6bca1af2, 0xbca1af28, 0xca1af286, 0xa1af286b, 0x1af286bc, 0xaf286bca, 0xf286bca1, 0x286bca1a, 0x86bca1af, 0x6bca1af2, 0xbca1af28, 0xca1af286, 0xa1af286b, 0x1af286bc, 0xaf286bca, 0xf286bca1, 0x286bca1a, 0x06bca1af } },
  [20] = { .unit = { 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x66666666, 0x06666666 } },
  [21] = { .unit = { 0x18618618, 0x86186186, 0x61861861, 0x18618618, 0x86186186, 0x61861861, 0x18618618, 0x86186186, 0x61861861, 0x18618618, 0x86186186, 0x61861861, 0x18618618, 0x86186186, 0x61861861, 0x18618618, 0x86186186, 0x61861861, 0x18618618, 0x86186186, 0x61861861, 0x18618618, 0x86186186, 0x61861861, 0x18618618, 0x86186186, 0x61861861, 0x18618618, 0x86186186, 0x61861861, 0x18618618, 0x06186186 } },
  [22] = { .unit = { 0x1745d174, 0x45d1745d, 0xd1745d17, 0x745d1745, 0x5d1745d1, 0x1745d174, 0x45d1745d, 0xd1745d17, 0x745d1745, 0x5d1745d1, 0x1745d174, 0x45d1745d, 0xd1745d17, 0x745d1745, 0x5d1745d1, 0x1745d174, 0x45d1745d, 0xd1745d17, 0x745d1745, 0x5d1745d1, 0x1745d174, 0x45d1745d, 0xd1745d17, 0x745d1745, 0x5d1745d1, 0x1745d174, 0x45d1745d, 0xd1745d17, 0x745d1745, 0x5d1745d1, 0x1745d174, 0x05d1745d } },
  [23] = { .unit = { 0x1642c859, 0x2c8590b2, 0x590b2164, 0xb21642c8, 0x642c8590, 0xc8590b21, 0x90b21642, 0x21642c85, 0x42c8590b, 0x8590b216, 0x0b21642c, 0x1642c859, 0x2c8590b2, 0x590b2164, 0xb21642c8, 0x642c8590, 0xc8590b21, 0x90b21642, 0x21642c85, 0x42c8590b, 0x8590b216, 0x0b21642c, 0x1642c859, 0x2c8590b2, 0x590b2164, 0xb21642c8, 0x642c8590, 0xc8590b21, 0x90b21642, 0x21642c85, 0x42c8590b, 0x0590b216 } },
  [24] = { .unit = { 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x55555555, 0x05555555 } },
  [25] = { .unit = { 0xeb851eb8, 0x851eb851, 0x1eb851eb, 0xb851eb85, 0x51eb851e, 0xeb851eb8, 0x851eb851, 0x1eb851eb, 0xb851eb85, 0x51eb851e, 0xeb851eb8, 0x851eb851, 0x1eb851eb, 0xb851eb85, 0x51eb851e, 0xeb851eb8, 0x851eb851, 0x1eb851eb, 0xb851eb85, 0x51eb851e, 0xeb851eb8, 0x851eb851, 0x1eb851eb, 0xb851eb85, 0x51eb851e, 0xeb851eb8, 0x851eb851, 0x1eb851eb, 0xb851eb85, 0x51eb851e, 0xeb851eb8, 0x051eb851 } },
  [26] = { .unit = { 0xec4ec4ec, 0xc4ec4ec4, 0x4ec4ec4e, 0xec4ec4ec, 0xc4ec4ec4, 0x4ec4ec4e, 0xec4ec4ec, 0xc4ec4ec4, 0x4ec4ec4e, 0xec4ec4ec, 0xc4ec4ec4, 0x4ec4ec4e, 0xec4ec4ec, 0xc4ec4ec4, 0x4ec4ec4e, 0xec4ec4ec, 0xc4ec4ec4, 0x4ec4ec4e, 0xec4ec4ec, 0xc4ec4ec4, 0x4ec4ec4e, 0xec4ec4ec, 0xc4ec4ec4, 0x4ec4ec4e, 0xec4ec4ec, 0xc4ec4ec4, 0x4ec4ec4e, 0xec4ec4ec, 0xc4ec4ec4, 0x4ec4ec4e, 0xec4ec4ec, 0x04ec4ec4 } },
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  [232] = { .unit = { 0xd3dcb08d, 0x8d3dcb08, 0x08d3dcb0, 0xb08d3dcb, 0xcb08d3dc, 0xdcb08d3d, 0x3dcb08d3, 0xd3dcb08d, 0x8d3dcb08, 0x08d3dcb0, 0xb08d3dcb, 0xcb08d3dc, 0xdcb08d3d, 0x3dcb08d3, 0xd3dcb08d, 0x8d3dcb08, 0x08d3dcb0, 0xb08d3dcb, 0xcb08d3dc, 0xdcb08d3d, 0x3dcb08d3, 0xd3dcb08d, 0x8d3dcb08, 0x08d3dcb0, 0xb08d3dcb, 0xcb08d3dc, 0xdcb08d3d, 0x3dcb08d3, 0xd3dcb08d, 0x8d3dcb08, 0x08d3dcb0, 0x008d3dcb } },
  [233] = { .unit = { 0x2328a701, 0x046514e0, 0x808ca29c, 0x70119453, 0x4e02328a, 0x29c04651, 0x453808ca, 0x28a70119, 0x6514e023, 0x8ca29c04, 0x11945380, 0x02328a70, 0xc046514e, 0x3808ca29, 0xa7011945, 0x14e02328, 0xa29c0465, 0x9453808c, 0x328a7011, 0x46514e02, 0x08ca29c0, 0x01194538, 0xe02328a7, 0x9c046514, 0x53808ca2, 0x8a701194, 0x514e0232, 0xca29c046, 0x19453808, 0x2328a701, 0x046514e0, 0x008ca29c } },
  [234] = { .unit = { 0x8c08c08c, 0xc08c08c0, 0x08c08c08, 0x8c08c08c, 0xc08c08c0, 0x08c08c08, 0x8c08c08c, 0xc08c08c0, 0x08c08c08, 0x8c08c08c, 0xc08c08c0, 0x08c08c08, 0x8c08c08c, 0xc08c08c0, 0x08c08c08, 0x8c08c08c, 0xc08c08c0, 0x08c08c08, 0x8c08c08c, 0xc08c08c0, 0x08c08c08, 0x8c08c08c, 0xc08c08c0, 0x08c08c08, 0x8c08c08c, 0xc08c08c0, 0x08c08c08, 0x8c08c08c, 0xc08c08c0, 0x08c08c08, 0x8c08c08c, 0x008c08c0 } },
  [235] = { .unit = { 0x6ac1e809, 0x139bc75a, 0x8b70344a, 0xa6ac1e80, 0xa139bc75, 0x08b70344, 0x5a6ac1e8, 0x4a139bc7, 0x808b7034, 0x75a6ac1e, 0x44a139bc, 0xe808b703, 0xc75a6ac1, 0x344a139b, 0x1e808b70, 0xbc75a6ac, 0x0344a139, 0xc1e808b7, 0x9bc75a6a, 0x70344a13, 0xac1e808b, 0x39bc75a6, 0xb70344a1, 0x6ac1e808, 0x139bc75a, 0x8b70344a, 0xa6ac1e80, 0xa139bc75, 0x08b70344, 0x5a6ac1e8, 0x4a139bc7, 0x008b7034 } },
  [236] = { .unit = { 0x22b63cbf, 0xfba93868, 0xa08ad8f2, 0xcbeea4e1, 0x86822b63, 0x8f2fba93, 0x4e1a08ad, 0xb63cbeea, 0xa9386822, 0x8ad8f2fb, 0xeea4e1a0, 0x822b63cb, 0x2fba9386, 0x1a08ad8f, 0x3cbeea4e, 0x386822b6, 0xd8f2fba9, 0xa4e1a08a, 0x2b63cbee, 0xba938682, 0x08ad8f2f, 0xbeea4e1a, 0x6822b63c, 0xf2fba938, 0xe1a08ad8, 0x63cbeea4, 0x9386822b, 0xad8f2fba, 0xea4e1a08, 0x22b63cbe, 0xfba93868, 0x008ad8f2 } },
  [237] = { .unit = { 0xdb463602, 0xf8705669, 0x8d808a42, 0x159a76d1, 0x2290be1c, 0x9db46360, 0x2f870566, 0x18d808a4, 0xc159a76d, 0x02290be1, 0x69db4636, 0x42f87056, 0xd18d808a, 0x1c159a76, 0x602290be, 0x669db463, 0xa42f8705, 0x6d18d808, 0xe1c159a7, 0x3602290b, 0x5669db46, 0x8a42f870, 0x76d18d80, 0xbe1c159a, 0x63602290, 0x05669db4, 0x08a42f87, 0xa76d18d8, 0x0be1c159, 0x46360229, 0x705669db, 0x008a42f8 } },
  [238] = { .unit = { 0x89ae408a, 0x4089ae40, 0xae4089ae, 0x89ae4089, 0x4089ae40, 0xae4089ae, 0x89ae4089, 0x4089ae40, 0xae4089ae, 0x89ae4089, 0x4089ae40, 0xae4089ae, 0x89ae4089, 0x4089ae40, 0xae4089ae, 0x89ae4089, 0x4089ae40, 0xae4089ae, 0x89ae4089, 0x4089ae40, 0xae4089ae, 0x89ae4089, 0x4089ae40, 0xae4089ae, 0x89ae4089, 0x4089ae40, 0xae4089ae, 0x89ae4089, 0x4089ae40, 0xae4089ae, 0x89ae4089, 0x0089ae40 } },
  [239] = { .unit = { 0xe9819b50, 0x891ac73a, 0x4268f880, 0xa82ad85e, 0x9d74c0cd, 0x40448d63, 0x2f21347c, 0x66d4156c, 0xb1ceba60, 0x3e202246, 0xb617909a, 0x30336a0a, 0x2358e75d, 0x4d1f1011, 0x055b0bc8, 0xae9819b5, 0x0891ac73, 0xe4268f88, 0xda82ad85, 0x39d74c0c, 0xc40448d6, 0xc2f21347, 0x066d4156, 0x6b1ceba6, 0xa3e20224, 0xab617909, 0xd30336a0, 0x12358e75, 0x84d1f101, 0x5055b0bc, 0x3ae9819b, 0x00891ac7 } },
  [240] = { .unit = { 0x88888889, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x88888888, 0x00888888 } },
  [241] = { .unit = { 0x87f78088, 0x8087f780, 0xf78087f7, 0x87f78087, 0x8087f780, 0xf78087f7, 0x87f78087, 0x8087f780, 0xf78087f7, 0x87f78087, 0x8087f780, 0xf78087f7, 0x87f78087, 0x8087f780, 0xf78087f7, 0x87f78087, 0x8087f780, 0xf78087f7, 0x87f78087, 0x8087f780, 0xf78087f7, 0x87f78087, 0x8087f780, 0xf78087f7, 0x87f78087, 0x8087f780, 0xf78087f7, 0x87f78087, 0x8087f780, 0xf78087f7, 0x87f78087, 0x0087f780 } },
  [242] = { .unit = { 0x021d9ead, 0xa9419637, 0xe47ef130, 0x67ab5f34, 0x658dc087, 0xbc4c2a50, 0xd7cd391f, 0x7021d9ea, 0x0a941963, 0x4e47ef13, 0x767ab5f3, 0x0658dc08, 0xfbc4c2a5, 0xad7cd391, 0x37021d9e, 0x30a94196, 0x34e47ef1, 0x8767ab5f, 0x50658dc0, 0x1fbc4c2a, 0xead7cd39, 0x637021d9, 0x130a9419, 0xf34e47ef, 0x08767ab5, 0xa50658dc, 0x91fbc4c2, 0x9ead7cd3, 0x9637021d, 0xf130a941, 0x5f34e47e, 0x008767ab } },
  [243] = { .unit = { 0x905447a3, 0x3e28086d, 0x70b96a67, 0xef24df57, 0x2b3183af, 0x41511e8d, 0xf8a021b6, 0xc2e5a99c, 0xbc937d5d, 0xacc60ebf, 0x05447a34, 0xe28086d9, 0x0b96a673, 0xf24df577, 0xb3183afe, 0x1511e8d2, 0x8a021b64, 0x2e5a99cf, 0xc937d5dc, 0xcc60ebfb, 0x5447a34a, 0x28086d90, 0xb96a673e, 0x24df5770, 0x3183afef, 0x511e8d2b, 0xa021b641, 0xe5a99cf8, 0x937d5dc2, 0xc60ebfbc, 0x447a34ac, 0x0086d905 } },
  [244] = { .unit = { 0x7de6d1d6, 0x60864b8a, 0xa7de6d1d, 0xd60864b8, 0x8a7de6d1, 0x1d60864b, 0xb8a7de6d, 0xd1d60864, 0x4b8a7de6, 0x6d1d6086, 0x64b8a7de, 0xe6d1d608, 0x864b8a7d, 0xde6d1d60, 0x0864b8a7, 0x7de6d1d6, 0x60864b8a, 0xa7de6d1d, 0xd60864b8, 0x8a7de6d1, 0x1d60864b, 0xb8a7de6d, 0xd1d60864, 0x4b8a7de6, 0x6d1d6086, 0x64b8a7de, 0xe6d1d608, 0x864b8a7d, 0xde6d1d60, 0x0864b8a7, 0x7de6d1d6, 0x00864b8a } },
  [245] = { .unit = { 0xaa518086, 0x12cee3c9, 0x085bf376, 0x3c9aa518, 0x37612cee, 0x518085bf, 0xcee3c9aa, 0x5bf37612, 0x9aa51808, 0x612cee3c, 0x8085bf37, 0xe3c9aa51, 0xf37612ce, 0xa518085b, 0x2cee3c9a, 0x85bf3761, 0xc9aa5180, 0x7612cee3, 0x18085bf3, 0xee3c9aa5, 0xbf37612c, 0xaa518085, 0x12cee3c9, 0x085bf376, 0x3c9aa518, 0x37612cee, 0x518085bf, 0xcee3c9aa, 0x5bf37612, 0x9aa51808, 0x612cee3c, 0x0085bf37 } },
  [246] = { .unit = { 0x53408534, 0x40853408, 0x85340853, 0x34085340, 0x08534085, 0x53408534, 0x40853408, 0x85340853, 0x34085340, 0x08534085, 0x53408534, 0x40853408, 0x85340853, 0x34085340, 0x08534085, 0x53408534, 0x40853408, 0x85340853, 0x34085340, 0x08534085, 0x53408534, 0x40853408, 0x85340853, 0x34085340, 0x08534085, 0x53408534, 0x40853408, 0x85340853, 0x34085340, 0x08534085, 0x53408534, 0x00853408 } },
  [247] = { .unit = { 0x9f9c8085, 0xf9c8084a, 0x9c8084a9, 0xc8084a9f, 0x8084a9f9, 0x084a9f9c, 0x84a9f9c8, 0x4a9f9c80, 0xa9f9c808, 0x9f9c8084, 0xf9c8084a, 0x9c8084a9, 0xc8084a9f, 0x8084a9f9, 0x084a9f9c, 0x84a9f9c8, 0x4a9f9c80, 0xa9f9c808, 0x9f9c8084, 0xf9c8084a, 0x9c8084a9, 0xc8084a9f, 0x8084a9f9, 0x084a9f9c, 0x84a9f9c8, 0x4a9f9c80, 0xa9f9c808, 0x9f9c8084, 0xf9c8084a, 0x9c8084a9, 0xc8084a9f, 0x0084a9f9 } },
  [248] = { .unit = { 0x42108421, 0x10842108, 0x84210842, 0x21084210, 0x08421084, 0x42108421, 0x10842108, 0x84210842, 0x21084210, 0x08421084, 0x42108421, 0x10842108, 0x84210842, 0x21084210, 0x08421084, 0x42108421, 0x10842108, 0x84210842, 0x21084210, 0x08421084, 0x42108421, 0x10842108, 0x84210842, 0x21084210, 0x08421084, 0x42108421, 0x10842108, 0x84210842, 0x21084210, 0x08421084, 0x42108421, 0x00842108 } },
  [249] = { .unit = { 0x83993052, 0xcd9f5b80, 0xc148fef8, 0x6e020e64, 0xfbe3367d, 0x39930523, 0xd9f5b808, 0x148fef8c, 0xe020e64c, 0xbe3367d6, 0x9930523f, 0x9f5b8083, 0x48fef8cd, 0x020e64c1, 0xe3367d6e, 0x930523fb, 0xf5b80839, 0x8fef8cd9, 0x20e64c14, 0x3367d6e0, 0x30523fbe, 0x5b808399, 0xfef8cd9f, 0x0e64c148, 0x367d6e02, 0x0523fbe3, 0xb8083993, 0xef8cd9f5, 0xe64c148f, 0x67d6e020, 0x523fbe33, 0x00839930 } },
  [250] = { .unit = { 0xcac08312, 0xf3b645a1, 0xe978d4fd, 0xac083126, 0x3b645a1c, 0x978d4fdf, 0xc083126e, 0xb645a1ca, 0x78d4fdf3, 0x083126e9, 0x645a1cac, 0x8d4fdf3b, 0x83126e97, 0x45a1cac0, 0xd4fdf3b6, 0x3126e978, 0x5a1cac08, 0x4fdf3b64, 0x126e978d, 0xa1cac083, 0xfdf3b645, 0x26e978d4, 0x1cac0831, 0xdf3b645a, 0x6e978d4f, 0xcac08312, 0xf3b645a1, 0xe978d4fd, 0xac083126, 0x3b645a1c, 0x978d4fdf, 0x0083126e } },
  [251] = { .unit = { 0xe680828d, 0x0a32fefa, 0xfbeb9a02, 0x680828cb, 0xa32fefae, 0xbeb9a020, 0x80828cbf, 0x32fefae6, 0xeb9a020a, 0x0828cbfb, 0x2fefae68, 0xb9a020a3, 0x828cbfbe, 0xfefae680, 0x9a020a32, 0x28cbfbeb, 0xefae6808, 0xa020a32f, 0x8cbfbeb9, 0xfae68082, 0x020a32fe, 0xcbfbeb9a, 0xae680828, 0x20a32fef, 0xbfbeb9a0, 0xe680828c, 0x0a32fefa, 0xfbeb9a02, 0x680828cb, 0xa32fefae, 0xbeb9a020, 0x00828cbf } },
  [252] = { .unit = { 0x82082082, 0x20820820, 0x08208208, 0x82082082, 0x20820820, 0x08208208, 0x82082082, 0x20820820, 0x08208208, 0x82082082, 0x20820820, 0x08208208, 0x82082082, 0x20820820, 0x08208208, 0x82082082, 0x20820820, 0x08208208, 0x82082082, 0x20820820, 0x08208208, 0x82082082, 0x20820820, 0x08208208, 0x82082082, 0x20820820, 0x08208208, 0x82082082, 0x20820820, 0x08208208, 0x82082082, 0x00820820 } },
  [253] = { .unit = { 0x02061237, 0x3297c756, 0xf0d27766, 0x848da8fa, 0xf1d58081, 0x9dd98ca5, 0x6a3ebc34, 0x60206123, 0x63297c75, 0xaf0d2776, 0x1848da8f, 0x5f1d5808, 0x49dd98ca, 0x36a3ebc3, 0x56020612, 0x663297c7, 0xfaf0d277, 0x81848da8, 0xa5f1d580, 0x349dd98c, 0x236a3ebc, 0x75602061, 0x7663297c, 0x8faf0d27, 0x081848da, 0xca5f1d58, 0xc349dd98, 0x1236a3eb, 0xc7560206, 0x77663297, 0xa8faf0d2, 0x0081848d } },
  [254] = { .unit = { 0x10204081, 0x81020408, 0x08102040, 0x40810204, 0x04081020, 0x20408102, 0x02040810, 0x10204081, 0x81020408, 0x08102040, 0x40810204, 0x04081020, 0x20408102, 0x02040810, 0x10204081, 0x81020408, 0x08102040, 0x40810204, 0x04081020, 0x20408102, 0x02040810, 0x10204081, 0x81020408, 0x08102040, 0x40810204, 0x04081020, 0x20408102, 0x02040810, 0x10204081, 0x81020408, 0x08102040, 0x00810204 } },
  [255] = { .unit = { 0x80808081, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x80808080, 0x00808080 } },
};

#endif



////



static inline void bn1024Shr2( bn1024 *dst )
{
#if BN_UNIT_BITS == 64
  dst->unit[0] = ( dst->unit[0] >> 2 ) | ( dst->unit[1] << (BN_UNIT_BITS-2) );
  dst->unit[1] = ( dst->unit[1] >> 2 ) | ( dst->unit[2] << (BN_UNIT_BITS-2) );
  dst->unit[2] = ( dst->unit[2] >> 2 ) | ( dst->unit[3] << (BN_UNIT_BITS-2) );
  dst->unit[3] = ( dst->unit[3] >> 2 ) | ( dst->unit[4] << (BN_UNIT_BITS-2) );
  dst->unit[4] = ( dst->unit[4] >> 2 ) | ( dst->unit[5] << (BN_UNIT_BITS-2) );
  dst->unit[5] = ( dst->unit[5] >> 2 ) | ( dst->unit[6] << (BN_UNIT_BITS-2) );
  dst->unit[6] = ( dst->unit[6] >> 2 ) | ( dst->unit[7] << (BN_UNIT_BITS-2) );
  dst->unit[7] = ( dst->unit[7] >> 2 ) | ( dst->unit[8] << (BN_UNIT_BITS-2) );;
  dst->unit[8] = ( dst->unit[8] >> 2 ) | ( dst->unit[9] << (BN_UNIT_BITS-2) );
  dst->unit[9] = ( dst->unit[9] >> 2 ) | ( dst->unit[10] << (BN_UNIT_BITS-2) );
  dst->unit[10] = ( dst->unit[10] >> 2 ) | ( dst->unit[11] << (BN_UNIT_BITS-2) );
  dst->unit[11] = ( dst->unit[11] >> 2 ) | ( dst->unit[12] << (BN_UNIT_BITS-2) );
  dst->unit[12] = ( dst->unit[12] >> 2 ) | ( dst->unit[13] << (BN_UNIT_BITS-2) );
  dst->unit[13] = ( dst->unit[13] >> 2 ) | ( dst->unit[14] << (BN_UNIT_BITS-2) );
  dst->unit[14] = ( dst->unit[14] >> 2 ) | ( dst->unit[15] << (BN_UNIT_BITS-2) );
  dst->unit[15] = ( dst->unit[15] >> 2 );
#else
  dst->unit[0] = ( dst->unit[0] >> 2 ) | ( dst->unit[1] << (BN_UNIT_BITS-2) );
  dst->unit[1] = ( dst->unit[1] >> 2 ) | ( dst->unit[2] << (BN_UNIT_BITS-2) );
  dst->unit[2] = ( dst->unit[2] >> 2 ) | ( dst->unit[3] << (BN_UNIT_BITS-2) );
  dst->unit[3] = ( dst->unit[3] >> 2 ) | ( dst->unit[4] << (BN_UNIT_BITS-2) );
  dst->unit[4] = ( dst->unit[4] >> 2 ) | ( dst->unit[5] << (BN_UNIT_BITS-2) );
  dst->unit[5] = ( dst->unit[5] >> 2 ) | ( dst->unit[6] << (BN_UNIT_BITS-2) );
  dst->unit[6] = ( dst->unit[6] >> 2 ) | ( dst->unit[7] << (BN_UNIT_BITS-2) );
  dst->unit[7] = ( dst->unit[7] >> 2 ) | ( dst->unit[8] << (BN_UNIT_BITS-2) );
  dst->unit[8] = ( dst->unit[8] >> 2 ) | ( dst->unit[9] << (BN_UNIT_BITS-2) );
  dst->unit[9] = ( dst->unit[9] >> 2 ) | ( dst->unit[10] << (BN_UNIT_BITS-2) );
  dst->unit[10] = ( dst->unit[10] >> 2 ) | ( dst->unit[11] << (BN_UNIT_BITS-2) );
  dst->unit[11] = ( dst->unit[11] >> 2 ) | ( dst->unit[12] << (BN_UNIT_BITS-2) );
  dst->unit[12] = ( dst->unit[12] >> 2 ) | ( dst->unit[13] << (BN_UNIT_BITS-2) );
  dst->unit[13] = ( dst->unit[13] >> 2 ) | ( dst->unit[14] << (BN_UNIT_BITS-2) );
  dst->unit[14] = ( dst->unit[14] >> 2 ) | ( dst->unit[15] << (BN_UNIT_BITS-2) );
  dst->unit[15] = ( dst->unit[15] >> 2 ) | ( dst->unit[16] << (BN_UNIT_BITS-2) );
  dst->unit[16] = ( dst->unit[0] >> 2 ) | ( dst->unit[17] << (BN_UNIT_BITS-2) );
  dst->unit[17] = ( dst->unit[1] >> 2 ) | ( dst->unit[18] << (BN_UNIT_BITS-2) );
  dst->unit[18] = ( dst->unit[2] >> 2 ) | ( dst->unit[19] << (BN_UNIT_BITS-2) );
  dst->unit[19] = ( dst->unit[3] >> 2 ) | ( dst->unit[20] << (BN_UNIT_BITS-2) );
  dst->unit[20] = ( dst->unit[4] >> 2 ) | ( dst->unit[21] << (BN_UNIT_BITS-2) );
  dst->unit[21] = ( dst->unit[5] >> 2 ) | ( dst->unit[22] << (BN_UNIT_BITS-2) );
  dst->unit[22] = ( dst->unit[6] >> 2 ) | ( dst->unit[23] << (BN_UNIT_BITS-2) );
  dst->unit[23] = ( dst->unit[7] >> 2 ) | ( dst->unit[24] << (BN_UNIT_BITS-2) );
  dst->unit[24] = ( dst->unit[8] >> 2 ) | ( dst->unit[25] << (BN_UNIT_BITS-2) );
  dst->unit[25] = ( dst->unit[9] >> 2 ) | ( dst->unit[26] << (BN_UNIT_BITS-2) );
  dst->unit[26] = ( dst->unit[10] >> 2 ) | ( dst->unit[27] << (BN_UNIT_BITS-2) );
  dst->unit[27] = ( dst->unit[11] >> 2 ) | ( dst->unit[28] << (BN_UNIT_BITS-2) );
  dst->unit[28] = ( dst->unit[12] >> 2 ) | ( dst->unit[29] << (BN_UNIT_BITS-2) );
  dst->unit[29] = ( dst->unit[13] >> 2 ) | ( dst->unit[30] << (BN_UNIT_BITS-2) );
  dst->unit[30] = ( dst->unit[14] >> 2 ) | ( dst->unit[31] << (BN_UNIT_BITS-2) );
  dst->unit[31] = ( dst->unit[15] >> 2 );
#endif
  return;
}


void bn1024Sqrt( bn1024 *dst, const bn1024 * const src, bnShift shift )
{
  int msb, oneshift;
  bn1024 base, one, tmp;

  bn1024Set( &base, src );
  bn1024Zero( dst );
  msb = bn1024GetIndexMSB( &base );
  oneshift = ( msb & ~0x1 ) | ( shift & 0x1 );
  bn1024Zero( &one );
  bn1024SetBit( &one, oneshift );
  for( ; bn1024CmpGt( &one, &base ) ; )
  {
    oneshift -= 2;
    bn1024Shr2( &one );
  }
  for( ; ; )
  {
    bn1024SetOr( &tmp, dst, &one );
    bn1024Shr1( dst );
    if( bn1024CmpGe( &base, &tmp ) )
    {
      bn1024Sub( &base, &tmp );
      bn1024Or( dst, &one );
    }
    if( oneshift < 2 )
    {
      if( shift < 2 )
        break;
      shift -= 2;
      bn1024Shl( dst, dst, 2 );
      bn1024Shl( &base, &base, 2 );
    }
    else
    {
      oneshift -= 2;
      bn1024Zero( &one );
      bn1024SetBit( &one, oneshift );
    }
  }
  if( bn1024CmpGt( &base, dst ) )
    bn1024Add32( dst, 1 );

  return;
}


void bn1024Log( bn1024 *dst, const bn1024 * const src, bnShift shift )
{
  int divisor;
  bn1024 one, limit, base, fsub, fadd, part, bnlog, tmp;
#ifndef BN1024_USE_INVERSE_DIVISION
  bn1024 factor;
#endif

  bn1024Zero( dst );
  if( bn1024CmpNegative( src ) )
    return;
  bn1024Set( &base, src );
  bn1024Set32Shl( &one, 1, shift );
  if( bn1024CmpGt( &base, &one ) )
  {
    bn1024Set32Shl( &limit, 2, shift-0 );
    if( bn1024CmpGt( &base, &limit ) )
    {
      bn1024ShrRound( &bnlog, &bn1024Log2, BN1024_LOG2_SHIFT - shift );
      do
      {
        bn1024Add( dst, &bnlog );
        bn1024Shr1( &base );
      } while( bn1024CmpGt( &base, &limit ) );
    }
    bn1024Set32Shl( &limit, 33, shift-5 );
    if( bn1024CmpGt( &base, &limit ) )
    {
      bn1024ShrRound( &bnlog, &bn1024Log1p0625, BN1024_LOG1P0625_SHIFT - shift );
      do
      {
        bn1024Add( dst, &bnlog );
        bn1024MulShr( &tmp, &bn1024Div1p0625, &base, BN1024_DIV1P0625_SHIFT );
        if( bn1024CmpEq( &base, &tmp ) )
          break;
        bn1024Set( &base, &tmp );
      } while( bn1024CmpGt( &base, &limit ) );
    }
  }
  else
  {
    bn1024Set32Shl( &limit, 1, shift-1 );
    if( bn1024CmpLt( &base, &limit ) )
    {
      bn1024ShrRound( &bnlog, &bn1024Log2, BN1024_LOG2_SHIFT - shift );
      do
      {
        bn1024Sub( dst, &bnlog );
        bn1024Shl1( &base );
      } while( bn1024CmpLt( &base, &limit ) );
    }
    bn1024Set32Shl( &limit, 31, shift-5 );
    if( bn1024CmpLt( &base, &limit ) )
    {
      bn1024ShrRound( &bnlog, &bn1024Log1p0625, BN1024_LOG1P0625_SHIFT - shift );
      do
      {
        bn1024Sub( dst, &bnlog );
        bn1024MulShr( &tmp, &bn1024Mul1p0625, &base, BN1024_MUL1P0625_SHIFT );
        if( bn1024CmpEq( &base, &tmp ) )
          break;
        bn1024Set( &base, &tmp );
      } while( bn1024CmpLt( &base, &limit ) );
    }
  }

  bn1024Sub( &base, &one );
  bn1024SquareShr( &fsub, &base, shift );
  bn1024Add( dst, &base );
  for( divisor = 2 ; divisor < BN1024_DIV_TABLE_SIZE ; divisor += 2 )
  {
#ifdef BN1024_USE_INVERSE_DIVISION
    bn1024MulSignedShr( &part, &bn1024DivFactor[divisor+0], &fsub, BN1024_DIV_SHIFT );
#else
    bn1024Set( &factor, &one );
    bn1024Div32Round( &factor, divisor+0 );
    bn1024MulSignedShr( &part, &factor, &fsub, shift );
#endif
    bn1024Sub( dst, &part );
    bn1024MulSignedShr( &fadd, &fsub, &base, shift );
    if( bn1024CmpEqOrZero( &fadd, &fsub ) )
      break;
#ifdef BN1024_USE_INVERSE_DIVISION
    bn1024MulSignedShr( &part, &bn1024DivFactor[divisor+1], &fadd, BN1024_DIV_SHIFT );
#else
    bn1024Set( &factor, &one );
    bn1024Div32Round( &factor, divisor+1 );
    bn1024MulSignedShr( &part, &factor, &fadd, shift );
#endif
    bn1024Add( dst, &part );
    bn1024MulSignedShr( &fsub, &fadd, &base, shift );
    if( bn1024CmpEqOrZero( &fsub, &fadd ) )
      break;
  }
#ifdef BN1024_PRINT_REPORT
  printf( "Log Iteration Count : %d\n", (divisor-2)/2 );
#endif

  return;
}


void bn1024Exp( bn1024 *dst, const bn1024 * const src, bnShift shift )
{
  int divisor, factorflag;
  bn1024 term0, term1, one, factor, tmp, base, limit, bnexp, div8;

  bn1024Set32Shl( &one, 1, shift );
  bn1024Set( &base, src );

  factorflag = 0;
  bn1024Set( &factor, &one );
  if( bn1024CmpPositive( &base ) )
  {
    bn1024Set( &limit, &one );
    if( bn1024CmpGt( &base, &limit ) )
    {
      bn1024ShrRound( &bnexp, &bn1024Exp1, BN1024_EXP1_SHIFT - shift );
      factorflag = 1;
      do
      {
        if( bn1024MulCheckShr( &tmp, &factor, &bnexp, shift ) )
        {
          bn1024Set( dst, &bn1024InfPos );
          return;
        }
        bn1024Set( &factor, &tmp );
        bn1024Sub( &base, &one );
      } while( bn1024CmpGt( &base, &limit ) );
    }
  }
  else
  {
    bn1024Zero( &limit );
    if( bn1024CmpSignedLt( &base, &limit ) )
    {
      bn1024ShrRound( &bnexp, &bn1024Exp1Inv, BN1024_EXP1INV_SHIFT - shift );
      factorflag = 1;
      do
      {
        bn1024MulShr( &tmp, &factor, &bnexp, shift );
        if( bn1024CmpZero( &tmp ) )
        {
          bn1024CmpZero( dst );
          return;
        }
        bn1024Set( &factor, &tmp );
        bn1024Add( &base, &one );
      } while( bn1024CmpSignedLt( &base, &limit ) );
    }
  }

  bn1024Set32Shl( &limit, 1, shift-4 );
  if( bn1024CmpSignedGt( &base, &limit ) )
  {
    bn1024Set32Shl( &div8, 1, shift-3 );
    if( bn1024CmpNotZero( &div8 ) )
    {
      bn1024ShrRound( &bnexp, &bn1024Exp0p125, BN1024_EXP0P125_SHIFT - shift );
      factorflag = 1;
      do
      {
        if( bn1024MulCheckShr( &tmp, &factor, &bnexp, shift ) )
        {
          bn1024Set( dst, &bn1024InfPos );
          return;
        }
        bn1024Set( &factor, &tmp );
        bn1024Sub( &base, &div8 );
      } while( bn1024CmpSignedGt( &base, &limit ) );
    }
  }

  bn1024SetAdd( dst, &one, &base );
  bn1024Set( &term0, &base );
  for( divisor = 2 ; divisor < BN1024_DIV_TABLE_SIZE ; divisor += 2 )
  {
#ifdef BN1024_USE_INVERSE_DIVISION
    bn1024MulSignedShr( &tmp, &bn1024DivFactor[divisor+0], &base, BN1024_DIV_SHIFT );
#else
    bn1024Set( &tmp, &base );
    bn1024Div32RoundSigned( &tmp, divisor+0 );
#endif
    bn1024MulSignedShr( &term1, &tmp, &term0, shift );
    if( bn1024CmpEqOrZero( &term1, &term0 ) )
      break;
    bn1024Add( dst, &term1 );
#ifdef BN1024_USE_INVERSE_DIVISION
    bn1024MulSignedShr( &tmp, &bn1024DivFactor[divisor+1], &base, BN1024_DIV_SHIFT );
#else
    bn1024Set( &tmp, &base );
    bn1024Div32RoundSigned( &tmp, divisor+1 );
#endif
    bn1024MulSignedShr( &term0, &tmp, &term1, shift );
    if( bn1024CmpEqOrZero( &term0, &term1 ) )
      break;
    bn1024Add( dst, &term0 );
  }
  if( factorflag )
  {
    bn1024MulSignedShr( &tmp, &factor, dst, shift );
    bn1024Set( dst, &tmp );
  }
#ifdef BN1024_PRINT_REPORT
  printf( "Exp Iteration Count : %d\n", (divisor-2)/2 );
#endif

  return;
}


void bn1024Pow( bn1024 *dst, const bn1024 * const src, const bn1024 * const exponent, bnShift shift )
{
  bn1024 tmp, expf;
  bn1024Log( &tmp, src, shift );
  bn1024MulSignedShr( &expf, &tmp, exponent, shift );
  bn1024Exp( dst, &expf, shift );
  return;
}


void bn1024PowInt( bn1024 *dst, const bn1024 * const src, uint32_t exponent, bnShift shift )
{
  uint32_t exlevel, mulflag;
  bn1024 tmp, mul;
  if( exponent == 0 )
  {
    bn1024Set32Shl( dst, 1, shift );
    return;
  }
  mulflag = 0;
  bn1024Set( &mul, src );
  exlevel = 1;
  for( ; ; )
  {
    if( exponent & exlevel )
    {
      if( !( mulflag ) )
      {
        bn1024Set( dst, &mul );
        mulflag = 1;
      }
      else
      {
        bn1024MulSignedShr( &tmp, dst, &mul, shift );
        bn1024Set( dst, &tmp );
      }
      exponent -= exlevel;
      if( !( exponent ) )
        break;
    }
    exlevel <<= 1;
    bn1024SquareShr( &tmp, &mul, shift );
    bn1024Set( &mul, &tmp );
  }
  return;
}


void bn1024Cos( bn1024 *dst, const bn1024 * const src, bnShift shift )
{
  int divisor, negflag, divproduct, msbdiff;
  bn1024 term0, term1, one, tmp, tmp2, base, bn2pi, bnpi, bnhpi, basesq, rem;

  if( bn1024CmpPositive( src ) )
    bn1024Set( &base, src );
  else
    bn1024SetNeg( &base, src );
  bn1024ShrRound( &bn2pi, &bn1024Pi, BN1024_PI_SHIFT-1 - shift );
  if( bn1024CmpGt( &base, &bn2pi ) )
  {
    msbdiff = bn1024GetIndexMSB( &base ) - bn1024GetIndexMSB( &bn2pi );
    if( msbdiff >= 3 )
    {
      bn1024Div( &base, &bn2pi, &rem );
      bn1024Set( &base, &rem );
    }
    else
    {
      for( ; bn1024CmpGt( &base, &bn2pi ) ; )
        bn1024Sub( &base, &bn2pi );
    }
  }
  bn1024ShrRound( &bnpi, &bn1024Pi, BN1024_PI_SHIFT+0 - shift );
  if( bn1024CmpGt( &base, &bnpi ) )
  {
    bn1024SetSub( &tmp, &bn2pi, &base );
    bn1024Set( &base, &tmp );
  }
  negflag = 0;
  bn1024ShrRound( &bnhpi, &bn1024Pi, BN1024_PI_SHIFT+1 - shift );
  if( bn1024CmpGt( &base, &bnhpi ) )
  {
    bn1024SetSub( &tmp, &bnpi, &base );
    bn1024Set( &base, &tmp );
    negflag = 1;
  }

  bn1024Set32Shl( &one, 1, shift );
  bn1024SquareShr( &basesq, &base, shift );
  bn1024Set( dst, &one );
  bn1024SetShr1( &term0, &basesq );
  bn1024Sub( dst, &term0 );
  for( divisor = 4 ; divisor < BN1024_DIV_TABLE_SIZE ; divisor += 4 )
  {
#ifdef BN1024_USE_INVERSE_DIVISION
    divproduct = (divisor-1) * (divisor+0);
    if( divproduct < BN1024_DIV_TABLE_SIZE )
      bn1024MulShr( &tmp, &basesq, &bn1024DivFactor[divproduct], BN1024_DIV_SHIFT );
    else
    {
      bn1024MulShr( &tmp2, &bn1024DivFactor[divisor-1], &bn1024DivFactor[divisor+0], BN1024_DIV_SHIFT );
      bn1024MulShr( &tmp, &basesq, &tmp2, BN1024_DIV_SHIFT );
    }
#else
    bn1024Set( &tmp, &basesq );
    bn1024Div32Round( &tmp, (divisor-1)*(divisor+0) );
#endif
    bn1024MulShr( &term1, &tmp, &term0, shift );
    if( bn1024CmpEqOrZero( &term1, &term0 ) )
      break;
    if( bn1024CmpZero( &term1 ) )
      break;
    bn1024Add( dst, &term1 );
#ifdef BN1024_USE_INVERSE_DIVISION
    divproduct = (divisor+1) * (divisor+2);
    if( divproduct < BN1024_DIV_TABLE_SIZE )
      bn1024MulShr( &tmp, &basesq, &bn1024DivFactor[divproduct], BN1024_DIV_SHIFT );
    else
    {
      bn1024MulShr( &tmp2, &bn1024DivFactor[divisor+1], &bn1024DivFactor[divisor+2], BN1024_DIV_SHIFT );
      bn1024MulShr( &tmp, &basesq, &tmp2, BN1024_DIV_SHIFT );
    }
#else
    bn1024Set( &tmp, &basesq );
    bn1024Div32Round( &tmp, (divisor+1)*(divisor+2) );
#endif
    bn1024MulShr( &term0, &tmp, &term1, shift );
    if( bn1024CmpEqOrZero( &term0, &term1 ) )
      break;
    bn1024Sub( dst, &term0 );
  }
  if( negflag )
    bn1024Neg( dst );
#ifdef BN1024_PRINT_REPORT
  printf( "Cos Iteration Count : %d\n", (divisor-4)/4 );
#endif

  return;
}


void bn1024Sin( bn1024 *dst, const bn1024 * const src, bnShift shift )
{
  bn1024 bncos, bnhpi;
  bn1024ShrRound( &bnhpi, &bn1024Pi, BN1024_PI_SHIFT+1 - shift );
  bn1024SetSub( &bncos, src, &bnhpi );
  bn1024Cos( dst, &bncos, shift );
  return;
}


void bn1024Tan( bn1024 *dst, const bn1024 * const src, bnShift shift )
{
  bn1024 bncos;
  bn1024Cos( &bncos, src, shift );
  if( bn1024CmpNotZero( &bncos ) )
  {
    bn1024Sin( dst, src, shift );
    bn1024DivRoundSignedShl( dst, &bncos, shift );
  }
  else
    bn1024Set( dst, bn1024CmpPositive( src ) ? &bn1024InfPos : &bn1024InfNeg );
  return;
}