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/*
* Copyright (c) 2008-2020 Stefan Krah. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS "AS IS" AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#include "mpdecimal.h"
#include "basearith.h"
#include "constants.h"
#if defined(CONFIG_64)
/* number-theory.c */
const mpd_uint_t mpd_moduli[3] = {
18446744069414584321ULL, 18446744056529682433ULL, 18446742974197923841ULL
};
const mpd_uint_t mpd_roots[3] = {7ULL, 10ULL, 19ULL};
/* crt.c */
const mpd_uint_t INV_P1_MOD_P2 = 18446744055098026669ULL;
const mpd_uint_t INV_P1P2_MOD_P3 = 287064143708160ULL;
const mpd_uint_t LH_P1P2 = 18446744052234715137ULL; /* (P1*P2) % 2^64 */
const mpd_uint_t UH_P1P2 = 18446744052234715141ULL; /* (P1*P2) / 2^64 */
/* transpose.c */
const mpd_size_t mpd_bits[64] = {
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384,
32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608,
16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824,
2147483648ULL, 4294967296ULL, 8589934592ULL, 17179869184ULL, 34359738368ULL,
68719476736ULL, 137438953472ULL, 274877906944ULL, 549755813888ULL,
1099511627776ULL, 2199023255552ULL, 4398046511104, 8796093022208ULL,
17592186044416ULL, 35184372088832ULL, 70368744177664ULL, 140737488355328ULL,
281474976710656ULL, 562949953421312ULL, 1125899906842624ULL,
2251799813685248ULL, 4503599627370496ULL, 9007199254740992ULL,
18014398509481984ULL, 36028797018963968ULL, 72057594037927936ULL,
144115188075855872ULL, 288230376151711744ULL, 576460752303423488ULL,
1152921504606846976ULL, 2305843009213693952ULL, 4611686018427387904ULL,
9223372036854775808ULL
};
/* mpdecimal.c */
const mpd_uint_t mpd_pow10[MPD_RDIGITS+1] = {
1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000,
10000000000ULL,100000000000ULL,1000000000000ULL,10000000000000ULL,
100000000000000ULL,1000000000000000ULL,10000000000000000ULL,
100000000000000000ULL,1000000000000000000ULL,10000000000000000000ULL
};
/* magic number for constant division by MPD_RADIX */
const mpd_uint_t mprime_rdx = 15581492618384294730ULL;
#elif defined(CONFIG_32)
/* number-theory.c */
const mpd_uint_t mpd_moduli[3] = {2113929217UL, 2013265921UL, 1811939329UL};
const mpd_uint_t mpd_roots[3] = {5UL, 31UL, 13UL};
/* PentiumPro modular multiplication: These constants have to be loaded as
* 80 bit long doubles, which are not supported by certain compilers. */
const uint32_t mpd_invmoduli[3][3] = {
{4293885170U, 2181570688U, 16352U}, /* ((long double) 1 / 2113929217UL) */
{1698898177U, 2290649223U, 16352U}, /* ((long double) 1 / 2013265921UL) */
{2716021846U, 2545165803U, 16352U} /* ((long double) 1 / 1811939329UL) */
};
const float MPD_TWO63 = 9223372036854775808.0; /* 2^63 */
/* crt.c */
const mpd_uint_t INV_P1_MOD_P2 = 2013265901UL;
const mpd_uint_t INV_P1P2_MOD_P3 = 54UL;
const mpd_uint_t LH_P1P2 = 4127195137UL; /* (P1*P2) % 2^32 */
const mpd_uint_t UH_P1P2 = 990904320UL; /* (P1*P2) / 2^32 */
/* transpose.c */
const mpd_size_t mpd_bits[32] = {
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384,
32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608,
16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824,
2147483648UL
};
/* mpdecimal.c */
const mpd_uint_t mpd_pow10[MPD_RDIGITS+1] = {
1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000
};
#else
#error "CONFIG_64 or CONFIG_32 must be defined."
#endif
const char * const mpd_round_string[MPD_ROUND_GUARD] = {
"ROUND_UP", /* round away from 0 */
"ROUND_DOWN", /* round toward 0 (truncate) */
"ROUND_CEILING", /* round toward +infinity */
"ROUND_FLOOR", /* round toward -infinity */
"ROUND_HALF_UP", /* 0.5 is rounded up */
"ROUND_HALF_DOWN", /* 0.5 is rounded down */
"ROUND_HALF_EVEN", /* 0.5 is rounded to even */
"ROUND_05UP", /* round zero or five away from 0 */
"ROUND_TRUNC", /* truncate, but set infinity */
};
const char * const mpd_clamp_string[MPD_CLAMP_GUARD] = {
"CLAMP_DEFAULT",
"CLAMP_IEEE_754"
};
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