1 /* 2 * Copyright (c) 2008-2020 Stefan Krah. All rights reserved. 3 * 4 * Redistribution and use in source and binary forms, with or without 5 * modification, are permitted provided that the following conditions 6 * are met: 7 * 8 * 1. Redistributions of source code must retain the above copyright 9 * notice, this list of conditions and the following disclaimer. 10 * 11 * 2. Redistributions in binary form must reproduce the above copyright 12 * notice, this list of conditions and the following disclaimer in the 13 * documentation and/or other materials provided with the distribution. 14 * 15 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS "AS IS" AND 16 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 18 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 19 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 20 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 21 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 22 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 23 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 24 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 25 * SUCH DAMAGE. 26 */ 27 28 29 #include "mpdecimal.h" 30 #include "constants.h" 31 32 33 #if defined(CONFIG_64) 34 35 /* number-theory.c */ 36 const mpd_uint_t mpd_moduli[3] = { 37 18446744069414584321ULL, 18446744056529682433ULL, 18446742974197923841ULL 38 }; 39 const mpd_uint_t mpd_roots[3] = {7ULL, 10ULL, 19ULL}; 40 41 /* crt.c */ 42 const mpd_uint_t INV_P1_MOD_P2 = 18446744055098026669ULL; 43 const mpd_uint_t INV_P1P2_MOD_P3 = 287064143708160ULL; 44 const mpd_uint_t LH_P1P2 = 18446744052234715137ULL; /* (P1*P2) % 2^64 */ 45 const mpd_uint_t UH_P1P2 = 18446744052234715141ULL; /* (P1*P2) / 2^64 */ 46 47 /* transpose.c */ 48 const mpd_size_t mpd_bits[64] = { 49 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 50 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 51 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824, 52 2147483648ULL, 4294967296ULL, 8589934592ULL, 17179869184ULL, 34359738368ULL, 53 68719476736ULL, 137438953472ULL, 274877906944ULL, 549755813888ULL, 54 1099511627776ULL, 2199023255552ULL, 4398046511104, 8796093022208ULL, 55 17592186044416ULL, 35184372088832ULL, 70368744177664ULL, 140737488355328ULL, 56 281474976710656ULL, 562949953421312ULL, 1125899906842624ULL, 57 2251799813685248ULL, 4503599627370496ULL, 9007199254740992ULL, 58 18014398509481984ULL, 36028797018963968ULL, 72057594037927936ULL, 59 144115188075855872ULL, 288230376151711744ULL, 576460752303423488ULL, 60 1152921504606846976ULL, 2305843009213693952ULL, 4611686018427387904ULL, 61 9223372036854775808ULL 62 }; 63 64 /* mpdecimal.c */ 65 const mpd_uint_t mpd_pow10[MPD_RDIGITS+1] = { 66 1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000, 67 10000000000ULL,100000000000ULL,1000000000000ULL,10000000000000ULL, 68 100000000000000ULL,1000000000000000ULL,10000000000000000ULL, 69 100000000000000000ULL,1000000000000000000ULL,10000000000000000000ULL 70 }; 71 72 /* magic number for constant division by MPD_RADIX */ 73 const mpd_uint_t mprime_rdx = 15581492618384294730ULL; 74 75 #elif defined(CONFIG_32) 76 77 /* number-theory.c */ 78 const mpd_uint_t mpd_moduli[3] = {2113929217UL, 2013265921UL, 1811939329UL}; 79 const mpd_uint_t mpd_roots[3] = {5UL, 31UL, 13UL}; 80 81 /* PentiumPro modular multiplication: These constants have to be loaded as 82 * 80 bit long doubles, which are not supported by certain compilers. */ 83 const uint32_t mpd_invmoduli[3][3] = { 84 {4293885170U, 2181570688U, 16352U}, /* ((long double) 1 / 2113929217UL) */ 85 {1698898177U, 2290649223U, 16352U}, /* ((long double) 1 / 2013265921UL) */ 86 {2716021846U, 2545165803U, 16352U} /* ((long double) 1 / 1811939329UL) */ 87 }; 88 89 const float MPD_TWO63 = 9223372036854775808.0; /* 2^63 */ 90 91 /* crt.c */ 92 const mpd_uint_t INV_P1_MOD_P2 = 2013265901UL; 93 const mpd_uint_t INV_P1P2_MOD_P3 = 54UL; 94 const mpd_uint_t LH_P1P2 = 4127195137UL; /* (P1*P2) % 2^32 */ 95 const mpd_uint_t UH_P1P2 = 990904320UL; /* (P1*P2) / 2^32 */ 96 97 /* transpose.c */ 98 const mpd_size_t mpd_bits[32] = { 99 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 100 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 101 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824, 102 2147483648UL 103 }; 104 105 /* mpdecimal.c */ 106 const mpd_uint_t mpd_pow10[MPD_RDIGITS+1] = { 107 1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000 108 }; 109 110 #else 111 #error "CONFIG_64 or CONFIG_32 must be defined." 112 #endif 113 114 const char *mpd_round_string[MPD_ROUND_GUARD] = { 115 "ROUND_UP", /* round away from 0 */ 116 "ROUND_DOWN", /* round toward 0 (truncate) */ 117 "ROUND_CEILING", /* round toward +infinity */ 118 "ROUND_FLOOR", /* round toward -infinity */ 119 "ROUND_HALF_UP", /* 0.5 is rounded up */ 120 "ROUND_HALF_DOWN", /* 0.5 is rounded down */ 121 "ROUND_HALF_EVEN", /* 0.5 is rounded to even */ 122 "ROUND_05UP", /* round zero or five away from 0 */ 123 "ROUND_TRUNC", /* truncate, but set infinity */ 124 }; 125 126 const char *mpd_clamp_string[MPD_CLAMP_GUARD] = { 127 "CLAMP_DEFAULT", 128 "CLAMP_IEEE_754" 129 }; 130