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 "basearith.h" |
31 | #include "constants.h" |
32 | |
33 | |
34 | #if defined(CONFIG_64) |
35 | |
36 | /* number-theory.c */ |
37 | const mpd_uint_t mpd_moduli[3] = { |
38 | 18446744069414584321ULL, 18446744056529682433ULL, 18446742974197923841ULL |
39 | }; |
40 | const mpd_uint_t mpd_roots[3] = {7ULL, 10ULL, 19ULL}; |
41 | |
42 | /* crt.c */ |
43 | const mpd_uint_t INV_P1_MOD_P2 = 18446744055098026669ULL; |
44 | const mpd_uint_t INV_P1P2_MOD_P3 = 287064143708160ULL; |
45 | const mpd_uint_t LH_P1P2 = 18446744052234715137ULL; /* (P1*P2) % 2^64 */ |
46 | const mpd_uint_t UH_P1P2 = 18446744052234715141ULL; /* (P1*P2) / 2^64 */ |
47 | |
48 | /* transpose.c */ |
49 | const mpd_size_t mpd_bits[64] = { |
50 | 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, |
51 | 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, |
52 | 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824, |
53 | 2147483648ULL, 4294967296ULL, 8589934592ULL, 17179869184ULL, 34359738368ULL, |
54 | 68719476736ULL, 137438953472ULL, 274877906944ULL, 549755813888ULL, |
55 | 1099511627776ULL, 2199023255552ULL, 4398046511104, 8796093022208ULL, |
56 | 17592186044416ULL, 35184372088832ULL, 70368744177664ULL, 140737488355328ULL, |
57 | 281474976710656ULL, 562949953421312ULL, 1125899906842624ULL, |
58 | 2251799813685248ULL, 4503599627370496ULL, 9007199254740992ULL, |
59 | 18014398509481984ULL, 36028797018963968ULL, 72057594037927936ULL, |
60 | 144115188075855872ULL, 288230376151711744ULL, 576460752303423488ULL, |
61 | 1152921504606846976ULL, 2305843009213693952ULL, 4611686018427387904ULL, |
62 | 9223372036854775808ULL |
63 | }; |
64 | |
65 | /* mpdecimal.c */ |
66 | const mpd_uint_t mpd_pow10[MPD_RDIGITS+1] = { |
67 | 1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000, |
68 | 10000000000ULL,100000000000ULL,1000000000000ULL,10000000000000ULL, |
69 | 100000000000000ULL,1000000000000000ULL,10000000000000000ULL, |
70 | 100000000000000000ULL,1000000000000000000ULL,10000000000000000000ULL |
71 | }; |
72 | |
73 | /* magic number for constant division by MPD_RADIX */ |
74 | const mpd_uint_t mprime_rdx = 15581492618384294730ULL; |
75 | |
76 | #elif defined(CONFIG_32) |
77 | |
78 | /* number-theory.c */ |
79 | const mpd_uint_t mpd_moduli[3] = {2113929217UL, 2013265921UL, 1811939329UL}; |
80 | const mpd_uint_t mpd_roots[3] = {5UL, 31UL, 13UL}; |
81 | |
82 | /* PentiumPro modular multiplication: These constants have to be loaded as |
83 | * 80 bit long doubles, which are not supported by certain compilers. */ |
84 | const uint32_t mpd_invmoduli[3][3] = { |
85 | {4293885170U, 2181570688U, 16352U}, /* ((long double) 1 / 2113929217UL) */ |
86 | {1698898177U, 2290649223U, 16352U}, /* ((long double) 1 / 2013265921UL) */ |
87 | {2716021846U, 2545165803U, 16352U} /* ((long double) 1 / 1811939329UL) */ |
88 | }; |
89 | |
90 | const float MPD_TWO63 = 9223372036854775808.0; /* 2^63 */ |
91 | |
92 | /* crt.c */ |
93 | const mpd_uint_t INV_P1_MOD_P2 = 2013265901UL; |
94 | const mpd_uint_t INV_P1P2_MOD_P3 = 54UL; |
95 | const mpd_uint_t LH_P1P2 = 4127195137UL; /* (P1*P2) % 2^32 */ |
96 | const mpd_uint_t UH_P1P2 = 990904320UL; /* (P1*P2) / 2^32 */ |
97 | |
98 | /* transpose.c */ |
99 | const mpd_size_t mpd_bits[32] = { |
100 | 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, |
101 | 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, |
102 | 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824, |
103 | 2147483648UL |
104 | }; |
105 | |
106 | /* mpdecimal.c */ |
107 | const mpd_uint_t mpd_pow10[MPD_RDIGITS+1] = { |
108 | 1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000 |
109 | }; |
110 | |
111 | #else |
112 | #error "CONFIG_64 or CONFIG_32 must be defined." |
113 | #endif |
114 | |
115 | const char * const mpd_round_string[MPD_ROUND_GUARD] = { |
116 | "ROUND_UP" , /* round away from 0 */ |
117 | "ROUND_DOWN" , /* round toward 0 (truncate) */ |
118 | "ROUND_CEILING" , /* round toward +infinity */ |
119 | "ROUND_FLOOR" , /* round toward -infinity */ |
120 | "ROUND_HALF_UP" , /* 0.5 is rounded up */ |
121 | "ROUND_HALF_DOWN" , /* 0.5 is rounded down */ |
122 | "ROUND_HALF_EVEN" , /* 0.5 is rounded to even */ |
123 | "ROUND_05UP" , /* round zero or five away from 0 */ |
124 | "ROUND_TRUNC" , /* truncate, but set infinity */ |
125 | }; |
126 | |
127 | const char * const mpd_clamp_string[MPD_CLAMP_GUARD] = { |
128 | "CLAMP_DEFAULT" , |
129 | "CLAMP_IEEE_754" |
130 | }; |
131 | |