| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | /* | ||
| 2 | * arbitrary precision integers | ||
| 3 | * Copyright (c) 2004 Michael Niedermayer <michaelni@gmx.at> | ||
| 4 | * | ||
| 5 | * This file is part of FFmpeg. | ||
| 6 | * | ||
| 7 | * FFmpeg is free software; you can redistribute it and/or | ||
| 8 | * modify it under the terms of the GNU Lesser General Public | ||
| 9 | * License as published by the Free Software Foundation; either | ||
| 10 | * version 2.1 of the License, or (at your option) any later version. | ||
| 11 | * | ||
| 12 | * FFmpeg is distributed in the hope that it will be useful, | ||
| 13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
| 15 | * Lesser General Public License for more details. | ||
| 16 | * | ||
| 17 | * You should have received a copy of the GNU Lesser General Public | ||
| 18 | * License along with FFmpeg; if not, write to the Free Software | ||
| 19 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA | ||
| 20 | */ | ||
| 21 | |||
| 22 | /** | ||
| 23 | * @file | ||
| 24 | * arbitrary precision integers | ||
| 25 | * @author Michael Niedermayer <michaelni@gmx.at> | ||
| 26 | */ | ||
| 27 | |||
| 28 | #include <string.h> | ||
| 29 | |||
| 30 | #include "integer.h" | ||
| 31 | #include "avassert.h" | ||
| 32 | #include "intmath.h" | ||
| 33 | |||
| 34 | static const AVInteger zero_i; | ||
| 35 | |||
| 36 | 786475 | AVInteger av_add_i(AVInteger a, AVInteger b){ | |
| 37 | 786475 | int i, carry=0; | |
| 38 | |||
| 39 |
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7078275 | for(i=0; i<AV_INTEGER_SIZE; i++){ |
| 40 | 6291800 | carry= (carry>>16) + a.v[i] + b.v[i]; | |
| 41 | 6291800 | a.v[i]= carry; | |
| 42 | } | ||
| 43 | 786475 | return a; | |
| 44 | } | ||
| 45 | |||
| 46 | 1365523 | AVInteger av_sub_i(AVInteger a, AVInteger b){ | |
| 47 | 1365523 | int i, carry=0; | |
| 48 | |||
| 49 |
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12289707 | for(i=0; i<AV_INTEGER_SIZE; i++){ |
| 50 | 10924184 | carry= (carry>>16) + a.v[i] - b.v[i]; | |
| 51 | 10924184 | a.v[i]= carry; | |
| 52 | } | ||
| 53 | 1365523 | return a; | |
| 54 | } | ||
| 55 | |||
| 56 | 3937904 | int av_log2_i(AVInteger a){ | |
| 57 | int i; | ||
| 58 | |||
| 59 |
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27576928 | for(i=AV_INTEGER_SIZE-1; i>=0; i--){ |
| 60 |
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27576766 | if(a.v[i]) |
| 61 | 3937742 | return av_log2_16bit(a.v[i]) + 16*i; | |
| 62 | } | ||
| 63 | 162 | return -1; | |
| 64 | } | ||
| 65 | |||
| 66 | 787954 | AVInteger av_mul_i(AVInteger a, AVInteger b){ | |
| 67 | AVInteger out; | ||
| 68 | int i, j; | ||
| 69 | 787954 | int na= (av_log2_i(a)+16) >> 4; | |
| 70 | 787954 | int nb= (av_log2_i(b)+16) >> 4; | |
| 71 | |||
| 72 | 787954 | memset(&out, 0, sizeof(out)); | |
| 73 | |||
| 74 |
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2362366 | for(i=0; i<na; i++){ |
| 75 | 1574412 | unsigned int carry=0; | |
| 76 | |||
| 77 |
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1574412 | if(a.v[i]) |
| 78 |
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6285602 | for(j=i; j<AV_INTEGER_SIZE && j-i<=nb; j++){ |
| 79 | 4711931 | carry= (carry>>16) + out.v[j] + a.v[i]*(unsigned)b.v[j-i]; | |
| 80 | 4711931 | out.v[j]= carry; | |
| 81 | } | ||
| 82 | } | ||
| 83 | |||
| 84 | 787954 | return out; | |
| 85 | } | ||
| 86 | |||
| 87 | 1116911 | int av_cmp_i(AVInteger a, AVInteger b){ | |
| 88 | int i; | ||
| 89 | 1116911 | int v= (int16_t)a.v[AV_INTEGER_SIZE-1] - (int16_t)b.v[AV_INTEGER_SIZE-1]; | |
| 90 |
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1116911 | if(v) return (v>>16)|1; |
| 91 | |||
| 92 |
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6672601 | for(i=AV_INTEGER_SIZE-2; i>=0; i--){ |
| 93 | 6671218 | int v= a.v[i] - b.v[i]; | |
| 94 |
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6671218 | if(v) return (v>>16)|1; |
| 95 | } | ||
| 96 | 1383 | return 0; | |
| 97 | } | ||
| 98 | |||
| 99 | 5635343 | AVInteger av_shr_i(AVInteger a, int s){ | |
| 100 | AVInteger out; | ||
| 101 | int i; | ||
| 102 | |||
| 103 |
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50718087 | for(i=0; i<AV_INTEGER_SIZE; i++){ |
| 104 | 45082744 | unsigned int index= i + (s>>4); | |
| 105 | 45082744 | unsigned int v=0; | |
| 106 |
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45082744 | if (index + 1 < AV_INTEGER_SIZE) v = a.v[index + 1] * (1U << 16); |
| 107 |
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45082744 | if (index < AV_INTEGER_SIZE) v |= a.v[index]; |
| 108 | 45082744 | out.v[i]= v >> (s&15); | |
| 109 | } | ||
| 110 | 5635343 | return out; | |
| 111 | } | ||
| 112 | |||
| 113 | 787933 | AVInteger av_mod_i(AVInteger *quot, AVInteger a, AVInteger b){ | |
| 114 | 787933 | int i= av_log2_i(a) - av_log2_i(b); | |
| 115 | AVInteger quot_temp; | ||
| 116 |
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787933 | if(!quot) quot = "_temp; |
| 117 | |||
| 118 |
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787933 | if ((int16_t)a.v[AV_INTEGER_SIZE-1] < 0) { |
| 119 | 324 | a = av_mod_i(quot, av_sub_i(zero_i, a), b); | |
| 120 | 324 | *quot = av_sub_i(zero_i, *quot); | |
| 121 | 324 | return av_sub_i(zero_i, a); | |
| 122 | } | ||
| 123 | |||
| 124 | av_assert2((int16_t)a.v[AV_INTEGER_SIZE-1] >= 0 && (int16_t)b.v[AV_INTEGER_SIZE-1] >= 0); | ||
| 125 | av_assert2(av_log2_i(b)>=0); | ||
| 126 | |||
| 127 |
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787609 | if(i > 0) |
| 128 | 263750 | b= av_shr_i(b, -i); | |
| 129 | |||
| 130 | 787609 | memset(quot, 0, sizeof(AVInteger)); | |
| 131 | |||
| 132 |
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1900973 | while(i-- >= 0){ |
| 133 | 1113364 | *quot= av_shr_i(*quot, -1); | |
| 134 |
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1113364 | if(av_cmp_i(a, b) >= 0){ |
| 135 | 578421 | a= av_sub_i(a, b); | |
| 136 | 578421 | quot->v[0] += 1; | |
| 137 | } | ||
| 138 | 1113364 | b= av_shr_i(b, 1); | |
| 139 | } | ||
| 140 | 787609 | return a; | |
| 141 | } | ||
| 142 | |||
| 143 | 787609 | AVInteger av_div_i(AVInteger a, AVInteger b){ | |
| 144 | AVInteger quot; | ||
| 145 | 787609 | av_mod_i(", a, b); | |
| 146 | 787609 | return quot; | |
| 147 | } | ||
| 148 | |||
| 149 | 1580589 | AVInteger av_int2i(int64_t a){ | |
| 150 | AVInteger out; | ||
| 151 | int i; | ||
| 152 | |||
| 153 |
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14225301 | for(i=0; i<AV_INTEGER_SIZE; i++){ |
| 154 | 12644712 | out.v[i]= a; | |
| 155 | 12644712 | a>>=16; | |
| 156 | } | ||
| 157 | 1580589 | return out; | |
| 158 | } | ||
| 159 | |||
| 160 | 7861645 | int64_t av_i2int(AVInteger a){ | |
| 161 | 7861645 | uint64_t out = a.v[3]; | |
| 162 | |||
| 163 |
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31446580 | for (int i = 2; i >= 0; i--) |
| 164 | 23584935 | out = (out << 16) | a.v[i]; | |
| 165 | 7861645 | return out; | |
| 166 | } | ||
| 167 |