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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 | 786465 | AVInteger av_add_i(AVInteger a, AVInteger b){ | |
37 | 786465 | int i, carry=0; | |
38 | |||
39 |
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7078185 | for(i=0; i<AV_INTEGER_SIZE; i++){ |
40 | 6291720 | carry= (carry>>16) + a.v[i] + b.v[i]; | |
41 | 6291720 | a.v[i]= carry; | |
42 | } | ||
43 | 786465 | return a; | |
44 | } | ||
45 | |||
46 | 1344552 | AVInteger av_sub_i(AVInteger a, AVInteger b){ | |
47 | 1344552 | int i, carry=0; | |
48 | |||
49 |
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12100968 | for(i=0; i<AV_INTEGER_SIZE; i++){ |
50 | 10756416 | carry= (carry>>16) + a.v[i] - b.v[i]; | |
51 | 10756416 | a.v[i]= carry; | |
52 | } | ||
53 | 1344552 | return a; | |
54 | } | ||
55 | |||
56 | 3932660 | int av_log2_i(AVInteger a){ | |
57 | int i; | ||
58 | |||
59 |
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27546804 | for(i=AV_INTEGER_SIZE-1; i>=0; i--){ |
60 |
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27546804 | if(a.v[i]) |
61 | 3932660 | return av_log2_16bit(a.v[i]) + 16*i; | |
62 | } | ||
63 | ✗ | return -1; | |
64 | } | ||
65 | |||
66 | 786800 | AVInteger av_mul_i(AVInteger a, AVInteger b){ | |
67 | AVInteger out; | ||
68 | int i, j; | ||
69 | 786800 | int na= (av_log2_i(a)+16) >> 4; | |
70 | 786800 | int nb= (av_log2_i(b)+16) >> 4; | |
71 | |||
72 | 786800 | memset(&out, 0, sizeof(out)); | |
73 | |||
74 |
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2356970 | for(i=0; i<na; i++){ |
75 | 1570170 | unsigned int carry=0; | |
76 | |||
77 |
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1570170 | if(a.v[i]) |
78 |
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6272066 | for(j=i; j<AV_INTEGER_SIZE && j-i<=nb; j++){ |
79 | 4701908 | carry= (carry>>16) + out.v[j] + a.v[i]*(unsigned)b.v[j-i]; | |
80 | 4701908 | out.v[j]= carry; | |
81 | } | ||
82 | } | ||
83 | |||
84 | 786800 | return out; | |
85 | } | ||
86 | |||
87 | 1075967 | int av_cmp_i(AVInteger a, AVInteger b){ | |
88 | int i; | ||
89 | 1075967 | int v= (int16_t)a.v[AV_INTEGER_SIZE-1] - (int16_t)b.v[AV_INTEGER_SIZE-1]; | |
90 |
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1075967 | if(v) return (v>>16)|1; |
91 | |||
92 |
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6497930 | for(i=AV_INTEGER_SIZE-2; i>=0; i--){ |
93 | 6497925 | int v= a.v[i] - b.v[i]; | |
94 |
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6497925 | if(v) return (v>>16)|1; |
95 | } | ||
96 | 5 | return 0; | |
97 | } | ||
98 | |||
99 | 5558994 | AVInteger av_shr_i(AVInteger a, int s){ | |
100 | AVInteger out; | ||
101 | int i; | ||
102 | |||
103 |
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50030946 | for(i=0; i<AV_INTEGER_SIZE; i++){ |
104 | 44471952 | unsigned int index= i + (s>>4); | |
105 | 44471952 | unsigned int v=0; | |
106 |
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44471952 | if (index + 1 < AV_INTEGER_SIZE) v = a.v[index + 1] * (1U << 16); |
107 |
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44471952 | if (index < AV_INTEGER_SIZE) v |= a.v[index]; |
108 | 44471952 | out.v[i]= v >> (s&15); | |
109 | } | ||
110 | 5558994 | return out; | |
111 | } | ||
112 | |||
113 | 786465 | AVInteger av_mod_i(AVInteger *quot, AVInteger a, AVInteger b){ | |
114 | 786465 | int i= av_log2_i(a) - av_log2_i(b); | |
115 | AVInteger quot_temp; | ||
116 |
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786465 | if(!quot) quot = "_temp; |
117 | |||
118 |
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786465 | if ((int16_t)a.v[AV_INTEGER_SIZE-1] < 0) { |
119 | ✗ | a = av_mod_i(quot, av_sub_i(zero_i, a), b); | |
120 | ✗ | *quot = av_sub_i(zero_i, *quot); | |
121 | ✗ | 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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786465 | if(i > 0) |
128 | 262875 | b= av_shr_i(b, -i); | |
129 | |||
130 | 786465 | memset(quot, 0, sizeof(AVInteger)); | |
131 | |||
132 |
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1862097 | while(i-- >= 0){ |
133 | 1075632 | *quot= av_shr_i(*quot, -1); | |
134 |
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1075632 | if(av_cmp_i(a, b) >= 0){ |
135 | 558422 | a= av_sub_i(a, b); | |
136 | 558422 | quot->v[0] += 1; | |
137 | } | ||
138 | 1075632 | b= av_shr_i(b, 1); | |
139 | } | ||
140 | 786465 | return a; | |
141 | } | ||
142 | |||
143 | 786465 | AVInteger av_div_i(AVInteger a, AVInteger b){ | |
144 | AVInteger quot; | ||
145 | 786465 | av_mod_i(", a, b); | |
146 | 786465 | return quot; | |
147 | } | ||
148 | |||
149 | 1573935 | AVInteger av_int2i(int64_t a){ | |
150 | AVInteger out; | ||
151 | int i; | ||
152 | |||
153 |
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14165415 | for(i=0; i<AV_INTEGER_SIZE; i++){ |
154 | 12591480 | out.v[i]= a; | |
155 | 12591480 | a>>=16; | |
156 | } | ||
157 | 1573935 | return out; | |
158 | } | ||
159 | |||
160 | 7861635 | int64_t av_i2int(AVInteger a){ | |
161 | 7861635 | uint64_t out = a.v[3]; | |
162 | |||
163 |
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31446540 | for (int i = 2; i >= 0; i--) |
164 | 23584905 | out = (out << 16) | a.v[i]; | |
165 | 7861635 | return out; | |
166 | } | ||
167 |