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1 | /* |
2 | * Copyright (c) 2005-2012 Michael Niedermayer <michaelni@gmx.at> | |
3 | * | |
4 | * This file is part of FFmpeg. | |
5 | * | |
6 | * FFmpeg is free software; you can redistribute it and/or | |
7 | * modify it under the terms of the GNU Lesser General Public | |
8 | * License as published by the Free Software Foundation; either | |
9 | * version 2.1 of the License, or (at your option) any later version. | |
10 | * | |
11 | * FFmpeg is distributed in the hope that it will be useful, | |
12 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | |
13 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
14 | * Lesser General Public License for more details. | |
15 | * | |
16 | * You should have received a copy of the GNU Lesser General Public | |
17 | * License along with FFmpeg; if not, write to the Free Software | |
18 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA | |
19 | */ | |
20 | ||
21 | /** | |
22 | * @file | |
23 | * miscellaneous math routines and tables | |
24 | */ | |
25 | ||
26 | #include <stdint.h> | |
27 | #include <limits.h> | |
28 | ||
29 | #include "mathematics.h" | |
30 | #include "libavutil/common.h" | |
31 | #include "avassert.h" | |
32 | #include "version.h" | |
33 | ||
34 | #if FF_API_AV_REVERSE | |
35 | const uint8_t av_reverse[256] = { | |
36 | 0x00,0x80,0x40,0xC0,0x20,0xA0,0x60,0xE0,0x10,0x90,0x50,0xD0,0x30,0xB0,0x70,0xF0, | |
37 | 0x08,0x88,0x48,0xC8,0x28,0xA8,0x68,0xE8,0x18,0x98,0x58,0xD8,0x38,0xB8,0x78,0xF8, | |
38 | 0x04,0x84,0x44,0xC4,0x24,0xA4,0x64,0xE4,0x14,0x94,0x54,0xD4,0x34,0xB4,0x74,0xF4, | |
39 | 0x0C,0x8C,0x4C,0xCC,0x2C,0xAC,0x6C,0xEC,0x1C,0x9C,0x5C,0xDC,0x3C,0xBC,0x7C,0xFC, | |
40 | 0x02,0x82,0x42,0xC2,0x22,0xA2,0x62,0xE2,0x12,0x92,0x52,0xD2,0x32,0xB2,0x72,0xF2, | |
41 | 0x0A,0x8A,0x4A,0xCA,0x2A,0xAA,0x6A,0xEA,0x1A,0x9A,0x5A,0xDA,0x3A,0xBA,0x7A,0xFA, | |
42 | 0x06,0x86,0x46,0xC6,0x26,0xA6,0x66,0xE6,0x16,0x96,0x56,0xD6,0x36,0xB6,0x76,0xF6, | |
43 | 0x0E,0x8E,0x4E,0xCE,0x2E,0xAE,0x6E,0xEE,0x1E,0x9E,0x5E,0xDE,0x3E,0xBE,0x7E,0xFE, | |
44 | 0x01,0x81,0x41,0xC1,0x21,0xA1,0x61,0xE1,0x11,0x91,0x51,0xD1,0x31,0xB1,0x71,0xF1, | |
45 | 0x09,0x89,0x49,0xC9,0x29,0xA9,0x69,0xE9,0x19,0x99,0x59,0xD9,0x39,0xB9,0x79,0xF9, | |
46 | 0x05,0x85,0x45,0xC5,0x25,0xA5,0x65,0xE5,0x15,0x95,0x55,0xD5,0x35,0xB5,0x75,0xF5, | |
47 | 0x0D,0x8D,0x4D,0xCD,0x2D,0xAD,0x6D,0xED,0x1D,0x9D,0x5D,0xDD,0x3D,0xBD,0x7D,0xFD, | |
48 | 0x03,0x83,0x43,0xC3,0x23,0xA3,0x63,0xE3,0x13,0x93,0x53,0xD3,0x33,0xB3,0x73,0xF3, | |
49 | 0x0B,0x8B,0x4B,0xCB,0x2B,0xAB,0x6B,0xEB,0x1B,0x9B,0x5B,0xDB,0x3B,0xBB,0x7B,0xFB, | |
50 | 0x07,0x87,0x47,0xC7,0x27,0xA7,0x67,0xE7,0x17,0x97,0x57,0xD7,0x37,0xB7,0x77,0xF7, | |
51 | 0x0F,0x8F,0x4F,0xCF,0x2F,0xAF,0x6F,0xEF,0x1F,0x9F,0x5F,0xDF,0x3F,0xBF,0x7F,0xFF, | |
52 | }; | |
53 | #endif | |
54 | ||
55 | int64_t av_gcd(int64_t a, int64_t b) | |
56 | { | |
57 | if (b) | |
58 | return av_gcd(b, a % b); | |
59 | else | |
60 | return a; | |
61 | } | |
62 | ||
63 | int64_t av_rescale_rnd(int64_t a, int64_t b, int64_t c, enum AVRounding rnd) | |
64 | { | |
65 | int64_t r = 0; | |
66 | av_assert2(c > 0); | |
67 | av_assert2(b >=0); | |
68 | av_assert2((unsigned)(rnd&~AV_ROUND_PASS_MINMAX)<=5 && (rnd&~AV_ROUND_PASS_MINMAX)!=4); | |
69 | ||
70 | if (c <= 0 || b < 0 || !((unsigned)(rnd&~AV_ROUND_PASS_MINMAX)<=5 && (rnd&~AV_ROUND_PASS_MINMAX)!=4)) | |
71 | return INT64_MIN; | |
72 | ||
73 | if (rnd & AV_ROUND_PASS_MINMAX) { | |
74 | if (a == INT64_MIN || a == INT64_MAX) | |
75 | return a; | |
76 | rnd -= AV_ROUND_PASS_MINMAX; | |
77 | } | |
78 | ||
79 | if (a < 0 && a != INT64_MIN) | |
80 | return -av_rescale_rnd(-a, b, c, rnd ^ ((rnd >> 1) & 1)); | |
81 | ||
82 | if (rnd == AV_ROUND_NEAR_INF) | |
83 | r = c / 2; | |
84 | else if (rnd & 1) | |
85 | r = c - 1; | |
86 | ||
87 | if (b <= INT_MAX && c <= INT_MAX) { | |
88 | if (a <= INT_MAX) | |
89 | return (a * b + r) / c; | |
90 | else | |
91 | return a / c * b + (a % c * b + r) / c; | |
92 | } else { | |
93 | #if 1 | |
94 | uint64_t a0 = a & 0xFFFFFFFF; | |
95 | uint64_t a1 = a >> 32; | |
96 | uint64_t b0 = b & 0xFFFFFFFF; | |
97 | uint64_t b1 = b >> 32; | |
98 | uint64_t t1 = a0 * b1 + a1 * b0; | |
99 | uint64_t t1a = t1 << 32; | |
100 | int i; | |
101 | ||
102 | a0 = a0 * b0 + t1a; | |
103 | a1 = a1 * b1 + (t1 >> 32) + (a0 < t1a); | |
104 | a0 += r; | |
105 | a1 += a0 < r; | |
106 | ||
107 | for (i = 63; i >= 0; i--) { | |
108 | a1 += a1 + ((a0 >> i) & 1); | |
109 | t1 += t1; | |
110 | if (c <= a1) { | |
111 | a1 -= c; | |
112 | t1++; | |
113 | } | |
114 | } | |
115 | return t1; | |
116 | } | |
117 | #else | |
118 | AVInteger ai; | |
119 | ai = av_mul_i(av_int2i(a), av_int2i(b)); | |
120 | ai = av_add_i(ai, av_int2i(r)); | |
121 | ||
122 | return av_i2int(av_div_i(ai, av_int2i(c))); | |
123 | } | |
124 | #endif | |
125 | } | |
126 | ||
127 | int64_t av_rescale(int64_t a, int64_t b, int64_t c) | |
128 | { | |
129 | return av_rescale_rnd(a, b, c, AV_ROUND_NEAR_INF); | |
130 | } | |
131 | ||
132 | int64_t av_rescale_q_rnd(int64_t a, AVRational bq, AVRational cq, | |
133 | enum AVRounding rnd) | |
134 | { | |
135 | int64_t b = bq.num * (int64_t)cq.den; | |
136 | int64_t c = cq.num * (int64_t)bq.den; | |
137 | return av_rescale_rnd(a, b, c, rnd); | |
138 | } | |
139 | ||
140 | int64_t av_rescale_q(int64_t a, AVRational bq, AVRational cq) | |
141 | { | |
142 | return av_rescale_q_rnd(a, bq, cq, AV_ROUND_NEAR_INF); | |
143 | } | |
144 | ||
145 | int av_compare_ts(int64_t ts_a, AVRational tb_a, int64_t ts_b, AVRational tb_b) | |
146 | { | |
147 | int64_t a = tb_a.num * (int64_t)tb_b.den; | |
148 | int64_t b = tb_b.num * (int64_t)tb_a.den; | |
149 | if ((FFABS(ts_a)|a|FFABS(ts_b)|b) <= INT_MAX) | |
150 | return (ts_a*a > ts_b*b) - (ts_a*a < ts_b*b); | |
151 | if (av_rescale_rnd(ts_a, a, b, AV_ROUND_DOWN) < ts_b) | |
152 | return -1; | |
153 | if (av_rescale_rnd(ts_b, b, a, AV_ROUND_DOWN) < ts_a) | |
154 | return 1; | |
155 | return 0; | |
156 | } | |
157 | ||
158 | int64_t av_compare_mod(uint64_t a, uint64_t b, uint64_t mod) | |
159 | { | |
160 | int64_t c = (a - b) & (mod - 1); | |
161 | if (c > (mod >> 1)) | |
162 | c -= mod; | |
163 | return c; | |
164 | } | |
165 | ||
166 | int64_t av_rescale_delta(AVRational in_tb, int64_t in_ts, AVRational fs_tb, int duration, int64_t *last, AVRational out_tb){ | |
167 | int64_t a, b, this; | |
168 | ||
169 | av_assert0(in_ts != AV_NOPTS_VALUE); | |
170 | av_assert0(duration >= 0); | |
171 | ||
172 | if (*last == AV_NOPTS_VALUE || !duration || in_tb.num*(int64_t)out_tb.den <= out_tb.num*(int64_t)in_tb.den) { | |
173 | simple_round: | |
174 | *last = av_rescale_q(in_ts, in_tb, fs_tb) + duration; | |
175 | return av_rescale_q(in_ts, in_tb, out_tb); | |
176 | } | |
177 | ||
178 | a = av_rescale_q_rnd(2*in_ts-1, in_tb, fs_tb, AV_ROUND_DOWN) >>1; | |
179 | b = (av_rescale_q_rnd(2*in_ts+1, in_tb, fs_tb, AV_ROUND_UP )+1)>>1; | |
180 | if (*last < 2*a - b || *last > 2*b - a) | |
181 | goto simple_round; | |
182 | ||
183 | this = av_clip64(*last, a, b); | |
184 | *last = this + duration; | |
185 | ||
186 | return av_rescale_q(this, fs_tb, out_tb); | |
187 | } | |
188 | ||
189 | int64_t av_add_stable(AVRational ts_tb, int64_t ts, AVRational inc_tb, int64_t inc) | |
190 | { | |
191 | int64_t m, d; | |
192 | ||
193 | if (inc != 1) | |
194 | inc_tb = av_mul_q(inc_tb, (AVRational) {inc, 1}); | |
195 | ||
196 | m = inc_tb.num * (int64_t)ts_tb.den; | |
197 | d = inc_tb.den * (int64_t)ts_tb.num; | |
198 | ||
199 | if (m % d == 0) | |
200 | return ts + m / d; | |
201 | if (m < d) | |
202 | return ts; | |
203 | ||
204 | { | |
205 | int64_t old = av_rescale_q(ts, ts_tb, inc_tb); | |
206 | int64_t old_ts = av_rescale_q(old, inc_tb, ts_tb); | |
207 | return av_rescale_q(old + 1, inc_tb, ts_tb) + (ts - old_ts); | |
208 | } | |
209 | } |