FFmpeg coverage


Directory: ../../../ffmpeg/
File: src/libavutil/rational.c
Date: 2024-02-16 17:37:06
Exec Total Coverage
Lines: 83 90 92.2%
Functions: 10 10 100.0%
Branches: 42 58 72.4%

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1 /*
2 * rational numbers
3 * Copyright (c) 2003 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 * rational numbers
25 * @author Michael Niedermayer <michaelni@gmx.at>
26 */
27
28 #include "avassert.h"
29 #include <limits.h>
30
31 #include "common.h"
32 #include "mathematics.h"
33 #include "rational.h"
34
35 1344913 int av_reduce(int *dst_num, int *dst_den,
36 int64_t num, int64_t den, int64_t max)
37 {
38 1344913 AVRational a0 = { 0, 1 }, a1 = { 1, 0 };
39 1344913 int sign = (num < 0) ^ (den < 0);
40 1344913 int64_t gcd = av_gcd(FFABS(num), FFABS(den));
41
42
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1344913 if (gcd) {
43 1340994 num = FFABS(num) / gcd;
44 1340994 den = FFABS(den) / gcd;
45 }
46
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1344913 if (num <= max && den <= max) {
47 1344589 a1 = (AVRational) { num, den };
48 1344589 den = 0;
49 }
50
51
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1347280 while (den) {
52 2691 uint64_t x = num / den;
53 2691 int64_t next_den = num - den * x;
54 2691 int64_t a2n = x * a1.num + a0.num;
55 2691 int64_t a2d = x * a1.den + a0.den;
56
57
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2691 if (a2n > max || a2d > max) {
58
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324 if (a1.num) x = (max - a0.num) / a1.num;
59
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324 if (a1.den) x = FFMIN(x, (max - a0.den) / a1.den);
60
61
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324 if (den * (2 * x * a1.den + a0.den) > num * a1.den)
62 3 a1 = (AVRational) { x * a1.num + a0.num, x * a1.den + a0.den };
63 324 break;
64 }
65
66 2367 a0 = a1;
67 2367 a1 = (AVRational) { a2n, a2d };
68 2367 num = den;
69 2367 den = next_den;
70 }
71 av_assert2(av_gcd(a1.num, a1.den) <= 1U);
72 av_assert2(a1.num <= max && a1.den <= max);
73
74
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1344913 *dst_num = sign ? -a1.num : a1.num;
75 1344913 *dst_den = a1.den;
76
77 1344913 return den == 0;
78 }
79
80 1047615 AVRational av_mul_q(AVRational b, AVRational c)
81 {
82 1047615 av_reduce(&b.num, &b.den,
83 1047615 b.num * (int64_t) c.num,
84 1047615 b.den * (int64_t) c.den, INT_MAX);
85 1047615 return b;
86 }
87
88 181439 AVRational av_div_q(AVRational b, AVRational c)
89 {
90 181439 return av_mul_q(b, (AVRational) { c.den, c.num });
91 }
92
93 7152 AVRational av_add_q(AVRational b, AVRational c) {
94 7152 av_reduce(&b.num, &b.den,
95 7152 b.num * (int64_t) c.den +
96 7152 c.num * (int64_t) b.den,
97 7152 b.den * (int64_t) c.den, INT_MAX);
98 7152 return b;
99 }
100
101 56 AVRational av_sub_q(AVRational b, AVRational c)
102 {
103 56 return av_add_q(b, (AVRational) { -c.num, c.den });
104 }
105
106 178607 AVRational av_d2q(double d, int max)
107 {
108 AVRational a;
109 int exponent;
110 int64_t den;
111
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178607 if (isnan(d))
112 return (AVRational) { 0,0 };
113
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178607 if (fabs(d) > INT_MAX + 3LL)
114
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4 return (AVRational) { d < 0 ? -1 : 1, 0 };
115 178603 frexp(d, &exponent);
116 178603 exponent = FFMAX(exponent-1, 0);
117 178603 den = 1LL << (62 - exponent);
118 // (int64_t)rint() and llrint() do not work with gcc on ia64 and sparc64,
119 // see Ticket2713 for affected gcc/glibc versions
120 178603 av_reduce(&a.num, &a.den, floor(d * den + 0.5), den, max);
121
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178603 if ((!a.num || !a.den) && d && max>0 && max<INT_MAX)
122 1 av_reduce(&a.num, &a.den, floor(d * den + 0.5), den, INT_MAX);
123
124 178603 return a;
125 }
126
127 33076 int av_nearer_q(AVRational q, AVRational q1, AVRational q2)
128 {
129 /* n/d is q, a/b is the median between q1 and q2 */
130 33076 int64_t a = q1.num * (int64_t)q2.den + q2.num * (int64_t)q1.den;
131 33076 int64_t b = 2 * (int64_t)q1.den * q2.den;
132
133 /* rnd_up(a*d/b) > n => a*d/b > n */
134 33076 int64_t x_up = av_rescale_rnd(a, q.den, b, AV_ROUND_UP);
135
136 /* rnd_down(a*d/b) < n => a*d/b < n */
137 33076 int64_t x_down = av_rescale_rnd(a, q.den, b, AV_ROUND_DOWN);
138
139 33076 return ((x_up > q.num) - (x_down < q.num)) * av_cmp_q(q2, q1);
140 }
141
142 53 int av_find_nearest_q_idx(AVRational q, const AVRational* q_list)
143 {
144 53 int i, nearest_q_idx = 0;
145
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2800 for (i = 0; q_list[i].den; i++)
146
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2747 if (av_nearer_q(q, q_list[i], q_list[nearest_q_idx]) > 0)
147 645 nearest_q_idx = i;
148
149 53 return nearest_q_idx;
150 }
151
152 1 uint32_t av_q2intfloat(AVRational q) {
153 int64_t n;
154 int shift;
155 1 int sign = 0;
156
157
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1 if (q.den < 0) {
158 q.den *= -1;
159 q.num *= -1;
160 }
161
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1 if (q.num < 0) {
162 q.num *= -1;
163 sign = 1;
164 }
165
166
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1 if (!q.num && !q.den) return 0xFFC00000;
167
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1 if (!q.num) return 0;
168
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1 if (!q.den) return 0x7F800000 | (q.num & 0x80000000);
169
170 1 shift = 23 + av_log2(q.den) - av_log2(q.num);
171
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1 if (shift >= 0) n = av_rescale(q.num, 1LL<<shift, q.den);
172 else n = av_rescale(q.num, 1, ((int64_t)q.den) << -shift);
173
174 1 shift -= n >= (1<<24);
175 1 shift += n < (1<<23);
176
177
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1 if (shift >= 0) n = av_rescale(q.num, 1LL<<shift, q.den);
178 else n = av_rescale(q.num, 1, ((int64_t)q.den) << -shift);
179
180 av_assert1(n < (1<<24));
181 av_assert1(n >= (1<<23));
182
183 1 return sign<<31 | (150-shift)<<23 | (n - (1<<23));
184 }
185
186 43 AVRational av_gcd_q(AVRational a, AVRational b, int max_den, AVRational def)
187 {
188 int64_t gcd, lcm;
189
190 43 gcd = av_gcd(a.den, b.den);
191 43 lcm = (a.den / gcd) * b.den;
192
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43 return lcm < max_den ? av_make_q(av_gcd(a.num, b.num), lcm) : def;
193 }
194