2 * copyright (c) 2005 Michael Niedermayer <michaelni@gmx.at>
4 * This file is part of FFmpeg.
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.
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.
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
21 #ifndef AVUTIL_MATHEMATICS_H
22 #define AVUTIL_MATHEMATICS_H
26 #include "attributes.h"
30 #define M_E 2.7182818284590452354 /* e */
33 #define M_LN2 0.69314718055994530942 /* log_e 2 */
36 #define M_LN10 2.30258509299404568402 /* log_e 10 */
39 #define M_LOG2_10 3.32192809488736234787 /* log_2 10 */
42 #define M_PI 3.14159265358979323846 /* pi */
45 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
48 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
54 #define INFINITY (1.0/0.0)
58 AV_ROUND_ZERO = 0, ///< Round toward zero.
59 AV_ROUND_INF = 1, ///< Round away from zero.
60 AV_ROUND_DOWN = 2, ///< Round toward -infinity.
61 AV_ROUND_UP = 3, ///< Round toward +infinity.
62 AV_ROUND_NEAR_INF = 5, ///< Round to nearest and halfway cases away from zero.
66 * Returns the greatest common divisor of a and b.
67 * If both a and b are 0 or either or both are <0 then behavior is
70 int64_t av_const av_gcd(int64_t a, int64_t b);
73 * Rescales a 64-bit integer with rounding to nearest.
74 * A simple a*b/c isn't possible as it can overflow.
76 int64_t av_rescale(int64_t a, int64_t b, int64_t c) av_const;
79 * Rescales a 64-bit integer with specified rounding.
80 * A simple a*b/c isn't possible as it can overflow.
82 int64_t av_rescale_rnd(int64_t a, int64_t b, int64_t c, enum AVRounding) av_const;
85 * Rescales a 64-bit integer by 2 rational numbers.
87 int64_t av_rescale_q(int64_t a, AVRational bq, AVRational cq) av_const;
90 * Compares 2 timestamps each in its own timebases.
91 * The result of the function is undefined if one of the timestamps
92 * is outside the int64_t range when represented in the others timebase.
93 * @return -1 if ts_a is before ts_b, 1 if ts_a is after ts_b or 0 if they represent the same position
95 int av_compare_ts(int64_t ts_a, AVRational tb_a, int64_t ts_b, AVRational tb_b);
98 #endif /* AVUTIL_MATHEMATICS_H */