1 /*
2  * copyright (c) 2005 Michael Niedermayer <michaelni@gmx.at>
3  *
4  * This file is part of Libav.
5  *
6  * Libav 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  * Libav 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 Libav; if not, write to the Free Software
18  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
19  */
20 
21 #ifndef AVUTIL_MATHEMATICS_H
22 #define AVUTIL_MATHEMATICS_H
23 
24 #include <stdint.h>
25 #include <math.h>
26 #include "attributes.h"
27 #include "rational.h"
28 #include "intfloat.h"
29 
30 #ifndef M_LOG2_10
31 #define M_LOG2_10      3.32192809488736234787  /* log_2 10 */
32 #endif
33 #ifndef M_PHI
34 #define M_PHI          1.61803398874989484820   /* phi / golden ratio */
35 #endif
36 #ifndef NAN
37 #define NAN            av_int2float(0x7fc00000)
38 #endif
39 #ifndef INFINITY
40 #define INFINITY       av_int2float(0x7f800000)
41 #endif
42 
43 /**
44  * @addtogroup lavu_math
45  * @{
46  */
47 
cbrtf(float x)48 
49 enum AVRounding {
50     AV_ROUND_ZERO     = 0, ///< Round toward zero.
51     AV_ROUND_INF      = 1, ///< Round away from zero.
52     AV_ROUND_DOWN     = 2, ///< Round toward -infinity.
53     AV_ROUND_UP       = 3, ///< Round toward +infinity.
54     AV_ROUND_NEAR_INF = 5, ///< Round to nearest and halfway cases away from zero.
55 };
56 
57 /**
58  * Return the greatest common divisor of a and b.
59  * If both a and b are 0 or either or both are <0 then behavior is
60  * undefined.
61  */
62 int64_t av_const av_gcd(int64_t a, int64_t b);
63 
64 /**
65  * Rescale a 64-bit integer with rounding to nearest.
66  * A simple a*b/c isn't possible as it can overflow.
67  */
68 int64_t av_rescale(int64_t a, int64_t b, int64_t c) av_const;
69 
70 /**
71  * Rescale a 64-bit integer with specified rounding.
72  * A simple a*b/c isn't possible as it can overflow.
73  */
74 int64_t av_rescale_rnd(int64_t a, int64_t b, int64_t c, enum AVRounding) av_const;
isinf(float x)75 
76 /**
77  * Rescale a 64-bit integer by 2 rational numbers.
78  */
79 int64_t av_rescale_q(int64_t a, AVRational bq, AVRational cq) av_const;
80 
81 /**
82  * Rescale a 64-bit integer by 2 rational numbers with specified rounding.
83  */
84 int64_t av_rescale_q_rnd(int64_t a, AVRational bq, AVRational cq,
isnan(float x)85                          enum AVRounding) av_const;
86 
87 /**
88  * Compare 2 timestamps each in its own timebases.
89  * The result of the function is undefined if one of the timestamps
90  * is outside the int64_t range when represented in the others timebase.
91  * @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
92  */
93 int av_compare_ts(int64_t ts_a, AVRational tb_a, int64_t ts_b, AVRational tb_b);
94 
95 /**
96  * Compare 2 integers modulo mod.
97  * That is we compare integers a and b for which only the least
98  * significant log2(mod) bits are known.
99  *
100  * @param mod must be a power of 2
101  * @return a negative value if a is smaller than b
102  *         a positive value if a is greater than b
103  *         0                if a equals          b
104  */
105 int64_t av_compare_mod(uint64_t a, uint64_t b, uint64_t mod);
106 
107 /**
108  * @}
109  */
110 
111 #endif /* AVUTIL_MATHEMATICS_H */
112