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mathematics.h File Reference
`#include <stdint.h>`
`#include <math.h>`
`#include "attributes.h"`
`#include "rational.h"`
`#include "intfloat.h"`

Go to the source code of this file.

## Macros

#define | M_E 2.7182818284590452354 /* e */
#define | M_Ef 2.7182818284590452354f /* e */
#define | M_LN2 0.69314718055994530942 /* log_e 2 */
#define | M_LN2f 0.69314718055994530942f /* log_e 2 */
#define | M_LN10 2.30258509299404568402 /* log_e 10 */
#define | M_LN10f 2.30258509299404568402f /* log_e 10 */
#define | M_LOG2_10 3.32192809488736234787 /* log_2 10 */
#define | M_LOG2_10f 3.32192809488736234787f /* log_2 10 */
#define | M_PHI 1.61803398874989484820 /* phi / golden ratio */
#define | M_PHIf 1.61803398874989484820f /* phi / golden ratio */
#define | M_PI 3.14159265358979323846 /* pi */
#define | M_PIf 3.14159265358979323846f /* pi */
#define | M_PI_2 1.57079632679489661923 /* pi/2 */
#define | M_PI_2f 1.57079632679489661923f /* pi/2 */
#define | M_PI_4 0.78539816339744830962 /* pi/4 */
#define | M_PI_4f 0.78539816339744830962f /* pi/4 */
#define | M_1_PI 0.31830988618379067154 /* 1/pi */
#define | M_1_PIf 0.31830988618379067154f /* 1/pi */
#define | M_2_PI 0.63661977236758134308 /* 2/pi */
#define | M_2_PIf 0.63661977236758134308f /* 2/pi */
#define | M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
#define | M_2_SQRTPIf 1.12837916709551257390f /* 2/sqrt(pi) */
#define | M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
#define | M_SQRT1_2f 0.70710678118654752440f /* 1/sqrt(2) */
#define | M_SQRT2 1.41421356237309504880 /* sqrt(2) */
#define | M_SQRT2f 1.41421356237309504880f /* sqrt(2) */
#define | NAN av_int2float(0x7fc00000)
#define | INFINITY av_int2float(0x7f800000)

## Enumerations

enum | AVRounding { AV_ROUND_ZERO = 0 , AV_ROUND_INF = 1 , AV_ROUND_DOWN = 2 , AV_ROUND_UP = 3 , AV_ROUND_NEAR_INF = 5 , AV_ROUND_PASS_MINMAX = 8192 }
| Rounding methods. More...

## Functions

int64_t av_const | av_gcd (int64_t a, int64_t b)
| Compute the greatest common divisor of two integer operands.
int64_t | av_rescale (int64_t a, int64_t b, int64_t c) av_const
| Rescale a 64-bit integer with rounding to nearest.
int64_t | av_rescale_rnd (int64_t a, int64_t b, int64_t c, enum AVRounding rnd) av_const
| Rescale a 64-bit integer with specified rounding.
int64_t | av_rescale_q (int64_t a, AVRational bq, AVRational cq) av_const
| Rescale a 64-bit integer by 2 rational numbers.
int64_t | av_rescale_q_rnd (int64_t a, AVRational bq, AVRational cq, enum AVRounding rnd) av_const
| Rescale a 64-bit integer by 2 rational numbers with specified rounding.
int | av_compare_ts (int64_t ts_a, AVRational tb_a, int64_t ts_b, AVRational tb_b)
| Compare two timestamps each in its own time base.
int64_t | av_compare_mod (uint64_t a, uint64_t b, uint64_t mod)
| Compare the remainders of two integer operands divided by a common divisor.
int64_t | av_rescale_delta (AVRational in_tb, int64_t in_ts, AVRational fs_tb, int duration, int64_t *last, AVRational out_tb)
| Rescale a timestamp while preserving known durations.
int64_t | av_add_stable (AVRational ts_tb, int64_t ts, AVRational inc_tb, int64_t inc)
| Add a value to a timestamp.
double | av_bessel_i0 (double x)
| 0th order modified bessel function of the first kind.

## Macro Definition Documentation

## M_E

#define M_E 2.7182818284590452354 /* e */

Definition at line 37 of file mathematics.h.

## M_Ef

#define M_Ef 2.7182818284590452354f /* e */

Definition at line 40 of file mathematics.h.

## M_LN2

#define M_LN2 0.69314718055994530942 /* log_e 2 */

Definition at line 43 of file mathematics.h.

## M_LN2f

#define M_LN2f 0.69314718055994530942f /* log_e 2 */

Definition at line 46 of file mathematics.h.

## M_LN10

#define M_LN10 2.30258509299404568402 /* log_e 10 */

Definition at line 49 of file mathematics.h.

## M_LN10f

#define M_LN10f 2.30258509299404568402f /* log_e 10 */

Definition at line 52 of file mathematics.h.

## M_LOG2_10

#define M_LOG2_10 3.32192809488736234787 /* log_2 10 */

Definition at line 55 of file mathematics.h.

## M_LOG2_10f

#define M_LOG2_10f 3.32192809488736234787f /* log_2 10 */

Definition at line 58 of file mathematics.h.

## M_PHI

#define M_PHI 1.61803398874989484820 /* phi / golden ratio */

Definition at line 61 of file mathematics.h.

## M_PHIf

#define M_PHIf 1.61803398874989484820f /* phi / golden ratio */

Definition at line 64 of file mathematics.h.

## M_PI

#define M_PI 3.14159265358979323846 /* pi */

Examples
  encode_audio.c, filter_audio.c, mux.c, and resample_audio.c.

Definition at line 67 of file mathematics.h.

## M_PIf

#define M_PIf 3.14159265358979323846f /* pi */

Definition at line 70 of file mathematics.h.

## M_PI_2

#define M_PI_2 1.57079632679489661923 /* pi/2 */

Definition at line 73 of file mathematics.h.

## M_PI_2f

#define M_PI_2f 1.57079632679489661923f /* pi/2 */

Definition at line 76 of file mathematics.h.

## M_PI_4

#define M_PI_4 0.78539816339744830962 /* pi/4 */

Definition at line 79 of file mathematics.h.

## M_PI_4f

#define M_PI_4f 0.78539816339744830962f /* pi/4 */

Definition at line 82 of file mathematics.h.

## M_1_PI

#define M_1_PI 0.31830988618379067154 /* 1/pi */

Definition at line 85 of file mathematics.h.

## M_1_PIf

#define M_1_PIf 0.31830988618379067154f /* 1/pi */

Definition at line 88 of file mathematics.h.

## M_2_PI

#define M_2_PI 0.63661977236758134308 /* 2/pi */

Definition at line 91 of file mathematics.h.

## M_2_PIf

#define M_2_PIf 0.63661977236758134308f /* 2/pi */

Definition at line 94 of file mathematics.h.

## M_2_SQRTPI

#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */

Definition at line 97 of file mathematics.h.

## M_2_SQRTPIf

#define M_2_SQRTPIf 1.12837916709551257390f /* 2/sqrt(pi) */

Definition at line 100 of file mathematics.h.

## M_SQRT1_2

#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */

Definition at line 103 of file mathematics.h.

## M_SQRT1_2f

#define M_SQRT1_2f 0.70710678118654752440f /* 1/sqrt(2) */

Definition at line 106 of file mathematics.h.

## M_SQRT2

#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */

Definition at line 109 of file mathematics.h.

## M_SQRT2f

#define M_SQRT2f 1.41421356237309504880f /* sqrt(2) */

Definition at line 112 of file mathematics.h.

## NAN

#define NAN av_int2float(0x7fc00000)

Definition at line 115 of file mathematics.h.

## INFINITY

#define INFINITY av_int2float(0x7f800000)

Definition at line 118 of file mathematics.h.