FFmpeg/libavutil/rational.c
Michael Niedermayer 8c0cbb0848 Merge remote-tracking branch 'qatar/master'
* qatar/master:
  rational-test: Add proper main() declaration to fix gcc warnings.
  configure: Add vdpau and dxva2 to configure results output.
  Remove unused, never built libavutil/pca.[ch]
  matroskadec: forward parsing errors to caller.
  av_find_stream_info: simplify EAGAIN handling.
  aacenc: Fix determination of Mid/Side Mode.
  psymodel: Remove the single channel analysis function
  aacenc: Implement dummy channel group analysis that just calls the single channel analysis for each channel.
  psymodel: Add channels and channel groups to the psymodel.
  ARM: remove check for PLD instruction
  fate: move amr[nw]b test rules into separate files
  ogg: fix double free when finding length of small chained oggs.
  swscale: implement >8bit scaling support.
  build: fix creation of tools dir with make 3.81
  build: Mark all-yes Makefile target as phony.
  pixfmt: fix YUV422/444 wrong endian comment
  build: create output directories as needed
  Add new yuv444 pixfmts to avcodec_align_dimensions2

Conflicts:
	Makefile
	configure
	libavutil/pca.c
	libavutil/pca.h
	libavutil/pixfmt.h
	libswscale/swscale.c
	libswscale/utils.c
	libswscale/x86/swscale_template.c
	tests/ref/lavfi/pixdesc
	tests/ref/lavfi/pixfmts_copy
	tests/ref/lavfi/pixfmts_null
	tests/ref/lavfi/pixfmts_scale
	tests/ref/lavfi/pixfmts_vflip

Merged-by: Michael Niedermayer <michaelni@gmx.at>
2011-06-30 04:32:24 +02:00

158 lines
4.5 KiB
C

/*
* rational numbers
* Copyright (c) 2003 Michael Niedermayer <michaelni@gmx.at>
*
* This file is part of FFmpeg.
*
* FFmpeg is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* FFmpeg is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with FFmpeg; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
/**
* @file
* rational numbers
* @author Michael Niedermayer <michaelni@gmx.at>
*/
#include "avassert.h"
//#include <math.h>
#include <limits.h>
#include "common.h"
#include "mathematics.h"
#include "rational.h"
int av_reduce(int *dst_num, int *dst_den, int64_t num, int64_t den, int64_t max){
AVRational a0={0,1}, a1={1,0};
int sign= (num<0) ^ (den<0);
int64_t gcd= av_gcd(FFABS(num), FFABS(den));
if(gcd){
num = FFABS(num)/gcd;
den = FFABS(den)/gcd;
}
if(num<=max && den<=max){
a1= (AVRational){num, den};
den=0;
}
while(den){
uint64_t x = num / den;
int64_t next_den= num - den*x;
int64_t a2n= x*a1.num + a0.num;
int64_t a2d= x*a1.den + a0.den;
if(a2n > max || a2d > max){
if(a1.num) x= (max - a0.num) / a1.num;
if(a1.den) x= FFMIN(x, (max - a0.den) / a1.den);
if (den*(2*x*a1.den + a0.den) > num*a1.den)
a1 = (AVRational){x*a1.num + a0.num, x*a1.den + a0.den};
break;
}
a0= a1;
a1= (AVRational){a2n, a2d};
num= den;
den= next_den;
}
av_assert2(av_gcd(a1.num, a1.den) <= 1U);
*dst_num = sign ? -a1.num : a1.num;
*dst_den = a1.den;
return den==0;
}
AVRational av_mul_q(AVRational b, AVRational c){
av_reduce(&b.num, &b.den, b.num * (int64_t)c.num, b.den * (int64_t)c.den, INT_MAX);
return b;
}
AVRational av_div_q(AVRational b, AVRational c){
return av_mul_q(b, (AVRational){c.den, c.num});
}
AVRational av_add_q(AVRational b, AVRational c){
av_reduce(&b.num, &b.den, b.num * (int64_t)c.den + c.num * (int64_t)b.den, b.den * (int64_t)c.den, INT_MAX);
return b;
}
AVRational av_sub_q(AVRational b, AVRational c){
return av_add_q(b, (AVRational){-c.num, c.den});
}
AVRational av_d2q(double d, int max){
AVRational a;
#define LOG2 0.69314718055994530941723212145817656807550013436025
int exponent;
int64_t den;
if (isnan(d))
return (AVRational){0,0};
if (isinf(d))
return (AVRational){ d<0 ? -1:1, 0 };
exponent = FFMAX( (int)(log(fabs(d) + 1e-20)/LOG2), 0);
den = 1LL << (61 - exponent);
av_reduce(&a.num, &a.den, (int64_t)(d * den + 0.5), den, max);
return a;
}
int av_nearer_q(AVRational q, AVRational q1, AVRational q2)
{
/* n/d is q, a/b is the median between q1 and q2 */
int64_t a = q1.num * (int64_t)q2.den + q2.num * (int64_t)q1.den;
int64_t b = 2 * (int64_t)q1.den * q2.den;
/* rnd_up(a*d/b) > n => a*d/b > n */
int64_t x_up = av_rescale_rnd(a, q.den, b, AV_ROUND_UP);
/* rnd_down(a*d/b) < n => a*d/b < n */
int64_t x_down = av_rescale_rnd(a, q.den, b, AV_ROUND_DOWN);
return ((x_up > q.num) - (x_down < q.num)) * av_cmp_q(q2, q1);
}
int av_find_nearest_q_idx(AVRational q, const AVRational* q_list)
{
int i, nearest_q_idx = 0;
for(i=0; q_list[i].den; i++)
if (av_nearer_q(q, q_list[i], q_list[nearest_q_idx]) > 0)
nearest_q_idx = i;
return nearest_q_idx;
}
#ifdef TEST
int main(void)
{
AVRational a,b;
for(a.num=-2; a.num<=2; a.num++){
for(a.den=-2; a.den<=2; a.den++){
for(b.num=-2; b.num<=2; b.num++){
for(b.den=-2; b.den<=2; b.den++){
int c= av_cmp_q(a,b);
double d= av_q2d(a) == av_q2d(b) ? 0 : (av_q2d(a) - av_q2d(b));
if(d>0) d=1;
else if(d<0) d=-1;
else if(d != d) d= INT_MIN;
if(c!=d) av_log(0, AV_LOG_ERROR, "%d/%d %d/%d, %d %f\n", a.num, a.den, b.num, b.den, c,d);
}
}
}
}
return 0;
}
#endif