rational.c
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上传日期:2022-06-04
资源大小:8887k
文件大小:3k
源码类别:
流媒体/Mpeg4/MP4
开发平台:
Visual 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.c
- * Rational numbers
- * @author Michael Niedermayer <michaelni@gmx.at>
- */
- //#include <math.h>
- #include <limits.h>
- #include "common.h"
- #include "mathematics.h"
- #include "rational.h"
- #include <assert.h>
- int av_reduce(int *dst_nom, int *dst_den, int64_t nom, int64_t den, int64_t max){
- AVRational a0={0,1}, a1={1,0};
- int sign= (nom<0) ^ (den<0);
- int64_t gcd= ff_gcd(FFABS(nom), FFABS(den));
- if(gcd){
- nom = FFABS(nom)/gcd;
- den = FFABS(den)/gcd;
- }
- if(nom<=max && den<=max){
- a1. num = nom; ///< numerator
- a1.den=den; ///< denominator
- den=0;
- }
- while(den){
- uint64_t x = nom / den;
- int64_t next_den= nom - 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) > nom*a1.den)
- // a1 = (AVRational){x*a1.num + a0.num, x*a1.den + a0.den};
- break;
- }
- a0= a1;
- // a1= (AVRational){a2n, a2d};
- nom= den;
- den= next_den;
- }
- assert(ff_gcd(a1.num, a1.den) <= 1U);
- *dst_nom = 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;
- }
- static AVRational AV00 = {0,0};
- AVRational av_div_q(AVRational b, AVRational c){
- // return av_mul_q(b, (AVRational){c.den, c.num});
- return AV00;
- }
- 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});
- return AV00;
- }
- AVRational av_d2q(double d, int max){
- AVRational a;
- #define LOG2 0.69314718055994530941723212145817656807550013436025
- int exponent= FFMAX( (int)(log(fabs(d) + 1e-20)/LOG2), 0);
- int64_t den= 1 << (61 - exponent);
- av_reduce(&a.num, &a.den, (int64_t)(d * den + 0.5), den, max);
- return a;
- }