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authorAlexander Strasser <eclipse7@gmx.net>2005-08-01 20:07:05 +0000
committerAlexander Strasser <eclipse7@gmx.net>2005-08-01 20:07:05 +0000
commitc11c2bc20b0d2ca85ac4aed937daf5d65316cf7b (patch)
tree7a668be611b0443382d380a55f4404d12ff44b9c /libavutil/rational.c
parent0cc64d3d1c9d95e0549b2c1baac59ab576837abb (diff)
libavutil: Utility code from libavcodec moved to a separate library.
Originally committed as revision 4489 to svn://svn.ffmpeg.org/ffmpeg/trunk
Diffstat (limited to 'libavutil/rational.c')
-rw-r--r--libavutil/rational.c110
1 files changed, 110 insertions, 0 deletions
diff --git a/libavutil/rational.c b/libavutil/rational.c
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+/*
+ * Rational numbers
+ * Copyright (c) 2003 Michael Niedermayer <michaelni@gmx.at>
+ *
+ * This library 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 of the License, or (at your option) any later version.
+ *
+ * This library 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 this library; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 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"
+
+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(ABS(nom), ABS(den));
+
+ nom = ABS(nom)/gcd;
+ den = ABS(den)/gcd;
+ if(nom<=max && den<=max){
+ a1= (AVRational){nom, den};
+ den=0;
+ }
+
+ while(den){
+ int64_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) break;
+
+ a0= a1;
+ a1= (AVRational){a2n, a2d};
+ nom= den;
+ den= next_den;
+ }
+ assert(ff_gcd(a1.num, a1.den) == 1);
+
+ *dst_nom = sign ? -a1.num : a1.num;
+ *dst_den = a1.den;
+
+ return den==0;
+}
+
+/**
+ * returns b*c.
+ */
+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;
+}
+
+/**
+ * returns b/c.
+ */
+AVRational av_div_q(AVRational b, AVRational c){
+ av_reduce(&b.num, &b.den, b.num * (int64_t)c.den, b.den * (int64_t)c.num, INT_MAX);
+ return b;
+}
+
+/**
+ * returns b+c.
+ */
+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;
+}
+
+/**
+ * returns b-c.
+ */
+AVRational av_sub_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;
+}
+
+/**
+ * Converts a double precission floating point number to a AVRational.
+ * @param max the maximum allowed numerator and denominator
+ */
+AVRational av_d2q(double d, int max){
+ AVRational a;
+ int exponent= FFMAX( (int)(log(ABS(d) + 1e-20)/log(2)), 0);
+ int64_t den= 1LL << (61 - exponent);
+ av_reduce(&a.num, &a.den, (int64_t)(d * den + 0.5), den, max);
+
+ return a;
+}