From 3db1b8b5386d7d9c79008df4a64c4d871f575c3c Mon Sep 17 00:00:00 2001
From: Michael Niedermayer <michaelni@gmx.at>
Date: Thu, 30 Nov 2006 01:18:57 +0000
Subject: [PATCH] return optimal fraction based on a patch by Uoti Urpala

Originally committed as revision 7186 to svn://svn.ffmpeg.org/ffmpeg/trunk
---
 libavutil/rational.c | 10 +++++++++-
 1 file changed, 9 insertions(+), 1 deletion(-)

diff --git a/libavutil/rational.c b/libavutil/rational.c
index 4f343f7e32f..9fcf621f0ba 100644
--- a/libavutil/rational.c
+++ b/libavutil/rational.c
@@ -51,7 +51,15 @@ int av_reduce(int *dst_nom, int *dst_den, int64_t nom, int64_t den, int64_t max)
         int64_t a2n= x*a1.num + a0.num;
         int64_t a2d= x*a1.den + a0.den;
 
-        if(a2n > max || a2d > max) break;
+        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);
+
+            // Won't overflow, sum == original denominator
+            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};
-- 
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