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Diffstat (limited to 'contrib/ffmpeg/libavutil/mathematics.c')
-rw-r--r-- | contrib/ffmpeg/libavutil/mathematics.c | 139 |
1 files changed, 139 insertions, 0 deletions
diff --git a/contrib/ffmpeg/libavutil/mathematics.c b/contrib/ffmpeg/libavutil/mathematics.c new file mode 100644 index 000000000..4be027d9d --- /dev/null +++ b/contrib/ffmpeg/libavutil/mathematics.c @@ -0,0 +1,139 @@ +/* + * Copyright (c) 2005 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 mathematics.c + * Miscellaneous math routines and tables. + */ + +#include "common.h" +#include "mathematics.h" + +const uint8_t ff_sqrt_tab[128]={ + 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, + 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, + 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11 +}; + +const uint8_t ff_log2_tab[256]={ + 0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4, + 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, + 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, + 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, + 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, + 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, + 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, + 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7 +}; + +int64_t ff_gcd(int64_t a, int64_t b){ + if(b) return ff_gcd(b, a%b); + else return a; +} + +int64_t av_rescale_rnd(int64_t a, int64_t b, int64_t c, enum AVRounding rnd){ + int64_t r=0; + assert(c > 0); + assert(b >=0); + assert(rnd >=0 && rnd<=5 && rnd!=4); + + if(a<0 && a != INT64_MIN) return -av_rescale_rnd(-a, b, c, rnd ^ ((rnd>>1)&1)); + + if(rnd==AV_ROUND_NEAR_INF) r= c/2; + else if(rnd&1) r= c-1; + + if(b<=INT_MAX && c<=INT_MAX){ + if(a<=INT_MAX) + return (a * b + r)/c; + else + return a/c*b + (a%c*b + r)/c; + }else{ +#if 1 + uint64_t a0= a&0xFFFFFFFF; + uint64_t a1= a>>32; + uint64_t b0= b&0xFFFFFFFF; + uint64_t b1= b>>32; + uint64_t t1= a0*b1 + a1*b0; + uint64_t t1a= t1<<32; + int i; + + a0 = a0*b0 + t1a; + a1 = a1*b1 + (t1>>32) + (a0<t1a); + a0 += r; + a1 += a0<r; + + for(i=63; i>=0; i--){ +// int o= a1 & 0x8000000000000000ULL; + a1+= a1 + ((a0>>i)&1); + t1+=t1; + if(/*o || */c <= a1){ + a1 -= c; + t1++; + } + } + return t1; + } +#else + AVInteger ai; + ai= av_mul_i(av_int2i(a), av_int2i(b)); + ai= av_add_i(ai, av_int2i(r)); + + return av_i2int(av_div_i(ai, av_int2i(c))); + } +#endif +} + +int64_t av_rescale(int64_t a, int64_t b, int64_t c){ + return av_rescale_rnd(a, b, c, AV_ROUND_NEAR_INF); +} + +int64_t av_rescale_q(int64_t a, AVRational bq, AVRational cq){ + int64_t b= bq.num * (int64_t)cq.den; + int64_t c= cq.num * (int64_t)bq.den; + return av_rescale_rnd(a, b, c, AV_ROUND_NEAR_INF); +} +#if 0 +#include "integer.h" +#undef printf +main(){ + int64_t a,b,c,d,e; + + for(a=7; a<(1LL<<62); a+=a/3+1){ + for(b=3; b<(1LL<<62); b+=b/4+1){ + for(c=9; c<(1LL<<62); c+=(c*2)/5+3){ + int64_t r= c/2; + AVInteger ai; + ai= av_mul_i(av_int2i(a), av_int2i(b)); + ai= av_add_i(ai, av_int2i(r)); + + d= av_i2int(av_div_i(ai, av_int2i(c))); + + e= av_rescale(a,b,c); + + if((double)a * (double)b / (double)c > (1LL<<63)) + continue; + + if(d!=e) printf("%"PRId64"*%"PRId64"/%"PRId64"= %"PRId64"=%"PRId64"\n", a, b, c, d, e); + } + } + } +} +#endif |