/*
* Copyright (c) 2005 Michael Niedermayer <michaelni@gmx.at>
*
- * This file is part of FFmpeg.
+ * This file is part of Libav.
*
- * FFmpeg is free software; you can redistribute it and/or
+ * Libav 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,
+ * Libav 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
+ * License along with Libav; 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.
+ * @file
+ * miscellaneous math routines and tables
*/
-#include "common.h"
-#include "mathematics.h"
+#include <stdint.h>
+#include <limits.h>
-const uint8_t ff_sqrt_tab[256]={
- 0, 16, 23, 28, 32, 36, 40, 43, 46, 48, 51, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 77, 79, 80, 82, 84, 85, 87, 88, 90,
- 91, 92, 94, 95, 96, 98, 99,100,102,103,104,105,107,108,109,110,111,112,114,115,116,117,118,119,120,121,122,123,124,125,126,127,
-128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,144,145,146,147,148,149,150,151,151,152,153,154,155,156,156,
-157,158,159,160,160,161,162,163,164,164,165,166,167,168,168,169,170,171,171,172,173,174,174,175,176,176,177,178,179,179,180,181,
-182,182,183,184,184,185,186,186,187,188,188,189,190,190,191,192,192,193,194,194,195,196,196,197,198,198,199,200,200,201,202,202,
-203,204,204,205,205,206,207,207,208,208,209,210,210,211,212,212,213,213,214,215,215,216,216,217,218,218,219,219,220,220,221,222,
-222,223,223,224,224,225,226,226,227,227,228,228,229,230,230,231,231,232,232,233,233,234,235,235,236,236,237,237,238,238,239,239,
-240,240,241,242,242,243,243,244,244,245,245,246,246,247,247,248,248,249,249,250,250,251,251,252,252,253,253,254,254,255,255,255
-};
-
-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;
+#include "mathematics.h"
+#include "version.h"
+
+int64_t av_gcd(int64_t a, int64_t b)
+{
+ if (b)
+ return av_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);
+int64_t av_rescale_rnd(int64_t a, int64_t b, int64_t c, enum AVRounding rnd)
+{
+ int64_t r = 0;
- if(a<0 && a != INT64_MIN) return -av_rescale_rnd(-a, b, c, rnd ^ ((rnd>>1)&1));
+ if (c <= 0 || b < 0 || rnd == 4 || rnd > 5)
+ return INT64_MIN;
- if(rnd==AV_ROUND_NEAR_INF) r= c/2;
- else if(rnd&1) r= c-1;
+ if (a < 0 && a != INT64_MIN)
+ return -av_rescale_rnd(-a, b, c, rnd ^ ((rnd >> 1) & 1));
- if(b<=INT_MAX && c<=INT_MAX){
- if(a<=INT_MAX)
- return (a * b + r)/c;
+ 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;
+ return a / c * b + (a % c * b + r) / c;
+ } else {
+ 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 = a0 * b0 + t1a;
+ a1 = a1 * b1 + (t1 >> 32) + (a0 < t1a);
a0 += r;
- a1 += 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){
+ for (i = 63; i >= 0; i--) {
+ a1 += a1 + ((a0 >> i) & 1);
+ t1 += t1;
+ if (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){
+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);
+int64_t av_rescale_q_rnd(int64_t a, AVRational bq, AVRational cq,
+ enum AVRounding rnd)
+{
+ 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, rnd);
}
-#ifdef TEST
-#include "integer.h"
-#undef printf
-int main(void){
- 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;
+int64_t av_rescale_q(int64_t a, AVRational bq, AVRational cq)
+{
+ return av_rescale_q_rnd(a, bq, cq, AV_ROUND_NEAR_INF);
+}
- if(d!=e) printf("%"PRId64"*%"PRId64"/%"PRId64"= %"PRId64"=%"PRId64"\n", a, b, c, d, e);
- }
- }
- }
+int av_compare_ts(int64_t ts_a, AVRational tb_a, int64_t ts_b, AVRational tb_b)
+{
+ int64_t a = tb_a.num * (int64_t)tb_b.den;
+ int64_t b = tb_b.num * (int64_t)tb_a.den;
+ if (av_rescale_rnd(ts_a, a, b, AV_ROUND_DOWN) < ts_b)
+ return -1;
+ if (av_rescale_rnd(ts_b, b, a, AV_ROUND_DOWN) < ts_a)
+ return 1;
return 0;
}
-#endif
+
+int64_t av_compare_mod(uint64_t a, uint64_t b, uint64_t mod)
+{
+ int64_t c = (a - b) & (mod - 1);
+ if (c > (mod >> 1))
+ c -= mod;
+ return c;
+}