LCOV - code coverage report
Current view: top level - src/libavutil - mathematics.c (source / functions) Hit Total Coverage
Test: coverage.info Lines: 96 104 92.3 %
Date: 2017-01-21 09:32:20 Functions: 8 9 88.9 %

          Line data    Source code
       1             : /*
       2             :  * Copyright (c) 2005-2012 Michael Niedermayer <michaelni@gmx.at>
       3             :  *
       4             :  * This file is part of FFmpeg.
       5             :  *
       6             :  * FFmpeg is free software; you can redistribute it and/or
       7             :  * modify it under the terms of the GNU Lesser General Public
       8             :  * License as published by the Free Software Foundation; either
       9             :  * version 2.1 of the License, or (at your option) any later version.
      10             :  *
      11             :  * FFmpeg is distributed in the hope that it will be useful,
      12             :  * but WITHOUT ANY WARRANTY; without even the implied warranty of
      13             :  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
      14             :  * Lesser General Public License for more details.
      15             :  *
      16             :  * You should have received a copy of the GNU Lesser General Public
      17             :  * License along with FFmpeg; if not, write to the Free Software
      18             :  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
      19             :  */
      20             : 
      21             : /**
      22             :  * @file
      23             :  * miscellaneous math routines and tables
      24             :  */
      25             : 
      26             : #include <stdint.h>
      27             : #include <limits.h>
      28             : 
      29             : #include "mathematics.h"
      30             : #include "libavutil/intmath.h"
      31             : #include "libavutil/common.h"
      32             : #include "avassert.h"
      33             : #include "version.h"
      34             : 
      35             : /* Stein's binary GCD algorithm:
      36             :  * https://en.wikipedia.org/wiki/Binary_GCD_algorithm */
      37     1362773 : int64_t av_gcd(int64_t a, int64_t b) {
      38             :     int za, zb, k;
      39             :     int64_t u, v;
      40     1362773 :     if (a == 0)
      41      481461 :         return b;
      42      881312 :     if (b == 0)
      43       89578 :         return a;
      44      791734 :     za = ff_ctzll(a);
      45      791734 :     zb = ff_ctzll(b);
      46      791734 :     k  = FFMIN(za, zb);
      47      791734 :     u = llabs(a >> za);
      48      791734 :     v = llabs(b >> zb);
      49     4129271 :     while (u != v) {
      50     2545803 :         if (u > v)
      51      703262 :             FFSWAP(int64_t, v, u);
      52     2545803 :         v -= u;
      53     2545803 :         v >>= ff_ctzll(v);
      54             :     }
      55      791734 :     return (uint64_t)u << k;
      56             : }
      57             : 
      58    10324019 : int64_t av_rescale_rnd(int64_t a, int64_t b, int64_t c, enum AVRounding rnd)
      59             : {
      60    10324019 :     int64_t r = 0;
      61             :     av_assert2(c > 0);
      62             :     av_assert2(b >=0);
      63             :     av_assert2((unsigned)(rnd&~AV_ROUND_PASS_MINMAX)<=5 && (rnd&~AV_ROUND_PASS_MINMAX)!=4);
      64             : 
      65    10324019 :     if (c <= 0 || b < 0 || !((unsigned)(rnd&~AV_ROUND_PASS_MINMAX)<=5 && (rnd&~AV_ROUND_PASS_MINMAX)!=4))
      66           0 :         return INT64_MIN;
      67             : 
      68    10324019 :     if (rnd & AV_ROUND_PASS_MINMAX) {
      69      762676 :         if (a == INT64_MIN || a == INT64_MAX)
      70       63429 :             return a;
      71      699247 :         rnd -= AV_ROUND_PASS_MINMAX;
      72             :     }
      73             : 
      74    10260590 :     if (a < 0)
      75       73553 :         return -(uint64_t)av_rescale_rnd(-FFMAX(a, -INT64_MAX), b, c, rnd ^ ((rnd >> 1) & 1));
      76             : 
      77    10187037 :     if (rnd == AV_ROUND_NEAR_INF)
      78     9516240 :         r = c / 2;
      79      670797 :     else if (rnd & 1)
      80       93809 :         r = c - 1;
      81             : 
      82    10187037 :     if (b <= INT_MAX && c <= INT_MAX) {
      83    10036225 :         if (a <= INT_MAX)
      84    10024326 :             return (a * b + r) / c;
      85             :         else {
      86       11899 :             int64_t ad = a / c;
      87       11899 :             int64_t a2 = (a % c * b + r) / c;
      88       11899 :             if (ad >= INT32_MAX && b && ad > (INT64_MAX - a2) / b)
      89        1151 :                 return INT64_MIN;
      90       10748 :             return ad * b + a2;
      91             :         }
      92             :     } else {
      93             : #if 1
      94      150812 :         uint64_t a0  = a & 0xFFFFFFFF;
      95      150812 :         uint64_t a1  = a >> 32;
      96      150812 :         uint64_t b0  = b & 0xFFFFFFFF;
      97      150812 :         uint64_t b1  = b >> 32;
      98      150812 :         uint64_t t1  = a0 * b1 + a1 * b0;
      99      150812 :         uint64_t t1a = t1 << 32;
     100             :         int i;
     101             : 
     102      150812 :         a0  = a0 * b0 + t1a;
     103      150812 :         a1  = a1 * b1 + (t1 >> 32) + (a0 < t1a);
     104      150812 :         a0 += r;
     105      150812 :         a1 += a0 < r;
     106             : 
     107     9802780 :         for (i = 63; i >= 0; i--) {
     108     9651968 :             a1 += a1 + ((a0 >> i) & 1);
     109     9651968 :             t1 += t1;
     110     9651968 :             if (c <= a1) {
     111     1309071 :                 a1 -= c;
     112     1309071 :                 t1++;
     113             :             }
     114             :         }
     115      150812 :         if (t1 > INT64_MAX)
     116           0 :             return INT64_MIN;
     117      150812 :         return t1;
     118             :     }
     119             : #else
     120             :         AVInteger ai;
     121             :         ai = av_mul_i(av_int2i(a), av_int2i(b));
     122             :         ai = av_add_i(ai, av_int2i(r));
     123             : 
     124             :         return av_i2int(av_div_i(ai, av_int2i(c)));
     125             :     }
     126             : #endif
     127             : }
     128             : 
     129      617779 : int64_t av_rescale(int64_t a, int64_t b, int64_t c)
     130             : {
     131      617779 :     return av_rescale_rnd(a, b, c, AV_ROUND_NEAR_INF);
     132             : }
     133             : 
     134     9159778 : int64_t av_rescale_q_rnd(int64_t a, AVRational bq, AVRational cq,
     135             :                          enum AVRounding rnd)
     136             : {
     137     9159778 :     int64_t b = bq.num * (int64_t)cq.den;
     138     9159778 :     int64_t c = cq.num * (int64_t)bq.den;
     139     9159778 :     return av_rescale_rnd(a, b, c, rnd);
     140             : }
     141             : 
     142     8199147 : int64_t av_rescale_q(int64_t a, AVRational bq, AVRational cq)
     143             : {
     144     8199147 :     return av_rescale_q_rnd(a, bq, cq, AV_ROUND_NEAR_INF);
     145             : }
     146             : 
     147       32256 : int av_compare_ts(int64_t ts_a, AVRational tb_a, int64_t ts_b, AVRational tb_b)
     148             : {
     149       32256 :     int64_t a = tb_a.num * (int64_t)tb_b.den;
     150       32256 :     int64_t b = tb_b.num * (int64_t)tb_a.den;
     151       32256 :     if ((FFABS(ts_a)|a|FFABS(ts_b)|b) <= INT_MAX)
     152       31083 :         return (ts_a*a > ts_b*b) - (ts_a*a < ts_b*b);
     153        1173 :     if (av_rescale_rnd(ts_a, a, b, AV_ROUND_DOWN) < ts_b)
     154        1019 :         return -1;
     155         154 :     if (av_rescale_rnd(ts_b, b, a, AV_ROUND_DOWN) < ts_a)
     156          58 :         return 1;
     157          96 :     return 0;
     158             : }
     159             : 
     160           0 : int64_t av_compare_mod(uint64_t a, uint64_t b, uint64_t mod)
     161             : {
     162           0 :     int64_t c = (a - b) & (mod - 1);
     163           0 :     if (c > (mod >> 1))
     164           0 :         c -= mod;
     165           0 :     return c;
     166             : }
     167             : 
     168      298225 : int64_t av_rescale_delta(AVRational in_tb, int64_t in_ts,  AVRational fs_tb, int duration, int64_t *last, AVRational out_tb){
     169             :     int64_t a, b, this;
     170             : 
     171      298225 :     av_assert0(in_ts != AV_NOPTS_VALUE);
     172      298225 :     av_assert0(duration >= 0);
     173             : 
     174      298225 :     if (*last == AV_NOPTS_VALUE || !duration || in_tb.num*(int64_t)out_tb.den <= out_tb.num*(int64_t)in_tb.den) {
     175             : simple_round:
     176      236512 :         *last = av_rescale_q(in_ts, in_tb, fs_tb) + duration;
     177      236512 :         return av_rescale_q(in_ts, in_tb, out_tb);
     178             :     }
     179             : 
     180       62375 :     a =  av_rescale_q_rnd(2*in_ts-1, in_tb, fs_tb, AV_ROUND_DOWN)   >>1;
     181       62375 :     b = (av_rescale_q_rnd(2*in_ts+1, in_tb, fs_tb, AV_ROUND_UP  )+1)>>1;
     182       62375 :     if (*last < 2*a - b || *last > 2*b - a)
     183             :         goto simple_round;
     184             : 
     185       61713 :     this = av_clip64(*last, a, b);
     186       61713 :     *last = this + duration;
     187             : 
     188       61713 :     return av_rescale_q(this, fs_tb, out_tb);
     189             : }
     190             : 
     191      434932 : int64_t av_add_stable(AVRational ts_tb, int64_t ts, AVRational inc_tb, int64_t inc)
     192             : {
     193             :     int64_t m, d;
     194             : 
     195      434932 :     if (inc != 1)
     196           0 :         inc_tb = av_mul_q(inc_tb, (AVRational) {inc, 1});
     197             : 
     198      434932 :     m = inc_tb.num * (int64_t)ts_tb.den;
     199      434932 :     d = inc_tb.den * (int64_t)ts_tb.num;
     200             : 
     201      434932 :     if (m % d == 0)
     202      424233 :         return ts + m / d;
     203       10699 :     if (m < d)
     204        2881 :         return ts;
     205             : 
     206             :     {
     207        7818 :         int64_t old = av_rescale_q(ts, ts_tb, inc_tb);
     208        7818 :         int64_t old_ts = av_rescale_q(old, inc_tb, ts_tb);
     209        7818 :         return av_rescale_q(old + 1, inc_tb, ts_tb) + (ts - old_ts);
     210             :     }
     211             : }

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