| /* |
| * Copyright (c) 2005-2012 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 |
| * miscellaneous math routines and tables |
| */ |
| |
| #include <stdint.h> |
| #include <limits.h> |
| |
| #include "mathematics.h" |
| #include "libavutil/common.h" |
| #include "avassert.h" |
| #include "version.h" |
| |
| #if FF_API_AV_REVERSE |
| const uint8_t av_reverse[256] = { |
| 0x00,0x80,0x40,0xC0,0x20,0xA0,0x60,0xE0,0x10,0x90,0x50,0xD0,0x30,0xB0,0x70,0xF0, |
| 0x08,0x88,0x48,0xC8,0x28,0xA8,0x68,0xE8,0x18,0x98,0x58,0xD8,0x38,0xB8,0x78,0xF8, |
| 0x04,0x84,0x44,0xC4,0x24,0xA4,0x64,0xE4,0x14,0x94,0x54,0xD4,0x34,0xB4,0x74,0xF4, |
| 0x0C,0x8C,0x4C,0xCC,0x2C,0xAC,0x6C,0xEC,0x1C,0x9C,0x5C,0xDC,0x3C,0xBC,0x7C,0xFC, |
| 0x02,0x82,0x42,0xC2,0x22,0xA2,0x62,0xE2,0x12,0x92,0x52,0xD2,0x32,0xB2,0x72,0xF2, |
| 0x0A,0x8A,0x4A,0xCA,0x2A,0xAA,0x6A,0xEA,0x1A,0x9A,0x5A,0xDA,0x3A,0xBA,0x7A,0xFA, |
| 0x06,0x86,0x46,0xC6,0x26,0xA6,0x66,0xE6,0x16,0x96,0x56,0xD6,0x36,0xB6,0x76,0xF6, |
| 0x0E,0x8E,0x4E,0xCE,0x2E,0xAE,0x6E,0xEE,0x1E,0x9E,0x5E,0xDE,0x3E,0xBE,0x7E,0xFE, |
| 0x01,0x81,0x41,0xC1,0x21,0xA1,0x61,0xE1,0x11,0x91,0x51,0xD1,0x31,0xB1,0x71,0xF1, |
| 0x09,0x89,0x49,0xC9,0x29,0xA9,0x69,0xE9,0x19,0x99,0x59,0xD9,0x39,0xB9,0x79,0xF9, |
| 0x05,0x85,0x45,0xC5,0x25,0xA5,0x65,0xE5,0x15,0x95,0x55,0xD5,0x35,0xB5,0x75,0xF5, |
| 0x0D,0x8D,0x4D,0xCD,0x2D,0xAD,0x6D,0xED,0x1D,0x9D,0x5D,0xDD,0x3D,0xBD,0x7D,0xFD, |
| 0x03,0x83,0x43,0xC3,0x23,0xA3,0x63,0xE3,0x13,0x93,0x53,0xD3,0x33,0xB3,0x73,0xF3, |
| 0x0B,0x8B,0x4B,0xCB,0x2B,0xAB,0x6B,0xEB,0x1B,0x9B,0x5B,0xDB,0x3B,0xBB,0x7B,0xFB, |
| 0x07,0x87,0x47,0xC7,0x27,0xA7,0x67,0xE7,0x17,0x97,0x57,0xD7,0x37,0xB7,0x77,0xF7, |
| 0x0F,0x8F,0x4F,0xCF,0x2F,0xAF,0x6F,0xEF,0x1F,0x9F,0x5F,0xDF,0x3F,0xBF,0x7F,0xFF, |
| }; |
| #endif |
| |
| 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; |
| av_assert2(c > 0); |
| av_assert2(b >=0); |
| av_assert2((unsigned)(rnd&~AV_ROUND_PASS_MINMAX)<=5 && (rnd&~AV_ROUND_PASS_MINMAX)!=4); |
| |
| if (c <= 0 || b < 0 || !((unsigned)(rnd&~AV_ROUND_PASS_MINMAX)<=5 && (rnd&~AV_ROUND_PASS_MINMAX)!=4)) |
| return INT64_MIN; |
| |
| if (rnd & AV_ROUND_PASS_MINMAX) { |
| if (a == INT64_MIN || a == INT64_MAX) |
| return a; |
| rnd -= AV_ROUND_PASS_MINMAX; |
| } |
| |
| 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--) { |
| 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) |
| { |
| 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); |
| } |
| |
| int64_t av_rescale_q(int64_t a, AVRational bq, AVRational cq) |
| { |
| return av_rescale_q_rnd(a, bq, cq, AV_ROUND_NEAR_INF); |
| } |
| |
| 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 ((FFABS(ts_a)|a|FFABS(ts_b)|b) <= INT_MAX) |
| return (ts_a*a > ts_b*b) - (ts_a*a < ts_b*b); |
| 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; |
| } |
| |
| 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; |
| } |
| |
| int64_t av_rescale_delta(AVRational in_tb, int64_t in_ts, AVRational fs_tb, int duration, int64_t *last, AVRational out_tb){ |
| int64_t a, b, this; |
| |
| av_assert0(in_ts != AV_NOPTS_VALUE); |
| av_assert0(duration >= 0); |
| |
| if (*last == AV_NOPTS_VALUE || !duration || in_tb.num*(int64_t)out_tb.den <= out_tb.num*(int64_t)in_tb.den) { |
| simple_round: |
| *last = av_rescale_q(in_ts, in_tb, fs_tb) + duration; |
| return av_rescale_q(in_ts, in_tb, out_tb); |
| } |
| |
| a = av_rescale_q_rnd(2*in_ts-1, in_tb, fs_tb, AV_ROUND_DOWN) >>1; |
| b = (av_rescale_q_rnd(2*in_ts+1, in_tb, fs_tb, AV_ROUND_UP )+1)>>1; |
| if (*last < 2*a - b || *last > 2*b - a) |
| goto simple_round; |
| |
| this = av_clip64(*last, a, b); |
| *last = this + duration; |
| |
| return av_rescale_q(this, fs_tb, out_tb); |
| } |
| |
| int64_t av_add_stable(AVRational ts_tb, int64_t ts, AVRational inc_tb, int64_t inc) |
| { |
| int64_t m, d; |
| |
| if (inc != 1) |
| inc_tb = av_mul_q(inc_tb, (AVRational) {inc, 1}); |
| |
| m = inc_tb.num * (int64_t)ts_tb.den; |
| d = inc_tb.den * (int64_t)ts_tb.num; |
| |
| if (m % d == 0) |
| return ts + m / d; |
| if (m < d) |
| return ts; |
| |
| { |
| int64_t old = av_rescale_q(ts, ts_tb, inc_tb); |
| int64_t old_ts = av_rescale_q(old, inc_tb, ts_tb); |
| return av_rescale_q(old + 1, inc_tb, ts_tb) + (ts - old_ts); |
| } |
| } |