1 /* 2 * rational numbers 3 * Copyright (c) 2003 Michael Niedermayer <michaelni@gmx.at> 4 * 5 * This file is part of FFmpeg. 6 * 7 * FFmpeg is free software; you can redistribute it and/or 8 * modify it under the terms of the GNU Lesser General Public 9 * License as published by the Free Software Foundation; either 10 * version 2.1 of the License, or (at your option) any later version. 11 * 12 * FFmpeg is distributed in the hope that it will be useful, 13 * but WITHOUT ANY WARRANTY; without even the implied warranty of 14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 15 * Lesser General Public License for more details. 16 * 17 * You should have received a copy of the GNU Lesser General Public 18 * License along with FFmpeg; if not, write to the Free Software 19 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA 20 */ 21 module ffmpeg.libavutil.rational; 22 import std.stdint; 23 24 extern(C): 25 /** 26 * @addtogroup lavu_math 27 * @{ 28 */ 29 30 /** 31 * rational number numerator/denominator 32 */ 33 struct AVRational { 34 int num; 35 int den; 36 double q2d() const { 37 return num/cast(double) den; 38 } 39 } 40 41 42 /** 43 * Compare two rationals. 44 * @param a first rational 45 * @param b second rational 46 * @return 0 if a==b, 1 if a>b, -1 if a<b, and INT_MIN if one of the 47 * values is of the form 0/0 48 */ 49 static int av_cmp_q(AVRational a, AVRational b){ 50 const int64_t tmp= a.num * cast(int64_t)b.den - b.num * cast(int64_t)a.den; 51 52 if(tmp) return ((tmp ^ a.den ^ b.den)>>63)|1; 53 else if(b.den && a.den) return 0; 54 else if(a.num && b.num) return (a.num>>31) - (b.num>>31); 55 else return int.min; 56 } 57 58 /** 59 * Convert rational to double. 60 * @param a rational to convert 61 * @return (double) a 62 */ 63 static double av_q2d(AVRational a){ 64 return a.num / cast(double) a.den; 65 } 66 67 /** 68 * Reduce a fraction. 69 * This is useful for framerate calculations. 70 * @param dst_num destination numerator 71 * @param dst_den destination denominator 72 * @param num source numerator 73 * @param den source denominator 74 * @param max the maximum allowed for dst_num & dst_den 75 * @return 1 if exact, 0 otherwise 76 */ 77 int av_reduce(int *dst_num, int *dst_den, int64_t num, int64_t den, int64_t max); 78 79 /** 80 * Multiply two rationals. 81 * @param b first rational 82 * @param c second rational 83 * @return b*c 84 */ 85 AVRational av_mul_q(AVRational b, AVRational c); 86 87 /** 88 * Divide one rational by another. 89 * @param b first rational 90 * @param c second rational 91 * @return b/c 92 */ 93 AVRational av_div_q(AVRational b, AVRational c); 94 95 /** 96 * Add two rationals. 97 * @param b first rational 98 * @param c second rational 99 * @return b+c 100 */ 101 AVRational av_add_q(AVRational b, AVRational c); 102 103 /** 104 * Subtract one rational from another. 105 * @param b first rational 106 * @param c second rational 107 * @return b-c 108 */ 109 AVRational av_sub_q(AVRational b, AVRational c); 110 111 /** 112 * Convert a double precision floating point number to a rational. 113 * inf is expressed as {1,0} or {-1,0} depending on the sign. 114 * 115 * @param d double to convert 116 * @param max the maximum allowed numerator and denominator 117 * @return (AVRational) d 118 */ 119 AVRational av_d2q(double d, int max); 120 121 /** 122 * @return 1 if q1 is nearer to q than q2, -1 if q2 is nearer 123 * than q1, 0 if they have the same distance. 124 */ 125 int av_nearer_q(AVRational q, AVRational q1, AVRational q2); 126 127 /** 128 * Find the nearest value in q_list to q. 129 * @param q_list an array of rationals terminated by {0, 0} 130 * @return the index of the nearest value found in the array 131 */ 132 int av_find_nearest_q_idx(AVRational q, const AVRational* q_list);