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<div class="title">libavutil/rational.h</div> </div>
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<a href="rational_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*</span>
<a name="l00002"></a>00002 <span class="comment"> * rational numbers</span>
<a name="l00003"></a>00003 <span class="comment"> * Copyright (c) 2003 Michael Niedermayer <michaelni@gmx.at></span>
<a name="l00004"></a>00004 <span class="comment"> *</span>
<a name="l00005"></a>00005 <span class="comment"> * This file is part of FFmpeg.</span>
<a name="l00006"></a>00006 <span class="comment"> *</span>
<a name="l00007"></a>00007 <span class="comment"> * FFmpeg is free software; you can redistribute it and/or</span>
<a name="l00008"></a>00008 <span class="comment"> * modify it under the terms of the GNU Lesser General Public</span>
<a name="l00009"></a>00009 <span class="comment"> * License as published by the Free Software Foundation; either</span>
<a name="l00010"></a>00010 <span class="comment"> * version 2.1 of the License, or (at your option) any later version.</span>
<a name="l00011"></a>00011 <span class="comment"> *</span>
<a name="l00012"></a>00012 <span class="comment"> * FFmpeg is distributed in the hope that it will be useful,</span>
<a name="l00013"></a>00013 <span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span>
<a name="l00014"></a>00014 <span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU</span>
<a name="l00015"></a>00015 <span class="comment"> * Lesser General Public License for more details.</span>
<a name="l00016"></a>00016 <span class="comment"> *</span>
<a name="l00017"></a>00017 <span class="comment"> * You should have received a copy of the GNU Lesser General Public</span>
<a name="l00018"></a>00018 <span class="comment"> * License along with FFmpeg; if not, write to the Free Software</span>
<a name="l00019"></a>00019 <span class="comment"> * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA</span>
<a name="l00020"></a>00020 <span class="comment"> */</span>
<a name="l00021"></a>00021 <span class="comment"></span>
<a name="l00022"></a>00022 <span class="comment">/**</span>
<a name="l00023"></a>00023 <span class="comment"> * @file</span>
<a name="l00024"></a>00024 <span class="comment"> * rational numbers</span>
<a name="l00025"></a>00025 <span class="comment"> * @author Michael Niedermayer <michaelni@gmx.at></span>
<a name="l00026"></a>00026 <span class="comment"> */</span>
<a name="l00027"></a>00027
<a name="l00028"></a>00028 <span class="preprocessor">#ifndef AVUTIL_RATIONAL_H</span>
<a name="l00029"></a>00029 <span class="preprocessor"></span><span class="preprocessor">#define AVUTIL_RATIONAL_H</span>
<a name="l00030"></a>00030 <span class="preprocessor"></span>
<a name="l00031"></a>00031 <span class="preprocessor">#include <stdint.h></span>
<a name="l00032"></a>00032 <span class="preprocessor">#include <limits.h></span>
<a name="l00033"></a>00033 <span class="preprocessor">#include "<a class="code" href="attributes_8h.html" title="Macro definitions for various function/variable attributes.">attributes.h</a>"</span>
<a name="l00034"></a>00034 <span class="comment"></span>
<a name="l00035"></a>00035 <span class="comment">/**</span>
<a name="l00036"></a>00036 <span class="comment"> * @addtogroup lavu_math</span>
<a name="l00037"></a>00037 <span class="comment"> * @{</span>
<a name="l00038"></a>00038 <span class="comment"> */</span>
<a name="l00039"></a>00039 <span class="comment"></span>
<a name="l00040"></a>00040 <span class="comment">/**</span>
<a name="l00041"></a>00041 <span class="comment"> * rational number numerator/denominator</span>
<a name="l00042"></a>00042 <span class="comment"> */</span>
<a name="l00043"></a><a class="code" href="structAVRational.html">00043</a> <span class="keyword">typedef</span> <span class="keyword">struct </span><a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a>{
<a name="l00044"></a><a class="code" href="structAVRational.html#ae9a98c10a301c5e937095105b6f0fdb9">00044</a> <span class="keywordtype">int</span> <a class="code" href="structAVRational.html#ae9a98c10a301c5e937095105b6f0fdb9" title="numerator">num</a>; <span class="comment">///< numerator</span>
<a name="l00045"></a><a class="code" href="structAVRational.html#aee46bdac67d965ac0a4204e753f910c3">00045</a> <span class="comment"></span> <span class="keywordtype">int</span> <a class="code" href="structAVRational.html#aee46bdac67d965ac0a4204e753f910c3" title="denominator">den</a>; <span class="comment">///< denominator</span>
<a name="l00046"></a>00046 <span class="comment"></span>} <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a>;
<a name="l00047"></a>00047 <span class="comment"></span>
<a name="l00048"></a>00048 <span class="comment">/**</span>
<a name="l00049"></a>00049 <span class="comment"> * Create a rational.</span>
<a name="l00050"></a>00050 <span class="comment"> * Useful for compilers that do not support compound literals.</span>
<a name="l00051"></a>00051 <span class="comment"> * @note The return value is not reduced.</span>
<a name="l00052"></a>00052 <span class="comment"> */</span>
<a name="l00053"></a><a class="code" href="group__lavu__math.html#ga7778b1d209ceb3e4bf34e40150d3b882">00053</a> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> <a class="code" href="group__lavu__math.html#ga7778b1d209ceb3e4bf34e40150d3b882" title="Create a rational.">av_make_q</a>(<span class="keywordtype">int</span> num, <span class="keywordtype">int</span> den)
<a name="l00054"></a>00054 {
<a name="l00055"></a>00055 <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> r = { num, den };
<a name="l00056"></a>00056 <span class="keywordflow">return</span> r;
<a name="l00057"></a>00057 }
<a name="l00058"></a>00058 <span class="comment"></span>
<a name="l00059"></a>00059 <span class="comment">/**</span>
<a name="l00060"></a>00060 <span class="comment"> * Compare two rationals.</span>
<a name="l00061"></a>00061 <span class="comment"> * @param a first rational</span>
<a name="l00062"></a>00062 <span class="comment"> * @param b second rational</span>
<a name="l00063"></a>00063 <span class="comment"> * @return 0 if a==b, 1 if a>b, -1 if a<b, and INT_MIN if one of the</span>
<a name="l00064"></a>00064 <span class="comment"> * values is of the form 0/0</span>
<a name="l00065"></a>00065 <span class="comment"> */</span>
<a name="l00066"></a><a class="code" href="group__lavu__math.html#gaa440bf42ede128219a571ae4ce0f90b8">00066</a> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="group__lavu__math.html#gaa440bf42ede128219a571ae4ce0f90b8" title="Compare two rationals.">av_cmp_q</a>(<a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> a, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> b){
<a name="l00067"></a>00067 <span class="keyword">const</span> int64_t tmp= a.<a class="code" href="structAVRational.html#ae9a98c10a301c5e937095105b6f0fdb9" title="numerator">num</a> * (int64_t)b.<a class="code" href="structAVRational.html#aee46bdac67d965ac0a4204e753f910c3" title="denominator">den</a> - b.<a class="code" href="structAVRational.html#ae9a98c10a301c5e937095105b6f0fdb9" title="numerator">num</a> * (int64_t)a.<a class="code" href="structAVRational.html#aee46bdac67d965ac0a4204e753f910c3" title="denominator">den</a>;
<a name="l00068"></a>00068
<a name="l00069"></a>00069 <span class="keywordflow">if</span>(tmp) <span class="keywordflow">return</span> (<span class="keywordtype">int</span>)((tmp ^ a.<a class="code" href="structAVRational.html#aee46bdac67d965ac0a4204e753f910c3" title="denominator">den</a> ^ b.<a class="code" href="structAVRational.html#aee46bdac67d965ac0a4204e753f910c3" title="denominator">den</a>)>>63)|1;
<a name="l00070"></a>00070 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(b.<a class="code" href="structAVRational.html#aee46bdac67d965ac0a4204e753f910c3" title="denominator">den</a> && a.<a class="code" href="structAVRational.html#aee46bdac67d965ac0a4204e753f910c3" title="denominator">den</a>) <span class="keywordflow">return</span> 0;
<a name="l00071"></a>00071 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(a.<a class="code" href="structAVRational.html#ae9a98c10a301c5e937095105b6f0fdb9" title="numerator">num</a> && b.<a class="code" href="structAVRational.html#ae9a98c10a301c5e937095105b6f0fdb9" title="numerator">num</a>) <span class="keywordflow">return</span> (a.<a class="code" href="structAVRational.html#ae9a98c10a301c5e937095105b6f0fdb9" title="numerator">num</a>>>31) - (b.<a class="code" href="structAVRational.html#ae9a98c10a301c5e937095105b6f0fdb9" title="numerator">num</a>>>31);
<a name="l00072"></a>00072 <span class="keywordflow">else</span> <span class="keywordflow">return</span> INT_MIN;
<a name="l00073"></a>00073 }
<a name="l00074"></a>00074 <span class="comment"></span>
<a name="l00075"></a>00075 <span class="comment">/**</span>
<a name="l00076"></a>00076 <span class="comment"> * Convert rational to double.</span>
<a name="l00077"></a>00077 <span class="comment"> * @param a rational to convert</span>
<a name="l00078"></a>00078 <span class="comment"> * @return (double) a</span>
<a name="l00079"></a>00079 <span class="comment"> */</span>
<a name="l00080"></a><a class="code" href="group__lavu__math.html#ga935dbbf6bde8dfe5fa7ddb1da582eb07">00080</a> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group__lavu__math.html#ga935dbbf6bde8dfe5fa7ddb1da582eb07" title="Convert rational to double.">av_q2d</a>(<a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> a){
<a name="l00081"></a>00081 <span class="keywordflow">return</span> a.<a class="code" href="structAVRational.html#ae9a98c10a301c5e937095105b6f0fdb9" title="numerator">num</a> / (double) a.<a class="code" href="structAVRational.html#aee46bdac67d965ac0a4204e753f910c3" title="denominator">den</a>;
<a name="l00082"></a>00082 }
<a name="l00083"></a>00083 <span class="comment"></span>
<a name="l00084"></a>00084 <span class="comment">/**</span>
<a name="l00085"></a>00085 <span class="comment"> * Reduce a fraction.</span>
<a name="l00086"></a>00086 <span class="comment"> * This is useful for framerate calculations.</span>
<a name="l00087"></a>00087 <span class="comment"> * @param dst_num destination numerator</span>
<a name="l00088"></a>00088 <span class="comment"> * @param dst_den destination denominator</span>
<a name="l00089"></a>00089 <span class="comment"> * @param num source numerator</span>
<a name="l00090"></a>00090 <span class="comment"> * @param den source denominator</span>
<a name="l00091"></a>00091 <span class="comment"> * @param max the maximum allowed for dst_num & dst_den</span>
<a name="l00092"></a>00092 <span class="comment"> * @return 1 if exact, 0 otherwise</span>
<a name="l00093"></a>00093 <span class="comment"> */</span>
<a name="l00094"></a>00094 <span class="keywordtype">int</span> <a class="code" href="group__lavu__math.html#ga4fd9c0b8e663cf3d55e89fbc6ce71602" title="Reduce a fraction.">av_reduce</a>(<span class="keywordtype">int</span> *dst_num, <span class="keywordtype">int</span> *dst_den, int64_t num, int64_t den, int64_t max);
<a name="l00095"></a>00095 <span class="comment"></span>
<a name="l00096"></a>00096 <span class="comment">/**</span>
<a name="l00097"></a>00097 <span class="comment"> * Multiply two rationals.</span>
<a name="l00098"></a>00098 <span class="comment"> * @param b first rational</span>
<a name="l00099"></a>00099 <span class="comment"> * @param c second rational</span>
<a name="l00100"></a>00100 <span class="comment"> * @return b*c</span>
<a name="l00101"></a>00101 <span class="comment"> */</span>
<a name="l00102"></a>00102 <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> <a class="code" href="group__lavu__math.html#ga3f9c69432582e2857147bcba3c75dc32" title="Multiply two rationals.">av_mul_q</a>(<a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> b, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> c) <a class="code" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a>;
<a name="l00103"></a>00103 <span class="comment"></span>
<a name="l00104"></a>00104 <span class="comment">/**</span>
<a name="l00105"></a>00105 <span class="comment"> * Divide one rational by another.</span>
<a name="l00106"></a>00106 <span class="comment"> * @param b first rational</span>
<a name="l00107"></a>00107 <span class="comment"> * @param c second rational</span>
<a name="l00108"></a>00108 <span class="comment"> * @return b/c</span>
<a name="l00109"></a>00109 <span class="comment"> */</span>
<a name="l00110"></a>00110 <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> <a class="code" href="group__lavu__math.html#gaffa24e7bd38e12dbac540d8b66461f97" title="Divide one rational by another.">av_div_q</a>(<a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> b, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> c) <a class="code" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a>;
<a name="l00111"></a>00111 <span class="comment"></span>
<a name="l00112"></a>00112 <span class="comment">/**</span>
<a name="l00113"></a>00113 <span class="comment"> * Add two rationals.</span>
<a name="l00114"></a>00114 <span class="comment"> * @param b first rational</span>
<a name="l00115"></a>00115 <span class="comment"> * @param c second rational</span>
<a name="l00116"></a>00116 <span class="comment"> * @return b+c</span>
<a name="l00117"></a>00117 <span class="comment"> */</span>
<a name="l00118"></a>00118 <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> <a class="code" href="group__lavu__math.html#ga2eb3a275aabacd8421f140a12bab4a91" title="Add two rationals.">av_add_q</a>(<a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> b, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> c) <a class="code" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a>;
<a name="l00119"></a>00119 <span class="comment"></span>
<a name="l00120"></a>00120 <span class="comment">/**</span>
<a name="l00121"></a>00121 <span class="comment"> * Subtract one rational from another.</span>
<a name="l00122"></a>00122 <span class="comment"> * @param b first rational</span>
<a name="l00123"></a>00123 <span class="comment"> * @param c second rational</span>
<a name="l00124"></a>00124 <span class="comment"> * @return b-c</span>
<a name="l00125"></a>00125 <span class="comment"> */</span>
<a name="l00126"></a>00126 <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> <a class="code" href="group__lavu__math.html#gac66c6198ce5e8a8caf88dfc20782fa59" title="Subtract one rational from another.">av_sub_q</a>(<a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> b, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> c) <a class="code" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a>;
<a name="l00127"></a>00127 <span class="comment"></span>
<a name="l00128"></a>00128 <span class="comment">/**</span>
<a name="l00129"></a>00129 <span class="comment"> * Invert a rational.</span>
<a name="l00130"></a>00130 <span class="comment"> * @param q value</span>
<a name="l00131"></a>00131 <span class="comment"> * @return 1 / q</span>
<a name="l00132"></a>00132 <span class="comment"> */</span>
<a name="l00133"></a><a class="code" href="group__lavu__math.html#gab646f0a7cc30af543ba4a91b37f9de6e">00133</a> <span class="keyword">static</span> av_always_inline <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> <a class="code" href="group__lavu__math.html#gab646f0a7cc30af543ba4a91b37f9de6e" title="Invert a rational.">av_inv_q</a>(<a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> q)
<a name="l00134"></a>00134 {
<a name="l00135"></a>00135 <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> r = { q.<a class="code" href="structAVRational.html#aee46bdac67d965ac0a4204e753f910c3" title="denominator">den</a>, q.<a class="code" href="structAVRational.html#ae9a98c10a301c5e937095105b6f0fdb9" title="numerator">num</a> };
<a name="l00136"></a>00136 <span class="keywordflow">return</span> r;
<a name="l00137"></a>00137 }
<a name="l00138"></a>00138 <span class="comment"></span>
<a name="l00139"></a>00139 <span class="comment">/**</span>
<a name="l00140"></a>00140 <span class="comment"> * Convert a double precision floating point number to a rational.</span>
<a name="l00141"></a>00141 <span class="comment"> * inf is expressed as {1,0} or {-1,0} depending on the sign.</span>
<a name="l00142"></a>00142 <span class="comment"> *</span>
<a name="l00143"></a>00143 <span class="comment"> * @param d double to convert</span>
<a name="l00144"></a>00144 <span class="comment"> * @param max the maximum allowed numerator and denominator</span>
<a name="l00145"></a>00145 <span class="comment"> * @return (AVRational) d</span>
<a name="l00146"></a>00146 <span class="comment"> */</span>
<a name="l00147"></a>00147 <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> <a class="code" href="group__lavu__math.html#ga7dfd5ba1eb1edf5845ac32b338de9e76" title="Convert a double precision floating point number to a rational.">av_d2q</a>(<span class="keywordtype">double</span> d, <span class="keywordtype">int</span> max) <a class="code" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a>;
<a name="l00148"></a>00148 <span class="comment"></span>
<a name="l00149"></a>00149 <span class="comment">/**</span>
<a name="l00150"></a>00150 <span class="comment"> * @return 1 if q1 is nearer to q than q2, -1 if q2 is nearer</span>
<a name="l00151"></a>00151 <span class="comment"> * than q1, 0 if they have the same distance.</span>
<a name="l00152"></a>00152 <span class="comment"> */</span>
<a name="l00153"></a>00153 <span class="keywordtype">int</span> <a class="code" href="group__lavu__math.html#ga111810c563749cd3081aaa19004f44df">av_nearer_q</a>(<a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> q, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> q1, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> q2);
<a name="l00154"></a>00154 <span class="comment"></span>
<a name="l00155"></a>00155 <span class="comment">/**</span>
<a name="l00156"></a>00156 <span class="comment"> * Find the nearest value in q_list to q.</span>
<a name="l00157"></a>00157 <span class="comment"> * @param q_list an array of rationals terminated by {0, 0}</span>
<a name="l00158"></a>00158 <span class="comment"> * @return the index of the nearest value found in the array</span>
<a name="l00159"></a>00159 <span class="comment"> */</span>
<a name="l00160"></a>00160 <span class="keywordtype">int</span> <a class="code" href="group__lavu__math.html#ga63d5ef1c2f77a5fdccb2b3a1c8cc77f5" title="Find the nearest value in q_list to q.">av_find_nearest_q_idx</a>(<a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> q, <span class="keyword">const</span> <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a>* q_list);
<a name="l00161"></a>00161 <span class="comment"></span>
<a name="l00162"></a>00162 <span class="comment">/**</span>
<a name="l00163"></a>00163 <span class="comment"> * Converts a AVRational to a IEEE 32bit float.</span>
<a name="l00164"></a>00164 <span class="comment"> *</span>
<a name="l00165"></a>00165 <span class="comment"> * The float is returned in a uint32_t and its value is platform indepenant.</span>
<a name="l00166"></a>00166 <span class="comment"> */</span>
<a name="l00167"></a>00167 uint32_t <a class="code" href="group__lavu__math.html#gafbcd96878344ade957d5bccc6bc705b2" title="Converts a AVRational to a IEEE 32bit float.">av_q2intfloat</a>(<a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> q);
<a name="l00168"></a>00168 <span class="comment"></span>
<a name="l00169"></a>00169 <span class="comment">/**</span>
<a name="l00170"></a>00170 <span class="comment"> * @}</span>
<a name="l00171"></a>00171 <span class="comment"> */</span>
<a name="l00172"></a>00172
<a name="l00173"></a>00173 <span class="preprocessor">#endif </span><span class="comment">/* AVUTIL_RATIONAL_H */</span>
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