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<a href="mathematics_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"> * copyright (c) 2005-2012 Michael Niedermayer <michaelni@gmx.at></span>
<a name="l00003"></a>00003 <span class="comment"> *</span>
<a name="l00004"></a>00004 <span class="comment"> * This file is part of FFmpeg.</span>
<a name="l00005"></a>00005 <span class="comment"> *</span>
<a name="l00006"></a>00006 <span class="comment"> * FFmpeg is free software; you can redistribute it and/or</span>
<a name="l00007"></a>00007 <span class="comment"> * modify it under the terms of the GNU Lesser General Public</span>
<a name="l00008"></a>00008 <span class="comment"> * License as published by the Free Software Foundation; either</span>
<a name="l00009"></a>00009 <span class="comment"> * version 2.1 of the License, or (at your option) any later version.</span>
<a name="l00010"></a>00010 <span class="comment"> *</span>
<a name="l00011"></a>00011 <span class="comment"> * FFmpeg is distributed in the hope that it will be useful,</span>
<a name="l00012"></a>00012 <span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span>
<a name="l00013"></a>00013 <span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU</span>
<a name="l00014"></a>00014 <span class="comment"> * Lesser General Public License for more details.</span>
<a name="l00015"></a>00015 <span class="comment"> *</span>
<a name="l00016"></a>00016 <span class="comment"> * You should have received a copy of the GNU Lesser General Public</span>
<a name="l00017"></a>00017 <span class="comment"> * License along with FFmpeg; if not, write to the Free Software</span>
<a name="l00018"></a>00018 <span class="comment"> * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA</span>
<a name="l00019"></a>00019 <span class="comment"> */</span>
<a name="l00020"></a>00020
<a name="l00021"></a>00021 <span class="preprocessor">#ifndef AVUTIL_MATHEMATICS_H</span>
<a name="l00022"></a>00022 <span class="preprocessor"></span><span class="preprocessor">#define AVUTIL_MATHEMATICS_H</span>
<a name="l00023"></a>00023 <span class="preprocessor"></span>
<a name="l00024"></a>00024 <span class="preprocessor">#include <stdint.h></span>
<a name="l00025"></a>00025 <span class="preprocessor">#include <math.h></span>
<a name="l00026"></a>00026 <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="l00027"></a>00027 <span class="preprocessor">#include "<a class="code" href="rational_8h.html" title="rational numbers">rational.h</a>"</span>
<a name="l00028"></a>00028 <span class="preprocessor">#include "<a class="code" href="intfloat_8h.html">intfloat.h</a>"</span>
<a name="l00029"></a>00029
<a name="l00030"></a>00030 <span class="preprocessor">#ifndef M_E</span>
<a name="l00031"></a>00031 <span class="preprocessor"></span><span class="preprocessor">#define M_E 2.7182818284590452354 </span><span class="comment">/* e */</span>
<a name="l00032"></a>00032 <span class="preprocessor">#endif</span>
<a name="l00033"></a>00033 <span class="preprocessor"></span><span class="preprocessor">#ifndef M_LN2</span>
<a name="l00034"></a>00034 <span class="preprocessor"></span><span class="preprocessor">#define M_LN2 0.69314718055994530942 </span><span class="comment">/* log_e 2 */</span>
<a name="l00035"></a>00035 <span class="preprocessor">#endif</span>
<a name="l00036"></a>00036 <span class="preprocessor"></span><span class="preprocessor">#ifndef M_LN10</span>
<a name="l00037"></a>00037 <span class="preprocessor"></span><span class="preprocessor">#define M_LN10 2.30258509299404568402 </span><span class="comment">/* log_e 10 */</span>
<a name="l00038"></a>00038 <span class="preprocessor">#endif</span>
<a name="l00039"></a>00039 <span class="preprocessor"></span><span class="preprocessor">#ifndef M_LOG2_10</span>
<a name="l00040"></a>00040 <span class="preprocessor"></span><span class="preprocessor">#define M_LOG2_10 3.32192809488736234787 </span><span class="comment">/* log_2 10 */</span>
<a name="l00041"></a>00041 <span class="preprocessor">#endif</span>
<a name="l00042"></a>00042 <span class="preprocessor"></span><span class="preprocessor">#ifndef M_PHI</span>
<a name="l00043"></a>00043 <span class="preprocessor"></span><span class="preprocessor">#define M_PHI 1.61803398874989484820 </span><span class="comment">/* phi / golden ratio */</span>
<a name="l00044"></a>00044 <span class="preprocessor">#endif</span>
<a name="l00045"></a>00045 <span class="preprocessor"></span><span class="preprocessor">#ifndef M_PI</span>
<a name="l00046"></a>00046 <span class="preprocessor"></span><span class="preprocessor">#define M_PI 3.14159265358979323846 </span><span class="comment">/* pi */</span>
<a name="l00047"></a>00047 <span class="preprocessor">#endif</span>
<a name="l00048"></a>00048 <span class="preprocessor"></span><span class="preprocessor">#ifndef M_PI_2</span>
<a name="l00049"></a>00049 <span class="preprocessor"></span><span class="preprocessor">#define M_PI_2 1.57079632679489661923 </span><span class="comment">/* pi/2 */</span>
<a name="l00050"></a>00050 <span class="preprocessor">#endif</span>
<a name="l00051"></a>00051 <span class="preprocessor"></span><span class="preprocessor">#ifndef M_SQRT1_2</span>
<a name="l00052"></a>00052 <span class="preprocessor"></span><span class="preprocessor">#define M_SQRT1_2 0.70710678118654752440 </span><span class="comment">/* 1/sqrt(2) */</span>
<a name="l00053"></a>00053 <span class="preprocessor">#endif</span>
<a name="l00054"></a>00054 <span class="preprocessor"></span><span class="preprocessor">#ifndef M_SQRT2</span>
<a name="l00055"></a>00055 <span class="preprocessor"></span><span class="preprocessor">#define M_SQRT2 1.41421356237309504880 </span><span class="comment">/* sqrt(2) */</span>
<a name="l00056"></a>00056 <span class="preprocessor">#endif</span>
<a name="l00057"></a>00057 <span class="preprocessor"></span><span class="preprocessor">#ifndef NAN</span>
<a name="l00058"></a>00058 <span class="preprocessor"></span><span class="preprocessor">#define NAN av_int2float(0x7fc00000)</span>
<a name="l00059"></a>00059 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00060"></a>00060 <span class="preprocessor"></span><span class="preprocessor">#ifndef INFINITY</span>
<a name="l00061"></a>00061 <span class="preprocessor"></span><span class="preprocessor">#define INFINITY av_int2float(0x7f800000)</span>
<a name="l00062"></a>00062 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00063"></a>00063 <span class="preprocessor"></span><span class="comment"></span>
<a name="l00064"></a>00064 <span class="comment">/**</span>
<a name="l00065"></a>00065 <span class="comment"> * @addtogroup lavu_math</span>
<a name="l00066"></a>00066 <span class="comment"> * @{</span>
<a name="l00067"></a>00067 <span class="comment"> */</span>
<a name="l00068"></a>00068
<a name="l00069"></a>00069
<a name="l00070"></a><a class="code" href="group__lavu__math.html#ga921d656eaf2c4d6800a734a13af021d0">00070</a> <span class="keyword">enum</span> <a class="code" href="group__lavu__math.html#ga921d656eaf2c4d6800a734a13af021d0">AVRounding</a> {
<a name="l00071"></a><a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a35e291756025351803b97f7522b56eab">00071</a> <a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a35e291756025351803b97f7522b56eab" title="Round toward zero.">AV_ROUND_ZERO</a> = 0, <span class="comment">///< Round toward zero.</span>
<a name="l00072"></a><a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a0ac08aede35de739ec5d0c1ba6217126">00072</a> <span class="comment"></span> <a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a0ac08aede35de739ec5d0c1ba6217126" title="Round away from zero.">AV_ROUND_INF</a> = 1, <span class="comment">///< Round away from zero.</span>
<a name="l00073"></a><a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a4a4b2c2c77b7e20884440f7e57cfdb98">00073</a> <span class="comment"></span> <a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a4a4b2c2c77b7e20884440f7e57cfdb98" title="Round toward -infinity.">AV_ROUND_DOWN</a> = 2, <span class="comment">///< Round toward -infinity.</span>
<a name="l00074"></a><a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0aa1d28e08e2f8b49b256e056f93038c1a">00074</a> <span class="comment"></span> <a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0aa1d28e08e2f8b49b256e056f93038c1a" title="Round toward +infinity.">AV_ROUND_UP</a> = 3, <span class="comment">///< Round toward +infinity.</span>
<a name="l00075"></a><a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0aea95b00154ff83c740b46376dfa06e11">00075</a> <span class="comment"></span> <a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0aea95b00154ff83c740b46376dfa06e11" title="Round to nearest and halfway cases away from zero.">AV_ROUND_NEAR_INF</a> = 5, <span class="comment">///< Round to nearest and halfway cases away from zero.</span>
<a name="l00076"></a><a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a7fcb56631d6898b282d6c78ce6c14a43">00076</a> <span class="comment"></span> <a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a7fcb56631d6898b282d6c78ce6c14a43" title="Flag to pass INT64_MIN/MAX through instead of rescaling, this avoids special cases for AV_NOPTS_VALUE...">AV_ROUND_PASS_MINMAX</a> = 8192, <span class="comment">///< Flag to pass INT64_MIN/MAX through instead of rescaling, this avoids special cases for AV_NOPTS_VALUE</span>
<a name="l00077"></a>00077 <span class="comment"></span>};
<a name="l00078"></a>00078 <span class="comment"></span>
<a name="l00079"></a>00079 <span class="comment">/**</span>
<a name="l00080"></a>00080 <span class="comment"> * Return the greatest common divisor of a and b.</span>
<a name="l00081"></a>00081 <span class="comment"> * If both a and b are 0 or either or both are <0 then behavior is</span>
<a name="l00082"></a>00082 <span class="comment"> * undefined.</span>
<a name="l00083"></a>00083 <span class="comment"> */</span>
<a name="l00084"></a>00084 int64_t <a class="code" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a> <a class="code" href="group__lavu__math.html#ga952147c7a40c48a05c39e918b153ba99" title="Return the greatest common divisor of a and b.">av_gcd</a>(int64_t a, int64_t b);
<a name="l00085"></a>00085 <span class="comment"></span>
<a name="l00086"></a>00086 <span class="comment">/**</span>
<a name="l00087"></a>00087 <span class="comment"> * Rescale a 64-bit integer with rounding to nearest.</span>
<a name="l00088"></a>00088 <span class="comment"> * A simple a*b/c isn't possible as it can overflow.</span>
<a name="l00089"></a>00089 <span class="comment"> */</span>
<a name="l00090"></a>00090 int64_t <a class="code" href="group__lavu__math.html#ga3daf97178dd1b08b5e916be381cd33e4" title="Rescale a 64-bit integer with rounding to nearest.">av_rescale</a>(int64_t a, int64_t b, int64_t c) <a class="code" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a>;
<a name="l00091"></a>00091 <span class="comment"></span>
<a name="l00092"></a>00092 <span class="comment">/**</span>
<a name="l00093"></a>00093 <span class="comment"> * Rescale a 64-bit integer with specified rounding.</span>
<a name="l00094"></a>00094 <span class="comment"> * A simple a*b/c isn't possible as it can overflow.</span>
<a name="l00095"></a>00095 <span class="comment"> *</span>
<a name="l00096"></a>00096 <span class="comment"> * @return rescaled value a, or if AV_ROUND_PASS_MINMAX is set and a is</span>
<a name="l00097"></a>00097 <span class="comment"> * INT64_MIN or INT64_MAX then a is passed through unchanged.</span>
<a name="l00098"></a>00098 <span class="comment"> */</span>
<a name="l00099"></a>00099 int64_t <a class="code" href="group__lavu__math.html#gad686ab94939ed4c65218309e94bdca72" title="Rescale a 64-bit integer with specified rounding.">av_rescale_rnd</a>(int64_t a, int64_t b, int64_t c, <span class="keyword">enum</span> <a class="code" href="group__lavu__math.html#ga921d656eaf2c4d6800a734a13af021d0">AVRounding</a>) <a class="code" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a>;
<a name="l00100"></a>00100 <span class="comment"></span>
<a name="l00101"></a>00101 <span class="comment">/**</span>
<a name="l00102"></a>00102 <span class="comment"> * Rescale a 64-bit integer by 2 rational numbers.</span>
<a name="l00103"></a>00103 <span class="comment"> */</span>
<a name="l00104"></a>00104 int64_t <a class="code" href="group__lavu__math.html#gaf02994a8bbeaa91d4757df179cbe567f" title="Rescale a 64-bit integer by 2 rational numbers.">av_rescale_q</a>(int64_t a, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> bq, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> cq) av_const;
<a name="l00105"></a>00105 <span class="comment"></span>
<a name="l00106"></a>00106 <span class="comment">/**</span>
<a name="l00107"></a>00107 <span class="comment"> * Rescale a 64-bit integer by 2 rational numbers with specified rounding.</span>
<a name="l00108"></a>00108 <span class="comment"> *</span>
<a name="l00109"></a>00109 <span class="comment"> * @return rescaled value a, or if AV_ROUND_PASS_MINMAX is set and a is</span>
<a name="l00110"></a>00110 <span class="comment"> * INT64_MIN or INT64_MAX then a is passed through unchanged.</span>
<a name="l00111"></a>00111 <span class="comment"> */</span>
<a name="l00112"></a>00112 int64_t <a class="code" href="group__lavu__math.html#gac167a841d10ac919407e77ae35391cf3" title="Rescale a 64-bit integer by 2 rational numbers with specified rounding.">av_rescale_q_rnd</a>(int64_t a, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> bq, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> cq,
<a name="l00113"></a>00113 enum <a class="code" href="group__lavu__math.html#ga921d656eaf2c4d6800a734a13af021d0">AVRounding</a>) av_const;
<a name="l00114"></a>00114 <span class="comment"></span>
<a name="l00115"></a>00115 <span class="comment">/**</span>
<a name="l00116"></a>00116 <span class="comment"> * Compare 2 timestamps each in its own timebases.</span>
<a name="l00117"></a>00117 <span class="comment"> * The result of the function is undefined if one of the timestamps</span>
<a name="l00118"></a>00118 <span class="comment"> * is outside the int64_t range when represented in the others timebase.</span>
<a name="l00119"></a>00119 <span class="comment"> * @return -1 if ts_a is before ts_b, 1 if ts_a is after ts_b or 0 if they represent the same position</span>
<a name="l00120"></a>00120 <span class="comment"> */</span>
<a name="l00121"></a>00121 <span class="keywordtype">int</span> <a class="code" href="group__lavu__math.html#ga151744358fff630942b926e67e67c415" title="Compare 2 timestamps each in its own timebases.">av_compare_ts</a>(int64_t ts_a, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> tb_a, int64_t ts_b, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> tb_b);
<a name="l00122"></a>00122 <span class="comment"></span>
<a name="l00123"></a>00123 <span class="comment">/**</span>
<a name="l00124"></a>00124 <span class="comment"> * Compare 2 integers modulo mod.</span>
<a name="l00125"></a>00125 <span class="comment"> * That is we compare integers a and b for which only the least</span>
<a name="l00126"></a>00126 <span class="comment"> * significant log2(mod) bits are known.</span>
<a name="l00127"></a>00127 <span class="comment"> *</span>
<a name="l00128"></a>00128 <span class="comment"> * @param mod must be a power of 2</span>
<a name="l00129"></a>00129 <span class="comment"> * @return a negative value if a is smaller than b</span>
<a name="l00130"></a>00130 <span class="comment"> * a positive value if a is greater than b</span>
<a name="l00131"></a>00131 <span class="comment"> * 0 if a equals b</span>
<a name="l00132"></a>00132 <span class="comment"> */</span>
<a name="l00133"></a>00133 int64_t <a class="code" href="group__lavu__math.html#gaf268a1dde957d04da846e026e2ebe6e8" title="Compare 2 integers modulo mod.">av_compare_mod</a>(uint64_t a, uint64_t b, uint64_t mod);
<a name="l00134"></a>00134 <span class="comment"></span>
<a name="l00135"></a>00135 <span class="comment">/**</span>
<a name="l00136"></a>00136 <span class="comment"> * Rescale a timestamp while preserving known durations.</span>
<a name="l00137"></a>00137 <span class="comment"> *</span>
<a name="l00138"></a>00138 <span class="comment"> * @param in_ts Input timestamp</span>
<a name="l00139"></a>00139 <span class="comment"> * @param in_tb Input timebase</span>
<a name="l00140"></a>00140 <span class="comment"> * @param fs_tb Duration and *last timebase</span>
<a name="l00141"></a>00141 <span class="comment"> * @param duration duration till the next call</span>
<a name="l00142"></a>00142 <span class="comment"> * @param out_tb Output timebase</span>
<a name="l00143"></a>00143 <span class="comment"> */</span>
<a name="l00144"></a>00144 int64_t <a class="code" href="group__lavu__math.html#ga29b7c3d60d68ef678ee1f4adc61a25dc" title="Rescale a timestamp while preserving known durations.">av_rescale_delta</a>(<a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> in_tb, int64_t in_ts, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> fs_tb, <span class="keywordtype">int</span> duration, int64_t *last, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> out_tb);
<a name="l00145"></a>00145 <span class="comment"></span>
<a name="l00146"></a>00146 <span class="comment">/**</span>
<a name="l00147"></a>00147 <span class="comment"> * Add a value to a timestamp.</span>
<a name="l00148"></a>00148 <span class="comment"> *</span>
<a name="l00149"></a>00149 <span class="comment"> * This function guarantees that when the same value is repeatly added that</span>
<a name="l00150"></a>00150 <span class="comment"> * no accumulation of rounding errors occurs.</span>
<a name="l00151"></a>00151 <span class="comment"> *</span>
<a name="l00152"></a>00152 <span class="comment"> * @param ts Input timestamp</span>
<a name="l00153"></a>00153 <span class="comment"> * @param ts_tb Input timestamp timebase</span>
<a name="l00154"></a>00154 <span class="comment"> * @param inc value to add to ts</span>
<a name="l00155"></a>00155 <span class="comment"> * @param inc_tb inc timebase</span>
<a name="l00156"></a>00156 <span class="comment"> */</span>
<a name="l00157"></a>00157 int64_t <a class="code" href="group__lavu__math.html#ga0c4f9ed3f4102125be7451ad4d848a2f" title="Add a value to a timestamp.">av_add_stable</a>(<a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> ts_tb, int64_t ts, <a class="code" href="structAVRational.html" title="rational number numerator/denominator">AVRational</a> inc_tb, int64_t inc);
<a name="l00158"></a>00158
<a name="l00159"></a>00159 <span class="comment"></span>
<a name="l00160"></a>00160 <span class="comment"> /**</span>
<a name="l00161"></a>00161 <span class="comment"> * @}</span>
<a name="l00162"></a>00162 <span class="comment"> */</span>
<a name="l00163"></a>00163
<a name="l00164"></a>00164 <span class="preprocessor">#endif </span><span class="comment">/* AVUTIL_MATHEMATICS_H */</span>
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