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<div class="title">mathematics.h File Reference</div> </div>
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<div class="textblock"><code>#include <stdint.h></code><br/>
<code>#include <math.h></code><br/>
<code>#include "<a class="el" href="attributes_8h_source.html">attributes.h</a>"</code><br/>
<code>#include "<a class="el" href="rational_8h_source.html">rational.h</a>"</code><br/>
<code>#include "<a class="el" href="intfloat_8h_source.html">intfloat.h</a>"</code><br/>
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<p><a href="mathematics_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
Macros</h2></td></tr>
<tr class="memitem:a9bf5d952c5c93c70f9e66c9794d406c9"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="mathematics_8h.html#a9bf5d952c5c93c70f9e66c9794d406c9">M_E</a>   2.7182818284590452354 /* e */</td></tr>
<tr class="separator:a9bf5d952c5c93c70f9e66c9794d406c9"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a92428112a5d24721208748774a4f23e6"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="mathematics_8h.html#a92428112a5d24721208748774a4f23e6">M_LN2</a>   0.69314718055994530942 /* log_e 2 */</td></tr>
<tr class="separator:a92428112a5d24721208748774a4f23e6"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a0a53871497a155afe91424c28a8ec3c4"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="mathematics_8h.html#a0a53871497a155afe91424c28a8ec3c4">M_LN10</a>   2.30258509299404568402 /* log_e 10 */</td></tr>
<tr class="separator:a0a53871497a155afe91424c28a8ec3c4"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:acff9e2147736afc56953d382f2627a7f"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="mathematics_8h.html#acff9e2147736afc56953d382f2627a7f">M_LOG2_10</a>   3.32192809488736234787 /* log_2 10 */</td></tr>
<tr class="separator:acff9e2147736afc56953d382f2627a7f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a0b670a815abc4a54faea56cb74b9723e"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="mathematics_8h.html#a0b670a815abc4a54faea56cb74b9723e">M_PHI</a>   1.61803398874989484820 /* phi / golden ratio */</td></tr>
<tr class="separator:a0b670a815abc4a54faea56cb74b9723e"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ae71449b1cc6e6250b91f539153a7a0d3"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="mathematics_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">M_PI</a>   3.14159265358979323846 /* pi */</td></tr>
<tr class="separator:ae71449b1cc6e6250b91f539153a7a0d3"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a958e4508ed28ee5cc04249144312c15f"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="mathematics_8h.html#a958e4508ed28ee5cc04249144312c15f">M_PI_2</a>   1.57079632679489661923 /* pi/2 */</td></tr>
<tr class="separator:a958e4508ed28ee5cc04249144312c15f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:acdbb2c2f9429f08916f03c8786d2d2d7"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="mathematics_8h.html#acdbb2c2f9429f08916f03c8786d2d2d7">M_SQRT1_2</a>   0.70710678118654752440 /* 1/sqrt(2) */</td></tr>
<tr class="separator:acdbb2c2f9429f08916f03c8786d2d2d7"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a66b3ab30f1332874326ed93969e496e0"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="mathematics_8h.html#a66b3ab30f1332874326ed93969e496e0">M_SQRT2</a>   1.41421356237309504880 /* sqrt(2) */</td></tr>
<tr class="separator:a66b3ab30f1332874326ed93969e496e0"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a8abfcc76130f3f991d124dd22d7e69bc"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="mathematics_8h.html#a8abfcc76130f3f991d124dd22d7e69bc">NAN</a>   <a class="el" href="intfloat_8h.html#a2dc216ec0441d07d650e42d7bdb94b00">av_int2float</a>(0x7fc00000)</td></tr>
<tr class="separator:a8abfcc76130f3f991d124dd22d7e69bc"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a956e2723d559858d08644ac99146e910"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="mathematics_8h.html#a956e2723d559858d08644ac99146e910">INFINITY</a>   <a class="el" href="intfloat_8h.html#a2dc216ec0441d07d650e42d7bdb94b00">av_int2float</a>(0x7f800000)</td></tr>
<tr class="separator:a956e2723d559858d08644ac99146e910"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="enum-members"></a>
Enumerations</h2></td></tr>
<tr class="memitem:ga921d656eaf2c4d6800a734a13af021d0"><td class="memItemLeft" align="right" valign="top">enum  </td><td class="memItemRight" valign="bottom"><a class="el" href="group__lavu__math.html#ga921d656eaf2c4d6800a734a13af021d0">AVRounding</a> { <br/>
  <a class="el" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a35e291756025351803b97f7522b56eab">AV_ROUND_ZERO</a> = 0,
<a class="el" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a0ac08aede35de739ec5d0c1ba6217126">AV_ROUND_INF</a> = 1,
<a class="el" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a4a4b2c2c77b7e20884440f7e57cfdb98">AV_ROUND_DOWN</a> = 2,
<a class="el" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0aa1d28e08e2f8b49b256e056f93038c1a">AV_ROUND_UP</a> = 3,
<br/>
  <a class="el" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0aea95b00154ff83c740b46376dfa06e11">AV_ROUND_NEAR_INF</a> = 5,
<a class="el" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a7fcb56631d6898b282d6c78ce6c14a43">AV_ROUND_PASS_MINMAX</a> = 8192
<br/>
}</td></tr>
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Functions</h2></td></tr>
<tr class="memitem:ga952147c7a40c48a05c39e918b153ba99"><td class="memItemLeft" align="right" valign="top">int64_t <a class="el" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__lavu__math.html#ga952147c7a40c48a05c39e918b153ba99">av_gcd</a> (int64_t a, int64_t b)</td></tr>
<tr class="memdesc:ga952147c7a40c48a05c39e918b153ba99"><td class="mdescLeft"> </td><td class="mdescRight">Compute the greatest common divisor of a and b. <a href="group__lavu__math.html#ga952147c7a40c48a05c39e918b153ba99">More...</a><br/></td></tr>
<tr class="separator:ga952147c7a40c48a05c39e918b153ba99"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga3daf97178dd1b08b5e916be381cd33e4"><td class="memItemLeft" align="right" valign="top">int64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group__lavu__math.html#ga3daf97178dd1b08b5e916be381cd33e4">av_rescale</a> (int64_t a, int64_t b, int64_t c) <a class="el" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a></td></tr>
<tr class="memdesc:ga3daf97178dd1b08b5e916be381cd33e4"><td class="mdescLeft"> </td><td class="mdescRight">Rescale a 64-bit integer with rounding to nearest. <a href="group__lavu__math.html#ga3daf97178dd1b08b5e916be381cd33e4">More...</a><br/></td></tr>
<tr class="separator:ga3daf97178dd1b08b5e916be381cd33e4"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gad686ab94939ed4c65218309e94bdca72"><td class="memItemLeft" align="right" valign="top">int64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group__lavu__math.html#gad686ab94939ed4c65218309e94bdca72">av_rescale_rnd</a> (int64_t a, int64_t b, int64_t c, enum <a class="el" href="group__lavu__math.html#ga921d656eaf2c4d6800a734a13af021d0">AVRounding</a>) <a class="el" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a></td></tr>
<tr class="memdesc:gad686ab94939ed4c65218309e94bdca72"><td class="mdescLeft"> </td><td class="mdescRight">Rescale a 64-bit integer with specified rounding. <a href="group__lavu__math.html#gad686ab94939ed4c65218309e94bdca72">More...</a><br/></td></tr>
<tr class="separator:gad686ab94939ed4c65218309e94bdca72"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaf02994a8bbeaa91d4757df179cbe567f"><td class="memItemLeft" align="right" valign="top">int64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group__lavu__math.html#gaf02994a8bbeaa91d4757df179cbe567f">av_rescale_q</a> (int64_t a, <a class="el" href="structAVRational.html">AVRational</a> bq, <a class="el" href="structAVRational.html">AVRational</a> cq) <a class="el" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a></td></tr>
<tr class="memdesc:gaf02994a8bbeaa91d4757df179cbe567f"><td class="mdescLeft"> </td><td class="mdescRight">Rescale a 64-bit integer by 2 rational numbers. <a href="group__lavu__math.html#gaf02994a8bbeaa91d4757df179cbe567f">More...</a><br/></td></tr>
<tr class="separator:gaf02994a8bbeaa91d4757df179cbe567f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gac167a841d10ac919407e77ae35391cf3"><td class="memItemLeft" align="right" valign="top">int64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group__lavu__math.html#gac167a841d10ac919407e77ae35391cf3">av_rescale_q_rnd</a> (int64_t a, <a class="el" href="structAVRational.html">AVRational</a> bq, <a class="el" href="structAVRational.html">AVRational</a> cq, enum <a class="el" href="group__lavu__math.html#ga921d656eaf2c4d6800a734a13af021d0">AVRounding</a>) <a class="el" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a></td></tr>
<tr class="memdesc:gac167a841d10ac919407e77ae35391cf3"><td class="mdescLeft"> </td><td class="mdescRight">Rescale a 64-bit integer by 2 rational numbers with specified rounding. <a href="group__lavu__math.html#gac167a841d10ac919407e77ae35391cf3">More...</a><br/></td></tr>
<tr class="separator:gac167a841d10ac919407e77ae35391cf3"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga151744358fff630942b926e67e67c415"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="group__lavu__math.html#ga151744358fff630942b926e67e67c415">av_compare_ts</a> (int64_t ts_a, <a class="el" href="structAVRational.html">AVRational</a> tb_a, int64_t ts_b, <a class="el" href="structAVRational.html">AVRational</a> tb_b)</td></tr>
<tr class="memdesc:ga151744358fff630942b926e67e67c415"><td class="mdescLeft"> </td><td class="mdescRight">Compare 2 timestamps each in its own timebases. <a href="group__lavu__math.html#ga151744358fff630942b926e67e67c415">More...</a><br/></td></tr>
<tr class="separator:ga151744358fff630942b926e67e67c415"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaf268a1dde957d04da846e026e2ebe6e8"><td class="memItemLeft" align="right" valign="top">int64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group__lavu__math.html#gaf268a1dde957d04da846e026e2ebe6e8">av_compare_mod</a> (uint64_t a, uint64_t b, uint64_t mod)</td></tr>
<tr class="memdesc:gaf268a1dde957d04da846e026e2ebe6e8"><td class="mdescLeft"> </td><td class="mdescRight">Compare 2 integers modulo mod. <a href="group__lavu__math.html#gaf268a1dde957d04da846e026e2ebe6e8">More...</a><br/></td></tr>
<tr class="separator:gaf268a1dde957d04da846e026e2ebe6e8"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga29b7c3d60d68ef678ee1f4adc61a25dc"><td class="memItemLeft" align="right" valign="top">int64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group__lavu__math.html#ga29b7c3d60d68ef678ee1f4adc61a25dc">av_rescale_delta</a> (<a class="el" href="structAVRational.html">AVRational</a> in_tb, int64_t in_ts, <a class="el" href="structAVRational.html">AVRational</a> fs_tb, int duration, int64_t *last, <a class="el" href="structAVRational.html">AVRational</a> out_tb)</td></tr>
<tr class="memdesc:ga29b7c3d60d68ef678ee1f4adc61a25dc"><td class="mdescLeft"> </td><td class="mdescRight">Rescale a timestamp while preserving known durations. <a href="group__lavu__math.html#ga29b7c3d60d68ef678ee1f4adc61a25dc">More...</a><br/></td></tr>
<tr class="separator:ga29b7c3d60d68ef678ee1f4adc61a25dc"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga0c4f9ed3f4102125be7451ad4d848a2f"><td class="memItemLeft" align="right" valign="top">int64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group__lavu__math.html#ga0c4f9ed3f4102125be7451ad4d848a2f">av_add_stable</a> (<a class="el" href="structAVRational.html">AVRational</a> ts_tb, int64_t ts, <a class="el" href="structAVRational.html">AVRational</a> inc_tb, int64_t inc)</td></tr>
<tr class="memdesc:ga0c4f9ed3f4102125be7451ad4d848a2f"><td class="mdescLeft"> </td><td class="mdescRight">Add a value to a timestamp. <a href="group__lavu__math.html#ga0c4f9ed3f4102125be7451ad4d848a2f">More...</a><br/></td></tr>
<tr class="separator:ga0c4f9ed3f4102125be7451ad4d848a2f"><td class="memSeparator" colspan="2"> </td></tr>
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<h2 class="groupheader">Macro Definition Documentation</h2>
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<td class="memname">#define M_E   2.7182818284590452354 /* e */</td>
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<p>Definition at line <a class="el" href="mathematics_8h_source.html#l00031">31</a> of file <a class="el" href="mathematics_8h_source.html">mathematics.h</a>.</p>
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<td class="memname">#define M_LN2   0.69314718055994530942 /* log_e 2 */</td>
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<p>Definition at line <a class="el" href="mathematics_8h_source.html#l00034">34</a> of file <a class="el" href="mathematics_8h_source.html">mathematics.h</a>.</p>
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<td class="memname">#define M_LN10   2.30258509299404568402 /* log_e 10 */</td>
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<p>Definition at line <a class="el" href="mathematics_8h_source.html#l00037">37</a> of file <a class="el" href="mathematics_8h_source.html">mathematics.h</a>.</p>
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<td class="memname">#define M_LOG2_10   3.32192809488736234787 /* log_2 10 */</td>
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<p>Definition at line <a class="el" href="mathematics_8h_source.html#l00040">40</a> of file <a class="el" href="mathematics_8h_source.html">mathematics.h</a>.</p>
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<td class="memname">#define M_PHI   1.61803398874989484820 /* phi / golden ratio */</td>
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<p>Definition at line <a class="el" href="mathematics_8h_source.html#l00043">43</a> of file <a class="el" href="mathematics_8h_source.html">mathematics.h</a>.</p>
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<td class="memname">#define M_PI   3.14159265358979323846 /* pi */</td>
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<dl><dt><b>Examples: </b></dt><dd><a class="el" href="decoding_encoding_8c-example.html#a36">decoding_encoding.c</a>, <a class="el" href="filter_audio_8c-example.html#a49">filter_audio.c</a>, <a class="el" href="muxing_8c-example.html#a80">muxing.c</a>, and <a class="el" href="resampling_audio_8c-example.html#a11">resampling_audio.c</a>.</dd>
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<p>Definition at line <a class="el" href="mathematics_8h_source.html#l00046">46</a> of file <a class="el" href="mathematics_8h_source.html">mathematics.h</a>.</p>
<p>Referenced by <a class="el" href="decoding__encoding_8c_source.html#l00103">audio_encode_example()</a>, <a class="el" href="resampling__audio_8c_source.html#l00065">fill_samples()</a>, <a class="el" href="filter__audio_8c_source.html#l00242">get_input()</a>, and <a class="el" href="muxing_8c_source.html#l00209">open_audio()</a>.</p>
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<td class="memname">#define M_PI_2   1.57079632679489661923 /* pi/2 */</td>
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<p>Definition at line <a class="el" href="mathematics_8h_source.html#l00049">49</a> of file <a class="el" href="mathematics_8h_source.html">mathematics.h</a>.</p>
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<td class="memname">#define M_SQRT1_2   0.70710678118654752440 /* 1/sqrt(2) */</td>
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<p>Definition at line <a class="el" href="mathematics_8h_source.html#l00052">52</a> of file <a class="el" href="mathematics_8h_source.html">mathematics.h</a>.</p>
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<td class="memname">#define M_SQRT2   1.41421356237309504880 /* sqrt(2) */</td>
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<p>Definition at line <a class="el" href="mathematics_8h_source.html#l00055">55</a> of file <a class="el" href="mathematics_8h_source.html">mathematics.h</a>.</p>
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<td class="memname">#define NAN   <a class="el" href="intfloat_8h.html#a2dc216ec0441d07d650e42d7bdb94b00">av_int2float</a>(0x7fc00000)</td>
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<p>Definition at line <a class="el" href="mathematics_8h_source.html#l00058">58</a> of file <a class="el" href="mathematics_8h_source.html">mathematics.h</a>.</p>
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<td class="memname">#define INFINITY   <a class="el" href="intfloat_8h.html#a2dc216ec0441d07d650e42d7bdb94b00">av_int2float</a>(0x7f800000)</td>
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<p>Definition at line <a class="el" href="mathematics_8h_source.html#l00061">61</a> of file <a class="el" href="mathematics_8h_source.html">mathematics.h</a>.</p>
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