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<li class="navelem"><a class="el" href="dir_8d855866ba5d436d839c7fc557836cd9.html">libavutil</a></li> </ul>
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<div class="title">mathematics.h</div> </div>
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<a href="mathematics_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * copyright (c) 2005-2012 Michael Niedermayer <michaelni@gmx.at></span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * This file is part of FFmpeg.</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * FFmpeg is free software; you can redistribute it and/or</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * modify it under the terms of the GNU Lesser General Public</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> * License as published by the Free Software Foundation; either</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * version 2.1 of the License, or (at your option) any later version.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * FFmpeg is distributed in the hope that it will be useful,</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * Lesser General Public License for more details.</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * You should have received a copy of the GNU Lesser General Public</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * License along with FFmpeg; if not, write to the Free Software</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#ifndef AVUTIL_MATHEMATICS_H</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor"></span><span class="preprocessor">#define AVUTIL_MATHEMATICS_H</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdint.h></span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <math.h></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="attributes_8h.html">attributes.h</a>"</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="rational_8h.html">rational.h</a>"</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="intfloat_8h.html">intfloat.h</a>"</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#ifndef M_E</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="mathematics_8h.html#a9bf5d952c5c93c70f9e66c9794d406c9"> 31</a></span> <span class="preprocessor"></span><span class="preprocessor">#define M_E 2.7182818284590452354 </span><span class="comment">/* e */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor"></span><span class="preprocessor">#ifndef M_LN2</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="mathematics_8h.html#a92428112a5d24721208748774a4f23e6"> 34</a></span> <span class="preprocessor"></span><span class="preprocessor">#define M_LN2 0.69314718055994530942 </span><span class="comment">/* log_e 2 */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor"></span><span class="preprocessor">#ifndef M_LN10</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="mathematics_8h.html#a0a53871497a155afe91424c28a8ec3c4"> 37</a></span> <span class="preprocessor"></span><span class="preprocessor">#define M_LN10 2.30258509299404568402 </span><span class="comment">/* log_e 10 */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor"></span><span class="preprocessor">#ifndef M_LOG2_10</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="mathematics_8h.html#acff9e2147736afc56953d382f2627a7f"> 40</a></span> <span class="preprocessor"></span><span class="preprocessor">#define M_LOG2_10 3.32192809488736234787 </span><span class="comment">/* log_2 10 */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor"></span><span class="preprocessor">#ifndef M_PHI</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="mathematics_8h.html#a0b670a815abc4a54faea56cb74b9723e"> 43</a></span> <span class="preprocessor"></span><span class="preprocessor">#define M_PHI 1.61803398874989484820 </span><span class="comment">/* phi / golden ratio */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor"></span><span class="preprocessor">#ifndef M_PI</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="mathematics_8h.html#ae71449b1cc6e6250b91f539153a7a0d3"> 46</a></span> <span class="preprocessor"></span><span class="preprocessor">#define M_PI 3.14159265358979323846 </span><span class="comment">/* pi */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor"></span><span class="preprocessor">#ifndef M_PI_2</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="mathematics_8h.html#a958e4508ed28ee5cc04249144312c15f"> 49</a></span> <span class="preprocessor"></span><span class="preprocessor">#define M_PI_2 1.57079632679489661923 </span><span class="comment">/* pi/2 */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor"></span><span class="preprocessor">#ifndef M_SQRT1_2</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="mathematics_8h.html#acdbb2c2f9429f08916f03c8786d2d2d7"> 52</a></span> <span class="preprocessor"></span><span class="preprocessor">#define M_SQRT1_2 0.70710678118654752440 </span><span class="comment">/* 1/sqrt(2) */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor"></span><span class="preprocessor">#ifndef M_SQRT2</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="mathematics_8h.html#a66b3ab30f1332874326ed93969e496e0"> 55</a></span> <span class="preprocessor"></span><span class="preprocessor">#define M_SQRT2 1.41421356237309504880 </span><span class="comment">/* sqrt(2) */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="preprocessor"></span><span class="preprocessor">#ifndef NAN</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="mathematics_8h.html#a8abfcc76130f3f991d124dd22d7e69bc"> 58</a></span> <span class="preprocessor"></span><span class="preprocessor">#define NAN av_int2float(0x7fc00000)</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="preprocessor"></span><span class="preprocessor">#ifndef INFINITY</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="mathematics_8h.html#a956e2723d559858d08644ac99146e910"> 61</a></span> <span class="preprocessor"></span><span class="preprocessor">#define INFINITY av_int2float(0x7f800000)</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="preprocessor"></span><span class="comment"></span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment"> * @addtogroup lavu_math</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment"> * @{</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="group__lavu__math.html#ga921d656eaf2c4d6800a734a13af021d0"> 70</a></span> <span class="keyword">enum</span> <a class="code" href="group__lavu__math.html#ga921d656eaf2c4d6800a734a13af021d0">AVRounding</a> {</div>
<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a35e291756025351803b97f7522b56eab"> 71</a></span>  <a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a35e291756025351803b97f7522b56eab">AV_ROUND_ZERO</a> = 0, <span class="comment">///< Round toward zero.</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a0ac08aede35de739ec5d0c1ba6217126"> 72</a></span> <span class="comment"></span> <a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a0ac08aede35de739ec5d0c1ba6217126">AV_ROUND_INF</a> = 1, <span class="comment">///< Round away from zero.</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a4a4b2c2c77b7e20884440f7e57cfdb98"> 73</a></span> <span class="comment"></span> <a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a4a4b2c2c77b7e20884440f7e57cfdb98">AV_ROUND_DOWN</a> = 2, <span class="comment">///< Round toward -infinity.</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0aa1d28e08e2f8b49b256e056f93038c1a"> 74</a></span> <span class="comment"></span> <a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0aa1d28e08e2f8b49b256e056f93038c1a">AV_ROUND_UP</a> = 3, <span class="comment">///< Round toward +infinity.</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0aea95b00154ff83c740b46376dfa06e11"> 75</a></span> <span class="comment"></span> <a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0aea95b00154ff83c740b46376dfa06e11">AV_ROUND_NEAR_INF</a> = 5, <span class="comment">///< Round to nearest and halfway cases away from zero.</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a7fcb56631d6898b282d6c78ce6c14a43"> 76</a></span> <span class="comment"></span> <a class="code" href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a7fcb56631d6898b282d6c78ce6c14a43">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></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="comment"></span>};</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="comment"></span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="comment"> * Compute the greatest common divisor of a and b.</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="comment"> * @return gcd of a and b up to sign; if a >= 0 and b >= 0, return value is >= 0;</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="comment"> * if a == 0 and b == 0, returns 0.</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> int64_t <a class="code" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a> <a class="code" href="group__lavu__math.html#ga952147c7a40c48a05c39e918b153ba99">av_gcd</a>(int64_t a, int64_t b);</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="comment"></span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="comment"> * Rescale a 64-bit integer with rounding to nearest.</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="comment"> * A simple a*b/c isn't possible as it can overflow.</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> int64_t <a class="code" href="group__lavu__math.html#ga3daf97178dd1b08b5e916be381cd33e4">av_rescale</a>(int64_t a, int64_t b, int64_t c) <a class="code" href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a>;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="comment"></span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment"> * Rescale a 64-bit integer with specified rounding.</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment"> * A simple a*b/c isn't possible as it can overflow.</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment"> * @return rescaled value a, or if AV_ROUND_PASS_MINMAX is set and a is</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment"> * INT64_MIN or INT64_MAX then a is passed through unchanged.</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> int64_t <a class="code" href="group__lavu__math.html#gad686ab94939ed4c65218309e94bdca72">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>;</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="comment"></span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="comment"> * Rescale a 64-bit integer by 2 rational numbers.</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> int64_t <a class="code" href="group__lavu__math.html#gaf02994a8bbeaa91d4757df179cbe567f">av_rescale_q</a>(int64_t a, <a class="code" href="structAVRational.html">AVRational</a> bq, <a class="code" href="structAVRational.html">AVRational</a> cq) av_const;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="comment"></span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="comment"> * Rescale a 64-bit integer by 2 rational numbers with specified rounding.</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment"> * @return rescaled value a, or if AV_ROUND_PASS_MINMAX is set and a is</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment"> * INT64_MIN or INT64_MAX then a is passed through unchanged.</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> int64_t <a class="code" href="group__lavu__math.html#gac167a841d10ac919407e77ae35391cf3">av_rescale_q_rnd</a>(int64_t a, <a class="code" href="structAVRational.html">AVRational</a> bq, <a class="code" href="structAVRational.html">AVRational</a> cq,</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  enum <a class="code" href="group__lavu__math.html#ga921d656eaf2c4d6800a734a13af021d0">AVRounding</a>) av_const;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment"></span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="comment"> * Compare 2 timestamps each in its own timebases.</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="comment"> * The result of the function is undefined if one of the timestamps</span></div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment"> * is outside the int64_t range when represented in the others timebase.</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <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></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="keywordtype">int</span> <a class="code" href="group__lavu__math.html#ga151744358fff630942b926e67e67c415">av_compare_ts</a>(int64_t ts_a, <a class="code" href="structAVRational.html">AVRational</a> tb_a, int64_t ts_b, <a class="code" href="structAVRational.html">AVRational</a> tb_b);</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment"></span></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="comment"> * Compare 2 integers modulo mod.</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment"> * That is we compare integers a and b for which only the least</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="comment"> * significant log2(mod) bits are known.</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="comment"> * @param mod must be a power of 2</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment"> * @return a negative value if a is smaller than b</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment"> * a positive value if a is greater than b</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment"> * 0 if a equals b</span></div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> int64_t <a class="code" href="group__lavu__math.html#gaf268a1dde957d04da846e026e2ebe6e8">av_compare_mod</a>(uint64_t a, uint64_t b, uint64_t mod);</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="comment"></span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="comment"> * Rescale a timestamp while preserving known durations.</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="comment"> * @param in_ts Input timestamp</span></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="comment"> * @param in_tb Input timebase</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="comment"> * @param fs_tb Duration and *last timebase</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="comment"> * @param duration duration till the next call</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="comment"> * @param out_tb Output timebase</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> int64_t <a class="code" href="group__lavu__math.html#ga29b7c3d60d68ef678ee1f4adc61a25dc">av_rescale_delta</a>(<a class="code" href="structAVRational.html">AVRational</a> in_tb, int64_t in_ts, <a class="code" href="structAVRational.html">AVRational</a> fs_tb, <span class="keywordtype">int</span> duration, int64_t *last, <a class="code" href="structAVRational.html">AVRational</a> out_tb);</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="comment"></span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="comment"> * Add a value to a timestamp.</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="comment"> * This function guarantees that when the same value is repeatly added that</span></div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="comment"> * no accumulation of rounding errors occurs.</span></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="comment"> * @param ts Input timestamp</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> <span class="comment"> * @param ts_tb Input timestamp timebase</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="comment"> * @param inc value to add to ts</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="comment"> * @param inc_tb inc timebase</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> int64_t <a class="code" href="group__lavu__math.html#ga0c4f9ed3f4102125be7451ad4d848a2f">av_add_stable</a>(<a class="code" href="structAVRational.html">AVRational</a> ts_tb, int64_t ts, <a class="code" href="structAVRational.html">AVRational</a> inc_tb, int64_t inc);</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> </div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <span class="comment"></span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="comment"> * @}</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> </div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="preprocessor">#endif </span><span class="comment">/* AVUTIL_MATHEMATICS_H */</span><span class="preprocessor"></span></div>
<div class="ttc" id="attributes_8h_html_a9eaead3cde73464fd66bab4cef9307ad"><div class="ttname"><a href="attributes_8h.html#a9eaead3cde73464fd66bab4cef9307ad">av_const</a></div><div class="ttdeci">#define av_const</div><div class="ttdef"><b>Definition:</b> <a href="attributes_8h_source.html#l00076">attributes.h:76</a></div></div>
<div class="ttc" id="group__lavu__math_html_gad686ab94939ed4c65218309e94bdca72"><div class="ttname"><a href="group__lavu__math.html#gad686ab94939ed4c65218309e94bdca72">av_rescale_rnd</a></div><div class="ttdeci">int64_t av_rescale_rnd(int64_t a, int64_t b, int64_t c, enum AVRounding) av_const</div><div class="ttdoc">Rescale a 64-bit integer with specified rounding. </div></div>
<div class="ttc" id="group__lavu__math_html_ga921d656eaf2c4d6800a734a13af021d0"><div class="ttname"><a href="group__lavu__math.html#ga921d656eaf2c4d6800a734a13af021d0">AVRounding</a></div><div class="ttdeci">AVRounding</div><div class="ttdef"><b>Definition:</b> <a href="mathematics_8h_source.html#l00070">mathematics.h:70</a></div></div>
<div class="ttc" id="attributes_8h_html"><div class="ttname"><a href="attributes_8h.html">attributes.h</a></div><div class="ttdoc">Macro definitions for various function/variable attributes. </div></div>
<div class="ttc" id="group__lavu__math_html_gga921d656eaf2c4d6800a734a13af021d0aa1d28e08e2f8b49b256e056f93038c1a"><div class="ttname"><a href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0aa1d28e08e2f8b49b256e056f93038c1a">AV_ROUND_UP</a></div><div class="ttdoc">Round toward +infinity. </div><div class="ttdef"><b>Definition:</b> <a href="mathematics_8h_source.html#l00074">mathematics.h:74</a></div></div>
<div class="ttc" id="intfloat_8h_html"><div class="ttname"><a href="intfloat_8h.html">intfloat.h</a></div></div>
<div class="ttc" id="group__lavu__math_html_gaf02994a8bbeaa91d4757df179cbe567f"><div class="ttname"><a href="group__lavu__math.html#gaf02994a8bbeaa91d4757df179cbe567f">av_rescale_q</a></div><div class="ttdeci">int64_t av_rescale_q(int64_t a, AVRational bq, AVRational cq) av_const</div><div class="ttdoc">Rescale a 64-bit integer by 2 rational numbers. </div></div>
<div class="ttc" id="group__lavu__math_html_gga921d656eaf2c4d6800a734a13af021d0a0ac08aede35de739ec5d0c1ba6217126"><div class="ttname"><a href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a0ac08aede35de739ec5d0c1ba6217126">AV_ROUND_INF</a></div><div class="ttdoc">Round away from zero. </div><div class="ttdef"><b>Definition:</b> <a href="mathematics_8h_source.html#l00072">mathematics.h:72</a></div></div>
<div class="ttc" id="group__lavu__math_html_gga921d656eaf2c4d6800a734a13af021d0aea95b00154ff83c740b46376dfa06e11"><div class="ttname"><a href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0aea95b00154ff83c740b46376dfa06e11">AV_ROUND_NEAR_INF</a></div><div class="ttdoc">Round to nearest and halfway cases away from zero. </div><div class="ttdef"><b>Definition:</b> <a href="mathematics_8h_source.html#l00075">mathematics.h:75</a></div></div>
<div class="ttc" id="group__lavu__math_html_ga952147c7a40c48a05c39e918b153ba99"><div class="ttname"><a href="group__lavu__math.html#ga952147c7a40c48a05c39e918b153ba99">av_gcd</a></div><div class="ttdeci">int64_t av_const av_gcd(int64_t a, int64_t b)</div><div class="ttdoc">Compute the greatest common divisor of a and b. </div></div>
<div class="ttc" id="group__lavu__math_html_ga151744358fff630942b926e67e67c415"><div class="ttname"><a href="group__lavu__math.html#ga151744358fff630942b926e67e67c415">av_compare_ts</a></div><div class="ttdeci">int av_compare_ts(int64_t ts_a, AVRational tb_a, int64_t ts_b, AVRational tb_b)</div><div class="ttdoc">Compare 2 timestamps each in its own timebases. </div></div>
<div class="ttc" id="group__lavu__math_html_gac167a841d10ac919407e77ae35391cf3"><div class="ttname"><a href="group__lavu__math.html#gac167a841d10ac919407e77ae35391cf3">av_rescale_q_rnd</a></div><div class="ttdeci">int64_t av_rescale_q_rnd(int64_t a, AVRational bq, AVRational cq, enum AVRounding) av_const</div><div class="ttdoc">Rescale a 64-bit integer by 2 rational numbers with specified rounding. </div></div>
<div class="ttc" id="group__lavu__math_html_ga3daf97178dd1b08b5e916be381cd33e4"><div class="ttname"><a href="group__lavu__math.html#ga3daf97178dd1b08b5e916be381cd33e4">av_rescale</a></div><div class="ttdeci">int64_t av_rescale(int64_t a, int64_t b, int64_t c) av_const</div><div class="ttdoc">Rescale a 64-bit integer with rounding to nearest. </div></div>
<div class="ttc" id="group__lavu__math_html_gga921d656eaf2c4d6800a734a13af021d0a35e291756025351803b97f7522b56eab"><div class="ttname"><a href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a35e291756025351803b97f7522b56eab">AV_ROUND_ZERO</a></div><div class="ttdoc">Round toward zero. </div><div class="ttdef"><b>Definition:</b> <a href="mathematics_8h_source.html#l00071">mathematics.h:71</a></div></div>
<div class="ttc" id="group__lavu__math_html_ga29b7c3d60d68ef678ee1f4adc61a25dc"><div class="ttname"><a href="group__lavu__math.html#ga29b7c3d60d68ef678ee1f4adc61a25dc">av_rescale_delta</a></div><div class="ttdeci">int64_t av_rescale_delta(AVRational in_tb, int64_t in_ts, AVRational fs_tb, int duration, int64_t *last, AVRational out_tb)</div><div class="ttdoc">Rescale a timestamp while preserving known durations. </div></div>
<div class="ttc" id="structAVRational_html"><div class="ttname"><a href="structAVRational.html">AVRational</a></div><div class="ttdoc">rational number numerator/denominator </div><div class="ttdef"><b>Definition:</b> <a href="rational_8h_source.html#l00043">rational.h:43</a></div></div>
<div class="ttc" id="group__lavu__math_html_gga921d656eaf2c4d6800a734a13af021d0a4a4b2c2c77b7e20884440f7e57cfdb98"><div class="ttname"><a href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a4a4b2c2c77b7e20884440f7e57cfdb98">AV_ROUND_DOWN</a></div><div class="ttdoc">Round toward -infinity. </div><div class="ttdef"><b>Definition:</b> <a href="mathematics_8h_source.html#l00073">mathematics.h:73</a></div></div>
<div class="ttc" id="rational_8h_html"><div class="ttname"><a href="rational_8h.html">rational.h</a></div><div class="ttdoc">rational numbers </div></div>
<div class="ttc" id="group__lavu__math_html_ga0c4f9ed3f4102125be7451ad4d848a2f"><div class="ttname"><a href="group__lavu__math.html#ga0c4f9ed3f4102125be7451ad4d848a2f">av_add_stable</a></div><div class="ttdeci">int64_t av_add_stable(AVRational ts_tb, int64_t ts, AVRational inc_tb, int64_t inc)</div><div class="ttdoc">Add a value to a timestamp. </div></div>
<div class="ttc" id="group__lavu__math_html_gga921d656eaf2c4d6800a734a13af021d0a7fcb56631d6898b282d6c78ce6c14a43"><div class="ttname"><a href="group__lavu__math.html#gga921d656eaf2c4d6800a734a13af021d0a7fcb56631d6898b282d6c78ce6c14a43">AV_ROUND_PASS_MINMAX</a></div><div class="ttdoc">Flag to pass INT64_MIN/MAX through instead of rescaling, this avoids special cases for AV_NOPTS_VALUE...</div><div class="ttdef"><b>Definition:</b> <a href="mathematics_8h_source.html#l00076">mathematics.h:76</a></div></div>
<div class="ttc" id="group__lavu__math_html_gaf268a1dde957d04da846e026e2ebe6e8"><div class="ttname"><a href="group__lavu__math.html#gaf268a1dde957d04da846e026e2ebe6e8">av_compare_mod</a></div><div class="ttdeci">int64_t av_compare_mod(uint64_t a, uint64_t b, uint64_t mod)</div><div class="ttdoc">Compare 2 integers modulo mod. </div></div>
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