<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/> <meta http-equiv="X-UA-Compatible" content="IE=9"/> <meta name="generator" content="Doxygen 1.8.15"/> <meta name="viewport" content="width=device-width, initial-scale=1"/> <title>libstdc++: math.h Source File</title> <link href="tabs.css" rel="stylesheet" type="text/css"/> <script type="text/javascript" src="jquery.js"></script> <script type="text/javascript" src="dynsections.js"></script> <link href="navtree.css" rel="stylesheet" type="text/css"/> <script type="text/javascript" src="resize.js"></script> <script type="text/javascript" src="navtreedata.js"></script> <script type="text/javascript" src="navtree.js"></script> <script type="text/javascript"> /* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */ $(document).ready(initResizable); /* @license-end */</script> <link href="doxygen.css" rel="stylesheet" type="text/css" /> </head> <body> <div id="top"><!-- do not remove this div, it is closed by doxygen! --> <div id="titlearea"> <table cellspacing="0" cellpadding="0"> <tbody> <tr style="height: 56px;"> <td id="projectalign" style="padding-left: 0.5em;"> <div id="projectname">libstdc++ </div> </td> </tr> </tbody> </table> </div> <!-- end header part --> <!-- Generated by Doxygen 1.8.15 --> </div><!-- top --> <div id="side-nav" class="ui-resizable side-nav-resizable"> <div id="nav-tree"> <div id="nav-tree-contents"> <div id="nav-sync" class="sync"></div> </div> </div> <div id="splitbar" style="-moz-user-select:none;" class="ui-resizable-handle"> </div> </div> <script type="text/javascript"> /* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */ $(document).ready(function(){initNavTree('a00011_source.html','');}); /* @license-end */ </script> <div id="doc-content"> <div class="header"> <div class="headertitle"> <div class="title">math.h</div> </div> </div><!--header--> <div class="contents"> <a href="a00011.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">// -*- C++ -*- compatibility header.</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> </div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// Copyright (C) 2002-2018 Free Software Foundation, Inc.</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">//</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">// This file is part of the GNU ISO C++ Library. This library is free</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// software; you can redistribute it and/or modify it under the</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// terms of the GNU General Public License as published by the</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Free Software Foundation; either version 3, or (at your option)</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// any later version.</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> </div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// This library 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</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">// GNU General Public License for more details.</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> </div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">// Under Section 7 of GPL version 3, you are granted additional</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment">// permissions described in the GCC Runtime Library Exception, version</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment">// 3.1, as published by the Free Software Foundation.</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> </div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment">// You should have received a copy of the GNU General Public License and</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment">// a copy of the GCC Runtime Library Exception along with this program;</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment">// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment">// <http://www.gnu.org/licenses/>.</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"></span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment">/** @file math.h</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"> * This is a Standard C++ Library header.</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"> */</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#if !defined __cplusplus || defined _GLIBCXX_INCLUDE_NEXT_C_HEADERS</span></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor"># include_next <math.h></span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#else</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#ifndef _GLIBCXX_MATH_H</span></div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#define _GLIBCXX_MATH_H 1</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span> </div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor"># include <<a class="code" href="a00215.html">cmath</a>></span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">using</span> <a class="code" href="a01467.html#ga6e88fe698583fef1f7b3c3c379727143">std::abs</a>;</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">using</span> <a class="code" href="a01538.html#af4498ab9c6d4eae4f1258319085fe80c">std::acos</a>;</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">using</span> <a class="code" href="a01538.html#af94e28dea7bd5b71959fbc6be1070895">std::asin</a>;</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">using</span> <a class="code" href="a01538.html#a217a638ff609e744f9e5f5cf2837ec7c">std::atan</a>;</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="keyword">using</span> std::atan2;</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="keyword">using</span> <a class="code" href="a01467.html#gaed6443d175b556280b801357758d1526">std::cos</a>;</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="keyword">using</span> <a class="code" href="a01467.html#ga249915bcbce6563e63f5ffa6d464155a">std::sin</a>;</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="keyword">using</span> <a class="code" href="a01467.html#ga530419a3cf68024cd03985a4795214e3">std::tan</a>;</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="keyword">using</span> <a class="code" href="a01467.html#ga8ab9fb6ce0469e0144c41f40e49a63dc">std::cosh</a>;</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="keyword">using</span> <a class="code" href="a01467.html#gae30c461aa90a3e7d502737e29898570b">std::sinh</a>;</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="keyword">using</span> <a class="code" href="a01467.html#gaa4aa5a5b2f39aa309bd0add4864b3155">std::tanh</a>;</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="keyword">using</span> <a class="code" href="a01467.html#ga89579637d83fe041c9963cdcab272edd">std::exp</a>;</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">using</span> std::frexp;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="keyword">using</span> std::ldexp;</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">using</span> <a class="code" href="a01467.html#ga42f2de63a5c18a149f94b926d4d6bb21">std::log</a>;</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="keyword">using</span> <a class="code" href="a01467.html#ga070941f6cb66b0e4619891010c008250">std::log10</a>;</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">using</span> std::modf;</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">using</span> <a class="code" href="a01467.html#gaacf8017e100d619acab131da8a4017e1">std::pow</a>;</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">using</span> <a class="code" href="a01467.html#gaf91cd3409ab242d469bcc1b2d06624c3">std::sqrt</a>;</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">using</span> std::ceil;</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">using</span> <a class="code" href="a01538.html#a0b74e9caa6ce93221b5d88c296d33468">std::fabs</a>;</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">using</span> std::floor;</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="keyword">using</span> std::fmod;</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="preprocessor">#if _GLIBCXX_USE_C99_MATH</span></div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="keyword">using</span> std::fpclassify;</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="keyword">using</span> std::isfinite;</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="keyword">using</span> std::isinf;</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="keyword">using</span> std::isnan;</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="keyword">using</span> std::isnormal;</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="keyword">using</span> std::signbit;</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="keyword">using</span> std::isgreater;</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="keyword">using</span> std::isgreaterequal;</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">using</span> std::isless;</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="keyword">using</span> std::islessequal;</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="keyword">using</span> std::islessgreater;</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="keyword">using</span> std::isunordered;</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="preprocessor">#endif</span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span> </div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="preprocessor">#if __cplusplus >= 201103L && defined(_GLIBCXX_USE_C99_MATH_TR1)</span></div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="keyword">using</span> <a class="code" href="a01538.html#ac02c9d52b1f8d89d99508fb4a2107d44">std::acosh</a>;</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="keyword">using</span> <a class="code" href="a01538.html#a2135f46a5a1fcc1cd3399ef4e20f6249">std::asinh</a>;</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="keyword">using</span> <a class="code" href="a01538.html#abaa325495d208118ae2201fc82749a9e">std::atanh</a>;</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="keyword">using</span> std::cbrt;</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="keyword">using</span> std::copysign;</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="keyword">using</span> std::erf;</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="keyword">using</span> std::erfc;</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="keyword">using</span> std::exp2;</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="keyword">using</span> std::expm1;</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="keyword">using</span> std::fdim;</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="keyword">using</span> std::fma;</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="keyword">using</span> std::fmax;</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="keyword">using</span> std::fmin;</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="keyword">using</span> std::hypot;</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">using</span> std::ilogb;</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="keyword">using</span> std::lgamma;</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="keyword">using</span> std::llrint;</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="keyword">using</span> std::llround;</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="keyword">using</span> std::log1p;</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="keyword">using</span> std::log2;</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="keyword">using</span> std::logb;</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="keyword">using</span> std::lrint;</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="keyword">using</span> std::lround;</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="keyword">using</span> std::nearbyint;</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="keyword">using</span> std::nextafter;</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="keyword">using</span> std::nexttoward;</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="keyword">using</span> std::remainder;</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="keyword">using</span> std::remquo;</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="keyword">using</span> std::rint;</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="keyword">using</span> std::round;</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="keyword">using</span> std::scalbln;</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="keyword">using</span> std::scalbn;</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="keyword">using</span> std::tgamma;</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">using</span> std::trunc;</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="preprocessor">#endif // C++11 && _GLIBCXX_USE_C99_MATH_TR1</span></div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span> </div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="preprocessor">#if _GLIBCXX_USE_STD_SPEC_FUNCS</span></div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gaf83d98f350a1cfcebee6a1f723cf90d2">std::assoc_laguerref</a>;</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gac8e245671fb2df5de5fd978d03081f6c">std::assoc_laguerrel</a>;</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga377bb7e038c464a27dfe0573fd2d7b33">std::assoc_laguerre</a>;</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga3ced07ddd24bf4af56e2712d148e7f57">std::assoc_legendref</a>;</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga55977b425a539146f060dec1c8003344">std::assoc_legendrel</a>;</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga355349f79119c1fd1e2a9351cec57f0f">std::assoc_legendre</a>;</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga12dc61ee4c09172151cf092ed387e203">std::betaf</a>;</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga8caca1cef099f41a88111209c36ce06c">std::betal</a>;</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga6a7220c87c942db48b18b527d92bbd2d">std::beta</a>;</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga7fb5be999a8125cf7e55e630eb8444a1">std::comp_ellint_1f</a>;</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga7247d3dd77c1ff5df3c059fed862dc48">std::comp_ellint_1l</a>;</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gac559500c604c43ea943d593c9ad9d289">std::comp_ellint_1</a>;</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga21700f2f125c42b1f1da1f9c7eea1135">std::comp_ellint_2f</a>;</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga47b647ec386c8d4b18a030c97842df18">std::comp_ellint_2l</a>;</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga22fcc678829f0daf2de257896378e7e0">std::comp_ellint_2</a>;</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga76834d3112f777703330892303267a39">std::comp_ellint_3f</a>;</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga1ca081fee102cd0d4d6b091285e495e5">std::comp_ellint_3l</a>;</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gad833404645e24b7f0598a640ff92d623">std::comp_ellint_3</a>;</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gaaf738427d4da0bda66bc2274dfb853a7">std::cyl_bessel_if</a>;</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gab7962629216d03efb8ecaa3f70c6878f">std::cyl_bessel_il</a>;</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga1c9b5a5c36f000a4f0a55f7fcc486cb0">std::cyl_bessel_i</a>;</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga15731a7bccd6351d28353e3c4c2a2d23">std::cyl_bessel_jf</a>;</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gade8e94a80520a8b628b2d658755b25c0">std::cyl_bessel_jl</a>;</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga47e21a13b6d68d0d7f057699bd3b3ce0">std::cyl_bessel_j</a>;</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga1f50047f9aab0ec8b1a1615fe9fbe32f">std::cyl_bessel_kf</a>;</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gac35194b926270d7857d651e06198c7d3">std::cyl_bessel_kl</a>;</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga76dcd3884620955680112aca0d327ada">std::cyl_bessel_k</a>;</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga604c13e8f2bb7cd3c7c91d8b19d6b13a">std::cyl_neumannf</a>;</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gaf8986bae9a523c48d861d233835bda8f">std::cyl_neumannl</a>;</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga5b7c72ab85e361cbd73f1a3b5f0725a6">std::cyl_neumann</a>;</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga308d23d70f4b5e848eb7a4173628ef3b">std::ellint_1f</a>;</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga795383fa51e02351000b410b478d824f">std::ellint_1l</a>;</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gae6b3df5556f38a7d72f9b4457d856f9c">std::ellint_1</a>;</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga594a730163c6228c75b152462700062b">std::ellint_2f</a>;</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga5c791332d374a809d8ca16c69a1a30f5">std::ellint_2l</a>;</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gad6dd71db2b3f90d24ff49bf8cf37bc37">std::ellint_2</a>;</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga1a80bd2c15bc9fbecda2630a9e9409e7">std::ellint_3f</a>;</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gaa8c0e5864df8769021a7f3e21a30c5d2">std::ellint_3l</a>;</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga20832e3a67d25cc3d415cafc88019ac3">std::ellint_3</a>;</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga5842816f6eed2594e0a327df4e4a2a47">std::expintf</a>;</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga1329130b32328d0666e290ee5931fa4f">std::expintl</a>;</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga88ba17f5d050a6973ca4db1bf6e90590">std::expint</a>;</div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga94dae7444bb349e33057a92932db8abe">std::hermitef</a>;</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga21f8e312ee3e65286f86bf141b0f32e0">std::hermitel</a>;</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga97632b8bf77c323b2369e8d327965bdf">std::hermite</a>;</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gada763419b0e21b38e38daa8b6eb56a8c">std::laguerref</a>;</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gaaf8b141edf9163b37ea4f2ed3e0191fc">std::laguerrel</a>;</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gacae65579b397fddcd27954380d364a58">std::laguerre</a>;</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gaed94e3c664c99f5204da75be75aeac21">std::legendref</a>;</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga1b39bc22e3cc4860d08eb54099460391">std::legendrel</a>;</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gaf6eac7fcb98e25b8f3f7d1b95fa7add8">std::legendre</a>;</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gaf92063315061a56d3e2c4053156d968e">std::riemann_zetaf</a>;</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga1e92da3b878d75270f38d3ec9b513086">std::riemann_zetal</a>;</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga67a6bfed9b6ab692e8c798b674431424">std::riemann_zeta</a>;</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga534e36e1dcefad8daec98920db16eec4">std::sph_besself</a>;</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga11d72b1af81ce9da3c878a25087ee927">std::sph_bessell</a>;</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga478e517ed975bcb256de230e64f0fda5">std::sph_bessel</a>;</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="keyword">using</span> <a class="code" href="a01494.html#gaae635d28c06a3be2679901b382090852">std::sph_legendref</a>;</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga2f6618dea1847f09fd67f3c974c1910d">std::sph_legendrel</a>;</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga573842c12247b87746b548f1945755a8">std::sph_legendre</a>;</div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga789143122fa99536329bc2d1b1aac2f0">std::sph_neumannf</a>;</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga3cededa9b6e4601f190c3811e6aabfd6">std::sph_neumannl</a>;</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="keyword">using</span> <a class="code" href="a01494.html#ga1cf4362a67ab5bae9e6b69c867e85371">std::sph_neumann</a>;</div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="preprocessor">#endif // _GLIBCXX_USE_STD_SPEC_FUNCS</span></div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span> </div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="preprocessor">#endif // _GLIBCXX_MATH_H</span></div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="preprocessor">#endif // __cplusplus</span></div><div class="ttc" id="a01494_html_ga12dc61ee4c09172151cf092ed387e203"><div class="ttname"><a href="a01494.html#ga12dc61ee4c09172151cf092ed387e203">std::betaf</a></div><div class="ttdeci">float betaf(float __a, float __b)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00312">specfun.h:312</a></div></div> <div class="ttc" id="a01494_html_ga22fcc678829f0daf2de257896378e7e0"><div class="ttname"><a href="a01494.html#ga22fcc678829f0daf2de257896378e7e0">std::comp_ellint_2</a></div><div class="ttdeci">__gnu_cxx::__promote< _Tp >::__type comp_ellint_2(_Tp __k)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00438">specfun.h:438</a></div></div> <div class="ttc" id="a01494_html_gade8e94a80520a8b628b2d658755b25c0"><div class="ttname"><a href="a01494.html#gade8e94a80520a8b628b2d658755b25c0">std::cyl_bessel_jl</a></div><div class="ttdeci">long double cyl_bessel_jl(long double __nu, long double __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00560">specfun.h:560</a></div></div> <div class="ttc" id="a01494_html_gaf8986bae9a523c48d861d233835bda8f"><div class="ttname"><a href="a01494.html#gaf8986bae9a523c48d861d233835bda8f">std::cyl_neumannl</a></div><div class="ttdeci">long double cyl_neumannl(long double __nu, long double __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00658">specfun.h:658</a></div></div> <div class="ttc" id="a01494_html_gad833404645e24b7f0598a640ff92d623"><div class="ttname"><a href="a01494.html#gad833404645e24b7f0598a640ff92d623">std::comp_ellint_3</a></div><div class="ttdeci">__gnu_cxx::__promote_2< _Tp, _Tpn >::__type comp_ellint_3(_Tp __k, _Tpn __nu)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00489">specfun.h:489</a></div></div> <div class="ttc" id="a01494_html_ga573842c12247b87746b548f1945755a8"><div class="ttname"><a href="a01494.html#ga573842c12247b87746b548f1945755a8">std::sph_legendre</a></div><div class="ttdeci">__gnu_cxx::__promote< _Tp >::__type sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l01149">specfun.h:1149</a></div></div> <div class="ttc" id="a01494_html_gaf6eac7fcb98e25b8f3f7d1b95fa7add8"><div class="ttname"><a href="a01494.html#gaf6eac7fcb98e25b8f3f7d1b95fa7add8">std::legendre</a></div><div class="ttdeci">__gnu_cxx::__promote< _Tp >::__type legendre(unsigned int __l, _Tp __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l01007">specfun.h:1007</a></div></div> <div class="ttc" id="a01494_html_ga76dcd3884620955680112aca0d327ada"><div class="ttname"><a href="a01494.html#ga76dcd3884620955680112aca0d327ada">std::cyl_bessel_k</a></div><div class="ttdeci">__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type cyl_bessel_k(_Tpnu __nu, _Tp __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00633">specfun.h:633</a></div></div> <div class="ttc" id="a01494_html_ga789143122fa99536329bc2d1b1aac2f0"><div class="ttname"><a href="a01494.html#ga789143122fa99536329bc2d1b1aac2f0">std::sph_neumannf</a></div><div class="ttdeci">float sph_neumannf(unsigned int __n, float __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l01164">specfun.h:1164</a></div></div> <div class="ttc" id="a01494_html_ga377bb7e038c464a27dfe0573fd2d7b33"><div class="ttname"><a href="a01494.html#ga377bb7e038c464a27dfe0573fd2d7b33">std::assoc_laguerre</a></div><div class="ttdeci">__gnu_cxx::__promote< _Tp >::__type assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00252">specfun.h:252</a></div></div> <div class="ttc" id="a00215_html"><div class="ttname"><a href="a00215.html">cmath</a></div></div> <div class="ttc" id="a01494_html_ga76834d3112f777703330892303267a39"><div class="ttname"><a href="a01494.html#ga76834d3112f777703330892303267a39">std::comp_ellint_3f</a></div><div class="ttdeci">float comp_ellint_3f(float __k, float __nu)</div><div class="ttdoc">Return the complete elliptic integral of the third kind for float modulus k.</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00453">specfun.h:453</a></div></div> <div class="ttc" id="a01494_html_ga11d72b1af81ce9da3c878a25087ee927"><div class="ttname"><a href="a01494.html#ga11d72b1af81ce9da3c878a25087ee927">std::sph_bessell</a></div><div class="ttdeci">long double sph_bessell(unsigned int __n, long double __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l01083">specfun.h:1083</a></div></div> <div class="ttc" id="a01494_html_ga15731a7bccd6351d28353e3c4c2a2d23"><div class="ttname"><a href="a01494.html#ga15731a7bccd6351d28353e3c4c2a2d23">std::cyl_bessel_jf</a></div><div class="ttdeci">float cyl_bessel_jf(float __nu, float __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00550">specfun.h:550</a></div></div> <div class="ttc" id="a01494_html_ga55977b425a539146f060dec1c8003344"><div class="ttname"><a href="a01494.html#ga55977b425a539146f060dec1c8003344">std::assoc_legendrel</a></div><div class="ttdeci">long double assoc_legendrel(unsigned int __l, unsigned int __m, long double __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00276">specfun.h:276</a></div></div> <div class="ttc" id="a01467_html_ga6e88fe698583fef1f7b3c3c379727143"><div class="ttname"><a href="a01467.html#ga6e88fe698583fef1f7b3c3c379727143">std::abs</a></div><div class="ttdeci">_Tp abs(const complex< _Tp > &)</div><div class="ttdoc">Return magnitude of z.</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l00622">complex:622</a></div></div> <div class="ttc" id="a01494_html_gacae65579b397fddcd27954380d364a58"><div class="ttname"><a href="a01494.html#gacae65579b397fddcd27954380d364a58">std::laguerre</a></div><div class="ttdeci">__gnu_cxx::__promote< _Tp >::__type laguerre(unsigned int __n, _Tp __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00962">specfun.h:962</a></div></div> <div class="ttc" id="a01494_html_ga8caca1cef099f41a88111209c36ce06c"><div class="ttname"><a href="a01494.html#ga8caca1cef099f41a88111209c36ce06c">std::betal</a></div><div class="ttdeci">long double betal(long double __a, long double __b)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00322">specfun.h:322</a></div></div> <div class="ttc" id="a01494_html_gaf83d98f350a1cfcebee6a1f723cf90d2"><div class="ttname"><a href="a01494.html#gaf83d98f350a1cfcebee6a1f723cf90d2">std::assoc_laguerref</a></div><div class="ttdeci">float assoc_laguerref(unsigned int __n, unsigned int __m, float __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00206">specfun.h:206</a></div></div> <div class="ttc" id="a01467_html_ga8ab9fb6ce0469e0144c41f40e49a63dc"><div class="ttname"><a href="a01467.html#ga8ab9fb6ce0469e0144c41f40e49a63dc">std::cosh</a></div><div class="ttdeci">complex< _Tp > cosh(const complex< _Tp > &)</div><div class="ttdoc">Return complex hyperbolic cosine of z.</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l00760">complex:760</a></div></div> <div class="ttc" id="a01494_html_ga534e36e1dcefad8daec98920db16eec4"><div class="ttname"><a href="a01494.html#ga534e36e1dcefad8daec98920db16eec4">std::sph_besself</a></div><div class="ttdeci">float sph_besself(unsigned int __n, float __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l01073">specfun.h:1073</a></div></div> <div class="ttc" id="a01538_html_af4498ab9c6d4eae4f1258319085fe80c"><div class="ttname"><a href="a01538.html#af4498ab9c6d4eae4f1258319085fe80c">std::acos</a></div><div class="ttdeci">std::complex< _Tp > acos(const std::complex< _Tp > &)</div><div class="ttdoc">acos(__z) [8.1.2].</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l01638">complex:1638</a></div></div> <div class="ttc" id="a01494_html_gada763419b0e21b38e38daa8b6eb56a8c"><div class="ttname"><a href="a01494.html#gada763419b0e21b38e38daa8b6eb56a8c">std::laguerref</a></div><div class="ttdeci">float laguerref(unsigned int __n, float __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00933">specfun.h:933</a></div></div> <div class="ttc" id="a01494_html_ga2f6618dea1847f09fd67f3c974c1910d"><div class="ttname"><a href="a01494.html#ga2f6618dea1847f09fd67f3c974c1910d">std::sph_legendrel</a></div><div class="ttdeci">long double sph_legendrel(unsigned int __l, unsigned int __m, long double __theta)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l01128">specfun.h:1128</a></div></div> <div class="ttc" id="a01494_html_ga21700f2f125c42b1f1da1f9c7eea1135"><div class="ttname"><a href="a01494.html#ga21700f2f125c42b1f1da1f9c7eea1135">std::comp_ellint_2f</a></div><div class="ttdeci">float comp_ellint_2f(float __k)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00406">specfun.h:406</a></div></div> <div class="ttc" id="a01494_html_gaed94e3c664c99f5204da75be75aeac21"><div class="ttname"><a href="a01494.html#gaed94e3c664c99f5204da75be75aeac21">std::legendref</a></div><div class="ttdeci">float legendref(unsigned int __l, float __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00977">specfun.h:977</a></div></div> <div class="ttc" id="a01494_html_ga5842816f6eed2594e0a327df4e4a2a47"><div class="ttname"><a href="a01494.html#ga5842816f6eed2594e0a327df4e4a2a47">std::expintf</a></div><div class="ttdeci">float expintf(float __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00844">specfun.h:844</a></div></div> <div class="ttc" id="a01538_html_abaa325495d208118ae2201fc82749a9e"><div class="ttname"><a href="a01538.html#abaa325495d208118ae2201fc82749a9e">std::atanh</a></div><div class="ttdeci">std::complex< _Tp > atanh(const std::complex< _Tp > &)</div><div class="ttdoc">atanh(__z) [8.1.7].</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l01837">complex:1837</a></div></div> <div class="ttc" id="a01494_html_ga355349f79119c1fd1e2a9351cec57f0f"><div class="ttname"><a href="a01494.html#ga355349f79119c1fd1e2a9351cec57f0f">std::assoc_legendre</a></div><div class="ttdeci">__gnu_cxx::__promote< _Tp >::__type assoc_legendre(unsigned int __l, unsigned int __m, _Tp __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00298">specfun.h:298</a></div></div> <div class="ttc" id="a01494_html_ga594a730163c6228c75b152462700062b"><div class="ttname"><a href="a01494.html#ga594a730163c6228c75b152462700062b">std::ellint_2f</a></div><div class="ttdeci">float ellint_2f(float __k, float __phi)</div><div class="ttdoc">Return the incomplete elliptic integral of the second kind for float argument.</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00744">specfun.h:744</a></div></div> <div class="ttc" id="a01494_html_ga1329130b32328d0666e290ee5931fa4f"><div class="ttname"><a href="a01494.html#ga1329130b32328d0666e290ee5931fa4f">std::expintl</a></div><div class="ttdeci">long double expintl(long double __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00854">specfun.h:854</a></div></div> <div class="ttc" id="a01494_html_ga1f50047f9aab0ec8b1a1615fe9fbe32f"><div class="ttname"><a href="a01494.html#ga1f50047f9aab0ec8b1a1615fe9fbe32f">std::cyl_bessel_kf</a></div><div class="ttdeci">float cyl_bessel_kf(float __nu, float __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00596">specfun.h:596</a></div></div> <div class="ttc" id="a01494_html_ga1a80bd2c15bc9fbecda2630a9e9409e7"><div class="ttname"><a href="a01494.html#ga1a80bd2c15bc9fbecda2630a9e9409e7">std::ellint_3f</a></div><div class="ttdeci">float ellint_3f(float __k, float __nu, float __phi)</div><div class="ttdoc">Return the incomplete elliptic integral of the third kind for float argument.</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00792">specfun.h:792</a></div></div> <div class="ttc" id="a01467_html_gaf91cd3409ab242d469bcc1b2d06624c3"><div class="ttname"><a href="a01467.html#gaf91cd3409ab242d469bcc1b2d06624c3">std::sqrt</a></div><div class="ttdeci">complex< _Tp > sqrt(const complex< _Tp > &)</div><div class="ttdoc">Return complex square root of z.</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l00922">complex:922</a></div></div> <div class="ttc" id="a01494_html_ga7247d3dd77c1ff5df3c059fed862dc48"><div class="ttname"><a href="a01494.html#ga7247d3dd77c1ff5df3c059fed862dc48">std::comp_ellint_1l</a></div><div class="ttdeci">long double comp_ellint_1l(long double __k)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00368">specfun.h:368</a></div></div> <div class="ttc" id="a01467_html_gaa4aa5a5b2f39aa309bd0add4864b3155"><div class="ttname"><a href="a01467.html#gaa4aa5a5b2f39aa309bd0add4864b3155">std::tanh</a></div><div class="ttdeci">complex< _Tp > tanh(const complex< _Tp > &)</div><div class="ttdoc">Return complex hyperbolic tangent of z.</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l00977">complex:977</a></div></div> <div class="ttc" id="a01494_html_ga47b647ec386c8d4b18a030c97842df18"><div class="ttname"><a href="a01494.html#ga47b647ec386c8d4b18a030c97842df18">std::comp_ellint_2l</a></div><div class="ttdeci">long double comp_ellint_2l(long double __k)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00416">specfun.h:416</a></div></div> <div class="ttc" id="a01467_html_ga530419a3cf68024cd03985a4795214e3"><div class="ttname"><a href="a01467.html#ga530419a3cf68024cd03985a4795214e3">std::tan</a></div><div class="ttdeci">complex< _Tp > tan(const complex< _Tp > &)</div><div class="ttdoc">Return complex tangent of z.</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l00949">complex:949</a></div></div> <div class="ttc" id="a01494_html_ga1e92da3b878d75270f38d3ec9b513086"><div class="ttname"><a href="a01494.html#ga1e92da3b878d75270f38d3ec9b513086">std::riemann_zetal</a></div><div class="ttdeci">long double riemann_zetal(long double __s)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l01032">specfun.h:1032</a></div></div> <div class="ttc" id="a01467_html_gaacf8017e100d619acab131da8a4017e1"><div class="ttname"><a href="a01467.html#gaacf8017e100d619acab131da8a4017e1">std::pow</a></div><div class="ttdeci">complex< _Tp > pow(const complex< _Tp > &, int)</div><div class="ttdoc">Return x to the y'th power.</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l01008">complex:1008</a></div></div> <div class="ttc" id="a01494_html_gad6dd71db2b3f90d24ff49bf8cf37bc37"><div class="ttname"><a href="a01494.html#gad6dd71db2b3f90d24ff49bf8cf37bc37">std::ellint_2</a></div><div class="ttdeci">__gnu_cxx::__promote_2< _Tp, _Tpp >::__type ellint_2(_Tp __k, _Tpp __phi)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00777">specfun.h:777</a></div></div> <div class="ttc" id="a01467_html_gaed6443d175b556280b801357758d1526"><div class="ttname"><a href="a01467.html#gaed6443d175b556280b801357758d1526">std::cos</a></div><div class="ttdeci">complex< _Tp > cos(const complex< _Tp > &)</div><div class="ttdoc">Return complex cosine of z.</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l00730">complex:730</a></div></div> <div class="ttc" id="a01538_html_ac02c9d52b1f8d89d99508fb4a2107d44"><div class="ttname"><a href="a01538.html#ac02c9d52b1f8d89d99508fb4a2107d44">std::acosh</a></div><div class="ttdeci">std::complex< _Tp > acosh(const std::complex< _Tp > &)</div><div class="ttdoc">acosh(__z) [8.1.5].</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l01754">complex:1754</a></div></div> <div class="ttc" id="a01494_html_ga1c9b5a5c36f000a4f0a55f7fcc486cb0"><div class="ttname"><a href="a01494.html#ga1c9b5a5c36f000a4f0a55f7fcc486cb0">std::cyl_bessel_i</a></div><div class="ttdeci">__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type cyl_bessel_i(_Tpnu __nu, _Tp __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00535">specfun.h:535</a></div></div> <div class="ttc" id="a01494_html_ga20832e3a67d25cc3d415cafc88019ac3"><div class="ttname"><a href="a01494.html#ga20832e3a67d25cc3d415cafc88019ac3">std::ellint_3</a></div><div class="ttdeci">__gnu_cxx::__promote_3< _Tp, _Tpn, _Tpp >::__type ellint_3(_Tp __k, _Tpn __nu, _Tpp __phi)</div><div class="ttdoc">Return the incomplete elliptic integral of the third kind .</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00830">specfun.h:830</a></div></div> <div class="ttc" id="a01538_html_a2135f46a5a1fcc1cd3399ef4e20f6249"><div class="ttname"><a href="a01538.html#a2135f46a5a1fcc1cd3399ef4e20f6249">std::asinh</a></div><div class="ttdeci">std::complex< _Tp > asinh(const std::complex< _Tp > &)</div><div class="ttdoc">asinh(__z) [8.1.6].</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l01793">complex:1793</a></div></div> <div class="ttc" id="a01538_html_a0b74e9caa6ce93221b5d88c296d33468"><div class="ttname"><a href="a01538.html#a0b74e9caa6ce93221b5d88c296d33468">std::fabs</a></div><div class="ttdeci">_Tp fabs(const std::complex< _Tp > &)</div><div class="ttdoc">fabs(__z) [8.1.8].</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l01846">complex:1846</a></div></div> <div class="ttc" id="a01494_html_gaf92063315061a56d3e2c4053156d968e"><div class="ttname"><a href="a01494.html#gaf92063315061a56d3e2c4053156d968e">std::riemann_zetaf</a></div><div class="ttdeci">float riemann_zetaf(float __s)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l01022">specfun.h:1022</a></div></div> <div class="ttc" id="a01494_html_ga7fb5be999a8125cf7e55e630eb8444a1"><div class="ttname"><a href="a01494.html#ga7fb5be999a8125cf7e55e630eb8444a1">std::comp_ellint_1f</a></div><div class="ttdeci">float comp_ellint_1f(float __k)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00358">specfun.h:358</a></div></div> <div class="ttc" id="a01494_html_ga5c791332d374a809d8ca16c69a1a30f5"><div class="ttname"><a href="a01494.html#ga5c791332d374a809d8ca16c69a1a30f5">std::ellint_2l</a></div><div class="ttdeci">long double ellint_2l(long double __k, long double __phi)</div><div class="ttdoc">Return the incomplete elliptic integral of the second kind .</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00754">specfun.h:754</a></div></div> <div class="ttc" id="a01494_html_ga1ca081fee102cd0d4d6b091285e495e5"><div class="ttname"><a href="a01494.html#ga1ca081fee102cd0d4d6b091285e495e5">std::comp_ellint_3l</a></div><div class="ttdeci">long double comp_ellint_3l(long double __k, long double __nu)</div><div class="ttdoc">Return the complete elliptic integral of the third kind for long double modulus k.</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00463">specfun.h:463</a></div></div> <div class="ttc" id="a01494_html_ga47e21a13b6d68d0d7f057699bd3b3ce0"><div class="ttname"><a href="a01494.html#ga47e21a13b6d68d0d7f057699bd3b3ce0">std::cyl_bessel_j</a></div><div class="ttdeci">__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type cyl_bessel_j(_Tpnu __nu, _Tp __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00581">specfun.h:581</a></div></div> <div class="ttc" id="a01467_html_gae30c461aa90a3e7d502737e29898570b"><div class="ttname"><a href="a01467.html#gae30c461aa90a3e7d502737e29898570b">std::sinh</a></div><div class="ttdeci">complex< _Tp > sinh(const complex< _Tp > &)</div><div class="ttdoc">Return complex hyperbolic sine of z.</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l00878">complex:878</a></div></div> <div class="ttc" id="a01494_html_ga1cf4362a67ab5bae9e6b69c867e85371"><div class="ttname"><a href="a01494.html#ga1cf4362a67ab5bae9e6b69c867e85371">std::sph_neumann</a></div><div class="ttdeci">__gnu_cxx::__promote< _Tp >::__type sph_neumann(unsigned int __n, _Tp __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l01193">specfun.h:1193</a></div></div> <div class="ttc" id="a01494_html_ga5b7c72ab85e361cbd73f1a3b5f0725a6"><div class="ttname"><a href="a01494.html#ga5b7c72ab85e361cbd73f1a3b5f0725a6">std::cyl_neumann</a></div><div class="ttdeci">__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type cyl_neumann(_Tpnu __nu, _Tp __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00681">specfun.h:681</a></div></div> <div class="ttc" id="a01494_html_ga3cededa9b6e4601f190c3811e6aabfd6"><div class="ttname"><a href="a01494.html#ga3cededa9b6e4601f190c3811e6aabfd6">std::sph_neumannl</a></div><div class="ttdeci">long double sph_neumannl(unsigned int __n, long double __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l01174">specfun.h:1174</a></div></div> <div class="ttc" id="a01494_html_ga604c13e8f2bb7cd3c7c91d8b19d6b13a"><div class="ttname"><a href="a01494.html#ga604c13e8f2bb7cd3c7c91d8b19d6b13a">std::cyl_neumannf</a></div><div class="ttdeci">float cyl_neumannf(float __nu, float __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00648">specfun.h:648</a></div></div> <div class="ttc" id="a01494_html_gac35194b926270d7857d651e06198c7d3"><div class="ttname"><a href="a01494.html#gac35194b926270d7857d651e06198c7d3">std::cyl_bessel_kl</a></div><div class="ttdeci">long double cyl_bessel_kl(long double __nu, long double __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00606">specfun.h:606</a></div></div> <div class="ttc" id="a01494_html_ga308d23d70f4b5e848eb7a4173628ef3b"><div class="ttname"><a href="a01494.html#ga308d23d70f4b5e848eb7a4173628ef3b">std::ellint_1f</a></div><div class="ttdeci">float ellint_1f(float __k, float __phi)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00696">specfun.h:696</a></div></div> <div class="ttc" id="a01494_html_gaae635d28c06a3be2679901b382090852"><div class="ttname"><a href="a01494.html#gaae635d28c06a3be2679901b382090852">std::sph_legendref</a></div><div class="ttdeci">float sph_legendref(unsigned int __l, unsigned int __m, float __theta)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l01117">specfun.h:1117</a></div></div> <div class="ttc" id="a01538_html_a217a638ff609e744f9e5f5cf2837ec7c"><div class="ttname"><a href="a01538.html#a217a638ff609e744f9e5f5cf2837ec7c">std::atan</a></div><div class="ttdeci">std::complex< _Tp > atan(const std::complex< _Tp > &)</div><div class="ttdoc">atan(__z) [8.1.4].</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l01718">complex:1718</a></div></div> <div class="ttc" id="a01467_html_ga89579637d83fe041c9963cdcab272edd"><div class="ttname"><a href="a01467.html#ga89579637d83fe041c9963cdcab272edd">std::exp</a></div><div class="ttdeci">complex< _Tp > exp(const complex< _Tp > &)</div><div class="ttdoc">Return complex base e exponential of z.</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l00786">complex:786</a></div></div> <div class="ttc" id="a01494_html_gac559500c604c43ea943d593c9ad9d289"><div class="ttname"><a href="a01494.html#gac559500c604c43ea943d593c9ad9d289">std::comp_ellint_1</a></div><div class="ttdeci">__gnu_cxx::__promote< _Tp >::__type comp_ellint_1(_Tp __k)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00391">specfun.h:391</a></div></div> <div class="ttc" id="a01494_html_gab7962629216d03efb8ecaa3f70c6878f"><div class="ttname"><a href="a01494.html#gab7962629216d03efb8ecaa3f70c6878f">std::cyl_bessel_il</a></div><div class="ttdeci">long double cyl_bessel_il(long double __nu, long double __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00514">specfun.h:514</a></div></div> <div class="ttc" id="a01494_html_ga94dae7444bb349e33057a92932db8abe"><div class="ttname"><a href="a01494.html#ga94dae7444bb349e33057a92932db8abe">std::hermitef</a></div><div class="ttdeci">float hermitef(unsigned int __n, float __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00885">specfun.h:885</a></div></div> <div class="ttc" id="a01494_html_ga795383fa51e02351000b410b478d824f"><div class="ttname"><a href="a01494.html#ga795383fa51e02351000b410b478d824f">std::ellint_1l</a></div><div class="ttdeci">long double ellint_1l(long double __k, long double __phi)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00706">specfun.h:706</a></div></div> <div class="ttc" id="a01467_html_ga249915bcbce6563e63f5ffa6d464155a"><div class="ttname"><a href="a01467.html#ga249915bcbce6563e63f5ffa6d464155a">std::sin</a></div><div class="ttdeci">complex< _Tp > sin(const complex< _Tp > &)</div><div class="ttdoc">Return complex sine of z.</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l00848">complex:848</a></div></div> <div class="ttc" id="a01494_html_gaaf8b141edf9163b37ea4f2ed3e0191fc"><div class="ttname"><a href="a01494.html#gaaf8b141edf9163b37ea4f2ed3e0191fc">std::laguerrel</a></div><div class="ttdeci">long double laguerrel(unsigned int __n, long double __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00943">specfun.h:943</a></div></div> <div class="ttc" id="a01467_html_ga070941f6cb66b0e4619891010c008250"><div class="ttname"><a href="a01467.html#ga070941f6cb66b0e4619891010c008250">std::log10</a></div><div class="ttdeci">complex< _Tp > log10(const complex< _Tp > &)</div><div class="ttdoc">Return complex base 10 logarithm of z.</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l00818">complex:818</a></div></div> <div class="ttc" id="a01494_html_ga1b39bc22e3cc4860d08eb54099460391"><div class="ttname"><a href="a01494.html#ga1b39bc22e3cc4860d08eb54099460391">std::legendrel</a></div><div class="ttdeci">long double legendrel(unsigned int __l, long double __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00987">specfun.h:987</a></div></div> <div class="ttc" id="a01494_html_ga88ba17f5d050a6973ca4db1bf6e90590"><div class="ttname"><a href="a01494.html#ga88ba17f5d050a6973ca4db1bf6e90590">std::expint</a></div><div class="ttdeci">__gnu_cxx::__promote< _Tp >::__type expint(_Tp __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00870">specfun.h:870</a></div></div> <div class="ttc" id="a01494_html_ga478e517ed975bcb256de230e64f0fda5"><div class="ttname"><a href="a01494.html#ga478e517ed975bcb256de230e64f0fda5">std::sph_bessel</a></div><div class="ttdeci">__gnu_cxx::__promote< _Tp >::__type sph_bessel(unsigned int __n, _Tp __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l01102">specfun.h:1102</a></div></div> <div class="ttc" id="a01494_html_ga21f8e312ee3e65286f86bf141b0f32e0"><div class="ttname"><a href="a01494.html#ga21f8e312ee3e65286f86bf141b0f32e0">std::hermitel</a></div><div class="ttdeci">long double hermitel(unsigned int __n, long double __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00895">specfun.h:895</a></div></div> <div class="ttc" id="a01494_html_gaaf738427d4da0bda66bc2274dfb853a7"><div class="ttname"><a href="a01494.html#gaaf738427d4da0bda66bc2274dfb853a7">std::cyl_bessel_if</a></div><div class="ttdeci">float cyl_bessel_if(float __nu, float __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00504">specfun.h:504</a></div></div> <div class="ttc" id="a01538_html_af94e28dea7bd5b71959fbc6be1070895"><div class="ttname"><a href="a01538.html#af94e28dea7bd5b71959fbc6be1070895">std::asin</a></div><div class="ttdeci">std::complex< _Tp > asin(const std::complex< _Tp > &)</div><div class="ttdoc">asin(__z) [8.1.3].</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l01674">complex:1674</a></div></div> <div class="ttc" id="a01494_html_ga6a7220c87c942db48b18b527d92bbd2d"><div class="ttname"><a href="a01494.html#ga6a7220c87c942db48b18b527d92bbd2d">std::beta</a></div><div class="ttdeci">__gnu_cxx::__promote_2< _Tpa, _Tpb >::__type beta(_Tpa __a, _Tpb __b)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00343">specfun.h:343</a></div></div> <div class="ttc" id="a01494_html_ga67a6bfed9b6ab692e8c798b674431424"><div class="ttname"><a href="a01494.html#ga67a6bfed9b6ab692e8c798b674431424">std::riemann_zeta</a></div><div class="ttdeci">__gnu_cxx::__promote< _Tp >::__type riemann_zeta(_Tp __s)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l01058">specfun.h:1058</a></div></div> <div class="ttc" id="a01494_html_gaa8c0e5864df8769021a7f3e21a30c5d2"><div class="ttname"><a href="a01494.html#gaa8c0e5864df8769021a7f3e21a30c5d2">std::ellint_3l</a></div><div class="ttdeci">long double ellint_3l(long double __k, long double __nu, long double __phi)</div><div class="ttdoc">Return the incomplete elliptic integral of the third kind .</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00802">specfun.h:802</a></div></div> <div class="ttc" id="a01494_html_gae6b3df5556f38a7d72f9b4457d856f9c"><div class="ttname"><a href="a01494.html#gae6b3df5556f38a7d72f9b4457d856f9c">std::ellint_1</a></div><div class="ttdeci">__gnu_cxx::__promote_2< _Tp, _Tpp >::__type ellint_1(_Tp __k, _Tpp __phi)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00729">specfun.h:729</a></div></div> <div class="ttc" id="a01494_html_ga97632b8bf77c323b2369e8d327965bdf"><div class="ttname"><a href="a01494.html#ga97632b8bf77c323b2369e8d327965bdf">std::hermite</a></div><div class="ttdeci">__gnu_cxx::__promote< _Tp >::__type hermite(unsigned int __n, _Tp __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00918">specfun.h:918</a></div></div> <div class="ttc" id="a01467_html_ga42f2de63a5c18a149f94b926d4d6bb21"><div class="ttname"><a href="a01467.html#ga42f2de63a5c18a149f94b926d4d6bb21">std::log</a></div><div class="ttdeci">complex< _Tp > log(const complex< _Tp > &)</div><div class="ttdoc">Return complex natural logarithm of z.</div><div class="ttdef"><b>Definition:</b> <a href="a00053_source.html#l00813">complex:813</a></div></div> <div class="ttc" id="a01494_html_gac8e245671fb2df5de5fd978d03081f6c"><div class="ttname"><a href="a01494.html#gac8e245671fb2df5de5fd978d03081f6c">std::assoc_laguerrel</a></div><div class="ttdeci">long double assoc_laguerrel(unsigned int __n, unsigned int __m, long double __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00216">specfun.h:216</a></div></div> <div class="ttc" id="a01494_html_ga3ced07ddd24bf4af56e2712d148e7f57"><div class="ttname"><a href="a01494.html#ga3ced07ddd24bf4af56e2712d148e7f57">std::assoc_legendref</a></div><div class="ttdeci">float assoc_legendref(unsigned int __l, unsigned int __m, float __x)</div><div class="ttdef"><b>Definition:</b> <a href="a00512_source.html#l00267">specfun.h:267</a></div></div> </div><!-- fragment --></div><!-- 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