<!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++: numeric 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('a00113_source.html','');}); /* @license-end */ </script> <div id="doc-content"> <div class="header"> <div class="headertitle"> <div class="title">numeric</div> </div> </div><!--header--> <div class="contents"> <a href="a00113.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> // <numeric> -*- C++ -*-</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> // Copyright (C) 2001-2018 Free Software Foundation, Inc.</div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> //</div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> // This file is part of the GNU ISO C++ Library. This library is free</div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> // software; you can redistribute it and/or modify it under the</div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> // terms of the GNU General Public License as published by the</div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> // Free Software Foundation; either version 3, or (at your option)</div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> // any later version.</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> // This library is distributed in the hope that it will be useful,</div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> // but WITHOUT ANY WARRANTY; without even the implied warranty of</div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> // GNU General Public License for more details.</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> // Under Section 7 of GPL version 3, you are granted additional</div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> // permissions described in the GCC Runtime Library Exception, version</div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> // 3.1, as published by the Free Software Foundation.</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> // You should have received a copy of the GNU General Public License and</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> // a copy of the GCC Runtime Library Exception along with this program;</div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see</div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> // <http://www.gnu.org/licenses/>.</div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> </div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> /*</div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  *</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  * Copyright (c) 1994</div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  * Hewlett-Packard Company</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>  * Permission to use, copy, modify, distribute and sell this software</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  * and its documentation for any purpose is hereby granted without fee,</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  * provided that the above copyright notice appear in all copies and</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  * that both that copyright notice and this permission notice appear</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  * in supporting documentation. Hewlett-Packard Company makes no</div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  * representations about the suitability of this software for any</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  * purpose. It is provided "as is" without express or implied warranty.</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>  *</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  * Copyright (c) 1996,1997</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  * Silicon Graphics Computer Systems, Inc.</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  *</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  * Permission to use, copy, modify, distribute and sell this software</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  * and its documentation for any purpose is hereby granted without fee,</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  * provided that the above copyright notice appear in all copies and</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  * that both that copyright notice and this permission notice appear</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  * in supporting documentation. Silicon Graphics makes no</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  * representations about the suitability of this software for any</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  * purpose. It is provided "as is" without express or implied warranty.</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  */</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> </div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> /** @file include/numeric</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  * This is a Standard C++ Library header.</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  */</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> </div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span> #ifndef _GLIBCXX_NUMERIC</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span> #define _GLIBCXX_NUMERIC 1</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> </div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span> #pragma GCC system_header</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span> #include <bits/c++config.h></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span> #include <bits/stl_iterator_base_types.h></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span> #include <bits/stl_numeric.h></div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span> #ifdef _GLIBCXX_PARALLEL</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span> # include <parallel/numeric></div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span> #endif</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</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>  * @defgroup numerics Numerics</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  *</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  * Components for performing numeric operations. Includes support for</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  * for complex number types, random number generation, numeric</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  * (n-at-a-time) arrays, generalized numeric algorithms, and special</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  * math functions.</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</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> #if __cplusplus >= 201402L</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span> #include <type_traits></div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span> namespace std _GLIBCXX_VISIBILITY(default)</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span> {</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span> _GLIBCXX_BEGIN_NAMESPACE_VERSION</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span> </div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span> namespace __detail</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span> {</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  // std::abs is not constexpr and doesn't support unsigned integers.</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  template<typename _Tp></div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  constexpr</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  enable_if_t<__and_<is_integral<_Tp>, is_signed<_Tp>>::value, _Tp></div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  __abs_integral(_Tp __val)</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  { return __val < 0 ? -__val : __val; }</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  template<typename _Tp></div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  constexpr</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  enable_if_t<__and_<is_integral<_Tp>, is_unsigned<_Tp>>::value, _Tp></div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  __abs_integral(_Tp __val)</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  { return __val; }</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span> </div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  void __abs_integral(bool) = delete;</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span> </div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  template<typename _Mn, typename _Nn></div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  constexpr common_type_t<_Mn, _Nn></div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  __gcd(_Mn __m, _Nn __n)</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  {</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  return __m == 0 ? __detail::__abs_integral(__n)</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  : __n == 0 ? __detail::__abs_integral(__m)</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  : __detail::__gcd(__n, __m % __n);</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  }</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  /// Least common multiple</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  template<typename _Mn, typename _Nn></div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  constexpr common_type_t<_Mn, _Nn></div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  __lcm(_Mn __m, _Nn __n)</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  {</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  return (__m != 0 && __n != 0)</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  ? (__detail::__abs_integral(__m) / __detail::__gcd(__m, __n))</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  * __detail::__abs_integral(__n)</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  : 0;</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  }</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span> } // namespace __detail</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span> </div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span> #if __cplusplus > 201402L</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span> </div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span> #define __cpp_lib_gcd_lcm 201606</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span> // These were used in drafts of SD-6:</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span> #define __cpp_lib_gcd 201606</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span> #define __cpp_lib_lcm 201606</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span> </div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  /// Greatest common divisor</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  template<typename _Mn, typename _Nn></div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  constexpr common_type_t<_Mn, _Nn></div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  gcd(_Mn __m, _Nn __n)</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  {</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  static_assert(is_integral_v<_Mn>, "gcd arguments are integers");</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  static_assert(is_integral_v<_Nn>, "gcd arguments are integers");</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  static_assert(!is_same_v<remove_cv_t<_Mn>, bool>,</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  "gcd arguments are not bools");</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  static_assert(!is_same_v<remove_cv_t<_Nn>, bool>,</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  "gcd arguments are not bools");</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  return __detail::__gcd(__m, __n);</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  }</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span> </div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  /// Least common multiple</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  template<typename _Mn, typename _Nn></div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  constexpr common_type_t<_Mn, _Nn></div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  lcm(_Mn __m, _Nn __n)</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  {</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  static_assert(is_integral_v<_Mn>, "lcm arguments are integers");</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  static_assert(is_integral_v<_Nn>, "lcm arguments are integers");</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  static_assert(!is_same_v<remove_cv_t<_Mn>, bool>,</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  "lcm arguments are not bools");</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  static_assert(!is_same_v<remove_cv_t<_Nn>, bool>,</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  "lcm arguments are not bools");</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  return __detail::__lcm(__m, __n);</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  }</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span> #endif // C++17</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span> </div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span> _GLIBCXX_END_NAMESPACE_VERSION</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span> } // namespace std</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span> </div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span> #endif // C++14</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</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> #endif /* _GLIBCXX_NUMERIC */</div></div><!-- fragment --></div><!-- contents --> </div><!-- doc-content --> <!-- start footer part --> <div id="nav-path" class="navpath"><!-- id is needed for treeview function! --> <ul> <li class="navelem"><a class="el" href="dir_47f59b4ef76325ed55a7fd4bed4be05b.html">include</a></li><li class="navelem"><a class="el" href="a00113.html">numeric</a></li> <li class="footer">Generated by <a href="http://www.doxygen.org/index.html"> <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.15 </li> </ul> </div> </body> </html>