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<a href="a01396.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// Optimizations for random number functions, x86 version -*- C++ -*-</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;</div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">// Copyright (C) 2012-2013 Free Software Foundation, Inc.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<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>&#160;<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>&#160;<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>&#160;<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>&#160;<span class="comment">// any later version.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<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>&#160;<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>&#160;<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>&#160;<span class="comment">// GNU General Public License for more details.</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<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>&#160;<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>&#160;<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>&#160;</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<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>&#160;<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>&#160;<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>&#160;<span class="comment">// &lt;http://www.gnu.org/licenses/&gt;.</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment">/** @file bits/opt_random.h</span></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment"> *  This is an internal header file, included by other library headers.</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment"> *  Do not attempt to use it directly. @headername{random}</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#ifndef _BITS_OPT_RANDOM_H</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define _BITS_OPT_RANDOM_H 1</span></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;x86intrin.h&gt;</span></div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#pragma GCC system_header</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="keyword">namespace </span>std _GLIBCXX_VISIBILITY(default)</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;{</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;_GLIBCXX_BEGIN_NAMESPACE_VERSION</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#ifdef __SSE3__</span></div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor"></span>  <span class="keyword">template</span>&lt;&gt;</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> _UniformRandomNumberGenerator&gt;</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordtype">void</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      normal_distribution&lt;double&gt;::</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      __generate(<span class="keyword">typename</span> <a class="code" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">normal_distribution&lt;double&gt;::result_type</a>* __f,</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;         <span class="keyword">typename</span> <a class="code" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">normal_distribution&lt;double&gt;::result_type</a>* __t,</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;         _UniformRandomNumberGenerator&amp; __urng,</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;         <span class="keyword">const</span> param_type&amp; __param)</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      {</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keyword">typedef</span> uint64_t __uctype;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    <span class="keywordflow">if</span> (__f == __t)</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    <span class="keywordflow">if</span> (_M_saved_available)</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      {</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        _M_saved_available = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        *__f++ = _M_saved * __param.stddev() + __param.mean();</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keywordflow">if</span> (__f == __t)</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;          <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      }</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    constexpr uint64_t __maskval = 0xfffffffffffffull;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> __m128i __mask = _mm_set1_epi64x(__maskval);</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> __m128i __two = _mm_set1_epi64x(0x4000000000000000ull);</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> __m128d __three = _mm_set1_pd(3.0);</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <span class="keyword">const</span> __m128d __av = _mm_set1_pd(__param.mean());</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    <span class="keyword">const</span> __uctype __urngmin = __urng.min();</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    <span class="keyword">const</span> __uctype __urngmax = __urng.max();</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    <span class="keyword">const</span> __uctype __urngrange = __urngmax - __urngmin;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="keyword">const</span> __uctype __uerngrange = __urngrange + 1;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    <span class="keywordflow">while</span> (__f + 1 &lt; __t)</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      {</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordtype">double</span> __le;</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        __m128d __x;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">do</span></div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          {</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                <span class="keyword">union</span></div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                {</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                  __m128i __i;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                  __m128d __d;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        } __v;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordflow">if</span> (__urngrange &gt; __maskval)</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          {</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;            <span class="keywordflow">if</span> (__detail::_Power_of_2(__uerngrange))</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;              __v.__i = _mm_and_si128(_mm_set_epi64x(__urng(),</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                                 __urng()),</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                          __mask);</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;              {</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            <span class="keyword">const</span> __uctype __uerange = __maskval + 1;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            <span class="keyword">const</span> __uctype __scaling = __urngrange / __uerange;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;            <span class="keyword">const</span> __uctype __past = __uerange * __scaling;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;            uint64_t __v1;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            <span class="keywordflow">do</span></div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;              __v1 = __uctype(__urng()) - __urngmin;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            <span class="keywordflow">while</span> (__v1 &gt;= __past);</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;            __v1 /= __scaling;</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;            uint64_t __v2;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;            <span class="keywordflow">do</span></div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;              __v2 = __uctype(__urng()) - __urngmin;</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;            <span class="keywordflow">while</span> (__v2 &gt;= __past);</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;            __v2 /= __scaling;</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;            __v.__i = _mm_set_epi64x(__v1, __v2);</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;              }</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;          }</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (__urngrange == __maskval)</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          __v.__i = _mm_set_epi64x(__urng(), __urng());</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> ((__urngrange + 2) * __urngrange &gt;= __maskval</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;             &amp;&amp; __detail::_Power_of_2(__uerngrange))</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;          {</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;            uint64_t __v1 = __urng() * __uerngrange + __urng();</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;            uint64_t __v2 = __urng() * __uerngrange + __urng();</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;            __v.__i = _mm_and_si128(_mm_set_epi64x(__v1, __v2),</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;                        __mask);</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          }</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          {</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            <span class="keywordtype">size_t</span> __nrng = 2;</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            __uctype __high = __maskval / __uerngrange / __uerngrange;</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            <span class="keywordflow">while</span> (__high &gt; __uerngrange)</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;              {</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            ++__nrng;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;            __high /= __uerngrange;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;              }</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            <span class="keyword">const</span> __uctype __highrange = __high + 1;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;            <span class="keyword">const</span> __uctype __scaling = __urngrange / __highrange;</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;            <span class="keyword">const</span> __uctype __past = __highrange * __scaling;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;            __uctype __tmp;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;            uint64_t __v1;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;            <span class="keywordflow">do</span></div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;              {</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            <span class="keywordflow">do</span></div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;              __tmp = __uctype(__urng()) - __urngmin;</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;            <span class="keywordflow">while</span> (__tmp &gt;= __past);</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;            __v1 = __tmp / __scaling;</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> __cnt = 0; __cnt &lt; __nrng; ++__cnt)</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;              {</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;                __tmp = __v1;</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;                __v1 *= __uerngrange;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;                __v1 += __uctype(__urng()) - __urngmin;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;              }</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;              }</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            <span class="keywordflow">while</span> (__v1 &gt; __maskval || __v1 &lt; __tmp);</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;            uint64_t __v2;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;            <span class="keywordflow">do</span></div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;              {</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;            <span class="keywordflow">do</span></div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;              __tmp = __uctype(__urng()) - __urngmin;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;            <span class="keywordflow">while</span> (__tmp &gt;= __past);</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;            __v2 = __tmp / __scaling;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> __cnt = 0; __cnt &lt; __nrng; ++__cnt)</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;              {</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;                __tmp = __v2;</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;                __v2 *= __uerngrange;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;                __v2 += __uctype(__urng()) - __urngmin;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;              }</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;              }</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;            <span class="keywordflow">while</span> (__v2 &gt; __maskval || __v2 &lt; __tmp);</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;            </div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;            __v.__i = _mm_set_epi64x(__v1, __v2);</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;          }</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;        __v.__i = _mm_or_si128(__v.__i, __two);</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;        __x = _mm_sub_pd(__v.__d, __three);</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;        __m128d __m = _mm_mul_pd(__x, __x);</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;        __le = _mm_cvtsd_f64(_mm_hadd_pd (__m, __m));</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;              }</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;            <span class="keywordflow">while</span> (__le == 0.0 || __le &gt;= 1.0);</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;            <span class="keywordtype">double</span> __mult = (<a class="code" href="a01690.html#gaf91cd3409ab242d469bcc1b2d06624c3">std::sqrt</a>(-2.0 * <a class="code" href="a01690.html#ga42f2de63a5c18a149f94b926d4d6bb21">std::log</a>(__le) / __le)</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;                             * __param.stddev());</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;            __x = _mm_add_pd(_mm_mul_pd(__x, _mm_set1_pd(__mult)), __av);</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;            _mm_storeu_pd(__f, __x);</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;            __f += 2;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;          }</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;        <span class="keywordflow">if</span> (__f != __t)</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;          {</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;            result_type __x, __y, __r2;</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;            __detail::_Adaptor&lt;_UniformRandomNumberGenerator, result_type&gt;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;              __aurng(__urng);</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;            <span class="keywordflow">do</span></div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;              {</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;                __x = result_type(2.0) * __aurng() - 1.0;</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;                __y = result_type(2.0) * __aurng() - 1.0;</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;                __r2 = __x * __x + __y * __y;</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;              }</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;            <span class="keywordflow">while</span> (__r2 &gt; 1.0 || __r2 == 0.0);</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;            <span class="keyword">const</span> result_type __mult = <a class="code" href="a01690.html#gaf91cd3409ab242d469bcc1b2d06624c3">std::sqrt</a>(-2 * <a class="code" href="a01690.html#ga42f2de63a5c18a149f94b926d4d6bb21">std::log</a>(__r2) / __r2);</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;            _M_saved = __x * __mult;</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;            _M_saved_available = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;            *__f = __y * __mult * __param.stddev() + __param.mean();</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;          }</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;      }</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;_GLIBCXX_END_NAMESPACE_VERSION</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;} <span class="comment">// namespace</span></div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;<span class="preprocessor">#endif // _BITS_OPT_RANDOM_H</span></div>
<div class="ttc" id="a01690_html_ga42f2de63a5c18a149f94b926d4d6bb21"><div class="ttname"><a href="a01690.html#ga42f2de63a5c18a149f94b926d4d6bb21">std::log</a></div><div class="ttdeci">complex&lt; _Tp &gt; log(const complex&lt; _Tp &gt; &amp;)</div><div class="ttdoc">Return complex natural logarithm of z. </div><div class="ttdef"><b>Definition:</b> <a href="a01104_source.html#l00787">complex:787</a></div></div>
<div class="ttc" id="a01690_html_gaf91cd3409ab242d469bcc1b2d06624c3"><div class="ttname"><a href="a01690.html#gaf91cd3409ab242d469bcc1b2d06624c3">std::sqrt</a></div><div class="ttdeci">complex&lt; _Tp &gt; sqrt(const complex&lt; _Tp &gt; &amp;)</div><div class="ttdoc">Return complex square root of z. </div><div class="ttdef"><b>Definition:</b> <a href="a01104_source.html#l00896">complex:896</a></div></div>
<div class="ttc" id="a00469_html_ae45488abda3f5b20d944da2da5a70001"><div class="ttname"><a href="a00469.html#ae45488abda3f5b20d944da2da5a70001">std::normal_distribution&lt; double &gt;::result_type</a></div><div class="ttdeci">double result_type</div><div class="ttdef"><b>Definition:</b> <a href="a01452_source.html#l02088">random.h:2088</a></div></div>
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