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  27 <a name="boost.random.non_central_c_idp936614800"></a><div class="titlepage"></div>
  28 <div class="refnamediv">
  29 <h2><span class="refentrytitle">Class template non_central_chi_squared_distribution</span></h2>
  30 <p>boost::random::non_central_chi_squared_distribution</p>
  31 </div>
  32 <h2 xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv-title">Synopsis</h2>
  33 <div xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv"><pre class="synopsis"><span class="comment">// In header: &lt;<a class="link" href="../../boost_random/reference.html#header.boost.random.non_central_chi_squared_distribution_hpp" title="Header &lt;boost/random/non_central_chi_squared_distribution.hpp&gt;">boost/random/non_central_chi_squared_distribution.hpp</a>&gt;
  34
  35 </span><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span>
  36 <span class="keyword">class</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <span class="special">{</span>
  37 <span class="keyword">public</span><span class="special">:</span>
  38   <span class="comment">// types</span>
  39   <span class="keyword">typedef</span> <span class="identifier">RealType</span> <a name="boost.random.non_central_c_idp936614800.result_type"></a><span class="identifier">result_type</span><span class="special">;</span>
  40   <span class="keyword">typedef</span> <span class="identifier">RealType</span> <a name="boost.random.non_central_c_idp936614800.input_type"></a><span class="identifier">input_type</span><span class="special">;</span>
  41
  42   <span class="comment">// member classes/structs/unions</span>
  43
  44   <span class="keyword">class</span> <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <span class="special">{</span>
  45   <span class="keyword">public</span><span class="special">:</span>
  46     <span class="comment">// types</span>
  47     <span class="keyword">typedef</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <a class="link" href="non_central_c_idp936614800/param_type.html#boost.random.non_central_c_idp936614800.param_type.distribution_type"><span class="identifier">distribution_type</span></a><span class="special">;</span>
  48
  49     <span class="comment">// <a class="link" href="non_central_c_idp936614800/param_type.html#boost.random.non_central_c_idp936614800.param_typeconstruct-copy-destruct">construct/copy/destruct</a></span>
  50     <span class="keyword">explicit</span> <a class="link" href="non_central_c_idp936614800/param_type.html#idp936633648-bb"><span class="identifier">param_type</span></a><span class="special">(</span><span class="identifier">RealType</span> <span class="special">=</span> <span class="number">1</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="number">1</span><span class="special">)</span><span class="special">;</span>
  51
  52     <span class="comment">// <a class="link" href="non_central_c_idp936614800/param_type.html#idp936628928-bb">public member functions</a></span>
  53     <span class="identifier">RealType</span> <a class="link" href="non_central_c_idp936614800/param_type.html#idp936629488-bb"><span class="identifier">k</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  54     <span class="identifier">RealType</span> <a class="link" href="non_central_c_idp936614800/param_type.html#idp936631488-bb"><span class="identifier">lambda</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  55
  56     <span class="comment">// <a class="link" href="non_central_c_idp936614800/param_type.html#idp936638576-bb">friend functions</a></span>
  57     <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span>
  58       <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span>
  59       <a class="link" href="non_central_c_idp936614800/param_type.html#idp936639136-bb"><span class="keyword">operator</span><span class="special">&lt;&lt;</span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  60     <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span>
  61       <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span>
  62       <a class="link" href="non_central_c_idp936614800/param_type.html#idp936644160-bb"><span class="keyword">operator</span><span class="special">&gt;&gt;</span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  63     <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="non_central_c_idp936614800/param_type.html#idp936649184-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  64     <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="non_central_c_idp936614800/param_type.html#idp936652752-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  65   <span class="special">}</span><span class="special">;</span>
  66
  67   <span class="comment">// <a class="link" href="non_central_c_idp936614800.html#boost.random.non_central_c_idp936614800construct-copy-destruct">construct/copy/destruct</a></span>
  68   <span class="keyword">explicit</span> <a class="link" href="non_central_c_idp936614800.html#idp936679152-bb"><span class="identifier">non_central_chi_squared_distribution</span></a><span class="special">(</span><span class="identifier">RealType</span> <span class="special">=</span> <span class="number">1</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="number">1</span><span class="special">)</span><span class="special">;</span>
  69   <span class="keyword">explicit</span> <a class="link" href="non_central_c_idp936614800.html#idp936684192-bb"><span class="identifier">non_central_chi_squared_distribution</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  70
  71   <span class="comment">// <a class="link" href="non_central_c_idp936614800.html#idp936658176-bb">public member functions</a></span>
  72   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> URNG<span class="special">&gt;</span>
  73     <span class="identifier">RealType</span> <a class="link" href="non_central_c_idp936614800.html#idp936658736-bb"><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span></a><span class="special">(</span><span class="identifier">URNG</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  74   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> URNG<span class="special">&gt;</span> <span class="identifier">RealType</span> <a class="link" href="non_central_c_idp936614800.html#idp936663488-bb"><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span></a><span class="special">(</span><span class="identifier">URNG</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  75   <span class="identifier">RealType</span> <a class="link" href="non_central_c_idp936614800.html#idp936666368-bb"><span class="identifier">k</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  76   <span class="identifier">RealType</span> <a class="link" href="non_central_c_idp936614800.html#idp936668368-bb"><span class="identifier">lambda</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  77   <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <a class="link" href="non_central_c_idp936614800.html#idp936670368-bb"><span class="identifier">param</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  78   <span class="keyword">void</span> <a class="link" href="non_central_c_idp936614800.html#idp936672064-bb"><span class="identifier">param</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  79   <span class="keyword">void</span> <a class="link" href="non_central_c_idp936614800.html#idp936674480-bb"><span class="identifier">reset</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>
  80   <span class="identifier">RealType</span> <a class="link" href="non_central_c_idp936614800.html#idp936675824-bb"><span class="identifier">min</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  81   <span class="identifier">RealType</span> <a class="link" href="non_central_c_idp936614800.html#idp936677408-bb"><span class="identifier">max</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  82
  83   <span class="comment">// <a class="link" href="non_central_c_idp936614800.html#idp936687216-bb">friend functions</a></span>
  84   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span>
  85     <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span>
  86     <a class="link" href="non_central_c_idp936614800.html#idp936687776-bb"><span class="keyword">operator</span><span class="special">&lt;&lt;</span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span><span class="special">,</span>
  87                <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  88   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span>
  89     <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span>
  90     <a class="link" href="non_central_c_idp936614800.html#idp936692816-bb"><span class="keyword">operator</span><span class="special">&gt;&gt;</span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span><span class="special">,</span>
  91                <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  92   <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="non_central_c_idp936614800.html#idp936697856-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <span class="special">&amp;</span><span class="special">,</span>
  93                          <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  94   <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="non_central_c_idp936614800.html#idp936701536-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <span class="special">&amp;</span><span class="special">,</span>
  95                          <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  96 <span class="special">}</span><span class="special">;</span></pre></div>
  97 <div class="refsect1">
  98 <a name="idp590797936"></a><h2>Description</h2>
  99 <p>The noncentral chi-squared distribution is a real valued distribution with two parameter, <code class="computeroutput">k</code> and <code class="computeroutput">lambda</code>. The distribution produces values &gt; 0.</p>
 100 <p>This is the distribution of the sum of squares of k Normal distributed variates each with variance one and <span class="inlinemediaobject"><img src="../../images/random//form_31.png"></span> the sum of squares of the normal means.</p>
 101 <p>The distribution function is <span class="inlinemediaobject"><img src="../../images/random//form_32.png"></span>. where <span class="inlinemediaobject"><img src="../../images/random//form_33.png"></span> is a modified Bessel function of the first kind.</p>
 102 <p>The algorithm is taken from</p>
 103 <p> </p>
 104 <div class="blockquote"><blockquote class="blockquote"><p>  "Monte Carlo Methods in Financial Engineering", Paul Glasserman, 2003, XIII, 596 p, Stochastic Modelling and Applied Probability, Vol. 53, ISBN 978-0-387-21617-1, p 124, Fig. 3.5.  </p></blockquote></div>
 105 <p>  </p>
 106 <div class="refsect2">
 107 <a name="idp590809712"></a><h3>
 108 <a name="boost.random.non_central_c_idp936614800construct-copy-destruct"></a><code class="computeroutput">non_central_chi_squared_distribution</code>
 109         public
 110        construct/copy/destruct</h3>
 111 <div class="orderedlist"><ol class="orderedlist" type="1">
 112 <li class="listitem">
 113 <pre class="literallayout"><span class="keyword">explicit</span> <a name="idp936679152-bb"></a><span class="identifier">non_central_chi_squared_distribution</span><span class="special">(</span><span class="identifier">RealType</span> k <span class="special">=</span> <span class="number">1</span><span class="special">,</span>
 114                                               <span class="identifier">RealType</span> lambda <span class="special">=</span> <span class="number">1</span><span class="special">)</span><span class="special">;</span></pre>
 115 <p>Construct a <code class="computeroutput"><code class="computeroutput"><a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a></code></code> object. <code class="computeroutput">k</code> and <code class="computeroutput">lambda</code> are the parameter of the distribution.</p>
 116 <p>Requires: k &gt; 0 &amp;&amp; lambda &gt; 0 </p>
 117 </li>
 118 <li class="listitem">
 119 <pre class="literallayout"><span class="keyword">explicit</span> <a name="idp936684192-bb"></a><span class="identifier">non_central_chi_squared_distribution</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span> param<span class="special">)</span><span class="special">;</span></pre>
 120 <p>Construct a <code class="computeroutput"><code class="computeroutput"><a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a></code></code> object from the parameter. </p>
 121 </li>
 122 </ol></div>
 123 </div>
 124 <div class="refsect2">
 125 <a name="idp590833280"></a><h3>
 126 <a name="idp936658176-bb"></a><code class="computeroutput">non_central_chi_squared_distribution</code> public member functions</h3>
 127 <div class="orderedlist"><ol class="orderedlist" type="1">
 128 <li class="listitem">
 129 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> URNG<span class="special">&gt;</span>
 130   <span class="identifier">RealType</span> <a name="idp936658736-bb"></a><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span><span class="special">(</span><span class="identifier">URNG</span> <span class="special">&amp;</span> eng<span class="special">,</span> <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span> param<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
 131 <p>Returns a random variate distributed according to the non central chi squared distribution specified by <code class="computeroutput">param</code>. </p>
 132 </li>
 133 <li class="listitem">
 134 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> URNG<span class="special">&gt;</span> <span class="identifier">RealType</span> <a name="idp936663488-bb"></a><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span><span class="special">(</span><span class="identifier">URNG</span> <span class="special">&amp;</span> eng<span class="special">)</span><span class="special">;</span></pre>
 135 <p>Returns a random variate distributed according to the non central chi squared distribution. </p>
 136 </li>
 137 <li class="listitem">
 138 <pre class="literallayout"><span class="identifier">RealType</span> <a name="idp936666368-bb"></a><span class="identifier">k</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
 139 <p>Returns the <code class="computeroutput">k</code> parameter of the distribution. </p>
 140 </li>
 141 <li class="listitem">
 142 <pre class="literallayout"><span class="identifier">RealType</span> <a name="idp936668368-bb"></a><span class="identifier">lambda</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
 143 <p>Returns the <code class="computeroutput">lambda</code> parameter of the distribution. </p>
 144 </li>
 145 <li class="listitem">
 146 <pre class="literallayout"><a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <a name="idp936670368-bb"></a><span class="identifier">param</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
 147 <p>Returns the parameters of the distribution. </p>
 148 </li>
 149 <li class="listitem">
 150 <pre class="literallayout"><span class="keyword">void</span> <a name="idp936672064-bb"></a><span class="identifier">param</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span> param<span class="special">)</span><span class="special">;</span></pre>
 151 <p>Sets parameters of the distribution. </p>
 152 </li>
 153 <li class="listitem">
 154 <pre class="literallayout"><span class="keyword">void</span> <a name="idp936674480-bb"></a><span class="identifier">reset</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>
 155 <p>Resets the distribution, so that subsequent uses does not depend on values already produced by it. </p>
 156 </li>
 157 <li class="listitem">
 158 <pre class="literallayout"><span class="identifier">RealType</span> <a name="idp936675824-bb"></a><span class="identifier">min</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
 159 <p>Returns the smallest value that the distribution can produce. </p>
 160 </li>
 161 <li class="listitem">
 162 <pre class="literallayout"><span class="identifier">RealType</span> <a name="idp936677408-bb"></a><span class="identifier">max</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
 163 <p>Returns the largest value that the distribution can produce. </p>
 164 </li>
 165 </ol></div>
 166 </div>
 167 <div class="refsect2">
 168 <a name="idp590898736"></a><h3>
 169 <a name="idp936687216-bb"></a><code class="computeroutput">non_central_chi_squared_distribution</code> friend functions</h3>
 170 <div class="orderedlist"><ol class="orderedlist" type="1">
 171 <li class="listitem">
 172 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span>
 173   <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span>
 174   <a name="idp936687776-bb"></a><span class="keyword">operator</span><span class="special">&lt;&lt;</span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> os<span class="special">,</span>
 175              <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <span class="special">&amp;</span> dist<span class="special">)</span><span class="special">;</span></pre>
 176 <p>Writes the parameters of the distribution to a <code class="computeroutput">std::ostream</code>. </p>
 177 </li>
 178 <li class="listitem">
 179 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span>
 180   <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span>
 181   <a name="idp936692816-bb"></a><span class="keyword">operator</span><span class="special">&gt;&gt;</span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> is<span class="special">,</span>
 182              <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <span class="special">&amp;</span> dist<span class="special">)</span><span class="special">;</span></pre>
 183 <p>reads the parameters of the distribution from a <code class="computeroutput">std::istream</code>. </p>
 184 </li>
 185 <li class="listitem">
 186 <pre class="literallayout"><span class="keyword">friend</span> <span class="keyword">bool</span> <a name="idp936697856-bb"></a><span class="keyword">operator</span><span class="special">==</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <span class="special">&amp;</span> lhs<span class="special">,</span>
 187                        <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
 188 <p>Returns true if two distributions have the same parameters and produce the same sequence of random numbers given equal generators. </p>
 189 </li>
 190 <li class="listitem">
 191 <pre class="literallayout"><span class="keyword">friend</span> <span class="keyword">bool</span> <a name="idp936701536-bb"></a><span class="keyword">operator</span><span class="special">!=</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <span class="special">&amp;</span> lhs<span class="special">,</span>
 192                        <span class="keyword">const</span> <a class="link" href="non_central_c_idp936614800.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
 193 <p>Returns true if two distributions have different parameters and/or can produce different sequences of random numbers given equal generators. </p>
 194 </li>
 195 </ol></div>
 196 </div>
 197 </div>
 198 </div>
 199 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
 200 <td align="left"></td>
 201 <td align="right"><div class="copyright-footer">Copyright &#169; 2000-2005 Jens Maurer<br>Copyright &#169; 2009, 2010 Steven Watanabe<p>
 202         Distributed under the Boost Software License, Version 1.0. (See accompanying
 203         file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
 204       </p>
 205 </div></td>
 206 </tr></table>
 207 <hr>
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