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5 <title>Class template chi_squared_distribution</title>
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26 <div class="refentry">
27 <a name="boost.random.chi_squared_distribution"></a><div class="titlepage"></div>
28 <div class="refnamediv">
29 <h2><span class="refentrytitle">Class template chi_squared_distribution</span></h2>
30 <p>boost::random::chi_squared_distribution</p>
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: <<a class="link" href="../../boost_random/reference.html#header.boost.random.chi_squared_distribution_hpp" title="Header <boost/random/chi_squared_distribution.hpp>">boost/random/chi_squared_distribution.hpp</a>>
35 </span><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span>
36 <span class="keyword">class</span> <a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">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.chi_squared_distribution.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.chi_squared_distribution.input_type"></a><span class="identifier">input_type</span><span class="special">;</span>
42 <span class="comment">// member classes/structs/unions</span>
44 <span class="keyword">class</span> <a class="link" href="chi_squared_distribution/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="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a> <a class="link" href="chi_squared_distribution/param_type.html#boost.random.chi_squared_distribution.param_type.distribution_type"><span class="identifier">distribution_type</span></a><span class="special">;</span>
49 <span class="comment">// <a class="link" href="chi_squared_distribution/param_type.html#boost.random.chi_squared_distribution.param_typeconstruct-copy-destruct">construct/copy/destruct</a></span>
50 <span class="keyword">explicit</span> <a class="link" href="chi_squared_distribution/param_type.html#idp708458256-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="special">;</span>
52 <span class="comment">// <a class="link" href="chi_squared_distribution/param_type.html#idp708455536-bb">public member functions</a></span>
53 <span class="identifier">RealType</span> <a class="link" href="chi_squared_distribution/param_type.html#idp708456096-bb"><span class="identifier">n</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
55 <span class="comment">// <a class="link" href="chi_squared_distribution/param_type.html#idp708461728-bb">friend functions</a></span>
56 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">></span>
57 <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special"><</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">></span> <span class="special">&</span>
58 <a class="link" href="chi_squared_distribution/param_type.html#idp708462288-bb"><span class="keyword">operator</span><span class="special"><<</span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special"><</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">></span> <span class="special">&</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
59 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">></span>
60 <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special"><</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">></span> <span class="special">&</span>
61 <a class="link" href="chi_squared_distribution/param_type.html#idp708467312-bb"><span class="keyword">operator</span><span class="special">>></span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special"><</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">></span> <span class="special">&</span><span class="special">,</span> <a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
62 <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="chi_squared_distribution/param_type.html#idp708472176-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
63 <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="chi_squared_distribution/param_type.html#idp708475744-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
64 <span class="special">}</span><span class="special">;</span>
66 <span class="comment">// <a class="link" href="chi_squared_distribution.html#boost.random.chi_squared_distributionconstruct-copy-destruct">construct/copy/destruct</a></span>
67 <span class="keyword">explicit</span> <a class="link" href="chi_squared_distribution.html#idp708500144-bb"><span class="identifier">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="special">;</span>
68 <span class="keyword">explicit</span> <a class="link" href="chi_squared_distribution.html#idp708503744-bb"><span class="identifier">chi_squared_distribution</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
70 <span class="comment">// <a class="link" href="chi_squared_distribution.html#idp708481168-bb">public member functions</a></span>
71 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> URNG<span class="special">></span> <span class="identifier">RealType</span> <a class="link" href="chi_squared_distribution.html#idp708481728-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">&</span><span class="special">)</span><span class="special">;</span>
72 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> URNG<span class="special">></span>
73 <span class="identifier">RealType</span> <a class="link" href="chi_squared_distribution.html#idp708484592-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">&</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
74 <span class="identifier">RealType</span> <a class="link" href="chi_squared_distribution.html#idp708489344-bb"><span class="identifier">n</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
75 <span class="identifier">RealType</span> <a class="link" href="chi_squared_distribution.html#idp708491344-bb"><span class="identifier">min</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="chi_squared_distribution.html#idp708492928-bb"><span class="identifier">max</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
77 <a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <a class="link" href="chi_squared_distribution.html#idp708494512-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="chi_squared_distribution.html#idp708496208-bb"><span class="identifier">param</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
79 <span class="keyword">void</span> <a class="link" href="chi_squared_distribution.html#idp708498624-bb"><span class="identifier">reset</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>
81 <span class="comment">// <a class="link" href="chi_squared_distribution.html#idp708506752-bb">friend functions</a></span>
82 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">></span>
83 <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special"><</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">></span> <span class="special">&</span>
84 <a class="link" href="chi_squared_distribution.html#idp708507312-bb"><span class="keyword">operator</span><span class="special"><<</span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special"><</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">></span> <span class="special">&</span><span class="special">,</span>
85 <span class="keyword">const</span> <a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
86 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">></span>
87 <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special"><</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">></span> <span class="special">&</span>
88 <a class="link" href="chi_squared_distribution.html#idp708512352-bb"><span class="keyword">operator</span><span class="special">>></span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special"><</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">></span> <span class="special">&</span><span class="special">,</span>
89 <a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
90 <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="chi_squared_distribution.html#idp708517232-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a> <span class="special">&</span><span class="special">,</span>
91 <span class="keyword">const</span> <a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
92 <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="chi_squared_distribution.html#idp708520896-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a> <span class="special">&</span><span class="special">,</span>
93 <span class="keyword">const</span> <a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
94 <span class="special">}</span><span class="special">;</span></pre></div>
95 <div class="refsect1">
96 <a name="idp491317088"></a><h2>Description</h2>
97 <p>The chi squared distribution is a real valued distribution with one parameter, <code class="computeroutput">n</code>. The distribution produces values > 0.</p>
98 <p>The distribution function is <span class="inlinemediaobject"><img src="../../images/random//form_3.png"></span>. </p>
99 <div class="refsect2">
100 <a name="idp491321392"></a><h3>
101 <a name="boost.random.chi_squared_distributionconstruct-copy-destruct"></a><code class="computeroutput">chi_squared_distribution</code>
103 construct/copy/destruct</h3>
104 <div class="orderedlist"><ol class="orderedlist" type="1">
105 <li class="listitem">
106 <pre class="literallayout"><span class="keyword">explicit</span> <a name="idp708500144-bb"></a><span class="identifier">chi_squared_distribution</span><span class="special">(</span><span class="identifier">RealType</span> n <span class="special">=</span> <span class="number">1</span><span class="special">)</span><span class="special">;</span></pre>
107 <p>Construct a <code class="computeroutput"><code class="computeroutput"><a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a></code></code> object. <code class="computeroutput">n</code> is the parameter of the distribution.</p>
108 <p>Requires: t >=0 && 0 <= p <= 1 </p>
110 <li class="listitem">
111 <pre class="literallayout"><span class="keyword">explicit</span> <a name="idp708503744-bb"></a><span class="identifier">chi_squared_distribution</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span> param<span class="special">)</span><span class="special">;</span></pre>
112 <p>Construct an <code class="computeroutput"><code class="computeroutput"><a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a></code></code> object from the parameters. </p>
116 <div class="refsect2">
117 <a name="idp491341568"></a><h3>
118 <a name="idp708481168-bb"></a><code class="computeroutput">chi_squared_distribution</code> public member functions</h3>
119 <div class="orderedlist"><ol class="orderedlist" type="1">
120 <li class="listitem">
121 <pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> URNG<span class="special">></span> <span class="identifier">RealType</span> <a name="idp708481728-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">&</span> urng<span class="special">)</span><span class="special">;</span></pre>
122 <p>Returns a random variate distributed according to the chi squared distribution. </p>
124 <li class="listitem">
125 <pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> URNG<span class="special">></span>
126 <span class="identifier">RealType</span> <a name="idp708484592-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">&</span> urng<span class="special">,</span> <span class="keyword">const</span> <a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span> param<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
127 <p>Returns a random variate distributed according to the chi squared distribution with parameters specified by <code class="computeroutput">param</code>. </p>
129 <li class="listitem">
130 <pre class="literallayout"><span class="identifier">RealType</span> <a name="idp708489344-bb"></a><span class="identifier">n</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
131 <p>Returns the <code class="computeroutput">n</code> parameter of the distribution. </p>
133 <li class="listitem">
134 <pre class="literallayout"><span class="identifier">RealType</span> <a name="idp708491344-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>
135 <p>Returns the smallest value that the distribution can produce. </p>
137 <li class="listitem">
138 <pre class="literallayout"><span class="identifier">RealType</span> <a name="idp708492928-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>
139 <p>Returns the largest value that the distribution can produce. </p>
141 <li class="listitem">
142 <pre class="literallayout"><a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <a name="idp708494512-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>
143 <p>Returns the parameters of the distribution. </p>
145 <li class="listitem">
146 <pre class="literallayout"><span class="keyword">void</span> <a name="idp708496208-bb"></a><span class="identifier">param</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="chi_squared_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span> param<span class="special">)</span><span class="special">;</span></pre>
147 <p>Sets parameters of the distribution. </p>
149 <li class="listitem">
150 <pre class="literallayout"><span class="keyword">void</span> <a name="idp708498624-bb"></a><span class="identifier">reset</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>
151 <p>Effects: Subsequent uses of the distribution do not depend on values produced by any engine prior to invoking reset. </p>
155 <div class="refsect2">
156 <a name="idp491400832"></a><h3>
157 <a name="idp708506752-bb"></a><code class="computeroutput">chi_squared_distribution</code> friend functions</h3>
158 <div class="orderedlist"><ol class="orderedlist" type="1">
159 <li class="listitem">
160 <pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">></span>
161 <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special"><</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">></span> <span class="special">&</span>
162 <a name="idp708507312-bb"></a><span class="keyword">operator</span><span class="special"><<</span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special"><</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">></span> <span class="special">&</span> os<span class="special">,</span>
163 <span class="keyword">const</span> <a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a> <span class="special">&</span> c2d<span class="special">)</span><span class="special">;</span></pre>
164 <p>Writes the parameters of the distribution to a <code class="computeroutput">std::ostream</code>. </p>
166 <li class="listitem">
167 <pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">></span>
168 <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special"><</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">></span> <span class="special">&</span>
169 <a name="idp708512352-bb"></a><span class="keyword">operator</span><span class="special">>></span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special"><</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">></span> <span class="special">&</span> is<span class="special">,</span>
170 <a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a> <span class="special">&</span> c2d<span class="special">)</span><span class="special">;</span></pre>
171 <p>Reads the parameters of the distribution from a <code class="computeroutput">std::istream</code>. </p>
173 <li class="listitem">
174 <pre class="literallayout"><span class="keyword">friend</span> <span class="keyword">bool</span> <a name="idp708517232-bb"></a><span class="keyword">operator</span><span class="special">==</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a> <span class="special">&</span> lhs<span class="special">,</span>
175 <span class="keyword">const</span> <a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a> <span class="special">&</span> rhs<span class="special">)</span><span class="special">;</span></pre>
176 <p>Returns true if the two distributions will produce the same sequence of values, given equal generators. </p>
178 <li class="listitem">
179 <pre class="literallayout"><span class="keyword">friend</span> <span class="keyword">bool</span> <a name="idp708520896-bb"></a><span class="keyword">operator</span><span class="special">!=</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a> <span class="special">&</span> lhs<span class="special">,</span>
180 <span class="keyword">const</span> <a class="link" href="chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a> <span class="special">&</span> rhs<span class="special">)</span><span class="special">;</span></pre>
181 <p>Returns true if the two distributions could produce different sequences of values, given equal generators. </p>
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189 <td align="right"><div class="copyright-footer">Copyright © 2000-2005 Jens Maurer<br>Copyright © 2009, 2010 Steven Watanabe<p>
190 Distributed under the Boost Software License, Version 1.0. (See accompanying
191 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>)
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