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<div class="title">std::gamma_distribution&lt; _RealType &gt; Class Template Reference<div class="ingroups"><a class="el" href="a01476.html">Numerics</a> &raquo; <a class="el" href="a01494.html">Random Number Generation</a> &raquo; <a class="el" href="a01535.html">Random Number Distributions</a> &raquo; <a class="el" href="a01537.html">Normal Distributions</a></div></div>  </div>
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Public Types</h2></td></tr>
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<tr class="memitem:aaf1043f0be5e8da80224d77d62e23999"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a06327.html#aaf1043f0be5e8da80224d77d62e23999">gamma_distribution</a> (_RealType __alpha_val=_RealType(1), _RealType __beta_val=_RealType(1))</td></tr>
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&#160;</td><td class="memItemRight" valign="bottom"><b>gamma_distribution</b> (const <a class="el" href="a06331.html">param_type</a> &amp;__p)</td></tr>
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template&lt;typename _ForwardIterator , typename _UniformRandomNumberGenerator &gt; </td></tr>
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template&lt;typename _ForwardIterator , typename _UniformRandomNumberGenerator &gt; </td></tr>
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template&lt;typename _UniformRandomNumberGenerator &gt; </td></tr>
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<tr class="memitem:a72dba48d3f9781e948c535e37e7eabeb"><td class="memTemplParams" colspan="2">template&lt;typename _UniformRandomNumberGenerator &gt; </td></tr>
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Friends</h2></td></tr>
<tr class="memitem:a706fe0713381598aee2cf988bc299e5e"><td class="memTemplParams" colspan="2">template&lt;typename _RealType1 , typename _CharT , typename _Traits &gt; </td></tr>
<tr class="memitem:a706fe0713381598aee2cf988bc299e5e"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="a02463.html">std::basic_ostream</a>&lt; _CharT, _Traits &gt; &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a06327.html#a706fe0713381598aee2cf988bc299e5e">operator&lt;&lt;</a> (<a class="el" href="a02463.html">std::basic_ostream</a>&lt; _CharT, _Traits &gt; &amp;__os, const <a class="el" href="a06327.html">std::gamma_distribution</a>&lt; _RealType1 &gt; &amp;__x)</td></tr>
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<tr class="memitem:abe79b6964f9b74c546de48e9c34c7388"><td class="memTemplParams" colspan="2">template&lt;typename _RealType1 , typename _CharT , typename _Traits &gt; </td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template&lt;typename _RealType = double&gt;<br />
class std::gamma_distribution&lt; _RealType &gt;</h3>

<p>A gamma continuous distribution for random numbers. </p>
<p>The formula for the gamma probability density function is: </p><p class="formulaDsp">
<img class="formulaDsp" alt="\[ p(x|\alpha,\beta) = \frac{1}{\beta\Gamma(\alpha)} (x/\beta)^{\alpha - 1} e^{-x/\beta} \]" src="form_7.png"/>
</p>
 
<p class="definition">Definition at line <a class="el" href="a00452_source.html#l02352">2352</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>
</div><h2 class="groupheader">Member Typedef Documentation</h2>
<a id="aaa49ffe0d995ae8237a5dbad8ac7451c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aaa49ffe0d995ae8237a5dbad8ac7451c">&#9670;&nbsp;</a></span>result_type</h2>

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template&lt;typename _RealType = double&gt; </div>
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          <td class="memname">typedef _RealType <a class="el" href="a06327.html">std::gamma_distribution</a>&lt; _RealType &gt;::<a class="el" href="a06327.html#aaa49ffe0d995ae8237a5dbad8ac7451c">result_type</a></td>
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<p>The type of the range of the distribution. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l02355">2355</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="aaf1043f0be5e8da80224d77d62e23999"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aaf1043f0be5e8da80224d77d62e23999">&#9670;&nbsp;</a></span>gamma_distribution()</h2>

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template&lt;typename _RealType = double&gt; </div>
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          <td class="memname"><a class="el" href="a06327.html">std::gamma_distribution</a>&lt; _RealType &gt;::<a class="el" href="a06327.html">gamma_distribution</a> </td>
          <td>(</td>
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          <td class="paramname"><em>__alpha_val</em> = <code>_RealType(1)</code>, </td>
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<p>Constructs a gamma distribution with parameters <img class="formulaInl" alt="$\alpha$" src="form_33.png"/> and <img class="formulaInl" alt="$\beta$" src="form_34.png"/>. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l02409">2409</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<h2 class="groupheader">Member Function Documentation</h2>
<a id="a885140ca6e119c2c66130bcdd388038c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a885140ca6e119c2c66130bcdd388038c">&#9670;&nbsp;</a></span>alpha()</h2>

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template&lt;typename _RealType = double&gt; </div>
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          <td class="memname">_RealType <a class="el" href="a06327.html">std::gamma_distribution</a>&lt; _RealType &gt;::alpha </td>
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<p>Returns the <img class="formulaInl" alt="$\alpha$" src="form_33.png"/> of the distribution. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l02430">2430</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#ac68ca29e3655c78cf60ba8159d307d4b">&#9670;&nbsp;</a></span>beta()</h2>

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template&lt;typename _RealType = double&gt; </div>
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<p>Returns the <img class="formulaInl" alt="$\beta$" src="form_34.png"/> of the distribution. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l02437">2437</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#ae00d7ad063d15bb7162da61116552175">&#9670;&nbsp;</a></span>max()</h2>

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template&lt;typename _RealType = double&gt; </div>
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          <td class="memname"><a class="el" href="a06327.html#aaa49ffe0d995ae8237a5dbad8ac7451c">result_type</a> <a class="el" href="a06327.html">std::gamma_distribution</a>&lt; _RealType &gt;::max </td>
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<p>Returns the least upper bound value of the distribution. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l02466">2466</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<a id="a7dc4b8a5f0edcf447683b93607a8441e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7dc4b8a5f0edcf447683b93607a8441e">&#9670;&nbsp;</a></span>min()</h2>

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<p>Returns the greatest lower bound value of the distribution. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l02459">2459</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#a72dba48d3f9781e948c535e37e7eabeb">&#9670;&nbsp;</a></span>operator()() <span class="overload">[1/2]</span></h2>

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template&lt;typename _RealType = double&gt; </div>
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<p>Generating functions. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l02474">2474</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

<p class="reference">Referenced by <a class="el" href="a00452_source.html#l02474">std::gamma_distribution&lt; result_type &gt;::operator()()</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#a286dd68452eebd137ec7be7852a58fca">&#9670;&nbsp;</a></span>operator()() <span class="overload">[2/2]</span></h2>

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<p>Marsaglia, G. and Tsang, W. W. "A Simple Method for Generating Gamma Variables" ACM Transactions on Mathematical Software, 26, 3, 363-372, 2000. </p>

<p class="definition">Definition at line <a class="el" href="a17058_source.html#l02344">2344</a> of file <a class="el" href="a17058_source.html">bits/random.tcc</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#ad8b960699602dcafa9a4ca3895fa776a">&#9670;&nbsp;</a></span>param() <span class="overload">[1/2]</span></h2>

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<p>Returns the parameter set of the distribution. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l02444">2444</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

<p class="reference">Referenced by <a class="el" href="a00452_source.html#l02645">std::chi_squared_distribution&lt; _RealType &gt;::param()</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#ac1e8d68c10521bff382e0a14587d1dc4">&#9670;&nbsp;</a></span>param() <span class="overload">[2/2]</span></h2>

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<p>Sets the parameter set of the distribution. </p>
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<p class="definition">Definition at line <a class="el" href="a00452_source.html#l02452">2452</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#a305329ded629d15f8ff5f84d642357f9">&#9670;&nbsp;</a></span>reset()</h2>

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<p>Resets the distribution state. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l02423">2423</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

<p class="reference">Referenced by <a class="el" href="a00452_source.html#l02623">std::chi_squared_distribution&lt; _RealType &gt;::reset()</a>, <a class="el" href="a00452_source.html#l03056">std::fisher_f_distribution&lt; _RealType &gt;::reset()</a>, <a class="el" href="a00452_source.html#l03278">std::student_t_distribution&lt; _RealType &gt;::reset()</a>, and <a class="el" href="a00452_source.html#l04159">std::negative_binomial_distribution&lt; _IntType &gt;::reset()</a>.</p>

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<h2 class="groupheader">Friends And Related Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a706fe0713381598aee2cf988bc299e5e">&#9670;&nbsp;</a></span>operator&lt;&lt;</h2>

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<p>Inserts a gamma_distribution random number distribution <code>__x</code> into the output stream <code>__os</code>. </p>
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    <tr><td class="paramname">__os</td><td>An output stream. </td></tr>
    <tr><td class="paramname">__x</td><td>A gamma_distribution random number distribution.</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>The output stream with the state of <code>__x</code> inserted or in an error state. </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#ab60504a4db8724aede12258da566aede">&#9670;&nbsp;</a></span>operator==</h2>

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<p>Return true if two gamma distributions have the same parameters and the sequences that would be generated are equal. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l02510">2510</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#abe79b6964f9b74c546de48e9c34c7388">&#9670;&nbsp;</a></span>operator&gt;&gt;</h2>

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<p>Extracts a gamma_distribution random number distribution <code>__x</code> from the input stream <code>__is</code>. </p>
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<dl class="section return"><dt>Returns</dt><dd>The input stream with <code>__x</code> extracted or in an error state. </dd></dl>

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<hr/>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="a00452_source.html">random.h</a></li>
<li><a class="el" href="a17058_source.html">bits/random.tcc</a></li>
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