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<title>Class template poisson_distribution</title>
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<div class="refentry">
<a name="boost.random.poisson_distribution"></a><div class="titlepage"></div>
<div class="refnamediv">
<h2><span class="refentrytitle">Class template poisson_distribution</span></h2>
<p>boost::random::poisson_distribution</p>
</div>
<h2 xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv-title">Synopsis</h2>
<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.poisson_distribution_hpp" title="Header &lt;boost/random/poisson_distribution.hpp&gt;">boost/random/poisson_distribution.hpp</a>&gt;

</span><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> 
<span class="keyword">class</span> <a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
  <span class="comment">// types</span>
  <span class="keyword">typedef</span> <span class="identifier">IntType</span>  <a name="boost.random.poisson_distribution.result_type"></a><span class="identifier">result_type</span><span class="special">;</span>
  <span class="keyword">typedef</span> <span class="identifier">RealType</span> <a name="boost.random.poisson_distribution.input_type"></a><span class="identifier">input_type</span><span class="special">;</span> 

  <span class="comment">// member classes/structs/unions</span>

  <span class="keyword">class</span> <a class="link" href="poisson_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">{</span>
  <span class="keyword">public</span><span class="special">:</span>
    <span class="comment">// types</span>
    <span class="keyword">typedef</span> <a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <a class="link" href="poisson_distribution/param_type.html#boost.random.poisson_distribution.param_type.distribution_type"><span class="identifier">distribution_type</span></a><span class="special">;</span>

    <span class="comment">// <a class="link" href="poisson_distribution/param_type.html#boost.random.poisson_distribution.param_typeconstruct-copy-destruct">construct/copy/destruct</a></span>
    <span class="keyword">explicit</span> <a class="link" href="poisson_distribution/param_type.html#idp60345736-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>

    <span class="comment">// <a class="link" href="poisson_distribution/param_type.html#idp60345064-bb">public member functions</a></span>
    <span class="identifier">RealType</span> <a class="link" href="poisson_distribution/param_type.html#idp60345272-bb"><span class="identifier">mean</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>

    <span class="comment">// <a class="link" href="poisson_distribution/param_type.html#idp60347192-bb">friend functions</a></span>
    <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> 
      <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> 
      <a class="link" href="poisson_distribution/param_type.html#idp60347400-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="poisson_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
    <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> 
      <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> 
      <a class="link" href="poisson_distribution/param_type.html#idp60349976-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> <a class="link" href="poisson_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
    <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="poisson_distribution/param_type.html#idp60352488-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="poisson_distribution/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="poisson_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
    <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="poisson_distribution/param_type.html#idp60354328-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="poisson_distribution/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="poisson_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="special">}</span><span class="special">;</span>

  <span class="comment">// <a class="link" href="poisson_distribution.html#boost.random.poisson_distributionconstruct-copy-destruct">construct/copy/destruct</a></span>
  <span class="keyword">explicit</span> <a class="link" href="poisson_distribution.html#idp60365592-bb"><span class="identifier">poisson_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>
  <span class="keyword">explicit</span> <a class="link" href="poisson_distribution.html#idp60367336-bb"><span class="identifier">poisson_distribution</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="poisson_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>

  <span class="comment">// <a class="link" href="poisson_distribution.html#idp60356840-bb">public member functions</a></span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> URNG<span class="special">&gt;</span> <span class="identifier">IntType</span> <a class="link" href="poisson_distribution.html#idp60357048-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><span class="special">;</span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> URNG<span class="special">&gt;</span> <span class="identifier">IntType</span> <a class="link" href="poisson_distribution.html#idp60358536-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="poisson_distribution/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>
  <span class="identifier">RealType</span> <a class="link" href="poisson_distribution.html#idp60360616-bb"><span class="identifier">mean</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="identifier">IntType</span> <a class="link" href="poisson_distribution.html#idp60361336-bb"><span class="identifier">min</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="identifier">IntType</span> <a class="link" href="poisson_distribution.html#idp60362056-bb"><span class="identifier">max</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <a class="link" href="poisson_distribution/param_type.html" title="Class param_type">param_type</a> <a class="link" href="poisson_distribution.html#idp60362776-bb"><span class="identifier">param</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="keyword">void</span> <a class="link" href="poisson_distribution.html#idp60363544-bb"><span class="identifier">param</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="poisson_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">void</span> <a class="link" href="poisson_distribution.html#idp60364808-bb"><span class="identifier">reset</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>

  <span class="comment">// <a class="link" href="poisson_distribution.html#idp60368776-bb">friend functions</a></span>
  <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> 
    <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> 
    <a class="link" href="poisson_distribution.html#idp60368984-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="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <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> 
    <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> 
    <a class="link" href="poisson_distribution.html#idp60371576-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> <a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="poisson_distribution.html#idp60374104-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <span class="special">&amp;</span><span class="special">,</span> 
                         <span class="keyword">const</span> <a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="poisson_distribution.html#idp60376024-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <span class="special">&amp;</span><span class="special">,</span> 
                         <span class="keyword">const</span> <a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
<span class="special">}</span><span class="special">;</span></pre></div>
<div class="refsect1">
<a name="idp197045352"></a><h2>Description</h2>
<p>An instantiation of the class template <code class="computeroutput"><a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a></code> is a model of <a class="link" href="../../boost_random/reference.html#boost_random.reference.concepts.random_distribution" title="Random Distribution">random distribution</a> . The poisson distribution has <span class="inlinemediaobject"><img src="../../images/random//form_17.png"></span></p>
<p>This implementation is based on the PTRD algorithm described</p>
<p> </p>
<div class="blockquote"><blockquote class="blockquote"><p>  "The transformed rejection method for generating Poisson random variables", Wolfgang Hormann, Insurance: Mathematics and Economics Volume 12, Issue 1, February 1993, Pages 39-45  </p></blockquote></div>
<p>  </p>
<div class="refsect2">
<a name="idp197048920"></a><h3>
<a name="boost.random.poisson_distributionconstruct-copy-destruct"></a><code class="computeroutput">poisson_distribution</code> 
        public
       construct/copy/destruct</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<pre class="literallayout"><span class="keyword">explicit</span> <a name="idp60365592-bb"></a><span class="identifier">poisson_distribution</span><span class="special">(</span><span class="identifier">RealType</span> mean <span class="special">=</span> <span class="number">1</span><span class="special">)</span><span class="special">;</span></pre>
<p>Constructs a <code class="computeroutput"><code class="computeroutput"><a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a></code></code> with the parameter <code class="computeroutput">mean</code>.</p>
<p>Requires: mean &gt; 0 </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">explicit</span> <a name="idp60367336-bb"></a><span class="identifier">poisson_distribution</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="poisson_distribution/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>
<p>Construct an <code class="computeroutput"><code class="computeroutput"><a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a></code></code> object from the parameters. </p>
</li>
</ol></div>
</div>
<div class="refsect2">
<a name="idp197058984"></a><h3>
<a name="idp60356840-bb"></a><code class="computeroutput">poisson_distribution</code> public member functions</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<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">IntType</span> <a name="idp60357048-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> urng<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
<p>Returns a random variate distributed according to the poisson distribution. </p>
</li>
<li class="listitem">
<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">IntType</span> <a name="idp60358536-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> urng<span class="special">,</span> <span class="keyword">const</span> <a class="link" href="poisson_distribution/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>
<p>Returns a random variate distributed according to the poisson distribution with parameters specified by param. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">RealType</span> <a name="idp60360616-bb"></a><span class="identifier">mean</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
<p>Returns the "mean" parameter of the distribution. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">IntType</span> <a name="idp60361336-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>
<p>Returns the smallest value that the distribution can produce. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">IntType</span> <a name="idp60362056-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>
<p>Returns the largest value that the distribution can produce. </p>
</li>
<li class="listitem">
<pre class="literallayout"><a class="link" href="poisson_distribution/param_type.html" title="Class param_type">param_type</a> <a name="idp60362776-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>
<p>Returns the parameters of the distribution. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="idp60363544-bb"></a><span class="identifier">param</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="poisson_distribution/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>
<p>Sets parameters of the distribution. </p>
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<pre class="literallayout"><span class="keyword">void</span> <a name="idp60364808-bb"></a><span class="identifier">reset</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>
<p>Effects: Subsequent uses of the distribution do not depend on values produced by any engine prior to invoking reset. </p>
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<div class="refsect2">
<a name="idp197087944"></a><h3>
<a name="idp60368776-bb"></a><code class="computeroutput">poisson_distribution</code> friend functions</h3>
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<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> 
  <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> 
  <a name="idp60368984-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> 
             <span class="keyword">const</span> <a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <span class="special">&amp;</span> pd<span class="special">)</span><span class="special">;</span></pre>
<p>Writes the parameters of the distribution to a <code class="computeroutput">std::ostream</code>. </p>
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<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> 
  <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> 
  <a name="idp60371576-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> 
             <a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <span class="special">&amp;</span> pd<span class="special">)</span><span class="special">;</span></pre>
<p>Reads the parameters of the distribution from a <code class="computeroutput">std::istream</code>. </p>
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<pre class="literallayout"><span class="keyword">friend</span> <span class="keyword">bool</span> <a name="idp60374104-bb"></a><span class="keyword">operator</span><span class="special">==</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <span class="special">&amp;</span> lhs<span class="special">,</span> 
                       <span class="keyword">const</span> <a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
<p>Returns true if the two distributions will produce the same sequence of values, given equal generators. </p>
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<li class="listitem">
<pre class="literallayout"><span class="keyword">friend</span> <span class="keyword">bool</span> <a name="idp60376024-bb"></a><span class="keyword">operator</span><span class="special">!=</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <span class="special">&amp;</span> lhs<span class="special">,</span> 
                       <span class="keyword">const</span> <a class="link" href="poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
<p>Returns true if the two distributions could produce different sequences of values, given equal generators. </p>
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</ol></div>
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<td align="right"><div class="copyright-footer">Copyright &#169; 2000-2005 Jens Maurer<br>Copyright &#169; 2009, 2010 Steven Watanabe<p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
        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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