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<title>Class template binomial_distribution</title>
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<div class="refentry">
<a name="boost.random.binomial_distribution"></a><div class="titlepage"></div>
<div class="refnamediv">
<h2><span class="refentrytitle">Class template binomial_distribution</span></h2>
<p>boost::random::binomial_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: <<a class="link" href="../../boost_random/reference.html#header.boost.random.binomial_distribution_hpp" title="Header <boost/random/binomial_distribution.hpp>">boost/random/binomial_distribution.hpp</a>>
</span><span class="keyword">template</span><span class="special"><</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">></span>
<span class="keyword">class</span> <a class="link" href="binomial_distribution.html" title="Class template binomial_distribution">binomial_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.binomial_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.binomial_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="binomial_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="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a> <a class="link" href="binomial_distribution/param_type.html#boost.random.binomial_distribution.param_type.distribution_type"><span class="identifier">distribution_type</span></a><span class="special">;</span>
<span class="comment">// <a class="link" href="binomial_distribution/param_type.html#boost.random.binomial_distribution.param_typeconstruct-copy-destruct">construct/copy/destruct</a></span>
<span class="keyword">explicit</span> <a class="link" href="binomial_distribution/param_type.html#idp59275960-bb"><span class="identifier">param_type</span></a><span class="special">(</span><span class="identifier">IntType</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">0</span><span class="special">.</span><span class="number">5</span><span class="special">)</span><span class="special">;</span>
<span class="comment">// <a class="link" href="binomial_distribution/param_type.html#idp59273912-bb">public member functions</a></span>
<span class="identifier">IntType</span> <a class="link" href="binomial_distribution/param_type.html#idp59274120-bb"><span class="identifier">t</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
<span class="identifier">RealType</span> <a class="link" href="binomial_distribution/param_type.html#idp59275032-bb"><span class="identifier">p</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="binomial_distribution/param_type.html#idp59278360-bb">friend functions</a></span>
<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>
<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>
<a class="link" href="binomial_distribution/param_type.html#idp59278568-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="binomial_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
<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>
<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>
<a class="link" href="binomial_distribution/param_type.html#idp59281144-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="binomial_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="binomial_distribution/param_type.html#idp59253176-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="binomial_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="binomial_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="binomial_distribution/param_type.html#idp59255016-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="binomial_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="binomial_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
<span class="special">}</span><span class="special">;</span>
<span class="comment">// <a class="link" href="binomial_distribution.html#boost.random.binomial_distributionconstruct-copy-destruct">construct/copy/destruct</a></span>
<span class="keyword">explicit</span> <a class="link" href="binomial_distribution.html#idp59267672-bb"><span class="identifier">binomial_distribution</span></a><span class="special">(</span><span class="identifier">IntType</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">0</span><span class="special">.</span><span class="number">5</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">explicit</span> <a class="link" href="binomial_distribution.html#idp59270136-bb"><span class="identifier">binomial_distribution</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="binomial_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
<span class="comment">// <a class="link" href="binomial_distribution.html#idp59257528-bb">public member functions</a></span>
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> URNG<span class="special">></span> <span class="identifier">IntType</span> <a class="link" href="binomial_distribution.html#idp59257736-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><span class="special">;</span>
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> URNG<span class="special">></span> <span class="identifier">IntType</span> <a class="link" href="binomial_distribution.html#idp59259224-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="binomial_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>
<span class="identifier">IntType</span> <a class="link" href="binomial_distribution.html#idp59261528-bb"><span class="identifier">t</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
<span class="identifier">RealType</span> <a class="link" href="binomial_distribution.html#idp59262456-bb"><span class="identifier">p</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="binomial_distribution.html#idp59263416-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="binomial_distribution.html#idp59264136-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="binomial_distribution/param_type.html" title="Class param_type">param_type</a> <a class="link" href="binomial_distribution.html#idp59264856-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="binomial_distribution.html#idp59265624-bb"><span class="identifier">param</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="binomial_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">void</span> <a class="link" href="binomial_distribution.html#idp59266888-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="binomial_distribution.html#idp59271576-bb">friend functions</a></span>
<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>
<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>
<a class="link" href="binomial_distribution.html#idp59271784-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="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
<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>
<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>
<a class="link" href="binomial_distribution.html#idp59243912-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="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="binomial_distribution.html#idp59246440-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a> <span class="special">&</span><span class="special">,</span>
<span class="keyword">const</span> <a class="link" href="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="binomial_distribution.html#idp59248360-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a> <span class="special">&</span><span class="special">,</span>
<span class="keyword">const</span> <a class="link" href="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
<span class="special">}</span><span class="special">;</span></pre></div>
<div class="refsect1">
<a name="idp190333496"></a><h2>Description</h2>
<p>The binomial distribution is an integer valued distribution with two parameters, <code class="computeroutput">t</code> and <code class="computeroutput">p</code>. The values of the distribution are within the range [0,t].</p>
<p>The distribution function is <span class="inlinemediaobject"><img src="../../images/random//form_0.png"></span>.</p>
<p>The algorithm used is the BTRD algorithm described in</p>
<p> </p>
<div class="blockquote"><blockquote class="blockquote"><p> "The generation of binomial random variates", Wolfgang Hormann, Journal of Statistical Computation and Simulation, Volume 46, Issue 1 & 2 April 1993 , pages 101 - 110 </p></blockquote></div>
<p> </p>
<div class="refsect2">
<a name="idp190337080"></a><h3>
<a name="boost.random.binomial_distributionconstruct-copy-destruct"></a><code class="computeroutput">binomial_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="idp59267672-bb"></a><span class="identifier">binomial_distribution</span><span class="special">(</span><span class="identifier">IntType</span> t <span class="special">=</span> <span class="number">1</span><span class="special">,</span> <span class="identifier">RealType</span> p <span class="special">=</span> <span class="number">0</span><span class="special">.</span><span class="number">5</span><span class="special">)</span><span class="special">;</span></pre>
<p>Construct a <code class="computeroutput"><code class="computeroutput"><a class="link" href="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a></code></code> object. <code class="computeroutput">t</code> and <code class="computeroutput">p</code> are the parameters of the distribution.</p>
<p>Requires: t >=0 && 0 <= p <= 1 </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">explicit</span> <a name="idp59270136-bb"></a><span class="identifier">binomial_distribution</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="binomial_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>
<p>Construct an <code class="computeroutput"><code class="computeroutput"><a class="link" href="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a></code></code> object from the parameters. </p>
</li>
</ol></div>
</div>
<div class="refsect2">
<a name="idp190349160"></a><h3>
<a name="idp59257528-bb"></a><code class="computeroutput">binomial_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"><</span><span class="keyword">typename</span> URNG<span class="special">></span> <span class="identifier">IntType</span> <a name="idp59257736-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><span class="special">;</span></pre>
<p>Returns a random variate distributed according to the binomial distribution. </p>
</li>
<li class="listitem">
<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">IntType</span> <a name="idp59259224-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="binomial_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>
<p>Returns a random variate distributed according to the binomial distribution with parameters specified by <code class="computeroutput">param</code>. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">IntType</span> <a name="idp59261528-bb"></a><span class="identifier">t</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
<p>Returns the <code class="computeroutput">t</code> parameter of the distribution. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">RealType</span> <a name="idp59262456-bb"></a><span class="identifier">p</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
<p>Returns the <code class="computeroutput">p</code> parameter of the distribution. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">IntType</span> <a name="idp59263416-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="idp59264136-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="binomial_distribution/param_type.html" title="Class param_type">param_type</a> <a name="idp59264856-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="idp59265624-bb"></a><span class="identifier">param</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="binomial_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>
<p>Sets parameters of the distribution. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="idp59266888-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>
</li>
</ol></div>
</div>
<div class="refsect2">
<a name="idp190381592"></a><h3>
<a name="idp59271576-bb"></a><code class="computeroutput">binomial_distribution</code> friend functions</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<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>
<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>
<a name="idp59271784-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>
<span class="keyword">const</span> <a class="link" href="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a> <span class="special">&</span> bd<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"><</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">></span>
<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>
<a name="idp59243912-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>
<a class="link" href="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a> <span class="special">&</span> bd<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="idp59246440-bb"></a><span class="keyword">operator</span><span class="special">==</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a> <span class="special">&</span> lhs<span class="special">,</span>
<span class="keyword">const</span> <a class="link" href="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a> <span class="special">&</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="idp59248360-bb"></a><span class="keyword">operator</span><span class="special">!=</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a> <span class="special">&</span> lhs<span class="special">,</span>
<span class="keyword">const</span> <a class="link" href="binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a> <span class="special">&</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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<td align="right"><div class="copyright-footer">Copyright © 2000-2005 Jens Maurer<br>Copyright © 2009, 2010 Steven Watanabe<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
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