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<div class="title">std::binomial_distribution< _IntType > Class Template Reference<div class="ingroups"><a class="el" href="a01476.html">Numerics</a> » <a class="el" href="a01494.html">Random Number Generation</a> » <a class="el" href="a01535.html">Random Number Distributions</a> » <a class="el" href="a01538.html">Bernoulli Distributions</a></div></div> </div>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="a06379.html">param_type</a></td></tr>
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Public Types</h2></td></tr>
<tr class="memitem:af4383227c82a6c0ee7d105c6b9bad120"><td class="memItemLeft" align="right" valign="top">typedef _IntType </td><td class="memItemRight" valign="bottom"><a class="el" href="a06375.html#af4383227c82a6c0ee7d105c6b9bad120">result_type</a></td></tr>
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 </td><td class="memItemRight" valign="bottom"><b>binomial_distribution</b> (_IntType __t=_IntType(1), double __p=0.5)</td></tr>
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 </td><td class="memItemRight" valign="bottom"><b>binomial_distribution</b> (const <a class="el" href="a06379.html">param_type</a> &__p)</td></tr>
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template<typename _ForwardIterator , typename _UniformRandomNumberGenerator > </td></tr>
<tr class="memitem:a28a047a8bb90ecefb04965d8d7b668d6"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><b>__generate</b> (_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator &__urng)</td></tr>
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template<typename _ForwardIterator , typename _UniformRandomNumberGenerator > </td></tr>
<tr class="memitem:a9cd68d89296cc6d4d9c07b188485f642"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><b>__generate</b> (_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator &__urng, const <a class="el" href="a06379.html">param_type</a> &__p)</td></tr>
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template<typename _UniformRandomNumberGenerator > </td></tr>
<tr class="memitem:ada8d68a60e5c7852bc57595b34bd0449"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><b>__generate</b> (<a class="el" href="a06375.html#af4383227c82a6c0ee7d105c6b9bad120">result_type</a> *__f, <a class="el" href="a06375.html#af4383227c82a6c0ee7d105c6b9bad120">result_type</a> *__t, _UniformRandomNumberGenerator &__urng, const <a class="el" href="a06379.html">param_type</a> &__p)</td></tr>
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<tr class="memitem:a81e88f1000ed08018856b1b908acae12"><td class="memTemplParams" colspan="2">template<typename _UniformRandomNumberGenerator > </td></tr>
<tr class="memitem:a81e88f1000ed08018856b1b908acae12"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="a06375.html#af4383227c82a6c0ee7d105c6b9bad120">result_type</a> </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a06375.html#a81e88f1000ed08018856b1b908acae12">operator()</a> (_UniformRandomNumberGenerator &__urng)</td></tr>
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<tr class="memitem:aff0946f83a897c9f8b42f88d9e6d24c6"><td class="memTemplParams" colspan="2">template<typename _UniformRandomNumberGenerator > </td></tr>
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Friends</h2></td></tr>
<tr class="memitem:a414a99f11823d3fdfed86fc37f55690b"><td class="memTemplParams" colspan="2">template<typename _IntType1 , typename _CharT , typename _Traits > </td></tr>
<tr class="memitem:a414a99f11823d3fdfed86fc37f55690b"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="a02463.html">std::basic_ostream</a>< _CharT, _Traits > & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a06375.html#a414a99f11823d3fdfed86fc37f55690b">operator<<</a> (<a class="el" href="a02463.html">std::basic_ostream</a>< _CharT, _Traits > &__os, const <a class="el" href="a06375.html">std::binomial_distribution</a>< _IntType1 > &__x)</td></tr>
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<tr class="memitem:a98cae54fe8bdfb6ad29aa3577b02e50c"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="a06375.html#a98cae54fe8bdfb6ad29aa3577b02e50c">operator==</a> (const <a class="el" href="a06375.html">binomial_distribution</a> &__d1, const <a class="el" href="a06375.html">binomial_distribution</a> &__d2)</td></tr>
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<tr class="memitem:a6770ba69c9a9d9b6d45fb2d262b6739d"><td class="memTemplParams" colspan="2">template<typename _IntType1 , typename _CharT , typename _Traits > </td></tr>
<tr class="memitem:a6770ba69c9a9d9b6d45fb2d262b6739d"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="a02459.html">std::basic_istream</a>< _CharT, _Traits > & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a06375.html#a6770ba69c9a9d9b6d45fb2d262b6739d">operator>></a> (<a class="el" href="a02459.html">std::basic_istream</a>< _CharT, _Traits > &__is, <a class="el" href="a06375.html">std::binomial_distribution</a>< _IntType1 > &__x)</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template<typename _IntType = int><br />
class std::binomial_distribution< _IntType ></h3>
<p>A discrete binomial random number distribution. </p>
<p>The formula for the binomial probability density function is <img class="formulaInl" alt="$p(i|t,p) = \binom{t}{i} p^i (1 - p)^{t - i}$" src="form_14.png"/> where <img class="formulaInl" alt="$t$" src="form_15.png"/> and <img class="formulaInl" alt="$p$" src="form_12.png"/> are the parameters of the distribution. </p>
<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03662">3662</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>
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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#l03665">3665</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>
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<h2 class="memtitle"><span class="permalink"><a href="#a3699dfeea620a15824d48f712df52b0c">◆ </a></span>max()</h2>
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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#l03777">3777</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>
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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#l03770">3770</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>
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<p>Generating functions. </p>
<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03785">3785</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>
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<p>A rejection algorithm when t * p >= 8 and a simple waiting time method - the second in the referenced book - otherwise. NB: The former is available only if _GLIBCXX_USE_C99_MATH_TR1 is defined.</p>
<p>Reference: Devroye, L. Non-Uniform Random Variates Generation. Springer-Verlag, New York, 1986, Ch. X, Sect. 4 (+ Errata!). </p>
<p class="definition">Definition at line <a class="el" href="a17058_source.html#l01537">1537</a> of file <a class="el" href="a17058_source.html">bits/random.tcc</a>.</p>
<p class="reference">References <a class="el" href="a00053_source.html#l00622">std::abs()</a>, <a class="el" href="a00095_source.html#l00333">std::numeric_limits< _Tp >::epsilon()</a>, <a class="el" href="a00053_source.html#l00813">std::log()</a>, and <a class="el" href="a00095_source.html#l00321">std::numeric_limits< _Tp >::max()</a>.</p>
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<td class="memname">double <a class="el" href="a06375.html">std::binomial_distribution</a>< _IntType >::p </td>
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<p>Returns the distribution <code>p</code> parameter. </p>
<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03748">3748</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>
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<td class="memname"><a class="el" href="a06379.html">param_type</a> <a class="el" href="a06375.html">std::binomial_distribution</a>< _IntType >::param </td>
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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#l03755">3755</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>
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<p>Sets the parameter set of the distribution. </p>
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<tr><td class="paramname">__param</td><td>The new parameter set of the distribution. </td></tr>
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<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03763">3763</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="#acac7f32aa4a2b3ac2e512c5097aa70dc">◆ </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#l03734">3734</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>
<p class="reference">References <a class="el" href="a00452_source.html#l01989">std::normal_distribution< _RealType >::reset()</a>.</p>
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<p>Returns the distribution <code>t</code> parameter. </p>
<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03741">3741</a> of file <a class="el" href="a00452_source.html">random.h</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="#a414a99f11823d3fdfed86fc37f55690b">◆ </a></span>operator<<</h2>
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<p>Inserts a binomial_distribution random number distribution <code>__x</code> into the output stream <code>__os</code>. </p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">__os</td><td>An output stream. </td></tr>
<tr><td class="paramname">__x</td><td>A binomial_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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<p>Return true if two binomial 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#l03821">3821</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>
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<p>Extracts a binomial_distribution random number distribution <code>__x</code> from the input stream <code>__is</code>. </p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">__is</td><td>An input stream. </td></tr>
<tr><td class="paramname">__x</td><td>A binomial_distribution random number generator engine.</td></tr>
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</dd>
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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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