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<div class="title">std::normal_distribution< _RealType > Class Template Reference<div class="ingroups"><a class="el" href="a01748.html">Normal 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="a00898.html">param_type</a></td></tr>
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<tr class="memitem:ae45488abda3f5b20d944da2da5a70001"><td class="memItemLeft" align="right" valign="top">typedef _RealType </td><td class="memItemRight" valign="bottom"><a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a></td></tr>
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<tr class="memitem:a658ac956ac7ba2337b60388d188d09cf"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="a00469.html#a658ac956ac7ba2337b60388d188d09cf">normal_distribution</a> (<a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a> __mean=<a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a>(0), <a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a> __stddev=<a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a>(1))</td></tr>
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 </td><td class="memItemRight" valign="bottom"><b>normal_distribution</b> (const <a class="el" href="a00898.html">param_type</a> &__p)</td></tr>
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template<typename _ForwardIterator , typename _UniformRandomNumberGenerator > </td></tr>
<tr class="memitem:a9a34eb16548d9b9c0ca550fc1978425a"><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:a0acace466d66dc36f8b53bb5d9f6415b"><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="a00898.html">param_type</a> &__p)</td></tr>
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template<typename _UniformRandomNumberGenerator > </td></tr>
<tr class="memitem:aa5a06493b317be1649d3a60b028e5dad"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><b>__generate</b> (<a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a> *__f, <a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a> *__t, _UniformRandomNumberGenerator &__urng, const <a class="el" href="a00898.html">param_type</a> &__p)</td></tr>
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<tr class="memitem:abf8b9726208c31a7965c44ad92d10a03"><td class="memItemLeft" align="right" valign="top"><a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="a00469.html#abf8b9726208c31a7965c44ad92d10a03">max</a> () const </td></tr>
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<tr class="memitem:a0cc990f30ca9465d810b353623a58482"><td class="memItemLeft" align="right" valign="top">_RealType </td><td class="memItemRight" valign="bottom"><a class="el" href="a00469.html#a0cc990f30ca9465d810b353623a58482">mean</a> () const </td></tr>
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<tr class="memitem:ab9c862ec740bece9b11ca9ef45bdc598"><td class="memTemplParams" colspan="2">template<typename _UniformRandomNumberGenerator > </td></tr>
<tr class="memitem:ab9c862ec740bece9b11ca9ef45bdc598"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="a00469.html">normal_distribution</a>< _RealType ><br class="typebreak"/>
::<a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a> </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00469.html#ab9c862ec740bece9b11ca9ef45bdc598">operator()</a> (_UniformRandomNumberGenerator &__urng, const <a class="el" href="a00898.html">param_type</a> &__param)</td></tr>
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<tr class="memitem:ae67f6ec56c5564a3521d734d90f35501"><td class="memTemplParams" colspan="2">template<typename _UniformRandomNumberGenerator > </td></tr>
<tr class="memitem:ae67f6ec56c5564a3521d734d90f35501"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a> </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00469.html#ae67f6ec56c5564a3521d734d90f35501">operator()</a> (_UniformRandomNumberGenerator &__urng)</td></tr>
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template<typename _UniformRandomNumberGenerator > </td></tr>
<tr class="memitem:ac7dc7433d373a121fb017036e179dbe7"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a> </td><td class="memTemplItemRight" valign="bottom"><b>operator()</b> (_UniformRandomNumberGenerator &__urng, const <a class="el" href="a00898.html">param_type</a> &__p)</td></tr>
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<tr class="memitem:a9e150060b4fd9ea4fef8f07d8b249944"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="a00469.html#a9e150060b4fd9ea4fef8f07d8b249944">param</a> (const <a class="el" href="a00898.html">param_type</a> &__param)</td></tr>
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<tr class="memitem:a757217130ef7b0eb980500afc8bd865c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="a00469.html#a757217130ef7b0eb980500afc8bd865c">reset</a> ()</td></tr>
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<tr class="memitem:ae296755d6348c6d0b3f375c874b55f46"><td class="memItemLeft" align="right" valign="top">_RealType </td><td class="memItemRight" valign="bottom"><a class="el" href="a00469.html#ae296755d6348c6d0b3f375c874b55f46">stddev</a> () const </td></tr>
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Friends</h2></td></tr>
<tr class="memitem:abdfecf8325ed9e856625871fee2c56a3"><td class="memTemplParams" colspan="2">template<typename _RealType1 , typename _CharT , typename _Traits > </td></tr>
<tr class="memitem:abdfecf8325ed9e856625871fee2c56a3"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="a00451.html">std::basic_ostream</a>< _CharT, <br class="typebreak"/>
_Traits > & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00469.html#abdfecf8325ed9e856625871fee2c56a3">operator<<</a> (<a class="el" href="a00451.html">std::basic_ostream</a>< _CharT, _Traits > &__os, const <a class="el" href="a00469.html">std::normal_distribution</a>< _RealType1 > &__x)</td></tr>
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<tr class="memitem:afaafdb22ede1508109622f89f50e213d"><td class="memTemplParams" colspan="2">template<typename _RealType1 > </td></tr>
<tr class="memitem:afaafdb22ede1508109622f89f50e213d"><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00469.html#afaafdb22ede1508109622f89f50e213d">operator==</a> (const <a class="el" href="a00469.html">std::normal_distribution</a>< _RealType1 > &__d1, const <a class="el" href="a00469.html">std::normal_distribution</a>< _RealType1 > &__d2)</td></tr>
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<tr class="memitem:ac440bfeab944ac2efe370a05088ed47c"><td class="memTemplParams" colspan="2">template<typename _RealType1 , typename _CharT , typename _Traits > </td></tr>
<tr class="memitem:ac440bfeab944ac2efe370a05088ed47c"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="a00450.html">std::basic_istream</a>< _CharT, <br class="typebreak"/>
_Traits > & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00469.html#ac440bfeab944ac2efe370a05088ed47c">operator>></a> (<a class="el" href="a00450.html">std::basic_istream</a>< _CharT, _Traits > &__is, <a class="el" href="a00469.html">std::normal_distribution</a>< _RealType1 > &__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 _RealType = double><br/>
class std::normal_distribution< _RealType ></h3>
<p>A normal continuous distribution for random numbers. </p>
<p>The formula for the normal probability density function is </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ p(x|\mu,\sigma) = \frac{1}{\sigma \sqrt{2 \pi}} e^{- \frac{{x - \mu}^ {2}}{2 \sigma ^ {2}} } \]" src="form_6.png"/>
</p>
<p>Definition at line <a class="el" href="a01452_source.html#l02085">2085</a> of file <a class="el" href="a01452_source.html">random.h</a>.</p>
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template<typename _RealType = double> </div>
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<td class="memname">typedef _RealType <a class="el" href="a00469.html">std::normal_distribution</a>< _RealType >::<a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a></td>
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<p>The type of the range of the distribution. </p>
<p>Definition at line <a class="el" href="a01452_source.html#l02088">2088</a> of file <a class="el" href="a01452_source.html">random.h</a>.</p>
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<h2 class="groupheader">Constructor & Destructor Documentation</h2>
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template<typename _RealType = double> </div>
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<td class="memname"><a class="el" href="a00469.html">std::normal_distribution</a>< _RealType >::<a class="el" href="a00469.html">normal_distribution</a> </td>
<td>(</td>
<td class="paramtype"><a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a> </td>
<td class="paramname"><em>__mean</em> = <code><a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a>(0)</code>, </td>
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<td class="paramname"><em>__stddev</em> = <code><a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a>(1)</code> </td>
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<td>)</td>
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<p>Constructs a normal distribution with parameters <img class="formulaInl" alt="$mean$" src="form_33.png"/> and standard deviation. </p>
<p>Definition at line <a class="el" href="a01452_source.html#l02130">2130</a> of file <a class="el" href="a01452_source.html">random.h</a>.</p>
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<h2 class="groupheader">Member Function Documentation</h2>
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template<typename _RealType = double> </div>
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<td class="memname"><a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a> <a class="el" href="a00469.html">std::normal_distribution</a>< _RealType >::max </td>
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<p>Returns the least upper bound value of the distribution. </p>
<p>Definition at line <a class="el" href="a01452_source.html#l02187">2187</a> of file <a class="el" href="a01452_source.html">random.h</a>.</p>
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template<typename _RealType = double> </div>
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<p>Returns the mean of the distribution. </p>
<p>Definition at line <a class="el" href="a01452_source.html#l02151">2151</a> of file <a class="el" href="a01452_source.html">random.h</a>.</p>
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template<typename _RealType = double> </div>
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<td class="memname"><a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a> <a class="el" href="a00469.html">std::normal_distribution</a>< _RealType >::min </td>
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<p>Returns the greatest lower bound value of the distribution. </p>
<p>Definition at line <a class="el" href="a01452_source.html#l02180">2180</a> of file <a class="el" href="a01452_source.html">random.h</a>.</p>
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template<typename _RealType = double> </div>
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template<typename _UniformRandomNumberGenerator > </div>
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<td class="memname"><a class="el" href="a00469.html">normal_distribution</a><_RealType>::<a class="el" href="a00469.html#ae45488abda3f5b20d944da2da5a70001">result_type</a> <a class="el" href="a00469.html">std::normal_distribution</a>< _RealType >::operator() </td>
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<p>Polar method due to Marsaglia.</p>
<p>Devroye, L. Non-Uniform Random Variates Generation. Springer-Verlag, New York, 1986, Ch. V, Sect. 4.4. </p>
<p>Definition at line <a class="el" href="a01453_source.html#l01935">1935</a> of file <a class="el" href="a01453_source.html">bits/random.tcc</a>.</p>
<p>References <a class="el" href="a01104_source.html#l00787">std::log()</a>, and <a class="el" href="a01104_source.html#l00896">std::sqrt()</a>.</p>
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<p>Generating functions. </p>
<p>Definition at line <a class="el" href="a01452_source.html#l02195">2195</a> of file <a class="el" href="a01452_source.html">random.h</a>.</p>
<p>Referenced by <a class="el" href="a01452_source.html#l02195">std::normal_distribution< result_type >::operator()()</a>.</p>
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<p>Returns the parameter set of the distribution. </p>
<p>Definition at line <a class="el" href="a01452_source.html#l02165">2165</a> of file <a class="el" href="a01452_source.html">random.h</a>.</p>
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<p>Sets the parameter set of the distribution. </p>
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<p>Definition at line <a class="el" href="a01452_source.html#l02173">2173</a> of file <a class="el" href="a01452_source.html">random.h</a>.</p>
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<p>Resets the distribution state. </p>
<p>Definition at line <a class="el" href="a01452_source.html#l02144">2144</a> of file <a class="el" href="a01452_source.html">random.h</a>.</p>
<p>Referenced by <a class="el" href="a01452_source.html#l02349">std::lognormal_distribution< _RealType >::reset()</a>, <a class="el" href="a01452_source.html#l02568">std::gamma_distribution< result_type >::reset()</a>, <a class="el" href="a01452_source.html#l03398">std::student_t_distribution< _RealType >::reset()</a>, <a class="el" href="a01452_source.html#l03844">std::binomial_distribution< _IntType >::reset()</a>, and <a class="el" href="a01452_source.html#l04488">std::poisson_distribution< _IntType >::reset()</a>.</p>
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<p>Returns the standard deviation of the distribution. </p>
<p>Definition at line <a class="el" href="a01452_source.html#l02158">2158</a> of file <a class="el" href="a01452_source.html">random.h</a>.</p>
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<h2 class="groupheader">Friends And Related Function Documentation</h2>
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<p>Inserts a normal_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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<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 normal distributions have the same parameters and the sequences that would be generated are equal. </p>
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<p>Extracts a normal_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 normal_distribution random number generator engine.</td></tr>
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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="a01452_source.html">random.h</a></li>
<li><a class="el" href="a01453_source.html">bits/random.tcc</a></li>
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