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<title>Class template normal_distribution</title>
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<div class="refentry">
<a name="boost.random.normal_distribution"></a><div class="titlepage"></div>
<div class="refnamediv">
<h2><span class="refentrytitle">Class template normal_distribution</span></h2>
<p>boost::random::normal_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.normal_distribution_hpp" title="Header <boost/random/normal_distribution.hpp>">boost/random/normal_distribution.hpp</a>>
</span><span class="keyword">template</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="normal_distribution.html" title="Class template normal_distribution">normal_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">RealType</span> <a name="boost.random.normal_distribution.input_type"></a><span class="identifier">input_type</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">RealType</span> <a name="boost.random.normal_distribution.result_type"></a><span class="identifier">result_type</span><span class="special">;</span>
<span class="comment">// member classes/structs/unions</span>
<span class="keyword">class</span> <a class="link" href="normal_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="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a> <a class="link" href="normal_distribution/param_type.html#boost.random.normal_distribution.param_type.distribution_type"><span class="identifier">distribution_type</span></a><span class="special">;</span>
<span class="comment">// <a class="link" href="normal_distribution/param_type.html#boost.random.normal_distribution.param_typeconstruct-copy-destruct">construct/copy/destruct</a></span>
<span class="keyword">explicit</span> <a class="link" href="normal_distribution/param_type.html#idp60133288-bb"><span class="identifier">param_type</span></a><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">0</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="number">1</span><span class="special">.</span><span class="number">0</span><span class="special">)</span><span class="special">;</span>
<span class="comment">// <a class="link" href="normal_distribution/param_type.html#idp60131656-bb">public member functions</a></span>
<span class="identifier">RealType</span> <a class="link" href="normal_distribution/param_type.html#idp60131864-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">RealType</span> <a class="link" href="normal_distribution/param_type.html#idp60132568-bb"><span class="identifier">sigma</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="normal_distribution/param_type.html#idp60135288-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="normal_distribution/param_type.html#idp60135496-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="normal_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="normal_distribution/param_type.html#idp60143256-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> <span class="keyword">const</span> <a class="link" href="normal_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="normal_distribution/param_type.html#idp60146248-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="normal_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="normal_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="normal_distribution/param_type.html#idp60148120-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="normal_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="normal_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="normal_distribution.html#boost.random.normal_distributionconstruct-copy-destruct">construct/copy/destruct</a></span>
<span class="keyword">explicit</span> <a class="link" href="normal_distribution.html#idp60195912-bb"><span class="identifier">normal_distribution</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">RealType</span> <span class="special">&</span> <span class="special">=</span> <span class="number">0</span><span class="special">.</span><span class="number">0</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span> <span class="special">&</span> <span class="special">=</span> <span class="number">1</span><span class="special">.</span><span class="number">0</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">explicit</span> <a class="link" href="normal_distribution.html#idp60166136-bb"><span class="identifier">normal_distribution</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="normal_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="normal_distribution.html#idp60150632-bb">public member functions</a></span>
<span class="identifier">RealType</span> <a class="link" href="normal_distribution.html#idp60150840-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">RealType</span> <a class="link" href="normal_distribution.html#idp60139672-bb"><span class="identifier">sigma</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="normal_distribution.html#idp60140392-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">RealType</span> <a class="link" href="normal_distribution.html#idp60141112-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="normal_distribution/param_type.html" title="Class param_type">param_type</a> <a class="link" href="normal_distribution.html#idp60139416-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="normal_distribution.html#idp60190872-bb"><span class="identifier">param</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="normal_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="normal_distribution.html#idp60104216-bb"><span class="identifier">reset</span></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> Engine<span class="special">></span> <span class="identifier">result_type</span> <a class="link" href="normal_distribution.html#idp60192248-bb"><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span></a><span class="special">(</span><span class="identifier">Engine</span> <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> URNG<span class="special">></span> <span class="identifier">result_type</span> <a class="link" href="normal_distribution.html#idp60193656-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="normal_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="normal_distribution.html#idp60167576-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="normal_distribution.html#idp60167784-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="normal_distribution.html" title="Class template normal_distribution">normal_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="normal_distribution.html#idp60170808-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>
<span class="keyword">const</span> <a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_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="normal_distribution.html#idp60173832-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a> <span class="special">&</span><span class="special">,</span>
<span class="keyword">const</span> <a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_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="normal_distribution.html#idp60176216-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a> <span class="special">&</span><span class="special">,</span>
<span class="keyword">const</span> <a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_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="idp195854264"></a><h2>Description</h2>
<p>Instantiations of class template <a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a> model a <a class="link" href="../../boost_random/reference.html#boost_random.reference.concepts.random_distribution" title="Random Distribution">random distribution</a> . Such a distribution produces random numbers <code class="computeroutput">x</code> distributed with probability density function <span class="inlinemediaobject"><img src="../../images/random//form_16.png"></span>, where mean and sigma are the parameters of the distribution. </p>
<div class="refsect2">
<a name="idp195857464"></a><h3>
<a name="boost.random.normal_distributionconstruct-copy-destruct"></a><code class="computeroutput">normal_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="idp60195912-bb"></a><span class="identifier">normal_distribution</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">RealType</span> <span class="special">&</span> mean <span class="special">=</span> <span class="number">0</span><span class="special">.</span><span class="number">0</span><span class="special">,</span>
<span class="keyword">const</span> <span class="identifier">RealType</span> <span class="special">&</span> sigma <span class="special">=</span> <span class="number">1</span><span class="special">.</span><span class="number">0</span><span class="special">)</span><span class="special">;</span></pre>
<p>Constructs a <code class="computeroutput"><code class="computeroutput"><a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a></code></code> object. <code class="computeroutput">mean</code> and <code class="computeroutput">sigma</code> are the parameters for the distribution.</p>
<p>Requires: sigma >= 0 </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">explicit</span> <a name="idp60166136-bb"></a><span class="identifier">normal_distribution</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="normal_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>Constructs a <code class="computeroutput"><code class="computeroutput"><a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a></code></code> object from its parameters. </p>
</li>
</ol></div>
</div>
<div class="refsect2">
<a name="idp195871592"></a><h3>
<a name="idp60150632-bb"></a><code class="computeroutput">normal_distribution</code> public member functions</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<pre class="literallayout"><span class="identifier">RealType</span> <a name="idp60150840-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 of the distribution. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">RealType</span> <a name="idp60139672-bb"></a><span class="identifier">sigma</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
<p>Returns the standard deviation of the distribution. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">RealType</span> <a name="idp60140392-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">RealType</span> <a name="idp60141112-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="normal_distribution/param_type.html" title="Class param_type">param_type</a> <a name="idp60139416-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="idp60190872-bb"></a><span class="identifier">param</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="normal_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 the parameters of the distribution. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="idp60104216-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>
<li class="listitem">
<pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Engine<span class="special">></span> <span class="identifier">result_type</span> <a name="idp60192248-bb"></a><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span><span class="special">(</span><span class="identifier">Engine</span> <span class="special">&</span> eng<span class="special">)</span><span class="special">;</span></pre>
<p>Returns a normal variate. </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">result_type</span> <a name="idp60193656-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="normal_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>Returns a normal variate with parameters specified by <code class="computeroutput">param</code>. </p>
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<a name="idp195902600"></a><h3>
<a name="idp60167576-bb"></a><code class="computeroutput">normal_distribution</code> friend functions</h3>
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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_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="idp60167784-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="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a> <span class="special">&</span> nd<span class="special">)</span><span class="special">;</span></pre>
<p>Writes a <code class="computeroutput"><code class="computeroutput"><a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a></code></code> 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="idp60170808-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>
<span class="keyword">const</span> <a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a> <span class="special">&</span> nd<span class="special">)</span><span class="special">;</span></pre>
<p>Reads a <code class="computeroutput"><code class="computeroutput"><a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a></code></code> 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="idp60173832-bb"></a><span class="keyword">operator</span><span class="special">==</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a> <span class="special">&</span> lhs<span class="special">,</span>
<span class="keyword">const</span> <a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a> <span class="special">&</span> rhs<span class="special">)</span><span class="special">;</span></pre>
<p>Returns true if the two instances of <code class="computeroutput"><code class="computeroutput"><a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a></code></code> will return identical sequences of values given equal generators. </p>
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<pre class="literallayout"><span class="keyword">friend</span> <span class="keyword">bool</span> <a name="idp60176216-bb"></a><span class="keyword">operator</span><span class="special">!=</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a> <span class="special">&</span> lhs<span class="special">,</span>
<span class="keyword">const</span> <a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a> <span class="special">&</span> rhs<span class="special">)</span><span class="special">;</span></pre>
<p>Returns true if the two instances of <code class="computeroutput"><code class="computeroutput"><a class="link" href="normal_distribution.html" title="Class template normal_distribution">normal_distribution</a></code></code> will return different sequences of values given equal generators. </p>
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</ol></div>
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