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<a name="boost.random.mersenne_twister"></a><div class="titlepage"></div>
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<h2><span class="refentrytitle">Class template mersenne_twister</span></h2>
<p>boost::random::mersenne_twister</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.mersenne_twister_hpp" title="Header &lt;boost/random/mersenne_twister.hpp&gt;">boost/random/mersenne_twister.hpp</a>&gt;
</span><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> UIntType<span class="special">,</span> <span class="keyword">int</span> w<span class="special">,</span> <span class="keyword">int</span> n<span class="special">,</span> <span class="keyword">int</span> m<span class="special">,</span> <span class="keyword">int</span> r<span class="special">,</span> <span class="identifier">UIntType</span> a<span class="special">,</span> <span class="keyword">int</span> u<span class="special">,</span>
<span class="keyword">int</span> s<span class="special">,</span> <span class="identifier">UIntType</span> b<span class="special">,</span> <span class="keyword">int</span> t<span class="special">,</span> <span class="identifier">UIntType</span> c<span class="special">,</span> <span class="keyword">int</span> l<span class="special">,</span> <span class="identifier">UIntType</span> val<span class="special">&gt;</span>
<span class="keyword">class</span> <a class="link" href="mersenne_twister.html" title="Class template mersenne_twister">mersenne_twister</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">UIntType</span> <a name="boost.random.mersenne_twister.result_type"></a><span class="identifier">result_type</span><span class="special">;</span>
<span class="comment">// <a class="link" href="mersenne_twister.html#boost.random.mersenne_twisterconstruct-copy-destruct">construct/copy/destruct</a></span>
<a class="link" href="mersenne_twister.html#id1146985-bb"><span class="identifier">mersenne_twister</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>
<a class="link" href="mersenne_twister.html#id1146998-bb"><span class="identifier">mersenne_twister</span></a><span class="special">(</span><span class="identifier">UIntType</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> It<span class="special">&gt;</span> <a class="link" href="mersenne_twister.html#id1147016-bb"><span class="identifier">mersenne_twister</span></a><span class="special">(</span><span class="identifier">It</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">It</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> Generator<span class="special">&gt;</span> <a class="link" href="mersenne_twister.html#id1147035-bb"><span class="identifier">mersenne_twister</span></a><span class="special">(</span><span class="identifier">Generator</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
<span class="comment">// <a class="link" href="mersenne_twister.html#id1146866-bb">public member functions</a></span>
<span class="keyword">void</span> <a class="link" href="mersenne_twister.html#id1146870-bb"><span class="identifier">seed</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">void</span> <a class="link" href="mersenne_twister.html#id1146885-bb"><span class="identifier">seed</span></a><span class="special">(</span><span class="identifier">UIntType</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> Generator<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="mersenne_twister.html#id1146908-bb"><span class="identifier">seed</span></a><span class="special">(</span><span class="identifier">Generator</span> <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> It<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="mersenne_twister.html#id1146936-bb"><span class="identifier">seed</span></a><span class="special">(</span><span class="identifier">It</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">It</span><span class="special">)</span><span class="special">;</span>
<span class="identifier">result_type</span> <a class="link" href="mersenne_twister.html#id1146962-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">result_type</span> <a class="link" href="mersenne_twister.html#id1146970-bb"><span class="identifier">max</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
<span class="identifier">result_type</span> <a class="link" href="mersenne_twister.html#id1146978-bb"><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>
<span class="comment">// <a class="link" href="mersenne_twister.html#id1147065-bb">public static functions</a></span>
<span class="keyword">static</span> <span class="keyword">bool</span> <a class="link" href="mersenne_twister.html#id1147068-bb"><span class="identifier">validation</span></a><span class="special">(</span><span class="identifier">result_type</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">int</span> word_size<span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">int</span> state_size<span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">int</span> shift_size<span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">int</span> mask_bits<span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">UIntType</span> parameter_a<span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">int</span> output_u<span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">int</span> output_s<span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">UIntType</span> output_b<span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">int</span> output_t<span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">UIntType</span> output_c<span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">int</span> output_l<span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">bool</span> has_fixed_range<span class="special">;</span>
<span class="special">}</span><span class="special">;</span></pre></div>
<div class="refsect1">
<a name="id2499403"></a><h2>Description</h2>
<p>Instantiations of class template mersenne_twister model a <a class="link" href="../../boost_random/reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">pseudo-random number generator</a> . It uses the algorithm described in</p>
<p> </p>
<div class="blockquote"><blockquote class="blockquote"><p> "Mersenne Twister: A 623-dimensionally equidistributed uniform pseudo-random number generator", Makoto Matsumoto and Takuji Nishimura, ACM Transactions on Modeling and Computer Simulation: Special Issue on Uniform Random Number Generation, Vol. 8, No. 1, January 1998, pp. 3-30. </p></blockquote></div>
<p> </p>
<p> </p>
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../doc/src/images/note.png"></td>
<th align="left">Note</th>
</tr>
<tr><td align="left" valign="top"><p> The boost variant has been implemented from scratch and does not derive from or use mt19937.c provided on the above WWW site. However, it was verified that both produce identical output. </p></td></tr>
</table></div>
<p> </p>
<p>The seeding from an integer was changed in April 2005 to address a <a href="http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MT2002/emt19937ar.html" target="_top">weakness</a>.</p>
<p>The quality of the generator crucially depends on the choice of the parameters. User code should employ one of the sensibly parameterized generators such as <a class="link" href="../mt19937.html" title="Type definition mt19937">mt19937</a> instead.</p>
<p>The generator requires considerable amounts of memory for the storage of its state array. For example, <a class="link" href="../mt11213b.html" title="Type definition mt11213b">mt11213b</a> requires about 1408 bytes and <a class="link" href="../mt19937.html" title="Type definition mt19937">mt19937</a> requires about 2496 bytes. </p>
<div class="refsect2">
<a name="id2499480"></a><h3>
<a name="boost.random.mersenne_twisterconstruct-copy-destruct"></a><code class="computeroutput">mersenne_twister</code>
public
construct/copy/destruct</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<pre class="literallayout"><a name="id1146985-bb"></a><span class="identifier">mersenne_twister</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>
<p>Constructs a <code class="computeroutput">mersenne_twister</code> and calls <code class="computeroutput">seed()</code>. </p>
</li>
<li class="listitem">
<pre class="literallayout"><a name="id1146998-bb"></a><span class="identifier">mersenne_twister</span><span class="special">(</span><span class="identifier">UIntType</span> value<span class="special">)</span><span class="special">;</span></pre>
<p>Constructs a <code class="computeroutput">mersenne_twister</code> and calls <code class="computeroutput">seed(value)</code>. </p>
</li>
<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> It<span class="special">&gt;</span> <a name="id1147016-bb"></a><span class="identifier">mersenne_twister</span><span class="special">(</span><span class="identifier">It</span> <span class="special">&amp;</span> first<span class="special">,</span> <span class="identifier">It</span> last<span class="special">)</span><span class="special">;</span></pre></li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> Generator<span class="special">&gt;</span> <a name="id1147035-bb"></a><span class="identifier">mersenne_twister</span><span class="special">(</span><span class="identifier">Generator</span> <span class="special">&amp;</span> gen<span class="special">)</span><span class="special">;</span></pre>
<p>Constructs a mersenne_twister and calls <code class="computeroutput">seed(gen)</code>.</p>
<p> </p>
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../doc/src/images/note.png"></td>
<th align="left">Note</th>
</tr>
<tr><td align="left" valign="top"><p> The copy constructor will always be preferred over the templated constructor. </p></td></tr>
</table></div>
<p> </p>
</li>
</ol></div>
</div>
<div class="refsect2">
<a name="id2499742"></a><h3>
<a name="id1146866-bb"></a><code class="computeroutput">mersenne_twister</code> public member functions</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="id1146870-bb"></a><span class="identifier">seed</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>
<p>Calls <code class="computeroutput">seed</code>(result_type(5489)). </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="id1146885-bb"></a><span class="identifier">seed</span><span class="special">(</span><span class="identifier">UIntType</span> value<span class="special">)</span><span class="special">;</span></pre>
<p>Sets the state x(0) to v mod 2w. Then, iteratively, sets x(i) to (i + 1812433253 * (x(i-1) xor (x(i-1) rshift w-2))) mod 2<sup>w</sup> for i = 1 .. n-1. x(n) is the first value to be returned by operator(). </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> Generator<span class="special">&gt;</span> <span class="keyword">void</span> <a name="id1146908-bb"></a><span class="identifier">seed</span><span class="special">(</span><span class="identifier">Generator</span> <span class="special">&amp;</span> gen<span class="special">)</span><span class="special">;</span></pre>
<p>Sets the state of this mersenne_twister to the values returned by n invocations of gen.</p>
<p>Complexity: Exactly n invocations of gen. </p>
</li>
<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> It<span class="special">&gt;</span> <span class="keyword">void</span> <a name="id1146936-bb"></a><span class="identifier">seed</span><span class="special">(</span><span class="identifier">It</span> <span class="special">&amp;</span> first<span class="special">,</span> <span class="identifier">It</span> last<span class="special">)</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="identifier">result_type</span> <a name="id1146962-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></li>
<li class="listitem"><pre class="literallayout"><span class="identifier">result_type</span> <a name="id1146970-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></li>
<li class="listitem"><pre class="literallayout"><span class="identifier">result_type</span> <a name="id1146978-bb"></a><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre></li>
</ol></div>
</div>
<div class="refsect2">
<a name="id2500126"></a><h3>
<a name="id1147065-bb"></a><code class="computeroutput">mersenne_twister</code> public static functions</h3>
<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><span class="keyword">static</span> <span class="keyword">bool</span> <a name="id1147068-bb"></a><span class="identifier">validation</span><span class="special">(</span><span class="identifier">result_type</span> v<span class="special">)</span><span class="special">;</span></pre></li></ol></div>
</div>
</div>
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<td align="right"><div class="copyright-footer">Copyright &#169; 2000 -2005 Jens Maurer, 2009 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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