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<title>Class template lagged_fibonacci_01_engine</title>
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<a name="boost.random.lagged_fibonacci_01_engine"></a><div class="titlepage"></div>
<div class="refnamediv">
<h2><span class="refentrytitle">Class template lagged_fibonacci_01_engine</span></h2>
<p>boost::random::lagged_fibonacci_01_engine</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.lagged_fibonacci_hpp" title="Header <boost/random/lagged_fibonacci.hpp>">boost/random/lagged_fibonacci.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">int</span> w<span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> p<span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> q<span class="special">></span>
<span class="keyword">class</span> <a class="link" href="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</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.lagged_fibonacci_01_engine.result_type"></a><span class="identifier">result_type</span><span class="special">;</span>
<span class="comment">// <a class="link" href="lagged_fibonacci_01_engine.html#boost.random.lagged_fibonacci_01_engineconstruct-copy-destruct">construct/copy/destruct</a></span>
<a class="link" href="lagged_fibonacci_01_engine.html#idp59709272-bb"><span class="identifier">lagged_fibonacci_01_engine</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">explicit</span> <a class="link" href="lagged_fibonacci_01_engine.html#idp59710024-bb"><span class="identifier">lagged_fibonacci_01_engine</span></a><span class="special">(</span><span class="identifier">uint32_t</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> SeedSeq<span class="special">></span> <span class="keyword">explicit</span> <a class="link" href="lagged_fibonacci_01_engine.html#idp59711240-bb"><span class="identifier">lagged_fibonacci_01_engine</span></a><span class="special">(</span><span class="identifier">SeedSeq</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> It<span class="special">></span> <a class="link" href="lagged_fibonacci_01_engine.html#idp59834168-bb"><span class="identifier">lagged_fibonacci_01_engine</span></a><span class="special">(</span><span class="identifier">It</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">It</span><span class="special">)</span><span class="special">;</span>
<span class="comment">// <a class="link" href="lagged_fibonacci_01_engine.html#idp59697912-bb">public member functions</a></span>
<span class="keyword">void</span> <a class="link" href="lagged_fibonacci_01_engine.html#idp59698120-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="lagged_fibonacci_01_engine.html#idp59698808-bb"><span class="identifier">seed</span></a><span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">uint32_t</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> SeedSeq<span class="special">></span> <span class="keyword">void</span> <a class="link" href="lagged_fibonacci_01_engine.html#idp59700808-bb"><span class="identifier">seed</span></a><span class="special">(</span><span class="identifier">SeedSeq</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> It<span class="special">></span> <span class="keyword">void</span> <a class="link" href="lagged_fibonacci_01_engine.html#idp59702936-bb"><span class="identifier">seed</span></a><span class="special">(</span><span class="identifier">It</span> <span class="special">&</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="lagged_fibonacci_01_engine.html#idp59705496-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="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Iter<span class="special">></span> <span class="keyword">void</span> <a class="link" href="lagged_fibonacci_01_engine.html#idp59706200-bb"><span class="identifier">generate</span></a><span class="special">(</span><span class="identifier">Iter</span><span class="special">,</span> <span class="identifier">Iter</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">void</span> <a class="link" href="lagged_fibonacci_01_engine.html#idp59707992-bb"><span class="identifier">discard</span></a><span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">)</span><span class="special">;</span>
<span class="comment">// <a class="link" href="lagged_fibonacci_01_engine.html#idp59835320-bb">public static functions</a></span>
<span class="keyword">static</span> <span class="identifier">result_type</span> <a class="link" href="lagged_fibonacci_01_engine.html#idp59835528-bb"><span class="identifier">min</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>
<span class="keyword">static</span> <span class="identifier">result_type</span> <a class="link" href="lagged_fibonacci_01_engine.html#idp59836264-bb"><span class="identifier">max</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>
<span class="comment">// <a class="link" href="lagged_fibonacci_01_engine.html#idp59837000-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="lagged_fibonacci_01_engine.html#idp59837208-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="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</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="lagged_fibonacci_01_engine.html#idp59839816-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="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</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="lagged_fibonacci_01_engine.html#idp59842424-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a> <span class="special">&</span><span class="special">,</span>
<span class="keyword">const</span> <a class="link" href="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</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="lagged_fibonacci_01_engine.html#idp59844328-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a> <span class="special">&</span><span class="special">,</span>
<span class="keyword">const</span> <a class="link" href="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
<span class="comment">// public data members</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">bool</span> <span class="identifier">has_fixed_range</span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">int</span> <span class="identifier">word_size</span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> <span class="identifier">long_lag</span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> <span class="identifier">short_lag</span><span class="special">;</span>
<span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">uint32_t</span> <span class="identifier">default_seed</span><span class="special">;</span>
<span class="special">}</span><span class="special">;</span></pre></div>
<div class="refsect1">
<a name="idp194046888"></a><h2>Description</h2>
<p>Instantiations of class template <code class="computeroutput">lagged_fibonacci_01</code> 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 a lagged Fibonacci algorithm with two lags <code class="computeroutput">p</code> and <code class="computeroutput">q</code>, evaluated in floating-point arithmetic: x(i) = x(i-p) + x(i-q) (mod 1) with p > q. See</p>
<p> </p>
<div class="blockquote"><blockquote class="blockquote"><p> "Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706. </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 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="lagged_fibonacci607.html" title="Type definition lagged_fibonacci607">lagged_fibonacci607</a> instead. </p></td></tr>
</table></div>
<p> </p>
<p>The generator requires considerable amounts of memory for the storage of its state array. For example, <a class="link" href="lagged_fibonacci607.html" title="Type definition lagged_fibonacci607">lagged_fibonacci607</a> requires about 4856 bytes and <a class="link" href="lagged_fibonacci44497.html" title="Type definition lagged_fibonacci44497">lagged_fibonacci44497</a> requires about 350 KBytes. </p>
<div class="refsect2">
<a name="idp194051976"></a><h3>
<a name="boost.random.lagged_fibonacci_01_engineconstruct-copy-destruct"></a><code class="computeroutput">lagged_fibonacci_01_engine</code>
public
construct/copy/destruct</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<pre class="literallayout"><a name="idp59709272-bb"></a><span class="identifier">lagged_fibonacci_01_engine</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>
<p>Constructs a <code class="computeroutput">lagged_fibonacci_01</code> generator and calls <code class="computeroutput">seed()</code>. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">explicit</span> <a name="idp59710024-bb"></a><span class="identifier">lagged_fibonacci_01_engine</span><span class="special">(</span><span class="identifier">uint32_t</span> value<span class="special">)</span><span class="special">;</span></pre>
<p>Constructs a <code class="computeroutput">lagged_fibonacci_01</code> generator and calls <code class="computeroutput">seed(value)</code>. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> SeedSeq<span class="special">></span> <span class="keyword">explicit</span> <a name="idp59711240-bb"></a><span class="identifier">lagged_fibonacci_01_engine</span><span class="special">(</span><span class="identifier">SeedSeq</span> <span class="special">&</span> seq<span class="special">)</span><span class="special">;</span></pre>
<p>Constructs a <code class="computeroutput">lagged_fibonacci_01</code> generator and calls <code class="computeroutput">seed(gen)</code>. </p>
</li>
<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> It<span class="special">></span> <a name="idp59834168-bb"></a><span class="identifier">lagged_fibonacci_01_engine</span><span class="special">(</span><span class="identifier">It</span> <span class="special">&</span> first<span class="special">,</span> <span class="identifier">It</span> last<span class="special">)</span><span class="special">;</span></pre></li>
</ol></div>
</div>
<div class="refsect2">
<a name="idp194068264"></a><h3>
<a name="idp59697912-bb"></a><code class="computeroutput">lagged_fibonacci_01_engine</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="idp59698120-bb"></a><span class="identifier">seed</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>
<p>Calls seed(default_seed). </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="idp59698808-bb"></a><span class="identifier">seed</span><span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">uint32_t</span> value<span class="special">)</span><span class="special">;</span></pre>
<p>Constructs a <code class="computeroutput"><a class="link" href="minstd_rand0.html" title="Type definition minstd_rand0">minstd_rand0</a></code> generator with the constructor parameter value and calls seed with it. Distinct seeds in the range [1, 2147483647) will produce generators with different states. Other seeds will be equivalent to some seed within this range. See <code class="computeroutput"><a class="link" href="linear_congruential_engine.html" title="Class template linear_congruential_engine">linear_congruential_engine</a></code> for details. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> SeedSeq<span class="special">></span> <span class="keyword">void</span> <a name="idp59700808-bb"></a><span class="identifier">seed</span><span class="special">(</span><span class="identifier">SeedSeq</span> <span class="special">&</span> seq<span class="special">)</span><span class="special">;</span></pre>
<p>Seeds this <code class="computeroutput"><code class="computeroutput"><a class="link" href="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a></code></code> using values produced by <code class="computeroutput">seq.generate</code>. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> It<span class="special">></span> <span class="keyword">void</span> <a name="idp59702936-bb"></a><span class="identifier">seed</span><span class="special">(</span><span class="identifier">It</span> <span class="special">&</span> first<span class="special">,</span> <span class="identifier">It</span> last<span class="special">)</span><span class="special">;</span></pre>
<p>Seeds this <code class="computeroutput"><code class="computeroutput"><a class="link" href="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a></code></code> using values from the iterator range [first, last). If there are not enough elements in the range, throws <code class="computeroutput">std::invalid_argument</code>. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">result_type</span> <a name="idp59705496-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>
<p>Returns the next value of the generator. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Iter<span class="special">></span> <span class="keyword">void</span> <a name="idp59706200-bb"></a><span class="identifier">generate</span><span class="special">(</span><span class="identifier">Iter</span> first<span class="special">,</span> <span class="identifier">Iter</span> last<span class="special">)</span><span class="special">;</span></pre>
<p>Fills a range with random values </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="idp59707992-bb"></a><span class="identifier">discard</span><span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span> z<span class="special">)</span><span class="special">;</span></pre>
<p>Advances the state of the generator by <code class="computeroutput">z</code>. </p>
</li>
</ol></div>
</div>
<div class="refsect2">
<a name="idp194098408"></a><h3>
<a name="idp59835320-bb"></a><code class="computeroutput">lagged_fibonacci_01_engine</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="identifier">result_type</span> <a name="idp59835528-bb"></a><span class="identifier">min</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>
<p>Returns the smallest value that the generator can produce. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">static</span> <span class="identifier">result_type</span> <a name="idp59836264-bb"></a><span class="identifier">max</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>
<p>Returns the upper bound of the generators outputs. </p>
</li>
</ol></div>
</div>
<div class="refsect2">
<a name="idp194104664"></a><h3>
<a name="idp59837000-bb"></a><code class="computeroutput">lagged_fibonacci_01_engine</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="idp59837208-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="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a> <span class="special">&</span> f<span class="special">)</span><span class="special">;</span></pre>
<p>Writes the textual representation of the generator to a <code class="computeroutput">std::ostream</code>. </p>
</li>
<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_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="idp59839816-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="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a> <span class="special">&</span> f<span class="special">)</span><span class="special">;</span></pre>
<p>Reads the textual representation of the generator from a <code class="computeroutput">std::istream</code>. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">friend</span> <span class="keyword">bool</span> <a name="idp59842424-bb"></a><span class="keyword">operator</span><span class="special">==</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a> <span class="special">&</span> x<span class="special">,</span>
<span class="keyword">const</span> <a class="link" href="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a> <span class="special">&</span> y<span class="special">)</span><span class="special">;</span></pre>
<p>Returns true if the two generators will produce identical sequences of outputs. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">friend</span> <span class="keyword">bool</span> <a name="idp59844328-bb"></a><span class="keyword">operator</span><span class="special">!=</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a> <span class="special">&</span> lhs<span class="special">,</span>
<span class="keyword">const</span> <a class="link" href="lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a> <span class="special">&</span> rhs<span class="special">)</span><span class="special">;</span></pre>
<p>Returns true if the two generators will produce different sequences of outputs. </p>
</li>
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