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<div class="title">Random Number Generators<div class="ingroups"><a class="el" href="a01476.html">Numerics</a> &raquo; <a class="el" href="a01494.html">Random Number Generation</a></div></div>  </div>
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Collaboration diagram for Random Number Generators:</div>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a06283.html">std::discard_block_engine&lt; _RandomNumberEngine, __p, __r &gt;</a></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a06287.html">std::independent_bits_engine&lt; _RandomNumberEngine, __w, _UIntType &gt;</a></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a06271.html">std::linear_congruential_engine&lt; _UIntType, __a, __c, __m &gt;</a></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a06275.html">std::mersenne_twister_engine&lt; _UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f &gt;</a></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a06291.html">std::shuffle_order_engine&lt; _RandomNumberEngine, __k &gt;</a></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a06279.html">std::subtract_with_carry_engine&lt; _UIntType, __w, __s, __r &gt;</a></td></tr>
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<tr class="memitem:ga06944ee85abb11c4d8332728514da20a"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="a06271.html">linear_congruential_engine</a>&lt; uint_fast32_t, 48271UL, 0UL, 2147483647UL &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a01534.html#ga06944ee85abb11c4d8332728514da20a">std::minstd_rand</a></td></tr>
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<tr class="memitem:ga70e14a580880f05e94a51c6e103e1cd1"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="a06271.html">linear_congruential_engine</a>&lt; uint_fast32_t, 16807UL, 0UL, 2147483647UL &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a01534.html#ga70e14a580880f05e94a51c6e103e1cd1">std::minstd_rand0</a></td></tr>
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<tr class="memitem:ga887bdc65ea12ca4f83aa79f5bd9fce03"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="a06275.html">mersenne_twister_engine</a>&lt; uint_fast32_t, 32, 624, 397, 31, 0x9908b0dfUL, 11, 0xffffffffUL, 7, 0x9d2c5680UL, 15, 0xefc60000UL, 18, 1812433253UL &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a01534.html#ga887bdc65ea12ca4f83aa79f5bd9fce03">std::mt19937</a></td></tr>
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<tr class="memitem:ga9606c7ecfbdedbd7ee5d8b908f4e2275"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="a06275.html">mersenne_twister_engine</a>&lt; uint_fast64_t, 64, 312, 156, 31, 0xb5026f5aa96619e9ULL, 29, 0x5555555555555555ULL, 17, 0x71d67fffeda60000ULL, 37, 0xfff7eee000000000ULL, 43, 6364136223846793005ULL &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a01534.html#ga9606c7ecfbdedbd7ee5d8b908f4e2275">std::mt19937_64</a></td></tr>
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typedef <a class="el" href="a06283.html">discard_block_engine</a>&lt; <a class="el" href="a06279.html">ranlux24_base</a>, 223, 23 &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>std::ranlux24</b></td></tr>
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typedef <a class="el" href="a06283.html">discard_block_engine</a>&lt; <a class="el" href="a06279.html">ranlux48_base</a>, 389, 11 &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>std::ranlux48</b></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:gafb9c9578afd0299fc357581cb848f2fd"><td class="memTemplParams" colspan="2">template&lt;typename _UIntType , _UIntType __a, _UIntType __c, _UIntType __m&gt; </td></tr>
<tr class="memitem:gafb9c9578afd0299fc357581cb848f2fd"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a01534.html#gafb9c9578afd0299fc357581cb848f2fd">std::operator!=</a> (const <a class="el" href="a06271.html">std::linear_congruential_engine</a>&lt; _UIntType, __a, __c, __m &gt; &amp;__lhs, const <a class="el" href="a06271.html">std::linear_congruential_engine</a>&lt; _UIntType, __a, __c, __m &gt; &amp;__rhs)</td></tr>
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<tr class="memitem:ga223f7056b37b325f9d70eda843982dff"><td class="memTemplParams" colspan="2">template&lt;typename _RandomNumberEngine , size_t __p, size_t __r&gt; </td></tr>
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<tr class="memitem:ga8ad332f998832aa3bbf426abf441c34a"><td class="memTemplParams" colspan="2">template&lt;typename _RandomNumberEngine , size_t __w, typename _UIntType &gt; </td></tr>
<tr class="memitem:ga8ad332f998832aa3bbf426abf441c34a"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a01534.html#ga8ad332f998832aa3bbf426abf441c34a">std::operator!=</a> (const <a class="el" href="a06287.html">std::independent_bits_engine</a>&lt; _RandomNumberEngine, __w, _UIntType &gt; &amp;__lhs, const <a class="el" href="a06287.html">std::independent_bits_engine</a>&lt; _RandomNumberEngine, __w, _UIntType &gt; &amp;__rhs)</td></tr>
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<tr class="memitem:ga47c5a5d9835e00a60a76f4be7ea0f671"><td class="memTemplParams" colspan="2">template&lt;typename _RandomNumberEngine , size_t __k&gt; </td></tr>
<tr class="memitem:ga47c5a5d9835e00a60a76f4be7ea0f671"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a01534.html#ga47c5a5d9835e00a60a76f4be7ea0f671">std::operator!=</a> (const <a class="el" href="a06291.html">std::shuffle_order_engine</a>&lt; _RandomNumberEngine, __k &gt; &amp;__lhs, const <a class="el" href="a06291.html">std::shuffle_order_engine</a>&lt; _RandomNumberEngine, __k &gt; &amp;__rhs)</td></tr>
<tr class="separator:ga47c5a5d9835e00a60a76f4be7ea0f671"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga1e56f8bee410b0ebf924661d35faf834"><td class="memTemplParams" colspan="2">template&lt;typename _RandomNumberEngine , size_t __w, typename _UIntType , typename _CharT , typename _Traits &gt; </td></tr>
<tr class="memitem:ga1e56f8bee410b0ebf924661d35faf834"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="a02463.html">std::basic_ostream</a>&lt; _CharT, _Traits &gt; &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a01534.html#ga1e56f8bee410b0ebf924661d35faf834">std::operator&lt;&lt;</a> (<a class="el" href="a02463.html">std::basic_ostream</a>&lt; _CharT, _Traits &gt; &amp;__os, const <a class="el" href="a06287.html">std::independent_bits_engine</a>&lt; _RandomNumberEngine, __w, _UIntType &gt; &amp;__x)</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<p>These classes define objects which provide random or pseudorandom numbers, either from a discrete or a continuous interval. The random number generator supplied as a part of this library are all uniform random number generators which provide a sequence of random number uniformly distributed over their range.</p>
<p>A number generator is a function object with an operator() that takes zero arguments and returns a number.</p>
<p>A compliant random number generator must satisfy the following requirements. </p><a class="anchor" id=""></a>
<table border="1" cellpadding="10" cellspacing="0">
<caption align="top">Random Number Generator Requirements</caption>
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<td>To be documented. </td></tr>
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<h2 class="groupheader">Typedef Documentation</h2>
<a id="ga06944ee85abb11c4d8332728514da20a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ga06944ee85abb11c4d8332728514da20a">&#9670;&nbsp;</a></span>minstd_rand</h2>

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          <td class="memname">typedef <a class="el" href="a06271.html">linear_congruential_engine</a>&lt;uint_fast32_t, 48271UL, 0UL, 2147483647UL&gt; std::minstd_rand</td>
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<p>An alternative LCR (Lehmer Generator function). </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l01512">1512</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="#ga70e14a580880f05e94a51c6e103e1cd1">&#9670;&nbsp;</a></span>minstd_rand0</h2>

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          <td class="memname">typedef <a class="el" href="a06271.html">linear_congruential_engine</a>&lt;uint_fast32_t, 16807UL, 0UL, 2147483647UL&gt; std::minstd_rand0</td>
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<p>The classic Minimum Standard rand0 of Lewis, Goodman, and Miller. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l01506">1506</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="#ga887bdc65ea12ca4f83aa79f5bd9fce03">&#9670;&nbsp;</a></span>mt19937</h2>

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          <td class="memname">typedef <a class="el" href="a06275.html">mersenne_twister_engine</a>&lt; uint_fast32_t, 32, 624, 397, 31, 0x9908b0dfUL, 11, 0xffffffffUL, 7, 0x9d2c5680UL, 15, 0xefc60000UL, 18, 1812433253UL&gt; std::mt19937</td>
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<p>The classic Mersenne Twister.</p>
<p>Reference: M. Matsumoto and T. Nishimura, Mersenne Twister: A 623-Dimensionally Equidistributed Uniform Pseudo-Random Number Generator, ACM Transactions on Modeling and Computer Simulation, Vol. 8, No. 1, January 1998, pp 3-30. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l01528">1528</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="#ga9606c7ecfbdedbd7ee5d8b908f4e2275">&#9670;&nbsp;</a></span>mt19937_64</h2>

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          <td class="memname">typedef <a class="el" href="a06275.html">mersenne_twister_engine</a>&lt; uint_fast64_t, 64, 312, 156, 31, 0xb5026f5aa96619e9ULL, 29, 0x5555555555555555ULL, 17, 0x71d67fffeda60000ULL, 37, 0xfff7eee000000000ULL, 43, 6364136223846793005ULL&gt; std::mt19937_64</td>
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<p>An alternative Mersenne Twister. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l01540">1540</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<h2 class="groupheader">Function Documentation</h2>
<a id="gafb9c9578afd0299fc357581cb848f2fd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#gafb9c9578afd0299fc357581cb848f2fd">&#9670;&nbsp;</a></span>operator!=() <span class="overload">[1/6]</span></h2>

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<div class="memtemplate">
template&lt;typename _UIntType , _UIntType __a, _UIntType __c, _UIntType __m&gt; </div>
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          <td class="memname">bool std::operator!= </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="a06271.html">std::linear_congruential_engine</a>&lt; _UIntType, __a, __c, __m &gt; &amp;&#160;</td>
          <td class="paramname"><em>__lhs</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="a06271.html">std::linear_congruential_engine</a>&lt; _UIntType, __a, __c, __m &gt; &amp;&#160;</td>
          <td class="paramname"><em>__rhs</em>&#160;</td>
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<p>Compares two linear congruential random number generator objects of the same type for inequality. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__lhs</td><td>A linear congruential random number generator object. </td></tr>
    <tr><td class="paramname">__rhs</td><td>Another linear congruential random number generator object.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>true if the infinite sequences of generated values would be different, false otherwise. </dd></dl>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l00397">397</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<a id="ga08598cac266ed03507603ca6d6c27ce2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ga08598cac266ed03507603ca6d6c27ce2">&#9670;&nbsp;</a></span>operator!=() <span class="overload">[2/6]</span></h2>

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template&lt;typename _UIntType , size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f&gt; </div>
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          <td class="memname">bool std::operator!= </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="a06275.html">std::mersenne_twister_engine</a>&lt; _UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f &gt; &amp;&#160;</td>
          <td class="paramname"><em>__lhs</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="a06275.html">std::mersenne_twister_engine</a>&lt; _UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f &gt; &amp;&#160;</td>
          <td class="paramname"><em>__rhs</em>&#160;</td>
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          <td>)</td>
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<p>Compares two % mersenne_twister_engine random number generator objects of the same type for inequality. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__lhs</td><td>A % mersenne_twister_engine random number generator object. </td></tr>
    <tr><td class="paramname">__rhs</td><td>Another % mersenne_twister_engine random number generator object.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>true if the infinite sequences of generated values would be different, false otherwise. </dd></dl>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l00629">629</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<a id="ga58cddddd716e5fe8d9ef54732399b68f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ga58cddddd716e5fe8d9ef54732399b68f">&#9670;&nbsp;</a></span>operator!=() <span class="overload">[3/6]</span></h2>

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template&lt;typename _UIntType , size_t __w, size_t __s, size_t __r&gt; </div>
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          <td class="paramtype">const <a class="el" href="a06279.html">std::subtract_with_carry_engine</a>&lt; _UIntType, __w, __s, __r &gt; &amp;&#160;</td>
          <td class="paramname"><em>__lhs</em>, </td>
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          <td class="paramtype">const <a class="el" href="a06279.html">std::subtract_with_carry_engine</a>&lt; _UIntType, __w, __s, __r &gt; &amp;&#160;</td>
          <td class="paramname"><em>__rhs</em>&#160;</td>
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<p>Compares two % subtract_with_carry_engine random number generator objects of the same type for inequality. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__lhs</td><td>A % subtract_with_carry_engine random number generator object. </td></tr>
    <tr><td class="paramname">__rhs</td><td>Another % subtract_with_carry_engine random number generator object.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>true if the infinite sequences of generated values would be different, false otherwise. </dd></dl>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l00825">825</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<a id="ga223f7056b37b325f9d70eda843982dff"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ga223f7056b37b325f9d70eda843982dff">&#9670;&nbsp;</a></span>operator!=() <span class="overload">[4/6]</span></h2>

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template&lt;typename _RandomNumberEngine , size_t __p, size_t __r&gt; </div>
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          <td class="paramtype">const <a class="el" href="a06283.html">std::discard_block_engine</a>&lt; _RandomNumberEngine, __p, __r &gt; &amp;&#160;</td>
          <td class="paramname"><em>__lhs</em>, </td>
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          <td class="paramtype">const <a class="el" href="a06283.html">std::discard_block_engine</a>&lt; _RandomNumberEngine, __p, __r &gt; &amp;&#160;</td>
          <td class="paramname"><em>__rhs</em>&#160;</td>
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<p>Compares two discard_block_engine random number generator objects of the same type for inequality. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__lhs</td><td>A discard_block_engine random number generator object. </td></tr>
    <tr><td class="paramname">__rhs</td><td>Another discard_block_engine random number generator object.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>true if the infinite sequences of generated values would be different, false otherwise. </dd></dl>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l01047">1047</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="#ga8ad332f998832aa3bbf426abf441c34a">&#9670;&nbsp;</a></span>operator!=() <span class="overload">[5/6]</span></h2>

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template&lt;typename _RandomNumberEngine , size_t __w, typename _UIntType &gt; </div>
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          <td class="paramtype">const <a class="el" href="a06287.html">std::independent_bits_engine</a>&lt; _RandomNumberEngine, __w, _UIntType &gt; &amp;&#160;</td>
          <td class="paramname"><em>__lhs</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">const <a class="el" href="a06287.html">std::independent_bits_engine</a>&lt; _RandomNumberEngine, __w, _UIntType &gt; &amp;&#160;</td>
          <td class="paramname"><em>__rhs</em>&#160;</td>
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<p>Compares two independent_bits_engine random number generator objects of the same type for inequality. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__lhs</td><td>A independent_bits_engine random number generator object. </td></tr>
    <tr><td class="paramname">__rhs</td><td>Another independent_bits_engine random number generator object.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>true if the infinite sequences of generated values would be different, false otherwise. </dd></dl>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l01243">1243</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="#ga47c5a5d9835e00a60a76f4be7ea0f671">&#9670;&nbsp;</a></span>operator!=() <span class="overload">[6/6]</span></h2>

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template&lt;typename _RandomNumberEngine , size_t __k&gt; </div>
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          <td>(</td>
          <td class="paramtype">const <a class="el" href="a06291.html">std::shuffle_order_engine</a>&lt; _RandomNumberEngine, __k &gt; &amp;&#160;</td>
          <td class="paramname"><em>__lhs</em>, </td>
        </tr>
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          <td class="paramkey"></td>
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          <td class="paramtype">const <a class="el" href="a06291.html">std::shuffle_order_engine</a>&lt; _RandomNumberEngine, __k &gt; &amp;&#160;</td>
          <td class="paramname"><em>__rhs</em>&#160;</td>
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<p>Compares two shuffle_order_engine random number generator objects of the same type for inequality.</p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__lhs</td><td>A shuffle_order_engine random number generator object. </td></tr>
    <tr><td class="paramname">__rhs</td><td>Another shuffle_order_engine random number generator object.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>true if the infinite sequences of generated values would be different, false otherwise. </dd></dl>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l01495">1495</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="#ga1e56f8bee410b0ebf924661d35faf834">&#9670;&nbsp;</a></span>operator&lt;&lt;()</h2>

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template&lt;typename _RandomNumberEngine , size_t __w, typename _UIntType , typename _CharT , typename _Traits &gt; </div>
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          <td class="memname"><a class="el" href="a02463.html">std::basic_ostream</a>&lt;_CharT, _Traits&gt;&amp; std::operator&lt;&lt; </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="a02463.html">std::basic_ostream</a>&lt; _CharT, _Traits &gt; &amp;&#160;</td>
          <td class="paramname"><em>__os</em>, </td>
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          <td class="paramtype">const <a class="el" href="a06287.html">std::independent_bits_engine</a>&lt; _RandomNumberEngine, __w, _UIntType &gt; &amp;&#160;</td>
          <td class="paramname"><em>__x</em>&#160;</td>
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<p>Inserts the current state of a independent_bits_engine random number generator engine <code>__x</code> into the output stream <code>__os</code>. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__os</td><td>An output stream. </td></tr>
    <tr><td class="paramname">__x</td><td>A independent_bits_engine random number generator engine.</td></tr>
  </table>
  </dd>
</dl>
<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>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l01262">1262</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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