345 lines
21 KiB
HTML
345 lines
21 KiB
HTML
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<title>std::mersenne_twister_engine</title>
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<body class="mediawiki ltr sitedir-ltr ns-0 ns-subject page-cpp_numeric_random_mersenne_twister_engine skin-cppreference2 action-view cpp-navbar">
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<div id="cpp-content-base">
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<div id="content"><a id="top"></a>
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<h1 id="firstHeading" class="firstHeading"><span style="font-size:0.7em; line-height:130%">std::</span>mersenne_twister_engine</h1>
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<div id="bodyContent">
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<div id="contentSub"><span class="subpages">< <a href="cpp.html">cpp</a>‎ | <a href="cpp-numeric.html">numeric</a>‎ | <a href="cpp-numeric-random.html">random</a></span></div>
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<td>
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<div>定义于头文件 <code><a href="cpp-header-random.html"><random></a></code></div>
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</td>
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<td></td>
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<td></td>
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<div><span class="mw-geshi cpp source-cpp"><span class="kw1">template</span><span class="sy1"><</span><br /></span>
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<p> <span class="kw1">class</span> UIntType,<br />
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<a href="cpp-types-size_t.html"><span class="kw100">std::<span class="me2">size_t</span></span></a> w, <a href="cpp-types-size_t.html"><span class="kw100">std::<span class="me2">size_t</span></span></a> n, <a href="cpp-types-size_t.html"><span class="kw100">std::<span class="me2">size_t</span></span></a> m, <a href="cpp-types-size_t.html"><span class="kw100">std::<span class="me2">size_t</span></span></a> r,<br />
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UIntType a, <a href="cpp-types-size_t.html"><span class="kw100">std::<span class="me2">size_t</span></span></a> u, UIntType d, <a href="cpp-types-size_t.html"><span class="kw100">std::<span class="me2">size_t</span></span></a> s,<br />
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UIntType b, <a href="cpp-types-size_t.html"><span class="kw100">std::<span class="me2">size_t</span></span></a> t,<br />
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UIntType c, <a href="cpp-types-size_t.html"><span class="kw100">std::<span class="me2">size_t</span></span></a> l, UIntType f<br /></p>
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<span class="sy1">></span> <span class="kw1">class</span> mersenne_twister_engine<span class="sy4">;</span></div>
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<td><span class="t-mark-rev t-since-cxx11">(C++11 起)</span></td>
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<p><code>mersenne_twister_engine</code> 是基于<a href="https://en.wikipedia.org/wiki/Mersenne_twister" class="extiw" title="enwiki:Mersenne twister">梅森缠绕器</a>算法的随机数生成器。它产生高质量 <code>UIntType</code> 类型的区间 <span class="mjax" style="display:none">\(\small{[0,2^w-1)}\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">[0, 2<span class="t-su">w<br /></span>-1]</span> 上的无符号整数随机数。</p>
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<p>下列类型别名定义拥有二个常用参数集的随机数引擎:</p>
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<table class="t-dsc-begin">
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<td colspan="2">
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<div>定义于头文件 <code><a href="cpp-header-random.html"><random></a></code></div>
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</td>
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<tr class="t-dsc-hitem">
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<td>类型</td>
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<td>定义</td>
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<td><code>mt19937</code><span class="t-mark-rev t-since-cxx11">(C++11)</span></td>
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<td>
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<p><span class="t-c"><span class="mw-geshi cpp source-cpp">std<span class="sy4">::</span><span class="me2">mersenne_twister_engine</span><span class="sy1"><</span><a href="cpp-types-integer.html"><span class="kw126">std::<span class="me2">uint_fast32_t</span></span></a>, <span class="nu0">32</span>, <span class="nu0">624</span>, <span class="nu0">397</span>, <span class="nu0">31</span>,<br />
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<span class="nu12">0x9908b0df</span>, <span class="nu0">11</span>,<br />
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<span class="nu12">0xffffffff</span>, <span class="nu0">7</span>,<br />
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<span class="nu12">0x9d2c5680</span>, <span class="nu0">15</span>,<br />
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<span class="nu12">0xefc60000</span>, <span class="nu0">18</span>, <span class="nu0">1812433253</span><span class="sy1">></span></span></span><br />
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32 位梅森缠绕器,由松本与西村设计于 1998</p>
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<td><code>mt19937_64</code><span class="t-mark-rev t-since-cxx11">(C++11)</span></td>
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<td>
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<p><span class="t-c"><span class="mw-geshi cpp source-cpp">std<span class="sy4">::</span><span class="me2">mersenne_twister_engine</span><span class="sy1"><</span><a href="cpp-types-integer.html"><span class="kw127">std::<span class="me2">uint_fast64_t</span></span></a>, <span class="nu0">64</span>, <span class="nu0">312</span>, <span class="nu0">156</span>, <span class="nu0">31</span>,<br />
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<span class="nu12">0xb5026f5aa96619e9</span>, <span class="nu0">29</span>,<br />
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<span class="nu12">0x5555555555555555</span>, <span class="nu0">17</span>,<br />
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<span class="nu12">0x71d67fffeda60000</span>, <span class="nu0">37</span>,<br />
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<span class="nu12">0xfff7eee000000000</span>, <span class="nu0">43</span>, <span class="nu0">6364136223846793005</span><span class="sy1">></span></span></span><br />
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64 位梅森缠绕器,由松本与西村设计于 2000</p>
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</table>
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<h3><span class="mw-headline" id=".E6.88.90.E5.91.98.E7.B1.BB.E5.9E.8B">成员类型</span></h3>
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<table class="t-dsc-begin">
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<td>成员类型</td>
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<td>定义</td>
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<td><code>result_type</code><span class="t-mark-rev t-since-cxx11">(C++11)</span></td>
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<td>引擎所生成的整数类型。若此非无符号整数类型则结果未定义。</td>
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</tr>
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</table>
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<h3><span class="mw-headline" id=".E6.88.90.E5.91.98.E5.87.BD.E6.95.B0">成员函数</span></h3>
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<table class="t-dsc-begin">
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<td colspan="2">
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<h5><span class="mw-headline" id=".E6.9E.84.E9.80.A0.E4.B8.8E.E6.92.AD.E7.A7.8D">构造与播种</span></h5>
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</td>
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<div class="t-dsc-member-div t-dsc-member-nobold-div">
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<div><a href="cpp-numeric-random-mersenne_twister_engine-mersenne_twister_engine.html"><span class="t-lines"><span>(构造函数)</span></span></a></div>
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<div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>构造引擎<br />
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<span class="t-mark">(公开成员函数)</span></td>
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<td>
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<div class="t-dsc-member-div">
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<div><a href="cpp-numeric-random-mersenne_twister_engine-seed.html"><span class="t-lines"><span>seed</span></span></a></div>
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<div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>设置引擎的当前状态<br />
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<span class="t-mark">(公开成员函数)</span></td>
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</tr>
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<tr>
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<td colspan="2">
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<h5><span class="mw-headline" id=".E7.94.9F.E6.88.90">生成</span></h5>
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</td>
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<div class="t-dsc-member-div">
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<div><a href="cpp-numeric-random-mersenne_twister_engine-operator().html"><span class="t-lines"><span>operator()</span></span></a></div>
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<div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>推进引擎状态并返回生成的值<br />
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<span class="t-mark">(公开成员函数)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><a href="cpp-numeric-random-mersenne_twister_engine-discard.html"><span class="t-lines"><span>discard</span></span></a></div>
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<div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>令引擎状态前进指定量<br />
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<span class="t-mark">(公开成员函数)</span></td>
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<tr>
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<td colspan="2">
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<h5><span class="mw-headline" id=".E7.89.B9.E5.BE.81">特征</span></h5>
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</td>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><a href="cpp-numeric-random-mersenne_twister_engine-min.html"><span class="t-lines"><span>min</span></span></a></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span></span></span></div>
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</div>
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</td>
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<td>获取输出范围中的最小可能值<br />
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<span class="t-mark">(公开静态成员函数)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><a href="cpp-numeric-random-mersenne_twister_engine-max.html"><span class="t-lines"><span>max</span></span></a></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span></span></span></div>
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</div>
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</td>
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<td>获取输出范围中的最大可能值<br />
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<span class="t-mark">(公开静态成员函数)</span></td>
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</tr>
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</table>
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<h3><span class="mw-headline" id=".E9.9D.9E.E6.88.90.E5.91.98.E5.87.BD.E6.95.B0">非成员函数</span></h3>
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<table class="t-dsc-begin">
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><a href="cpp-numeric-random-mersenne_twister_engine-operator_cmp.html"><span class="t-lines"><span>operator==</span><span>operator!=</span></span></a></div>
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<div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span><span class="t-mark-rev t-until-cxx20">(C++20 中移除)</span></span></span></div>
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</div>
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</td>
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<td>比较两个伪随机数引擎的内部状态<br />
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<span class="t-mark">(函数)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><a href="cpp-numeric-random-mersenne_twister_engine-operator_ltltgtgt.html"><span class="t-lines"><span>operator<<</span><span>operator>></span></span></a></div>
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<div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>执行伪随机数引擎的流输入和输出<br />
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<span class="t-mark">(函数)</span></td>
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</tr>
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</table>
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<h3><span class="mw-headline" id=".E6.88.90.E5.91.98.E5.B8.B8.E9.87.8F">成员常量</span></h3>
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<table class="t-dsc-begin">
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr size_t</span> word_size</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>模板形参 <code>w</code> ,确定引擎所生成的值范围。<br />
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<span class="t-mark">(公开静态成员常量)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr size_t</span> state_size</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>模板形参 <code>n</code> 。引擎状态是 <code>n</code> 个 <code>UIntType</code> 值<br />
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<span class="t-mark">(公开静态成员常量)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr size_t</span> shift_size</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>模板形参 <code>m</code><br />
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<span class="t-mark">(公开静态成员常量)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr size_t</span> mask_bits</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>模板形参 <code>r</code> ,亦称为缠绕值。<br />
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<span class="t-mark">(公开静态成员常量)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr UIntType</span> xor_mask</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>模板形参 <code>a</code> ,条件性异或掩码。<br />
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<span class="t-mark">(公开静态成员常量)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr size_t</span> tempering_u</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>模板形参 <code>u</code> ,位扰乱(均化)矩阵的第一组分<br />
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<span class="t-mark">(公开静态成员常量)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr UIntType</span> tempering_d</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>模板形参 <code>d</code> ,位扰乱(均化)矩阵的第二组分<br />
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<span class="t-mark">(公开静态成员常量)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr size_t</span> tempering_s</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>模板形参 <code>s</code> ,位扰乱(均化)矩阵的第三组分<br />
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<span class="t-mark">(公开静态成员常量)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr UIntType</span> tempering_b</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>模板形参 <code>b</code> ,位扰乱(均化)矩阵的第四组分<br />
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<span class="t-mark">(公开静态成员常量)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr size_t</span> tempering_t</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>模板形参 <code>t</code> ,位扰乱(均化)矩阵的第五组分<br />
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<span class="t-mark">(公开静态成员常量)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr UIntType</span> tempering_c</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>模板形参 <code>c</code> ,位扰乱(均化)矩阵的第六组分<br />
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<span class="t-mark">(公开静态成员常量)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr size_t</span> tempering_l</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>模板形参 <code>l</code> ,位扰乱(均化)矩阵的第七组分<br />
|
|
<span class="t-mark">(公开静态成员常量)</span></td>
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|
</tr>
|
|
<tr class="t-dsc">
|
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<td>
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|
<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr UIntType</span> initialization_multiplier</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>模板形参 <code>f</code><br />
|
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<span class="t-mark">(公开静态成员常量)</span></td>
|
|
</tr>
|
|
<tr class="t-dsc">
|
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<td>
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|
<div class="t-dsc-member-div">
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<div><span class="t-lines"><span><span class="t-dsc-small">constexpr UIntType</span> default_seed</span></span></div>
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<div><span class="t-lines"><span><span class="t-cmark">[静态]</span> <span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div>
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</div>
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</td>
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<td>常数值 <span class="t-c"><span class="mw-geshi cpp source-cpp">5489u</span></span><br />
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<span class="t-mark">(公开静态成员常量)</span></td>
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</tr>
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</table>
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<h3><span class="mw-headline" id=".E6.B3.A8.E8.A7.A3">注解</span></h3>
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<p>第 10000 次连续调用默认构造的 <code>std::mt19937</code> 应生成值 <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="nu0">4123659995</span></span></span> 。</p>
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<p>第 10000 次连续调用默认构造的 <code>std::mt19937_64</code> 应生成值 <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="nu0">9981545732273789042</span></span></span> 。</p>
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