576 lines
72 KiB
HTML
576 lines
72 KiB
HTML
<!DOCTYPE html>
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<html lang="zh" dir="ltr" class="client-nojs" xmlns="http://www.w3.org/1999/xhtml" xml:lang="zh">
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<head><meta http-equiv="x-ua-compatible" content="ie=edge">
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<title>标准库头文件 <complex></title>
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<link rel="stylesheet" href="ext.css" />
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<link rel="stylesheet" href="site_modules.css" />
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</head>
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<body class="mediawiki ltr sitedir-ltr ns-0 ns-subject page-cpp_header_complex 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%">标准库头文件</span> <complex></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-header.html">header</a></span></div>
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<div id="mw-content-text" lang="zh" dir="ltr" class="mw-content-ltr" xml:lang="zh">
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<p>此头文件是<a href="cpp-numeric.html">数值</a>库的一部分。</p>
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<h3><span class="mw-headline" id=".E7.B1.BB">类</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-complex.html"><span class="t-lines"><span>complex</span></span></a></div>
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</div>
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</td>
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<td>复数类型<br />
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<span class="t-mark">(类模板)</span></td>
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<tr class="t-dsc">
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<div><a href="cpp-numeric-complex.html"><span class="t-lines"><span><code><b>complex</b></code><span style="font-size:0.7em; line-height:130%"><float></span></span><span><code><b>complex</b></code><span style="font-size:0.7em; line-height:130%"><double></span></span><span><code><b>complex</b></code><span style="font-size:0.7em; line-height:130%"><long double></span></span></span></a></div>
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</div>
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</td>
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<td>复数类型<br />
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<span class="t-mark">(类模板特化)</span></td>
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</tr>
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</table>
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<h3><span class="mw-headline" id=".E5.87.BD.E6.95.B0">函数</span></h3>
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<table class="t-dsc-begin">
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<tr>
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<td colspan="2">
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<h5><span class="mw-headline" id=".E8.BF.90.E7.AE.97">运算</span></h5>
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</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-complex-operator_arith2.html"><span class="t-lines"><span>operator+</span><span>operator-</span></span></a></div>
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</div>
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</td>
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<td>对复数运用一元运算符<br />
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<span class="t-mark">(函数模板)</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-complex-operator_arith3.html"><span class="t-lines"><span>operator+</span><span>operator-</span><span>operator*</span><span>operator/</span></span></a></div>
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</div>
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</td>
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<td>在两个复数,或一个复数与一个标量上进行复数算术运算<br />
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<span class="t-mark">(函数模板)</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-complex-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><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>比较两个复数,或一个复数与一个标量<br />
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<span class="t-mark">(函数模板)</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-complex-operator_ltltgtgt.html"><span class="t-lines"><span>operator<<</span><span>operator>></span></span></a></div>
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</div>
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</td>
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<td>复数的序列化和反序列化<br />
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<span class="t-mark">(函数模板)</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-complex-real2.html"><span class="t-lines"><span>real</span></span></a></div>
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</div>
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</td>
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<td>返回实部<br />
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<span class="t-mark">(函数模板)</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-complex-imag2.html"><span class="t-lines"><span>imag</span></span></a></div>
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</div>
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</td>
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<td>返回虚部<br />
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<span class="t-mark">(函数模板)</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-complex-abs.html"><span class="t-lines"><span>abs<span class="t-dsc-small">(std::complex)</span></span></span></a></div>
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</div>
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</td>
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<td>返回复数的模<br />
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<span class="t-mark">(函数模板)</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-complex-arg.html"><span class="t-lines"><span>arg</span></span></a></div>
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</div>
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</td>
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<td>返回辐角<br />
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<span class="t-mark">(函数模板)</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-complex-norm.html"><span class="t-lines"><span>norm</span></span></a></div>
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</div>
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</td>
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<td>返回模(范数)的平方<br />
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<span class="t-mark">(函数模板)</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-complex-conj.html"><span class="t-lines"><span>conj</span></span></a></div>
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</div>
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</td>
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<td>返回复共轭<br />
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<span class="t-mark">(函数模板)</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-complex-proj.html"><span class="t-lines"><span>proj</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>返回到黎曼球上的投影<br />
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<span class="t-mark">(函数模板)</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-complex-polar.html"><span class="t-lines"><span>polar</span></span></a></div>
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</div>
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</td>
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<td>从模和辐角构造复数<br />
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<span class="t-mark">(函数模板)</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=".E6.8C.87.E6.95.B0.E5.87.BD.E6.95.B0">指数函数</span></h5>
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</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-complex-exp.html"><span class="t-lines"><span>exp<span class="t-dsc-small">(std::complex)</span></span></span></a></div>
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</div>
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</td>
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<td>以 <i>e</i> 为底复数的指数<br />
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<span class="t-mark">(函数模板)</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-complex-log.html"><span class="t-lines"><span>log<span class="t-dsc-small">(std::complex)</span></span></span></a></div>
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</div>
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</td>
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<td>沿负实轴切割的复自然对数<br />
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<span class="t-mark">(函数模板)</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-complex-log10.html"><span class="t-lines"><span>log10<span class="t-dsc-small">(std::complex)</span></span></span></a></div>
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</div>
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</td>
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<td>沿负实轴分割的复常用对数<br />
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<span class="t-mark">(函数模板)</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=".E5.B9.82.E5.87.BD.E6.95.B0">幂函数</span></h5>
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</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-complex-pow.html"><span class="t-lines"><span>pow<span class="t-dsc-small">(std::complex)</span></span></span></a></div>
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</div>
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</td>
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<td>复数幂,一或两个参数可为复数<br />
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<span class="t-mark">(函数模板)</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-complex-sqrt.html"><span class="t-lines"><span>sqrt<span class="t-dsc-small">(std::complex)</span></span></span></a></div>
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</div>
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</td>
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<td>右半平面范围中的复平方根<br />
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<span class="t-mark">(函数模板)</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=".E4.B8.89.E8.A7.92.E5.87.BD.E6.95.B0">三角函数</span></h5>
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</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-complex-sin.html"><span class="t-lines"><span>sin<span class="t-dsc-small">(std::complex)</span></span></span></a></div>
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</div>
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</td>
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<td>计算复数的正弦( <span class="mjax" style="display:none">\({\small\sin{z} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">sin(z)</span> )<br />
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<span class="t-mark">(函数模板)</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-complex-cos.html"><span class="t-lines"><span>cos<span class="t-dsc-small">(std::complex)</span></span></span></a></div>
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</div>
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</td>
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<td>计算复数的余弦( <span class="mjax" style="display:none">\({\small\cos{z} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">cos(z)</span> )<br />
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<span class="t-mark">(函数模板)</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-complex-tan.html"><span class="t-lines"><span>tan<span class="t-dsc-small">(std::complex)</span></span></span></a></div>
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</div>
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</td>
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<td>计算复数的正切( <span class="mjax" style="display:none">\({\small\tan{z} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">tan(z)</span> )<br />
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<span class="t-mark">(函数模板)</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-complex-asin.html"><span class="t-lines"><span>asin<span class="t-dsc-small">(std::complex)</span></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>计算复数的反正弦( <span class="mjax" style="display:none">\({\small\arcsin{z} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">arcsin(z)</span> )<br />
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<span class="t-mark">(函数模板)</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-complex-acos.html"><span class="t-lines"><span>acos<span class="t-dsc-small">(std::complex)</span></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>计算复数的反余弦( <span class="mjax" style="display:none">\({\small\arccos{z} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">arccos(z)</span> )<br />
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<span class="t-mark">(函数模板)</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-complex-atan.html"><span class="t-lines"><span>atan<span class="t-dsc-small">(std::complex)</span></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>计算复数的反正切( <span class="mjax" style="display:none">\({\small\arctan{z} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">arctan(z)</span> )<br />
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<span class="t-mark">(函数模板)</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=".E5.8F.8C.E6.9B.B2.E5.87.BD.E6.95.B0">双曲函数</span></h5>
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</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-complex-sinh.html"><span class="t-lines"><span>sinh<span class="t-dsc-small">(std::complex)</span></span></span></a></div>
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</div>
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</td>
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<td>计算复数的双曲正弦( <span class="mjax" style="display:none">\({\small\sinh{z} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">sinh(z)</span> )<br />
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<span class="t-mark">(函数模板)</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-complex-cosh.html"><span class="t-lines"><span>cosh<span class="t-dsc-small">(std::complex)</span></span></span></a></div>
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</div>
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</td>
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<td>计算复数的双曲余弦( <span class="mjax" style="display:none">\({\small\cosh{z} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">cosh(z)</span> )<br />
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<span class="t-mark">(函数模板)</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-complex-tanh.html"><span class="t-lines"><span>tanh<span class="t-dsc-small">(std::complex)</span></span></span></a></div>
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</div>
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</td>
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<td>计算复数的双曲正切( <span class="mjax" style="display:none">\({\small\tanh{z} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">tanh(z)</span> )<br />
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<span class="t-mark">(函数模板)</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-complex-asinh.html"><span class="t-lines"><span>asinh<span class="t-dsc-small">(std::complex)</span></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>计算复数的反双曲正弦( <span class="mjax" style="display:none">\({\small\operatorname{arsinh}{z} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">arsinh(z)</span> )<br />
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<span class="t-mark">(函数模板)</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-complex-acosh.html"><span class="t-lines"><span>acosh<span class="t-dsc-small">(std::complex)</span></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>计算复数的反双曲余弦( <span class="mjax" style="display:none">\({\small\operatorname{arcosh}{z} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">arcosh(z)</span> )<br />
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<span class="t-mark">(函数模板)</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-complex-atanh.html"><span class="t-lines"><span>atanh<span class="t-dsc-small">(std::complex)</span></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>计算复数的反双曲正切( <span class="mjax" style="display:none">\({\small\operatorname{artanh}{z} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">artanh(z)</span> )<br />
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<span class="t-mark">(函数模板)</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=".E5.AD.97.E9.9D.A2.E9.87.8F">字面量</span></h5>
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</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-complex-operator_22_22i.html"><span class="t-lines"><span>operator""if</span><span>operator""i</span><span>operator""il</span></span></a></div>
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<div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx14">(C++14)</span></span></span></div>
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</div>
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</td>
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<td>表示纯虚数的 <span class="t-lc"><a href="cpp-numeric-complex.html">std::complex</a></span> 字面量<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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<p><br /></p>
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<h3><span class="mw-headline" id=".E6.A6.82.E8.A6.81">概要</span></h3>
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<div dir="ltr" class="mw-geshi" style="text-align: left;">
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<div class="cpp source-cpp">
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<pre class="de1"><span class="kw1">namespace</span> std <span class="br0">{</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw1">class</span> complex<span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><></span> <span class="kw1">class</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><></span> <span class="kw1">class</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><></span> <span class="kw1">class</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy4">;</span>
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<span class="co1">// 运算符:</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">+</span><span class="br0">(</span>
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<span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">+</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> T<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">+</span><span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">-</span><span class="br0">(</span>
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<span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">-</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> T<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">-</span><span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">*</span><span class="br0">(</span>
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<span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">*</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> T<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">*</span><span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">/</span><span class="br0">(</span>
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<span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">/</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> T<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">/</span><span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">+</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> operator<span class="sy2">-</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> <span class="kw4">bool</span> operator<span class="sy1">==</span><span class="br0">(</span>
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<span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> <span class="kw4">bool</span> operator<span class="sy1">==</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> T<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> <span class="kw4">bool</span> operator<span class="sy1">==</span><span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> <span class="kw4">bool</span> operator<span class="sy3">!</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> <span class="kw4">bool</span> operator<span class="sy3">!</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> T<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> <span class="kw4">bool</span> operator<span class="sy3">!</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T, <span class="kw1">class</span> charT, <span class="kw1">class</span> traits<span class="sy1">></span>
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basic_istream<span class="sy1"><</span>charT, traits<span class="sy1">></span><span class="sy3">&</span>
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operator<span class="sy1">>></span><span class="br0">(</span>basic_istream<span class="sy1"><</span>charT, traits<span class="sy1">></span><span class="sy3">&</span>, complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T, <span class="kw1">class</span> charT, <span class="kw1">class</span> traits<span class="sy1">></span>
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basic_ostream<span class="sy1"><</span>charT, traits<span class="sy1">></span><span class="sy3">&</span>
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operator<span class="sy1"><<</span><span class="br0">(</span>basic_ostream<span class="sy1"><</span>charT, traits<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="co1">// 值:</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> T real<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> T imag<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> T abs<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> T arg<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> T norm<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span> conj<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> proj<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> polar<span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span>, <span class="kw4">const</span> T<span class="sy3">&</span> <span class="sy1">=</span> <span class="nu0">0</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="co1">// 超越函数:</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> acos<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> asin<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> atan<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> acosh<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> asinh<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> atanh<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> cos <span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> cosh <span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> exp <span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> log <span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> log10<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> pow<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> T<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> pow<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> pow<span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span>, <span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> sin <span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> sinh <span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> sqrt <span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> tan <span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span> complex<span class="sy1"><</span>T<span class="sy1">></span> tanh <span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="co1">// 复数字面量:</span>
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<span class="kw1">inline</span> <span class="kw1">namespace</span> literals <span class="br0">{</span>
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<span class="kw1">inline</span> <span class="kw1">namespace</span> complex_literals <span class="br0">{</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span> operator<span class="st0">""</span>il<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span> operator<span class="st0">""</span>il<span class="br0">(</span><span class="kw4">unsigned</span> <span class="kw4">long</span> <span class="kw4">long</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span> operator<span class="st0">""</span>i<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span> operator<span class="st0">""</span>i<span class="br0">(</span><span class="kw4">unsigned</span> <span class="kw4">long</span> <span class="kw4">long</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span> operator<span class="st0">""</span><span class="kw1">if</span><span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span> operator<span class="st0">""</span><span class="kw1">if</span><span class="br0">(</span><span class="kw4">unsigned</span> <span class="kw4">long</span> <span class="kw4">long</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="br0">}</span>
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<span class="br0">}</span>
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<span class="br0">}</span></pre></div>
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</div>
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<h4><span class="mw-headline" id=".E7.B1.BB_std::complex">类 <span class="t-lc"><a href="cpp-numeric-complex.html">std::complex</a></span></span></h4>
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<div dir="ltr" class="mw-geshi" style="text-align: left;">
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<div class="cpp source-cpp">
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<pre class="de1"><span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> T<span class="sy1">></span>
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<span class="kw1">class</span> complex <span class="br0">{</span>
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<span class="kw1">public</span><span class="sy4">:</span>
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<span class="kw1">typedef</span> T value_type<span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span> re <span class="sy1">=</span> T<span class="br0">(</span><span class="br0">)</span>, <span class="kw4">const</span> T<span class="sy3">&</span> im <span class="sy1">=</span> T<span class="br0">(</span><span class="br0">)</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> T real<span class="br0">(</span><span class="br0">)</span> <span class="kw4">const</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> <span class="kw4">void</span> real<span class="br0">(</span>T<span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> T imag<span class="br0">(</span><span class="br0">)</span> <span class="kw4">const</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> <span class="kw4">void</span> imag<span class="br0">(</span>T<span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span> operator<span class="sy1">=</span> <span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">+</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">-</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">*</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">/</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> T<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy3">&</span> operator<span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span> operator<span class="sy1">=</span> <span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">+</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">-</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">*</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span>T<span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">/</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="br0">}</span><span class="sy4">;</span></pre></div>
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</div>
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<h4><span class="mw-headline" id="std::complex_.E7.89.B9.E5.8C.96"><span class="t-lc"><a href="cpp-numeric-complex.html">std::complex</a></span> 特化</span></h4>
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<div dir="ltr" class="mw-geshi" style="text-align: left;">
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<div class="cpp source-cpp">
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<pre class="de1"><span class="kw1">template</span><span class="sy1"><></span> <span class="kw1">class</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span> <span class="br0">{</span>
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<span class="kw1">public</span><span class="sy4">:</span>
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<span class="kw1">typedef</span> <span class="kw4">float</span> value_type<span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="br0">(</span><span class="kw4">float</span> re <span class="sy1">=</span> <span class="nu17">0.0f</span>, <span class="kw4">float</span> im <span class="sy1">=</span> <span class="nu17">0.0f</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">explicit</span> <span class="kw4">constexpr</span> complex<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">explicit</span> <span class="kw4">constexpr</span> complex<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> <span class="kw4">float</span> real<span class="br0">(</span><span class="br0">)</span> <span class="kw4">const</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> <span class="kw4">void</span> real<span class="br0">(</span><span class="kw4">float</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> <span class="kw4">float</span> imag<span class="br0">(</span><span class="br0">)</span> <span class="kw4">const</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> <span class="kw4">void</span> imag<span class="br0">(</span><span class="kw4">float</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy1">=</span> <span class="br0">(</span><span class="kw4">float</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">+</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">float</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">-</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">float</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">*</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">float</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">/</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">float</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy1">=</span> <span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">+</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">-</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">*</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
|
|
<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">/</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="br0">}</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><></span> <span class="kw1">class</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span> <span class="br0">{</span>
|
|
<span class="kw1">public</span><span class="sy4">:</span>
|
|
<span class="kw1">typedef</span> <span class="kw4">double</span> value_type<span class="sy4">;</span>
|
|
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|
<span class="kw4">constexpr</span> complex<span class="br0">(</span><span class="kw4">double</span> re <span class="sy1">=</span> <span class="nu16">0.0</span>, <span class="kw4">double</span> im <span class="sy1">=</span> <span class="nu16">0.0</span><span class="br0">)</span><span class="sy4">;</span>
|
|
<span class="kw4">constexpr</span> complex<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
|
|
<span class="kw1">explicit</span> <span class="kw4">constexpr</span> complex<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
|
|
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|
<span class="kw4">constexpr</span> <span class="kw4">double</span> real<span class="br0">(</span><span class="br0">)</span> <span class="kw4">const</span><span class="sy4">;</span>
|
|
<span class="kw4">constexpr</span> <span class="kw4">void</span> real<span class="br0">(</span><span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
|
|
<span class="kw4">constexpr</span> <span class="kw4">double</span> imag<span class="br0">(</span><span class="br0">)</span> <span class="kw4">const</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> <span class="kw4">void</span> imag<span class="br0">(</span><span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy1">=</span> <span class="br0">(</span><span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">+</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">-</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">*</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">/</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy1">=</span> <span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">+</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">-</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">*</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">/</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="br0">}</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><></span> <span class="kw1">class</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span> <span class="br0">{</span>
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<span class="kw1">public</span><span class="sy4">:</span>
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<span class="kw1">typedef</span> <span class="kw4">long</span> <span class="kw4">double</span> value_type<span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> re <span class="sy1">=</span> 0.0L, <span class="kw4">long</span> <span class="kw4">double</span> im <span class="sy1">=</span> 0.0L<span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span><span class="kw4">float</span><span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span><span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> real<span class="br0">(</span><span class="br0">)</span> <span class="kw4">const</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> <span class="kw4">void</span> real<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> imag<span class="br0">(</span><span class="br0">)</span> <span class="kw4">const</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> <span class="kw4">void</span> imag<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy1">=</span> <span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">+</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">-</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">*</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">/</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy1">=</span> <span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">+</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">-</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">*</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">template</span><span class="sy1"><</span><span class="kw1">class</span> X<span class="sy1">></span> <span class="kw4">constexpr</span> complex<span class="sy1"><</span><span class="kw4">long</span> <span class="kw4">double</span><span class="sy1">></span><span class="sy3">&</span> operator<span class="sy2">/</span><span class="sy1">=</span><span class="br0">(</span><span class="kw4">const</span> complex<span class="sy1"><</span>X<span class="sy1">></span><span class="sy3">&</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="br0">}</span><span class="sy4">;</span></pre></div>
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