288 lines
23 KiB
HTML
288 lines
23 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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<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
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<title>标准库头文件 <ratio></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_ratio 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> <ratio></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-ratio.html">编译时有理数算术</a>库的一部分。</p>
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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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<h3><span class="mw-headline" id=".E7.B1.BB">类</span></h3>
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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-ratio-ratio.html"><span class="t-lines"><span>ratio</span></span></a></div>
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</div>
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</td>
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<td>表示精确的有理分数<br />
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<span class="t-mark">(类模板)</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=".E7.AE.97.E6.9C.AF">算术</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-ratio-ratio_add.html"><span class="t-lines"><span>ratio_add</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>在编译时相加两个 <code>ratio</code> 对象<br />
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<span class="t-mark">(别名模板)</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-ratio-ratio_subtract.html"><span class="t-lines"><span>ratio_subtract</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>在编译时相减两个 <code>ratio</code> 对象<br />
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<span class="t-mark">(别名模板)</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-ratio-ratio_multiply.html"><span class="t-lines"><span>ratio_multiply</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>在编译时相乘两个 <code>ratio</code> 对象<br />
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<span class="t-mark">(别名模板)</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-ratio-ratio_divide.html"><span class="t-lines"><span>ratio_divide</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>在编译时相除两个 <code>ratio</code> 对象<br />
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<span class="t-mark">(别名模板)</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.AF.94.E8.BE.83">比较</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-ratio-ratio_equal.html"><span class="t-lines"><span>ratio_equal</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>在编译时比较两个 <code>ratio</code> 对象的相等性<br />
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<span class="t-mark">(类模板)</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-ratio-ratio_not_equal.html"><span class="t-lines"><span>ratio_not_equal</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>在编译时比较两个 <code>ratio</code> 对象的不相等性<br />
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<span class="t-mark">(类模板)</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-ratio-ratio_less.html"><span class="t-lines"><span>ratio_less</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>在编译时比较两个 <code>ratio</code> 对象的<i>小于</i>关系<br />
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<span class="t-mark">(类模板)</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-ratio-ratio_less_equal.html"><span class="t-lines"><span>ratio_less_equal</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>在编译时比较两个 <code>ratio</code> 对象的<i>小于或等于</i>关系<br />
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<span class="t-mark">(类模板)</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-ratio-ratio_greater.html"><span class="t-lines"><span>ratio_greater</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>在编译时比较两个 <code>ratio</code> 对象的<i>大于</i>关系<br />
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<span class="t-mark">(类模板)</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-ratio-ratio_greater_equal.html"><span class="t-lines"><span>ratio_greater_equal</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>在编译时比较两个 <code>ratio</code> 对象的<i>大于或等于</i>关系<br />
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<span class="t-mark">(类模板)</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.B8.B8.E9.87.8F">常量</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><code>yocto</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000000000000000000000</span><span class="sy1">></span></span></span>,若 <span class="t-lc"><a href="cpp-types-integer.html">std::intmax_t</a></span> 能表示分母</td>
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</tr>
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<tr class="t-dsc">
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<td><code>zepto</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000000000000000000</span><span class="sy1">></span></span></span>,若 <span class="t-lc"><a href="cpp-types-integer.html">std::intmax_t</a></span> 能表示分母</td>
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</tr>
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<tr class="t-dsc">
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<td><code>atto</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000000000000000</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>femto</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000000000000</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>pico</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000000000</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>nano</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000000</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>micro</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>milli</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>centi</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">100</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>deci</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">10</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>deca</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">10</span>, <span class="nu0">1</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>hecto</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">100</span>, <span class="nu0">1</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>kilo</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1000</span>, <span class="nu0">1</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>mega</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1000000</span>, <span class="nu0">1</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>giga</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1000000000</span>, <span class="nu0">1</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>tera</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1000000000000</span>, <span class="nu0">1</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>peta</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1000000000000000</span>, <span class="nu0">1</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>exa</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1000000000000000000</span>, <span class="nu0">1</span><span class="sy1">></span></span></span></td>
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</tr>
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<tr class="t-dsc">
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<td><code>zetta</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1000000000000000000000</span>, <span class="nu0">1</span><span class="sy1">></span></span></span>,若 <span class="t-lc"><a href="cpp-types-integer.html">std::intmax_t</a></span> 能表示分子</td>
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</tr>
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<tr class="t-dsc">
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<td><code>yotta</code></td>
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<td><span class="t-c"><span class="mw-geshi cpp source-cpp"><a href="cpp-numeric-ratio-ratio.html"><span class="kw1522">std::<span class="me2">ratio</span></span></a><span class="sy1"><</span><span class="nu0">1000000000000000000000000</span>, <span class="nu0">1</span><span class="sy1">></span></span></span>,若 <span class="t-lc"><a href="cpp-types-integer.html">std::intmax_t</a></span> 能表示分子</td>
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</tr>
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</table>
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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="co1">// 类模板 ratio</span>
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<span class="kw1">template</span> <span class="sy1"><</span>intmax_t N, intmax_t D <span class="sy1">=</span> <span class="nu0">1</span><span class="sy1">></span>
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<span class="kw1">class</span> ratio <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> ratio<span class="sy1"><</span>num, den<span class="sy1">></span> type<span class="sy4">;</span>
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<span class="kw4">static</span> <span class="kw4">constexpr</span> intmax_t num<span class="sy4">;</span>
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<span class="kw4">static</span> <span class="kw4">constexpr</span> intmax_t den<span class="sy4">;</span>
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<span class="br0">}</span><span class="sy4">;</span>
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<span class="co1">// ratio 算术</span>
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<span class="kw1">template</span> <span class="sy1"><</span><span class="kw1">class</span> R1, <span class="kw1">class</span> R2<span class="sy1">></span> <span class="kw1">using</span> ratio_add <span class="sy1">=</span> <span class="coMULTI">/*ratio*/</span><span class="sy4">;</span>
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<span class="kw1">template</span> <span class="sy1"><</span><span class="kw1">class</span> R1, <span class="kw1">class</span> R2<span class="sy1">></span> <span class="kw1">using</span> ratio_subtract <span class="sy1">=</span> <span class="coMULTI">/*ratio*/</span><span class="sy4">;</span>
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<span class="kw1">template</span> <span class="sy1"><</span><span class="kw1">class</span> R1, <span class="kw1">class</span> R2<span class="sy1">></span> <span class="kw1">using</span> ratio_multiply <span class="sy1">=</span> <span class="coMULTI">/*ratio*/</span><span class="sy4">;</span>
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<span class="kw1">template</span> <span class="sy1"><</span><span class="kw1">class</span> R1, <span class="kw1">class</span> R2<span class="sy1">></span> <span class="kw1">using</span> ratio_divide <span class="sy1">=</span> <span class="coMULTI">/*ratio*/</span><span class="sy4">;</span>
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<span class="co1">// ratio 比较</span>
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<span class="kw1">template</span> <span class="sy1"><</span><span class="kw1">class</span> R1, <span class="kw1">class</span> R2<span class="sy1">></span> <span class="kw1">struct</span> ratio_equal<span class="sy4">;</span>
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<span class="kw1">template</span> <span class="sy1"><</span><span class="kw1">class</span> R1, <span class="kw1">class</span> R2<span class="sy1">></span> <span class="kw1">struct</span> ratio_not_equal<span class="sy4">;</span>
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<span class="kw1">template</span> <span class="sy1"><</span><span class="kw1">class</span> R1, <span class="kw1">class</span> R2<span class="sy1">></span> <span class="kw1">struct</span> ratio_less<span class="sy4">;</span>
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<span class="kw1">template</span> <span class="sy1"><</span><span class="kw1">class</span> R1, <span class="kw1">class</span> R2<span class="sy1">></span> <span class="kw1">struct</span> ratio_less_equal<span class="sy4">;</span>
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<span class="kw1">template</span> <span class="sy1"><</span><span class="kw1">class</span> R1, <span class="kw1">class</span> R2<span class="sy1">></span> <span class="kw1">struct</span> ratio_greater<span class="sy4">;</span>
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<span class="kw1">template</span> <span class="sy1"><</span><span class="kw1">class</span> R1, <span class="kw1">class</span> R2<span class="sy1">></span> <span class="kw1">struct</span> ratio_greater_equal<span class="sy4">;</span>
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<span class="co1">// 便利 SI typedef</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000000000000000000000</span><span class="sy1">></span> yocto<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000000000000000000</span><span class="sy1">></span> zepto<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000000000000000</span><span class="sy1">></span> atto<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000000000000</span><span class="sy1">></span> femto<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000000000</span><span class="sy1">></span> pico<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000000</span><span class="sy1">></span> nano<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000000</span><span class="sy1">></span> micro<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">1000</span><span class="sy1">></span> milli<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">100</span><span class="sy1">></span> centi<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span><span class="nu0">1</span>, <span class="nu0">10</span><span class="sy1">></span> deci<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span> <span class="nu0">10</span>, <span class="nu0">1</span><span class="sy1">></span> deca<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span> <span class="nu0">100</span>, <span class="nu0">1</span><span class="sy1">></span> hecto<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span> <span class="nu0">1000</span>, <span class="nu0">1</span><span class="sy1">></span> kilo<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span> <span class="nu0">1000000</span>, <span class="nu0">1</span><span class="sy1">></span> mega<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span> <span class="nu0">1000000000</span>, <span class="nu0">1</span><span class="sy1">></span> giga<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span> <span class="nu0">1000000000000</span>, <span class="nu0">1</span><span class="sy1">></span> tera<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span> <span class="nu0">1000000000000000</span>, <span class="nu0">1</span><span class="sy1">></span> peta<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span> <span class="nu0">1000000000000000000</span>, <span class="nu0">1</span><span class="sy1">></span> exa<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span> <span class="nu0">1000000000000000000000</span>, <span class="nu0">1</span><span class="sy1">></span> zetta<span class="sy4">;</span>
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<span class="kw1">typedef</span> ratio<span class="sy1"><</span><span class="nu0">1000000000000000000000000</span>, <span class="nu0">1</span><span class="sy1">></span> yotta<span class="sy4">;</span>
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<span class="br0">}</span></pre></div>
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