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href="/w/index.php?title=Special:%E7%94%A8%E6%88%B7%E7%99%BB%E5%BD%95&returnto=Help%3A%E8%AE%A1%E7%AE%97" title="建议你登录，尽管并非必须。[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>登录</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> 未登录编辑者的页面 <a href="/wiki/Help:%E6%96%B0%E6%89%8B%E5%85%A5%E9%97%A8" aria-label="了解有关编辑的更多信息"><span>了解详情</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:%E6%88%91%E7%9A%84%E8%B4%A1%E7%8C%AE" title="来自此IP地址的编辑列表[y]" accesskey="y"><span>贡献</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:%E6%88%91%E7%9A%84%E8%AE%A8%E8%AE%BA%E9%A1%B5" title="对于来自此IP地址编辑的讨论[n]" accesskey="n"><span>讨论</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="站点"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="目录" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">目录</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">隐藏</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">序言</div> </a> </li> <li id="toc-样例" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#样例"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>样例</span> </div> </a> <ul id="toc-样例-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-詳細運算子、函數、常數說明" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#詳細運算子、函數、常數說明"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>詳細運算子、函數、常數說明</span> </div> </a> <ul id="toc-詳細運算子、函數、常數說明-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-错误" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#错误"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>错误</span> </div> </a> <button aria-controls="toc-错误-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>开关错误子章节</span> </button> <ul id="toc-错误-sublist" class="vector-toc-list"> <li id="toc-错误的样例" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#错误的样例"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>错误的样例</span> </div> </a> <ul id="toc-错误的样例-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-误差" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#误差"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>误差</span> </div> </a> <ul id="toc-误差-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-注意内部数字表示" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#注意内部数字表示"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>注意内部数字表示</span> </div> </a> <ul id="toc-注意内部数字表示-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-参见" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#参见"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>参见</span> </div> </a> <ul id="toc-参见-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="目录" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="开关目录" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">开关目录</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-namespace">Help</span><span class="mw-page-title-separator">:</span><span class="mw-page-title-main">计算</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="前往另一种语言写成的文章。4种语言可用" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-4" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">4种语言</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%B3%D8%A7%D8%B9%D8%AF%D8%A9:%D8%B9%D9%85%D9%84%D9%8A%D8%A7%D8%AA_%D8%AD%D8%B3%D8%A7%D8%A8%D9%8A%D8%A9" title="مساعدة:عمليات حسابية – 阿拉伯语" lang="ar" hreflang="ar" data-title="مساعدة:عمليات حسابية" data-language-autonym="العربية" data-language-local-name="阿拉伯语" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Help:Calculation" title="Help:Calculation – 英语" lang="en" hreflang="en" data-title="Help:Calculation" data-language-autonym="English" data-language-local-name="英语" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Hjelp:Utregning" title="Hjelp:Utregning – 书面挪威语" lang="nb" hreflang="nb" data-title="Hjelp:Utregning" data-language-autonym="Norsk bokmål" data-language-local-name="书面挪威语" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Pomo%C4%8D:Ra%C4%8Dunanje" title="Pomoč:Računanje – 斯洛文尼亚语" lang="sl" hreflang="sl" data-title="Pomoč:Računanje" data-language-autonym="Slovenščina" data-language-local-name="斯洛文尼亚语" class="interlanguage-link-target"><span>Slovenščina</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q11450832#sitelinks-wikipedia" title="编辑跨语言链接" class="wbc-editpage">编辑链接</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="命名空间"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> 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for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">工具</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">工具</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">隐藏</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="更多选项" > <div class="vector-menu-heading"> 操作 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Help:%E8%AE%A1%E7%AE%97"><span>阅读</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Help:%E8%AE%A1%E7%AE%97&action=edit" title="编辑该页面[e]" accesskey="e"><span>编辑</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Help:%E8%AE%A1%E7%AE%97&action=history"><span>查看历史</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div 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li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/75/Wikimedia_Community_Logo.svg/40px-Wikimedia_Community_Logo.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/75/Wikimedia_Community_Logo.svg/60px-Wikimedia_Community_Logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/75/Wikimedia_Community_Logo.svg/80px-Wikimedia_Community_Logo.svg.png 2x" data-file-width="900" data-file-height="900"/></span></span></div> <div class="side-box-text plainlist">元維基有相關資訊：<b><a href="https://meta.wikimedia.org/wiki/Help:Calculation" class="extiw" title="meta:Help:Calculation">Help:Calculation</a></b></div></div> </div> <style data-mw-deduplicate="TemplateStyles:r85100532">.mw-parser-output .hatnote{font-size:small}.mw-parser-output div.hatnote{padding-left:2em;margin-bottom:0.8em;margin-top:0.8em}.mw-parser-output .hatnote-notice-img::after{content:"\202f \202f \202f \202f "}.mw-parser-output .hatnote-notice-img-small::after{content:"\202f \202f "}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}body.skin-minerva .mw-parser-output .hatnote-notice-img,body.skin-minerva .mw-parser-output .hatnote-notice-img-small{display:none}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable"><span class="noviewer hatnote-notice-img" typeof="mw:File"><a href="/wiki/Wikipedia:%E6%B6%88%E6%AD%A7%E4%B9%89" title="Wikipedia:消歧义"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5f/Disambig_gray.svg/25px-Disambig_gray.svg.png" decoding="async" width="25" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5f/Disambig_gray.svg/38px-Disambig_gray.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5f/Disambig_gray.svg/50px-Disambig_gray.svg.png 2x" data-file-width="220" data-file-height="168"/></a></span>此帮助页的主題是簡單的<b><a href="/wiki/%E5%AF%A6%E6%95%B8" class="mw-redirect" title="實數">實數</a>運算</b>。关于需要用到<a href="/wiki/%E8%A4%87%E6%95%B8_(%E6%95%B8%E5%AD%B8)" class="mw-redirect" title="複數 (數學)">複數</a>、<a href="/wiki/%E8%A4%87%E5%88%86%E6%9E%90" title="複分析">複變數</a>、<a href="/wiki/%E5%9B%9B%E5%85%83%E6%95%B8" title="四元數">四元數</a>或特殊<a href="/wiki/%E4%BB%A3%E6%95%B8" class="mw-redirect" title="代數">代數</a>運算的場合，請見「<b><a href="/wiki/Template:%E8%A4%87%E8%AE%8A%E9%81%8B%E7%AE%97" title="Template:複變運算">Template:複變運算</a></b>」。</div> <p>借助于Mediawiki的扩展“函数解析器”，计算变得可行。 </p> <dl><dt>注意：目前此功能还有bug，详情见<a href="https://meta.wikimedia.org/wiki/Talk:ParserFunctions#Bugs" class="extiw" title="meta:Talk:ParserFunctions">meta:Talk:ParserFunctions#Bugs</a>。</dt></dl> <p><tt>expr</tt>函数，计算数学表达式。语法为： </p> <div class="skin-invert" style="text-align: center; position: relative; left: 6px; top: 6px;margin-right: 3px; margin-bottom: 3px; width: 100%; text-align: left"> <div style="background: #F1F0F1;"> <div style="position: relative; left: -1px; top: -1px; background: #DBDADB;"> <div style="position: relative; left: -2px; top: -2px; background: #B8B6B8;"> <table style="position: relative; left: -3px; top: -3px; padding: 5px; width: 100%; background: #F9F9F9; border-color: #2F6FAB; border-width: 1px; border-style: solid;"><tbody><tr><td> <dl><dd>{{#expr: <i>表达式</i> }}</dd></dl> </td></tr></tbody></table></div></div></div></div> <p>表达式支持的运算符有： </p> <table class="prettytable" style="text-align: left;"> <tbody><tr> <th>运算符</th> <th>名称</th> <th>优先级</th> <th>元数</th> <th>结合性</th> <th>样例 </th></tr> <tr> <td>+</td> <td>正</td> <td>9</td> <td>1</td> <td>右</td> <td>{{#expr: + 7}} = 7 </td></tr> <tr> <td>-</td> <td>负</td> <td>9</td> <td>1</td> <td>右</td> <td>{{#expr: - 7}} = -7 </td></tr> <tr> <td>not</td> <td>逻辑非</td> <td>9</td> <td>1</td> <td>右</td> <td>{{#expr: not 7}} = 0 </td></tr> <tr> <td>*</td> <td>乘</td> <td>8</td> <td>2</td> <td>左</td> <td>{{#expr: 30 * 7}} = 210 </td></tr> <tr> <td>/</td> <td>除</td> <td>8</td> <td>2</td> <td>左</td> <td>{{#expr: 30 / 7}} = 4.2857142857143 </td></tr> <tr> <td>div</td> <td>除</td> <td>8</td> <td>2</td> <td>左</td> <td>{{#expr: 30 div 7}} = 4.2857142857143 </td></tr> <tr> <td>mod</td> <td>模</td> <td>8</td> <td>2</td> <td>左</td> <td>{{#expr: 30 mod 7}} = 2 </td></tr> <tr> <td>+</td> <td>加</td> <td>6</td> <td>2</td> <td>左</td> <td>{{#expr: 30 + 7}} = 37 </td></tr> <tr> <td>-</td> <td>减</td> <td>6</td> <td>2</td> <td>左</td> <td>{{#expr: 30 - 7}} = 23 </td></tr> <tr> <td>round</td> <td>舍入</td> <td>5</td> <td>2</td> <td>左</td> <td>{{#expr: 30 / 7 round 7}} = 4.2857143 </td></tr> <tr> <td>=</td> <td>等于</td> <td>4</td> <td>2</td> <td>左</td> <td>{{#expr: 30 = 7}} = 0 </td></tr> <tr> <td><</td> <td>小于</td> <td>4</td> <td>2</td> <td>左</td> <td>{{#expr: 30 < 7}} = 0 </td></tr> <tr> <td>></td> <td>大于</td> <td>4</td> <td>2</td> <td>左</td> <td>{{#expr: 30 > 7}} = 1 </td></tr> <tr> <td><=</td> <td>小于等于</td> <td>4</td> <td>2</td> <td>左</td> <td>{{#expr: 30 <= 7}} = 0 </td></tr> <tr> <td>>=</td> <td>大于等于</td> <td>4</td> <td>2</td> <td>左</td> <td>{{#expr: 30 >= 7}} = 1 </td></tr> <tr> <td><></td> <td>不等于</td> <td>4</td> <td>2</td> <td>左</td> <td>{{#expr: 30 <> 7}} = 1 </td></tr> <tr> <td>!=</td> <td>不等于</td> <td>4</td> <td>2</td> <td>左</td> <td>{{#expr: 30 != 7}} = 1 </td></tr> <tr> <td>and</td> <td>逻辑与</td> <td>3</td> <td>2</td> <td>左</td> <td>{{#expr: 30 and 7}} = 1 </td></tr> <tr> <td>or</td> <td>逻辑或</td> <td>2</td> <td>2</td> <td>左</td> <td>{{#expr: 30 or 7}} = 1 </td></tr></tbody></table> <p>round运算对运算数正负，位数正负都有不同的表现，参见下例。 </p><p>逻辑运算符把假映射为0，把真映射为非0，且返回值只有0或1。 </p><p>同一表达式中先计算高优先级运算。括号优先级高于一切。 </p> <meta property="mw:PageProp/toc"/> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="样例" data-mw-thread-id="h-样例"><span id=".E6.A0.B7.E4.BE.8B"></span><span data-mw-comment-start="" id="h-样例"></span>样例<span data-mw-comment-end="h-样例"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Help:%E8%AE%A1%E7%AE%97&action=edit&section=1" title="编辑章节：样例"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><code>{{#expr: (100 - 32) / 9 * 5 round 0 }}</code> = 38：<a href="/wiki/%E6%B8%A9%E5%BA%A6%E5%8D%95%E4%BD%8D%E6%8D%A2%E7%AE%97" title="温度单位换算">转换</a><a href="/wiki/%E6%91%84%E6%B0%8F%E6%B8%A9%E6%A0%87" title="摄氏温标">摄氏</a><a href="/wiki/%E8%8F%AF%E6%B0%8F%E6%BA%AB%E6%A8%99" class="mw-redirect" title="華氏溫標">华氏</a><a href="/wiki/%E6%B8%A9%E5%BA%A6" title="温度">温度</a></li> <li><code>{{#expr: 3 < 2 < 1}}</code> = 1</li> <li><code>{{#expr: 2 = 2 = 1}}</code> = 1：与数学表达式不同，“=”、“<”、“>”等运算符有返回值</li> <li><code>{{#expr: 999 * 999 round -2}}</code> = 998000</li> <li><code>{{#expr: 999 * 999 round -20}}</code> = 0</li> <li><code>{{#expr: 999 * 999 round -2.9}}</code> = 998000：round的危险用法</li> <li><code>{{#expr: 1 or 1 and 0}}</code> = 1：优先级演示</li> <li><code>{{#expr: 10.9 mod 2}}</code> = 0：<a href="/wiki/%E5%90%8C%E9%A4%98" title="同餘">mod</a>的危险用法</li> <li><code>{{#expr: 30------7}}</code> = 23</li> <li><code>{{#expr: 30+++++7}}</code> = 37：“+”、“-”运算符有两种含义</li> <li><code>{{#expr: .}}</code> = 0</li> <li><code>{{#expr: .1.1}}</code> = 0.1：<a href="/wiki/%E5%AE%9E%E6%95%B0" title="实数">实数</a>表达法的多样性（会无视多出的小数点）</li> <li><code>{{#expr: ( ( ) )}}</code> = ：特殊的<a href="/wiki/%E6%8B%AC%E5%8F%B7" title="括号">括号</a>用法，没有实际意义</li> <li><code>{{#expr: 999999999*...*999999999}}</code> = INF：<a href="/wiki/%E7%AE%97%E8%A1%93%E6%BA%A2%E4%BD%8D" class="mw-redirect" title="算術溢位">数字上溢</a>的结果</li> <li><code>{{#expr:(-1)^0.5}}</code> = NAN：無法計算<a href="/wiki/%E8%99%9B%E6%95%B8%E5%96%AE%E4%BD%8D" title="虛數單位">虛數單位</a></li> <li><code>{{Root|(-1)}}</code> = i：使用<a href="/wiki/Template:Root" title="Template:Root">根號模板</a>（詳見<a href="/wiki/Template:%E8%A4%87%E8%AE%8A%E9%81%8B%E7%AE%97" title="Template:複變運算">Template:複變運算</a>）</li> <li><code>{{複變運算|(-1)^0.5}}</code> = i：使用<a href="/wiki/Template:%E8%A4%87%E8%AE%8A%E9%81%8B%E7%AE%97" title="Template:複變運算">複變運算模板</a></li> <li><code>{{複變運算|e^(((-1)^0.5) * pi)}}</code> = -1：<a href="/wiki/%E6%AD%90%E6%8B%89%E6%81%86%E7%AD%89%E5%BC%8F" title="歐拉恆等式">歐拉恆等式</a></li> <li><code>{{#expr:e^(((-1)^0.5) * pi)}}</code> = NAN：對比使用普通運算功能的<a href="/wiki/%E6%AD%90%E6%8B%89%E6%81%86%E7%AD%89%E5%BC%8F" title="歐拉恆等式">歐拉恆等式</a></li></ul> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="詳細運算子、函數、常數說明" data-mw-thread-id="h-詳細運算子、函數、常數說明"><span id=".E8.A9.B3.E7.B4.B0.E9.81.8B.E7.AE.97.E5.AD.90.E3.80.81.E5.87.BD.E6.95.B8.E3.80.81.E5.B8.B8.E6.95.B8.E8.AA.AA.E6.98.8E"></span><span data-mw-comment-start="" id="h-詳細運算子、函數、常數說明"></span>詳細運算子、函數、常數說明<span data-mw-comment-end="h-詳細運算子、函數、常數說明"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Help:%E8%AE%A1%E7%AE%97&action=edit&section=2" title="编辑章节：詳細運算子、函數、常數說明"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable sortable"> <tbody><tr> <th><i>表達式</i> </th> <th><i><abbr title="參數數量">參數</abbr></i> </th> <th><i>運算子</i> </th> <th><i>PHP</i> </th> <th><i>資料型態</i> </th> <th><i><abbr title="運算子優先順序">優先級</abbr></i> </th> <th><i>範例</i> </th></tr> <tr> <td><span class="anchor" id="一元減"></span><span class="anchor" id="負號"></span><b>-</b></td> <td>1 </td> <td><a href="/wiki/%E4%B8%80%E5%85%83%E9%81%8B%E7%AE%97#一元負數和正數" title="一元運算">一元 <b><tt>-</tt></b> 符號</a> （負號） </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.arithmetic.php">-</a></td> <td>與參數相同</td> <td><span data-sort-value="7001100000000000000♠">10</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:-12}}</code></td> <td>-12 </td></tr> <tr> <td><code>{{#expr:-trunc12}}</code></td> <td>-12 </td></tr> <tr> <td><code>{{#expr:-trunc(-2^63)}}</code></td> <td>9.2233720368548E+18 </td></tr> </tbody></table> </td></tr> <tr> <td><span class="anchor" id="科學記號"></span><b><code>e</code></b><br/> (位於子表達式之間)</td> <td>2</td> <td>*10^<br/>以10為底的指數<br/><a href="/wiki/%E7%A7%91%E5%AD%B8%E8%A8%98%E8%99%9F" class="mw-redirect" title="科學記號">科學記號</a></td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.arithmetic.php">*</a> <a rel="nofollow" class="external text" href="http://php.net/manual/en/function.pow.php">pow</a> (10,..)</td> <td>浮點數，除非左邊的參數是整數且指數是非負整數</td> <td><span data-sort-value="7001100000000000000♠">10</span> </td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:2e3}}</code></td> <td>2000 </td></tr> <tr> <td><code>{{#expr:-2.3e-4}}</code></td> <td>-0.00023 </td></tr> <tr> <td><code>{{#expr:(trunc2)e(trunc-3)}}</code></td> <td>0.002 </td></tr> <tr> <td><code>{{#expr:(trunc2)e(trunc0)}}</code></td> <td>2 </td></tr> <tr> <td><code>{{#expr:(trunc2)e(trunc18)}}</code></td> <td>2000000000000000000 </td></tr> <tr> <td><code>{{#expr:(trunc2)e(trunc19)}}</code></td> <td>2.0E+19 </td></tr> <tr> <td><code>{{#expr:6e(5-2)e-2}}</code></td> <td>60 </td></tr> <tr> <td><code>{{#expr:1e.5}}</code></td> <td>3.1622776601684 </td></tr> </tbody></table> <p>錯誤範例： </p> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:e4}}</code></td> <td><strong class="error">表达式错误：预期外的数字。</strong> </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>exp</code></b></td> <td>1 </td> <td><a href="/wiki/%E6%8C%87%E6%95%B0%E5%87%BD%E6%95%B0" title="指数函数">自然指數函數 e<sup>x</sup></a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.exp.php">exp</a></td> <td>浮點數</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:exp43}}</code></td> <td>4.7278394682293E+18 </td></tr> <tr> <td><code>{{#expr:exp trunc0}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:exp709}}</code></td> <td>8.218407461555E+307 </td></tr> <tr> <td><code>{{#expr:exp-744}}</code></td> <td>9.8813129168249E-324 </td></tr> </tbody></table> <p>比較: </p> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:e^43}}</code></td> <td>4.7278394682293E+18 </td></tr> <tr> <td><code>{{#expr:trunc exp43}}</code></td> <td>4727839468229346304 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>ln</code></b></td> <td>1 </td> <td><a href="/wiki/%E8%87%AA%E7%84%B6%E5%B0%8D%E6%95%B8" title="自然對數">自然對數</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.log.php"><sup>log</sup></a></td> <td>浮點數</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:ln2}}</code></td> <td>0.69314718055995 </td></tr> <tr> <td><code>{{#expr:ln trunc1}}</code></td> <td>0 </td></tr> <tr> <td><code>{{#expr:ln8.9e307}}</code></td> <td>709.07967482591 </td></tr> <tr> <td><code>{{#expr:ln.5e-323}}</code></td> <td>-744.44007192138 </td></tr> </tbody></table> <p>可用換底公式轉換為常用對數，例如 log 2 ≒ 0.3010： </p> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:ln2/ln10}}</code></td> <td>0.30102999566398 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>abs</code></b></td> <td>1 </td> <td><a href="/wiki/%E7%B5%95%E5%B0%8D%E5%80%BC" class="mw-redirect" title="絕對值">絕對值</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.abs.php">abs</a></td> <td>同於輸入值，並且非負</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:abs-2}}</code></td> <td>2 </td></tr> <tr> <td><code>{{#expr:abs trunc-2}}</code></td> <td>2 </td></tr> <tr> <td><code>{{#expr:abs trunc-2^63}}</code></td> <td>9.2233720368548E+18 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>sqrt</code></b></td> <td>1 </td> <td><a href="/wiki/%E5%B9%B3%E6%96%B9%E6%A0%B9" title="平方根">平方根</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.sqrt.php">sqrt</a></td> <td>浮點數</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:sqrt 4}}</code></td> <td>2 </td></tr> <tr> <td><code>{{#expr:sqrt 2}}</code></td> <td>1.4142135623731 </td></tr> <tr> <td><code>{{#expr:sqrt 1e19}}</code></td> <td>3162277660.1684 </td></tr> </tbody></table> <p>此平方根計算無法處理結果為<a href="/wiki/%E8%99%9B%E6%95%B8" class="mw-redirect" title="虛數">虛數</a>或<a href="/wiki/%E8%A4%87%E6%95%B8_(%E6%95%B8%E5%AD%B8)" class="mw-redirect" title="複數 (數學)">複數</a>的情況，<br/>計負值的平方根會出錯： </p> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:sqrt-1}}</code></td> <td><strong class="error">sqrt内：结果不是数字。</strong> </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>trunc</code></b></td> <td>1 </td> <td><a href="/wiki/%E6%88%AA%E5%B0%BE%E5%87%BD%E6%95%B8" title="截尾函數">截尾函數</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.types.integer.php#language.types.integer.casting">(int)</a>，即<a href="/wiki/%E7%B1%BB%E5%9E%8B%E8%BD%AC%E6%8D%A2" title="类型转换">轉換型態</a>為<a href="/wiki/%E6%95%B4%E6%95%B8" class="mw-redirect" title="整數">整數</a></td> <td>整數</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:trunc1.2}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:trunc1.8}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:trunc-1.2}}</code></td> <td>-1 </td></tr> <tr> <td><code>{{#expr:trunc(-2^64+1e5)}}</code></td> <td>98304 </td></tr> <tr> <td><code>{{#expr:trunc(-2^63+1e5)}}</code></td> <td>-9223372036854675456 </td></tr> <tr> <td><code>{{#expr:trunc(2^63)}}</code></td> <td>-9223372036854775808 </td></tr> <tr> <td><code>{{#expr:trunc(2^63+1e5)}}</code></td> <td>-9223372036854675456 </td></tr> <tr> <td><code>{{#expr:trunc(2^64+1e5)}}</code></td> <td>98304 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>floor</code></b></td> <td>1 </td> <td><a href="/wiki/%E5%8F%96%E6%95%B4%E5%87%BD%E6%95%B0" title="取整函数">向下取整函数</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.floor.php">floor</a></td> <td>浮點數</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:floor1.2}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:floor-1.2}}</code></td> <td>-2 </td></tr> <tr> <td><code>{{#expr:floor trunc3}}</code></td> <td>3 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>ceil</code></b></td> <td>1 </td> <td><a href="/wiki/%E5%8F%96%E6%95%B4%E5%87%BD%E6%95%B0" title="取整函数">向上取整函数</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.ceil.php">ceil</a></td> <td>浮點數</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:ceil1.2}}</code></td> <td>2 </td></tr> <tr> <td><code>{{#expr:ceil-1.2}}</code></td> <td>-1 </td></tr> <tr> <td><code>{{#expr:ceil trunc3}}</code></td> <td>3 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>sin</code></b></td> <td>1 </td> <td><a href="/wiki/%E6%AD%A3%E5%BC%A6%E5%87%BD%E6%95%B0" class="mw-redirect" title="正弦函数">正弦函數</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.sin.php">sin</a></td> <td>浮點數</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:sin.1}}</code></td> <td>0.099833416646828 </td></tr> <tr> <td><code>{{#expr:sin trunc1}}</code></td> <td>0.8414709848079 </td></tr> </tbody></table> <p>若要使用角度（如30°）可表達為： </p> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:sin(30*pi/180)}}</code></td> <td>0.5 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>cos</code></b></td> <td>1 </td> <td><a href="/wiki/%E4%BD%99%E5%BC%A6%E5%87%BD%E6%95%B0" class="mw-redirect" title="余弦函数">餘弦函數</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.cos.php">cos</a></td> <td>浮點數</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:cos.1}}</code></td> <td>0.99500416527803 </td></tr> <tr> <td><code>{{#expr:cos trunc1}}</code></td> <td>0.54030230586814 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>tan</code></b></td> <td>1 </td> <td><a href="/wiki/%E6%AD%A3%E5%88%87%E5%87%BD%E6%95%B0" class="mw-redirect" title="正切函数">正切函數</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.tan.php">tan</a></td> <td>浮點數</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:tan.1}}</code></td> <td>0.10033467208545 </td></tr> <tr> <td><code>{{#expr:tan trunc1}}</code></td> <td>1.5574077246549 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>asin</code></b></td> <td>1 </td> <td><a href="/wiki/%E5%8F%8D%E6%AD%A3%E5%BC%A6" title="反正弦">反正弦</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.asin.php">asin</a></td> <td>浮點數</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:asin.1}}</code></td> <td>0.10016742116156 </td></tr> <tr> <td><code>{{#expr:asin trunc1}}</code></td> <td>1.5707963267949 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>acos</code></b></td> <td>1 </td> <td><a href="/wiki/%E5%8F%8D%E9%A4%98%E5%BC%A6" title="反餘弦">反餘弦</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.acos.php">acos</a></td> <td>浮點數</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:acos.1}}</code></td> <td>1.4706289056333 </td></tr> <tr> <td><code>{{#expr:acos trunc1}}</code></td> <td>0 </td></tr> <tr> <td><code>{{#expr:2*acos 0}}</code></td> <td>3.1415926535898 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>atan</code></b></td> <td>1 </td> <td><a href="/wiki/%E5%8F%8D%E6%AD%A3%E5%88%87" title="反正切">反正切</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.atan.php">atan</a></td> <td>浮點數</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:atan.1}}</code></td> <td>0.099668652491162 </td></tr> <tr> <td><code>{{#expr:atan trunc1}}</code></td> <td>0.78539816339745 </td></tr> <tr> <td><code>{{#expr:4*atan 1}}</code></td> <td>3.1415926535898 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>not</code></b></td> <td>1 </td> <td><a href="/wiki/%E9%80%BB%E8%BE%91%E9%9D%9E" title="逻辑非">逻辑非</a> </td> <td><a rel="nofollow" class="external text" href="http://www.php.net/manual/en/language.operators.logical.php">!</a></td> <td>以整數表達<br/>的<a href="/wiki/%E5%B8%83%E6%9E%97%E5%80%BC" class="mw-redirect" title="布林值">布林值</a><br/> （1 或 0）</td> <td><span data-sort-value="7000900000000000000♠">9</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:not0}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:not1}}</code></td> <td>0 </td></tr> <tr> <td><code>{{#expr:not2}}</code></td> <td>0 </td></tr> <tr> <td><code>{{#expr:not trunc1}}</code></td> <td>0 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>^</code></b></td> <td>2 </td> <td><a href="/wiki/%E5%86%AA" title="冪">冪</a> （<a href="/wiki/%E6%8C%87%E6%95%B0" class="mw-disambig" title="指数">指數</a>） </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.pow.php">pow</a></td> <td>原則上為浮點數。若底數為整數且指數為非負整數則為整數</td> <td><span data-sort-value="7000800000000000000♠">8</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:2^3}}</code></td> <td>8 </td></tr> <tr> <td><code>{{#expr:-2^3}}</code></td> <td>-8 </td></tr> <tr> <td><code>{{#expr:-2^4}}</code></td> <td>16 </td></tr> <tr> <td><code>{{#expr:(trunc2)^(trunc-3)}}</code></td> <td>0.125 </td></tr> <tr> <td><code>{{#expr:(trunc2)^(trunc0)}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:(trunc2)^(trunc62)}}</code></td> <td>4611686018427387904 </td></tr> <tr> <td><code>{{#expr:(trunc2)^(trunc63)}}</code></td> <td>9.2233720368548E+18 </td></tr> <tr> <td><code>{{#expr:(-2)^1.2}}</code></td> <td>NAN </td></tr> <tr> <td><code>{{#expr:(-2)^.5}}</code></td> <td>NAN </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>*</code></b></td> <td>2 </td> <td><a href="/wiki/%E4%B9%98%E6%B3%95" title="乘法">乘法</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.arithmetic.php">*</a></td> <td>若兩參數為整數，則為整數，否則為浮點數</td> <td><span data-sort-value="7000700000000000000♠">7</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:2*3}}</code></td> <td>6 </td></tr> <tr> <td><code>{{#expr:(trunc2)*3}}</code></td> <td>6 </td></tr> <tr> <td><code>{{#expr:2*trunc3}}</code></td> <td>6 </td></tr> <tr> <td><code>{{#expr:(trunc2)*trunc3}}</code></td> <td>6 </td></tr> <tr> <td><code>{{#expr:(trunc1e10)*trunc1e9}}</code></td> <td>1.0E+19 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>/</code></b> （或寫作<b>div</b>）</td> <td>2 </td> <td><a href="/wiki/%E9%99%A4%E6%B3%95" title="除法">除法</a> <br/>(div非整數除法<sup id="cite_ref-divmod_1-0" class="reference"><a href="#cite_note-divmod-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>) </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.arithmetic.php">/</a></td> <td>原則上為浮點數。若兩參數皆為整數且<a href="/wiki/%E6%95%B4%E9%99%A4" class="mw-redirect" title="整除">整除</a>則為整數</td> <td><span data-sort-value="7000700000000000000♠">7</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:6/3}}</code></td> <td>2 </td></tr> <tr> <td><code>{{#expr:(trunc6)/3}}</code></td> <td>2 </td></tr> <tr> <td><code>{{#expr:2/trunc6}}</code></td> <td>0.33333333333333 </td></tr> <tr> <td><code>{{#expr:(trunc6)/trunc3}}</code></td> <td>2 </td></tr> <tr> <td><code>{{#expr:(trunc6)/trunc4}}</code></td> <td>1.5 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>mod</code></b></td> <td>2 </td> <td><a href="/wiki/%E6%A8%A1%E9%99%A4" title="模除">模除</a>。實行<a href="/wiki/%E5%B8%A6%E4%BD%99%E9%99%A4%E6%B3%95" title="带余除法">帶餘除法</a><br/>時會將前後兩數截<br/>成整數。<sup id="cite_ref-divmod_1-1" class="reference"><a href="#cite_note-divmod-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.arithmetic.php">%</a></td> <td>整數</td> <td><span data-sort-value="7000700000000000000♠">7</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:30mod7}}</code></td> <td>2 </td></tr> <tr> <td><code>{{#expr:-30mod7}}</code></td> <td>-2 </td></tr> <tr> <td><code>{{#expr:30mod-7}}</code></td> <td>2 </td></tr> <tr> <td><code>{{#expr:-30mod-7}}</code></td> <td>-2 </td></tr> <tr> <td><code>{{#expr:30.5mod7.9}}</code></td> <td>2 </td></tr> </tbody></table> <p>部分<a href="/wiki/%E9%99%A4%E6%95%B8" class="mw-redirect" title="除數">除數</a>無法取餘數（見<a href="#Limitations_and_workarounds">限制章節</a>）: </p> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:123mod2^64}}</code></td> <td><strong class="error">除以零。</strong> </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>fmod</code></b></td> <td>2 </td> <td><a href="/wiki/%E6%A8%A1%E9%99%A4" title="模除">模除</a>，浮點數版本。<br/>返回減去第二參數之整數<br/>倍的第一參數。 </td> <td><a rel="nofollow" class="external text" href="https://www.php.net/manual/en/function.fmod.php">fmod</a></td> <td>浮點數</td> <td><span data-sort-value="7000700000000000000♠">7</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:5.7fmod1.3}}</code></td> <td>0.5 </td></tr> <tr> <td><code>{{#expr:99.9fmod60}}</code></td> <td>39.9 </td></tr> <tr> <td><code>{{#expr:2.99fmod1}}</code></td> <td>0.99 </td></tr> <tr> <td><code>{{#expr:-2.99fmod1}}</code></td> <td>-0.99 </td></tr> <tr> <td><code>{{#expr:2.99fmod-1}}</code></td> <td>0.99 </td></tr> <tr> <td><code>{{#expr:-2.99fmod-1}}</code></td> <td>-0.99 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>+</code></b></td> <td>2 </td> <td><a href="/wiki/%E5%8A%A0%E6%B3%95" title="加法">加法</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.arithmetic.php">+</a></td> <td>若兩參數皆為整數則為整數，其餘浮點數</td> <td><span data-sort-value="7000600000000000000♠">6</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:2+3}}</code></td> <td>5 </td></tr> <tr> <td><code>{{#expr:(trunc2)+3}}</code></td> <td>5 </td></tr> <tr> <td><code>{{#expr:2+trunc3}}</code></td> <td>5 </td></tr> <tr> <td><code>{{#expr:(trunc2)+trunc3}}</code></td> <td>5 </td></tr> <tr> <td><code>{{#expr:(trunc7e18)+trunc4e18}}</code></td> <td>1.1E+19 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>-</code></b></td> <td>2 </td> <td><a href="/wiki/%E6%B8%9B%E6%B3%95" title="減法">減法</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.arithmetic.php">-</a></td> <td>若兩參數皆為整數則為整數，其餘浮點數</td> <td><span data-sort-value="7000600000000000000♠">6</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:3-2}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:(trunc3)-2}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:2-trunc2}}</code></td> <td>0 </td></tr> <tr> <td><code>{{#expr:(trunc3)-trunc2}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:(trunc-7e18)-trunc4e18}}</code></td> <td>-1.1E+19 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>round</code></b></td> <td>2 </td> <td>將指定的小數位數<br/>做<a href="/wiki/%E6%95%B0%E5%80%BC%E4%BF%AE%E7%BA%A6" title="数值修约">四捨五入</a>，若為<br/>負值則會對指數<br/>為數做四捨五入。 </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.round.php">round</a></td> <td>浮點數</td> <td><span data-sort-value="7000500000000000000♠">5</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:9.876round2}}</code></td> <td>9.88 </td></tr> <tr> <td><code>{{#expr:(trunc1234)round trunc-2}}</code></td> <td>1200 </td></tr> <tr> <td><code>{{#expr:4.5round0}}</code></td> <td>5 </td></tr> <tr> <td><code>{{#expr:-4.5round0}}</code></td> <td>-5 </td></tr> <tr> <td><code>{{#expr:46.857round1.8}}</code></td> <td>46.9 </td></tr> <tr> <td><code>{{#expr:46.857round-1.8}}</code></td> <td>50 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>=</code></b></td> <td>2 </td> <td><a href="/wiki/%E7%9B%B8%E7%AD%89" title="相等">相等</a>（數字或邏輯的<br/>相等運算，不支援<br/>字串比對） </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.comparison.php">==</a></td> <td>以整數表達<br/>的<a href="/wiki/%E5%B8%83%E6%9E%97%E5%80%BC" class="mw-redirect" title="布林值">布林值</a><br/> （1 或 0）</td> <td><span data-sort-value="7000400000000000000♠">4</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:3.0=3}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:3.1=3}}</code></td> <td>0 </td></tr> <tr> <td><code>{{#expr:3.0=trunc3}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:3.1=trunc3}}</code></td> <td>0 </td></tr> <tr> <td><code>{{#expr:1e16=trunc(1e16)}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:1e16=trunc(1e16)+trunc1}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:trunc(1e16)=trunc(1e16)+trunc1}}</code></td> <td>0 </td></tr> </tbody></table> <p>錯誤用法： </p> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:a=a}}</code></td> <td><strong class="error">表达式错误：无法识别词语“a”。</strong> </td></tr> </tbody></table> </td></tr> <tr> <td><b><code><</code></b></td> <td>2 </td> <td><a href="/wiki/%E4%B8%8D%E7%AD%89" title="不等">小於</a>（不適用於字串<br/>比較） </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.comparison.php"><</a></td> <td>以整數表達<br/>的<a href="/wiki/%E5%B8%83%E6%9E%97%E5%80%BC" class="mw-redirect" title="布林值">布林值</a><br/> （1 或 0）</td> <td><span data-sort-value="7000400000000000000♠">4</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:3<3}}</code></td> <td>0 </td></tr> <tr> <td><code>{{#expr:3<4}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:2.9<3}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:3.0<3}}</code></td> <td>0 </td></tr> <tr> <td><code>{{#expr:2.9<trunc3}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:3.0<trunc3}}</code></td> <td>0 </td></tr> <tr> <td><code>{{#expr:1e16<trunc(1e16)+trunc1}}</code></td> <td>0 </td></tr> </tbody></table> <p>wrong: </p> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:a<b}}</code></td> <td><strong class="error">表达式错误：无法识别词语“a”。</strong> </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>></code></b></td> <td>2 </td> <td><a href="/wiki/%E4%B8%8D%E7%AD%89" title="不等">大於</a>（當參數顛倒時<br/>與 < 相同） </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.comparison.php">></a></td> <td>以整數表達<br/>的<a href="/wiki/%E5%B8%83%E6%9E%97%E5%80%BC" class="mw-redirect" title="布林值">布林值</a><br/> （1 或 0）</td> <td><span data-sort-value="7000400000000000000♠">4</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:4>3}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:3>3}}</code></td> <td>0 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code><=</code></b></td> <td>2 </td> <td><a href="/wiki/%E4%B8%8D%E7%AD%89" title="不等">小於等於</a>（當參數<br/>顛倒時與 >= 相同） </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.comparison.php"><=</a></td> <td>以整數表達<br/>的<a href="/wiki/%E5%B8%83%E6%9E%97%E5%80%BC" class="mw-redirect" title="布林值">布林值</a><br/> （1 或 0）</td> <td><span data-sort-value="7000400000000000000♠">4</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:3<=4}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:3<=3}}</code></td> <td>1 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>>=</code></b></td> <td>2 </td> <td><a href="/wiki/%E4%B8%8D%E7%AD%89" title="不等">大於等於</a>（<的否定） </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.logical.php">>=</a></td> <td>以整數表達<br/>的<a href="/wiki/%E5%B8%83%E6%9E%97%E5%80%BC" class="mw-redirect" title="布林值">布林值</a><br/> （1 或 0）</td> <td><span data-sort-value="7000400000000000000♠">4</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:4>=3}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:3>=3}}</code></td> <td>1 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>and</code></b></td> <td>2 </td> <td><a href="/wiki/%E9%80%BB%E8%BE%91%E4%B8%8E" title="逻辑与">逻辑与</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.logical.php">&&</a></td> <td>以整數表達<br/>的<a href="/wiki/%E5%B8%83%E6%9E%97%E5%80%BC" class="mw-redirect" title="布林值">布林值</a><br/> （1 或 0）</td> <td><span data-sort-value="7000300000000000000♠">3</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:3and4}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:-3and0}}</code></td> <td>0 </td></tr> <tr> <td><code>{{#expr:0and4}}</code></td> <td>0 </td></tr> <tr> <td><code>{{#expr:0and0}}</code></td> <td>0 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>or</code></b></td> <td>2 </td> <td><a href="/wiki/%E9%80%BB%E8%BE%91%E6%88%96" title="逻辑或">逻辑或</a> </td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/language.operators.logical.php">||</a></td> <td>以整數表達<br/>的<a href="/wiki/%E5%B8%83%E6%9E%97%E5%80%BC" class="mw-redirect" title="布林值">布林值</a><br/> （1 或 0）</td> <td><span data-sort-value="7000200000000000000♠">2</span></td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:3or4}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:-3or0}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:0or4}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:0or0}}</code></td> <td>0 </td></tr> </tbody></table> </td></tr> <tr> <td><span class="anchor" id="一元加"></span><span class="anchor" id="正號"></span><b><code>+</code></b></td> <td>1 </td> <td><a href="/wiki/%E4%B8%80%E5%85%83%E9%81%8B%E7%AE%97#一元負數和正數" title="一元運算">一元 <b><tt>+</tt></b> 符號</a> （正號） </td> <td>（不適用）</td> <td>與參數相同</td> <td>不適用</td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:+1}}</code></td> <td>1 </td></tr> <tr> <td><code>{{#expr:+-1}}</code></td> <td>-1 </td></tr> <tr> <td><code>{{#expr:+trunc1}}</code></td> <td>1 </td></tr> </tbody></table> </td></tr> <tr> <td><span class="nowrap">（數字）</span></td> <td>0 </td> <td>普通十進制的無符號<br/>數字（<a href="#正號">一元加</a><a href="#負號">減</a>和 <a href="#科學記號">e</a><br/>被視為運算符，請<br/>參見本表的其他地方）</td> <td><a rel="nofollow" class="external text" href="http://nl.php.net/manual/en/function.floatval.php">floatval</a></td> <td>浮點數</td> <td>不適用 </td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:1234567890123456789}}</code></td> <td>1.2345678901235E+18 </td></tr> <tr> <td><code>{{#expr:123456789.0123456789}}</code></td> <td>123456789.01235 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>e</code></b>作為<br/>子表達式</td> <td>0 </td> <td>數學常數<a href="/wiki/E_(%E6%95%B8%E5%AD%B8%E5%B8%B8%E6%95%B8)" class="mw-redirect" title="E (數學常數)">e</a></td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.exp.php">exp</a>(1)</td> <td>浮點數</td> <td>不適用 </td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:e}}</code></td> <td>2.718281828459 </td></tr> </tbody></table> </td></tr> <tr> <td><b><code>pi</code></b></td> <td>0 </td> <td>數學常數<a href="/wiki/%E5%9C%93%E5%91%A8%E7%8E%87" title="圓周率">圓周率</a> <a href="/wiki/%E5%9C%93%E5%91%A8%E7%8E%87" title="圓周率">π</a></td> <td><a rel="nofollow" class="external text" href="http://php.net/manual/en/function.pi.php">pi</a></td> <td>浮點數</td> <td>不適用 </td> <td> <table class="wikitable"> <tbody><tr> <td><code>{{#expr:pi}}</code></td> <td>3.1415926535898 </td></tr> </tbody></table> </td></tr></tbody></table> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="错误" data-mw-thread-id="h-错误"><span id=".E9.94.99.E8.AF.AF"></span><span data-mw-comment-start="" id="h-错误"></span>错误<span data-mw-comment-end="h-错误"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Help:%E8%AE%A1%E7%AE%97&action=edit&section=3" title="编辑章节：错误"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>此函数检查错误并给出信息。 </p> <ul><li>Expression error: stack exhausted：表达式太长，栈耗尽；</li> <li>Expression error: unexpected number：不可预期的数字；</li> <li>Expression error: unexpected preg_match failure：运算符匹配失败；</li> <li>Expression error: unrecognised word "$1"：不可识别的运算符；</li> <li>Expression error: unexpected $1 operator：不可预期的运算符；</li> <li>Expression error: Missing operand for $1：缺少运算数；</li> <li>Expression error: unexpected closing bracket：不可预料的“)”</li> <li>Expression error: unrecognised punctuation character "$1"：不可识别的标点字符；</li> <li>Expression error: unclosed bracket：缺少“)”</li> <li>Division by zero：零除错误；</li> <li>In sqrt: Result is not a number：計算結果為虛數。</li> <li>Invalid argument for "$1": "$2"：超出"$1"的定義域。</li></ul> <div class="mw-heading mw-heading3"><h3 id="错误的样例" data-mw-thread-id="h-错误的样例-错误"><span id=".E9.94.99.E8.AF.AF.E7.9A.84.E6.A0.B7.E4.BE.8B"></span><span data-mw-comment-start="" id="h-错误的样例-错误"></span>错误的样例<span data-mw-comment-end="h-错误的样例-错误"></span></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Help:%E8%AE%A1%E7%AE%97&action=edit&section=4" title="编辑章节：错误的样例"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><code>{{#expr: ---...---1}}（110个“-”）</code> = <strong class="error">表达式错误：堆栈耗尽。</strong></li> <li><code>{{#expr: ( ) 1}}</code> = <strong class="error">表达式错误：预期外的数字。</strong></li> <li><code>{{#expr: 2 d 1}}</code> = <strong class="error">表达式错误：无法识别词语“d”。</strong></li> <li><code>{{#expr: * 1}}</code> = <strong class="error">表达式错误：预期外的*运算符。</strong></li> <li><code>{{#expr: -}}</code> = <strong class="error">表达式错误：缺少-的操作数。</strong></li> <li><code>{{#expr: ( 1 ) )}}</code> = <strong class="error">表达式错误：预期外的反括号。</strong></li> <li><code>{{#expr: 壹}}</code> = <strong class="error">表达式错误：无法识别标点符号“壹”。</strong></li> <li><code>{{#expr: ( 1}}</code> = <strong class="error">表达式错误：未封闭的括号。</strong></li> <li><code>{{#expr: 1 / 0}}</code> = <strong class="error">除以零。</strong></li> <li><code>{{#expr:sqrt-1}}</code> = <strong class="error">sqrt内：结果不是数字。</strong></li> <li><code>{{#expr:ln0}}</code> = <strong class="error">ln的参数无效：小于或等于0。</strong></li> <li><code>{{#expr:asin-22}}</code> = <strong class="error">asin的参数无效：小于-1或大于1。</strong></li></ul> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="误差" data-mw-thread-id="h-误差"><span id=".E8.AF.AF.E5.B7.AE"></span><span data-mw-comment-start="" id="h-误差"></span>误差<span data-mw-comment-end="h-误差"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Help:%E8%AE%A1%E7%AE%97&action=edit&section=5" title="编辑章节：误差"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/%E6%B5%AE%E7%82%B9" class="mw-redirect" title="浮点">浮点</a><a href="/wiki/%E8%AF%AF%E5%B7%AE" title="误差">误差</a>有可能造成某些运算的结果不可预料，特别是最后几位数不精确。使用此函数运算<a href="/wiki/%E5%AE%9E%E6%95%B0" title="实数">实数</a>时，注意不要比较运算。 </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="注意内部数字表示" data-mw-thread-id="h-注意内部数字表示"><span id=".E6.B3.A8.E6.84.8F.E5.86.85.E9.83.A8.E6.95.B0.E5.AD.97.E8.A1.A8.E7.A4.BA"></span><span data-mw-comment-start="" id="h-注意内部数字表示"></span>注意内部数字表示<span data-mw-comment-end="h-注意内部数字表示"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Help:%E8%AE%A1%E7%AE%97&action=edit&section=6" title="编辑章节：注意内部数字表示"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><code>{{#expr: 100000000000000000}}</code> = 1.0E+17</li> <li><code>{{#expr: {{#expr: 100000000000000000}}}}</code> = 1.0E+17</li> <li><code>{{#expr: (-1.5-0.5 round 0)+2}}</code> = 0</li> <li><code>{{#expr: -0.1 round 0}}</code> = -0</li> <li><code>{{#expr: 2017.5000 round 3}}</code> = 2017.5：使用時會有無法補零的情形。欲補零，可以使用{{<a href="/wiki/Template:Round" class="mw-redirect" title="Template:Round">Round</a>}}模板來解決</li></ul> <p>在返回值中，有可能出现无法<b>再计算</b>的数的情况，或者有一部分<a href="/wiki/%E6%9C%89%E6%95%88%E6%95%B0%E5%AD%97" title="有效数字">有效数字</a>没有显示出来。使用此函数运算时须注意这些问题。 </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="参见" data-mw-thread-id="h-参见"><span id=".E5.8F.82.E8.A7.81"></span><span data-mw-comment-start="" id="h-参见"></span>参见<span data-mw-comment-end="h-参见"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Help:%E8%AE%A1%E7%AE%97&action=edit&section=7" title="编辑章节：参见"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Template:%E8%A4%87%E8%AE%8A%E9%81%8B%E7%AE%97" title="Template:複變運算">Template:複變運算</a>：MediaWiki原生的運算功能只懂得運算<a href="/wiki/%E5%AF%A6%E6%95%B8" class="mw-redirect" title="實數">實數</a>。若要計算<a href="/wiki/%E8%A4%87%E6%95%B8_(%E6%95%B8%E5%AD%B8)" class="mw-redirect" title="複數 (數學)">複數</a>或<a href="/wiki/%E8%A4%87%E5%88%86%E6%9E%90" title="複分析">複變數</a>甚至<a href="/wiki/%E5%9B%9B%E5%85%83%E6%95%B8" title="四元數">四元數</a>可使用<a href="/wiki/Template:%E8%A4%87%E8%AE%8A%E9%81%8B%E7%AE%97" title="Template:複變運算">Template:複變運算</a>模板，如上述示例中對負值取平方根時。</li> <li><a href="/wiki/Help:%E6%A8%A1%E6%9D%BF%E6%89%A9%E5%B1%95%E8%AF%AD%E6%B3%95" class="mw-redirect" title="Help:模板扩展语法">Help:模板扩展语法</a></li> <li>更多资料可参见<a href="https://meta.wikimedia.org/wiki/help:Calculation" class="extiw" title="m:help:Calculation">m:help:Calculation</a><span style="font-family: sans-serif; cursor: default; color:var(--color-subtle, #54595d); font-size: 0.8em; bottom: 0.1em; font-weight: bold;" title="英語">（英文）</span>。</li></ul> <div style="clear: both; height: 1em"></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" 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