snowykami/mbcp
1
0
Fork 0
mirror of https://github.com/snowykami/mbcp.git synced 2024-11-23 14:55:04 +08:00
Code Issues Actions Packages Projects Releases Wiki Activity
7daa324220
mbcp/zht/api/mp_math/equation.html

89 lines
56 KiB
HTML
Raw Blame History

This file contains invisible Unicode characters

This file contains invisible Unicode characters that are indistinguishable to humans but may be processed differently by a computer. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

<!DOCTYPE html>
<html lang="zh-Hant" dir="ltr">
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width,initial-scale=1">
<title>mbcp.mp_math.equation | MBCP 文檔</title>
<meta name="description" content="MBCP 粒子計算和生成庫文檔">
<meta name="generator" content="VitePress v1.3.4">
<link rel="preload stylesheet" href="/assets/style.Czi07tLB.css" as="style">
<script type="module" src="/assets/app.CiQ6AA_G.js"></script>
<link rel="modulepreload" href="/assets/chunks/theme.DHjGH3Nl.js">
<link rel="modulepreload" href="/assets/chunks/framework.DpC1ZpOZ.js">
<link rel="modulepreload" href="/assets/zht_api_mp_math_equation.md.B00IWO_d.lean.js">
<link rel="icon" type="image/svg+xml" href="/mbcp-logo.svg">
<link rel="stylesheet" href="https://fonts.font.im/css?family=Cousine:400,400i,700,700i|Poppins:100,100i,200,200i,300,300i,400,400i,500,500i,600,600i,700,700i,800,800i,900,900i">
<script id="check-dark-mode">(()=>{const e=localStorage.getItem("vitepress-theme-appearance")||"auto",a=window.matchMedia("(prefers-color-scheme: dark)").matches;(!e||e==="auto"?a:e==="dark")&&document.documentElement.classList.add("dark")})();</script>
<script id="check-mac-os">document.documentElement.classList.toggle("mac",/Mac|iPhone|iPod|iPad/i.test(navigator.platform));</script>
</head>
<body>
<div id="app"><div class="Layout" data-v-3b4648ff><!--[--><!--]--><!--[--><span tabindex="-1" data-v-e813112c></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-e813112c> Skip to content </a><!--]--><!----><header class="VPNav" data-v-3b4648ff data-v-e823d444><div class="VPNavBar has-sidebar top" data-v-e823d444 data-v-da0688be><div class="wrapper" data-v-da0688be><div class="container" data-v-da0688be><div class="title" data-v-da0688be><div class="VPNavBarTitle has-sidebar" data-v-da0688be data-v-606a7e0f><a class="title" href="/zht/" data-v-606a7e0f><!--[--><!--]--><!--[--><img class="VPImage logo" src="/mbcp-logo.svg" alt data-v-cc63e071><!--]--><span data-v-606a7e0f>MBCP 文檔</span><!--[--><!--]--></a></div></div><div class="content" data-v-da0688be><div class="content-body" data-v-da0688be><!--[--><!--]--><div class="VPNavBarSearch search" data-v-da0688be><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="打開搜索框"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">搜索文檔</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-da0688be data-v-bf53b681><span id="main-nav-aria-label" class="visually-hidden" data-v-bf53b681> Main Navigation </span><!--[--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/zht/guide/" tabindex="0" data-v-bf53b681 data-v-9a0da802><!--[--><span data-v-9a0da802>指引</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/zht/refer.html" tabindex="0" data-v-bf53b681 data-v-9a0da802><!--[--><span data-v-9a0da802>參考</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/zht/api/" tabindex="0" data-v-bf53b681 data-v-9a0da802><!--[--><span data-v-9a0da802>API引用</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/zht/demo/" tabindex="0" data-v-bf53b681 data-v-9a0da802><!--[--><span data-v-9a0da802>示範</span><!--]--></a><!--]--><!--]--></nav><div class="VPFlyout VPNavBarTranslations translations" data-v-da0688be data-v-912817b1 data-v-00660109><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="Change language" data-v-00660109><span class="text" data-v-00660109><span class="vpi-languages option-icon" data-v-00660109></span><!----><span class="vpi-chevron-down text-icon" data-v-00660109></span></span></button><div class="menu" data-v-00660109><div class="VPMenu" data-v-00660109 data-v-809b8af7><!----><!--[--><!--[--><div class="items" data-v-912817b1><p class="title" data-v-912817b1>繁體中文</p><!--[--><div class="VPMenuLink" data-v-912817b1 data-v-25a54821><a class="VPLink link" href="/api/mp_math/equation.html" data-v-25a54821><!--[-->简体中文<!--]--></a></div><div class="VPMenuLink" data-v-912817b1 data-v-25a54821><a class="VPLink link" href="/en/api/mp_math/equation.html" data-v-25a54821><!--[-->English<!--]--></a></div><div class="VPMenuLink" data-v-912817b1 data-v-25a54821><a class="VPLink link" href="/ja/api/mp_math/equation.html" data-v-25a54821><!--[-->日本語<!--]--></a></div><!--]--></div><!--]--><!--]--></div></div></div><div class="VPNavBarAppearance appearance" data-v-da0688be data-v-864d2abc><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-864d2abc data-v-3125216b data-v-846fe538><span class="check" data-v-846fe538><span class="icon" data-v-846fe538><!--[--><span class="vpi-sun sun" data-v-3125216b></span><span class="vpi-moon moon" data-v-3125216b></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-da0688be data-v-2c606308 data-v-100434c4><!--[--><a class="VPSocialLink no-icon" href="https://github.com/snowykami/mbcp" aria-label="github" target="_blank" rel="noopener" data-v-100434c4 data-v-15a5c40e><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-da0688be data-v-60cefd62 data-v-00660109><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-00660109><span class="vpi-more-horizontal icon" data-v-00660109></span></button><div class="menu" data-v-00660109><div class="VPMenu" data-v-00660109 data-v-809b8af7><!----><!--[--><!--[--><div class="group translations" data-v-60cefd62><p class="trans-title" data-v-60cefd62>繁體中文</p><!--[--><div class="VPMenuLink" data-v-60cefd62 data-v-25a54821><a class="VPLink link" href="/api/mp_math/equation.html" data-v-25a54821><!--[-->简体中文<!--]--></a></div><div class="VPMenuLink" data-v-60cefd62 data-v-25a54821><a class="VPLink link" href="/en/api/mp_math/equation.html" data-v-25a54821><!--[-->English<!--]--></a></div><div class="VPMenuLink" data-v-60cefd62 data-v-25a54821><a class="VPLink link" href="/ja/api/mp_math/equation.html" data-v-25a54821><!--[-->日本語<!--]--></a></div><!--]--></div><div class="group" data-v-60cefd62><div class="item appearance" data-v-60cefd62><p class="label" data-v-60cefd62>Appearance</p><div class="appearance-action" data-v-60cefd62><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-60cefd62 data-v-3125216b data-v-846fe538><span class="check" data-v-846fe538><span class="icon" data-v-846fe538><!--[--><span class="vpi-sun sun" data-v-3125216b></span><span class="vpi-moon moon" data-v-3125216b></span><!--]--></span></span></button></div></div></div><div class="group" data-v-60cefd62><div class="item social-links" data-v-60cefd62><div class="VPSocialLinks social-links-list" data-v-60cefd62 data-v-100434c4><!--[--><a class="VPSocialLink no-icon" href="https://github.com/snowykami/mbcp" aria-label="github" target="_blank" rel="noopener" data-v-100434c4 data-v-15a5c40e><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-da0688be data-v-e047a1f2><span class="container" data-v-e047a1f2><span class="top" data-v-e047a1f2></span><span class="middle" data-v-e047a1f2></span><span class="bottom" data-v-e047a1f2></span></span></button></div></div></div></div><div class="divider" data-v-da0688be><div class="divider-line" data-v-da0688be></div></div></div><!----></header><div class="VPLocalNav has-sidebar empty" data-v-3b4648ff data-v-9c649187><div class="container" data-v-9c649187><button class="menu" aria-expanded="false" aria-controls="VPSidebarNav" data-v-9c649187><span class="vpi-align-left menu-icon" data-v-9c649187></span><span class="menu-text" data-v-9c649187>Menu</span></button><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-9c649187 data-v-9dd5e197><button data-v-9dd5e197>Return to top</button><!----></div></div></div><aside class="VPSidebar" data-v-3b4648ff data-v-59ceefa4><div class="curtain" data-v-59ceefa4></div><nav class="nav" id="VPSidebarNav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-59ceefa4><span class="visually-hidden" id="sidebar-aria-label" data-v-59ceefa4> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-72c67ed4><section class="VPSidebarItem level-0 has-active" data-v-72c67ed4 data-v-a9cdba99><div class="item" role="button" tabindex="0" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><h2 class="text" data-v-a9cdba99>MBCP</h2><!----></div><div class="items" data-v-a9cdba99><!--[--><section class="VPSidebarItem level-1 collapsible has-active" data-v-a9cdba99 data-v-a9cdba99><div class="item" role="button" tabindex="0" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><h3 class="text" data-v-a9cdba99>mp_math</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-a9cdba99><span class="vpi-chevron-right caret-icon" data-v-a9cdba99></span></div></div><div class="items" data-v-a9cdba99><!--[--><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/mp_math/angle.html" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.mp_math.angle</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/mp_math/const.html" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.mp_math.const</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/mp_math/equation.html" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.mp_math.equation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/mp_math/function.html" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.mp_math.function</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/mp_math/" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.mp_math</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/mp_math/line.html" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.mp_math.line</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/mp_math/mp_math_typing.html" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.mp_math.mp_math_typing</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/mp_math/plane.html" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.mp_math.plane</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/mp_math/point.html" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.mp_math.point</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/mp_math/segment.html" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.mp_math.segment</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/mp_math/utils.html" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.mp_math.utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/mp_math/vector.html" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.mp_math.vector</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-1 collapsible collapsed" data-v-a9cdba99 data-v-a9cdba99><div class="item" role="button" tabindex="0" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><h3 class="text" data-v-a9cdba99>particle</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-a9cdba99><span class="vpi-chevron-right caret-icon" data-v-a9cdba99></span></div></div><div class="items" data-v-a9cdba99><!--[--><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/particle/" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.particle</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-1 collapsible collapsed" data-v-a9cdba99 data-v-a9cdba99><div class="item" role="button" tabindex="0" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><h3 class="text" data-v-a9cdba99>presets</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-a9cdba99><span class="vpi-chevron-right caret-icon" data-v-a9cdba99></span></div></div><div class="items" data-v-a9cdba99><!--[--><div class="VPSidebarItem level-2 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/presets/" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.presets</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible collapsed" data-v-a9cdba99 data-v-a9cdba99><div class="item" role="button" tabindex="0" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><h4 class="text" data-v-a9cdba99>model</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-a9cdba99><span class="vpi-chevron-right caret-icon" data-v-a9cdba99></span></div></div><div class="items" data-v-a9cdba99><!--[--><div class="VPSidebarItem level-3 is-link" data-v-a9cdba99 data-v-a9cdba99><div class="item" data-v-a9cdba99><div class="indicator" data-v-a9cdba99></div><a class="VPLink link link" href="/zht/api/presets/model/" data-v-a9cdba99><!--[--><p class="text" data-v-a9cdba99>mbcp.presets.model</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-3b4648ff data-v-fc04087f><div class="VPDoc has-sidebar has-aside" data-v-fc04087f data-v-01c90815><!--[--><!--]--><div class="container" data-v-01c90815><div class="aside" data-v-01c90815><div class="aside-curtain" data-v-01c90815></div><div class="aside-container" data-v-01c90815><div class="aside-content" data-v-01c90815><div class="VPDocAside" data-v-01c90815 data-v-8951c20f><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-8951c20f data-v-d34649dc><div class="content" data-v-d34649dc><div class="outline-marker" data-v-d34649dc></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-d34649dc>頁面內容</div><ul class="VPDocOutlineItem root" data-v-d34649dc data-v-b9c884bb><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-8951c20f></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-01c90815><div class="content-container" data-v-01c90815><!--[--><!--]--><main class="main" data-v-01c90815><div style="position:relative;" class="vp-doc _zht_api_mp_math_equation" data-v-01c90815><div><h1 id="模組-mbcp-mp-math-equation" tabindex="-1"><strong>模組</strong> <code>mbcp.mp_math.equation</code> <a class="header-anchor" href="#模組-mbcp-mp-math-equation" aria-label="Permalink to &quot;**模組** `mbcp.mp_math.equation`&quot;">​</a></h1><p>本模块定义了方程相关的类和函数以及一些常用的数学函数</p><h3 id="class-curveequation" tabindex="-1"><em><strong>class</strong></em> <code>CurveEquation</code> <a class="header-anchor" href="#class-curveequation" aria-label="Permalink to &quot;***class*** `CurveEquation`&quot;">​</a></h3><h4 id="method-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)</code> <a class="header-anchor" href="#method-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" aria-label="Permalink to &quot;***method*** `__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)`&quot;">​</a></h4><p><strong>説明</strong>: 曲线方程。</p><p><strong>變數説明</strong>:</p><blockquote><ul><li>x_func (<a href="./mp_math_typing.html#var-onevarfunc"><code>OneVarFunc</code></a>): x函数</li><li>y_func (<a href="./mp_math_typing.html#var-onevarfunc"><code>OneVarFunc</code></a>): y函数</li><li>z_func (<a href="./mp_math_typing.html#var-onevarfunc"><code>OneVarFunc</code></a>): z函数</li></ul></blockquote><details><summary><b>源碼</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L12" target="_blank">於GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 曲线方程。</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> x_func ([`OneVarFunc`](./mp_math_typing#var-onevarfunc)): x函数</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> y_func ([`OneVarFunc`](./mp_math_typing#var-onevarfunc)): y函数</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> z_func ([`OneVarFunc`](./mp_math_typing#var-onevarfunc)): z函数</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x_func</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y_func</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> z_func</span></span></code></pre></div></details><h4 id="method-call-self-t-var-point3-tuple-point3" tabindex="-1"><em><strong>method</strong></em> <code>__call__(self, *t: Var) -&gt; Point3 | tuple[Point3, ...]</code> <a class="header-anchor" href="#method-call-self-t-var-point3-tuple-point3" aria-label="Permalink to &quot;***method*** `__call__(self, *t: Var) -&gt; Point3 | tuple[Point3, ...]`&quot;">​</a></h4><p><strong>説明</strong>: 计算曲线上的点。</p><p><strong>變數説明</strong>:</p><blockquote><ul><li>*t:</li><li>参数:</li></ul></blockquote><p><strong>返回</strong>: 目标点</p><details><summary><b>源碼</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L24" target="_blank">於GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __call__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">t: Var) -&gt; Point3 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> tuple[Point3, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算曲线上的点。</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> *t:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 参数</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 目标点</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> len</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(t) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]))</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([Point3(x, y, z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, y, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> zip</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func(t))])</span></span></code></pre></div></details><h3 id="func-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" tabindex="-1"><em><strong>func</strong></em> <code>get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -&gt; MultiVarsFunc</code> <a class="header-anchor" href="#func-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" aria-label="Permalink to &quot;***func*** `get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -&gt; MultiVarsFunc`&quot;">​</a></h3><p><strong>説明</strong>: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。</p><div class="warning custom-block github-alert"><p class="custom-block-title">WARNING</p><p>目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升</p></div><p><strong>變數説明</strong>:</p><blockquote><ul><li>func (<a href="./mp_math_typing.html#var-multivarsfunc"><code>MultiVarsFunc</code></a>): N元函数</li><li>var: 变量位置，可为整数(一阶偏导)或整数元组(高阶偏导)</li><li>epsilon: 偏移量</li></ul></blockquote><p><strong>返回</strong>: 偏导函数</p><p><strong>抛出</strong>:</p><blockquote><ul><li>ValueError 无效变量类型</li></ul></blockquote><details><summary><b>源碼</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L42" target="_blank">於GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> get_partial_derivative_func</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(func: MultiVarsFunc, var: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> |</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> tuple[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], epsilon: Number</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">EPSILON</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; MultiVarsFunc:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 求N元函数一阶偏导函数。这玩意不太稳定，慎用。</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &gt; [!warning]</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &gt; 目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> func ([`MultiVarsFunc`](./mp_math_typing#var-multivarsfunc)): N元函数</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> var: 变量位置，可为整数(一阶偏导)或整数元组(高阶偏导)</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon: 偏移量</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 偏导函数</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Raises:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ValueError: 无效变量类型</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(var, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> partial_derivative_func</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args: Var) -&gt; Var:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;@litedoc-hide&quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> args_list_plus </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> list</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(args)</span></span>
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> args_list_plus[var] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span>
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> args_list_minus </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> list</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(args)</span></span>
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> args_list_minus[var] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (func(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args_list_plus) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> func(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args_list_minus)) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon)</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> partial_derivative_func</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(var, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> high_order_partial_derivative_func</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args: Var) -&gt; Var:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> @litedoc-hide</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 求高阶偏导函数</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> *args: 参数</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 高阶偏导数值</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> result_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> func</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> var:</span></span>
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> result_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> get_partial_derivative_func(result_func, v, epsilon)</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> result_func(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args)</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> high_order_partial_derivative_func</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ValueError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Invalid var type&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details></div></div></main><footer class="VPDocFooter" data-v-01c90815 data-v-28deee4a><!--[--><!--]--><div class="edit-info" data-v-28deee4a><div class="edit-link" data-v-28deee4a><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/snowykami/mbcp/tree/main/mbcp//mp_math/equation.py" target="_blank" rel="noreferrer" data-v-28deee4a><!--[--><span class="vpi-square-pen edit-link-icon" data-v-28deee4a></span> 於 GitHub 上編輯這頁<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-28deee4a><span class="visually-hidden" id="doc-footer-aria-label" data-v-28deee4a>Pager</span><div class="pager" data-v-28deee4a><a class="VPLink link pager-link prev" href="/zht/api/mp_math/const.html" data-v-28deee4a><!--[--><span class="desc" data-v-28deee4a>上一頁</span><span class="title" data-v-28deee4a>mbcp.mp_math.const</span><!--]--></a></div><div class="pager" data-v-28deee4a><a class="VPLink link pager-link next" href="/zht/api/mp_math/function.html" data-v-28deee4a><!--[--><span class="desc" data-v-28deee4a>下一頁</span><span class="title" data-v-28deee4a>mbcp.mp_math.function</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-3b4648ff data-v-d69bcf5d><div class="container" data-v-d69bcf5d><p class="message" data-v-d69bcf5d>文檔由 <a href="https://vitepress.dev/">VitePress</a> 構建 | API引用由 <a href="https://github.com/LiteyukiStudio/litedoc">litedoc</a> 生成</p><p class="copyright" data-v-d69bcf5d>Copyright (C) 2020-2024 SnowyKami. All Rights Reserved</p></div></footer><!--[--><!--]--></div></div>
<script>window.__VP_HASH_MAP__=JSON.parse("{\"api_index.md\":\"BO3OGCZm\",\"api_mp_math_angle.md\":\"DXjHPMcZ\",\"api_mp_math_const.md\":\"B_APaY-d\",\"api_mp_math_equation.md\":\"qaTLbds6\",\"api_mp_math_function.md\":\"D6Sk-jUO\",\"api_mp_math_index.md\":\"BfSAi6YB\",\"api_mp_math_line.md\":\"K-HhIsvU\",\"api_mp_math_mp_math_typing.md\":\"D0jHaHho\",\"api_mp_math_plane.md\":\"DQhjzD06\",\"api_mp_math_point.md\":\"NLp_Sg9U\",\"api_mp_math_segment.md\":\"C2PEP6H5\",\"api_mp_math_utils.md\":\"QB0hGGMg\",\"api_mp_math_vector.md\":\"B1Wu6c9G\",\"api_particle_index.md\":\"BnaJlvrB\",\"api_presets_index.md\":\"Cn3tbiU4\",\"api_presets_model_index.md\":\"BH3azKA8\",\"demo_best-practice.md\":\"CmYjfrxd\",\"demo_index.md\":\"CVAdlaFI\",\"en_api_index.md\":\"C0-LRrMB\",\"en_api_mp_math_angle.md\":\"B5tdtBiM\",\"en_api_mp_math_const.md\":\"f-2wQHW5\",\"en_api_mp_math_equation.md\":\"N3oP-7Ua\",\"en_api_mp_math_function.md\":\"BT0NB_1n\",\"en_api_mp_math_index.md\":\"BiDCWhuz\",\"en_api_mp_math_line.md\":\"0bBpZMyn\",\"en_api_mp_math_mp_math_typing.md\":\"A2oAWINP\",\"en_api_mp_math_plane.md\":\"op2OK8nC\",\"en_api_mp_math_point.md\":\"Ba_i7dDC\",\"en_api_mp_math_segment.md\":\"BhIGb9yq\",\"en_api_mp_math_utils.md\":\"Bz-xJhl3\",\"en_api_mp_math_vector.md\":\"DpzqycDg\",\"en_api_particle_index.md\":\"j3_p5KtY\",\"en_api_presets_index.md\":\"Bj8HQN_s\",\"en_api_presets_model_index.md\":\"tRSLY10d\",\"en_demo_best-practice.md\":\"CmtY105n\",\"en_guide_index.md\":\"C3kI8f8A\",\"en_index.md\":\"Cc-Nt9Ot\",\"en_refer_index.md\":\"Cq6GWi0V\",\"guide_index.md\":\"CJOqvlSE\",\"index.md\":\"WVpbC1C1\",\"ja_api_index.md\":\"CGngNEPX\",\"ja_api_mp_math_angle.md\":\"BPpenAm_\",\"ja_api_mp_math_const.md\":\"kKAd6ihV\",\"ja_api_mp_math_equation.md\":\"Cxc2AyGq\",\"ja_api_mp_math_function.md\":\"zcK7s9-C\",\"ja_api_mp_math_index.md\":\"BCReRKfD\",\"ja_api_mp_math_line.md\":\"BUEG7Qno\",\"ja_api_mp_math_mp_math_typing.md\":\"CzEPV5Ep\",\"ja_api_mp_math_plane.md\":\"D8ltDTI9\",\"ja_api_mp_math_point.md\":\"Bj_wyaCj\",\"ja_api_mp_math_segment.md\":\"hBKUntDs\",\"ja_api_mp_math_utils.md\":\"DdrbPY-j\",\"ja_api_mp_math_vector.md\":\"D_iXI2nw\",\"ja_api_particle_index.md\":\"CW1rqarC\",\"ja_api_presets_index.md\":\"BFc_PfJb\",\"ja_api_presets_model_index.md\":\"BqEjZ7IY\",\"ja_demo_best-practice.md\":\"CBHiF6ec\",\"ja_guide_index.md\":\"w1Tf2Adm\",\"ja_index.md\":\"BvjV8RIJ\",\"ja_refer_index.md\":\"DamUscs8\",\"refer_function_curry.md\":\"D_oqRDd3\",\"refer_function_function.md\":\"Bi_82lIJ\",\"refer_index.md\":\"yFZW0kI4\",\"zht_api_index.md\":\"Bh7ICG6U\",\"zht_api_mp_math_angle.md\":\"mmecNIJM\",\"zht_api_mp_math_const.md\":\"D9eBwcNw\",\"zht_api_mp_math_equation.md\":\"B00IWO_d\",\"zht_api_mp_math_function.md\":\"BnUerglv\",\"zht_api_mp_math_index.md\":\"DVqLRZhm\",\"zht_api_mp_math_line.md\":\"Dg3ji_dG\",\"zht_api_mp_math_mp_math_typing.md\":\"DWzRfFJe\",\"zht_api_mp_math_plane.md\":\"C-9IgWh_\",\"zht_api_mp_math_point.md\":\"vFMEEeVu\",\"zht_api_mp_math_segment.md\":\"BuDHbwYP\",\"zht_api_mp_math_utils.md\":\"DvxTZy5j\",\"zht_api_mp_math_vector.md\":\"hAG56fdm\",\"zht_api_particle_index.md\":\"bdouG1sk\",\"zht_api_presets_index.md\":\"9wdPAkKN\",\"zht_api_presets_model_index.md\":\"CyrJscBT\",\"zht_demo_best-practice.md\":\"CPNbD_Lg\",\"zht_guide_index.md\":\"BNnMViC8\",\"zht_index.md\":\"fkOYkZZe\",\"zht_refer_index.md\":\"B7CQS2UW\"}");function deserializeFunctions(r){return Array.isArray(r)?r.map(deserializeFunctions):typeof r=="object"&&r!==null?Object.keys(r).reduce((t,n)=>(t[n]=deserializeFunctions(r[n]),t),{}):typeof r=="string"&&r.startsWith("_vp-fn_")?new Function(`return ${r.slice(7)}`)():r};window.__VP_SITE_DATA__=deserializeFunctions(JSON.parse("{\"lang\":\"en-US\",\"dir\":\"ltr\",\"title\":\"VitePress\",\"description\":\"A VitePress site\",\"base\":\"/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"logo\":\"/mbcp-logo.svg\",\"sidebar\":{\"/api/\":{\"base\":\"/api/\",\"items\":[{\"text\":\"MBCP\",\"items\":[{\"text\":\"mp_math\",\"items\":[{\"text\":\"mbcp.mp_math.angle\",\"link\":\"mp_math/angle\"},{\"text\":\"mbcp.mp_math.const\",\"link\":\"mp_math/const\"},{\"text\":\"mbcp.mp_math.equation\",\"link\":\"mp_math/equation\"},{\"text\":\"mbcp.mp_math.function\",\"link\":\"mp_math/function\"},{\"text\":\"mbcp.mp_math\",\"link\":\"mp_math/\"},{\"text\":\"mbcp.mp_math.line\",\"link\":\"mp_math/line\"},{\"text\":\"mbcp.mp_math.mp_math_typing\",\"link\":\"mp_math/mp_math_typing\"},{\"text\":\"mbcp.mp_math.plane\",\"link\":\"mp_math/plane\"},{\"text\":\"mbcp.mp_math.point\",\"link\":\"mp_math/point\"},{\"text\":\"mbcp.mp_math.segment\",\"link\":\"mp_math/segment\"},{\"text\":\"mbcp.mp_math.utils\",\"link\":\"mp_math/utils\"},{\"text\":\"mbcp.mp_math.vector\",\"link\":\"mp_math/vector\"}],\"collapsed\":true},{\"text\":\"particle\",\"items\":[{\"text\":\"mbcp.particle\",\"link\":\"particle/\"}],\"collapsed\":true},{\"text\":\"presets\",\"items\":[{\"text\":\"mbcp.presets\",\"link\":\"presets/\"},{\"text\":\"model\",\"items\":[{\"text\":\"mbcp.presets.model\",\"link\":\"presets/model/\"}],\"collapsed\":true}],\"collapsed\":true}]}]},\"/refer/\":{\"base\":\"/refer/\",\"items\":[{\"text\":\"MBCP\",\"items\":[{\"text\":\"函数\",\"link\":\"function/function\",\"items\":[{\"text\":\"柯里化\",\"link\":\"function/curry\"}],\"collapsed\":true}]}]},\"/guide/\":{\"base\":\"/guide/\",\"items\":[{\"text\":\"MBCP\",\"items\":[]}]},\"/en/api/\":{\"base\":\"/en/api/\",\"items\":[{\"text\":\"MBCP\",\"items\":[{\"text\":\"mp_math\",\"items\":[{\"text\":\"mbcp.mp_math.angle\",\"link\":\"mp_math/angle\"},{\"text\":\"mbcp.mp_math.const\",\"link\":\"mp_math/const\"},{\"text\":\"mbcp.mp_math.equation\",\"link\":\"mp_math/equation\"},{\"text\":\"mbcp.mp_math.function\",\"link\":\"mp_math/function\"},{\"text\":\"mbcp.mp_math\",\"link\":\"mp_math/\"},{\"text\":\"mbcp.mp_math.line\",\"link\":\"mp_math/line\"},{\"text\":\"mbcp.mp_math.mp_math_typing\",\"link\":\"mp_math/mp_math_typing\"},{\"text\":\"mbcp.mp_math.plane\",\"link\":\"mp_math/plane\"},{\"text\":\"mbcp.mp_math.point\",\"link\":\"mp_math/point\"},{\"text\":\"mbcp.mp_math.segment\",\"link\":\"mp_math/segment\"},{\"text\":\"mbcp.mp_math.utils\",\"link\":\"mp_math/utils\"},{\"text\":\"mbcp.mp_math.vector\",\"link\":\"mp_math/vector\"}],\"collapsed\":true},{\"text\":\"particle\",\"items\":[{\"text\":\"mbcp.particle\",\"link\":\"particle/\"}],\"collapsed\":true},{\"text\":\"presets\",\"items\":[{\"text\":\"mbcp.presets\",\"link\":\"presets/\"},{\"text\":\"model\",\"items\":[{\"text\":\"mbcp.presets.model\",\"link\":\"presets/model/\"}],\"collapsed\":true}],\"collapsed\":true}]}]},\"/en/refer/\":{\"base\":\"/en/refer/\",\"items\":[{\"text\":\"MBCP\",\"items\":[]}]},\"/en/guide/\":{\"base\":\"/en/guide/\",\"items\":[{\"text\":\"MBCP\",\"items\":[]}]},\"/ja/api/\":{\"base\":\"/ja/api/\",\"items\":[{\"text\":\"MBCP\",\"items\":[{\"text\":\"mp_math\",\"items\":[{\"text\":\"mbcp.mp_math.angle\",\"link\":\"mp_math/angle\"},{\"text\":\"mbcp.mp_math.const\",\"link\":\"mp_math/const\"},{\"text\":\"mbcp.mp_math.equation\",\"link\":\"mp_math/equation\"},{\"text\":\"mbcp.mp_math.function\",\"link\":\"mp_math/function\"},{\"text\":\"mbcp.mp_math\",\"link\":\"mp_math/\"},{\"text\":\"mbcp.mp_math.line\",\"link\":\"mp_math/line\"},{\"text\":\"mbcp.mp_math.mp_math_typing\",\"link\":\"mp_math/mp_math_typing\"},{\"text\":\"mbcp.mp_math.plane\",\"link\":\"mp_math/plane\"},{\"text\":\"mbcp.mp_math.point\",\"link\":\"mp_math/point\"},{\"text\":\"mbcp.mp_math.segment\",\"link\":\"mp_math/segment\"},{\"text\":\"mbcp.mp_math.utils\",\"link\":\"mp_math/utils\"},{\"text\":\"mbcp.mp_math.vector\",\"link\":\"mp_math/vector\"}],\"collapsed\":true},{\"text\":\"particle\",\"items\":[{\"text\":\"mbcp.particle\",\"link\":\"particle/\"}],\"collapsed\":true},{\"text\":\"presets\",\"items\":[{\"text\":\"mbcp.presets\",\"link\":\"presets/\"},{\"text\":\"model\",\"items\":[{\"text\":\"mbcp.presets.model\",\"link\":\"presets/model/\"}],\"collapsed\":true}],\"collapsed\":true}]}]},\"/ja/refer/\":{\"base\":\"/ja/refer/\",\"items\":[{\"text\":\"MBCP\",\"items\":[]}]},\"/ja/guide/\":{\"base\":\"/ja/guide/\",\"items\":[{\"text\":\"MBCP\",\"items\":[]}]},\"/zht/api/\":{\"base\":\"/zht/api/\",\"items\":[{\"text\":\"MBCP\",\"items\":[{\"text\":\"mp_math\",\"items\":[{\"text\":\"mbcp.mp_math.angle\",\"link\":\"mp_math/angle\"},{\"text\":\"mbcp.mp_math.const\",\"link\":\"mp_math/const\"},{\"text\":\"mbcp.mp_math.equation\",\"link\":\"mp_math/equation\"},{\"text\":\"mbcp.mp_math.function\",\"link\":\"mp_math/function\"},{\"text\":\"mbcp.mp_math\",\"link\":\"mp_math/\"},{\"text\":\"mbcp.mp_math.line\",\"link\":\"mp_math/line\"},{\"text\":\"mbcp.mp_math.mp_math_typing\",\"link\":\"mp_math/mp_math_typing\"},{\"text\":\"mbcp.mp_math.plane\",\"link\":\"mp_math/plane\"},{\"text\":\"mbcp.mp_math.point\",\"link\":\"mp_math/point\"},{\"text\":\"mbcp.mp_math.segment\",\"link\":\"mp_math/segment\"},{\"text\":\"mbcp.mp_math.utils\",\"link\":\"mp_math/utils\"},{\"text\":\"mbcp.mp_math.vector\",\"link\":\"mp_math/vector\"}],\"collapsed\":true},{\"text\":\"particle\",\"items\":[{\"text\":\"mbcp.particle\",\"link\":\"particle/\"}],\"collapsed\":true},{\"text\":\"presets\",\"items\":[{\"text\":\"mbcp.presets\",\"link\":\"presets/\"},{\"text\":\"model\",\"items\":[{\"text\":\"mbcp.presets.model\",\"link\":\"presets/model/\"}],\"collapsed\":true}],\"collapsed\":true}]}]},\"/zht/refer/\":{\"base\":\"/zht/refer/\",\"items\":[{\"text\":\"MBCP\",\"items\":[]}]},\"/zht/guide/\":{\"base\":\"/zht/guide/\",\"items\":[{\"text\":\"MBCP\",\"items\":[]}]}},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/snowykami/mbcp\"}],\"search\":{\"provider\":\"local\",\"options\":{\"locales\":{\"root\":{\"translations\":{\"button\":{\"buttonText\":\"搜索文档\",\"buttonAriaLabel\":\"打开搜索框\"},\"modal\":{\"noResultsText\":\"没有找到搜索结果\",\"resetButtonTitle\":\"清除查询条件\",\"footer\":{\"selectText\":\"选择\",\"navigateText\":\"切换\"}}}},\"en\":{\"translations\":{\"button\":{\"buttonText\":\"Search\",\"buttonAriaLabel\":\"Search\"},\"modal\":{\"noResultsText\":\"No results found\",\"resetButtonTitle\":\"Reset search query\",\"footer\":{\"selectText\":\"Select\",\"navigateText\":\"Navigate\"}}}},\"zht\":{\"translations\":{\"button\":{\"buttonText\":\"搜索文檔\",\"buttonAriaLabel\":\"打開搜索框\"},\"modal\":{\"noResultsText\":\"沒有找到搜索結果\",\"resetButtonTitle\":\"清除查詢條件\",\"footer\":{\"selectText\":\"選擇\",\"navigateText\":\"切換\"}}}},\"ja\":{\"translations\":{\"button\":{\"buttonText\":\"検索\",\"buttonAriaLabel\":\"検索を開く\"},\"modal\":{\"noResultsText\":\"検索結果が見つかりません\",\"resetButtonTitle\":\"リセット\",\"footer\":{\"selectText\":\"選択\",\"navigateText\":\"移動\"}}}}}}}},\"locales\":{\"root\":{\"label\":\"简体中文\",\"lang\":\"zh-Hans\",\"title\":\"MBCP 文档\",\"description\":\"MBCP 粒子计算和生成库文档\",\"themeConfig\":{\"nav\":[{\"text\":\"快速开始\",\"link\":\"/guide/\"},{\"text\":\"参考\",\"link\":\"/refer\"},{\"text\":\"API引用\",\"link\":\"/api/\"},{\"text\":\"实例\",\"link\":\"/demo/\"}],\"docFooter\":{\"prev\":\"上一页\",\"next\":\"下一页\"},\"editLink\":{\"pattern\":\"_vp-fn_({ filePath }) => {\\n const regex = /^[^\\\\/]+\\\\/api/;\\n if (regex.test(filePath)) {\\n filePath = filePath.replace(regex, \\\"\\\").replace(\\\"index.md\\\", \\\"__init__.py\\\").replace(\\\".md\\\", \\\".py\\\");\\n if (filePath.split(\\\"/\\\").pop().split(\\\".\\\")[0] === filePath.split(\\\"/\\\").slice(-2, -1)[0]) {\\n filePath = filePath.split(\\\"/\\\").slice(0, -1).join(\\\"/\\\") + \\\"/__init__.py\\\";\\n }\\n return `https://github.com/snowykami/mbcp/tree/main/mbcp/${filePath}`;\\n } else {\\n return `https://github.com/snowykami/mbcp/tree/main/docs/${filePath}`;\\n }\\n }\",\"text\":\"在 GitHub 上编辑此页\"},\"footer\":{\"message\":\"文档由 <a href=\\\"https://vitepress.dev/\\\">VitePress</a> 构建 | API引用由 <a href=\\\"https://github.com/LiteyukiStudio/litedoc\\\">litedoc</a> 生成\",\"copyright\":\"Copyright (C) 2020-2024 SnowyKami. All Rights Reserved\"},\"outline\":{\"label\":\"页面内容\",\"level\":[2,6]}}},\"en\":{\"label\":\"English\",\"lang\":\"en-US\",\"title\":\"MBCP docs\",\"description\":\"MBCP library docs\",\"themeConfig\":{\"nav\":[{\"text\":\"Get Start\",\"link\":\"/en/guide/\"},{\"text\":\"Reference\",\"link\":\"/en/refer\"},{\"text\":\"API Reference\",\"link\":\"/en/api/\"},{\"text\":\"Demo\",\"link\":\"/en/demo/\"}],\"docFooter\":{\"prev\":\"Prev Page\",\"next\":\"Next Page\"},\"editLink\":{\"pattern\":\"_vp-fn_({ filePath }) => {\\n const regex = /^[^\\\\/]+\\\\/api/;\\n if (regex.test(filePath)) {\\n filePath = filePath.replace(regex, \\\"\\\").replace(\\\"index.md\\\", \\\"__init__.py\\\").replace(\\\".md\\\", \\\".py\\\");\\n if (filePath.split(\\\"/\\\").pop().split(\\\".\\\")[0] === filePath.split(\\\"/\\\").slice(-2, -1)[0]) {\\n filePath = filePath.split(\\\"/\\\").slice(0, -1).join(\\\"/\\\") + \\\"/__init__.py\\\";\\n }\\n return `https://github.com/snowykami/mbcp/tree/main/mbcp/${filePath}`;\\n } else {\\n return `https://github.com/snowykami/mbcp/tree/main/docs/${filePath}`;\\n }\\n }\",\"text\":\"Edit this page on GitHub\"},\"footer\":{\"message\":\"Documentation built with <a href=\\\"https://vitepress.dev/\\\">VitePress</a> | API references generated by <a href=\\\"https://github.com/LiteyukiStudio/litedoc\\\">litedoc</a>\",\"copyright\":\"Copyright (C) 2020-2024 SnowyKami. All Rights Reserved\"},\"outline\":{\"label\":\"Page Content\",\"level\":[2,6]}}},\"ja\":{\"label\":\"日本語\",\"lang\":\"ja-JP\",\"title\":\"MBCP ドキュメント\",\"description\":\"MBCP ライブラリ ドキュメント\",\"themeConfig\":{\"nav\":[{\"text\":\"スタート\",\"link\":\"/ja/guide/\"},{\"text\":\"リファレンス\",\"link\":\"/ja/refer\"},{\"text\":\"APIリファレンス\",\"link\":\"/ja/api/\"},{\"text\":\"インスタンス\",\"link\":\"/ja/demo/\"}],\"docFooter\":{\"prev\":\"前のページ\",\"next\":\"次のページ\"},\"editLink\":{\"pattern\":\"_vp-fn_({ filePath }) => {\\n const regex = /^[^\\\\/]+\\\\/api/;\\n if (regex.test(filePath)) {\\n filePath = filePath.replace(regex, \\\"\\\").replace(\\\"index.md\\\", \\\"__init__.py\\\").replace(\\\".md\\\", \\\".py\\\");\\n if (filePath.split(\\\"/\\\").pop().split(\\\".\\\")[0] === filePath.split(\\\"/\\\").slice(-2, -1)[0]) {\\n filePath = filePath.split(\\\"/\\\").slice(0, -1).join(\\\"/\\\") + \\\"/__init__.py\\\";\\n }\\n return `https://github.com/snowykami/mbcp/tree/main/mbcp/${filePath}`;\\n } else {\\n return `https://github.com/snowykami/mbcp/tree/main/docs/${filePath}`;\\n }\\n }\",\"text\":\"このページをGitHubで編集する\"},\"footer\":{\"message\":\"<a href=\\\"https://vitepress.dev/\\\">VitePress</a> で構築されたドキュメント | <a href=\\\"https://github.com/LiteyukiStudio/litedoc\\\">litedoc</a> によって生成されたAPIリファレンス\",\"copyright\":\"Copyright (C) 2020-2024 SnowyKami. All Rights Reserved\"},\"outline\":{\"label\":\"ページの内容\",\"level\":[2,6]}}},\"zht\":{\"label\":\"繁體中文\",\"lang\":\"zh-Hant\",\"title\":\"MBCP 文檔\",\"description\":\"MBCP 粒子計算和生成庫文檔\",\"themeConfig\":{\"nav\":[{\"text\":\"指引\",\"link\":\"/zht/guide/\"},{\"text\":\"參考\",\"link\":\"/zht/refer\"},{\"text\":\"API引用\",\"link\":\"/zht/api/\"},{\"text\":\"示範\",\"link\":\"/zht/demo/\"}],\"docFooter\":{\"prev\":\"上一頁\",\"next\":\"下一頁\"},\"editLink\":{\"pattern\":\"_vp-fn_({ filePath }) => {\\n const regex = /^[^\\\\/]+\\\\/api/;\\n if (regex.test(filePath)) {\\n filePath = filePath.replace(regex, \\\"\\\").replace(\\\"index.md\\\", \\\"__init__.py\\\").replace(\\\".md\\\", \\\".py\\\");\\n if (filePath.split(\\\"/\\\").pop().split(\\\".\\\")[0] === filePath.split(\\\"/\\\").slice(-2, -1)[0]) {\\n filePath = filePath.split(\\\"/\\\").slice(0, -1).join(\\\"/\\\") + \\\"/__init__.py\\\";\\n }\\n return `https://github.com/snowykami/mbcp/tree/main/mbcp/${filePath}`;\\n } else {\\n return `https://github.com/snowykami/mbcp/tree/main/docs/${filePath}`;\\n }\\n }\",\"text\":\"於 GitHub 上編輯這頁\"},\"footer\":{\"message\":\"文檔由 <a href=\\\"https://vitepress.dev/\\\">VitePress</a> 構建 | API引用由 <a href=\\\"https://github.com/LiteyukiStudio/litedoc\\\">litedoc</a> 生成\",\"copyright\":\"Copyright (C) 2020-2024 SnowyKami. All Rights Reserved\"},\"outline\":{\"label\":\"頁面內容\",\"level\":[2,6]}}}},\"scrollOffset\":134,\"cleanUrls\":false}"));</script>
</body>
</html>
Reference in New Issue View Git Blame Copy Permalink