snowykami/mbcp
1
0
Fork 0
mirror of https://github.com/snowykami/mbcp.git synced 2024-11-27 08:45:03 +08:00
Code Issues Actions Packages Projects Releases Wiki Activity
7d5136952b
mbcp/en/api/mp_math/vector.html

221 lines
120 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="en-US" dir="ltr">
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width,initial-scale=1">
<title>mbcp.mp_math.vector | MBCP docs</title>
<meta name="description" content="MBCP library docs">
<meta name="generator" content="VitePress v1.3.4">
<link rel="preload stylesheet" href="/assets/style.Bh0M9mVm.css" as="style">
<script type="module" src="/assets/app.B5pcS0RV.js"></script>
<link rel="modulepreload" href="/assets/chunks/theme.ClwrcgHO.js">
<link rel="modulepreload" href="/assets/chunks/framework.DpC1ZpOZ.js">
<link rel="modulepreload" href="/assets/en_api_mp_math_vector.md.CPGkZzwr.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="/en/" data-v-606a7e0f><!--[--><!--]--><!--[--><img class="VPImage logo" src="/mbcp-logo.svg" alt data-v-cc63e071><!--]--><span data-v-606a7e0f>MBCP docs</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="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</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="/en/guide/" tabindex="0" data-v-bf53b681 data-v-9a0da802><!--[--><span data-v-9a0da802>Get Start</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/en/refer.html" tabindex="0" data-v-bf53b681 data-v-9a0da802><!--[--><span data-v-9a0da802>Reference</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/en/api/" tabindex="0" data-v-bf53b681 data-v-9a0da802><!--[--><span data-v-9a0da802>API Reference</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/en/demo/" tabindex="0" data-v-bf53b681 data-v-9a0da802><!--[--><span data-v-9a0da802>Demo</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>English</p><!--[--><div class="VPMenuLink" data-v-912817b1 data-v-25a54821><a class="VPLink link" href="/api/mp_math/vector.html" data-v-25a54821><!--[-->简体中文<!--]--></a></div><div class="VPMenuLink" data-v-912817b1 data-v-25a54821><a class="VPLink link" href="/ja/api/mp_math/vector.html" data-v-25a54821><!--[-->日本語<!--]--></a></div><div class="VPMenuLink" data-v-912817b1 data-v-25a54821><a class="VPLink link" href="/zht/api/mp_math/vector.html" data-v-25a54821><!--[-->繁體中文<!--]--></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>English</p><!--[--><div class="VPMenuLink" data-v-60cefd62 data-v-25a54821><a class="VPLink link" href="/api/mp_math/vector.html" data-v-25a54821><!--[-->简体中文<!--]--></a></div><div class="VPMenuLink" data-v-60cefd62 data-v-25a54821><a class="VPLink link" href="/ja/api/mp_math/vector.html" data-v-25a54821><!--[-->日本語<!--]--></a></div><div class="VPMenuLink" data-v-60cefd62 data-v-25a54821><a class="VPLink link" href="/zht/api/mp_math/vector.html" data-v-25a54821><!--[-->繁體中文<!--]--></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="/en/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="/en/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="/en/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="/en/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="/en/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="/en/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="/en/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="/en/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="/en/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="/en/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="/en/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="/en/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="/en/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="/en/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="/en/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>Page Content</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 _en_api_mp_math_vector" data-v-01c90815><div><h1 id="mbcp-mp-math-vector" tabindex="-1">mbcp.mp_math.vector <a class="header-anchor" href="#mbcp-mp-math-vector" aria-label="Permalink to &quot;mbcp.mp_math.vector&quot;">​</a></h1><p>本模块定义了3维向量的类Vector3，以及一些常用的向量。</p><h3 id="class-vector3" tabindex="-1"><em><strong>class</strong></em> <code>Vector3</code> <a class="header-anchor" href="#class-vector3" aria-label="Permalink to &quot;***class*** `Vector3`&quot;">​</a></h3><h4 id="method-init-self-x-float-y-float-z-float" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, x: float, y: float, z: float)</code> <a class="header-anchor" href="#method-init-self-x-float-y-float-z-float" aria-label="Permalink to &quot;***method*** `__init__(self, x: float, y: float, z: float)`&quot;">​</a></h4><p><strong>Description</strong>: 3维向量</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>x (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): x轴分量</li><li>y (<code>float</code>): y轴分量</li><li>z (<code>float</code>): z轴分量</li></ul></blockquote><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L18" target="_blank">View on GitHub</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: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, y: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, z: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</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;"> 3维向量</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 ([`float`](https%3A//docs.python.org/3/library/functions.html#float)): x轴分量</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> y (`float`): y轴分量</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> z (`float`): z轴分量</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 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> z</span></span></code></pre></div></details><h4 id="method-approx-self-other-vector3-epsilon-float-approx-bool" tabindex="-1"><em><strong>method</strong></em> <code>approx(self, other: Vector3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#method-approx-self-other-vector3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***method*** `approx(self, other: Vector3, epsilon: float = APPROX) -&gt; bool`&quot;">​</a></h4><p><strong>Description</strong>: 判断两个向量是否近似相等。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li><li>epsilon (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 误差</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似相等</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L30" target="_blank">View on GitHub</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;"> approx</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</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;"> 判断两个向量是否近似相等。</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;"> other ([`Vector3`](#class-vector3)): 另一个向量</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon ([`float`](https%3A//docs.python.org/3/library/functions.html#float)): 误差</span></span>
<span class="line"></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;"> [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否近似相等</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;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> all</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</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 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</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 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</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 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon])</span></span></code></pre></div></details><h4 id="method-cal-angle-self-other-vector3-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>cal_angle(self, other: Vector3) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-cal-angle-self-other-vector3-anyangle" aria-label="Permalink to &quot;***method*** `cal_angle(self, other: Vector3) -&gt; AnyAngle`&quot;">​</a></h4><p><strong>Description</strong>: 计算两个向量之间的夹角。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>Return</strong>: <a href="./angle.html#class-anyangle"><code>AnyAngle</code></a>: 夹角</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L42" target="_blank">View on GitHub</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;"> cal_angle</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</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;"> 计算两个向量之间的夹角。</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;"> other ([`Vector3`](#class-vector3)): 另一个向量</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;"> [`AnyAngle`](./angle#class-anyangle): 夹角</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;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(math.acos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> @</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other </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;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.length)), </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="method-cross-self-other-vector3-vector3" tabindex="-1"><em><strong>method</strong></em> <code>cross(self, other: Vector3) -&gt; Vector3</code> <a class="header-anchor" href="#method-cross-self-other-vector3-vector3" aria-label="Permalink to &quot;***method*** `cross(self, other: Vector3) -&gt; Vector3`&quot;">​</a></h4><p><strong>Description</strong>: 向量积 叉乘：v1 cross v2 -&gt; v3</p><p>叉乘为0，则两向量平行。 其余结果的模为平行四边形的面积。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>Return</strong>: <a href="#class-vector3"><code>Vector3</code></a>: 叉乘结果</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L52" target="_blank">View on GitHub</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;"> cross</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</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;"> 向量积 叉乘：v1 cross v2 -&gt; v3</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 叉乘为0，则两向量平行。</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 其余结果的模为平行四边形的面积。</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 返回如下行列式的结果：</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ``i j k``</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ``x1 y1 z1``</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ``x2 y2 z2``</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;"> other ([`Vector3`](#class-vector3)): 另一个向量</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;"> [`Vector3`](#class-vector3): 叉乘结果</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;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x)</span></span></code></pre></div></details><h4 id="method-is-approx-parallel-self-other-vector3-epsilon-float-approx-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#method-is-approx-parallel-self-other-vector3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***method*** `is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -&gt; bool`&quot;">​</a></h4><p><strong>Description</strong>: 判断两个向量是否近似平行。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li><li>epsilon (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 误差</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似平行</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L76" target="_blank">View on GitHub</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;"> is_approx_parallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</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;"> 判断两个向量是否近似平行。</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;"> other ([`Vector3`](#class-vector3)): 另一个向量</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon ([`float`](https%3A//docs.python.org/3/library/functions.html#float)): 误差</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;"> [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否近似平行</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;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cross(other).length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span></code></pre></div></details><h4 id="method-is-parallel-self-other-vector3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_parallel(self, other: Vector3) -&gt; bool</code> <a class="header-anchor" href="#method-is-parallel-self-other-vector3-bool" aria-label="Permalink to &quot;***method*** `is_parallel(self, other: Vector3) -&gt; bool`&quot;">​</a></h4><p><strong>Description</strong>: 判断两个向量是否平行。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否平行</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L87" target="_blank">View on GitHub</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;"> is_parallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</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;"> 判断两个向量是否平行。</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;"> other ([`Vector3`](#class-vector3)): 另一个向量</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;"> [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否平行</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;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cross(other).approx(zero_vector3)</span></span></code></pre></div></details><h4 id="method-normalize-self" tabindex="-1"><em><strong>method</strong></em> <code>normalize(self)</code> <a class="header-anchor" href="#method-normalize-self" aria-label="Permalink to &quot;***method*** `normalize(self)`&quot;">​</a></h4><p><strong>Description</strong>: 将向量归一化。</p><p>自体归一化，不返回值。</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L97" target="_blank">View on GitHub</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;"> normalize</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</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;"> 将向量归一化。</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 自体归一化，不返回值。</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;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-np-array-self-np-ndarray" tabindex="-1"><em><strong>method</strong></em> <code>np_array(self) -&gt; np.ndarray</code> <a class="header-anchor" href="#method-np-array-self-np-ndarray" aria-label="Permalink to &quot;***method*** `np_array(self) -&gt; np.ndarray`&quot;">​</a></h4><p><strong>Return</strong>: <a href="https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html" target="_blank" rel="noreferrer"><code>np.ndarray</code></a>: numpy数组</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L109" target="_blank">View on GitHub</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:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> np_array</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;np.ndarray&#39;</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;"> 返回numpy数组</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;"> [`np.ndarray`](https%3A//numpy.org/doc/stable/reference/generated/numpy.ndarray.html): numpy数组</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;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z])</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-length-self-float" tabindex="-1"><em><strong>method</strong></em> <code>length(self) -&gt; float</code> <a class="header-anchor" href="#method-length-self-float" aria-label="Permalink to &quot;***method*** `length(self) -&gt; float`&quot;">​</a></h4><p><strong>Description</strong>: 向量的模。</p><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>: 模</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L119" target="_blank">View on GitHub</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:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> length</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</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;"> 向量的模。</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;"> [`float`](https%3A//docs.python.org/3/library/functions.html#float): 模</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;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.sqrt(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-unit-self-vector3" tabindex="-1"><em><strong>method</strong></em> <code>unit(self) -&gt; Vector3</code> <a class="header-anchor" href="#method-unit-self-vector3" aria-label="Permalink to &quot;***method*** `unit(self) -&gt; Vector3`&quot;">​</a></h4><p><strong>Description</strong>: 获取该向量的单位向量。</p><p><strong>Return</strong>: <a href="#class-vector3"><code>Vector3</code></a>: 单位向量</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L128" target="_blank">View on GitHub</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:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> unit</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</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;"> 获取该向量的单位向量。</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;"> [`Vector3`](#class-vector3): 单位向量</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;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span></code></pre></div></details><h4 id="method-abs-self" tabindex="-1"><em><strong>method</strong></em> <code>__abs__(self)</code> <a class="header-anchor" href="#method-abs-self" aria-label="Permalink to &quot;***method*** `__abs__(self)`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L136" target="_blank">View on GitHub</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;"> __abs__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-vector3-vector3" tabindex="-1"><em><strong>method</strong></em> <code>self + other: Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-vector3-vector3" aria-label="Permalink to &quot;***method*** `self + other: Vector3 =&gt; Vector3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L140" target="_blank">View on GitHub</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:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-point3-point3" tabindex="-1"><em><strong>method</strong></em> <code>self + other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#method-self-other-point3-point3" aria-label="Permalink to &quot;***method*** `self + other: Point3 =&gt; Point3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L144" target="_blank">View on GitHub</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:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h4 id="method-self-other" tabindex="-1"><em><strong>method</strong></em> <code>self + other</code> <a class="header-anchor" href="#method-self-other" aria-label="Permalink to &quot;***method*** `self + other`&quot;">​</a></h4><p><strong>Description</strong>: V + P -&gt; P</p><p>V + V -&gt; V</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>): 另一个向量或点</li></ul></blockquote><p><strong>Return</strong>: <a href="#class-vector3"><code>Vector3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>: 新的向量或点</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L147" target="_blank">View on GitHub</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;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</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;"> V + P -&gt; P</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> V + V -&gt; V</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;"> other ([`Vector3`](#class-vector3) | [`Point3`](./point#class-point3)): 另一个向量或点</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;"> [`Vector3`](#class-vector3) | [`Point3`](./point#class-point3): 新的向量或点</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;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Vector3):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</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;">(other, Point3):</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 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</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;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for +: &#39;Vector3&#39; and &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="method-eq-self-other" tabindex="-1"><em><strong>method</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#method-eq-self-other" aria-label="Permalink to &quot;***method*** `__eq__(self, other)`&quot;">​</a></h4><p><strong>Description</strong>: 判断两个向量是否相等。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否相等</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L163" target="_blank">View on GitHub</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;"> __eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</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;"> 判断两个向量是否相等。</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;"> other ([`Vector3`](#class-vector3)): 另一个向量</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;"> [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否相等</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;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, other.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, other.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z, other.z)</span></span></code></pre></div></details><h4 id="method-self-other-point3-point3-1" tabindex="-1"><em><strong>method</strong></em> <code>self + other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#method-self-other-point3-point3-1" aria-label="Permalink to &quot;***method*** `self + other: Point3 =&gt; Point3`&quot;">​</a></h4><p><strong>Description</strong>: P + V -&gt; P</p><p>别去点那边实现了。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="./point.html#class-point3"><code>Point3</code></a>): 另一个点</li></ul></blockquote><p><strong>Return</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 新的点</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L173" target="_blank">View on GitHub</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;"> __radd__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</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;"> P + V -&gt; P</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 别去点那边实现了。</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;"> other ([`Point3`](./point#class-point3)): 另一个点</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;"> [`Point3`](./point#class-point3): 新的点</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;"> 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 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-vector3-vector3-1" tabindex="-1"><em><strong>method</strong></em> <code>self - other: Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-vector3-vector3-1" aria-label="Permalink to &quot;***method*** `self - other: Vector3 =&gt; Vector3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L185" target="_blank">View on GitHub</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:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-point3-point3-2" tabindex="-1"><em><strong>method</strong></em> <code>self - other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#method-self-other-point3-point3-2" aria-label="Permalink to &quot;***method*** `self - other: Point3 =&gt; Point3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L189" target="_blank">View on GitHub</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:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h4 id="method-self-other-1" tabindex="-1"><em><strong>method</strong></em> <code>self - other</code> <a class="header-anchor" href="#method-self-other-1" aria-label="Permalink to &quot;***method*** `self - other`&quot;">​</a></h4><p><strong>Description</strong>: V - P -&gt; P</p><p>V - V -&gt; V</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>): 另一个向量或点</li></ul></blockquote><p><strong>Return</strong>: <a href="#class-vector3"><code>Vector3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>: 新的向量</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L192" target="_blank">View on GitHub</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;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</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;"> V - P -&gt; P</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> V - V -&gt; V</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;"> other ([`Vector3`](#class-vector3) | [`Point3`](./point#class-point3)): 另一个向量或点</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;"> [`Vector3`](#class-vector3) | [`Point3`](./point#class-point3): 新的向量</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;">(other, Vector3):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</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;">(other, Point3):</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 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</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;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;unsupported operand type(s) for -: &quot;Vector3&quot; and &quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="method-self-other-point3" tabindex="-1"><em><strong>method</strong></em> <code>self - other: Point3</code> <a class="header-anchor" href="#method-self-other-point3" aria-label="Permalink to &quot;***method*** `self - other: Point3`&quot;">​</a></h4><p><strong>Description</strong>: P - V -&gt; P</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="./point.html#class-point3"><code>Point3</code></a>): 另一个点</li></ul></blockquote><p><strong>Return</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 新的点</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L208" target="_blank">View on GitHub</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;"> __rsub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</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;"> P - V -&gt; P</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;"> other ([`Point3`](./point#class-point3)): 另一个点</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;"> [`Point3`](./point#class-point3): 新的点</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;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Point3):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, other.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z)</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;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for -: &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39; and &#39;Vector3&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-vector3-vector3-2" tabindex="-1"><em><strong>method</strong></em> <code>self * other: Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-vector3-vector3-2" aria-label="Permalink to &quot;***method*** `self * other: Vector3 =&gt; Vector3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L223" target="_blank">View on GitHub</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:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-realnumber-vector3" tabindex="-1"><em><strong>method</strong></em> <code>self * other: RealNumber =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-realnumber-vector3" aria-label="Permalink to &quot;***method*** `self * other: RealNumber =&gt; Vector3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L227" target="_blank">View on GitHub</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:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: RealNumber) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h4 id="method-self-other-int-float-vector3-vector3" tabindex="-1"><em><strong>method</strong></em> <code>self * other: int | float | Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-int-float-vector3-vector3" aria-label="Permalink to &quot;***method*** `self * other: int | float | Vector3 =&gt; Vector3`&quot;">​</a></h4><p><strong>Description</strong>: 数组运算 非点乘。点乘使用@，叉乘使用cross。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a> | <a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 另一个向量或数</li></ul></blockquote><p><strong>Return</strong>: <a href="#class-vector"><code>Vector3</code></a>: 数组运算结果</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L230" target="_blank">View on GitHub</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;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;int | float | Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</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;"> 数组运算 非点乘。点乘使用@，叉乘使用cross。</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;"> other ([`Vector3`](#class-vector3) | [`float`](https%3A//docs.python.org/3/library/functions.html#float)): 另一个向量或数</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;"> [`Vector3`](#class-vector): 数组运算结果</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;">(other, Vector3):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</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;">(other, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </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 style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other)</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;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for *: &#39;Vector3&#39; and &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="method-self-other-realnumber-vector3-1" tabindex="-1"><em><strong>method</strong></em> <code>self * other: RealNumber =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-realnumber-vector3-1" aria-label="Permalink to &quot;***method*** `self * other: RealNumber =&gt; Vector3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L246" target="_blank">View on GitHub</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;"> __rmul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;RealNumber&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</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;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">__mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span></span></code></pre></div></details><h4 id="method-self-other-vector3-realnumber" tabindex="-1"><em><strong>method</strong></em> <code>self @ other: Vector3 =&gt; RealNumber</code> <a class="header-anchor" href="#method-self-other-vector3-realnumber" aria-label="Permalink to &quot;***method*** `self @ other: Vector3 =&gt; RealNumber`&quot;">​</a></h4><p><strong>Description</strong>: 点乘。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>: 点乘结果</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L249" target="_blank">View on GitHub</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;"> __matmul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;RealNumber&#39;</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;"> 点乘。</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;"> other ([`Vector3`](#class-vector3)): 另一个向量</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;"> [`float`](https%3A//docs.python.org/3/library/functions.html#float): 点乘结果</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;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z</span></span></code></pre></div></details><h4 id="method-self-other-realnumber-vector3-2" tabindex="-1"><em><strong>method</strong></em> <code>self / other: RealNumber =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-realnumber-vector3-2" aria-label="Permalink to &quot;***method*** `self / other: RealNumber =&gt; Vector3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L259" target="_blank">View on GitHub</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;"> __truediv__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: RealNumber) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</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;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other)</span></span></code></pre></div></details><h4 id="method-self-vector3" tabindex="-1"><em><strong>method</strong></em> <code>- self =&gt; Vector3</code> <a class="header-anchor" href="#method-self-vector3" aria-label="Permalink to &quot;***method*** `- self =&gt; Vector3`&quot;">​</a></h4><p><strong>Description</strong>: 取负。</p><p><strong>Return</strong>: <a href="#class-vector3"><code>Vector3</code></a>: 负向量</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L262" target="_blank">View on GitHub</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;"> __neg__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</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;"> 取负。</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;"> [`Vector3`](#class-vector3): 负向量</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;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z)</span></span></code></pre></div></details><h3 id="var-zero-vector3" tabindex="-1">var <code>zero_vector3</code> <a class="header-anchor" href="#var-zero-vector3" aria-label="Permalink to &quot;var `zero_vector3`&quot;">​</a></h3><ul><li><p><strong>Description</strong>: 零向量</p></li><li><p><strong>Type</strong>: <code>Vector3</code></p></li><li><p><strong>Default</strong>: <code>Vector3(0, 0, 0)</code></p></li></ul><h3 id="var-x-axis" tabindex="-1">var <code>x_axis</code> <a class="header-anchor" href="#var-x-axis" aria-label="Permalink to &quot;var `x_axis`&quot;">​</a></h3><ul><li><p><strong>Description</strong>: x轴单位向量</p></li><li><p><strong>Type</strong>: <code>Vector3</code></p></li><li><p><strong>Default</strong>: <code>Vector3(1, 0, 0)</code></p></li></ul><h3 id="var-y-axis" tabindex="-1">var <code>y_axis</code> <a class="header-anchor" href="#var-y-axis" aria-label="Permalink to &quot;var `y_axis`&quot;">​</a></h3><ul><li><p><strong>Description</strong>: y轴单位向量</p></li><li><p><strong>Type</strong>: <code>Vector3</code></p></li><li><p><strong>Default</strong>: <code>Vector3(0, 1, 0)</code></p></li></ul><h3 id="var-z-axis" tabindex="-1">var <code>z_axis</code> <a class="header-anchor" href="#var-z-axis" aria-label="Permalink to &quot;var `z_axis`&quot;">​</a></h3><ul><li><p><strong>Description</strong>: z轴单位向量</p></li><li><p><strong>Type</strong>: <code>Vector3</code></p></li><li><p><strong>Default</strong>: <code>Vector3(0, 0, 1)</code></p></li></ul></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/vector.py" target="_blank" rel="noreferrer" data-v-28deee4a><!--[--><span class="vpi-square-pen edit-link-icon" data-v-28deee4a></span> Edit this page on GitHub<!--]--></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="/en/api/mp_math/utils.html" data-v-28deee4a><!--[--><span class="desc" data-v-28deee4a>Prev Page</span><span class="title" data-v-28deee4a>mbcp.mp_math.utils</span><!--]--></a></div><div class="pager" data-v-28deee4a><a class="VPLink link pager-link next" href="/en/api/particle/" data-v-28deee4a><!--[--><span class="desc" data-v-28deee4a>Next Page</span><span class="title" data-v-28deee4a>mbcp.particle</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>Documentation built with <a href="https://vitepress.dev/">VitePress</a> | API references generated by <a href="https://github.com/LiteyukiStudio/litedoc">litedoc</a></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\":\"YS-zqWwM\",\"api_mp_math_angle.md\":\"CThQB5nq\",\"api_mp_math_const.md\":\"DqjQQ6Ym\",\"api_mp_math_equation.md\":\"C1YMGsIR\",\"api_mp_math_function.md\":\"C0P_-kol\",\"api_mp_math_index.md\":\"yEj9pzOD\",\"api_mp_math_line.md\":\"Okmn0BTW\",\"api_mp_math_mp_math_typing.md\":\"bdiOSvFy\",\"api_mp_math_plane.md\":\"Dl-FdXx3\",\"api_mp_math_point.md\":\"xU6HjeL2\",\"api_mp_math_segment.md\":\"BqloNjdD\",\"api_mp_math_utils.md\":\"CGBZjr3t\",\"api_mp_math_vector.md\":\"B443ftAV\",\"api_particle_index.md\":\"VxgsHiZa\",\"api_presets_index.md\":\"BEZBx6Gj\",\"api_presets_model_index.md\":\"CzrZX1Li\",\"demo_best-practice.md\":\"CmYjfrxd\",\"demo_index.md\":\"CVAdlaFI\",\"en_api_index.md\":\"BrJlad-k\",\"en_api_mp_math_angle.md\":\"BvzeTdtj\",\"en_api_mp_math_const.md\":\"CrUt_3FV\",\"en_api_mp_math_equation.md\":\"CHBtH4v6\",\"en_api_mp_math_function.md\":\"D68bTyed\",\"en_api_mp_math_index.md\":\"D331As7i\",\"en_api_mp_math_line.md\":\"B69kHoPc\",\"en_api_mp_math_mp_math_typing.md\":\"xRGJGUMm\",\"en_api_mp_math_plane.md\":\"BdKgRumw\",\"en_api_mp_math_point.md\":\"BeT2oqIN\",\"en_api_mp_math_segment.md\":\"DbFvInHk\",\"en_api_mp_math_utils.md\":\"CYq8hncD\",\"en_api_mp_math_vector.md\":\"CPGkZzwr\",\"en_api_particle_index.md\":\"ZKByd_x0\",\"en_api_presets_index.md\":\"BhoZyGSV\",\"en_api_presets_model_index.md\":\"BM4zzWd9\",\"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\":\"6u5f7W7q\",\"ja_api_mp_math_angle.md\":\"CbTFNFpP\",\"ja_api_mp_math_const.md\":\"HrVLdLVW\",\"ja_api_mp_math_equation.md\":\"BR_cjYxP\",\"ja_api_mp_math_function.md\":\"CeNPnpri\",\"ja_api_mp_math_index.md\":\"BVYYBcgX\",\"ja_api_mp_math_line.md\":\"CmVmq6PC\",\"ja_api_mp_math_mp_math_typing.md\":\"BnSHEEFC\",\"ja_api_mp_math_plane.md\":\"D7v3q_U8\",\"ja_api_mp_math_point.md\":\"BqC8JgjG\",\"ja_api_mp_math_segment.md\":\"vi1FH0--\",\"ja_api_mp_math_utils.md\":\"DhPmcvK-\",\"ja_api_mp_math_vector.md\":\"B7oDy-SU\",\"ja_api_particle_index.md\":\"ighey3JD\",\"ja_api_presets_index.md\":\"Bow22HNO\",\"ja_api_presets_model_index.md\":\"C-uCqjXi\",\"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\":\"DMjE1xBr\",\"zht_api_mp_math_angle.md\":\"D6i--7zd\",\"zht_api_mp_math_const.md\":\"DI0xAyWX\",\"zht_api_mp_math_equation.md\":\"B3rt0Pgw\",\"zht_api_mp_math_function.md\":\"Cf9utaTV\",\"zht_api_mp_math_index.md\":\"DbgI3vD1\",\"zht_api_mp_math_line.md\":\"-wtKMTMJ\",\"zht_api_mp_math_mp_math_typing.md\":\"BbOeRs-n\",\"zht_api_mp_math_plane.md\":\"o_Vroqha\",\"zht_api_mp_math_point.md\":\"CNwxPYyR\",\"zht_api_mp_math_segment.md\":\"Dr21f14B\",\"zht_api_mp_math_utils.md\":\"B57z4IwN\",\"zht_api_mp_math_vector.md\":\"DCG5CraB\",\"zht_api_particle_index.md\":\"DjZABivI\",\"zht_api_presets_index.md\":\"Bl7tnVS9\",\"zht_api_presets_model_index.md\":\"BQanubQ0\",\"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