mirror of
https://github.com/snowykami/mbcp.git
synced 2024-11-27 08:45:03 +08:00
202 lines
96 KiB
HTML
202 lines
96 KiB
HTML
<!DOCTYPE html>
|
||
<html lang="zh-Hans" dir="ltr">
|
||
<head>
|
||
<meta charset="utf-8">
|
||
<meta name="viewport" content="width=device-width,initial-scale=1">
|
||
<title>mbcp.mp_math.line | MBCP 文档</title>
|
||
<meta name="description" content="MBCP 粒子计算和生成库文档">
|
||
<meta name="generator" content="VitePress v1.3.4">
|
||
<link rel="preload stylesheet" href="/assets/style.BiH8pcAw.css" as="style">
|
||
|
||
<script type="module" src="/assets/app.DSCSdM_3.js"></script>
|
||
<link rel="preload" href="/assets/inter-roman-latin.Di8DUHzh.woff2" as="font" type="font/woff2" crossorigin="">
|
||
<link rel="modulepreload" href="/assets/chunks/theme.CIS5wKR_.js">
|
||
<link rel="modulepreload" href="/assets/chunks/framework.C94oF1kp.js">
|
||
<link rel="modulepreload" href="/assets/api_mp_math_line.md.CtD6lWPK.lean.js">
|
||
<link rel="icon" type="image/svg+xml" href="/mbcp-logo.svg">
|
||
<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-22f859ac><!--[--><!--]--><!--[--><span tabindex="-1" data-v-3e86afbf></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-3e86afbf> Skip to content </a><!--]--><!----><header class="VPNav" data-v-22f859ac data-v-2a4e514e><div class="VPNavBar has-sidebar top" data-v-2a4e514e data-v-1303e283><div class="wrapper" data-v-1303e283><div class="container" data-v-1303e283><div class="title" data-v-1303e283><div class="VPNavBarTitle has-sidebar" data-v-1303e283 data-v-10b95b50><a class="title" href="/" data-v-10b95b50><!--[--><!--]--><!--[--><img class="VPImage logo" src="/mbcp-logo.svg" alt data-v-f925500d><!--]--><span data-v-10b95b50>MBCP 文档</span><!--[--><!--]--></a></div></div><div class="content" data-v-1303e283><div class="content-body" data-v-1303e283><!--[--><!--]--><div class="VPNavBarSearch search" data-v-1303e283><!----></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-1303e283 data-v-0fb289c1><span id="main-nav-aria-label" class="visually-hidden" data-v-0fb289c1> Main Navigation </span><!--[--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/guide/" tabindex="0" data-v-0fb289c1 data-v-ad4a8b64><!--[--><span data-v-ad4a8b64>快速开始</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/refer.html" tabindex="0" data-v-0fb289c1 data-v-ad4a8b64><!--[--><span data-v-ad4a8b64>参考</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/api/" tabindex="0" data-v-0fb289c1 data-v-ad4a8b64><!--[--><span data-v-ad4a8b64>API引用</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/demo/" tabindex="0" data-v-0fb289c1 data-v-ad4a8b64><!--[--><span data-v-ad4a8b64>实例</span><!--]--></a><!--]--><!--]--></nav><div class="VPFlyout VPNavBarTranslations translations" data-v-1303e283 data-v-cd7b67e8 data-v-ec8c49bc><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="Change language" data-v-ec8c49bc><span class="text" data-v-ec8c49bc><span class="vpi-languages option-icon" data-v-ec8c49bc></span><!----><span class="vpi-chevron-down text-icon" data-v-ec8c49bc></span></span></button><div class="menu" data-v-ec8c49bc><div class="VPMenu" data-v-ec8c49bc data-v-9990563e><!----><!--[--><!--[--><div class="items" data-v-cd7b67e8><p class="title" data-v-cd7b67e8>简体中文</p><!--[--><div class="VPMenuLink" data-v-cd7b67e8 data-v-79776a7a><a class="VPLink link" href="/en/api/mp_math/line.html" data-v-79776a7a><!--[-->English<!--]--></a></div><div class="VPMenuLink" data-v-cd7b67e8 data-v-79776a7a><a class="VPLink link" href="/ja/api/mp_math/line.html" data-v-79776a7a><!--[-->日本語<!--]--></a></div><div class="VPMenuLink" data-v-cd7b67e8 data-v-79776a7a><a class="VPLink link" href="/zht/api/mp_math/line.html" data-v-79776a7a><!--[-->繁體中文<!--]--></a></div><!--]--></div><!--]--><!--]--></div></div></div><div class="VPNavBarAppearance appearance" data-v-1303e283 data-v-2a6692f8><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-2a6692f8 data-v-3a50aa5c data-v-d82e607b><span class="check" data-v-d82e607b><span class="icon" data-v-d82e607b><!--[--><span class="vpi-sun sun" data-v-3a50aa5c></span><span class="vpi-moon moon" data-v-3a50aa5c></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-1303e283 data-v-f3b91b3a data-v-fa18fe49><!--[--><a class="VPSocialLink no-icon" href="https://github.com/snowykami/mbcp" aria-label="github" target="_blank" rel="noopener" data-v-fa18fe49 data-v-b0526bd7><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-1303e283 data-v-2fc967b6 data-v-ec8c49bc><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-ec8c49bc><span class="vpi-more-horizontal icon" data-v-ec8c49bc></span></button><div class="menu" data-v-ec8c49bc><div class="VPMenu" data-v-ec8c49bc data-v-9990563e><!----><!--[--><!--[--><div class="group translations" data-v-2fc967b6><p class="trans-title" data-v-2fc967b6>简体中文</p><!--[--><div class="VPMenuLink" data-v-2fc967b6 data-v-79776a7a><a class="VPLink link" href="/en/api/mp_math/line.html" data-v-79776a7a><!--[-->English<!--]--></a></div><div class="VPMenuLink" data-v-2fc967b6 data-v-79776a7a><a class="VPLink link" href="/ja/api/mp_math/line.html" data-v-79776a7a><!--[-->日本語<!--]--></a></div><div class="VPMenuLink" data-v-2fc967b6 data-v-79776a7a><a class="VPLink link" href="/zht/api/mp_math/line.html" data-v-79776a7a><!--[-->繁體中文<!--]--></a></div><!--]--></div><div class="group" data-v-2fc967b6><div class="item appearance" data-v-2fc967b6><p class="label" data-v-2fc967b6>Appearance</p><div class="appearance-action" data-v-2fc967b6><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-2fc967b6 data-v-3a50aa5c data-v-d82e607b><span class="check" data-v-d82e607b><span class="icon" data-v-d82e607b><!--[--><span class="vpi-sun sun" data-v-3a50aa5c></span><span class="vpi-moon moon" data-v-3a50aa5c></span><!--]--></span></span></button></div></div></div><div class="group" data-v-2fc967b6><div class="item social-links" data-v-2fc967b6><div class="VPSocialLinks social-links-list" data-v-2fc967b6 data-v-fa18fe49><!--[--><a class="VPSocialLink no-icon" href="https://github.com/snowykami/mbcp" aria-label="github" target="_blank" rel="noopener" data-v-fa18fe49 data-v-b0526bd7><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-1303e283 data-v-be64de2d><span class="container" data-v-be64de2d><span class="top" data-v-be64de2d></span><span class="middle" data-v-be64de2d></span><span class="bottom" data-v-be64de2d></span></span></button></div></div></div></div><div class="divider" data-v-1303e283><div class="divider-line" data-v-1303e283></div></div></div><!----></header><div class="VPLocalNav has-sidebar empty" data-v-22f859ac data-v-8af612ea><div class="container" data-v-8af612ea><button class="menu" aria-expanded="false" aria-controls="VPSidebarNav" data-v-8af612ea><span class="vpi-align-left menu-icon" data-v-8af612ea></span><span class="menu-text" data-v-8af612ea>Menu</span></button><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-8af612ea data-v-b418bf42><button data-v-b418bf42>Return to top</button><!----></div></div></div><aside class="VPSidebar" data-v-22f859ac data-v-edd7de80><div class="curtain" data-v-edd7de80></div><nav class="nav" id="VPSidebarNav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-edd7de80><span class="visually-hidden" id="sidebar-aria-label" data-v-edd7de80> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-c3eaeb1a><section class="VPSidebarItem level-0 has-active" data-v-c3eaeb1a data-v-9035698b><div class="item" role="button" tabindex="0" data-v-9035698b><div class="indicator" data-v-9035698b></div><h2 class="text" data-v-9035698b>MBCP</h2><!----></div><div class="items" data-v-9035698b><!--[--><div class="VPSidebarItem level-1 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/api.html" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible is-link has-active" data-v-9035698b data-v-9035698b><div class="item" tabindex="0" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/mp_math/mp_math.html" data-v-9035698b><!--[--><h3 class="text" data-v-9035698b>mbcp.mp_math</h3><!--]--></a><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-9035698b><span class="vpi-chevron-right caret-icon" data-v-9035698b></span></div></div><div class="items" data-v-9035698b><!--[--><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/mp_math/angle.html" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math.angle</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/mp_math/const.html" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math.const</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/mp_math/equation.html" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math.equation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/mp_math/function.html" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math.function</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/mp_math/" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/mp_math/line.html" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math.line</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/mp_math/mp_math_typing.html" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math.mp_math_typing</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/mp_math/plane.html" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math.plane</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/mp_math/point.html" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math.point</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/mp_math/segment.html" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math.segment</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/mp_math/utils.html" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math.utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/mp_math/vector.html" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math.vector</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-1 collapsible collapsed is-link" data-v-9035698b data-v-9035698b><div class="item" tabindex="0" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/particle/particle.html" data-v-9035698b><!--[--><h3 class="text" data-v-9035698b>mbcp.particle</h3><!--]--></a><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-9035698b><span class="vpi-chevron-right caret-icon" data-v-9035698b></span></div></div><div class="items" data-v-9035698b><!--[--><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/particle/" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.particle</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-1 collapsible collapsed is-link" data-v-9035698b data-v-9035698b><div class="item" tabindex="0" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/presets/presets.html" data-v-9035698b><!--[--><h3 class="text" data-v-9035698b>mbcp.presets</h3><!--]--></a><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-9035698b><span class="vpi-chevron-right caret-icon" data-v-9035698b></span></div></div><div class="items" data-v-9035698b><!--[--><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/presets/" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.presets</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible collapsed is-link" data-v-9035698b data-v-9035698b><div class="item" tabindex="0" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/presets/model/model.html" data-v-9035698b><!--[--><h4 class="text" data-v-9035698b>mbcp.presets.model</h4><!--]--></a><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-9035698b><span class="vpi-chevron-right caret-icon" data-v-9035698b></span></div></div><div class="items" data-v-9035698b><!--[--><div class="VPSidebarItem level-3 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/api/presets/model/" data-v-9035698b><!--[--><p class="text" data-v-9035698b>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-22f859ac data-v-ec7dbf3e><div class="VPDoc has-sidebar has-aside" data-v-ec7dbf3e data-v-40342069><!--[--><!--]--><div class="container" data-v-40342069><div class="aside" data-v-40342069><div class="aside-curtain" data-v-40342069></div><div class="aside-container" data-v-40342069><div class="aside-content" data-v-40342069><div class="VPDocAside" data-v-40342069 data-v-0ff3c77f><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-0ff3c77f data-v-e7b12e6e><div class="content" data-v-e7b12e6e><div class="outline-marker" data-v-e7b12e6e></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-e7b12e6e>页面内容</div><ul class="VPDocOutlineItem root" data-v-e7b12e6e data-v-51c2c770><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-0ff3c77f></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-40342069><div class="content-container" data-v-40342069><!--[--><!--]--><main class="main" data-v-40342069><div style="position:relative;" class="vp-doc _api_mp_math_line" data-v-40342069><div><h1 id="mbcp-mp-math-line" tabindex="-1">mbcp.mp_math.line <a class="header-anchor" href="#mbcp-mp-math-line" aria-label="Permalink to "mbcp.mp_math.line""></a></h1><p><strong>说明</strong>: 本模块定义了三维空间中的直线类</p><h3 id="class-line3" tabindex="-1"><em><strong>class</strong></em> <code>Line3</code> <a class="header-anchor" href="#class-line3" aria-label="Permalink to "***class*** `Line3`""></a></h3><h4 id="def-init-self-point-point3-direction-vector3" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, point: Point3, direction: Vector3)</code> <a class="header-anchor" href="#def-init-self-point-point3-direction-vector3" aria-label="Permalink to "***def*** `__init__(self, point: Point3, direction: Vector3)`""></a></h4><p><strong>说明</strong>: 三维空间中的直线。由一个点和一个方向向量确定。</p><p><strong>参数</strong>:</p><blockquote><ul><li>point: 直线上的一点</li><li>direction: 直线的方向向量</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L19" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, direction: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 三维空间中的直线。由一个点和一个方向向量确定。</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;"> point: 直线上的一点</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> direction: 直线的方向向量</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> point</span></span>
|
||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> direction</span></span></code></pre></div></details><h4 id="def-approx-self-other-line3-epsilon-float-approx-bool" tabindex="-1"><em><strong>def</strong></em> <code>approx(self, other: Line3, epsilon: float = APPROX) -> bool</code> <a class="header-anchor" href="#def-approx-self-other-line3-epsilon-float-approx-bool" aria-label="Permalink to "***def*** `approx(self, other: Line3, epsilon: float = APPROX) -> bool`""></a></h4><p><strong>说明</strong>: 判断两条直线是否近似相等。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一条直线</li><li>epsilon: 误差</li></ul></blockquote><p><strong>返回</strong>: 是否近似相等</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L29" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> approx</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</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;">) -> </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;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两条直线是否近似相等。</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: 另一条直线</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon: 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;"> 是否近似相等</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</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;">.is_approx_parallel(other, epsilon) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</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;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.point).is_approx_parallel(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction, epsilon)</span></span></code></pre></div></details><h4 id="def-cal-angle-self-other-line3-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>cal_angle(self, other: Line3) -> AnyAngle</code> <a class="header-anchor" href="#def-cal-angle-self-other-line3-anyangle" aria-label="Permalink to "***def*** `cal_angle(self, other: Line3) -> AnyAngle`""></a></h4><p><strong>说明</strong>: 计算直线和直线之间的夹角。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一条直线</li></ul></blockquote><p><strong>返回</strong>: 夹角弧度</p><p><strong>引发</strong>:</p><blockquote><ul><li>TypeError 不支持的类型</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L40" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_angle</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算直线和直线之间的夹角。</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: 另一条直线</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;"> 夹角弧度</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Raises:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> TypeError: 不支持的类型</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</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;">.direction.cal_angle(other.direction)</span></span></code></pre></div></details><h4 id="def-cal-distance-self-other-line3-point3-float" tabindex="-1"><em><strong>def</strong></em> <code>cal_distance(self, other: Line3 | Point3) -> float</code> <a class="header-anchor" href="#def-cal-distance-self-other-line3-point3-float" aria-label="Permalink to "***def*** `cal_distance(self, other: Line3 | Point3) -> float`""></a></h4><p><strong>说明</strong>: 计算直线和直线或点之间的距离。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 平行直线或点</li></ul></blockquote><p><strong>返回</strong>: 距离</p><p><strong>引发</strong>:</p><blockquote><ul><li>TypeError 不支持的类型</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L52" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_distance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3 | Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </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;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算直线和直线或点之间的距离。</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: 平行直线或点</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;"> 距离</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Raises:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> TypeError: 不支持的类型</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</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, Line3):</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</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>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.is_parallel(other):</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (other.point </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;">.point).cross(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction).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;">.direction.length</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> not</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.is_coplanar(other):</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</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;">.direction.cross(other.direction) </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;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.point) </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;">.direction.cross(other.direction).length)</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</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;"> (other </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;">.point).cross(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction).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;">.direction.length</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:#032F62;--shiki-dark:#9ECBFF;">'Unsupported type.'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-cal-intersection-self-other-line3-point3" tabindex="-1"><em><strong>def</strong></em> <code>cal_intersection(self, other: Line3) -> Point3</code> <a class="header-anchor" href="#def-cal-intersection-self-other-line3-point3" aria-label="Permalink to "***def*** `cal_intersection(self, other: Line3) -> Point3`""></a></h4><p><strong>说明</strong>: 计算两条直线的交点。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一条直线</li></ul></blockquote><p><strong>返回</strong>: 交点</p><p><strong>引发</strong>:</p><blockquote><ul><li>ValueError 直线平行</li><li>ValueError 直线不共面</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L83" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_intersection</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算两条直线的交点。</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一条直线</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;"> 交点</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Raises:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ValueError: 直线平行</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ValueError: 直线不共面</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.is_parallel(other):</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ValueError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Lines are parallel and do not intersect.'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> not</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.is_coplanar(other):</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ValueError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Lines are not coplanar and do not intersect.'</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;">.point </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;">.direction.cross(other.direction) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">@</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.direction.cross(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.point) </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;">.direction.cross(other.direction).length </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;">.direction</span></span></code></pre></div></details><h4 id="def-cal-perpendicular-self-point-point3-line3" tabindex="-1"><em><strong>def</strong></em> <code>cal_perpendicular(self, point: Point3) -> Line3</code> <a class="header-anchor" href="#def-cal-perpendicular-self-point-point3-line3" aria-label="Permalink to "***def*** `cal_perpendicular(self, point: Point3) -> Line3`""></a></h4><p><strong>说明</strong>: 计算直线经过指定点p的垂线。</p><p><strong>参数</strong>:</p><blockquote><ul><li>point: 指定点</li></ul></blockquote><p><strong>返回</strong>: 垂线</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L101" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_perpendicular</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算直线经过指定点p的垂线。</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;"> point: 指定点</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;"> 垂线</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Line3(point, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.cross(point </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;">.point))</span></span></code></pre></div></details><h4 id="def-get-point-self-t-realnumber-point3" tabindex="-1"><em><strong>def</strong></em> <code>get_point(self, t: RealNumber) -> Point3</code> <a class="header-anchor" href="#def-get-point-self-t-realnumber-point3" aria-label="Permalink to "***def*** `get_point(self, t: RealNumber) -> Point3`""></a></h4><p><strong>说明</strong>: 获取直线上的点。同一条直线，但起始点和方向向量不同，则同一个t对应的点不同。</p><p><strong>参数</strong>:</p><blockquote><ul><li>t: 参数t</li></ul></blockquote><p><strong>返回</strong>: 点</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L111" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> get_point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, t: RealNumber) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 获取直线上的点。同一条直线，但起始点和方向向量不同，则同一个t对应的点不同。</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> t: 参数t</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;"> 点</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</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;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction</span></span></code></pre></div></details><h4 id="def-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" tabindex="-1"><em><strong>def</strong></em> <code>get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]</code> <a class="header-anchor" href="#def-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" aria-label="Permalink to "***def*** `get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]`""></a></h4><p><strong>说明</strong>: 获取直线的参数方程。</p><p><strong>返回</strong>: x(t), y(t), z(t)</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L121" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> get_parametric_equations</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 获取直线的参数方程。</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;"> x(t), y(t), z(t)</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">lambda</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.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;">.direction.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">lambda</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.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;">.direction.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">lambda</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.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;">.direction.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t)</span></span></code></pre></div></details><h4 id="def-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" tabindex="-1"><em><strong>def</strong></em> <code>is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool</code> <a class="header-anchor" href="#def-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" aria-label="Permalink to "***def*** `is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool`""></a></h4><p><strong>说明</strong>: 判断两条直线是否近似平行。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一条直线</li><li>epsilon: 误差</li></ul></blockquote><p><strong>返回</strong>: 是否近似平行</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L131" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_approx_parallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</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;">1e-06</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </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;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两条直线是否近似平行。</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: 另一条直线</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon: 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;"> 是否近似平行</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</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;">.direction.is_approx_parallel(other.direction, epsilon)</span></span></code></pre></div></details><h4 id="def-is-parallel-self-other-line3-bool" tabindex="-1"><em><strong>def</strong></em> <code>is_parallel(self, other: Line3) -> bool</code> <a class="header-anchor" href="#def-is-parallel-self-other-line3-bool" aria-label="Permalink to "***def*** `is_parallel(self, other: Line3) -> bool`""></a></h4><p><strong>说明</strong>: 判断两条直线是否平行。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一条直线</li></ul></blockquote><p><strong>返回</strong>: 是否平行</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L142" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_parallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </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;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两条直线是否平行。</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: 另一条直线</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;"> 是否平行</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</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;">.direction.is_parallel(other.direction)</span></span></code></pre></div></details><h4 id="def-is-collinear-self-other-line3-bool" tabindex="-1"><em><strong>def</strong></em> <code>is_collinear(self, other: Line3) -> bool</code> <a class="header-anchor" href="#def-is-collinear-self-other-line3-bool" aria-label="Permalink to "***def*** `is_collinear(self, other: Line3) -> bool`""></a></h4><p><strong>说明</strong>: 判断两条直线是否共线。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一条直线</li></ul></blockquote><p><strong>返回</strong>: 是否共线</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L152" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_collinear</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </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;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两条直线是否共线。</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: 另一条直线</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;"> 是否共线</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</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;">.is_parallel(other) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</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;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.point).is_parallel(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction)</span></span></code></pre></div></details><h4 id="def-is-point-on-self-point-point3-bool" tabindex="-1"><em><strong>def</strong></em> <code>is_point_on(self, point: Point3) -> bool</code> <a class="header-anchor" href="#def-is-point-on-self-point-point3-bool" aria-label="Permalink to "***def*** `is_point_on(self, point: Point3) -> bool`""></a></h4><p><strong>说明</strong>: 判断点是否在直线上。</p><p><strong>参数</strong>:</p><blockquote><ul><li>point: 点</li></ul></blockquote><p><strong>返回</strong>: 是否在直线上</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L162" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_point_on</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </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;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断点是否在直线上。</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;"> point: 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;"> 是否在直线上</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (point </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;">.point).is_parallel(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction)</span></span></code></pre></div></details><h4 id="def-is-coplanar-self-other-line3-bool" tabindex="-1"><em><strong>def</strong></em> <code>is_coplanar(self, other: Line3) -> bool</code> <a class="header-anchor" href="#def-is-coplanar-self-other-line3-bool" aria-label="Permalink to "***def*** `is_coplanar(self, other: Line3) -> bool`""></a></h4><p><strong>说明</strong>: 判断两条直线是否共面。 充要条件：两直线方向向量的叉乘与两直线上任意一点的向量的点积为0。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一条直线</li></ul></blockquote><p><strong>返回</strong>: 是否共面</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L172" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_coplanar</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </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;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两条直线是否共面。</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 充要条件：两直线方向向量的叉乘与两直线上任意一点的向量的点积为0。</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: 另一条直线</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;"> 是否共面</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</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;">.direction.cross(other.direction) </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;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.point) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span></code></pre></div></details><h4 id="def-simplify-self" tabindex="-1"><em><strong>def</strong></em> <code>simplify(self)</code> <a class="header-anchor" href="#def-simplify-self" aria-label="Permalink to "***def*** `simplify(self)`""></a></h4><p><strong>说明</strong>: 简化直线方程，等价相等。 自体简化，不返回值。</p><p>按照可行性一次对x y z 化 0 处理，并对向量单位化</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L183" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> simplify</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 简化直线方程，等价相等。</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 自体简化，不返回值。</span></span>
|
||
<span class="line"></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 按照可行性一次对x y z 化 0 处理，并对向量单位化</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.normalize()</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span></code></pre></div></details><p><code>@classmethod</code></p><h4 id="def-from-two-points-cls-p1-point3-p2-point3-line3" tabindex="-1"><em><strong>def</strong></em> <code>from_two_points(cls, p1: Point3, p2: Point3) -> Line3</code> <a class="header-anchor" href="#def-from-two-points-cls-p1-point3-p2-point3-line3" aria-label="Permalink to "***def*** `from_two_points(cls, p1: Point3, p2: Point3) -> Line3`""></a></h4><p><strong>说明</strong>: 工厂函数 由两点构造直线。</p><p><strong>参数</strong>:</p><blockquote><ul><li>p1: 点1</li><li>p2: 点2</li></ul></blockquote><p><strong>返回</strong>: 直线</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L202" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">classmethod</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> from_two_points</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cls, p1: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, p2: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 工厂函数 由两点构造直线。</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;"> p1: 点1</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> p2: 点2</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;"> 直线</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> direction </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p1</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> cls</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1, direction)</span></span></code></pre></div></details><h4 id="def-and-self-other-line3-line3-point3-none" tabindex="-1"><em><strong>def</strong></em> <code>__and__(self, other: Line3) -> Line3 | Point3 | None</code> <a class="header-anchor" href="#def-and-self-other-line3-line3-point3-none" aria-label="Permalink to "***def*** `__and__(self, other: Line3) -> Line3 | Point3 | None`""></a></h4><p><strong>说明</strong>: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一条直线</li></ul></blockquote><p><strong>返回</strong>: 交点</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L214" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __and__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3 | Point3 | None'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一条直线</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;"> 交点</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.is_collinear(other):</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>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.is_parallel(other) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">or</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> not</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.is_coplanar(other):</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> None</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cal_intersection(other)</span></span></code></pre></div></details><h4 id="def-eq-self-other-bool" tabindex="-1"><em><strong>def</strong></em> <code>__eq__(self, other) -> bool</code> <a class="header-anchor" href="#def-eq-self-other-bool" aria-label="Permalink to "***def*** `__eq__(self, other) -> bool`""></a></h4><p><strong>说明</strong>: 判断两条直线是否等价。</p><p>v1 // v2 ∧ (p1 - p2) // v1</p><p><strong>参数</strong>:</p><blockquote><ul><li>other:</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L229" target="_blank">在GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other) -> </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;"> """</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两条直线是否等价。</span></span>
|
||
<span class="line"></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> v1 // v2 ∧ (p1 - p2) // v1</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:</span></span>
|
||
<span class="line"></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
||
<span class="line"></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</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;">.direction.is_parallel(other.direction) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</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;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.point).is_parallel(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction)</span></span></code></pre></div></details></div></div></main><footer class="VPDocFooter" data-v-40342069 data-v-a4b38bd6><!--[--><!--]--><!----><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-a4b38bd6><span class="visually-hidden" id="doc-footer-aria-label" data-v-a4b38bd6>Pager</span><div class="pager" data-v-a4b38bd6><a class="VPLink link pager-link prev" href="/api/mp_math/" data-v-a4b38bd6><!--[--><span class="desc" data-v-a4b38bd6>上一页</span><span class="title" data-v-a4b38bd6>mbcp.mp_math</span><!--]--></a></div><div class="pager" data-v-a4b38bd6><a class="VPLink link pager-link next" href="/api/mp_math/mp_math_typing.html" data-v-a4b38bd6><!--[--><span class="desc" data-v-a4b38bd6>下一页</span><span class="title" data-v-a4b38bd6>mbcp.mp_math.mp_math_typing</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-22f859ac data-v-e3ca6860><div class="container" data-v-e3ca6860><p class="message" data-v-e3ca6860>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</p><p class="copyright" data-v-e3ca6860>Copyright (C) 2020-2024 SnowyKami. All Rights Reserved</p></div></footer><!--[--><!--]--></div></div>
|
||
<script>window.__VP_HASH_MAP__=JSON.parse("{\"api_api.md\":\"D_B0Hlcp\",\"api_index.md\":\"C_wESrrY\",\"api_mp_math_angle.md\":\"C-N73CgT\",\"api_mp_math_const.md\":\"BAf8mK4W\",\"api_mp_math_equation.md\":\"Cp31USqa\",\"api_mp_math_function.md\":\"DIC1Ry3F\",\"api_mp_math_index.md\":\"BNf7bQqL\",\"api_mp_math_line.md\":\"CtD6lWPK\",\"api_mp_math_mp_math.md\":\"GlFMkWiQ\",\"api_mp_math_mp_math_typing.md\":\"DlnJmkos\",\"api_mp_math_plane.md\":\"ad6doatt\",\"api_mp_math_point.md\":\"BY0HIcUa\",\"api_mp_math_segment.md\":\"CmG5SWCe\",\"api_mp_math_utils.md\":\"CAI5jzaB\",\"api_mp_math_vector.md\":\"BnKft09t\",\"api_particle_index.md\":\"Cm3Vk-es\",\"api_particle_particle.md\":\"yD6tcNSr\",\"api_presets_index.md\":\"CD62I2gv\",\"api_presets_model_index.md\":\"CxTdQozZ\",\"api_presets_model_model.md\":\"C5hmcIxj\",\"api_presets_presets.md\":\"4R0VRbQo\",\"demo_index.md\":\"D-H9zRUE\",\"en_api_api.md\":\"BSgrCX1d\",\"en_api_index.md\":\"Dj_5nFTt\",\"en_api_mp_math_angle.md\":\"Dgb5qA7e\",\"en_api_mp_math_const.md\":\"gGpXUShq\",\"en_api_mp_math_equation.md\":\"BNTh5S3G\",\"en_api_mp_math_function.md\":\"CKbXJNVH\",\"en_api_mp_math_index.md\":\"BEjLBMpH\",\"en_api_mp_math_line.md\":\"BkGvfNB7\",\"en_api_mp_math_mp_math.md\":\"D6ihYPav\",\"en_api_mp_math_mp_math_typing.md\":\"Dnl2aJQ4\",\"en_api_mp_math_plane.md\":\"IO0Boeqk\",\"en_api_mp_math_point.md\":\"BfLB2Pov\",\"en_api_mp_math_segment.md\":\"4UlH6aD-\",\"en_api_mp_math_utils.md\":\"a8Vzn8__\",\"en_api_mp_math_vector.md\":\"CG9JbG4z\",\"en_api_particle_index.md\":\"BfyNQiRg\",\"en_api_particle_particle.md\":\"BNkfEyJn\",\"en_api_presets_index.md\":\"BWb2fpTg\",\"en_api_presets_model_index.md\":\"DIdYh3vo\",\"en_api_presets_model_model.md\":\"Dp27PGgh\",\"en_api_presets_presets.md\":\"CCUzsYog\",\"en_guide_index.md\":\"DrDHTYCZ\",\"en_index.md\":\"BSTSOH39\",\"en_refer_index.md\":\"alw4L-bp\",\"guide_index.md\":\"Cfmzk2IH\",\"index.md\":\"CNF8LJa0\",\"ja_api_api.md\":\"CPz58qIw\",\"ja_api_index.md\":\"CnUeuifx\",\"ja_api_mp_math_angle.md\":\"R64H2-ob\",\"ja_api_mp_math_const.md\":\"DGXAgDfn\",\"ja_api_mp_math_equation.md\":\"bBbnLveW\",\"ja_api_mp_math_function.md\":\"KS50DwZu\",\"ja_api_mp_math_index.md\":\"CTZZ-p9Z\",\"ja_api_mp_math_line.md\":\"B3oNfIkI\",\"ja_api_mp_math_mp_math.md\":\"D-prC0UO\",\"ja_api_mp_math_mp_math_typing.md\":\"BNymgrCT\",\"ja_api_mp_math_plane.md\":\"DFKYhl6m\",\"ja_api_mp_math_point.md\":\"CQIfQely\",\"ja_api_mp_math_segment.md\":\"y5HJ_Cqz\",\"ja_api_mp_math_utils.md\":\"RNFMo8bK\",\"ja_api_mp_math_vector.md\":\"NRH_z6Ha\",\"ja_api_particle_index.md\":\"Jr41Y3TS\",\"ja_api_particle_particle.md\":\"exTt46pq\",\"ja_api_presets_index.md\":\"CQqdQbIZ\",\"ja_api_presets_model_index.md\":\"CubDnh2b\",\"ja_api_presets_model_model.md\":\"Dqxl5NOT\",\"ja_api_presets_presets.md\":\"DwzXdDqR\",\"ja_guide_index.md\":\"BxGnZYwR\",\"ja_index.md\":\"DCWiTENz\",\"ja_refer_index.md\":\"CODW6iMX\",\"refer_function_curry.md\":\"DwKZawp5\",\"refer_function_function.md\":\"D3IgfZX2\",\"refer_index.md\":\"CczYTl3j\",\"zht_api_api.md\":\"DyUSHA0S\",\"zht_api_index.md\":\"CgZH6aHQ\",\"zht_api_mp_math_angle.md\":\"UUc3s3KL\",\"zht_api_mp_math_const.md\":\"xwQvuYck\",\"zht_api_mp_math_equation.md\":\"DkZNMC3t\",\"zht_api_mp_math_function.md\":\"CYwI6A0a\",\"zht_api_mp_math_index.md\":\"mmeMMriu\",\"zht_api_mp_math_line.md\":\"ByORXAGU\",\"zht_api_mp_math_mp_math.md\":\"C302rxKc\",\"zht_api_mp_math_mp_math_typing.md\":\"CNiSnuMw\",\"zht_api_mp_math_plane.md\":\"DL8PMQ01\",\"zht_api_mp_math_point.md\":\"FCf8N9tu\",\"zht_api_mp_math_segment.md\":\"B62sPC-7\",\"zht_api_mp_math_utils.md\":\"es0XyXO5\",\"zht_api_mp_math_vector.md\":\"8hzEA9LV\",\"zht_api_particle_index.md\":\"8GaGB1ul\",\"zht_api_particle_particle.md\":\"huuRTEb9\",\"zht_api_presets_index.md\":\"DvOViSox\",\"zht_api_presets_model_index.md\":\"C7QkAD_l\",\"zht_api_presets_model_model.md\":\"aGdpVmbK\",\"zht_api_presets_presets.md\":\"CsDHjRbK\",\"zht_guide_index.md\":\"CsuFVFxu\",\"zht_index.md\":\"VMjJ0lpj\",\"zht_refer_index.md\":\"Bz6voxEQ\"}");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\":\"mbcp\",\"link\":\"api\"},{\"text\":\"mbcp.mp_math\",\"link\":\"mp_math/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\":\"mbcp.particle\",\"link\":\"particle/particle\",\"items\":[{\"text\":\"mbcp.particle\",\"link\":\"particle/\"}],\"collapsed\":true},{\"text\":\"mbcp.presets\",\"link\":\"presets/presets\",\"items\":[{\"text\":\"mbcp.presets\",\"link\":\"presets/\"},{\"text\":\"mbcp.presets.model\",\"link\":\"presets/model/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\":\"mbcp\",\"link\":\"api\"},{\"text\":\"mbcp.mp_math\",\"link\":\"mp_math/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\":\"mbcp.particle\",\"link\":\"particle/particle\",\"items\":[{\"text\":\"mbcp.particle\",\"link\":\"particle/\"}],\"collapsed\":true},{\"text\":\"mbcp.presets\",\"link\":\"presets/presets\",\"items\":[{\"text\":\"mbcp.presets\",\"link\":\"presets/\"},{\"text\":\"mbcp.presets.model\",\"link\":\"presets/model/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\":\"mbcp\",\"link\":\"api\"},{\"text\":\"mbcp.mp_math\",\"link\":\"mp_math/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\":\"mbcp.particle\",\"link\":\"particle/particle\",\"items\":[{\"text\":\"mbcp.particle\",\"link\":\"particle/\"}],\"collapsed\":true},{\"text\":\"mbcp.presets\",\"link\":\"presets/presets\",\"items\":[{\"text\":\"mbcp.presets\",\"link\":\"presets/\"},{\"text\":\"mbcp.presets.model\",\"link\":\"presets/model/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\":\"mbcp\",\"link\":\"api\"},{\"text\":\"mbcp.mp_math\",\"link\":\"mp_math/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\":\"mbcp.particle\",\"link\":\"particle/particle\",\"items\":[{\"text\":\"mbcp.particle\",\"link\":\"particle/\"}],\"collapsed\":true},{\"text\":\"mbcp.presets\",\"link\":\"presets/presets\",\"items\":[{\"text\":\"mbcp.presets\",\"link\":\"presets/\"},{\"text\":\"mbcp.presets.model\",\"link\":\"presets/model/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\"}],\"outline\":[2,6]},\"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 return `https://github.com/snowykami/mbcp/tree/main/mbcp/${filePath}`;\\n } else {\\n return `https://github.com/snowykami/mbcp/tree/main/docs/${filePath}`;\\n }\\n }\",\"text\":\"在 GitHub 上编辑此页\"},\"footer\":{\"message\":\"文档由 <a href=\\\"https://vitepress.dev/\\\">VitePress</a> 构建 | API引用由 <a href=\\\"https://github.com/LiteyukiStudio/litedoc\\\">litedoc</a> 生成\",\"copyright\":\"Copyright (C) 2020-2024 SnowyKami. All Rights Reserved\"},\"outline\":{\"label\":\"页面内容\",\"level\":[2,6]}}},\"en\":{\"label\":\"English\",\"lang\":\"en-US\",\"title\":\"MBCP docs\",\"description\":\"MBCP library docs\",\"themeConfig\":{\"nav\":[{\"text\":\"Get Start\",\"link\":\"/en/guide/\"},{\"text\":\"Reference\",\"link\":\"/en/refer\"},{\"text\":\"API Reference\",\"link\":\"/en/api/\"},{\"text\":\"Demo\",\"link\":\"/en/demo/\"}],\"docFooter\":{\"prev\":\"Prev Page\",\"next\":\"Next Page\"},\"editLink\":{\"pattern\":\"_vp-fn_({ filePath }) => {\\n const regex = /^[^\\\\/]+\\\\/api/;\\n if (regex.test(filePath)) {\\n filePath = filePath.replace(regex, \\\"\\\").replace(\\\"index.md\\\", \\\"__init__.py\\\").replace(\\\".md\\\", \\\".py\\\");\\n return `https://github.com/snowykami/mbcp/tree/main/mbcp/${filePath}`;\\n } else {\\n return `https://github.com/snowykami/mbcp/tree/main/docs/${filePath}`;\\n }\\n }\",\"text\":\"Edit this page on GitHub\"},\"footer\":{\"message\":\"Documentation built with <a href=\\\"https://vitepress.dev/\\\">VitePress</a> | API references generated by <a href=\\\"https://github.com/LiteyukiStudio/litedoc\\\">litedoc</a>\",\"copyright\":\"Copyright (C) 2020-2024 SnowyKami. All Rights Reserved\"},\"outline\":{\"label\":\"On this page\",\"level\":[2,6]}}},\"ja\":{\"label\":\"日本語\",\"lang\":\"ja-JP\",\"title\":\"MBCP ドキュメント\",\"description\":\"MBCP ライブラリ ドキュメント\",\"themeConfig\":{\"nav\":[{\"text\":\"スタート\",\"link\":\"/ja/guide/\"},{\"text\":\"リファレンス\",\"link\":\"/ja/refer\"},{\"text\":\"APIリファレンス\",\"link\":\"/ja/api/\"},{\"text\":\"インスタンス\",\"link\":\"/ja/demo/\"}],\"docFooter\":{\"prev\":\"前のページ\",\"next\":\"次のページ\"},\"editLink\":{\"pattern\":\"_vp-fn_({ filePath }) => {\\n const regex = /^[^\\\\/]+\\\\/api/;\\n if (regex.test(filePath)) {\\n filePath = filePath.replace(regex, \\\"\\\").replace(\\\"index.md\\\", \\\"__init__.py\\\").replace(\\\".md\\\", \\\".py\\\");\\n return `https://github.com/snowykami/mbcp/tree/main/mbcp/${filePath}`;\\n } else {\\n return `https://github.com/snowykami/mbcp/tree/main/docs/${filePath}`;\\n }\\n }\",\"text\":\"このページをGitHubで編集する\"},\"footer\":{\"message\":\"<a href=\\\"https://vitepress.dev/\\\">VitePress</a> で構築されたドキュメント | <a href=\\\"https://github.com/LiteyukiStudio/litedoc\\\">litedoc</a> によって生成されたAPIリファレンス\",\"copyright\":\"Copyright (C) 2020-2024 SnowyKami. All Rights Reserved\"},\"outline\":{\"label\":\"このページについて\",\"level\":[2,6]}}},\"zht\":{\"label\":\"繁體中文\",\"lang\":\"zh-Hant\",\"title\":\"MBCP 文檔\",\"description\":\"MBCP 粒子計算和生成庫文檔\",\"themeConfig\":{\"nav\":[{\"text\":\"指引\",\"link\":\"/zht/guide/\"},{\"text\":\"參考\",\"link\":\"/zht/refer\"},{\"text\":\"API引用\",\"link\":\"/zht/api/\"},{\"text\":\"示範\",\"link\":\"/zht/demo/\"}],\"docFooter\":{\"prev\":\"上一頁\",\"next\":\"下一頁\"},\"editLink\":{\"pattern\":\"_vp-fn_({ filePath }) => {\\n const regex = /^[^\\\\/]+\\\\/api/;\\n if (regex.test(filePath)) {\\n filePath = filePath.replace(regex, \\\"\\\").replace(\\\"index.md\\\", \\\"__init__.py\\\").replace(\\\".md\\\", \\\".py\\\");\\n return `https://github.com/snowykami/mbcp/tree/main/mbcp/${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> |