mirror of
https://github.com/snowykami/mbcp.git
synced 2024-11-23 23:05:04 +08:00
243 lines
81 KiB
HTML
243 lines
81 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\nmath.plane | MBCP docs</title>
|
||
<meta name="description" content="一个用于Minecraft粒子计算和生成的库">
|
||
<meta name="generator" content="VitePress v1.3.4">
|
||
<link rel="preload stylesheet" href="/assets/style.Bb0QBJmh.css" as="style">
|
||
|
||
<script type="module" src="/assets/app.l1Ut0uce.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.BPuUWxkA.js">
|
||
<link rel="modulepreload" href="/assets/chunks/framework.BV61Qrc0.js">
|
||
<link rel="modulepreload" href="/assets/api_mp_math_plane.md.Cdj0PlKB.lean.js">
|
||
<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-8e016544><!--[--><!--]--><!--[--><span tabindex="-1" data-v-efdf7a7d></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-efdf7a7d> Skip to content </a><!--]--><!----><header class="VPNav" data-v-8e016544 data-v-0c3b3583><div class="VPNavBar top" data-v-0c3b3583 data-v-af8d762d><div class="wrapper" data-v-af8d762d><div class="container" data-v-af8d762d><div class="title" data-v-af8d762d><div class="VPNavBarTitle" data-v-af8d762d data-v-73c882b0><a class="title" href="/" data-v-73c882b0><!--[--><!--]--><!----><span data-v-73c882b0>MBCP docs</span><!--[--><!--]--></a></div></div><div class="content" data-v-af8d762d><div class="content-body" data-v-af8d762d><!--[--><!--]--><div class="VPNavBarSearch search" data-v-af8d762d><!----></div><!----><div class="VPFlyout VPNavBarTranslations translations" data-v-af8d762d data-v-ba521018 data-v-6d56b0ed><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="Change language" data-v-6d56b0ed><span class="text" data-v-6d56b0ed><span class="vpi-languages option-icon" data-v-6d56b0ed></span><!----><span class="vpi-chevron-down text-icon" data-v-6d56b0ed></span></span></button><div class="menu" data-v-6d56b0ed><div class="VPMenu" data-v-6d56b0ed data-v-36a6a4be><!----><!--[--><!--[--><div class="items" data-v-ba521018><p class="title" data-v-ba521018>简体中文</p><!--[--><div class="VPMenuLink" data-v-ba521018 data-v-a9b5eada><a class="VPLink link" href="/en/api/mp_math/plane.html" data-v-a9b5eada><!--[-->English<!--]--></a></div><!--]--></div><!--]--><!--]--></div></div></div><div class="VPNavBarAppearance appearance" data-v-af8d762d data-v-fd625bab><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-fd625bab data-v-38c704f2 data-v-793caf05><span class="check" data-v-793caf05><span class="icon" data-v-793caf05><!--[--><span class="vpi-sun sun" data-v-38c704f2></span><span class="vpi-moon moon" data-v-38c704f2></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-af8d762d data-v-9b3d2141 data-v-0ada25a4><!--[--><a class="VPSocialLink no-icon" href="https://github.com/snowykami/mbcp" aria-label="github" target="_blank" rel="noopener" data-v-0ada25a4 data-v-36d54f99><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-af8d762d data-v-8ac0e455 data-v-6d56b0ed><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-6d56b0ed><span class="vpi-more-horizontal icon" data-v-6d56b0ed></span></button><div class="menu" data-v-6d56b0ed><div class="VPMenu" data-v-6d56b0ed data-v-36a6a4be><!----><!--[--><!--[--><div class="group translations" data-v-8ac0e455><p class="trans-title" data-v-8ac0e455>简体中文</p><!--[--><div class="VPMenuLink" data-v-8ac0e455 data-v-a9b5eada><a class="VPLink link" href="/en/api/mp_math/plane.html" data-v-a9b5eada><!--[-->English<!--]--></a></div><!--]--></div><div class="group" data-v-8ac0e455><div class="item appearance" data-v-8ac0e455><p class="label" data-v-8ac0e455>Appearance</p><div class="appearance-action" data-v-8ac0e455><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-8ac0e455 data-v-38c704f2 data-v-793caf05><span class="check" data-v-793caf05><span class="icon" data-v-793caf05><!--[--><span class="vpi-sun sun" data-v-38c704f2></span><span class="vpi-moon moon" data-v-38c704f2></span><!--]--></span></span></button></div></div></div><div class="group" data-v-8ac0e455><div class="item social-links" data-v-8ac0e455><div class="VPSocialLinks social-links-list" data-v-8ac0e455 data-v-0ada25a4><!--[--><a class="VPSocialLink no-icon" href="https://github.com/snowykami/mbcp" aria-label="github" target="_blank" rel="noopener" data-v-0ada25a4 data-v-36d54f99><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-af8d762d data-v-9b302893><span class="container" data-v-9b302893><span class="top" data-v-9b302893></span><span class="middle" data-v-9b302893></span><span class="bottom" data-v-9b302893></span></span></button></div></div></div></div><div class="divider" data-v-af8d762d><div class="divider-line" data-v-af8d762d></div></div></div><!----></header><div class="VPLocalNav empty fixed" data-v-8e016544 data-v-513d39e6><div class="container" data-v-513d39e6><!----><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-513d39e6 data-v-c4b0adf9><button data-v-c4b0adf9>Return to top</button><!----></div></div></div><!----><div class="VPContent" id="VPContent" data-v-8e016544 data-v-4fa77a91><div class="VPDoc has-aside" data-v-4fa77a91 data-v-aa782c77><!--[--><!--]--><div class="container" data-v-aa782c77><div class="aside" data-v-aa782c77><div class="aside-curtain" data-v-aa782c77></div><div class="aside-container" data-v-aa782c77><div class="aside-content" data-v-aa782c77><div class="VPDocAside" data-v-aa782c77 data-v-9030d96a><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-9030d96a data-v-e9eccece><div class="content" data-v-e9eccece><div class="outline-marker" data-v-e9eccece></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-e9eccece>On this page</div><ul class="VPDocOutlineItem root" data-v-e9eccece data-v-f55eb20b><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-9030d96a></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-aa782c77><div class="content-container" data-v-aa782c77><!--[--><!--]--><main class="main" data-v-aa782c77><div style="position:relative;" class="vp-doc _api_mp_math_plane" data-v-aa782c77><div><h3 id="class-plane3" tabindex="-1"><em><strong>class</strong></em> <code>Plane3</code> <a class="header-anchor" href="#class-plane3" aria-label="Permalink to "***class*** `Plane3`""></a></h3><h3 id="emsp-def-init-self-a-float-b-float-c-float-d-float-none" tabindex="-1"> <em><strong>def</strong></em> <code>__init__(self, a: float, b: float, c: float, d: float) -> None</code> <a class="header-anchor" href="#emsp-def-init-self-a-float-b-float-c-float-d-float-none" aria-label="Permalink to "&emsp; ***def*** `__init__(self, a: float, b: float, c: float, d: float) -> None`""></a></h3><p> 平面方程:ax + by + cz + d = 0</p><p>Args:</p><pre><code>a:
|
||
|
||
b:
|
||
|
||
c:
|
||
|
||
d:
|
||
</code></pre><details><summary>源代码</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, a: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, b: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, c: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, d: </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;"> 平面方程:ax + by + cz + d = 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;"> a:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> b:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> c:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> d:</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;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> a</span></span>
|
||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> b</span></span>
|
||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> c</span></span>
|
||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> d</span></span></code></pre></div></details><h3 id="emsp-def-approx-self-other-plane3-epsilon-float-bool" tabindex="-1"> <em><strong>def</strong></em> <code>approx(self, other: 'Plane3', epsilon: float) -> bool</code> <a class="header-anchor" href="#emsp-def-approx-self-other-plane3-epsilon-float-bool" aria-label="Permalink to "&emsp; ***def*** `approx(self, other: 'Plane3', epsilon: float) -> bool`""></a></h3><p> 判断两个平面是否近似相等。</p><p>Args:</p><pre><code>other:
|
||
|
||
epsilon:
|
||
</code></pre><p>Returns:</p><pre><code>是否近似相等
|
||
</code></pre><details><summary>源代码</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;">'Plane3'</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;"> 判断两个平面是否近似相等。</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:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon:</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;"> 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;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </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:#24292E;--shiki-dark:#E1E4E8;"> k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.a </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;">.a</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.b, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.c, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.d, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k)</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;">.b </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:#24292E;--shiki-dark:#E1E4E8;"> k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.b </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;">.b</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.a, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.c, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.d, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k)</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;">.c </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:#24292E;--shiki-dark:#E1E4E8;"> k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.c </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;">.c</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.a, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.b, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.d, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k)</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;"> False</span></span></code></pre></div></details><h3 id="emsp-def-cal-angle-self-other-line3-plane3-anyangle" tabindex="-1"> <em><strong>def</strong></em> <code>cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle'</code> <a class="header-anchor" href="#emsp-def-cal-angle-self-other-line3-plane3-anyangle" aria-label="Permalink to "&emsp; ***def*** `cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle'`""></a></h3><p> 计算平面与平面之间的夹角。</p><p>Args:</p><pre><code>other: 另一个平面
|
||
</code></pre><p>Returns:</p><pre><code>夹角弧度
|
||
</code></pre><p>Raises:</p><pre><code>TypeError: 不支持的类型
|
||
</code></pre><details><summary>源代码</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 | Plane3'</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;"> 计算平面与平面之间的夹角。</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: 另一个平面</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;"> 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;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal.cal_angle(other.direction).complementary</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, Plane3):</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(math.acos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">@</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.normal </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;">.normal.length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.normal.length)), </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Unsupported type: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="emsp-def-cal-distance-self-other-plane3-point3-float" tabindex="-1"> <em><strong>def</strong></em> <code>cal_distance(self, other: 'Plane3 | Point3') -> float</code> <a class="header-anchor" href="#emsp-def-cal-distance-self-other-plane3-point3-float" aria-label="Permalink to "&emsp; ***def*** `cal_distance(self, other: 'Plane3 | Point3') -> float`""></a></h3><p> 计算平面与平面或点之间的距离。</p><p>Args:</p><pre><code>other: 另一个平面或点
|
||
</code></pre><p>Returns:</p><pre><code>距离
|
||
</code></pre><p>Raises:</p><pre><code>TypeError: 不支持的类型
|
||
</code></pre><details><summary>源代码</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;">'Plane3 | 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;"> 计算平面与平面或点之间的距离。</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: 另一个平面或点</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 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, Plane3):</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:#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;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d) </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;">.a </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;">.b </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;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0.5</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Unsupported type: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="emsp-def-cal-intersection-line3-self-other-plane3-line3" tabindex="-1"> <em><strong>def</strong></em> <code>cal_intersection_line3(self, other: 'Plane3') -> 'Line3'</code> <a class="header-anchor" href="#emsp-def-cal-intersection-line3-self-other-plane3-line3" aria-label="Permalink to "&emsp; ***def*** `cal_intersection_line3(self, other: 'Plane3') -> 'Line3'`""></a></h3><p> 计算两平面的交线。该方法有问题,待修复。</p><p>Args:</p><pre><code>other: 另一个平面
|
||
</code></pre><p>Returns:</p><pre><code>交线
|
||
</code></pre><p>Raises:</p><details><summary>源代码</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_line3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Plane3'</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;"> 计算两平面的交线。该方法有问题,待修复。</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: 另一个平面</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;"> 交线</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;"> """</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;">.normal.is_parallel(other.normal):</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;">'Planes are parallel and have no intersection.'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</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:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal.cross(other.normal)</span></span>
|
||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, y, z </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;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</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:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.a </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:#24292E;--shiki-dark:#E1E4E8;"> A </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c], [other.b, other.c]])</span></span>
|
||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> B </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([</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;">.d, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">other.d])</span></span>
|
||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.linalg.solve(A, B)</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;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.b </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:#24292E;--shiki-dark:#E1E4E8;"> A </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c], [other.a, other.c]])</span></span>
|
||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> B </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([</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;">.d, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">other.d])</span></span>
|
||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.linalg.solve(A, B)</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;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.c </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:#24292E;--shiki-dark:#E1E4E8;"> A </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b], [other.a, other.b]])</span></span>
|
||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> B </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([</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;">.d, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">other.d])</span></span>
|
||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.linalg.solve(A, B)</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Line3(Point3(x, y, z), direction)</span></span></code></pre></div></details><h3 id="emsp-def-cal-intersection-point3-self-other-line3-point3" tabindex="-1"> <em><strong>def</strong></em> <code>cal_intersection_point3(self, other: 'Line3') -> 'Point3'</code> <a class="header-anchor" href="#emsp-def-cal-intersection-point3-self-other-line3-point3" aria-label="Permalink to "&emsp; ***def*** `cal_intersection_point3(self, other: 'Line3') -> 'Point3'`""></a></h3><p> 计算平面与直线的交点。</p><p>Args:</p><pre><code>other: 不与平面平行或在平面上的直线
|
||
</code></pre><p>Returns:</p><pre><code>交点
|
||
</code></pre><p>Raises:</p><pre><code>ValueError: 平面与直线平行或重合
|
||
</code></pre><details><summary>源代码</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_point3</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;"> 计算平面与直线的交点。</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: 不与平面平行或在平面上的直线</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: 平面与直线平行或重合</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;">.normal </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">@</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.direction </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:#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;">'The plane and the line are parallel or coincident.'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
|
||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, y, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.get_parametric_equations()</span></span>
|
||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</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;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.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;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.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;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.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;">.d) </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;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.direction.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;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.direction.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;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.direction.z)</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(x(t), y(t), z(t))</span></span></code></pre></div></details><h3 id="emsp-def-cal-parallel-plane3-self-point-point3-plane3" tabindex="-1"> <em><strong>def</strong></em> <code>cal_parallel_plane3(self, point: 'Point3') -> 'Plane3'</code> <a class="header-anchor" href="#emsp-def-cal-parallel-plane3-self-point-point3-plane3" aria-label="Permalink to "&emsp; ***def*** `cal_parallel_plane3(self, point: 'Point3') -> 'Plane3'`""></a></h3><p> 计算平行于该平面且过指定点的平面。</p><p>Args:</p><pre><code>point: 指定点
|
||
</code></pre><p>Returns:</p><pre><code>平面
|
||
</code></pre><details><summary>源代码</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_parallel_plane3</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;">'Plane3'</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;"> 计算平行于该平面且过指定点的平面。</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;"> 平面</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:#24292E;--shiki-dark:#E1E4E8;"> Plane3.from_point_and_normal(point, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal)</span></span></code></pre></div></details><h3 id="emsp-def-is-parallel-self-other-plane3-bool" tabindex="-1"> <em><strong>def</strong></em> <code>is_parallel(self, other: 'Plane3') -> bool</code> <a class="header-anchor" href="#emsp-def-is-parallel-self-other-plane3-bool" aria-label="Permalink to "&emsp; ***def*** `is_parallel(self, other: 'Plane3') -> bool`""></a></h3><p> 判断两个平面是否平行。</p><p>Args:</p><pre><code>other: 另一个平面
|
||
</code></pre><p>Returns:</p><pre><code>是否平行
|
||
</code></pre><details><summary>源代码</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;">'Plane3'</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;"> 判断两个平面是否平行。</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: 另一个平面</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;">.normal.is_parallel(other.normal)</span></span></code></pre></div></details><h3 id="emsp-property" tabindex="-1"> <em><strong>@property</strong></em> <a class="header-anchor" href="#emsp-property" aria-label="Permalink to "&emsp; ***@property***""></a></h3><h3 id="emsp-def-normal-self-any-vector3" tabindex="-1"> <em><strong>def</strong></em> <code>normal(self: Any) -> 'Vector3'</code> <a class="header-anchor" href="#emsp-def-normal-self-any-vector3" aria-label="Permalink to "&emsp; ***def*** `normal(self: Any) -> 'Vector3'`""></a></h3><p> 平面的法向量。</p><p>Returns:</p><pre><code>法向量
|
||
</code></pre><details><summary>源代码</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> normal</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -> </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;"> 平面的法向量。</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 法向量</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;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c)</span></span></code></pre></div></details><h3 id="emsp-classmethod" tabindex="-1"> <em><strong>@classmethod</strong></em> <a class="header-anchor" href="#emsp-classmethod" aria-label="Permalink to "&emsp; ***@classmethod***""></a></h3><h3 id="emsp-def-from-point-and-normal-cls-any-point-point3-normal-vector3-plane3" tabindex="-1"> <em><strong>def</strong></em> <code>from_point_and_normal(cls: Any, point: 'Point3', normal: 'Vector3') -> 'Plane3'</code> <a class="header-anchor" href="#emsp-def-from-point-and-normal-cls-any-point-point3-normal-vector3-plane3" aria-label="Permalink to "&emsp; ***def*** `from_point_and_normal(cls: Any, point: 'Point3', normal: 'Vector3') -> 'Plane3'`""></a></h3><p> 工厂函数 由点和法向量构造平面(点法式构造)。</p><p>Args:</p><pre><code>point: 平面上的一点
|
||
|
||
normal: 法向量
|
||
</code></pre><p>Returns:</p><pre><code>平面
|
||
</code></pre><details><summary>源代码</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_point_and_normal</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cls, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, normal: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Plane3'</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 由点和法向量构造平面(点法式构造)。</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: 平面上的一点</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> normal: 法向量</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 平面</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;"> a, b, c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (normal.x, normal.y, normal.z)</span></span>
|
||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> d </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</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:#24292E;--shiki-dark:#E1E4E8;"> b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</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:#24292E;--shiki-dark:#E1E4E8;"> c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> point.z</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;">(a, b, c, d)</span></span></code></pre></div></details><h3 id="emsp-classmethod-1" tabindex="-1"> <em><strong>@classmethod</strong></em> <a class="header-anchor" href="#emsp-classmethod-1" aria-label="Permalink to "&emsp; ***@classmethod***""></a></h3><h3 id="emsp-def-from-three-points-cls-any-p1-point3-p2-point3-p3-point3-plane3" tabindex="-1"> <em><strong>def</strong></em> <code>from_three_points(cls: Any, p1: 'Point3', p2: 'Point3', p3: 'Point3') -> 'Plane3'</code> <a class="header-anchor" href="#emsp-def-from-three-points-cls-any-p1-point3-p2-point3-p3-point3-plane3" aria-label="Permalink to "&emsp; ***def*** `from_three_points(cls: Any, p1: 'Point3', p2: 'Point3', p3: 'Point3') -> 'Plane3'`""></a></h3><p> 工厂函数 由三点构造平面。</p><p>Args:</p><pre><code>p1: 点1
|
||
|
||
p2: 点2
|
||
|
||
p3: 点3
|
||
</code></pre><p>Returns:</p><pre><code>平面
|
||
</code></pre><details><summary>源代码</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_three_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;">, p3: </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;">'Plane3'</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 由三点构造平面。</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;"> p3: 点3</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;"> 平面</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;"> v1 </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:#24292E;--shiki-dark:#E1E4E8;"> v2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p3 </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:#24292E;--shiki-dark:#E1E4E8;"> normal </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v1.cross(v2)</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;">.from_point_and_normal(p1, normal)</span></span></code></pre></div></details><h3 id="emsp-classmethod-2" tabindex="-1"> <em><strong>@classmethod</strong></em> <a class="header-anchor" href="#emsp-classmethod-2" aria-label="Permalink to "&emsp; ***@classmethod***""></a></h3><h3 id="emsp-def-from-two-lines-cls-any-l1-line3-l2-line3-plane3" tabindex="-1"> <em><strong>def</strong></em> <code>from_two_lines(cls: Any, l1: 'Line3', l2: 'Line3') -> 'Plane3'</code> <a class="header-anchor" href="#emsp-def-from-two-lines-cls-any-l1-line3-l2-line3-plane3" aria-label="Permalink to "&emsp; ***def*** `from_two_lines(cls: Any, l1: 'Line3', l2: 'Line3') -> 'Plane3'`""></a></h3><p> 工厂函数 由两直线构造平面。</p><p>Args:</p><pre><code>l1: 直线1
|
||
|
||
l2: 直线2
|
||
</code></pre><p>Returns:</p><pre><code>平面
|
||
</code></pre><details><summary>源代码</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_lines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cls, l1: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, l2: </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;">'Plane3'</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 由两直线构造平面。</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;"> l1: 直线1</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> l2: 直线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;"> 平面</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;"> v1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> l1.direction</span></span>
|
||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> l2.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> l1.point</span></span>
|
||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> zero_vector3:</span></span>
|
||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> l2.get_point(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> l1.point</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;">.from_point_and_normal(l1.point, v1.cross(v2))</span></span></code></pre></div></details><h3 id="emsp-classmethod-3" tabindex="-1"> <em><strong>@classmethod</strong></em> <a class="header-anchor" href="#emsp-classmethod-3" aria-label="Permalink to "&emsp; ***@classmethod***""></a></h3><h3 id="emsp-def-from-point-and-line-cls-any-point-point3-line-line3-plane3" tabindex="-1"> <em><strong>def</strong></em> <code>from_point_and_line(cls: Any, point: 'Point3', line: 'Line3') -> 'Plane3'</code> <a class="header-anchor" href="#emsp-def-from-point-and-line-cls-any-point-point3-line-line3-plane3" aria-label="Permalink to "&emsp; ***def*** `from_point_and_line(cls: Any, point: 'Point3', line: 'Line3') -> 'Plane3'`""></a></h3><p> 工厂函数 由点和直线构造平面。</p><p>Args:</p><pre><code>point: 面上一点
|
||
|
||
line: 面上直线,不包含点
|
||
</code></pre><p>Returns:</p><pre><code>平面
|
||
</code></pre><details><summary>源代码</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_point_and_line</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cls, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, line: </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;">'Plane3'</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 由点和直线构造平面。</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: 面上一点</span></span>
|
||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> line: 面上直线,不包含点</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;"> 平面</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;"> cls</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.from_point_and_normal(point, line.direction)</span></span></code></pre></div></details><h3 id="var-direction-self-normal-cross-other-normal" tabindex="-1"><em><strong>var</strong></em> <code>direction = self.normal.cross(other.normal)</code> <a class="header-anchor" href="#var-direction-self-normal-cross-other-normal" aria-label="Permalink to "***var*** `direction = self.normal.cross(other.normal)`""></a></h3><h3 id="var-t-self-a-other-point-x-self-b-other-point-y-self-c-other-point-z-self-d-self-a-other-direction-x-self-b-other-direction-y-self-c-other-direction-z" tabindex="-1"><em><strong>var</strong></em> <code>t = -(self.a * other.point.x + self.b * other.point.y + self.c * other.point.z + self.d) / (self.a * other.direction.x + self.b * other.direction.y + self.c * other.direction.z)</code> <a class="header-anchor" href="#var-t-self-a-other-point-x-self-b-other-point-y-self-c-other-point-z-self-d-self-a-other-direction-x-self-b-other-direction-y-self-c-other-direction-z" aria-label="Permalink to "***var*** `t = -(self.a * other.point.x + self.b * other.point.y + self.c * other.point.z + self.d) / (self.a * other.direction.x + self.b * other.direction.y + self.c * other.direction.z)`""></a></h3><h3 id="var-d-a-point-x-b-point-y-c-point-z" tabindex="-1"><em><strong>var</strong></em> <code>d = -a * point.x - b * point.y - c * point.z</code> <a class="header-anchor" href="#var-d-a-point-x-b-point-y-c-point-z" aria-label="Permalink to "***var*** `d = -a * point.x - b * point.y - c * point.z`""></a></h3><h3 id="var-v1-p2-p1" tabindex="-1"><em><strong>var</strong></em> <code>v1 = p2 - p1</code> <a class="header-anchor" href="#var-v1-p2-p1" aria-label="Permalink to "***var*** `v1 = p2 - p1`""></a></h3><h3 id="var-v2-p3-p1" tabindex="-1"><em><strong>var</strong></em> <code>v2 = p3 - p1</code> <a class="header-anchor" href="#var-v2-p3-p1" aria-label="Permalink to "***var*** `v2 = p3 - p1`""></a></h3><h3 id="var-normal-v1-cross-v2" tabindex="-1"><em><strong>var</strong></em> <code>normal = v1.cross(v2)</code> <a class="header-anchor" href="#var-normal-v1-cross-v2" aria-label="Permalink to "***var*** `normal = v1.cross(v2)`""></a></h3><h3 id="var-v1-l1-direction" tabindex="-1"><em><strong>var</strong></em> <code>v1 = l1.direction</code> <a class="header-anchor" href="#var-v1-l1-direction" aria-label="Permalink to "***var*** `v1 = l1.direction`""></a></h3><h3 id="var-v2-l2-point-l1-point" tabindex="-1"><em><strong>var</strong></em> <code>v2 = l2.point - l1.point</code> <a class="header-anchor" href="#var-v2-l2-point-l1-point" aria-label="Permalink to "***var*** `v2 = l2.point - l1.point`""></a></h3><h3 id="var-s-plane3" tabindex="-1"><em><strong>var</strong></em> <code>s = 'Plane3: '</code> <a class="header-anchor" href="#var-s-plane3" aria-label="Permalink to "***var*** `s = 'Plane3: '`""></a></h3><h3 id="var-k-other-a-self-a" tabindex="-1"><em><strong>var</strong></em> <code>k = other.a / self.a</code> <a class="header-anchor" href="#var-k-other-a-self-a" aria-label="Permalink to "***var*** `k = other.a / self.a`""></a></h3><h3 id="var-a-np-array-self-b-self-c-other-b-other-c" tabindex="-1"><em><strong>var</strong></em> <code>A = np.array([[self.b, self.c], [other.b, other.c]])</code> <a class="header-anchor" href="#var-a-np-array-self-b-self-c-other-b-other-c" aria-label="Permalink to "***var*** `A = np.array([[self.b, self.c], [other.b, other.c]])`""></a></h3><h3 id="var-b-np-array-self-d-other-d" tabindex="-1"><em><strong>var</strong></em> <code>B = np.array([-self.d, -other.d])</code> <a class="header-anchor" href="#var-b-np-array-self-d-other-d" aria-label="Permalink to "***var*** `B = np.array([-self.d, -other.d])`""></a></h3><h3 id="var-v2-l2-get-point-1-l1-point" tabindex="-1"><em><strong>var</strong></em> <code>v2 = l2.get_point(1) - l1.point</code> <a class="header-anchor" href="#var-v2-l2-get-point-1-l1-point" aria-label="Permalink to "***var*** `v2 = l2.get_point(1) - l1.point`""></a></h3><h3 id="var-k-other-b-self-b" tabindex="-1"><em><strong>var</strong></em> <code>k = other.b / self.b</code> <a class="header-anchor" href="#var-k-other-b-self-b" aria-label="Permalink to "***var*** `k = other.b / self.b`""></a></h3><h3 id="var-a-np-array-self-a-self-c-other-a-other-c" tabindex="-1"><em><strong>var</strong></em> <code>A = np.array([[self.a, self.c], [other.a, other.c]])</code> <a class="header-anchor" href="#var-a-np-array-self-a-self-c-other-a-other-c" aria-label="Permalink to "***var*** `A = np.array([[self.a, self.c], [other.a, other.c]])`""></a></h3><h3 id="var-b-np-array-self-d-other-d-1" tabindex="-1"><em><strong>var</strong></em> <code>B = np.array([-self.d, -other.d])</code> <a class="header-anchor" href="#var-b-np-array-self-d-other-d-1" aria-label="Permalink to "***var*** `B = np.array([-self.d, -other.d])`""></a></h3><h3 id="var-k-other-c-self-c" tabindex="-1"><em><strong>var</strong></em> <code>k = other.c / self.c</code> <a class="header-anchor" href="#var-k-other-c-self-c" aria-label="Permalink to "***var*** `k = other.c / self.c`""></a></h3><h3 id="var-a-np-array-self-a-self-b-other-a-other-b" tabindex="-1"><em><strong>var</strong></em> <code>A = np.array([[self.a, self.b], [other.a, other.b]])</code> <a class="header-anchor" href="#var-a-np-array-self-a-self-b-other-a-other-b" aria-label="Permalink to "***var*** `A = np.array([[self.a, self.b], [other.a, other.b]])`""></a></h3><h3 id="var-b-np-array-self-d-other-d-2" tabindex="-1"><em><strong>var</strong></em> <code>B = np.array([-self.d, -other.d])</code> <a class="header-anchor" href="#var-b-np-array-self-d-other-d-2" aria-label="Permalink to "***var*** `B = np.array([-self.d, -other.d])`""></a></h3></div></div></main><footer class="VPDocFooter" data-v-aa782c77 data-v-f33b051d><!--[--><!--]--><!----><!----></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><!----><!--[--><!--]--></div></div>
|
||
<script>window.__VP_HASH_MAP__=JSON.parse("{\"api-ex.md\":\"DOsKaL8H\",\"api_index.md\":\"CsKClHFh\",\"api_mp_math_angle.md\":\"9eUTSIe4\",\"api_mp_math_const.md\":\"Bhz27OPg\",\"api_mp_math_equation.md\":\"xiyFVY1c\",\"api_mp_math_index.md\":\"DTIfeUA1\",\"api_mp_math_line.md\":\"BybnyRUL\",\"api_mp_math_mp_math_typing.md\":\"DXaadYgy\",\"api_mp_math_plane.md\":\"Cdj0PlKB\",\"api_mp_math_point.md\":\"D3f-vzVt\",\"api_mp_math_segment.md\":\"DIViBThe\",\"api_mp_math_utils.md\":\"CDwq4icO\",\"api_mp_math_vector.md\":\"BgK1TmFY\",\"api_particle_index.md\":\"BqH-w2FR\",\"api_presets_index.md\":\"CvgR5vOS\",\"api_presets_model_index.md\":\"D1iZ1qEr\",\"index.md\":\"CJvRmMfL\",\"md-ex.md\":\"BX0WqOqv\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"en-US\",\"dir\":\"ltr\",\"title\":\"MBCP docs\",\"description\":\"MBCP library docs\",\"base\":\"/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/snowykami/mbcp\"}]},\"locales\":{\"root\":{\"label\":\"简体中文\",\"lang\":\"zh-Hans\",\"description\":\"一个用于Minecraft粒子计算和生成的库\",\"themeConfig\":{}},\"en\":{\"label\":\"English\",\"lang\":\"en-US\",\"description\":\"A library made for Minecraft particle generation\",\"themeConfig\":{}}},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
|
||
|
||
</body>
|
||
</html> |