Deploying to docs from @ snowykami/mbcp@124ff9a8ff 🚀

assets/api_api.md.BumpZuZu.js

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-import{_ as t,c as s,o as c,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/api.md","filePath":"zh/api/api.md"}'),o={name:"api/api.md"},p=e("h1",{id:"mbcp",tabindex:"-1"},[a("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"说明"),a(": 本模块塞了一些预设的粒子生成器")],-1),i=[p,r];function n(l,d,_,m,h,f){return c(),s("div",null,i)}const x=t(o,[["render",n]]);export{u as __pageData,x as default};

assets/api_api.md.BumpZuZu.lean.js

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-import{_ as t,c as s,o as c,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/api.md","filePath":"zh/api/api.md"}'),o={name:"api/api.md"},p=e("h1",{id:"mbcp",tabindex:"-1"},[a("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"说明"),a(": 本模块塞了一些预设的粒子生成器")],-1),i=[p,r];function n(l,d,_,m,h,f){return c(),s("div",null,i)}const x=t(o,[["render",n]]);export{u as __pageData,x as default};

assets/api_api.md.mzISWuiq.js

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+import{_ as t,c,o as p,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/api.md","filePath":"zh/api/api.md"}'),s={name:"api/api.md"},o=e("h1",{id:"mbcp",tabindex:"-1"},[a("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),l=e("p",null,[e("strong",null,"说明"),a(": 本模块是主模块，提供了一些工具 可导入 "),e("code",null,"mbcp.mp_math"),a("：数学工具 "),e("code",null,"mbcp.particle"),a("：粒子生成工具 "),e("code",null,"mbcp.presets"),a("：预设")],-1),r=[o,l];function n(i,d,m,_,h,b){return p(),c("div",null,r)}const x=t(s,[["render",n]]);export{f as __pageData,x as default};

assets/api_api.md.mzISWuiq.lean.js

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+import{_ as t,c,o as p,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/api.md","filePath":"zh/api/api.md"}'),s={name:"api/api.md"},o=e("h1",{id:"mbcp",tabindex:"-1"},[a("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),l=e("p",null,[e("strong",null,"说明"),a(": 本模块是主模块，提供了一些工具 可导入 "),e("code",null,"mbcp.mp_math"),a("：数学工具 "),e("code",null,"mbcp.particle"),a("：粒子生成工具 "),e("code",null,"mbcp.presets"),a("：预设")],-1),r=[o,l];function n(i,d,m,_,h,b){return p(),c("div",null,r)}const x=t(s,[["render",n]]);export{f as __pageData,x as default};

assets/api_index.md.DSljii6t.js

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+import{_ as a,c,o as s,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/index.md","filePath":"zh/api/index.md"}'),n={name:"api/index.md"},o=e("h1",{id:"mbcp",tabindex:"-1"},[t("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),l=e("p",null,[e("strong",null,"说明"),t(": 本模块是主模块，提供了一些工具 可导入 "),e("code",null,"mbcp.mp_math"),t("：数学工具 "),e("code",null,"mbcp.particle"),t("：粒子生成工具 "),e("code",null,"mbcp.presets"),t("：预设")],-1),p=[o,l];function r(d,i,m,_,h,b){return s(),c("div",null,p)}const x=a(n,[["render",r]]);export{f as __pageData,x as default};

assets/api_index.md.DSljii6t.lean.js

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+import{_ as a,c,o as s,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/index.md","filePath":"zh/api/index.md"}'),n={name:"api/index.md"},o=e("h1",{id:"mbcp",tabindex:"-1"},[t("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),l=e("p",null,[e("strong",null,"说明"),t(": 本模块是主模块，提供了一些工具 可导入 "),e("code",null,"mbcp.mp_math"),t("：数学工具 "),e("code",null,"mbcp.particle"),t("：粒子生成工具 "),e("code",null,"mbcp.presets"),t("：预设")],-1),p=[o,l];function r(d,i,m,_,h,b){return s(),c("div",null,p)}const x=a(n,[["render",r]]);export{f as __pageData,x as default};

assets/api_index.md.t5Hj1aJ1.js

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-import{_ as t,c as s,o as c,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/index.md","filePath":"zh/api/index.md"}'),n={name:"api/index.md"},o=e("h1",{id:"mbcp",tabindex:"-1"},[a("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"说明"),a(": 本模块塞了一些预设的粒子生成器")],-1),d=[o,r];function i(p,l,_,m,h,f){return c(),s("div",null,d)}const u=t(n,[["render",i]]);export{b as __pageData,u as default};

assets/api_index.md.t5Hj1aJ1.lean.js

@@ -1 +0,0 @@
-import{_ as t,c as s,o as c,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/index.md","filePath":"zh/api/index.md"}'),n={name:"api/index.md"},o=e("h1",{id:"mbcp",tabindex:"-1"},[a("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"说明"),a(": 本模块塞了一些预设的粒子生成器")],-1),d=[o,r];function i(p,l,_,m,h,f){return c(),s("div",null,d)}const u=t(n,[["render",i]]);export{b as __pageData,u as default};

assets/api_mp_math_angle.md.3Na5IaYp.js

@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/angle.md","filePath":"zh/api/mp_math/angle.md"}'),t={name:"api/mp_math/angle.md"},e=n(`<h1 id="mbcp-mp-math-angle" tabindex="-1">mbcp.mp_math.angle <a class="header-anchor" href="#mbcp-mp-math-angle" aria-label="Permalink to &quot;mbcp.mp_math.angle&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了角度相关的类</p><h3 id="class-angle" tabindex="-1"><em><strong>class</strong></em> <code>Angle</code> <a class="header-anchor" href="#class-angle" aria-label="Permalink to &quot;***class*** \`Angle\`&quot;">​</a></h3><h3 id="class-anyangle-angle" tabindex="-1"><em><strong>class</strong></em> <code>AnyAngle(Angle)</code> <a class="header-anchor" href="#class-anyangle-angle" aria-label="Permalink to &quot;***class*** \`AnyAngle(Angle)\`&quot;">​</a></h3><h4 id="def-init-self-value-float-is-radian-bool-false" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, value: float, is_radian: bool = False)</code> <a class="header-anchor" href="#def-init-self-value-float-is-radian-bool-false" aria-label="Permalink to &quot;***def*** \`__init__(self, value: float, is_radian: bool = False)\`&quot;">​</a></h4><p><strong>说明</strong>: 任意角度。</p><p><strong>参数</strong>:</p><blockquote><ul><li>value: 角度或弧度值</li><li>is_radian: 是否为弧度，默认为否</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L17" 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, value: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, is_radian: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">False</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
+import{_ as s,c as a,o as i,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/angle.md","filePath":"zh/api/mp_math/angle.md"}'),t={name:"api/mp_math/angle.md"},e=n(`<h1 id="mbcp-mp-math-angle" tabindex="-1">mbcp.mp_math.angle <a class="header-anchor" href="#mbcp-mp-math-angle" aria-label="Permalink to &quot;mbcp.mp_math.angle&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了角度相关的类</p><h3 id="class-angle" tabindex="-1"><em><strong>class</strong></em> <code>Angle</code> <a class="header-anchor" href="#class-angle" aria-label="Permalink to &quot;***class*** \`Angle\`&quot;">​</a></h3><h3 id="class-anyangle-angle" tabindex="-1"><em><strong>class</strong></em> <code>AnyAngle(Angle)</code> <a class="header-anchor" href="#class-anyangle-angle" aria-label="Permalink to &quot;***class*** \`AnyAngle(Angle)\`&quot;">​</a></h3><h4 id="def-init-self-value-float-is-radian-bool-false" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, value: float, is_radian: bool = False)</code> <a class="header-anchor" href="#def-init-self-value-float-is-radian-bool-false" aria-label="Permalink to &quot;***def*** \`__init__(self, value: float, is_radian: bool = False)\`&quot;">​</a></h4><p><strong>说明</strong>: 任意角度。</p><p><strong>参数</strong>:</p><blockquote><ul><li>value: 角度或弧度值</li><li>is_radian: 是否为弧度，默认为否</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L17" 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, value: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, is_radian: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">False</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        任意角度。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
@@ -8,77 +8,77 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> is_radian:</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> value</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:#005CC5;--shiki-dark:#79B8FF;">        self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> value </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 180</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-complementary-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>complementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-complementary-self-anyangle" aria-label="Permalink to &quot;***def*** \`complementary(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>说明</strong>: 余角：两角的和为90°。</p><p><strong>返回</strong>: 余角</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L30" 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;">property</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> value </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 180</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-complementary-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>complementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-complementary-self-anyangle" aria-label="Permalink to &quot;***def*** \`complementary(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>说明</strong>: 余角：两角的和为90°。</p><p><strong>返回</strong>: 余角</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L30" 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;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> complementary</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        余角：两角的和为90°。</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;">            余角</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PI</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;">.minimum_positive.radian, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-supplementary-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>supplementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-supplementary-self-anyangle" aria-label="Permalink to &quot;***def*** \`supplementary(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>说明</strong>: 补角：两角的和为180°。</p><p><strong>返回</strong>: 补角</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L39" 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;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PI</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;">.minimum_positive.radian, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-supplementary-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>supplementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-supplementary-self-anyangle" aria-label="Permalink to &quot;***def*** \`supplementary(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>说明</strong>: 补角：两角的和为180°。</p><p><strong>返回</strong>: 补角</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L39" 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;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> supplementary</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        补角：两角的和为180°。</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;">            补角</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PI</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;">.minimum_positive.radian, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-degree-self-float" tabindex="-1"><em><strong>def</strong></em> <code>degree(self) -&gt; float</code> <a class="header-anchor" href="#def-degree-self-float" aria-label="Permalink to &quot;***def*** \`degree(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 角度。</p><p><strong>返回</strong>: 弧度</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L48" 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;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PI</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;">.minimum_positive.radian, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-degree-self-float" tabindex="-1"><em><strong>def</strong></em> <code>degree(self) -&gt; float</code> <a class="header-anchor" href="#def-degree-self-float" aria-label="Permalink to &quot;***def*** \`degree(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 角度。</p><p><strong>返回</strong>: 弧度</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L48" 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;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> degree</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        角度。</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;">            弧度</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 180</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-minimum-positive-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>minimum_positive(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-minimum-positive-self-anyangle" aria-label="Permalink to &quot;***def*** \`minimum_positive(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>说明</strong>: 最小正角。</p><p><strong>返回</strong>: 最小正角度</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L57" 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;">property</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;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 180</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-minimum-positive-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>minimum_positive(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-minimum-positive-self-anyangle" aria-label="Permalink to &quot;***def*** \`minimum_positive(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>说明</strong>: 最小正角。</p><p><strong>返回</strong>: 最小正角度</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L57" 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;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> minimum_positive</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        最小正角。</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;">            最小正角度</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">%</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-maximum-negative-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>maximum_negative(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-maximum-negative-self-anyangle" aria-label="Permalink to &quot;***def*** \`maximum_negative(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>说明</strong>: 最大负角。</p><p><strong>返回</strong>: 最大负角度</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L66" 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;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">%</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-maximum-negative-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>maximum_negative(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-maximum-negative-self-anyangle" aria-label="Permalink to &quot;***def*** \`maximum_negative(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>说明</strong>: 最大负角。</p><p><strong>返回</strong>: 最大负角度</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L66" 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;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> maximum_negative</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        最大负角。</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;">            最大负角度</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</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;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">%</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-sin-self-float" tabindex="-1"><em><strong>def</strong></em> <code>sin(self) -&gt; float</code> <a class="header-anchor" href="#def-sin-self-float" aria-label="Permalink to &quot;***def*** \`sin(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 正弦值。</p><p><strong>返回</strong>: 正弦值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L75" 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;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</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;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">%</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-sin-self-float" tabindex="-1"><em><strong>def</strong></em> <code>sin(self) -&gt; float</code> <a class="header-anchor" href="#def-sin-self-float" aria-label="Permalink to &quot;***def*** \`sin(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 正弦值。</p><p><strong>返回</strong>: 正弦值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L75" 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;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> sin</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        正弦值。</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;">            正弦值</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.sin(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-cos-self-float" tabindex="-1"><em><strong>def</strong></em> <code>cos(self) -&gt; float</code> <a class="header-anchor" href="#def-cos-self-float" aria-label="Permalink to &quot;***def*** \`cos(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 余弦值。</p><p><strong>返回</strong>: 余弦值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L84" 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;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.sin(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-cos-self-float" tabindex="-1"><em><strong>def</strong></em> <code>cos(self) -&gt; float</code> <a class="header-anchor" href="#def-cos-self-float" aria-label="Permalink to &quot;***def*** \`cos(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 余弦值。</p><p><strong>返回</strong>: 余弦值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L84" 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;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cos</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        余弦值。</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;">            余弦值</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.cos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-tan-self-float" tabindex="-1"><em><strong>def</strong></em> <code>tan(self) -&gt; float</code> <a class="header-anchor" href="#def-tan-self-float" aria-label="Permalink to &quot;***def*** \`tan(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 正切值。</p><p><strong>返回</strong>: 正切值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L93" 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;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.cos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-tan-self-float" tabindex="-1"><em><strong>def</strong></em> <code>tan(self) -&gt; float</code> <a class="header-anchor" href="#def-tan-self-float" aria-label="Permalink to &quot;***def*** \`tan(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 正切值。</p><p><strong>返回</strong>: 正切值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L93" 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;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> tan</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        正切值。</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;">            正切值</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.tan(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-cot-self-float" tabindex="-1"><em><strong>def</strong></em> <code>cot(self) -&gt; float</code> <a class="header-anchor" href="#def-cot-self-float" aria-label="Permalink to &quot;***def*** \`cot(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 余切值。</p><p><strong>返回</strong>: 余切值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L102" 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;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.tan(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-cot-self-float" tabindex="-1"><em><strong>def</strong></em> <code>cot(self) -&gt; float</code> <a class="header-anchor" href="#def-cot-self-float" aria-label="Permalink to &quot;***def*** \`cot(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 余切值。</p><p><strong>返回</strong>: 余切值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L102" 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;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cot</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        余切值。</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;">            余切值</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.tan(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-sec-self-float" tabindex="-1"><em><strong>def</strong></em> <code>sec(self) -&gt; float</code> <a class="header-anchor" href="#def-sec-self-float" aria-label="Permalink to &quot;***def*** \`sec(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 正割值。</p><p><strong>返回</strong>: 正割值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.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:#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;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.tan(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-sec-self-float" tabindex="-1"><em><strong>def</strong></em> <code>sec(self) -&gt; float</code> <a class="header-anchor" href="#def-sec-self-float" aria-label="Permalink to &quot;***def*** \`sec(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 正割值。</p><p><strong>返回</strong>: 正割值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.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:#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;"> sec</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        正割值。</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;">            正割值</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.cos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-csc-self-float" tabindex="-1"><em><strong>def</strong></em> <code>csc(self) -&gt; float</code> <a class="header-anchor" href="#def-csc-self-float" aria-label="Permalink to &quot;***def*** \`csc(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 余割值。</p><p><strong>返回</strong>: 余割值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L120" 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;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.cos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-csc-self-float" tabindex="-1"><em><strong>def</strong></em> <code>csc(self) -&gt; float</code> <a class="header-anchor" href="#def-csc-self-float" aria-label="Permalink to &quot;***def*** \`csc(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 余割值。</p><p><strong>返回</strong>: 余割值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L120" 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;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> csc</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        余割值。</span></span>
@@ -96,4 +96,4 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="def-self-other" tabindex="-1"><em><strong>def</strong></em> <code>self / other</code> <a class="header-anchor" href="#def-self-other" aria-label="Permalink to &quot;***def*** \`self / other\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L154" 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;"> __truediv__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</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, AnyAngle):</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;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.radian</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details>`,80),l=[e];function h(p,k,r,d,g,o){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default};
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details>`,80),l=[e];function h(p,k,r,d,o,g){return i(),a("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default};

assets/api_mp_math_angle.md.3Na5IaYp.lean.js

@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/angle.md","filePath":"zh/api/mp_math/angle.md"}'),t={name:"api/mp_math/angle.md"},e=n("",80),l=[e];function h(p,k,r,d,g,o){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default};
+import{_ as s,c as a,o as i,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/angle.md","filePath":"zh/api/mp_math/angle.md"}'),t={name:"api/mp_math/angle.md"},e=n("",80),l=[e];function h(p,k,r,d,o,g){return i(),a("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default};

assets/api_mp_math_const.md.CszOmAyi.js

@@ -1 +0,0 @@
-import{_ as a,c as t,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/const.md","filePath":"zh/api/mp_math/const.md"}'),r={name:"api/mp_math/const.md"},c=o('<h1 id="mbcp-mp-math-const" tabindex="-1">mbcp.mp_math.const <a class="header-anchor" href="#mbcp-mp-math-const" aria-label="Permalink to &quot;mbcp.mp_math.const&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了一些常用的常量</p><h3 id="var-pi-math-pi" tabindex="-1">var <code>PI</code> = <code>math.pi</code> <a class="header-anchor" href="#var-pi-math-pi" aria-label="Permalink to &quot;var `PI` = `math.pi`&quot;">​</a></h3><ul><li><strong>说明</strong>: 常量 π</li></ul><h3 id="var-e-math-e" tabindex="-1">var <code>E</code> = <code>math.e</code> <a class="header-anchor" href="#var-e-math-e" aria-label="Permalink to &quot;var `E` = `math.e`&quot;">​</a></h3><ul><li><strong>说明</strong>: 自然对数的底 exp(1)</li></ul><h3 id="var-golden-ratio-1-math-sqrt-5-2" tabindex="-1">var <code>GOLDEN_RATIO</code> = <code>(1 + math.sqrt(5)) / 2</code> <a class="header-anchor" href="#var-golden-ratio-1-math-sqrt-5-2" aria-label="Permalink to &quot;var `GOLDEN_RATIO` = `(1 + math.sqrt(5)) / 2`&quot;">​</a></h3><ul><li><strong>说明</strong>: 黄金分割比</li></ul><h3 id="var-gamma-0-5772156649015329" tabindex="-1">var <code>GAMMA</code> = <code>0.5772156649015329</code> <a class="header-anchor" href="#var-gamma-0-5772156649015329" aria-label="Permalink to &quot;var `GAMMA` = `0.5772156649015329`&quot;">​</a></h3><ul><li><strong>说明</strong>: 欧拉常数</li></ul><h3 id="var-epsilon-0-0001" tabindex="-1">var <code>EPSILON</code> = <code>0.0001</code> <a class="header-anchor" href="#var-epsilon-0-0001" aria-label="Permalink to &quot;var `EPSILON` = `0.0001`&quot;">​</a></h3><ul><li><strong>说明</strong>: 精度误差</li></ul><h3 id="var-approx-0-001" tabindex="-1">var <code>APPROX</code> = <code>0.001</code> <a class="header-anchor" href="#var-approx-0-001" aria-label="Permalink to &quot;var `APPROX` = `0.001`&quot;">​</a></h3><ul><li><strong>说明</strong>: 约等于判定误差</li></ul>',14),l=[c];function i(n,s,h,d,m,p){return e(),t("div",null,l)}const v=a(r,[["render",i]]);export{u as __pageData,v as default};

assets/api_mp_math_const.md.CszOmAyi.lean.js

@@ -1 +0,0 @@
-import{_ as a,c as t,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/const.md","filePath":"zh/api/mp_math/const.md"}'),r={name:"api/mp_math/const.md"},c=o("",14),l=[c];function i(n,s,h,d,m,p){return e(),t("div",null,l)}const v=a(r,[["render",i]]);export{u as __pageData,v as default};

assets/api_mp_math_const.md.O6cTulwX.js

@@ -0,0 +1 @@
+import{_ as a,c as o,o as t,a4 as r}from"./chunks/framework.DpC1ZpOZ.js";const g=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/const.md","filePath":"zh/api/mp_math/const.md"}'),e={name:"api/mp_math/const.md"},l=r('<h1 id="mbcp-mp-math-const" tabindex="-1">mbcp.mp_math.const <a class="header-anchor" href="#mbcp-mp-math-const" aria-label="Permalink to &quot;mbcp.mp_math.const&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了一些常用的常量</p><h3 id="var-pi" tabindex="-1">var <code>PI</code> <a class="header-anchor" href="#var-pi" aria-label="Permalink to &quot;var `PI`&quot;">​</a></h3><ul><li><p><strong>说明</strong>: 常量 π</p></li><li><p><strong>默认值</strong>: <code>math.pi</code></p></li></ul><h3 id="var-e" tabindex="-1">var <code>E</code> <a class="header-anchor" href="#var-e" aria-label="Permalink to &quot;var `E`&quot;">​</a></h3><ul><li><p><strong>说明</strong>: 自然对数的底 exp(1)</p></li><li><p><strong>默认值</strong>: <code>math.e</code></p></li></ul><h3 id="var-golden-ratio" tabindex="-1">var <code>GOLDEN_RATIO</code> <a class="header-anchor" href="#var-golden-ratio" aria-label="Permalink to &quot;var `GOLDEN_RATIO`&quot;">​</a></h3><ul><li><p><strong>说明</strong>: 黄金分割比</p></li><li><p><strong>默认值</strong>: <code>(1 + math.sqrt(5)) / 2</code></p></li></ul><h3 id="var-gamma" tabindex="-1">var <code>GAMMA</code> <a class="header-anchor" href="#var-gamma" aria-label="Permalink to &quot;var `GAMMA`&quot;">​</a></h3><ul><li><p><strong>说明</strong>: 欧拉常数</p></li><li><p><strong>默认值</strong>: <code>0.5772156649015329</code></p></li></ul><h3 id="var-epsilon" tabindex="-1">var <code>EPSILON</code> <a class="header-anchor" href="#var-epsilon" aria-label="Permalink to &quot;var `EPSILON`&quot;">​</a></h3><ul><li><p><strong>说明</strong>: 精度误差</p></li><li><p><strong>默认值</strong>: <code>0.0001</code></p></li></ul><h3 id="var-approx" tabindex="-1">var <code>APPROX</code> <a class="header-anchor" href="#var-approx" aria-label="Permalink to &quot;var `APPROX`&quot;">​</a></h3><ul><li><p><strong>说明</strong>: 约等于判定误差</p></li><li><p><strong>默认值</strong>: <code>0.001</code></p></li></ul>',14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const u=a(e,[["render",i]]);export{g as __pageData,u as default};

assets/api_mp_math_const.md.O6cTulwX.lean.js

@@ -0,0 +1 @@
+import{_ as a,c as o,o as t,a4 as r}from"./chunks/framework.DpC1ZpOZ.js";const g=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/const.md","filePath":"zh/api/mp_math/const.md"}'),e={name:"api/mp_math/const.md"},l=r("",14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const u=a(e,[["render",i]]);export{g as __pageData,u as default};

assets/api_mp_math_equation.md.z85zyCZL.js

@@ -1,10 +1,10 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/equation.md","filePath":"zh/api/mp_math/equation.md"}'),t={name:"api/mp_math/equation.md"},l=n(`<h1 id="mbcp-mp-math-equation" tabindex="-1">mbcp.mp_math.equation <a class="header-anchor" href="#mbcp-mp-math-equation" aria-label="Permalink to &quot;mbcp.mp_math.equation&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了方程相关的类和函数以及一些常用的数学函数</p><h3 id="class-curveequation" tabindex="-1"><em><strong>class</strong></em> <code>CurveEquation</code> <a class="header-anchor" href="#class-curveequation" aria-label="Permalink to &quot;***class*** \`CurveEquation\`&quot;">​</a></h3><h4 id="def-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)</code> <a class="header-anchor" href="#def-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" aria-label="Permalink to &quot;***def*** \`__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)\`&quot;">​</a></h4><p><strong>说明</strong>: 曲线方程。</p><p><strong>参数</strong>:</p><blockquote><ul><li>x_func: x函数</li><li>y_func: y函数</li><li>z_func: z函数</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L12" 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, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):</span></span>
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/equation.md","filePath":"zh/api/mp_math/equation.md"}'),t={name:"api/mp_math/equation.md"},l=n(`<h1 id="mbcp-mp-math-equation" tabindex="-1">mbcp.mp_math.equation <a class="header-anchor" href="#mbcp-mp-math-equation" aria-label="Permalink to &quot;mbcp.mp_math.equation&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了方程相关的类和函数以及一些常用的数学函数</p><h3 id="class-curveequation" tabindex="-1"><em><strong>class</strong></em> <code>CurveEquation</code> <a class="header-anchor" href="#class-curveequation" aria-label="Permalink to &quot;***class*** \`CurveEquation\`&quot;">​</a></h3><h4 id="def-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)</code> <a class="header-anchor" href="#def-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" aria-label="Permalink to &quot;***def*** \`__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)\`&quot;">​</a></h4><p><strong>说明</strong>: 曲线方程。</p><p><strong>参数</strong>:</p><blockquote><ul><li>x_func (<a href="./mp_math_typing.html#var-onevarfunc"><code>OneVarFunc</code></a>): x函数</li><li>y_func (<a href="./mp_math_typing.html#var-onevarfunc"><code>OneVarFunc</code></a>): y函数</li><li>z_func (<a href="./mp_math_typing.html#var-onevarfunc"><code>OneVarFunc</code></a>): z函数</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L12" 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, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        曲线方程。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            x_func: x函数</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            x_func ([\`OneVarFunc\`](./mp_math_typing#var-onevarfunc)): x函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            y_func: y函数</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            y_func ([\`OneVarFunc\`](./mp_math_typing#var-onevarfunc)): y函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            z_func: z函数</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            z_func ([\`OneVarFunc\`](./mp_math_typing#var-onevarfunc)): z函数</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x_func</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y_func</span></span>
@@ -20,14 +20,14 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const u
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> len</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(t) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]))</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([Point3(x, y, z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, y, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> zip</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func(t))])</span></span></code></pre></div></details><h3 id="def-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" tabindex="-1"><em><strong>def</strong></em> <code>get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -&gt; MultiVarsFunc</code> <a class="header-anchor" href="#def-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" aria-label="Permalink to &quot;***def*** \`get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -&gt; MultiVarsFunc\`&quot;">​</a></h3><p><strong>说明</strong>: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。</p><div class="warning custom-block github-alert"><p class="custom-block-title">WARNING</p><p>目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升</p></div><p><strong>参数</strong>:</p><blockquote><ul><li>func: 函数</li><li>var: 变量位置，可为整数(一阶偏导)或整数元组(高阶偏导)</li><li>epsilon: 偏移量</li></ul></blockquote><p><strong>返回</strong>: 偏导函数</p><p><strong>引发</strong>:</p><blockquote><ul><li>ValueError 无效变量类型</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L42" 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_partial_derivative_func</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(func: MultiVarsFunc, var: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> |</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> tuple[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], epsilon: Number</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">EPSILON</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; MultiVarsFunc:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([Point3(x, y, z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, y, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> zip</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func(t))])</span></span></code></pre></div></details><h3 id="def-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" tabindex="-1"><em><strong>def</strong></em> <code>get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -&gt; MultiVarsFunc</code> <a class="header-anchor" href="#def-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" aria-label="Permalink to &quot;***def*** \`get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -&gt; MultiVarsFunc\`&quot;">​</a></h3><p><strong>说明</strong>: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。</p><div class="warning custom-block github-alert"><p class="custom-block-title">WARNING</p><p>目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升</p></div><p><strong>参数</strong>:</p><blockquote><ul><li>func (<a href="./mp_math_typing.html#var-multivarsfunc"><code>MultiVarsFunc</code></a>): N元函数</li><li>var: 变量位置，可为整数(一阶偏导)或整数元组(高阶偏导)</li><li>epsilon: 偏移量</li></ul></blockquote><p><strong>返回</strong>: 偏导函数</p><p><strong>引发</strong>:</p><blockquote><ul><li>ValueError 无效变量类型</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L42" 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_partial_derivative_func</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(func: MultiVarsFunc, var: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> |</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> tuple[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], epsilon: Number</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">EPSILON</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; MultiVarsFunc:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    求N元函数一阶偏导函数。这玩意不太稳定，慎用。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &gt; [!warning]</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &gt; 目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        func: 函数</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        func ([\`MultiVarsFunc\`](./mp_math_typing#var-multivarsfunc)): N元函数</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        var: 变量位置，可为整数(一阶偏导)或整数元组(高阶偏导)</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        epsilon: 偏移量</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Returns:</span></span>
@@ -62,4 +62,4 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const u
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> result_func(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> high_order_partial_derivative_func</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ValueError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Invalid var type&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details>`,23),p=[l];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(t,[["render",h]]);export{u as __pageData,F as default};
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ValueError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Invalid var type&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details>`,23),p=[l];function h(e,k,r,E,d,g){return a(),i("div",null,p)}const F=s(t,[["render",h]]);export{u as __pageData,F as default};

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assets/api_mp_math_index.md.DHhPNV6R.js

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+import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/mp_math/index.md","filePath":"zh/api/mp_math/index.md"}'),l={name:"api/mp_math/index.md"},o=c('<h1 id="mbcp-mp-math" tabindex="-1">mbcp.mp_math <a class="header-anchor" href="#mbcp-mp-math" aria-label="Permalink to &quot;mbcp.mp_math&quot;">​</a></h1><p><strong>说明</strong>: 本包定义了一些常用的导入，可直接从<code>mbcp.mp_math</code>导入使用 导入的类有：</p><ul><li><a href="./angle.html#class-anyangle"><code>AnyAngle</code></a>：任意角度</li><li><a href="./equation.html#class-curveequation"><code>CurveEquation</code></a>：曲线方程</li><li><a href="./line.html#class-line3"><code>Line3</code></a>：三维直线</li><li><a href="./plane.html#class-plane3"><code>Plane3</code></a>：三维平面</li><li><a href="./point.html#class-point3"><code>Point3</code></a>：三维点</li><li><a href="./segment.html#class-segment3"><code>Segment3</code></a>：三维线段</li><li><a href="./vector.html#class-vector3"><code>Vector3</code></a>：三维向量</li></ul>',3),i=[o];function m(n,s,d,p,r,h){return t(),a("div",null,i)}const u=e(l,[["render",m]]);export{f as __pageData,u as default};

assets/api_mp_math_index.md.DHhPNV6R.lean.js

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assets/api_mp_math_index.md.DmDp3xcy.js

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-import{_ as e,c as t,o as a,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/mp_math/index.md","filePath":"zh/api/mp_math/index.md"}'),c={name:"api/mp_math/index.md"},i=o('<h1 id="mbcp-mp-math" tabindex="-1">mbcp.mp_math <a class="header-anchor" href="#mbcp-mp-math" aria-label="Permalink to &quot;mbcp.mp_math&quot;">​</a></h1><p><strong>说明</strong>: 本包定义了一些常用的导入，可直接从<code>mbcp.mp_math</code>导入使用 导入的类有：</p><ul><li><code>AnyAngle</code>：任意角</li><li><code>CurveEquation</code>：曲线方程</li><li><code>Line3</code>：三维直线</li><li><code>Plane3</code>：三维平面</li><li><code>Point3</code>：三维点</li><li><code>Segment3</code>：三维线段</li><li><code>Vector3</code>：三维向量</li></ul>',3),d=[i];function m(l,p,_,n,r,s){return a(),t("div",null,d)}const f=e(c,[["render",m]]);export{u as __pageData,f as default};

assets/api_mp_math_index.md.DmDp3xcy.lean.js

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assets/api_mp_math_line.md.Dovi6bdM.js

@@ -1,40 +1,37 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/line.md","filePath":"zh/api/mp_math/line.md"}'),t={name:"api/mp_math/line.md"},l=n(`<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 &quot;mbcp.mp_math.line&quot;">​</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 &quot;***class*** \`Line3\`&quot;">​</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 &quot;***def*** \`__init__(self, point: Point3, direction: Vector3)\`&quot;">​</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;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, direction: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/line.md","filePath":"zh/api/mp_math/line.md"}'),t={name:"api/mp_math/line.md"},l=n(`<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 &quot;mbcp.mp_math.line&quot;">​</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 &quot;***class*** \`Line3\`&quot;">​</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 &quot;***def*** \`__init__(self, point: Point3, direction: Vector3)\`&quot;">​</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 (<a href="./point.html#class-point3"><code>Point3</code></a>): 直线上的一点</li><li>direction (<a href="./vector.html#class-vector3"><code>Vector3</code></a>): 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;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, direction: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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;">            point ([\`Point3\`](./point#class-point3)): 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;">            direction ([\`Vector3\`](./vector#class-vector3)): 方向向量</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#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) -&gt; bool</code> <a class="header-anchor" href="#def-approx-self-other-line3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***def*** \`approx(self, other: Line3, epsilon: float = APPROX) -&gt; bool\`&quot;">​</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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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) -&gt; bool</code> <a class="header-anchor" href="#def-approx-self-other-line3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***def*** \`approx(self, other: Line3, epsilon: float = APPROX) -&gt; bool\`&quot;">​</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 (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一条直线</li><li>epsilon (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 误差</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似相等</p><details><summary><b>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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两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;">            other ([\`Line3\`](./line#class-line3)): 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;">            epsilon ([\`float\`](https://docs.python.org/3/library/functions.html#float)): 误差</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            是否近似相等</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`bool\`](https://docs.python.org/3/library/functions.html#bool): 是否近似相等</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 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) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-cal-angle-self-other-line3-anyangle" aria-label="Permalink to &quot;***def*** \`cal_angle(self, other: Line3) -&gt; AnyAngle\`&quot;">​</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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-cal-angle-self-other-line3-anyangle" aria-label="Permalink to &quot;***def*** \`cal_angle(self, other: Line3) -&gt; AnyAngle\`&quot;">​</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 (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一条直线</li></ul></blockquote><p><strong>返回</strong>: <a href="./angle.html#class-anyangle"><code>AnyAngle</code></a>: 夹角</p><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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        计算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;">            other ([\`Line3\`](./line#class-line3)): 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;">            [\`AnyAngle\`](./angle#class-anyangle): 夹角</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;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.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) -&gt; float</code> <a class="header-anchor" href="#def-cal-distance-self-other-line3-point3-float" aria-label="Permalink to &quot;***def*** \`cal_distance(self, other: Line3 | Point3) -&gt; float\`&quot;">​</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;">&#39;Line3 | Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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) -&gt; float</code> <a class="header-anchor" href="#def-cal-distance-self-other-line3-point3-float" aria-label="Permalink to &quot;***def*** \`cal_distance(self, other: Line3 | Point3) -&gt; float\`&quot;">​</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 (<a href="./line.html#class-line3"><code>Line3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>): 另一条直线或点</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>: 距离</p><p><strong>引发</strong>:</p><blockquote><ul><li><a href="https://docs.python.org/3/library/exceptions.html#TypeError" target="_blank" rel="noreferrer"><code>TypeError</code></a> 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#L50" 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;">&#39;Line3 | Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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 style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Line3\`](./line#class-line3) | [\`Point3\`](./point#class-point3)): 另一条直线或点</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;">            [\`float\`](https%3A//docs.python.org/3/library/functions.html#float): 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;">            [\`TypeError\`](https%3A//docs.python.org/3/library/exceptions.html#TypeError): 不支持的类型</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(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>
@@ -48,86 +45,86 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const E
 <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;">&#39;Unsupported type.&#39;</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) -&gt; Point3</code> <a class="header-anchor" href="#def-cal-intersection-self-other-line3-point3" aria-label="Permalink to &quot;***def*** \`cal_intersection(self, other: Line3) -&gt; Point3\`&quot;">​</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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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;">&#39;Unsupported type.&#39;</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) -&gt; Point3</code> <a class="header-anchor" href="#def-cal-intersection-self-other-line3-point3" aria-label="Permalink to &quot;***def*** \`cal_intersection(self, other: Line3) -&gt; Point3\`&quot;">​</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 (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一条直线</li></ul></blockquote><p><strong>返回</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 交点</p><p><strong>引发</strong>:</p><blockquote><ul><li><a href="https://docs.python.org/3/library/exceptions.html#TypeError" target="_blank" rel="noreferrer"><code>ValueError</code></a> 直线平行</li><li><code>ValueError</code> 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#L80" 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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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;">            other ([\`Line3\`](./line#class-line3)): 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;">            [\`Point3\`](./point#class-point3): 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\`](https%3A//docs.python.org/3/library/exceptions.html#TypeError): 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;">            \`ValueError\`: 直线不共面</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 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;">&#39;Lines are parallel and do not intersect.&#39;</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;">&#39;Lines are not coplanar and do not intersect.&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.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) -&gt; Line3</code> <a class="header-anchor" href="#def-cal-perpendicular-self-point-point3-line3" aria-label="Permalink to &quot;***def*** \`cal_perpendicular(self, point: Point3) -&gt; Line3\`&quot;">​</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;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.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) -&gt; Line3</code> <a class="header-anchor" href="#def-cal-perpendicular-self-point-point3-line3" aria-label="Permalink to &quot;***def*** \`cal_perpendicular(self, point: Point3) -&gt; Line3\`&quot;">​</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 (<a href="./point.html#class-point3"><code>Point3</code></a>): 指定点</li></ul></blockquote><p><strong>返回</strong>: <a href="./line.html#class-line3"><code>Line3</code></a>: 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#L98" 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;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        计算直线经过指定点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;">            point ([\`Point3\`](./point#class-point3)): 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;">            [\`Line3\`](./line#class-line3): 垂线</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> 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) -&gt; Point3</code> <a class="header-anchor" href="#def-get-point-self-t-realnumber-point3" aria-label="Permalink to &quot;***def*** \`get_point(self, t: RealNumber) -&gt; Point3\`&quot;">​</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) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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) -&gt; Point3</code> <a class="header-anchor" href="#def-get-point-self-t-realnumber-point3" aria-label="Permalink to &quot;***def*** \`get_point(self, t: RealNumber) -&gt; Point3\`&quot;">​</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 (<a href="./mp_math_typing.html#var-realnumber"><code>RealNumber</code></a>): 参数t</li></ul></blockquote><p><strong>返回</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 点</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L108" 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) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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;">            t ([\`RealNumber\`](./mp_math_typing#var-realnumber)): 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;">            [\`Point3\`](./point#class-point3): 点</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#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) -&gt; tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]</code> <a class="header-anchor" href="#def-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" aria-label="Permalink to &quot;***def*** \`get_parametric_equations(self) -&gt; tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]\`&quot;">​</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) -&gt; tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:</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) -&gt; tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]</code> <a class="header-anchor" href="#def-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" aria-label="Permalink to &quot;***def*** \`get_parametric_equations(self) -&gt; tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]\`&quot;">​</a></h4><p><strong>说明</strong>: 获取直线的参数方程。</p><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/stdtypes.html#tuple" target="_blank" rel="noreferrer"><code>tuple</code></a>[<a href="./mp_math_typing.html#var-onesinglevarfunc"><code>OneSingleVarFunc</code></a>, <code>OneSingleVarFunc</code>, <code>OneSingleVarFunc</code>]: 参数方程</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L118" 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) -&gt; tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        获取直线的参数方程。</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;">            [\`tuple\`](https%3A//docs.python.org/3/library/stdtypes.html#tuple)[[\`OneSingleVarFunc\`](./mp_math_typing#var-onesinglevarfunc), \`OneSingleVarFunc\`, \`OneSingleVarFunc\`]: 参数方程</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</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) -&gt; bool</code> <a class="header-anchor" href="#def-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" aria-label="Permalink to &quot;***def*** \`is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -&gt; bool\`&quot;">​</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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1e-06</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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) -&gt; bool</code> <a class="header-anchor" href="#def-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" aria-label="Permalink to &quot;***def*** \`is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -&gt; bool\`&quot;">​</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 (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一条直线</li><li>epsilon (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 误差</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似平行</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L128" 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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1e-06</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两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;">            other ([\`Line3\`](./line#class-line3)): 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;">            epsilon ([\`float\`](https%3A//docs.python.org/3/library/functions.html#float)): 误差</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            是否近似平行</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否近似平行</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.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) -&gt; bool</code> <a class="header-anchor" href="#def-is-parallel-self-other-line3-bool" aria-label="Permalink to &quot;***def*** \`is_parallel(self, other: Line3) -&gt; bool\`&quot;">​</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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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) -&gt; bool</code> <a class="header-anchor" href="#def-is-parallel-self-other-line3-bool" aria-label="Permalink to &quot;***def*** \`is_parallel(self, other: Line3) -&gt; bool\`&quot;">​</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 (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否平行</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L139" 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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两条直线是否平行。</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;">            other ([\`Line3\`](./line#class-line3)): 另一</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;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否平行</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.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) -&gt; bool</code> <a class="header-anchor" href="#def-is-collinear-self-other-line3-bool" aria-label="Permalink to &quot;***def*** \`is_collinear(self, other: Line3) -&gt; bool\`&quot;">​</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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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) -&gt; bool</code> <a class="header-anchor" href="#def-is-collinear-self-other-line3-bool" aria-label="Permalink to &quot;***def*** \`is_collinear(self, other: Line3) -&gt; bool\`&quot;">​</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 (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 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#L149" 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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两条直线是否共线。</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;">            other ([\`Line3\`](./line#class-line3)): 另一</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;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否共线</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.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) -&gt; bool</code> <a class="header-anchor" href="#def-is-point-on-self-point-point3-bool" aria-label="Permalink to &quot;***def*** \`is_point_on(self, point: Point3) -&gt; bool\`&quot;">​</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;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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) -&gt; bool</code> <a class="header-anchor" href="#def-is-point-on-self-point-point3-bool" aria-label="Permalink to &quot;***def*** \`is_point_on(self, point: Point3) -&gt; bool\`&quot;">​</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 (<a href="./point.html#class-point3"><code>Point3</code></a>): 点</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 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#L159" 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;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断点是否在直线上。</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;">            point ([\`Point3\`](./point#class-point3)): 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;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否在直线上</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (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) -&gt; bool</code> <a class="header-anchor" href="#def-is-coplanar-self-other-line3-bool" aria-label="Permalink to &quot;***def*** \`is_coplanar(self, other: Line3) -&gt; bool\`&quot;">​</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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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) -&gt; bool</code> <a class="header-anchor" href="#def-is-coplanar-self-other-line3-bool" aria-label="Permalink to &quot;***def*** \`is_coplanar(self, other: Line3) -&gt; bool\`&quot;">​</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 (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 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#L169" 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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两条直线是否共面。</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;">            other ([\`Line3\`](./line#class-line3)): 另一</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;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否共面</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.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 &quot;***def*** \`simplify(self)\`&quot;">​</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:#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 &quot;***def*** \`simplify(self)\`&quot;">​</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#L180" 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;">    &quot;&quot;&quot;</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>
@@ -140,39 +137,38 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const E
 <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) -&gt; Line3</code> <a class="header-anchor" href="#def-from-two-points-cls-p1-point3-p2-point3-line3" aria-label="Permalink to &quot;***def*** \`from_two_points(cls, p1: Point3, p2: Point3) -&gt; Line3\`&quot;">​</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:#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><a href="https://docs.python.org/3/library/functions.html#classmethod" target="_blank" rel="noreferrer"><code>@classmethod</code></a></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) -&gt; Line3</code> <a class="header-anchor" href="#def-from-two-points-cls-p1-point3-p2-point3-line3" aria-label="Permalink to &quot;***def*** \`from_two_points(cls, p1: Point3, p2: Point3) -&gt; Line3\`&quot;">​</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 (<a href="./point.html#class-point3"><code>Point3</code></a>): 点1</li><li>p2 (<a href="./point.html#class-point3"><code>Point3</code></a>): 点2</li></ul></blockquote><p><strong>返回</strong>: <a href="./line.html#class-line3"><code>Line3</code></a>: 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#L199" 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;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, p2: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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;">            p1 ([\`Point3\`](./point#class-point3)): 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;">            p2 ([\`Point3\`](./point#class-point3)): 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;">            [\`Line3\`](./line#class-line3): 直线</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    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) -&gt; Line3 | Point3 | None</code> <a class="header-anchor" href="#def-and-self-other-line3-line3-point3-none" aria-label="Permalink to &quot;***def*** \`__and__(self, other: Line3) -&gt; Line3 | Point3 | None\`&quot;">​</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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3 | Point3 | None&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 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) -&gt; Line3 | Point3 | None</code> <a class="header-anchor" href="#def-and-self-other-line3-line3-point3-none" aria-label="Permalink to &quot;***def*** \`__and__(self, other: Line3) -&gt; Line3 | Point3 | None\`&quot;">​</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 (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一条直线</li></ul></blockquote><p><strong>返回</strong>: <a href="./line.html#class-line3"><code>Line3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a> | <a href="https://docs.python.org/3/library/constants.html#None" target="_blank" rel="noreferrer"><code>None</code></a>: 交集</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L211" 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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3 | Point3 | None&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        计算两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;">            other ([\`Line3\`](./line#class-line3)): 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;">            [\`Line3\`](./line#class-line3) | [\`Point3\`](./point#class-point3) | [\`None\`](https://docs.python.org/3/library/constants.html#None): 交集</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 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) -&gt; bool</code> <a class="header-anchor" href="#def-eq-self-other-bool" aria-label="Permalink to &quot;***def*** \`__eq__(self, other) -&gt; bool\`&quot;">​</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) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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) -&gt; bool</code> <a class="header-anchor" href="#def-eq-self-other-bool" aria-label="Permalink to &quot;***def*** \`__eq__(self, other) -&gt; bool\`&quot;">​</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 (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一条直线</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否等价</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L226" 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) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两条直线是否等价。</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 style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Line3\`](./line#class-line3)): 另一条直线</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;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否等价</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.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>`,107),p=[l];function e(h,k,r,o,d,g){return a(),i("div",null,p)}const y=s(t,[["render",e]]);export{E as __pageData,y as default};
+<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>`,106),e=[l];function p(h,k,r,o,d,g){return a(),i("div",null,e)}const E=s(t,[["render",p]]);export{F as __pageData,E as default};

assets/api_mp_math_line.md.Dovi6bdM.lean.js

@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/line.md","filePath":"zh/api/mp_math/line.md"}'),t={name:"api/mp_math/line.md"},l=n("",107),p=[l];function e(h,k,r,o,d,g){return a(),i("div",null,p)}const y=s(t,[["render",e]]);export{E as __pageData,y as default};
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/line.md","filePath":"zh/api/mp_math/line.md"}'),t={name:"api/mp_math/line.md"},l=n("",106),e=[l];function p(h,k,r,o,d,g){return a(),i("div",null,e)}const E=s(t,[["render",p]]);export{F as __pageData,E as default};

assets/api_mp_math_mp_math.md.DHVVb-Rv.js

@@ -1 +0,0 @@
-import{_ as e,c as t,o as a,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/mp_math/mp_math.md","filePath":"zh/api/mp_math/mp_math.md"}'),c={name:"api/mp_math/mp_math.md"},m=o('<h1 id="mbcp-mp-math" tabindex="-1">mbcp.mp_math <a class="header-anchor" href="#mbcp-mp-math" aria-label="Permalink to &quot;mbcp.mp_math&quot;">​</a></h1><p><strong>说明</strong>: 本包定义了一些常用的导入，可直接从<code>mbcp.mp_math</code>导入使用 导入的类有：</p><ul><li><code>AnyAngle</code>：任意角</li><li><code>CurveEquation</code>：曲线方程</li><li><code>Line3</code>：三维直线</li><li><code>Plane3</code>：三维平面</li><li><code>Point3</code>：三维点</li><li><code>Segment3</code>：三维线段</li><li><code>Vector3</code>：三维向量</li></ul>',3),p=[m];function _(i,l,d,n,r,s){return a(),t("div",null,p)}const f=e(c,[["render",_]]);export{u as __pageData,f as default};

assets/api_mp_math_mp_math.md.DHVVb-Rv.lean.js

@@ -1 +0,0 @@
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assets/api_mp_math_mp_math.md.mVabZTHd.js

@@ -0,0 +1 @@
+import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/mp_math/mp_math.md","filePath":"zh/api/mp_math/mp_math.md"}'),l={name:"api/mp_math/mp_math.md"},m=c('<h1 id="mbcp-mp-math" tabindex="-1">mbcp.mp_math <a class="header-anchor" href="#mbcp-mp-math" aria-label="Permalink to &quot;mbcp.mp_math&quot;">​</a></h1><p><strong>说明</strong>: 本包定义了一些常用的导入，可直接从<code>mbcp.mp_math</code>导入使用 导入的类有：</p><ul><li><a href="./angle.html#class-anyangle"><code>AnyAngle</code></a>：任意角度</li><li><a href="./equation.html#class-curveequation"><code>CurveEquation</code></a>：曲线方程</li><li><a href="./line.html#class-line3"><code>Line3</code></a>：三维直线</li><li><a href="./plane.html#class-plane3"><code>Plane3</code></a>：三维平面</li><li><a href="./point.html#class-point3"><code>Point3</code></a>：三维点</li><li><a href="./segment.html#class-segment3"><code>Segment3</code></a>：三维线段</li><li><a href="./vector.html#class-vector3"><code>Vector3</code></a>：三维向量</li></ul>',3),o=[m];function i(s,n,p,h,r,_){return t(),a("div",null,o)}const u=e(l,[["render",i]]);export{f as __pageData,u as default};

assets/api_mp_math_mp_math.md.mVabZTHd.lean.js

@@ -0,0 +1 @@
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assets/api_mp_math_mp_math_typing.md.2NipbSOG.lean.js

@@ -1 +0,0 @@
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assets/api_mp_math_mp_math_typing.md.CEryCREV.lean.js

@@ -0,0 +1 @@
+import{_ as a,c as r,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const v=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/mp_math_typing.md","filePath":"zh/api/mp_math/mp_math_typing.md"}'),l={name:"api/mp_math/mp_math_typing.md"},n=o("",36),t=[n];function i(s,c,d,p,u,g){return e(),r("div",null,t)}const m=a(l,[["render",i]]);export{v as __pageData,m as default};

assets/api_mp_math_plane.md.Dv-GWbJg.js

@@ -1,22 +1,22 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/plane.md","filePath":"zh/api/mp_math/plane.md"}'),l={name:"api/mp_math/plane.md"},t=n(`<h1 id="mbcp-mp-math-plane" tabindex="-1">mbcp.mp_math.plane <a class="header-anchor" href="#mbcp-mp-math-plane" aria-label="Permalink to &quot;mbcp.mp_math.plane&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了三维空间中的平面类</p><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 &quot;***class*** \`Plane3\`&quot;">​</a></h3><h4 id="def-init-self-a-float-b-float-c-float-d-float" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, a: float, b: float, c: float, d: float)</code> <a class="header-anchor" href="#def-init-self-a-float-b-float-c-float-d-float" aria-label="Permalink to &quot;***def*** \`__init__(self, a: float, b: float, c: float, d: float)\`&quot;">​</a></h4><p><strong>说明</strong>: 平面方程：ax + by + cz + d = 0</p><p><strong>参数</strong>:</p><blockquote><ul><li>a: x系数</li><li>b: y系数</li><li>c: z系数</li><li>d: 常数项</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L20" 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, 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>
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/plane.md","filePath":"zh/api/mp_math/plane.md"}'),l={name:"api/mp_math/plane.md"},t=n(`<h1 id="mbcp-mp-math-plane" tabindex="-1">mbcp.mp_math.plane <a class="header-anchor" href="#mbcp-mp-math-plane" aria-label="Permalink to &quot;mbcp.mp_math.plane&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了三维空间中的平面类</p><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 &quot;***class*** \`Plane3\`&quot;">​</a></h3><h4 id="def-init-self-a-float-b-float-c-float-d-float" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, a: float, b: float, c: float, d: float)</code> <a class="header-anchor" href="#def-init-self-a-float-b-float-c-float-d-float" aria-label="Permalink to &quot;***def*** \`__init__(self, a: float, b: float, c: float, d: float)\`&quot;">​</a></h4><p><strong>说明</strong>: 平面方程：ax + by + cz + d = 0</p><p><strong>参数</strong>:</p><blockquote><ul><li>a (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): x系数</li><li>b (<code>float</code>): y系数</li><li>c (<code>float</code>): z系数</li><li>d (<code>float</code>): 常数项</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L20" 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, 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;">    &quot;&quot;&quot;</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: x系数</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            a ([\`float\`](https%3A//docs.python.org/3/library/functions.html#float)): x系数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            b: y系数</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            b (\`float\`): y系数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            c: z系数</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            c (\`float\`): z系数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            d: 常数项</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            d (\`float\`): 常数项</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.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><h4 id="def-approx-self-other-plane3-bool" tabindex="-1"><em><strong>def</strong></em> <code>approx(self, other: Plane3) -&gt; bool</code> <a class="header-anchor" href="#def-approx-self-other-plane3-bool" aria-label="Permalink to &quot;***def*** \`approx(self, other: Plane3) -&gt; bool\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个平面是否近似相等。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一个平面</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/plane.py#L34" 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;">&#39;Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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><h4 id="def-approx-self-other-plane3-bool" tabindex="-1"><em><strong>def</strong></em> <code>approx(self, other: Plane3) -&gt; bool</code> <a class="header-anchor" href="#def-approx-self-other-plane3-bool" aria-label="Permalink to &quot;***def*** \`approx(self, other: Plane3) -&gt; bool\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个平面是否近似相等。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./plane.html#class-plane3"><code>Plane3</code></a>): 另一个平面</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似相等</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L34" 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;">&#39;Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两个平面是否近似相等。</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: 另一个平面</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Plane3\`](./plane#class-plane3)): 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;">            是否近似相等</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`bool\`](https://docs.python.org/3/library/functions.html#bool): 是否近似相等</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    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>
@@ -28,44 +28,45 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y
 <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><h4 id="def-cal-angle-self-other-line3-plane3-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>cal_angle(self, other: Line3 | Plane3) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-cal-angle-self-other-line3-plane3-anyangle" aria-label="Permalink to &quot;***def*** \`cal_angle(self, other: Line3 | Plane3) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>说明</strong>: 计算平面与平面之间的夹角。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一个平面</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/plane.py#L54" 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;">&#39;Line3 | Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> False</span></span></code></pre></div></details><h4 id="def-cal-angle-self-other-line3-plane3-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>cal_angle(self, other: Line3 | Plane3) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-cal-angle-self-other-line3-plane3-anyangle" aria-label="Permalink to &quot;***def*** \`cal_angle(self, other: Line3 | Plane3) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>说明</strong>: 计算平面与平面之间的夹角。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./line.html#class-line3"><code>Line3</code></a> | <a href="./plane.html#class-plane3"><code>Plane3</code></a>): 另一个平面或直线</li></ul></blockquote><p><strong>返回</strong>: <a href="./angle.html#class-anyangle"><code>AnyAngle</code></a>: 夹角</p><p><strong>引发</strong>:</p><blockquote><ul><li><a href="https://docs.python.org/3/library/exceptions.html#TypeError" target="_blank" rel="noreferrer"><code>TypeError</code></a> 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/plane.py#L54" 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;">&#39;Line3 | Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        计算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;">            other ([\`Line3\`](./line#class-line3) | [\`Plane3\`](./plane#class-plane3)): 另一个平面或直线</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;">            [\`AnyAngle\`](./angle#class-anyangle): 夹角</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;">            [\`TypeError\`](https%3A//docs.python.org/3/library/exceptions.html#TypeError): 不支持的类型</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(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;">&#39;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;">&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-cal-distance-self-other-plane3-point3-float" tabindex="-1"><em><strong>def</strong></em> <code>cal_distance(self, other: Plane3 | Point3) -&gt; float</code> <a class="header-anchor" href="#def-cal-distance-self-other-plane3-point3-float" aria-label="Permalink to &quot;***def*** \`cal_distance(self, other: Plane3 | Point3) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 计算平面与平面或点之间的距离。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一个平面或点</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/plane.py#L71" 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;">&#39;Plane3 | Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Unsupported 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;">&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-cal-distance-self-other-plane3-point3-float" tabindex="-1"><em><strong>def</strong></em> <code>cal_distance(self, other: Plane3 | Point3) -&gt; float</code> <a class="header-anchor" href="#def-cal-distance-self-other-plane3-point3-float" aria-label="Permalink to &quot;***def*** \`cal_distance(self, other: Plane3 | Point3) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 计算平面与平面或点之间的距离。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./plane.html#class-plane3"><code>Plane3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>): 另一个平面或点</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>: 距离</p><p><strong>引发</strong>:</p><blockquote><ul><li><a href="https://docs.python.org/3/library/exceptions.html#TypeError" target="_blank" rel="noreferrer"><code>TypeError</code></a> 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/plane.py#L71" 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;">&#39;Plane3 | Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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;">            other ([\`Plane3\`](./plane#class-plane3) | [\`Point3\`](./point#class-point3)): 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;">            [\`float\`](https%3A//docs.python.org/3/library/functions.html#float): 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;">            [\`TypeError\`](https%3A//docs.python.org/3/library/exceptions.html#TypeError): 不支持的类型</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(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;">&#39;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;">&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-cal-intersection-line3-self-other-plane3-line3" tabindex="-1"><em><strong>def</strong></em> <code>cal_intersection_line3(self, other: Plane3) -&gt; Line3</code> <a class="header-anchor" href="#def-cal-intersection-line3-self-other-plane3-line3" aria-label="Permalink to &quot;***def*** \`cal_intersection_line3(self, other: Plane3) -&gt; Line3\`&quot;">​</a></h4><p><strong>说明</strong>: 计算两平面的交线。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一个平面</li></ul></blockquote><p><strong>返回</strong>: 两平面的交线</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L88" 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_line3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Unsupported 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;">&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-cal-intersection-line3-self-other-plane3-line3" tabindex="-1"><em><strong>def</strong></em> <code>cal_intersection_line3(self, other: Plane3) -&gt; Line3</code> <a class="header-anchor" href="#def-cal-intersection-line3-self-other-plane3-line3" aria-label="Permalink to &quot;***def*** \`cal_intersection_line3(self, other: Plane3) -&gt; Line3\`&quot;">​</a></h4><p><strong>说明</strong>: 计算两平面的交线。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./plane.html#class-plane3"><code>Plane3</code></a>): 另一个平面</li></ul></blockquote><p><strong>返回</strong>: <a href="./line.html#class-line3"><code>Line3</code></a>: 交线</p><p><strong>引发</strong>:</p><blockquote><ul><li><a href="https://docs.python.org/3/library/exceptions.html#ValueError" target="_blank" rel="noreferrer"><code>ValueError</code></a> 平面平行且无交线</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L88" 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_line3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        计算两平面的交线。</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: 另一个平面</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Plane3\`](./plane#class-plane3)): 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;">            两平面的交线</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`Line3\`](./line#class-line3): 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;">            [\`ValueError\`](https%3A//docs.python.org/3/library/exceptions.html#ValueError): 平面平行且无交线</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 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;">&#39;Planes are parallel and have no intersection.&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
@@ -83,76 +84,76 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y
 <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><h4 id="def-cal-intersection-point3-self-other-line3-point3" tabindex="-1"><em><strong>def</strong></em> <code>cal_intersection_point3(self, other: Line3) -&gt; Point3</code> <a class="header-anchor" href="#def-cal-intersection-point3-self-other-line3-point3" aria-label="Permalink to &quot;***def*** \`cal_intersection_point3(self, other: Line3) -&gt; Point3\`&quot;">​</a></h4><p><strong>说明</strong>: 计算平面与直线的交点。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 不与平面平行或在平面上的直线</li></ul></blockquote><p><strong>返回</strong>: 交点</p><p><strong>引发</strong>:</p><blockquote><ul><li>ValueError 平面与直线平行或重合</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L120" 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_point3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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><h4 id="def-cal-intersection-point3-self-other-line3-point3" tabindex="-1"><em><strong>def</strong></em> <code>cal_intersection_point3(self, other: Line3) -&gt; Point3</code> <a class="header-anchor" href="#def-cal-intersection-point3-self-other-line3-point3" aria-label="Permalink to &quot;***def*** \`cal_intersection_point3(self, other: Line3) -&gt; Point3\`&quot;">​</a></h4><p><strong>说明</strong>: 计算平面与直线的交点。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./line.html#class-line3"><code>Line3</code></a>): 直线</li></ul></blockquote><p><strong>返回</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 交点</p><p><strong>引发</strong>:</p><blockquote><ul><li><a href="https://docs.python.org/3/library/exceptions.html#ValueError" target="_blank" rel="noreferrer"><code>ValueError</code></a> 平面与直线平行或重合</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.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;"> cal_intersection_point3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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;">            other ([\`Line3\`](./line#class-line3)): 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;">            [\`Point3\`](./point#class-point3): 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;">            [\`ValueError\`](https%3A//docs.python.org/3/library/exceptions.html#ValueError): 平面与直线平行或重合</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 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;">&#39;The plane and the line are parallel or coincident.&#39;</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><h4 id="def-cal-parallel-plane3-self-point-point3-plane3" tabindex="-1"><em><strong>def</strong></em> <code>cal_parallel_plane3(self, point: Point3) -&gt; Plane3</code> <a class="header-anchor" href="#def-cal-parallel-plane3-self-point-point3-plane3" aria-label="Permalink to &quot;***def*** \`cal_parallel_plane3(self, point: Point3) -&gt; Plane3\`&quot;">​</a></h4><p><strong>说明</strong>: 计算平行于该平面且过指定点的平面。</p><p><strong>参数</strong>:</p><blockquote><ul><li>point: 指定点</li></ul></blockquote><p><strong>返回</strong>: 所求平面</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L140" 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_parallel_plane3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(x(t), y(t), z(t))</span></span></code></pre></div></details><h4 id="def-cal-parallel-plane3-self-point-point3-plane3" tabindex="-1"><em><strong>def</strong></em> <code>cal_parallel_plane3(self, point: Point3) -&gt; Plane3</code> <a class="header-anchor" href="#def-cal-parallel-plane3-self-point-point3-plane3" aria-label="Permalink to &quot;***def*** \`cal_parallel_plane3(self, point: Point3) -&gt; Plane3\`&quot;">​</a></h4><p><strong>说明</strong>: 计算平行于该平面且过指定点的平面。</p><p><strong>参数</strong>:</p><blockquote><ul><li>point (<a href="./point.html#class-point3"><code>Point3</code></a>): 指定点</li></ul></blockquote><p><strong>返回</strong>: <a href="./plane.html#class-plane3"><code>Plane3</code></a>: 平面</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L141" 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_parallel_plane3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        计算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;">            point ([\`Point3\`](./point#class-point3)): 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;">            所求平面</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`Plane3\`](./plane#class-plane3): 平面</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> 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><h4 id="def-is-parallel-self-other-plane3-bool" tabindex="-1"><em><strong>def</strong></em> <code>is_parallel(self, other: Plane3) -&gt; bool</code> <a class="header-anchor" href="#def-is-parallel-self-other-plane3-bool" aria-label="Permalink to &quot;***def*** \`is_parallel(self, other: Plane3) -&gt; bool\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个平面是否平行。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一个平面</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/plane.py#L150" 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;">&#39;Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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><h4 id="def-is-parallel-self-other-plane3-bool" tabindex="-1"><em><strong>def</strong></em> <code>is_parallel(self, other: Plane3) -&gt; bool</code> <a class="header-anchor" href="#def-is-parallel-self-other-plane3-bool" aria-label="Permalink to &quot;***def*** \`is_parallel(self, other: Plane3) -&gt; bool\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个平面是否平行。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./plane.html#class-plane3"><code>Plane3</code></a>): 另一个平面</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否平行</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L151" 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;">&#39;Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两个平面是否平行。</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;">            other ([\`Plane3\`](./plane#class-plane3)): 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;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否平行</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal.is_parallel(other.normal)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-normal-self-vector3" tabindex="-1"><em><strong>def</strong></em> <code>normal(self) -&gt; Vector3</code> <a class="header-anchor" href="#def-normal-self-vector3" aria-label="Permalink to &quot;***def*** \`normal(self) -&gt; Vector3\`&quot;">​</a></h4><p><strong>说明</strong>: 平面的法向量。</p><p><strong>返回</strong>: 法向量</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L161" 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;">property</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><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-normal-self-vector3" tabindex="-1"><em><strong>def</strong></em> <code>normal(self) -&gt; Vector3</code> <a class="header-anchor" href="#def-normal-self-vector3" aria-label="Permalink to &quot;***def*** \`normal(self) -&gt; Vector3\`&quot;">​</a></h4><p><strong>说明</strong>: 平面的法向量。</p><p><strong>返回</strong>: <a href="./vector.html#class-vector3"><code>Vector3</code></a>: 法向量</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.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:#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) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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;">            [\`Vector3\`](./vector#class-vector3): 法向量</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#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><p><code>@classmethod</code></p><h4 id="def-from-point-and-normal-cls-point-point3-normal-vector3-plane3" tabindex="-1"><em><strong>def</strong></em> <code>from_point_and_normal(cls, point: Point3, normal: Vector3) -&gt; Plane3</code> <a class="header-anchor" href="#def-from-point-and-normal-cls-point-point3-normal-vector3-plane3" aria-label="Permalink to &quot;***def*** \`from_point_and_normal(cls, point: Point3, normal: Vector3) -&gt; Plane3\`&quot;">​</a></h4><p><strong>说明</strong>: 工厂函数 由点和法向量构造平面(点法式构造)。</p><p><strong>参数</strong>:</p><blockquote><ul><li>point: 平面上的一点</li><li>normal: 法向量</li></ul></blockquote><p><strong>返回</strong>: 平面</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L170" 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;">    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><p><a href="https://docs.python.org/3/library/functions.html#classmethod" target="_blank" rel="noreferrer"><code>@classmethod</code></a></p><h4 id="def-from-point-and-normal-cls-point-point3-normal-vector3-plane3" tabindex="-1"><em><strong>def</strong></em> <code>from_point_and_normal(cls, point: Point3, normal: Vector3) -&gt; Plane3</code> <a class="header-anchor" href="#def-from-point-and-normal-cls-point-point3-normal-vector3-plane3" aria-label="Permalink to &quot;***def*** \`from_point_and_normal(cls, point: Point3, normal: Vector3) -&gt; Plane3\`&quot;">​</a></h4><p><strong>说明</strong>: 工厂函数 由点和法向量构造平面(点法式构造)。</p><p><strong>参数</strong>:</p><blockquote><ul><li>point (<a href="./point.html#class-point3"><code>Point3</code></a>): 平面上一点</li><li>normal (<a href="./vector.html#class-vector3"><code>Vector3</code></a>): 法向量</li></ul></blockquote><p><strong>返回</strong>: <a href="./plane.html#class-plane3"><code>Plane3</code></a>: 平面</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L171" 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_point_and_normal</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cls, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, normal: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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;">            point ([\`Point3\`](./point#class-point3)): 平面上一点</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;">            normal ([\`Vector3\`](./vector#class-vector3)): 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;">            [\`Plane3\`](./plane#class-plane3): 平面</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    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><p><code>@classmethod</code></p><h4 id="def-from-three-points-cls-p1-point3-p2-point3-p3-point3-plane3" tabindex="-1"><em><strong>def</strong></em> <code>from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -&gt; Plane3</code> <a class="header-anchor" href="#def-from-three-points-cls-p1-point3-p2-point3-p3-point3-plane3" aria-label="Permalink to &quot;***def*** \`from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -&gt; Plane3\`&quot;">​</a></h4><p><strong>说明</strong>: 工厂函数 由三点构造平面。</p><p><strong>参数</strong>:</p><blockquote><ul><li>p1: 点1</li><li>p2: 点2</li><li>p3: 点3</li></ul></blockquote><p><strong>返回</strong>: 平面</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L184" 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;">    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><p><a href="https://docs.python.org/3/library/functions.html#classmethod" target="_blank" rel="noreferrer"><code>@classmethod</code></a></p><h4 id="def-from-three-points-cls-p1-point3-p2-point3-p3-point3-plane3" tabindex="-1"><em><strong>def</strong></em> <code>from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -&gt; Plane3</code> <a class="header-anchor" href="#def-from-three-points-cls-p1-point3-p2-point3-p3-point3-plane3" aria-label="Permalink to &quot;***def*** \`from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -&gt; Plane3\`&quot;">​</a></h4><p><strong>说明</strong>: 工厂函数 由三点构造平面。</p><p><strong>参数</strong>:</p><blockquote><ul><li>p1 (<a href="./point.html#class-point3"><code>Point3</code></a>): 点1</li><li>p2 (<code>Point3</code>): 点2</li><li>p3 (<code>Point3</code>): 点3</li></ul></blockquote><p><strong>返回</strong>: 平面</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L185" 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_three_points</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cls, p1: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, p2: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, p3: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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;">            p1 ([\`Point3\`](./point#class-point3)): 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;">            p2 (\`Point3\`): 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;">            p3 (\`Point3\`): 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;">        &quot;&quot;&quot;</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><p><code>@classmethod</code></p><h4 id="def-from-two-lines-cls-l1-line3-l2-line3-plane3" tabindex="-1"><em><strong>def</strong></em> <code>from_two_lines(cls, l1: Line3, l2: Line3) -&gt; Plane3</code> <a class="header-anchor" href="#def-from-two-lines-cls-l1-line3-l2-line3-plane3" aria-label="Permalink to &quot;***def*** \`from_two_lines(cls, l1: Line3, l2: Line3) -&gt; Plane3\`&quot;">​</a></h4><p><strong>说明</strong>: 工厂函数 由两直线构造平面。</p><p><strong>参数</strong>:</p><blockquote><ul><li>l1: 直线1</li><li>l2: 直线2</li></ul></blockquote><p><strong>返回</strong>: 平面</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.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;">    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><p><a href="https://docs.python.org/3/library/functions.html#classmethod" target="_blank" rel="noreferrer"><code>@classmethod</code></a></p><h4 id="def-from-two-lines-cls-l1-line3-l2-line3-plane3" tabindex="-1"><em><strong>def</strong></em> <code>from_two_lines(cls, l1: Line3, l2: Line3) -&gt; Plane3</code> <a class="header-anchor" href="#def-from-two-lines-cls-l1-line3-l2-line3-plane3" aria-label="Permalink to &quot;***def*** \`from_two_lines(cls, l1: Line3, l2: Line3) -&gt; Plane3\`&quot;">​</a></h4><p><strong>说明</strong>: 工厂函数 由两直线构造平面。</p><p><strong>参数</strong>:</p><blockquote><ul><li>l1 (<a href="./line.html#class-line3"><code>Line3</code></a>): 直线</li><li>l2 (<code>Line3</code>): 直线</li></ul></blockquote><p><strong>返回</strong>: 平面</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L203" 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_lines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cls, l1: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, l2: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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;">            l1 ([\`Line3\`](./line#class-line3)): 直线</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;">            l2 (\`Line3\`): 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;">            平面</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
@@ -160,27 +161,29 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y
 <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><p><code>@classmethod</code></p><h4 id="def-from-point-and-line-cls-point-point3-line-line3-plane3" tabindex="-1"><em><strong>def</strong></em> <code>from_point_and_line(cls, point: Point3, line: Line3) -&gt; Plane3</code> <a class="header-anchor" href="#def-from-point-and-line-cls-point-point3-line-line3-plane3" aria-label="Permalink to &quot;***def*** \`from_point_and_line(cls, point: Point3, line: Line3) -&gt; Plane3\`&quot;">​</a></h4><p><strong>说明</strong>: 工厂函数 由点和直线构造平面。</p><p><strong>参数</strong>:</p><blockquote><ul><li>point: 面上一点</li><li>line: 面上直线，不包含点</li></ul></blockquote><p><strong>返回</strong>: 平面</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L218" 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;">    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><p><a href="https://docs.python.org/3/library/functions.html#classmethod" target="_blank" rel="noreferrer"><code>@classmethod</code></a></p><h4 id="def-from-point-and-line-cls-point-point3-line-line3-plane3" tabindex="-1"><em><strong>def</strong></em> <code>from_point_and_line(cls, point: Point3, line: Line3) -&gt; Plane3</code> <a class="header-anchor" href="#def-from-point-and-line-cls-point-point3-line-line3-plane3" aria-label="Permalink to &quot;***def*** \`from_point_and_line(cls, point: Point3, line: Line3) -&gt; Plane3\`&quot;">​</a></h4><p><strong>说明</strong>: 工厂函数 由点和直线构造平面。</p><p><strong>参数</strong>:</p><blockquote><ul><li>point (<a href="./point.html#class-point3"><code>Point3</code></a>): 平面上一点</li><li>line (<a href="./line.html#class-line3"><code>Line3</code></a>): 直线</li></ul></blockquote><p><strong>返回</strong>: 平面</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L219" 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_point_and_line</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cls, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, line: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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;">            point ([\`Point3\`](./point#class-point3)): 平面上一点</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;">            line ([\`Line3\`](./line#class-line3)): 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;">            平面</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> cls</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.from_point_and_normal(point, line.direction)</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-and-self-other-line3-point3-none" tabindex="-1"><em><strong>def</strong></em> <code>__and__(self, other: Line3) -&gt; Point3 | None</code> <a class="header-anchor" href="#def-and-self-other-line3-point3-none" aria-label="Permalink to &quot;***def*** \`__and__(self, other: Line3) -&gt; Point3 | None\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L245" 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;">@overload</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><p><code>@overload</code></p><h4 id="def-and-self-other-line3-point3-none" tabindex="-1"><em><strong>def</strong></em> <code>__and__(self, other: Line3) -&gt; Point3 | None</code> <a class="header-anchor" href="#def-and-self-other-line3-point3-none" aria-label="Permalink to &quot;***def*** \`__and__(self, other: Line3) -&gt; Point3 | None\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L256" 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;">@overload</span></span>
 <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;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3 | None&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-and-self-other-plane3-line3-none" tabindex="-1"><em><strong>def</strong></em> <code>__and__(self, other: Plane3) -&gt; Line3 | None</code> <a class="header-anchor" href="#def-and-self-other-plane3-line3-none" aria-label="Permalink to &quot;***def*** \`__and__(self, other: Plane3) -&gt; Line3 | None\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L249" 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;">@overload</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-and-self-other-plane3-line3-none" tabindex="-1"><em><strong>def</strong></em> <code>__and__(self, other: Plane3) -&gt; Line3 | None</code> <a class="header-anchor" href="#def-and-self-other-plane3-line3-none" aria-label="Permalink to &quot;***def*** \`__and__(self, other: Plane3) -&gt; Line3 | None\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L260" 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;">@overload</span></span>
 <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;">&#39;Plane3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3 | None&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="def-and-self-other" tabindex="-1"><em><strong>def</strong></em> <code>__and__(self, other)</code> <a class="header-anchor" href="#def-and-self-other" aria-label="Permalink to &quot;***def*** \`__and__(self, other)\`&quot;">​</a></h4><p><strong>说明</strong>: 取两平面的交集（人话：交线）</p><p><strong>参数</strong>:</p><blockquote><ul><li>other:</li></ul></blockquote><p><strong>返回</strong>: 不平行平面的交线，平面平行返回None</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L252" 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>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="def-and-self-other" tabindex="-1"><em><strong>def</strong></em> <code>__and__(self, other)</code> <a class="header-anchor" href="#def-and-self-other" aria-label="Permalink to &quot;***def*** \`__and__(self, other)\`&quot;">​</a></h4><p><strong>说明</strong>: 取两平面的交集（人话：交线）</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./line.html#class-line3"><code>Line3</code></a> | <a href="./plane.html#class-plane3"><code>Plane3</code></a>): 另一个平面或直线</li></ul></blockquote><p><strong>返回</strong>: <a href="./line.html#class-line3"><code>Line3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a> | <a href="https://docs.python.org/3/library/constants.html#None" target="_blank" rel="noreferrer"><code>None</code></a>: 交集</p><p><strong>引发</strong>:</p><blockquote><ul><li><a href="https://docs.python.org/3/library/exceptions.html#TypeError" target="_blank" rel="noreferrer"><code>TypeError</code></a> 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/plane.py#L263" 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>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        取两平面的交集（人话：交线）</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:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Line3\`](./line#class-line3) | [\`Plane3\`](./plane#class-plane3)): 另一个平面或直线</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;">            不平行平面的交线，平面平行返回None</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`Line3\`](./line#class-line3) | [\`Point3\`](./point#class-point3) | [\`None\`](https%3A//docs.python.org/3/library/constants.html#None): 交集</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\`](https%3A//docs.python.org/3/library/exceptions.html#TypeError): 不支持的类型</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Plane3):</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>
@@ -191,6 +194,13 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y
 <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;">        return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cal_intersection_point3(other)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for &amp;: &#39;Plane3&#39; and &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-eq-self-other-bool" tabindex="-1"><em><strong>def</strong></em> <code>__eq__(self, other) -&gt; bool</code> <a class="header-anchor" href="#def-eq-self-other-bool" aria-label="Permalink to &quot;***def*** \`__eq__(self, other) -&gt; bool\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L271" 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) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for &amp;: &#39;Plane3&#39; and &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-eq-self-other-bool" tabindex="-1"><em><strong>def</strong></em> <code>__eq__(self, other) -&gt; bool</code> <a class="header-anchor" href="#def-eq-self-other-bool" aria-label="Permalink to &quot;***def*** \`__eq__(self, other) -&gt; bool\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个平面是否等价。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./plane.html#class-plane3"><code>Plane3</code></a>): 另一个平面</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否等价</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L284" 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) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.approx(other)</span></span></code></pre></div></details><h4 id="def-rand-self-other-line3-point3" tabindex="-1"><em><strong>def</strong></em> <code>__rand__(self, other: Line3) -&gt; Point3</code> <a class="header-anchor" href="#def-rand-self-other-line3-point3" aria-label="Permalink to &quot;***def*** \`__rand__(self, other: Line3) -&gt; Point3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L274" 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;"> __rand__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#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_point3(other)</span></span></code></pre></div></details>`,105),h=[t];function p(k,e,r,d,E,o){return a(),i("div",null,h)}const F=s(l,[["render",p]]);export{y as __pageData,F as default};
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两个平面是否等价。</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 ([\`Plane3\`](./plane#class-plane3)): 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;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否等价</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.approx(other)</span></span></code></pre></div></details><h4 id="def-rand-self-other-line3-point3" tabindex="-1"><em><strong>def</strong></em> <code>__rand__(self, other: Line3) -&gt; Point3</code> <a class="header-anchor" href="#def-rand-self-other-line3-point3" aria-label="Permalink to &quot;***def*** \`__rand__(self, other: Line3) -&gt; Point3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/plane.py#L294" 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;"> __rand__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Line3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#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_point3(other)</span></span></code></pre></div></details>`,113),h=[t];function p(e,k,r,o,d,E){return a(),i("div",null,h)}const F=s(l,[["render",p]]);export{y as __pageData,F as default};

assets/api_mp_math_plane.md.Dv-GWbJg.lean.js

@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/plane.md","filePath":"zh/api/mp_math/plane.md"}'),l={name:"api/mp_math/plane.md"},t=n("",105),h=[t];function p(k,e,r,d,E,o){return a(),i("div",null,h)}const F=s(l,[["render",p]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/plane.md","filePath":"zh/api/mp_math/plane.md"}'),l={name:"api/mp_math/plane.md"},t=n("",113),h=[t];function p(e,k,r,o,d,E){return a(),i("div",null,h)}const F=s(l,[["render",p]]);export{y as __pageData,F as default};

assets/api_mp_math_point.md.BvvrKTY8.js

@@ -1,51 +1,52 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/point.md","filePath":"zh/api/mp_math/point.md"}'),n={name:"api/mp_math/point.md"},l=t(`<h1 id="mbcp-mp-math-point" tabindex="-1">mbcp.mp_math.point <a class="header-anchor" href="#mbcp-mp-math-point" aria-label="Permalink to &quot;mbcp.mp_math.point&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了三维空间中点的类。</p><h3 id="class-point3" tabindex="-1"><em><strong>class</strong></em> <code>Point3</code> <a class="header-anchor" href="#class-point3" aria-label="Permalink to &quot;***class*** \`Point3\`&quot;">​</a></h3><h4 id="def-init-self-x-float-y-float-z-float" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, x: float, y: float, z: float)</code> <a class="header-anchor" href="#def-init-self-x-float-y-float-z-float" aria-label="Permalink to &quot;***def*** \`__init__(self, x: float, y: float, z: float)\`&quot;">​</a></h4><p><strong>说明</strong>: 笛卡尔坐标系中的点。</p><p><strong>参数</strong>:</p><blockquote><ul><li>x: x 坐标</li><li>y: y 坐标</li><li>z: z 坐标</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L15" 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, x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, y: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, z: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/point.md","filePath":"zh/api/mp_math/point.md"}'),n={name:"api/mp_math/point.md"},l=t(`<h1 id="mbcp-mp-math-point" tabindex="-1">mbcp.mp_math.point <a class="header-anchor" href="#mbcp-mp-math-point" aria-label="Permalink to &quot;mbcp.mp_math.point&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了三维空间中点的类。</p><h3 id="class-point3" tabindex="-1"><em><strong>class</strong></em> <code>Point3</code> <a class="header-anchor" href="#class-point3" aria-label="Permalink to &quot;***class*** \`Point3\`&quot;">​</a></h3><h4 id="def-init-self-x-float-y-float-z-float" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, x: float, y: float, z: float)</code> <a class="header-anchor" href="#def-init-self-x-float-y-float-z-float" aria-label="Permalink to &quot;***def*** \`__init__(self, x: float, y: float, z: float)\`&quot;">​</a></h4><p><strong>说明</strong>: 笛卡尔坐标系中的点。</p><p><strong>参数</strong>:</p><blockquote><ul><li>x (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): x 坐标</li><li>y (<code>float</code>): y 坐标</li><li>z (<code>float</code>): z 坐标</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L15" 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, x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, y: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, z: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        笛卡尔坐标系中的点。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            x: x 坐标</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            x ([\`float\`](https://docs.python.org/3/library/functions.html#float)): x 坐标</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            y: y 坐标</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            y (\`float\`): y 坐标</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            z: z 坐标</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            z (\`float\`): z 坐标</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> z</span></span></code></pre></div></details><h4 id="def-approx-self-other-point3-epsilon-float-approx-bool" tabindex="-1"><em><strong>def</strong></em> <code>approx(self, other: Point3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#def-approx-self-other-point3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***def*** \`approx(self, other: Point3, epsilon: float = APPROX) -&gt; bool\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个点是否近似相等。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other:</li><li>epsilon:</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/point.py#L27" 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;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> z</span></span></code></pre></div></details><h4 id="def-approx-self-other-point3-epsilon-float-approx-bool" tabindex="-1"><em><strong>def</strong></em> <code>approx(self, other: Point3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#def-approx-self-other-point3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***def*** \`approx(self, other: Point3, epsilon: float = APPROX) -&gt; bool\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个点是否近似相等。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./point.html#class-point3"><code>Point3</code></a>): 另一个点</li><li>epsilon (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 误差</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似相等</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L27" 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;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两个点是否近似相等。</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;">            other ([\`Point3\`](./point#class-point3)): 另一个点</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            epsilon:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            epsilon ([\`float\`](https://docs.python.org/3/library/functions.html#float)): 误差</span></span>
-<span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            是否近似相等</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`bool\`](https://docs.python.org/3/library/functions.html#bool): 是否近似相等</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> all</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon])</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-vector3-point3" tabindex="-1"><em><strong>def</strong></em> <code>self + other: Vector3 =&gt; Point3</code> <a class="header-anchor" href="#def-self-other-vector3-point3" aria-label="Permalink to &quot;***def*** \`self + other: Vector3 =&gt; Point3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L43" 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;">@overload</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> all</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon])</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-vector3-point3" tabindex="-1"><em><strong>def</strong></em> <code>self + other: Vector3 =&gt; Point3</code> <a class="header-anchor" href="#def-self-other-vector3-point3" aria-label="Permalink to &quot;***def*** \`self + other: Vector3 =&gt; Point3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L47" 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;">@overload</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-point3-point3" tabindex="-1"><em><strong>def</strong></em> <code>self + other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#def-self-other-point3-point3" aria-label="Permalink to &quot;***def*** \`self + other: Point3 =&gt; Point3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L47" 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;">@overload</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-point3-point3" tabindex="-1"><em><strong>def</strong></em> <code>self + other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#def-self-other-point3-point3" aria-label="Permalink to &quot;***def*** \`self + other: Point3 =&gt; Point3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L51" 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;">@overload</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="def-self-other" tabindex="-1"><em><strong>def</strong></em> <code>self + other</code> <a class="header-anchor" href="#def-self-other" aria-label="Permalink to &quot;***def*** \`self + other\`&quot;">​</a></h4><p><strong>说明</strong>: P + V -&gt; P P + P -&gt; P</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/point.py#L50" 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;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="def-self-other" tabindex="-1"><em><strong>def</strong></em> <code>self + other</code> <a class="header-anchor" href="#def-self-other" aria-label="Permalink to &quot;***def*** \`self + other\`&quot;">​</a></h4><p><strong>说明</strong>: P + V -&gt; P P + P -&gt; P</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./vector.html#class-vector3"><code>Vector3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>): 另一个点或向量</li></ul></blockquote><p><strong>返回</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 新的点</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L54" 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;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        P + V -&gt; P</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        P + P -&gt; P</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Vector3\`](./vector#class-vector3) | [\`Point3\`](./point#class-point3)): 另一个点或向量</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;">            [\`Point3\`](./point#class-point3): 新的点</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span></code></pre></div></details><h4 id="def-eq-self-other" tabindex="-1"><em><strong>def</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#def-eq-self-other" aria-label="Permalink to &quot;***def*** \`__eq__(self, other)\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个点是否相等。</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/point.py#L60" 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>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span></code></pre></div></details><h4 id="def-eq-self-other" tabindex="-1"><em><strong>def</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#def-eq-self-other" aria-label="Permalink to &quot;***def*** \`__eq__(self, other)\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个点是否相等。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./point.html#class-point3"><code>Point3</code></a>): 另一个点</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否相等</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L65" 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>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两个点是否相等。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Point3\`](./point#class-point3)): 另一个点</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`bool\`](https://docs.python.org/3/library/functions.html#bool): 是否相等</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, other.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, other.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z, other.z)</span></span></code></pre></div></details><h4 id="def-self-other-point3-vector3" tabindex="-1"><em><strong>def</strong></em> <code>self - other: Point3 =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-point3-vector3" aria-label="Permalink to &quot;***def*** \`self - other: Point3 =&gt; Vector3\`&quot;">​</a></h4><p><strong>说明</strong>: P - P -&gt; V</p><p>P - V -&gt; P 已在 :class:<code>Vector3</code> 中实现</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/point.py#L69" 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;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, other.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, other.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z, other.z)</span></span></code></pre></div></details><h4 id="def-self-other-point3-vector3" tabindex="-1"><em><strong>def</strong></em> <code>self - other: Point3 =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-point3-vector3" aria-label="Permalink to &quot;***def*** \`self - other: Point3 =&gt; Vector3\`&quot;">​</a></h4><p><strong>说明</strong>: P - P -&gt; V</p><p>P - V -&gt; P 已在 <a href="./vector.html#class-vector3"><code>Vector3</code></a> 中实现</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./point.html#class-point3"><code>Point3</code></a>): 另一个点</li></ul></blockquote><p><strong>返回</strong>: <a href="./vector.html#class-vector3"><code>Vector3</code></a>: 新的向量</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L75" 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;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        P - P -&gt; V</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        P - V -&gt; P  已在 :class:\`Vector3\` 中实现</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        P - V -&gt; P  已在 [\`Vector3\`](./vector#class-vector3) 中实现</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;">            other ([\`Point3\`](./point#class-point3)): 另一个点</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`Vector3\`](./vector#class-vector3): 新的向量</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    from</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> .vector </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span></code></pre></div></details>`,36),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span></code></pre></div></details>`,39),h=[l];function e(p,k,o,r,d,g){return a(),i("div",null,h)}const y=s(n,[["render",e]]);export{E as __pageData,y as default};

assets/api_mp_math_point.md.BvvrKTY8.lean.js

@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/point.md","filePath":"zh/api/mp_math/point.md"}'),n={name:"api/mp_math/point.md"},l=t("",36),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/point.md","filePath":"zh/api/mp_math/point.md"}'),n={name:"api/mp_math/point.md"},l=t("",39),h=[l];function e(p,k,o,r,d,g){return a(),i("div",null,h)}const y=s(n,[["render",e]]);export{E as __pageData,y as default};

assets/api_mp_math_segment.md._n__ViVt.js

@@ -1,8 +1,9 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const o=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/segment.md","filePath":"zh/api/mp_math/segment.md"}'),t={name:"api/mp_math/segment.md"},p=n(`<h1 id="mbcp-mp-math-segment" tabindex="-1">mbcp.mp_math.segment <a class="header-anchor" href="#mbcp-mp-math-segment" aria-label="Permalink to &quot;mbcp.mp_math.segment&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了三维空间中的线段类</p><h3 id="class-segment3" tabindex="-1"><em><strong>class</strong></em> <code>Segment3</code> <a class="header-anchor" href="#class-segment3" aria-label="Permalink to &quot;***class*** \`Segment3\`&quot;">​</a></h3><h4 id="def-init-self-p1-point3-p2-point3" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, p1: Point3, p2: Point3)</code> <a class="header-anchor" href="#def-init-self-p1-point3-p2-point3" aria-label="Permalink to &quot;***def*** \`__init__(self, p1: Point3, p2: Point3)\`&quot;">​</a></h4><p><strong>说明</strong>: 三维空间中的线段。 :param p1: :param p2:</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/segment.py#L14" 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, p1: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, p2: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/segment.md","filePath":"zh/api/mp_math/segment.md"}'),t={name:"api/mp_math/segment.md"},p=n(`<h1 id="mbcp-mp-math-segment" tabindex="-1">mbcp.mp_math.segment <a class="header-anchor" href="#mbcp-mp-math-segment" aria-label="Permalink to &quot;mbcp.mp_math.segment&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了三维空间中的线段类</p><h3 id="class-segment3" tabindex="-1"><em><strong>class</strong></em> <code>Segment3</code> <a class="header-anchor" href="#class-segment3" aria-label="Permalink to &quot;***class*** \`Segment3\`&quot;">​</a></h3><h4 id="def-init-self-p1-point3-p2-point3" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, p1: Point3, p2: Point3)</code> <a class="header-anchor" href="#def-init-self-p1-point3-p2-point3" aria-label="Permalink to &quot;***def*** \`__init__(self, p1: Point3, p2: Point3)\`&quot;">​</a></h4><p><strong>说明</strong>: 三维空间中的线段。</p><p><strong>参数</strong>:</p><blockquote><ul><li>p1 (<a href="./point.html#class-point3"><code>Point3</code></a>): 线段的一个端点</li><li>p2 (<a href="./point.html#class-point3"><code>Point3</code></a>): 线段的另一个端点</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/segment.py#L14" 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, p1: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, p2: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        三维空间中的线段。</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        :param p1:</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;">        :param p2:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            p1 ([\`Point3\`](./point#class-point3)): 线段的一个端点</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            p2 ([\`Point3\`](./point#class-point3)): 线段的另一个端点</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.p1 </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:#005CC5;--shiki-dark:#79B8FF;">    self</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;"> p2</span></span>
@@ -11,4 +12,4 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const o
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &#39;长度&#39;</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#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:#032F62;--shiki-dark:#9ECBFF;">    &#39;中心点&#39;</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.midpoint </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3((</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.p1.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;">.p2.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.p1.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;">.p2.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.p1.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;">.p2.z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details>`,6),h=[p];function e(l,k,r,d,E,g){return a(),i("div",null,h)}const y=s(t,[["render",e]]);export{o as __pageData,y as default};
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.midpoint </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3((</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.p1.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;">.p2.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.p1.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;">.p2.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.p1.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;">.p2.z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details>`,8),h=[p];function l(e,k,r,d,E,g){return a(),i("div",null,h)}const c=s(t,[["render",l]]);export{F as __pageData,c as default};

assets/api_mp_math_segment.md._n__ViVt.lean.js

@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const o=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/segment.md","filePath":"zh/api/mp_math/segment.md"}'),t={name:"api/mp_math/segment.md"},p=n("",6),h=[p];function e(l,k,r,d,E,g){return a(),i("div",null,h)}const y=s(t,[["render",e]]);export{o as __pageData,y as default};
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/segment.md","filePath":"zh/api/mp_math/segment.md"}'),t={name:"api/mp_math/segment.md"},p=n("",8),h=[p];function l(e,k,r,d,E,g){return a(),i("div",null,h)}const c=s(t,[["render",l]]);export{F as __pageData,c as default};

assets/api_mp_math_utils.md.BcFVzvIc.lean.js

@@ -1 +0,0 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/utils.md","filePath":"zh/api/mp_math/utils.md"}'),t={name:"api/mp_math/utils.md"},l=n("",35),h=[l];function p(e,k,r,d,o,g){return a(),i("div",null,h)}const E=s(t,[["render",p]]);export{F as __pageData,E as default};

assets/api_mp_math_utils.md.kW3A-lG9.js

@@ -1,16 +1,21 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/utils.md","filePath":"zh/api/mp_math/utils.md"}'),t={name:"api/mp_math/utils.md"},l=n(`<h1 id="mbcp-mp-math-utils" tabindex="-1">mbcp.mp_math.utils <a class="header-anchor" href="#mbcp-mp-math-utils" aria-label="Permalink to &quot;mbcp.mp_math.utils&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了一些常用的工具函数</p><h3 id="def-clamp-x-float-min-float-max-float-float" tabindex="-1"><em><strong>def</strong></em> <code>clamp(x: float, min_: float, max_: float) -&gt; float</code> <a class="header-anchor" href="#def-clamp-x-float-min-float-max-float-float" aria-label="Permalink to &quot;***def*** \`clamp(x: float, min_: float, max_: float) -&gt; float\`&quot;">​</a></h3><p><strong>说明</strong>: 区间限定函数</p><p><strong>参数</strong>:</p><blockquote><ul><li>x: 待限定的值</li><li>min_: 最小值</li><li>max_: 最大值</li></ul></blockquote><p><strong>返回</strong>: 限制后的值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L17" 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;"> clamp</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, min_: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, max_: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/utils.md","filePath":"zh/api/mp_math/utils.md"}'),n={name:"api/mp_math/utils.md"},l=t(`<h1 id="mbcp-mp-math-utils" tabindex="-1">mbcp.mp_math.utils <a class="header-anchor" href="#mbcp-mp-math-utils" aria-label="Permalink to &quot;mbcp.mp_math.utils&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了一些常用的工具函数</p><h3 id="def-clamp-x-float-min-float-max-float-float" tabindex="-1"><em><strong>def</strong></em> <code>clamp(x: float, min_: float, max_: float) -&gt; float</code> <a class="header-anchor" href="#def-clamp-x-float-min-float-max-float-float" aria-label="Permalink to &quot;***def*** \`clamp(x: float, min_: float, max_: float) -&gt; float\`&quot;">​</a></h3><p><strong>说明</strong>: 区间限定函数</p><p><strong>参数</strong>:</p><blockquote><ul><li>x (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 值</li><li>min_ (<code>float</code>): 最小值</li><li>max_ (<code>float</code>): 最大值</li></ul></blockquote><p><strong>返回</strong>: <code>float</code>: 限定在区间内的值</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L17" 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;"> clamp</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, min_: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, max_: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    区间限定函数</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        x: 待限定的值</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        x ([\`float\`](https://docs.python.org/3/library/functions.html#float)): 值</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        min_: 最小值</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        min_ (\`float\`): 最小值</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        max_: 最大值</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        max_ (\`float\`): 最大值</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;">        限制后的值</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        \`float\`: 限定在区间内的值</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> max</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">min</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x, max_), min_)</span></span></code></pre></div></details><h3 id="class-approx" tabindex="-1"><em><strong>class</strong></em> <code>Approx</code> <a class="header-anchor" href="#class-approx" aria-label="Permalink to &quot;***class*** \`Approx\`&quot;">​</a></h3><h4 id="def-init-self-value-realnumber" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, value: RealNumber)</code> <a class="header-anchor" href="#def-init-self-value-realnumber" aria-label="Permalink to &quot;***def*** \`__init__(self, value: RealNumber)\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L37" 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, value: RealNumber):</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> max</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">min</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x, max_), min_)</span></span></code></pre></div></details><h3 id="class-approx" tabindex="-1"><em><strong>class</strong></em> <code>Approx</code> <a class="header-anchor" href="#class-approx" aria-label="Permalink to &quot;***class*** \`Approx\`&quot;">​</a></h3><h4 id="def-init-self-value-realnumber" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, value: RealNumber)</code> <a class="header-anchor" href="#def-init-self-value-realnumber" aria-label="Permalink to &quot;***def*** \`__init__(self, value: RealNumber)\`&quot;">​</a></h4><p><strong>说明</strong>: 用于近似比较对象</p><p><strong>参数</strong>:</p><blockquote><ul><li>value (<a href="./mp_math_typing.html#realnumber"><code>RealNumber</code></a>): 实数</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L36" 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, value: RealNumber):</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.value </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> value</span></span></code></pre></div></details><h4 id="def-eq-self-other" tabindex="-1"><em><strong>def</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#def-eq-self-other" aria-label="Permalink to &quot;***def*** \`__eq__(self, other)\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.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:#005CC5;--shiki-dark:#79B8FF;"> __eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        用于近似比较对象</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;">            value ([\`RealNumber\`](./mp_math_typing#realnumber)): 实数</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.value </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> value</span></span></code></pre></div></details><h4 id="def-eq-self-other" tabindex="-1"><em><strong>def</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#def-eq-self-other" aria-label="Permalink to &quot;***def*** \`__eq__(self, other)\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L44" 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>
 <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;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.value, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)):</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)):</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            return</span><span style="--shiki-light:#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;">.value </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> APPROX</span></span>
@@ -20,45 +25,45 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, (Vector3, Point3, Plane3, Line3)):</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> all</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.value.x, other.x), approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.value.y, other.y), approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.value.z, other.z)])</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">            self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.raise_type_error(other)</span></span></code></pre></div></details><h4 id="def-raise-type-error-self-other" tabindex="-1"><em><strong>def</strong></em> <code>raise_type_error(self, other)</code> <a class="header-anchor" href="#def-raise-type-error-self-other" aria-label="Permalink to &quot;***def*** \`raise_type_error(self, other)\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.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;"> raise_type_error</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">            self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.raise_type_error(other)</span></span></code></pre></div></details><h4 id="def-raise-type-error-self-other" tabindex="-1"><em><strong>def</strong></em> <code>raise_type_error(self, other)</code> <a class="header-anchor" href="#def-raise-type-error-self-other" aria-label="Permalink to &quot;***def*** \`raise_type_error(self, other)\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L56" 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;"> raise_type_error</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Unsupported type: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</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;">.value)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> and </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-ne-self-other" tabindex="-1"><em><strong>def</strong></em> <code>__ne__(self, other)</code> <a class="header-anchor" href="#def-ne-self-other" aria-label="Permalink to &quot;***def*** \`__ne__(self, other)\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L55" 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;"> __ne__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Unsupported type: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</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;">.value)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> and </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-ne-self-other" tabindex="-1"><em><strong>def</strong></em> <code>__ne__(self, other)</code> <a class="header-anchor" href="#def-ne-self-other" aria-label="Permalink to &quot;***def*** \`__ne__(self, other)\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L59" 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;"> __ne__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</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;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">__eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span></span></code></pre></div></details><h3 id="def-approx-x-float-y-float-0-0-epsilon-float-approx-bool" tabindex="-1"><em><strong>def</strong></em> <code>approx(x: float, y: float = 0.0, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#def-approx-x-float-y-float-0-0-epsilon-float-approx-bool" aria-label="Permalink to &quot;***def*** \`approx(x: float, y: float = 0.0, epsilon: float = APPROX) -&gt; bool\`&quot;">​</a></h3><p><strong>说明</strong>: 判断两个数是否近似相等。或包装一个实数，用于判断是否近似于0。</p><p><strong>参数</strong>:</p><blockquote><ul><li>x: 数1</li><li>y: 数2</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/utils.py#L59" 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;">(x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, y: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</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;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">__eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span></span></code></pre></div></details><h3 id="def-approx-x-float-y-float-0-0-epsilon-float-approx-bool" tabindex="-1"><em><strong>def</strong></em> <code>approx(x: float, y: float = 0.0, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#def-approx-x-float-y-float-0-0-epsilon-float-approx-bool" aria-label="Permalink to &quot;***def*** \`approx(x: float, y: float = 0.0, epsilon: float = APPROX) -&gt; bool\`&quot;">​</a></h3><p><strong>说明</strong>: 判断两个数是否近似相等。或包装一个实数，用于判断是否近似于0。</p><p><strong>参数</strong>:</p><blockquote><ul><li>x (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 数1</li><li>y (<code>float</code>): 数2</li><li>epsilon (<code>float</code>): 误差</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似相等</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L63" 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;">(x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, y: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    判断两个数是否近似相等。或包装一个实数，用于判断是否近似于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;">        x: 数1</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        x ([\`float\`](https://docs.python.org/3/library/functions.html#float)): 数1</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        y: 数2</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        y (\`float\`): 数2</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;">        epsilon (\`float\`): 误差</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        是否近似相等</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        [\`bool\`](https://docs.python.org/3/library/functions.html#bool): 是否近似相等</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span></code></pre></div></details><h3 id="def-sign-x-float-only-neg-bool-false-str" tabindex="-1"><em><strong>def</strong></em> <code>sign(x: float, only_neg: bool = False) -&gt; str</code> <a class="header-anchor" href="#def-sign-x-float-only-neg-bool-false-str" aria-label="Permalink to &quot;***def*** \`sign(x: float, only_neg: bool = False) -&gt; str\`&quot;">​</a></h3><p><strong>说明</strong>: 获取数的符号。</p><p><strong>参数</strong>:</p><blockquote><ul><li>x: 数</li><li>only_neg: 是否只返回负数的符号</li></ul></blockquote><p><strong>返回</strong>: 符号 + - &quot;&quot;</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L72" 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;"> sign</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, only_neg: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">False</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">str</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;"> abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span></code></pre></div></details><h3 id="def-sign-x-float-only-neg-bool-false-str" tabindex="-1"><em><strong>def</strong></em> <code>sign(x: float, only_neg: bool = False) -&gt; str</code> <a class="header-anchor" href="#def-sign-x-float-only-neg-bool-false-str" aria-label="Permalink to &quot;***def*** \`sign(x: float, only_neg: bool = False) -&gt; str\`&quot;">​</a></h3><p><strong>说明</strong>: 获取数的符号。</p><p><strong>参数</strong>:</p><blockquote><ul><li>x (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 数</li><li>only_neg (<a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>): 是否只返回负数的符号</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#str" target="_blank" rel="noreferrer"><code>str</code></a>: 符号 + - &quot;&quot;</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L76" 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;"> sign</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, only_neg: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">False</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">str</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;获取数的符号。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        x: 数</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        x ([\`float\`](https://docs.python.org/3/library/functions.html#float)): 数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        only_neg: 是否只返回负数的符号</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        only_neg ([\`bool\`](https://docs.python.org/3/library/functions.html#bool)): 是否只返回负数的符号</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;">        符号 + - &quot;&quot;</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        [\`str\`](https://docs.python.org/3/library/functions.html#str): 符号 + - &quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&gt;</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;">        return</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &#39;+&#39;</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> not</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> only_neg </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">else</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &#39;&#39;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    elif</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</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;">        return</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &#39;-&#39;</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:#032F62;--shiki-dark:#9ECBFF;"> &#39;&#39;</span></span></code></pre></div></details><h3 id="def-sign-format-x-float-only-neg-bool-false-str" tabindex="-1"><em><strong>def</strong></em> <code>sign_format(x: float, only_neg: bool = False) -&gt; str</code> <a class="header-anchor" href="#def-sign-format-x-float-only-neg-bool-false-str" aria-label="Permalink to &quot;***def*** \`sign_format(x: float, only_neg: bool = False) -&gt; str\`&quot;">​</a></h3><p><strong>说明</strong>: 格式化符号数 -1 -&gt; -1 1 -&gt; +1 0 -&gt; &quot;&quot;</p><p><strong>参数</strong>:</p><blockquote><ul><li>x: 数</li><li>only_neg: 是否只返回负数的符号</li></ul></blockquote><p><strong>返回</strong>: 符号 + - &quot;&quot;</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L88" 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;"> sign_format</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, only_neg: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">False</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">str</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:#032F62;--shiki-dark:#9ECBFF;"> &#39;&#39;</span></span></code></pre></div></details><h3 id="def-sign-format-x-float-only-neg-bool-false-str" tabindex="-1"><em><strong>def</strong></em> <code>sign_format(x: float, only_neg: bool = False) -&gt; str</code> <a class="header-anchor" href="#def-sign-format-x-float-only-neg-bool-false-str" aria-label="Permalink to &quot;***def*** \`sign_format(x: float, only_neg: bool = False) -&gt; str\`&quot;">​</a></h3><p><strong>说明</strong>: 格式化符号数 -1 -&gt; -1 1 -&gt; +1 0 -&gt; &quot;&quot;</p><p><strong>参数</strong>:</p><blockquote><ul><li>x (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 数</li><li>only_neg (<a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>): 是否只返回负数的符号</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#str" target="_blank" rel="noreferrer"><code>str</code></a>: 符号 + - &quot;&quot;</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L92" 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;"> sign_format</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, only_neg: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">False</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">str</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;格式化符号数</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    -1 -&gt; -1</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    1 -&gt; +1</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    0 -&gt; &quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        x: 数</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        x ([\`float\`](https://docs.python.org/3/library/functions.html#float)): 数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        only_neg: 是否只返回负数的符号</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        only_neg ([\`bool\`](https://docs.python.org/3/library/functions.html#bool)): 是否只返回负数的符号</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;">        符号 + - &quot;&quot;</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        [\`str\`](https://docs.python.org/3/library/functions.html#str): 符号 + - &quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&gt;</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;">        return</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">x</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> not</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> only_neg </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">else</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">x</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    elif</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</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;">        return</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;</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:#032F62;--shiki-dark:#9ECBFF;"> &#39;&#39;</span></span></code></pre></div></details>`,35),h=[l];function p(e,k,r,d,o,g){return a(),i("div",null,h)}const E=s(t,[["render",p]]);export{F as __pageData,E as default};
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &#39;&#39;</span></span></code></pre></div></details>`,38),h=[l];function e(p,k,r,o,d,g){return a(),i("div",null,h)}const E=s(n,[["render",e]]);export{F as __pageData,E as default};

assets/api_mp_math_utils.md.kW3A-lG9.lean.js

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assets/api_mp_math_vector.md.DvJcuPXW.js

@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/vector.md","filePath":"zh/api/mp_math/vector.md"}'),n={name:"api/mp_math/vector.md"},h=t(`<h1 id="mbcp-mp-math-vector" tabindex="-1">mbcp.mp_math.vector <a class="header-anchor" href="#mbcp-mp-math-vector" aria-label="Permalink to &quot;mbcp.mp_math.vector&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了3维向量的类Vector3，以及一些常用的向量。</p><h3 id="class-vector3" tabindex="-1"><em><strong>class</strong></em> <code>Vector3</code> <a class="header-anchor" href="#class-vector3" aria-label="Permalink to &quot;***class*** \`Vector3\`&quot;">​</a></h3><h4 id="def-init-self-x-float-y-float-z-float" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, x: float, y: float, z: float)</code> <a class="header-anchor" href="#def-init-self-x-float-y-float-z-float" aria-label="Permalink to &quot;***def*** \`__init__(self, x: float, y: float, z: float)\`&quot;">​</a></h4><p><strong>说明</strong>: 3维向量</p><p><strong>参数</strong>:</p><blockquote><ul><li>x: x轴分量</li><li>y: y轴分量</li><li>z: z轴分量</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L18" 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, x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, y: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, z: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/vector.md","filePath":"zh/api/mp_math/vector.md"}'),n={name:"api/mp_math/vector.md"},e=t(`<h1 id="mbcp-mp-math-vector" tabindex="-1">mbcp.mp_math.vector <a class="header-anchor" href="#mbcp-mp-math-vector" aria-label="Permalink to &quot;mbcp.mp_math.vector&quot;">​</a></h1><p><strong>说明</strong>: 本模块定义了3维向量的类Vector3，以及一些常用的向量。</p><h3 id="class-vector3" tabindex="-1"><em><strong>class</strong></em> <code>Vector3</code> <a class="header-anchor" href="#class-vector3" aria-label="Permalink to &quot;***class*** \`Vector3\`&quot;">​</a></h3><h4 id="def-init-self-x-float-y-float-z-float" tabindex="-1"><em><strong>def</strong></em> <code>__init__(self, x: float, y: float, z: float)</code> <a class="header-anchor" href="#def-init-self-x-float-y-float-z-float" aria-label="Permalink to &quot;***def*** \`__init__(self, x: float, y: float, z: float)\`&quot;">​</a></h4><p><strong>说明</strong>: 3维向量</p><p><strong>参数</strong>:</p><blockquote><ul><li>x: x轴分量</li><li>y: y轴分量</li><li>z: z轴分量</li></ul></blockquote><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L18" 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, x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, y: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, z: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        3维向量</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
@@ -18,15 +18,15 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y
 <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;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> all</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon])</span></span></code></pre></div></details><h4 id="def-cal-angle-self-other-vector3-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>cal_angle(self, other: Vector3) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-cal-angle-self-other-vector3-anyangle" aria-label="Permalink to &quot;***def*** \`cal_angle(self, other: Vector3) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>说明</strong>: 计算两个向量之间的夹角。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一个向量</li></ul></blockquote><p><strong>返回</strong>: 夹角</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L42" 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;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> all</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon])</span></span></code></pre></div></details><h4 id="def-cal-angle-self-other-vector3-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>cal_angle(self, other: Vector3) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-cal-angle-self-other-vector3-anyangle" aria-label="Permalink to &quot;***def*** \`cal_angle(self, other: Vector3) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>说明</strong>: 计算两个向量之间的夹角。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>返回</strong>: <a href="./angle.html#class-anyangle"><code>AnyAngle</code></a>: 夹角</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L42" 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;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        计算两个向量之间的夹角。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other: 另一个向量</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Vector3\`](#class-vector3)): 另一个向量</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            夹角</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`AnyAngle\`](./angle#class-anyangle): 夹角</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(math.acos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> @</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.length)), </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-cross-self-other-vector3-vector3" tabindex="-1"><em><strong>def</strong></em> <code>cross(self, other: Vector3) -&gt; Vector3</code> <a class="header-anchor" href="#def-cross-self-other-vector3-vector3" aria-label="Permalink to &quot;***def*** \`cross(self, other: Vector3) -&gt; Vector3\`&quot;">​</a></h4><p><strong>说明</strong>: 向量积 叉乘：v1 cross v2 -&gt; v3</p><p>叉乘为0，则两向量平行。 其余结果的模为平行四边形的面积。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other:</li></ul></blockquote><p><strong>返回</strong>: 行列式的结果</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.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;"> cross</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(math.acos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> @</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.length)), </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-cross-self-other-vector3-vector3" tabindex="-1"><em><strong>def</strong></em> <code>cross(self, other: Vector3) -&gt; Vector3</code> <a class="header-anchor" href="#def-cross-self-other-vector3-vector3" aria-label="Permalink to &quot;***def*** \`cross(self, other: Vector3) -&gt; Vector3\`&quot;">​</a></h4><p><strong>说明</strong>: 向量积 叉乘：v1 cross v2 -&gt; v3</p><p>叉乘为0，则两向量平行。 其余结果的模为平行四边形的面积。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>返回</strong>: <a href="#class-vector3"><code>Vector3</code></a>: 叉乘结果</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.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;"> cross</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        向量积 叉乘：v1 cross v2 -&gt; v3</span></span>
 <span class="line"></span>
@@ -42,26 +42,26 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        \`\`x2 y2 z2\`\`</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Vector3\`](#class-vector3)): 另一个向量</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            行列式的结果</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`Vector3\`](#class-vector3): 叉乘结果</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x)</span></span></code></pre></div></details><h4 id="def-is-approx-parallel-self-other-vector3-epsilon-float-approx-bool" tabindex="-1"><em><strong>def</strong></em> <code>is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#def-is-approx-parallel-self-other-vector3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***def*** \`is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -&gt; bool\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个向量是否近似平行。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一个向量</li><li>epsilon: 允许的误差</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/vector.py#L76" 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;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x)</span></span></code></pre></div></details><h4 id="def-is-approx-parallel-self-other-vector3-epsilon-float-approx-bool" tabindex="-1"><em><strong>def</strong></em> <code>is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#def-is-approx-parallel-self-other-vector3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***def*** \`is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -&gt; bool\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个向量是否近似平行。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li><li>epsilon (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 误差</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似平行</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L76" 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;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两个向量是否近似平行。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other: 另一个向量</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Vector3\`](#class-vector3)): 另一个向量</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            epsilon: 允许的误差</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            epsilon ([\`float\`](https%3A//docs.python.org/3/library/functions.html#float)): 误差</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            是否近似平行</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否近似平行</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cross(other).length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span></code></pre></div></details><h4 id="def-is-parallel-self-other-vector3-bool" tabindex="-1"><em><strong>def</strong></em> <code>is_parallel(self, other: Vector3) -&gt; bool</code> <a class="header-anchor" href="#def-is-parallel-self-other-vector3-bool" aria-label="Permalink to &quot;***def*** \`is_parallel(self, other: Vector3) -&gt; bool\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个向量是否平行。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other: 另一个向量</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/vector.py#L87" 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;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cross(other).length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span></code></pre></div></details><h4 id="def-is-parallel-self-other-vector3-bool" tabindex="-1"><em><strong>def</strong></em> <code>is_parallel(self, other: Vector3) -&gt; bool</code> <a class="header-anchor" href="#def-is-parallel-self-other-vector3-bool" aria-label="Permalink to &quot;***def*** \`is_parallel(self, other: Vector3) -&gt; bool\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个向量是否平行。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否平行</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L87" 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;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两个向量是否平行。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other: 另一个向量</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Vector3\`](#class-vector3)): 另一个向量</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            是否平行</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否平行</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cross(other).approx(zero_vector3)</span></span></code></pre></div></details><h4 id="def-normalize-self" tabindex="-1"><em><strong>def</strong></em> <code>normalize(self)</code> <a class="header-anchor" href="#def-normalize-self" aria-label="Permalink to &quot;***def*** \`normalize(self)\`&quot;">​</a></h4><p><strong>说明</strong>: 将向量归一化。</p><p>自体归一化，不返回值。</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L97" 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;"> normalize</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
@@ -72,116 +72,126 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-np-array-self-np-ndarray" tabindex="-1"><em><strong>def</strong></em> <code>np_array(self) -&gt; np.ndarray</code> <a class="header-anchor" href="#def-np-array-self-np-ndarray" aria-label="Permalink to &quot;***def*** \`np_array(self) -&gt; np.ndarray\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L109" 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;">property</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-np-array-self-np-ndarray" tabindex="-1"><em><strong>def</strong></em> <code>np_array(self) -&gt; np.ndarray</code> <a class="header-anchor" href="#def-np-array-self-np-ndarray" aria-label="Permalink to &quot;***def*** \`np_array(self) -&gt; np.ndarray\`&quot;">​</a></h4><p><strong>返回</strong>: <a href="https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html" target="_blank" rel="noreferrer"><code>np.ndarray</code></a>: numpy数组</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L109" 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;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> np_array</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;np.ndarray&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        返回numpy数组</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`np.ndarray\`](https%3A//numpy.org/doc/stable/reference/generated/numpy.ndarray.html): numpy数组</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z])</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-length-self-float" tabindex="-1"><em><strong>def</strong></em> <code>length(self) -&gt; float</code> <a class="header-anchor" href="#def-length-self-float" aria-label="Permalink to &quot;***def*** \`length(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 向量的模。</p><p><strong>返回</strong>: 模</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L118" 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;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z])</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-length-self-float" tabindex="-1"><em><strong>def</strong></em> <code>length(self) -&gt; float</code> <a class="header-anchor" href="#def-length-self-float" aria-label="Permalink to &quot;***def*** \`length(self) -&gt; float\`&quot;">​</a></h4><p><strong>说明</strong>: 向量的模。</p><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>: 模</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L119" 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;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> length</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        向量的模。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            模</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`float\`](https%3A//docs.python.org/3/library/functions.html#float): 模</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.sqrt(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-unit-self-vector3" tabindex="-1"><em><strong>def</strong></em> <code>unit(self) -&gt; Vector3</code> <a class="header-anchor" href="#def-unit-self-vector3" aria-label="Permalink to &quot;***def*** \`unit(self) -&gt; Vector3\`&quot;">​</a></h4><p><strong>说明</strong>: 获取该向量的单位向量。</p><p><strong>返回</strong>: 单位向量</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L127" 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;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.sqrt(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-unit-self-vector3" tabindex="-1"><em><strong>def</strong></em> <code>unit(self) -&gt; Vector3</code> <a class="header-anchor" href="#def-unit-self-vector3" aria-label="Permalink to &quot;***def*** \`unit(self) -&gt; Vector3\`&quot;">​</a></h4><p><strong>说明</strong>: 获取该向量的单位向量。</p><p><strong>返回</strong>: <a href="#class-vector3"><code>Vector3</code></a>: 单位向量</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L128" 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;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> unit</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        获取该向量的单位向量。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            单位向量</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`Vector3\`](#class-vector3): 单位向量</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span></code></pre></div></details><h4 id="def-abs-self" tabindex="-1"><em><strong>def</strong></em> <code>__abs__(self)</code> <a class="header-anchor" href="#def-abs-self" aria-label="Permalink to &quot;***def*** \`__abs__(self)\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L135" 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;"> __abs__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span></code></pre></div></details><h4 id="def-abs-self" tabindex="-1"><em><strong>def</strong></em> <code>__abs__(self)</code> <a class="header-anchor" href="#def-abs-self" aria-label="Permalink to &quot;***def*** \`__abs__(self)\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L136" 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;"> __abs__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-vector3-vector3" tabindex="-1"><em><strong>def</strong></em> <code>self + other: Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-vector3-vector3" aria-label="Permalink to &quot;***def*** \`self + other: Vector3 =&gt; Vector3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L139" 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;">@overload</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-vector3-vector3" tabindex="-1"><em><strong>def</strong></em> <code>self + other: Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-vector3-vector3" aria-label="Permalink to &quot;***def*** \`self + other: Vector3 =&gt; Vector3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L140" 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;">@overload</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-point3-point3" tabindex="-1"><em><strong>def</strong></em> <code>self + other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#def-self-other-point3-point3" aria-label="Permalink to &quot;***def*** \`self + other: Point3 =&gt; Point3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L143" 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;">@overload</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-point3-point3" tabindex="-1"><em><strong>def</strong></em> <code>self + other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#def-self-other-point3-point3" aria-label="Permalink to &quot;***def*** \`self + other: Point3 =&gt; Point3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L144" 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;">@overload</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="def-self-other" tabindex="-1"><em><strong>def</strong></em> <code>self + other</code> <a class="header-anchor" href="#def-self-other" aria-label="Permalink to &quot;***def*** \`self + other\`&quot;">​</a></h4><p><strong>说明</strong>: V + P -&gt; P</p><p>V + V -&gt; V</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/vector.py#L146" 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;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="def-self-other" tabindex="-1"><em><strong>def</strong></em> <code>self + other</code> <a class="header-anchor" href="#def-self-other" aria-label="Permalink to &quot;***def*** \`self + other\`&quot;">​</a></h4><p><strong>说明</strong>: V + P -&gt; P</p><p>V + V -&gt; V</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>): 另一个向量或点</li></ul></blockquote><p><strong>返回</strong>: <a href="#class-vector3"><code>Vector3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>: 新的向量或点</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L147" 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;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        V + P -&gt; P</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        V + V -&gt; V</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Vector3\`](#class-vector3) | [\`Point3\`](./point#class-point3)): 另一个向量或点</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`Vector3\`](#class-vector3) | [\`Point3\`](./point#class-point3): 新的向量或点</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Vector3):</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Point3):</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for +: &#39;Vector3&#39; and &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-eq-self-other" tabindex="-1"><em><strong>def</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#def-eq-self-other" aria-label="Permalink to &quot;***def*** \`__eq__(self, other)\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个向量是否相等。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other:</li></ul></blockquote><p><strong>返回</strong>: 是否相等</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.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:#005CC5;--shiki-dark:#79B8FF;"> __eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for +: &#39;Vector3&#39; and &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-eq-self-other" tabindex="-1"><em><strong>def</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#def-eq-self-other" aria-label="Permalink to &quot;***def*** \`__eq__(self, other)\`&quot;">​</a></h4><p><strong>说明</strong>: 判断两个向量是否相等。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否相等</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L163" 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>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两个向量是否相等。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Vector3\`](#class-vector3)): 另一个向量</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            是否相等</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否相等</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, other.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, other.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z, other.z)</span></span></code></pre></div></details><h4 id="def-self-other-point3-point3-1" tabindex="-1"><em><strong>def</strong></em> <code>self + other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#def-self-other-point3-point3-1" aria-label="Permalink to &quot;***def*** \`self + other: Point3 =&gt; Point3\`&quot;">​</a></h4><p><strong>说明</strong>: P + V -&gt; P</p><p>别去点那边实现了。 :param other: :return:</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.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:#005CC5;--shiki-dark:#79B8FF;"> __radd__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, other.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, other.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z, other.z)</span></span></code></pre></div></details><h4 id="def-self-other-point3-point3-1" tabindex="-1"><em><strong>def</strong></em> <code>self + other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#def-self-other-point3-point3-1" aria-label="Permalink to &quot;***def*** \`self + other: Point3 =&gt; Point3\`&quot;">​</a></h4><p><strong>说明</strong>: P + V -&gt; P</p><p>别去点那边实现了。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./point.html#class-point3"><code>Point3</code></a>): 另一个点</li></ul></blockquote><p><strong>返回</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 新的点</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L173" 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;"> __radd__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        P + V -&gt; P</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        别去点那边实现了。</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        :param other:</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;">        :return:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Point3\`](./point#class-point3)): 另一个点</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`Point3\`](./point#class-point3): 新的点</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-vector3-vector3-1" tabindex="-1"><em><strong>def</strong></em> <code>self - other: Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-vector3-vector3-1" aria-label="Permalink to &quot;***def*** \`self - other: Vector3 =&gt; Vector3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L182" 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;">@overload</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-vector3-vector3-1" tabindex="-1"><em><strong>def</strong></em> <code>self - other: Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-vector3-vector3-1" aria-label="Permalink to &quot;***def*** \`self - other: Vector3 =&gt; Vector3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L185" 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;">@overload</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-point3-point3-2" tabindex="-1"><em><strong>def</strong></em> <code>self - other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#def-self-other-point3-point3-2" aria-label="Permalink to &quot;***def*** \`self - other: Point3 =&gt; Point3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L186" 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;">@overload</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-point3-point3-2" tabindex="-1"><em><strong>def</strong></em> <code>self - other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#def-self-other-point3-point3-2" aria-label="Permalink to &quot;***def*** \`self - other: Point3 =&gt; Point3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L189" 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;">@overload</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="def-self-other-1" tabindex="-1"><em><strong>def</strong></em> <code>self - other</code> <a class="header-anchor" href="#def-self-other-1" aria-label="Permalink to &quot;***def*** \`self - other\`&quot;">​</a></h4><p><strong>说明</strong>: V - P -&gt; P</p><p>V - V -&gt; V</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/vector.py#L189" 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;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="def-self-other-1" tabindex="-1"><em><strong>def</strong></em> <code>self - other</code> <a class="header-anchor" href="#def-self-other-1" aria-label="Permalink to &quot;***def*** \`self - other\`&quot;">​</a></h4><p><strong>说明</strong>: V - P -&gt; P</p><p>V - V -&gt; V</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>): 另一个向量或点</li></ul></blockquote><p><strong>返回</strong>: <a href="#class-vector3"><code>Vector3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>: 新的向量</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L192" 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;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        V - P -&gt; P</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        V - V -&gt; V</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Vector3\`](#class-vector3) | [\`Point3\`](./point#class-point3)): 另一个向量或点</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`Vector3\`](#class-vector3) | [\`Point3\`](./point#class-point3): 新的向量</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Vector3):</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Point3):</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;unsupported operand type(s) for -: &quot;Vector3&quot; and &quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-self-other-point3" tabindex="-1"><em><strong>def</strong></em> <code>self - other: Point3</code> <a class="header-anchor" href="#def-self-other-point3" aria-label="Permalink to &quot;***def*** \`self - other: Point3\`&quot;">​</a></h4><p><strong>说明</strong>: P - V -&gt; P</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/vector.py#L204" 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;"> __rsub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;unsupported operand type(s) for -: &quot;Vector3&quot; and &quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-self-other-point3" tabindex="-1"><em><strong>def</strong></em> <code>self - other: Point3</code> <a class="header-anchor" href="#def-self-other-point3" aria-label="Permalink to &quot;***def*** \`self - other: Point3\`&quot;">​</a></h4><p><strong>说明</strong>: P - V -&gt; P</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="./point.html#class-point3"><code>Point3</code></a>): 另一个点</li></ul></blockquote><p><strong>返回</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 新的点</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L208" 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;"> __rsub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        P - V -&gt; P</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Point3\`](./point#class-point3)): 另一个点</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`Point3\`](./point#class-point3): 新的点</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Point3):</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, other.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for -: &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39; and &#39;Vector3&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-vector3-vector3-2" tabindex="-1"><em><strong>def</strong></em> <code>self * other: Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-vector3-vector3-2" aria-label="Permalink to &quot;***def*** \`self * other: Vector3 =&gt; Vector3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L219" 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;">@overload</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for -: &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39; and &#39;Vector3&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-vector3-vector3-2" tabindex="-1"><em><strong>def</strong></em> <code>self * other: Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-vector3-vector3-2" aria-label="Permalink to &quot;***def*** \`self * other: Vector3 =&gt; Vector3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L223" 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;">@overload</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-realnumber-vector3" tabindex="-1"><em><strong>def</strong></em> <code>self * other: RealNumber =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-realnumber-vector3" aria-label="Permalink to &quot;***def*** \`self * other: RealNumber =&gt; Vector3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L223" 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;">@overload</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="def-self-other-realnumber-vector3" tabindex="-1"><em><strong>def</strong></em> <code>self * other: RealNumber =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-realnumber-vector3" aria-label="Permalink to &quot;***def*** \`self * other: RealNumber =&gt; Vector3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L227" 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;">@overload</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: RealNumber) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="def-self-other-int-float-vector3-vector3" tabindex="-1"><em><strong>def</strong></em> <code>self * other: int | float | Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-int-float-vector3-vector3" aria-label="Permalink to &quot;***def*** \`self * other: int | float | Vector3 =&gt; Vector3\`&quot;">​</a></h4><p><strong>说明</strong>: 数组运算 非点乘。点乘使用@，叉乘使用cross。</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/vector.py#L226" 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;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;int | float | Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="def-self-other-int-float-vector3-vector3" tabindex="-1"><em><strong>def</strong></em> <code>self * other: int | float | Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-int-float-vector3-vector3" aria-label="Permalink to &quot;***def*** \`self * other: int | float | Vector3 =&gt; Vector3\`&quot;">​</a></h4><p><strong>说明</strong>: 数组运算 非点乘。点乘使用@，叉乘使用cross。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a> | <a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 另一个向量或数</li></ul></blockquote><p><strong>返回</strong>: <a href="#class-vector"><code>Vector3</code></a>: 数组运算结果</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L230" 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;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;int | float | Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        数组运算 非点乘。点乘使用@，叉乘使用cross。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Vector3\`](#class-vector3) | [\`float\`](https%3A//docs.python.org/3/library/functions.html#float)): 另一个向量或数</span></span>
-<span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`Vector3\`](#class-vector): 数组运算结果</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Vector3):</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)):</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for *: &#39;Vector3&#39; and &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-self-other-realnumber-vector3-1" tabindex="-1"><em><strong>def</strong></em> <code>self * other: RealNumber =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-realnumber-vector3-1" aria-label="Permalink to &quot;***def*** \`self * other: RealNumber =&gt; Vector3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L242" 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;"> __rmul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;RealNumber&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for *: &#39;Vector3&#39; and &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="def-self-other-realnumber-vector3-1" tabindex="-1"><em><strong>def</strong></em> <code>self * other: RealNumber =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-realnumber-vector3-1" aria-label="Permalink to &quot;***def*** \`self * other: RealNumber =&gt; Vector3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L246" 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;"> __rmul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;RealNumber&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">__mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span></span></code></pre></div></details><h4 id="def-self-other-vector3-realnumber" tabindex="-1"><em><strong>def</strong></em> <code>self @ other: Vector3 =&gt; RealNumber</code> <a class="header-anchor" href="#def-self-other-vector3-realnumber" aria-label="Permalink to &quot;***def*** \`self @ other: Vector3 =&gt; RealNumber\`&quot;">​</a></h4><p><strong>说明</strong>: 点乘。</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/vector.py#L245" 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;"> __matmul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;RealNumber&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">__mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span></span></code></pre></div></details><h4 id="def-self-other-vector3-realnumber" tabindex="-1"><em><strong>def</strong></em> <code>self @ other: Vector3 =&gt; RealNumber</code> <a class="header-anchor" href="#def-self-other-vector3-realnumber" aria-label="Permalink to &quot;***def*** \`self @ other: Vector3 =&gt; RealNumber\`&quot;">​</a></h4><p><strong>说明</strong>: 点乘。</p><p><strong>参数</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>返回</strong>: <a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>: 点乘结果</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L249" 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;"> __matmul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;RealNumber&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        点乘。</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            other ([\`Vector3\`](#class-vector3)): 另一个向量</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`float\`](https%3A//docs.python.org/3/library/functions.html#float): 点乘结果</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z</span></span></code></pre></div></details><h4 id="def-self-other-realnumber-vector3-2" tabindex="-1"><em><strong>def</strong></em> <code>self / other: RealNumber =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-realnumber-vector3-2" aria-label="Permalink to &quot;***def*** \`self / other: RealNumber =&gt; Vector3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L254" 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;"> __truediv__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: RealNumber) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z</span></span></code></pre></div></details><h4 id="def-self-other-realnumber-vector3-2" tabindex="-1"><em><strong>def</strong></em> <code>self / other: RealNumber =&gt; Vector3</code> <a class="header-anchor" href="#def-self-other-realnumber-vector3-2" aria-label="Permalink to &quot;***def*** \`self / other: RealNumber =&gt; Vector3\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L259" 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;"> __truediv__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: RealNumber) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other)</span></span></code></pre></div></details><h4 id="def-self" tabindex="-1"><em><strong>def</strong></em> <code>- self</code> <a class="header-anchor" href="#def-self" aria-label="Permalink to &quot;***def*** \`- self\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L257" 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;"> __neg__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other)</span></span></code></pre></div></details><h4 id="def-self-vector3" tabindex="-1"><em><strong>def</strong></em> <code>- self =&gt; Vector3</code> <a class="header-anchor" href="#def-self-vector3" aria-label="Permalink to &quot;***def*** \`- self =&gt; Vector3\`&quot;">​</a></h4><p><strong>说明</strong>: 取负。</p><p><strong>返回</strong>: <a href="#class-vector3"><code>Vector3</code></a>: 负向量</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L262" 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;"> __neg__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z)</span></span></code></pre></div></details><h3 id="var-zero-vector3-vector3-0-0-0" tabindex="-1">var <code>zero_vector3</code> = <code>Vector3(0, 0, 0)</code> <a class="header-anchor" href="#var-zero-vector3-vector3-0-0-0" aria-label="Permalink to &quot;var \`zero_vector3\` = \`Vector3(0, 0, 0)\`&quot;">​</a></h3><ul><li><p><strong>类型</strong>: <code>Vector3</code></p></li><li><p><strong>说明</strong>: 零向量</p></li></ul><h3 id="var-x-axis-vector3-1-0-0" tabindex="-1">var <code>x_axis</code> = <code>Vector3(1, 0, 0)</code> <a class="header-anchor" href="#var-x-axis-vector3-1-0-0" aria-label="Permalink to &quot;var \`x_axis\` = \`Vector3(1, 0, 0)\`&quot;">​</a></h3><ul><li><p><strong>类型</strong>: <code>Vector3</code></p></li><li><p><strong>说明</strong>: x轴单位向量</p></li></ul><h3 id="var-y-axis-vector3-0-1-0" tabindex="-1">var <code>y_axis</code> = <code>Vector3(0, 1, 0)</code> <a class="header-anchor" href="#var-y-axis-vector3-0-1-0" aria-label="Permalink to &quot;var \`y_axis\` = \`Vector3(0, 1, 0)\`&quot;">​</a></h3><ul><li><p><strong>类型</strong>: <code>Vector3</code></p></li><li><p><strong>说明</strong>: y轴单位向量</p></li></ul><h3 id="var-z-axis-vector3-0-0-1" tabindex="-1">var <code>z_axis</code> = <code>Vector3(0, 0, 1)</code> <a class="header-anchor" href="#var-z-axis-vector3-0-0-1" aria-label="Permalink to &quot;var \`z_axis\` = \`Vector3(0, 0, 1)\`&quot;">​</a></h3><ul><li><p><strong>类型</strong>: <code>Vector3</code></p></li><li><p><strong>说明</strong>: z轴单位向量</p></li></ul>`,127),e=[h];function l(p,k,r,o,d,g){return a(),i("div",null,e)}const c=s(n,[["render",l]]);export{y as __pageData,c as default};
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        取负。</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`Vector3\`](#class-vector3): 负向量</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z)</span></span></code></pre></div></details><h3 id="var-zero-vector3" tabindex="-1">var <code>zero_vector3</code> <a class="header-anchor" href="#var-zero-vector3" aria-label="Permalink to &quot;var \`zero_vector3\`&quot;">​</a></h3><ul><li><p><strong>说明</strong>: 零向量</p></li><li><p><strong>类型</strong>: <code>Vector3</code></p></li><li><p><strong>默认值</strong>: <code>Vector3(0, 0, 0)</code></p></li></ul><h3 id="var-x-axis" tabindex="-1">var <code>x_axis</code> <a class="header-anchor" href="#var-x-axis" aria-label="Permalink to &quot;var \`x_axis\`&quot;">​</a></h3><ul><li><p><strong>说明</strong>: x轴单位向量</p></li><li><p><strong>类型</strong>: <code>Vector3</code></p></li><li><p><strong>默认值</strong>: <code>Vector3(1, 0, 0)</code></p></li></ul><h3 id="var-y-axis" tabindex="-1">var <code>y_axis</code> <a class="header-anchor" href="#var-y-axis" aria-label="Permalink to &quot;var \`y_axis\`&quot;">​</a></h3><ul><li><p><strong>说明</strong>: y轴单位向量</p></li><li><p><strong>类型</strong>: <code>Vector3</code></p></li><li><p><strong>默认值</strong>: <code>Vector3(0, 1, 0)</code></p></li></ul><h3 id="var-z-axis" tabindex="-1">var <code>z_axis</code> <a class="header-anchor" href="#var-z-axis" aria-label="Permalink to &quot;var \`z_axis\`&quot;">​</a></h3><ul><li><p><strong>说明</strong>: z轴单位向量</p></li><li><p><strong>类型</strong>: <code>Vector3</code></p></li><li><p><strong>默认值</strong>: <code>Vector3(0, 0, 1)</code></p></li></ul>`,138),l=[e];function h(p,k,r,o,d,g){return a(),i("div",null,l)}const y=s(n,[["render",h]]);export{E as __pageData,y as default};

assets/api_mp_math_vector.md.DvJcuPXW.lean.js

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+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/vector.md","filePath":"zh/api/mp_math/vector.md"}'),n={name:"api/mp_math/vector.md"},e=t("",138),l=[e];function h(p,k,r,o,d,g){return a(),i("div",null,l)}const y=s(n,[["render",h]]);export{E as __pageData,y as default};

assets/api_presets_index.md.C7sBj6Q8.js

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assets/api_presets_index.md.C7sBj6Q8.lean.js

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assets/api_presets_index.md.Cpcxmu7p.js

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assets/api_presets_index.md.Cpcxmu7p.lean.js

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assets/api_presets_model_index.md.F2zeh9P2.js

@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/model/model.md","filePath":"zh/api/presets/model/model.md"}'),t={name:"api/presets/model/model.md"},h=n(`<h1 id="mbcp-presets-model" tabindex="-1">mbcp.presets.model <a class="header-anchor" href="#mbcp-presets-model" aria-label="Permalink to &quot;mbcp.presets.model&quot;">​</a></h1><p><strong>说明</strong>: 几何模型点集</p><h3 id="class-geometricmodels" tabindex="-1"><em><strong>class</strong></em> <code>GeometricModels</code> <a class="header-anchor" href="#class-geometricmodels" aria-label="Permalink to &quot;***class*** \`GeometricModels\`&quot;">​</a></h3><p><code>@staticmethod</code></p><h4 id="def-sphere-radius-float-density-float" tabindex="-1"><em><strong>def</strong></em> <code>sphere(radius: float, density: float)</code> <a class="header-anchor" href="#def-sphere-radius-float-density-float" aria-label="Permalink to &quot;***def*** \`sphere(radius: float, density: float)\`&quot;">​</a></h4><p><strong>说明</strong>: 生成球体上的点集。</p><p><strong>参数</strong>:</p><blockquote><ul><li>radius:</li><li>density:</li></ul></blockquote><p><strong>返回</strong>: List[Point3]: 球体上的点集。</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/presets/model/__init__.py#L12" 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;">staticmethod</span></span>
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/model/index.md","filePath":"zh/api/presets/model/index.md"}'),t={name:"api/presets/model/index.md"},h=n(`<h1 id="mbcp-presets-model" tabindex="-1">mbcp.presets.model <a class="header-anchor" href="#mbcp-presets-model" aria-label="Permalink to &quot;mbcp.presets.model&quot;">​</a></h1><p><strong>说明</strong>: 几何模型点集</p><h3 id="class-geometricmodels" tabindex="-1"><em><strong>class</strong></em> <code>GeometricModels</code> <a class="header-anchor" href="#class-geometricmodels" aria-label="Permalink to &quot;***class*** \`GeometricModels\`&quot;">​</a></h3><p><a href="https://docs.python.org/3/library/functions.html#staticmethod" target="_blank" rel="noreferrer"><code>@staticmethod</code></a></p><h4 id="def-sphere-radius-float-density-float" tabindex="-1"><em><strong>def</strong></em> <code>sphere(radius: float, density: float)</code> <a class="header-anchor" href="#def-sphere-radius-float-density-float" aria-label="Permalink to &quot;***def*** \`sphere(radius: float, density: float)\`&quot;">​</a></h4><p><strong>说明</strong>: 生成球体上的点集。</p><p><strong>参数</strong>:</p><blockquote><ul><li>radius:</li><li>density:</li></ul></blockquote><p><strong>返回</strong>: List[Point3]: 球体上的点集。</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/presets/model/__init__.py#L12" 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;">staticmethod</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> sphere</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(radius: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, density: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        生成球体上的点集。</span></span>

assets/api_presets_model_index.md.F2zeh9P2.lean.js

@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/model/model.md","filePath":"zh/api/presets/model/model.md"}'),t={name:"api/presets/model/model.md"},h=n("",10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(t,[["render",p]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/model/index.md","filePath":"zh/api/presets/model/index.md"}'),t={name:"api/presets/model/index.md"},h=n("",10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(t,[["render",p]]);export{y as __pageData,c as default};

assets/api_presets_model_index.md.U7_aDIzq.lean.js

@@ -1 +0,0 @@
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assets/api_presets_model_model.md.BoocA59j.js

@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const o=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/model/index.md","filePath":"zh/api/presets/model/index.md"}'),t={name:"api/presets/model/index.md"},h=n(`<h1 id="mbcp-presets-model" tabindex="-1">mbcp.presets.model <a class="header-anchor" href="#mbcp-presets-model" aria-label="Permalink to &quot;mbcp.presets.model&quot;">​</a></h1><p><strong>说明</strong>: 几何模型点集</p><h3 id="class-geometricmodels" tabindex="-1"><em><strong>class</strong></em> <code>GeometricModels</code> <a class="header-anchor" href="#class-geometricmodels" aria-label="Permalink to &quot;***class*** \`GeometricModels\`&quot;">​</a></h3><p><code>@staticmethod</code></p><h4 id="def-sphere-radius-float-density-float" tabindex="-1"><em><strong>def</strong></em> <code>sphere(radius: float, density: float)</code> <a class="header-anchor" href="#def-sphere-radius-float-density-float" aria-label="Permalink to &quot;***def*** \`sphere(radius: float, density: float)\`&quot;">​</a></h4><p><strong>说明</strong>: 生成球体上的点集。</p><p><strong>参数</strong>:</p><blockquote><ul><li>radius:</li><li>density:</li></ul></blockquote><p><strong>返回</strong>: List[Point3]: 球体上的点集。</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/presets/model/__init__.py#L12" 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;">staticmethod</span></span>
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/model/model.md","filePath":"zh/api/presets/model/model.md"}'),n={name:"api/presets/model/model.md"},h=t(`<h1 id="mbcp-presets-model" tabindex="-1">mbcp.presets.model <a class="header-anchor" href="#mbcp-presets-model" aria-label="Permalink to &quot;mbcp.presets.model&quot;">​</a></h1><p><strong>说明</strong>: 几何模型点集</p><h3 id="class-geometricmodels" tabindex="-1"><em><strong>class</strong></em> <code>GeometricModels</code> <a class="header-anchor" href="#class-geometricmodels" aria-label="Permalink to &quot;***class*** \`GeometricModels\`&quot;">​</a></h3><p><a href="https://docs.python.org/3/library/functions.html#staticmethod" target="_blank" rel="noreferrer"><code>@staticmethod</code></a></p><h4 id="def-sphere-radius-float-density-float" tabindex="-1"><em><strong>def</strong></em> <code>sphere(radius: float, density: float)</code> <a class="header-anchor" href="#def-sphere-radius-float-density-float" aria-label="Permalink to &quot;***def*** \`sphere(radius: float, density: float)\`&quot;">​</a></h4><p><strong>说明</strong>: 生成球体上的点集。</p><p><strong>参数</strong>:</p><blockquote><ul><li>radius:</li><li>density:</li></ul></blockquote><p><strong>返回</strong>: List[Point3]: 球体上的点集。</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/presets/model/__init__.py#L12" 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;">staticmethod</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> sphere</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(radius: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, density: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        生成球体上的点集。</span></span>
@@ -15,4 +15,4 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const o
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    x_array </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> radius </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.sin(phi_list) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.cos(theta_list)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    y_array </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> radius </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.sin(phi_list) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.sin(theta_list)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    z_array </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> radius </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.cos(phi_list)</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_array[i], y_array[i], z_array[i]) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> range</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(num)]</span></span></code></pre></div></details>`,10),l=[h];function p(k,e,r,d,E,g){return a(),i("div",null,l)}const c=s(t,[["render",p]]);export{o as __pageData,c as default};
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [Point3(x_array[i], y_array[i], z_array[i]) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> range</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(num)]</span></span></code></pre></div></details>`,10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};

assets/api_presets_model_model.md.BoocA59j.lean.js

@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/model/model.md","filePath":"zh/api/presets/model/model.md"}'),n={name:"api/presets/model/model.md"},h=t("",10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};

assets/api_presets_presets.md.bRQ3mxuk.js

@@ -1 +0,0 @@
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assets/api_presets_presets.md.bRQ3mxuk.lean.js

@@ -1 +0,0 @@
-import{_ as s,c as r,o as a,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/presets.md","filePath":"zh/api/presets/presets.md"}'),o={name:"api/presets/presets.md"},p=e("h1",{id:"mbcp-presets",tabindex:"-1"},[t("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),i=e("p",null,[e("strong",null,"说明"),t(": Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved")],-1),l=e("p",null,[t("@Time : 2024/8/12 下午9:12 @Author : snowykami @Email : "),e("a",{href:"mailto:snowykami@outlook.com",target:"_blank",rel:"noreferrer"},"snowykami@outlook.com"),t(" @File : "),e("strong",null,"init"),t(".py @Software: PyCharm")],-1),n=[p,i,l];function c(m,d,_,h,u,f){return a(),r("div",null,n)}const y=s(o,[["render",c]]);export{b as __pageData,y as default};

assets/api_presets_presets.md.kIUJtfck.js

@@ -0,0 +1 @@
+import{_ as t,c as a,o as r,j as e,a as s}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/presets.md","filePath":"zh/api/presets/presets.md"}'),p={name:"api/presets/presets.md"},c=e("h1",{id:"mbcp-presets",tabindex:"-1"},[s("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),o=e("p",null,[e("strong",null,"说明"),s(": 本模块塞了一些预设")],-1),n=[c,o];function l(d,i,_,m,h,f){return r(),a("div",null,n)}const x=t(p,[["render",l]]);export{u as __pageData,x as default};

assets/api_presets_presets.md.kIUJtfck.lean.js

@@ -0,0 +1 @@
+import{_ as t,c as a,o as r,j as e,a as s}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/presets.md","filePath":"zh/api/presets/presets.md"}'),p={name:"api/presets/presets.md"},c=e("h1",{id:"mbcp-presets",tabindex:"-1"},[s("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),o=e("p",null,[e("strong",null,"说明"),s(": 本模块塞了一些预设")],-1),n=[c,o];function l(d,i,_,m,h,f){return r(),a("div",null,n)}const x=t(p,[["render",l]]);export{u as __pageData,x as default};

assets/app.Dm0AjMTk.js

@@ -1 +1 @@
-import{t as p}from"./chunks/theme.C6q8dLhO.js";import{U as o,a5 as u,a6 as c,a7 as l,a8 as f,a9 as d,aa as m,ab as h,ac as g,ad as A,ae as y,d as P,u as v,y as C,x as b,af as w,ag as E,ah as R,ai as S}from"./chunks/framework.DpC1ZpOZ.js";function i(e){if(e.extends){const a=i(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=i(p),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=v();return C(()=>{b(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&w(),E(),R(),s.setup&&s.setup(),()=>S(s.Layout)}});async function x(){globalThis.__VITEPRESS__=!0;const e=_(),a=D();a.provide(c,e);const t=l(e.route);return a.provide(f,t),a.component("Content",d),a.component("ClientOnly",m),Object.defineProperties(a.config.globalProperties,{$frontmatter:{get(){return t.frontmatter.value}},$params:{get(){return t.page.value.params}}}),s.enhanceApp&&await s.enhanceApp({app:a,router:e,siteData:h}),{app:a,router:e,data:t}}function D(){return g(T)}function _(){let e=o,a;return A(t=>{let n=y(t),r=null;return n&&(e&&(a=n),(e||a===n)&&(n=n.replace(/\.js$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&x().then(({app:e,router:a,data:t})=>{a.go().then(()=>{u(a.route,t.site),e.mount("#app")})});export{x as createApp};
+import{t as p}from"./chunks/theme.BI8DQ_2g.js";import{U as o,a5 as u,a6 as c,a7 as l,a8 as f,a9 as d,aa as m,ab as h,ac as g,ad as A,ae as y,d as P,u as v,y as C,x as b,af as w,ag as E,ah as R,ai as S}from"./chunks/framework.DpC1ZpOZ.js";function i(e){if(e.extends){const a=i(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=i(p),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=v();return C(()=>{b(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&w(),E(),R(),s.setup&&s.setup(),()=>S(s.Layout)}});async function x(){globalThis.__VITEPRESS__=!0;const e=_(),a=D();a.provide(c,e);const t=l(e.route);return a.provide(f,t),a.component("Content",d),a.component("ClientOnly",m),Object.defineProperties(a.config.globalProperties,{$frontmatter:{get(){return t.frontmatter.value}},$params:{get(){return t.page.value.params}}}),s.enhanceApp&&await s.enhanceApp({app:a,router:e,siteData:h}),{app:a,router:e,data:t}}function D(){return g(T)}function _(){let e=o,a;return A(t=>{let n=y(t),r=null;return n&&(e&&(a=n),(e||a===n)&&(n=n.replace(/\.js$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&x().then(({app:e,router:a,data:t})=>{a.go().then(()=>{u(a.route,t.site),e.mount("#app")})});export{x as createApp};

assets/en_api_api.md.B6IQ3Dv3.js

@@ -1 +0,0 @@
-import{_ as t,c as s,o as c,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/api.md","filePath":"en/api/api.md"}'),o={name:"en/api/api.md"},n=e("h1",{id:"mbcp",tabindex:"-1"},[a("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),p=e("p",null,[e("strong",null,"Description"),a(": 本模块塞了一些预设的粒子生成器")],-1),r=[n,p];function i(l,d,_,m,h,f){return c(),s("div",null,r)}const x=t(o,[["render",i]]);export{u as __pageData,x as default};

assets/en_api_api.md.B6IQ3Dv3.lean.js

@@ -1 +0,0 @@
-import{_ as t,c as s,o as c,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/api.md","filePath":"en/api/api.md"}'),o={name:"en/api/api.md"},n=e("h1",{id:"mbcp",tabindex:"-1"},[a("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),p=e("p",null,[e("strong",null,"Description"),a(": 本模块塞了一些预设的粒子生成器")],-1),r=[n,p];function i(l,d,_,m,h,f){return c(),s("div",null,r)}const x=t(o,[["render",i]]);export{u as __pageData,x as default};

assets/en_api_api.md.DFuvT6uG.js

@@ -0,0 +1 @@
+import{_ as t,c,o as p,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/api.md","filePath":"en/api/api.md"}'),s={name:"en/api/api.md"},o=e("h1",{id:"mbcp",tabindex:"-1"},[a("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),n=e("p",null,[e("strong",null,"Description"),a(": 本模块是主模块，提供了一些工具 可导入 "),e("code",null,"mbcp.mp_math"),a("：数学工具 "),e("code",null,"mbcp.particle"),a("：粒子生成工具 "),e("code",null,"mbcp.presets"),a("：预设")],-1),r=[o,n];function l(i,d,m,_,h,b){return p(),c("div",null,r)}const x=t(s,[["render",l]]);export{f as __pageData,x as default};

assets/en_api_api.md.DFuvT6uG.lean.js

@@ -0,0 +1 @@
+import{_ as t,c,o as p,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/api.md","filePath":"en/api/api.md"}'),s={name:"en/api/api.md"},o=e("h1",{id:"mbcp",tabindex:"-1"},[a("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),n=e("p",null,[e("strong",null,"Description"),a(": 本模块是主模块，提供了一些工具 可导入 "),e("code",null,"mbcp.mp_math"),a("：数学工具 "),e("code",null,"mbcp.particle"),a("：粒子生成工具 "),e("code",null,"mbcp.presets"),a("：预设")],-1),r=[o,n];function l(i,d,m,_,h,b){return p(),c("div",null,r)}const x=t(s,[["render",l]]);export{f as __pageData,x as default};

assets/en_api_index.md.29g4_ddH.js

@@ -0,0 +1 @@
+import{_ as a,c,o as n,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/index.md","filePath":"en/api/index.md"}'),s={name:"en/api/index.md"},o=e("h1",{id:"mbcp",tabindex:"-1"},[t("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),p=e("p",null,[e("strong",null,"Description"),t(": 本模块是主模块，提供了一些工具 可导入 "),e("code",null,"mbcp.mp_math"),t("：数学工具 "),e("code",null,"mbcp.particle"),t("：粒子生成工具 "),e("code",null,"mbcp.presets"),t("：预设")],-1),r=[o,p];function l(d,i,m,_,h,b){return n(),c("div",null,r)}const x=a(s,[["render",l]]);export{f as __pageData,x as default};

assets/en_api_index.md.29g4_ddH.lean.js

@@ -0,0 +1 @@
+import{_ as a,c,o as n,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/index.md","filePath":"en/api/index.md"}'),s={name:"en/api/index.md"},o=e("h1",{id:"mbcp",tabindex:"-1"},[t("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),p=e("p",null,[e("strong",null,"Description"),t(": 本模块是主模块，提供了一些工具 可导入 "),e("code",null,"mbcp.mp_math"),t("：数学工具 "),e("code",null,"mbcp.particle"),t("：粒子生成工具 "),e("code",null,"mbcp.presets"),t("：预设")],-1),r=[o,p];function l(d,i,m,_,h,b){return n(),c("div",null,r)}const x=a(s,[["render",l]]);export{f as __pageData,x as default};

assets/en_api_index.md.CnGebpFi.js

@@ -1 +0,0 @@
-import{_ as a,c as n,o as s,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/index.md","filePath":"en/api/index.md"}'),c={name:"en/api/index.md"},o=e("h1",{id:"mbcp",tabindex:"-1"},[t("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"Description"),t(": 本模块塞了一些预设的粒子生成器")],-1),i=[o,r];function d(p,l,_,m,h,f){return s(),n("div",null,i)}const u=a(c,[["render",d]]);export{b as __pageData,u as default};

assets/en_api_index.md.CnGebpFi.lean.js

@@ -1 +0,0 @@
-import{_ as a,c as n,o as s,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/index.md","filePath":"en/api/index.md"}'),c={name:"en/api/index.md"},o=e("h1",{id:"mbcp",tabindex:"-1"},[t("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"Description"),t(": 本模块塞了一些预设的粒子生成器")],-1),i=[o,r];function d(p,l,_,m,h,f){return s(),n("div",null,i)}const u=a(c,[["render",d]]);export{b as __pageData,u as default};

assets/en_api_mp_math_angle.md.09R7pxw_.js

@@ -8,77 +8,77 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> is_radian:</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> value</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:#005CC5;--shiki-dark:#79B8FF;">        self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> value </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 180</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-complementary-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>complementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-complementary-self-anyangle" aria-label="Permalink to &quot;***def*** \`complementary(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>Description</strong>: 余角：两角的和为90°。</p><p><strong>Return</strong>: 余角</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L30" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> value </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 180</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-complementary-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>complementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-complementary-self-anyangle" aria-label="Permalink to &quot;***def*** \`complementary(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>Description</strong>: 余角：两角的和为90°。</p><p><strong>Return</strong>: 余角</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L30" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#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;"> complementary</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        余角：两角的和为90°。</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;">            余角</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PI</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;">.minimum_positive.radian, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-supplementary-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>supplementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-supplementary-self-anyangle" aria-label="Permalink to &quot;***def*** \`supplementary(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>Description</strong>: 补角：两角的和为180°。</p><p><strong>Return</strong>: 补角</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L39" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PI</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;">.minimum_positive.radian, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-supplementary-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>supplementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-supplementary-self-anyangle" aria-label="Permalink to &quot;***def*** \`supplementary(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>Description</strong>: 补角：两角的和为180°。</p><p><strong>Return</strong>: 补角</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L39" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> supplementary</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        补角：两角的和为180°。</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;">            补角</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PI</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;">.minimum_positive.radian, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-degree-self-float" tabindex="-1"><em><strong>def</strong></em> <code>degree(self) -&gt; float</code> <a class="header-anchor" href="#def-degree-self-float" aria-label="Permalink to &quot;***def*** \`degree(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 角度。</p><p><strong>Return</strong>: 弧度</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L48" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PI</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;">.minimum_positive.radian, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-degree-self-float" tabindex="-1"><em><strong>def</strong></em> <code>degree(self) -&gt; float</code> <a class="header-anchor" href="#def-degree-self-float" aria-label="Permalink to &quot;***def*** \`degree(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 角度。</p><p><strong>Return</strong>: 弧度</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L48" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> degree</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        角度。</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;">            弧度</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 180</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-minimum-positive-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>minimum_positive(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-minimum-positive-self-anyangle" aria-label="Permalink to &quot;***def*** \`minimum_positive(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>Description</strong>: 最小正角。</p><p><strong>Return</strong>: 最小正角度</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L57" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 180</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-minimum-positive-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>minimum_positive(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-minimum-positive-self-anyangle" aria-label="Permalink to &quot;***def*** \`minimum_positive(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>Description</strong>: 最小正角。</p><p><strong>Return</strong>: 最小正角度</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L57" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> minimum_positive</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        最小正角。</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;">            最小正角度</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">%</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-maximum-negative-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>maximum_negative(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-maximum-negative-self-anyangle" aria-label="Permalink to &quot;***def*** \`maximum_negative(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>Description</strong>: 最大负角。</p><p><strong>Return</strong>: 最大负角度</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L66" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">%</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-maximum-negative-self-anyangle" tabindex="-1"><em><strong>def</strong></em> <code>maximum_negative(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#def-maximum-negative-self-anyangle" aria-label="Permalink to &quot;***def*** \`maximum_negative(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>Description</strong>: 最大负角。</p><p><strong>Return</strong>: 最大负角度</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L66" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> maximum_negative</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        最大负角。</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;">            最大负角度</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</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;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">%</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-sin-self-float" tabindex="-1"><em><strong>def</strong></em> <code>sin(self) -&gt; float</code> <a class="header-anchor" href="#def-sin-self-float" aria-label="Permalink to &quot;***def*** \`sin(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 正弦值。</p><p><strong>Return</strong>: 正弦值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L75" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</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;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">%</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> PI</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-sin-self-float" tabindex="-1"><em><strong>def</strong></em> <code>sin(self) -&gt; float</code> <a class="header-anchor" href="#def-sin-self-float" aria-label="Permalink to &quot;***def*** \`sin(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 正弦值。</p><p><strong>Return</strong>: 正弦值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L75" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> sin</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        正弦值。</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;">            正弦值</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.sin(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-cos-self-float" tabindex="-1"><em><strong>def</strong></em> <code>cos(self) -&gt; float</code> <a class="header-anchor" href="#def-cos-self-float" aria-label="Permalink to &quot;***def*** \`cos(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 余弦值。</p><p><strong>Return</strong>: 余弦值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L84" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.sin(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-cos-self-float" tabindex="-1"><em><strong>def</strong></em> <code>cos(self) -&gt; float</code> <a class="header-anchor" href="#def-cos-self-float" aria-label="Permalink to &quot;***def*** \`cos(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 余弦值。</p><p><strong>Return</strong>: 余弦值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L84" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cos</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        余弦值。</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;">            余弦值</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.cos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-tan-self-float" tabindex="-1"><em><strong>def</strong></em> <code>tan(self) -&gt; float</code> <a class="header-anchor" href="#def-tan-self-float" aria-label="Permalink to &quot;***def*** \`tan(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 正切值。</p><p><strong>Return</strong>: 正切值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L93" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.cos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-tan-self-float" tabindex="-1"><em><strong>def</strong></em> <code>tan(self) -&gt; float</code> <a class="header-anchor" href="#def-tan-self-float" aria-label="Permalink to &quot;***def*** \`tan(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 正切值。</p><p><strong>Return</strong>: 正切值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L93" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> tan</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        正切值。</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;">            正切值</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.tan(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-cot-self-float" tabindex="-1"><em><strong>def</strong></em> <code>cot(self) -&gt; float</code> <a class="header-anchor" href="#def-cot-self-float" aria-label="Permalink to &quot;***def*** \`cot(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 余切值。</p><p><strong>Return</strong>: 余切值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L102" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.tan(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-cot-self-float" tabindex="-1"><em><strong>def</strong></em> <code>cot(self) -&gt; float</code> <a class="header-anchor" href="#def-cot-self-float" aria-label="Permalink to &quot;***def*** \`cot(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 余切值。</p><p><strong>Return</strong>: 余切值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L102" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cot</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        余切值。</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;">            余切值</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.tan(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-sec-self-float" tabindex="-1"><em><strong>def</strong></em> <code>sec(self) -&gt; float</code> <a class="header-anchor" href="#def-sec-self-float" aria-label="Permalink to &quot;***def*** \`sec(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 正割值。</p><p><strong>Return</strong>: 正割值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L111" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.tan(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-sec-self-float" tabindex="-1"><em><strong>def</strong></em> <code>sec(self) -&gt; float</code> <a class="header-anchor" href="#def-sec-self-float" aria-label="Permalink to &quot;***def*** \`sec(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 正割值。</p><p><strong>Return</strong>: 正割值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L111" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> sec</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        正割值。</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;">            正割值</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.cos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><code>@property</code></p><h4 id="def-csc-self-float" tabindex="-1"><em><strong>def</strong></em> <code>csc(self) -&gt; float</code> <a class="header-anchor" href="#def-csc-self-float" aria-label="Permalink to &quot;***def*** \`csc(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 余割值。</p><p><strong>Return</strong>: 余割值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L120" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.cos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="def-csc-self-float" tabindex="-1"><em><strong>def</strong></em> <code>csc(self) -&gt; float</code> <a class="header-anchor" href="#def-csc-self-float" aria-label="Permalink to &quot;***def*** \`csc(self) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 余割值。</p><p><strong>Return</strong>: 余割值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L120" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> csc</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        余割值。</span></span>
@@ -96,4 +96,4 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="def-self-other" tabindex="-1"><em><strong>def</strong></em> <code>self / other</code> <a class="header-anchor" href="#def-self-other" aria-label="Permalink to &quot;***def*** \`self / other\`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L154" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __truediv__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</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, AnyAngle):</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;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.radian</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details>`,80),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default};
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details>`,80),l=[e];function h(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default};

assets/en_api_mp_math_angle.md.09R7pxw_.lean.js

@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/angle.md","filePath":"en/api/mp_math/angle.md"}'),t={name:"en/api/mp_math/angle.md"},e=n("",80),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/angle.md","filePath":"en/api/mp_math/angle.md"}'),t={name:"en/api/mp_math/angle.md"},e=n("",80),l=[e];function h(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default};

assets/en_api_mp_math_const.md.D5ug6tdd.js

@@ -1 +0,0 @@
-import{_ as a,c as t,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/const.md","filePath":"en/api/mp_math/const.md"}'),r={name:"en/api/mp_math/const.md"},i=o('<h1 id="mbcp-mp-math-const" tabindex="-1">mbcp.mp_math.const <a class="header-anchor" href="#mbcp-mp-math-const" aria-label="Permalink to &quot;mbcp.mp_math.const&quot;">​</a></h1><p><strong>Description</strong>: 本模块定义了一些常用的常量</p><h3 id="var-pi-math-pi" tabindex="-1">var <code>PI</code> = <code>math.pi</code> <a class="header-anchor" href="#var-pi-math-pi" aria-label="Permalink to &quot;var `PI` = `math.pi`&quot;">​</a></h3><ul><li><strong>Description</strong>: 常量 π</li></ul><h3 id="var-e-math-e" tabindex="-1">var <code>E</code> = <code>math.e</code> <a class="header-anchor" href="#var-e-math-e" aria-label="Permalink to &quot;var `E` = `math.e`&quot;">​</a></h3><ul><li><strong>Description</strong>: 自然对数的底 exp(1)</li></ul><h3 id="var-golden-ratio-1-math-sqrt-5-2" tabindex="-1">var <code>GOLDEN_RATIO</code> = <code>(1 + math.sqrt(5)) / 2</code> <a class="header-anchor" href="#var-golden-ratio-1-math-sqrt-5-2" aria-label="Permalink to &quot;var `GOLDEN_RATIO` = `(1 + math.sqrt(5)) / 2`&quot;">​</a></h3><ul><li><strong>Description</strong>: 黄金分割比</li></ul><h3 id="var-gamma-0-5772156649015329" tabindex="-1">var <code>GAMMA</code> = <code>0.5772156649015329</code> <a class="header-anchor" href="#var-gamma-0-5772156649015329" aria-label="Permalink to &quot;var `GAMMA` = `0.5772156649015329`&quot;">​</a></h3><ul><li><strong>Description</strong>: 欧拉常数</li></ul><h3 id="var-epsilon-0-0001" tabindex="-1">var <code>EPSILON</code> = <code>0.0001</code> <a class="header-anchor" href="#var-epsilon-0-0001" aria-label="Permalink to &quot;var `EPSILON` = `0.0001`&quot;">​</a></h3><ul><li><strong>Description</strong>: 精度误差</li></ul><h3 id="var-approx-0-001" tabindex="-1">var <code>APPROX</code> = <code>0.001</code> <a class="header-anchor" href="#var-approx-0-001" aria-label="Permalink to &quot;var `APPROX` = `0.001`&quot;">​</a></h3><ul><li><strong>Description</strong>: 约等于判定误差</li></ul>',14),c=[i];function n(s,l,d,h,m,p){return e(),t("div",null,c)}const v=a(r,[["render",n]]);export{u as __pageData,v as default};