Deploying to docs from @ snowykami/mbcp@a18ce7e770 🚀

assets/api_mp_math_angle.md.DRCLNUJL.lean.js

@@ -0,0 +1 @@
+import{_ as s,c as a,o as i,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const m=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"}'),e={name:"api/mp_math/angle.md"},n=t("",80),h=[n];function l(p,k,r,o,d,g){return i(),a("div",null,h)}const c=s(e,[["render",l]]);export{m as __pageData,c as default};

assets/api_mp_math_angle.md.DXjHPMcZ.js

@@ -1,99 +0,0 @@
-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="模块-mbcp-mp-math-angle" tabindex="-1"><strong>模块</strong> <code>mbcp.mp_math.angle</code> <a class="header-anchor" href="#模块-mbcp-mp-math-angle" aria-label="Permalink to &quot;**模块** \`mbcp.mp_math.angle\`&quot;">​</a></h1><p>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="method-init-self-value-float-is-radian-bool-false" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, value: float, is_radian: bool = False)</code> <a class="header-anchor" href="#method-init-self-value-float-is-radian-bool-false" aria-label="Permalink to &quot;***method*** \`__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>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            value: 角度或弧度值</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            is_radian: 是否为弧度，默认为否</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;"> 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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-complementary-self-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>complementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-complementary-self-anyangle" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-supplementary-self-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>supplementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-supplementary-self-anyangle" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-degree-self-float" tabindex="-1"><em><strong>method</strong></em> <code>degree(self) -&gt; float</code> <a class="header-anchor" href="#method-degree-self-float" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-minimum-positive-self-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>minimum_positive(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-minimum-positive-self-anyangle" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-maximum-negative-self-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>maximum_negative(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-maximum-negative-self-anyangle" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-sin-self-float" tabindex="-1"><em><strong>method</strong></em> <code>sin(self) -&gt; float</code> <a class="header-anchor" href="#method-sin-self-float" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-cos-self-float" tabindex="-1"><em><strong>method</strong></em> <code>cos(self) -&gt; float</code> <a class="header-anchor" href="#method-cos-self-float" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-tan-self-float" tabindex="-1"><em><strong>method</strong></em> <code>tan(self) -&gt; float</code> <a class="header-anchor" href="#method-tan-self-float" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-cot-self-float" tabindex="-1"><em><strong>method</strong></em> <code>cot(self) -&gt; float</code> <a class="header-anchor" href="#method-cot-self-float" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-sec-self-float" tabindex="-1"><em><strong>method</strong></em> <code>sec(self) -&gt; float</code> <a class="header-anchor" href="#method-sec-self-float" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-csc-self-float" tabindex="-1"><em><strong>method</strong></em> <code>csc(self) -&gt; float</code> <a class="header-anchor" href="#method-csc-self-float" aria-label="Permalink to &quot;***method*** \`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>
-<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.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><h4 id="method-self-other-anyangle-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>self + other: AnyAngle =&gt; AnyAngle</code> <a class="header-anchor" href="#method-self-other-anyangle-anyangle" aria-label="Permalink to &quot;***method*** \`self + other: AnyAngle =&gt; AnyAngle\`&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#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:#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;AnyAngle&#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:#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.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><h4 id="method-eq-self-other" tabindex="-1"><em><strong>method</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#method-eq-self-other" aria-label="Permalink to &quot;***method*** \`__eq__(self, other)\`&quot;">​</a></h4><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.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:#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;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian, other.radian)</span></span></code></pre></div></details><h4 id="method-self-other-anyangle-anyangle-1" tabindex="-1"><em><strong>method</strong></em> <code>self - other: AnyAngle =&gt; AnyAngle</code> <a class="header-anchor" href="#method-self-other-anyangle-anyangle-1" aria-label="Permalink to &quot;***method*** \`self - other: AnyAngle =&gt; AnyAngle\`&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#L134" 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;AnyAngle&#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:#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.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><h4 id="method-self-other-float-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>self * other: float =&gt; AnyAngle</code> <a class="header-anchor" href="#method-self-other-float-anyangle" aria-label="Permalink to &quot;***method*** \`self * other: float =&gt; AnyAngle\`&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#L137" 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:#005CC5;--shiki-dark:#79B8FF;">float</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:#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><p><code>@overload</code></p><h4 id="method-self-other-float-anyangle-1" tabindex="-1"><em><strong>method</strong></em> <code>self / other: float =&gt; AnyAngle</code> <a class="header-anchor" href="#method-self-other-float-anyangle-1" aria-label="Permalink to &quot;***method*** \`self / other: float =&gt; AnyAngle\`&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#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:#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;"> __truediv__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </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:#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:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-anyangle-float" tabindex="-1"><em><strong>method</strong></em> <code>self / other: AnyAngle =&gt; float</code> <a class="header-anchor" href="#method-self-other-anyangle-float" aria-label="Permalink to &quot;***method*** \`self / other: AnyAngle =&gt; float\`&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#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:#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;"> __truediv__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#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:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="method-self-other" tabindex="-1"><em><strong>method</strong></em> <code>self / other</code> <a class="header-anchor" href="#method-self-other" aria-label="Permalink to &quot;***method*** \`self / other\`&quot;">​</a></h4><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,o,d,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.DXjHPMcZ.lean.js

@@ -1 +0,0 @@
-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,o,d,g){return i(),a("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default};

assets/api_mp_math_equation.md.Q6tfqPV1.js

@@ -1,44 +1,14 @@
 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="模块-mbcp-mp-math-equation" tabindex="-1"><strong>模块</strong> <code>mbcp.mp_math.equation</code> <a class="header-anchor" href="#模块-mbcp-mp-math-equation" aria-label="Permalink to &quot;**模块** \`mbcp.mp_math.equation\`&quot;">​</a></h1><p>本模块定义了方程相关的类和函数以及一些常用的数学函数</p><h3 id="class-curveequation" tabindex="-1"><em><strong>class</strong></em> <code>CurveEquation</code> <a class="header-anchor" href="#class-curveequation" aria-label="Permalink to &quot;***class*** \`CurveEquation\`&quot;">​</a></h3><h4 id="method-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)</code> <a class="header-anchor" href="#method-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" aria-label="Permalink to &quot;***method*** \`__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)\`&quot;">​</a></h4><p><strong>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 ([\`OneVarFunc\`](./mp_math_typing#var-onevarfunc)): x函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            y_func ([\`OneVarFunc\`](./mp_math_typing#var-onevarfunc)): y函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            z_func ([\`OneVarFunc\`](./mp_math_typing#var-onevarfunc)): z函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x_func</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y_func</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> z_func</span></span></code></pre></div></details><h4 id="method-call-self-t-var-point3-tuple-point3" tabindex="-1"><em><strong>method</strong></em> <code>__call__(self, *t: Var) -&gt; Point3 | tuple[Point3, ...]</code> <a class="header-anchor" href="#method-call-self-t-var-point3-tuple-point3" aria-label="Permalink to &quot;***method*** \`__call__(self, *t: Var) -&gt; Point3 | tuple[Point3, ...]\`&quot;">​</a></h4><p><strong>说明</strong>: 计算曲线上的点。</p><p><strong>参数</strong>:</p><blockquote><ul><li>*t:</li><li>参数:</li></ul></blockquote><p><strong>返回</strong>: 目标点</p><details><summary><b>源代码</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L24" 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;"> __call__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">t: Var) -&gt; Point3 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> tuple[Point3, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        计算曲线上的点。</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            *t:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">                参数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            目标点</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> len</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(t) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]))</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([Point3(x, y, z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, y, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> zip</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func(t))])</span></span></code></pre></div></details><h3 id="func-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" tabindex="-1"><em><strong>func</strong></em> <code>get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -&gt; MultiVarsFunc</code> <a class="header-anchor" href="#func-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" aria-label="Permalink to &quot;***func*** \`get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -&gt; MultiVarsFunc\`&quot;">​</a></h3><p><strong>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 ([\`MultiVarsFunc\`](./mp_math_typing#var-multivarsfunc)): N元函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        var: 变量位置，可为整数(一阶偏导)或整数元组(高阶偏导)</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        epsilon: 偏移量</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        偏导函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Raises:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        ValueError: 无效变量类型</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(var, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> partial_derivative_func</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args: Var) -&gt; Var:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            &quot;&quot;&quot;@litedoc-hide&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            args_list_plus </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> list</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(args)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            args_list_plus[var] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            args_list_minus </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> list</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(args)</span></span>
@@ -48,18 +18,10 @@ 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;">    elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(var, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> high_order_partial_derivative_func</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args: Var) -&gt; Var:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            @litedoc-hide</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            求高阶偏导函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">                *args: 参数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">                高阶偏导数值</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            result_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> func</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> var:</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">                result_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> get_partial_derivative_func(result_func, v, epsilon)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> result_func(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> high_order_partial_derivative_func</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ValueError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Invalid var type&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details>`,23),p=[l];function h(e,k,r,E,d,c){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),h=[l];function p(e,k,r,E,d,c){return a(),i("div",null,h)}const o=s(t,[["render",p]]);export{u as __pageData,o as default};

assets/api_mp_math_equation.md.Q6tfqPV1.lean.js

@@ -1 +1 @@
-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("",23),p=[l];function h(e,k,r,E,d,c){return a(),i("div",null,p)}const F=s(t,[["render",h]]);export{u as __pageData,F as default};
+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("",23),h=[l];function p(e,k,r,E,d,c){return a(),i("div",null,h)}const o=s(t,[["render",p]]);export{u as __pageData,o as default};

assets/api_mp_math_function.md.CDW7K4aO.lean.js

@@ -0,0 +1 @@
+import{_ as n,c as s,j as t,a as Q,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const V=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/function.md","filePath":"zh/api/mp_math/function.md"}'),T={name:"api/mp_math/function.md"},e=a("",4),l={class:"tip custom-block github-alert"},h=t("p",{class:"custom-block-title"},"TIP",-1),r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},p=a("",1),o=[p],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("mi",null,"x"),t("mo",null,","),t("mi",null,"y"),t("mo",null,","),t("mi",null,"z"),t("mo",{stretchy:"false"},")")])],-1),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},c={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},g=a("",1),u=[g],y=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},f={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},_=a("",1),w=[_],x=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",{mathvariant:"normal"},"∇"),t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")"),t("mo",null,"="),t("mrow",{"data-mjx-texclass":"INNER"},[t("mo",{"data-mjx-texclass":"OPEN"},"("),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"x")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"y")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"z")])]),t("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),b=a("",13);function L(H,F,M,v,D,Z){return i(),s("div",null,[e,t("div",l,[h,t("p",null,[Q("已知一个函数"),t("mjx-container",r,[(i(),s("svg",d,o)),m]),Q("，则其在点"),t("mjx-container",k,[(i(),s("svg",c,u)),y]),Q("处的梯度向量为: "),t("mjx-container",E,[(i(),s("svg",f,w)),x])])]),b])}const A=n(T,[["render",L]]);export{V as __pageData,A as default};

assets/api_mp_math_function.md.D6Sk-jUO.lean.js

@@ -1 +0,0 @@
-import{_ as l,c as t,j as s,a as n,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Z=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/function.md","filePath":"zh/api/mp_math/function.md"}'),e={name:"api/mp_math/function.md"},Q=a("",4),T={class:"tip custom-block github-alert"},h=s("p",{class:"custom-block-title"},"TIP",-1),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},r={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},d=a("",1),o=[d],k=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",null,","),s("mi",null,"z"),s("mo",{stretchy:"false"},")")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a("",1),u=[c],y=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},F={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},f=a("",1),_=[f],C=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",{mathvariant:"normal"},"∇"),s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")"),s("mo",null,"="),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"x")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"y")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"z")])]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),w=a("",13);function x(b,L,H,M,B,v){return i(),t("div",null,[Q,s("div",T,[h,s("p",null,[n("已知一个函数"),s("mjx-container",p,[(i(),t("svg",r,o)),k]),n("，则其在点"),s("mjx-container",m,[(i(),t("svg",g,u)),y]),n("处的梯度向量为: "),s("mjx-container",E,[(i(),t("svg",F,_)),C])])]),w])}const V=l(e,[["render",x]]);export{Z as __pageData,V as default};

assets/api_mp_math_line.md.K-HhIsvU.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.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 h(p,k,o,r,d,g){return a(),i("div",null,e)}const E=s(t,[["render",h]]);export{F as __pageData,E as default};

assets/api_mp_math_line.md.Ld9EytA4.js

@@ -1,38 +1,8 @@
-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="模块-mbcp-mp-math-line" tabindex="-1"><strong>模块</strong> <code>mbcp.mp_math.line</code> <a class="header-anchor" href="#模块-mbcp-mp-math-line" aria-label="Permalink to &quot;**模块** \`mbcp.mp_math.line\`&quot;">​</a></h1><p>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="method-init-self-point-point3-direction-vector3" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, point: Point3, direction: Vector3)</code> <a class="header-anchor" href="#method-init-self-point-point3-direction-vector3" aria-label="Permalink to &quot;***method*** \`__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>
+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.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/line.md","filePath":"zh/api/mp_math/line.md"}'),n={name:"api/mp_math/line.md"},e=t(`<h1 id="模块-mbcp-mp-math-line" tabindex="-1"><strong>模块</strong> <code>mbcp.mp_math.line</code> <a class="header-anchor" href="#模块-mbcp-mp-math-line" aria-label="Permalink to &quot;**模块** \`mbcp.mp_math.line\`&quot;">​</a></h1><p>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="method-init-self-point-point3-direction-vector3" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, point: Point3, direction: Vector3)</code> <a class="header-anchor" href="#method-init-self-point-point3-direction-vector3" aria-label="Permalink to &quot;***method*** \`__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 ([\`Point3\`](./point#class-point3)): 直线上的一点</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="method-approx-self-other-line3-epsilon-float-approx-bool" tabindex="-1"><em><strong>method</strong></em> <code>approx(self, other: Line3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#method-approx-self-other-line3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***method*** \`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 ([\`Line3\`](./line#class-line3)): 另一条直线</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;">            [\`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="method-cal-angle-self-other-line3-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>cal_angle(self, other: Line3) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-cal-angle-self-other-line3-anyangle" aria-label="Permalink to &quot;***method*** \`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 ([\`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;">            [\`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:#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="method-cal-distance-self-other-line3-point3-float" tabindex="-1"><em><strong>method</strong></em> <code>cal_distance(self, other: Line3 | Point3) -&gt; float</code> <a class="header-anchor" href="#method-cal-distance-self-other-line3-point3-float" aria-label="Permalink to &quot;***method*** \`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 ([\`Line3\`](./line#class-line3) | [\`Point3\`](./point#class-point3)): 另一条直线或点</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;">            [\`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\`](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>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
@@ -46,91 +16,19 @@ 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;">        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="method-cal-intersection-self-other-line3-point3" tabindex="-1"><em><strong>method</strong></em> <code>cal_intersection(self, other: Line3) -&gt; Point3</code> <a class="header-anchor" href="#method-cal-intersection-self-other-line3-point3" aria-label="Permalink to &quot;***method*** \`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 ([\`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;">            [\`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\`](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;">        &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="method-cal-perpendicular-self-point-point3-line3" tabindex="-1"><em><strong>method</strong></em> <code>cal_perpendicular(self, point: Point3) -&gt; Line3</code> <a class="header-anchor" href="#method-cal-perpendicular-self-point-point3-line3" aria-label="Permalink to &quot;***method*** \`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 ([\`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;">            [\`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="method-get-point-self-t-realnumber-point3" tabindex="-1"><em><strong>method</strong></em> <code>get_point(self, t: RealNumber) -&gt; Point3</code> <a class="header-anchor" href="#method-get-point-self-t-realnumber-point3" aria-label="Permalink to &quot;***method*** \`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 ([\`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;">            [\`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="method-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" tabindex="-1"><em><strong>method</strong></em> <code>get_parametric_equations(self) -&gt; tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]</code> <a class="header-anchor" href="#method-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" aria-label="Permalink to &quot;***method*** \`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;">            [\`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="method-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -&gt; bool</code> <a class="header-anchor" href="#method-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" aria-label="Permalink to &quot;***method*** \`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 ([\`Line3\`](./line#class-line3)): 另一条直线</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            epsilon ([\`float\`](https%3A//docs.python.org/3/library/functions.html#float)): 误差</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否近似平行</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.is_approx_parallel(other.direction, epsilon)</span></span></code></pre></div></details><h4 id="method-is-parallel-self-other-line3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_parallel(self, other: Line3) -&gt; bool</code> <a class="header-anchor" href="#method-is-parallel-self-other-line3-bool" aria-label="Permalink to &quot;***method*** \`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 ([\`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;">            [\`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="method-is-collinear-self-other-line3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_collinear(self, other: Line3) -&gt; bool</code> <a class="header-anchor" href="#method-is-collinear-self-other-line3-bool" aria-label="Permalink to &quot;***method*** \`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 ([\`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;">            [\`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="method-is-point-on-self-point-point3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_point_on(self, point: Point3) -&gt; bool</code> <a class="header-anchor" href="#method-is-point-on-self-point-point3-bool" aria-label="Permalink to &quot;***method*** \`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 ([\`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;">            [\`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="method-is-coplanar-self-other-line3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_coplanar(self, other: Line3) -&gt; bool</code> <a class="header-anchor" href="#method-is-coplanar-self-other-line3-bool" aria-label="Permalink to &quot;***method*** \`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 ([\`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;">            [\`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="method-simplify-self" tabindex="-1"><em><strong>method</strong></em> <code>simplify(self)</code> <a class="header-anchor" href="#method-simplify-self" aria-label="Permalink to &quot;***method*** \`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>
-<span class="line"></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        按照可行性一次对x y z 化 0 处理，并对向量单位化</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &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;">.direction.normalize()</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
@@ -139,36 +37,12 @@ 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;"> 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><a href="https://docs.python.org/3/library/functions.html#classmethod" target="_blank" rel="noreferrer"><code>@classmethod</code></a></p><h4 id="method-from-two-points-cls-p1-point3-p2-point3-line3" tabindex="-1"><em><strong>method</strong></em> <code>from_two_points(cls, p1: Point3, p2: Point3) -&gt; Line3</code> <a class="header-anchor" href="#method-from-two-points-cls-p1-point3-p2-point3-line3" aria-label="Permalink to &quot;***method*** \`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 ([\`Point3\`](./point#class-point3)): 点1</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;">            [\`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="method-and-self-other-line3-line3-point3-none" tabindex="-1"><em><strong>method</strong></em> <code>__and__(self, other: Line3) -&gt; Line3 | Point3 | None</code> <a class="header-anchor" href="#method-and-self-other-line3-line3-point3-none" aria-label="Permalink to &quot;***method*** \`__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 ([\`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;">            [\`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="method-eq-self-other-bool" tabindex="-1"><em><strong>method</strong></em> <code>__eq__(self, other) -&gt; bool</code> <a class="header-anchor" href="#method-eq-self-other-bool" aria-label="Permalink to &quot;***method*** \`__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:#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),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};
-<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 ([\`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;">            [\`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>`,106),e=[l];function h(p,k,o,r,d,g){return a(),i("div",null,e)}const E=s(t,[["render",h]]);export{F as __pageData,E as default};

assets/api_mp_math_line.md.Ld9EytA4.lean.js

@@ -0,0 +1 @@
+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.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/line.md","filePath":"zh/api/mp_math/line.md"}'),n={name:"api/mp_math/line.md"},e=t("",106),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_point.md.C4s5FhwG.lean.js

@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const c=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"}'),e={name:"api/mp_math/point.md"},h=t("",39),n=[h];function l(p,o,k,r,d,g){return a(),i("div",null,n)}const y=s(e,[["render",l]]);export{c as __pageData,y as default};

assets/api_mp_math_point.md.NLp_Sg9U.js

@@ -1,52 +0,0 @@
-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"},h=t(`<h1 id="模块-mbcp-mp-math-point" tabindex="-1"><strong>模块</strong> <code>mbcp.mp_math.point</code> <a class="header-anchor" href="#模块-mbcp-mp-math-point" aria-label="Permalink to &quot;**模块** \`mbcp.mp_math.point\`&quot;">​</a></h1><p>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="method-init-self-x-float-y-float-z-float" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, x: float, y: float, z: float)</code> <a class="header-anchor" href="#method-init-self-x-float-y-float-z-float" aria-label="Permalink to &quot;***method*** \`__init__(self, x: float, y: float, z: float)\`&quot;">​</a></h4><p><strong>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 ([\`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 (\`float\`): y 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="method-approx-self-other-point3-epsilon-float-approx-bool" tabindex="-1"><em><strong>method</strong></em> <code>approx(self, other: Point3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#method-approx-self-other-point3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***method*** \`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 ([\`Point3\`](./point#class-point3)): 另一个点</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;">            [\`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="method-self-other-vector3-point3" tabindex="-1"><em><strong>method</strong></em> <code>self + other: Vector3 =&gt; Point3</code> <a class="header-anchor" href="#method-self-other-vector3-point3" aria-label="Permalink to &quot;***method*** \`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="method-self-other-point3-point3" tabindex="-1"><em><strong>method</strong></em> <code>self + other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#method-self-other-point3-point3" aria-label="Permalink to &quot;***method*** \`self + other: Point3 =&gt; Point3\`&quot;">​</a></h4><details><summary><b>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="method-self-other" tabindex="-1"><em><strong>method</strong></em> <code>self + other</code> <a class="header-anchor" href="#method-self-other" aria-label="Permalink to &quot;***method*** \`self + other\`&quot;">​</a></h4><p><strong>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 ([\`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="method-eq-self-other" tabindex="-1"><em><strong>method</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#method-eq-self-other" aria-label="Permalink to &quot;***method*** \`__eq__(self, other)\`&quot;">​</a></h4><p><strong>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 ([\`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="method-self-other-point3-vector3" tabindex="-1"><em><strong>method</strong></em> <code>self - other: Point3 =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-point3-vector3" aria-label="Permalink to &quot;***method*** \`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 [\`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 ([\`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;">            [\`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>`,39),l=[h];function e(p,o,k,r,d,g){return a(),i("div",null,l)}const y=s(n,[["render",e]]);export{E as __pageData,y as default};

assets/api_mp_math_point.md.NLp_Sg9U.lean.js

@@ -1 +0,0 @@
-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"},h=t("",39),l=[h];function e(p,o,k,r,d,g){return a(),i("div",null,l)}const y=s(n,[["render",e]]);export{E as __pageData,y as default};

assets/api_mp_math_segment.md.C2PEP6H5.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.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,o,E){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.JYVgLepk.js

@@ -1,10 +1,4 @@
-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="模块-mbcp-mp-math-segment" tabindex="-1"><strong>模块</strong> <code>mbcp.mp_math.segment</code> <a class="header-anchor" href="#模块-mbcp-mp-math-segment" aria-label="Permalink to &quot;**模块** \`mbcp.mp_math.segment\`&quot;">​</a></h1><p>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="method-init-self-p1-point3-p2-point3" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, p1: Point3, p2: Point3)</code> <a class="header-anchor" href="#method-init-self-p1-point3-p2-point3" aria-label="Permalink to &quot;***method*** \`__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>
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const m=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"}'),n={name:"api/mp_math/segment.md"},h=t(`<h1 id="模块-mbcp-mp-math-segment" tabindex="-1"><strong>模块</strong> <code>mbcp.mp_math.segment</code> <a class="header-anchor" href="#模块-mbcp-mp-math-segment" aria-label="Permalink to &quot;**模块** \`mbcp.mp_math.segment\`&quot;">​</a></h1><p>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="method-init-self-p1-point3-p2-point3" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, p1: Point3, p2: Point3)</code> <a class="header-anchor" href="#method-init-self-p1-point3-p2-point3" aria-label="Permalink to &quot;***method*** \`__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;">        Args:</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>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &#39;方向向量&#39;</span></span>
@@ -12,4 +6,4 @@ 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:#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>`,8),h=[p];function l(e,k,r,d,o,E){return a(),i("div",null,h)}const c=s(t,[["render",l]]);export{F as __pageData,c 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),p=[h];function e(l,k,r,d,E,g){return a(),i("div",null,p)}const c=s(n,[["render",e]]);export{m as __pageData,c as default};

assets/api_mp_math_segment.md.JYVgLepk.lean.js

@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const m=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"}'),n={name:"api/mp_math/segment.md"},h=t("",8),p=[h];function e(l,k,r,d,E,g){return a(),i("div",null,p)}const c=s(n,[["render",e]]);export{m as __pageData,c as default};

assets/api_mp_math_utils.md.DuXZd_EC.js

@@ -1,20 +1,5 @@
-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="模块-mbcp-mp-math-utils" tabindex="-1"><strong>模块</strong> <code>mbcp.mp_math.utils</code> <a class="header-anchor" href="#模块-mbcp-mp-math-utils" aria-label="Permalink to &quot;**模块** \`mbcp.mp_math.utils\`&quot;">​</a></h1><p>本模块定义了一些常用的工具函数</p><h3 id="func-clamp-x-float-min-float-max-float-float" tabindex="-1"><em><strong>func</strong></em> <code>clamp(x: float, min_: float, max_: float) -&gt; float</code> <a class="header-anchor" href="#func-clamp-x-float-min-float-max-float-float" aria-label="Permalink to &quot;***func*** \`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>
+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.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/utils.md","filePath":"zh/api/mp_math/utils.md"}'),l={name:"api/mp_math/utils.md"},n=t(`<h1 id="模块-mbcp-mp-math-utils" tabindex="-1"><strong>模块</strong> <code>mbcp.mp_math.utils</code> <a class="header-anchor" href="#模块-mbcp-mp-math-utils" aria-label="Permalink to &quot;**模块** \`mbcp.mp_math.utils\`&quot;">​</a></h1><p>本模块定义了一些常用的工具函数</p><h3 id="func-clamp-x-float-min-float-max-float-float" tabindex="-1"><em><strong>func</strong></em> <code>clamp(x: float, min_: float, max_: float) -&gt; float</code> <a class="header-anchor" href="#func-clamp-x-float-min-float-max-float-float" aria-label="Permalink to &quot;***func*** \`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 ([\`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_ (\`float\`): 最小值</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;">        \`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="method-init-self-value-realnumber" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, value: RealNumber)</code> <a class="header-anchor" href="#method-init-self-value-realnumber" aria-label="Permalink to &quot;***method*** \`__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:#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="method-eq-self-other" tabindex="-1"><em><strong>method</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#method-eq-self-other" aria-label="Permalink to &quot;***method*** \`__eq__(self, other)\`&quot;">​</a></h4><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>
@@ -28,42 +13,16 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F
 <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="method-raise-type-error-self-other" tabindex="-1"><em><strong>method</strong></em> <code>raise_type_error(self, other)</code> <a class="header-anchor" href="#method-raise-type-error-self-other" aria-label="Permalink to &quot;***method*** \`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="method-ne-self-other" tabindex="-1"><em><strong>method</strong></em> <code>__ne__(self, other)</code> <a class="header-anchor" href="#method-ne-self-other" aria-label="Permalink to &quot;***method*** \`__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="func-approx-x-float-y-float-0-0-epsilon-float-approx-bool" tabindex="-1"><em><strong>func</strong></em> <code>approx(x: float, y: float = 0.0, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#func-approx-x-float-y-float-0-0-epsilon-float-approx-bool" aria-label="Permalink to &quot;***func*** \`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 ([\`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 (\`float\`): 数2</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;">        [\`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="func-sign-x-float-only-neg-bool-false-str" tabindex="-1"><em><strong>func</strong></em> <code>sign(x: float, only_neg: bool = False) -&gt; str</code> <a class="header-anchor" href="#func-sign-x-float-only-neg-bool-false-str" aria-label="Permalink to &quot;***func*** \`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 ([\`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 ([\`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;">        [\`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="func-sign-format-x-float-only-neg-bool-false-str" tabindex="-1"><em><strong>func</strong></em> <code>sign_format(x: float, only_neg: bool = False) -&gt; str</code> <a class="header-anchor" href="#func-sign-format-x-float-only-neg-bool-false-str" aria-label="Permalink to &quot;***func*** \`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 ([\`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 ([\`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;">        [\`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>`,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};
+<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=[n];function e(p,k,r,o,d,g){return a(),i("div",null,h)}const c=s(l,[["render",e]]);export{E as __pageData,c as default};

assets/api_mp_math_utils.md.DuXZd_EC.lean.js

@@ -0,0 +1 @@
+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.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/utils.md","filePath":"zh/api/mp_math/utils.md"}'),l={name:"api/mp_math/utils.md"},n=t("",38),h=[n];function e(p,k,r,o,d,g){return a(),i("div",null,h)}const c=s(l,[["render",e]]);export{E as __pageData,c as default};

assets/api_mp_math_utils.md.QB0hGGMg.lean.js

@@ -1 +0,0 @@
-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("",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_presets_model_index.md.DTQNHoYw.js

@@ -1,13 +1,5 @@
-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/index.md","filePath":"zh/api/presets/model/index.md"}'),n={name:"api/presets/model/index.md"},h=t(`<h1 id="模块-mbcp-presets-model" tabindex="-1"><strong>模块</strong> <code>mbcp.presets.model</code> <a class="header-anchor" href="#模块-mbcp-presets-model" aria-label="Permalink to &quot;**模块** \`mbcp.presets.model\`&quot;">​</a></h1><p>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="method-sphere-radius-float-density-float" tabindex="-1"><em><strong>method</strong></em> <code>sphere(radius: float, density: float)</code> <a class="header-anchor" href="#method-sphere-radius-float-density-float" aria-label="Permalink to &quot;***method*** \`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/index.md","filePath":"zh/api/presets/model/index.md"}'),h={name:"api/presets/model/index.md"},n=t(`<h1 id="模块-mbcp-presets-model" tabindex="-1"><strong>模块</strong> <code>mbcp.presets.model</code> <a class="header-anchor" href="#模块-mbcp-presets-model" aria-label="Permalink to &quot;**模块** \`mbcp.presets.model\`&quot;">​</a></h1><p>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="method-sphere-radius-float-density-float" tabindex="-1"><em><strong>method</strong></em> <code>sphere(radius: float, density: float)</code> <a class="header-anchor" href="#method-sphere-radius-float-density-float" aria-label="Permalink to &quot;***method*** \`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>
-<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;">            radius:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            density:</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;">            List[Point3]: 球体上的点集。</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:#24292E;--shiki-dark:#E1E4E8;">    area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 4</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.pi </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:#005CC5;--shiki-dark:#79B8FF;"> 2</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    num </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> density)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    phi_list </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.arccos([clamp(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</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;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2.0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</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;"> 1.0</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;"> num, </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 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;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _ </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>
@@ -15,4 +7,4 @@ 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;">    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(e,k,r,d,E,o){return a(),i("div",null,l)}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;"> [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=[n];function e(p,k,r,d,E,o){return a(),i("div",null,l)}const c=s(h,[["render",e]]);export{y as __pageData,c as default};

assets/api_presets_model_index.md.DTQNHoYw.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.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"}'),n={name:"api/presets/model/index.md"},h=t("",10),l=[h];function p(e,k,r,d,E,o){return a(),i("div",null,l)}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 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"}'),h={name:"api/presets/model/index.md"},n=t("",10),l=[n];function e(p,k,r,d,E,o){return a(),i("div",null,l)}const c=s(h,[["render",e]]);export{y as __pageData,c as default};

assets/app.BUlGQzcU.js

@@ -1 +1 @@
-import{t as p}from"./chunks/theme.Uf1cjNk7.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$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&x().then(({app:e,router:a,data:t})=>{a.go().then(()=>{u(a.route,t.site),e.mount("#app")})});export{x as createApp};
+import{t as p}from"./chunks/theme.4Aq0plHp.js";import{U as o,a5 as u,a6 as c,a7 as l,a8 as f,a9 as d,aa as m,ab as h,ac as g,ad as A,ae as y,d as P,u as v,y as C,x as b,af as w,ag as E,ah as R,ai as S}from"./chunks/framework.DpC1ZpOZ.js";function i(e){if(e.extends){const a=i(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=i(p),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=v();return C(()=>{b(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&w(),E(),R(),s.setup&&s.setup(),()=>S(s.Layout)}});async function x(){globalThis.__VITEPRESS__=!0;const e=_(),a=D();a.provide(c,e);const t=l(e.route);return a.provide(f,t),a.component("Content",d),a.component("ClientOnly",m),Object.defineProperties(a.config.globalProperties,{$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_mp_math_angle.md.B5tdtBiM.js

@@ -1,99 +0,0 @@
-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(`<h1 id="module-mbcp-mp-math-angle" tabindex="-1"><strong>Module</strong> <code>mbcp.mp_math.angle</code> <a class="header-anchor" href="#module-mbcp-mp-math-angle" aria-label="Permalink to &quot;**Module** \`mbcp.mp_math.angle\`&quot;">​</a></h1><p>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="method-init-self-value-float-is-radian-bool-false" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, value: float, is_radian: bool = False)</code> <a class="header-anchor" href="#method-init-self-value-float-is-radian-bool-false" aria-label="Permalink to &quot;***method*** \`__init__(self, value: float, is_radian: bool = False)\`&quot;">​</a></h4><p><strong>Description</strong>: 任意角度。</p><p><strong>Arguments</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L17" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, 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>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            value: 角度或弧度值</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            is_radian: 是否为弧度，默认为否</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;"> 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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-complementary-self-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>complementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-complementary-self-anyangle" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-supplementary-self-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>supplementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-supplementary-self-anyangle" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-degree-self-float" tabindex="-1"><em><strong>method</strong></em> <code>degree(self) -&gt; float</code> <a class="header-anchor" href="#method-degree-self-float" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-minimum-positive-self-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>minimum_positive(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-minimum-positive-self-anyangle" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-maximum-negative-self-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>maximum_negative(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-maximum-negative-self-anyangle" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-sin-self-float" tabindex="-1"><em><strong>method</strong></em> <code>sin(self) -&gt; float</code> <a class="header-anchor" href="#method-sin-self-float" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-cos-self-float" tabindex="-1"><em><strong>method</strong></em> <code>cos(self) -&gt; float</code> <a class="header-anchor" href="#method-cos-self-float" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-tan-self-float" tabindex="-1"><em><strong>method</strong></em> <code>tan(self) -&gt; float</code> <a class="header-anchor" href="#method-tan-self-float" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-cot-self-float" tabindex="-1"><em><strong>method</strong></em> <code>cot(self) -&gt; float</code> <a class="header-anchor" href="#method-cot-self-float" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-sec-self-float" tabindex="-1"><em><strong>method</strong></em> <code>sec(self) -&gt; float</code> <a class="header-anchor" href="#method-sec-self-float" aria-label="Permalink to &quot;***method*** \`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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-csc-self-float" tabindex="-1"><em><strong>method</strong></em> <code>csc(self) -&gt; float</code> <a class="header-anchor" href="#method-csc-self-float" aria-label="Permalink to &quot;***method*** \`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>
-<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.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><h4 id="method-self-other-anyangle-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>self + other: AnyAngle =&gt; AnyAngle</code> <a class="header-anchor" href="#method-self-other-anyangle-anyangle" aria-label="Permalink to &quot;***method*** \`self + other: AnyAngle =&gt; AnyAngle\`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L128" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#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;AnyAngle&#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:#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.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><h4 id="method-eq-self-other" tabindex="-1"><em><strong>method</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#method-eq-self-other" aria-label="Permalink to &quot;***method*** \`__eq__(self, other)\`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L131" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
-<span class="line"><span style="--shiki-light:#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;">.radian, other.radian)</span></span></code></pre></div></details><h4 id="method-self-other-anyangle-anyangle-1" tabindex="-1"><em><strong>method</strong></em> <code>self - other: AnyAngle =&gt; AnyAngle</code> <a class="header-anchor" href="#method-self-other-anyangle-anyangle-1" aria-label="Permalink to &quot;***method*** \`self - other: AnyAngle =&gt; AnyAngle\`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L134" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#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:#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.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><h4 id="method-self-other-float-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>self * other: float =&gt; AnyAngle</code> <a class="header-anchor" href="#method-self-other-float-anyangle" aria-label="Permalink to &quot;***method*** \`self * other: float =&gt; AnyAngle\`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L137" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</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:#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><p><code>@overload</code></p><h4 id="method-self-other-float-anyangle-1" tabindex="-1"><em><strong>method</strong></em> <code>self / other: float =&gt; AnyAngle</code> <a class="header-anchor" href="#method-self-other-float-anyangle-1" aria-label="Permalink to &quot;***method*** \`self / other: float =&gt; AnyAngle\`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L147" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#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;"> __truediv__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </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:#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:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-anyangle-float" tabindex="-1"><em><strong>method</strong></em> <code>self / other: AnyAngle =&gt; float</code> <a class="header-anchor" href="#method-self-other-anyangle-float" aria-label="Permalink to &quot;***method*** \`self / other: AnyAngle =&gt; float\`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L151" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __truediv__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#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:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="method-self-other" tabindex="-1"><em><strong>method</strong></em> <code>self / other</code> <a class="header-anchor" href="#method-self-other" aria-label="Permalink to &quot;***method*** \`self / other\`&quot;">​</a></h4><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,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.B5tdtBiM.lean.js

@@ -1 +0,0 @@
-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_angle.md.Bd_SmddI.lean.js

@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a4 as t}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"}'),e={name:"en/api/mp_math/angle.md"},n=t("",80),h=[n];function l(p,r,k,o,d,g){return a(),i("div",null,h)}const m=s(e,[["render",l]]);export{c as __pageData,m as default};

assets/en_api_mp_math_equation.md.B0ThTNcD.js

@@ -1,44 +1,14 @@
 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":"en/api/mp_math/equation.md","filePath":"en/api/mp_math/equation.md"}'),t={name:"en/api/mp_math/equation.md"},l=n(`<h1 id="module-mbcp-mp-math-equation" tabindex="-1"><strong>Module</strong> <code>mbcp.mp_math.equation</code> <a class="header-anchor" href="#module-mbcp-mp-math-equation" aria-label="Permalink to &quot;**Module** \`mbcp.mp_math.equation\`&quot;">​</a></h1><p>本模块定义了方程相关的类和函数以及一些常用的数学函数</p><h3 id="class-curveequation" tabindex="-1"><em><strong>class</strong></em> <code>CurveEquation</code> <a class="header-anchor" href="#class-curveequation" aria-label="Permalink to &quot;***class*** \`CurveEquation\`&quot;">​</a></h3><h4 id="method-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)</code> <a class="header-anchor" href="#method-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" aria-label="Permalink to &quot;***method*** \`__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)\`&quot;">​</a></h4><p><strong>Description</strong>: 曲线方程。</p><p><strong>Arguments</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L12" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        曲线方程。</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            x_func ([\`OneVarFunc\`](./mp_math_typing#var-onevarfunc)): x函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            y_func ([\`OneVarFunc\`](./mp_math_typing#var-onevarfunc)): y函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            z_func ([\`OneVarFunc\`](./mp_math_typing#var-onevarfunc)): z函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x_func</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y_func</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> z_func</span></span></code></pre></div></details><h4 id="method-call-self-t-var-point3-tuple-point3" tabindex="-1"><em><strong>method</strong></em> <code>__call__(self, *t: Var) -&gt; Point3 | tuple[Point3, ...]</code> <a class="header-anchor" href="#method-call-self-t-var-point3-tuple-point3" aria-label="Permalink to &quot;***method*** \`__call__(self, *t: Var) -&gt; Point3 | tuple[Point3, ...]\`&quot;">​</a></h4><p><strong>Description</strong>: 计算曲线上的点。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>*t:</li><li>参数:</li></ul></blockquote><p><strong>Return</strong>: 目标点</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L24" 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;"> __call__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">t: Var) -&gt; Point3 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> tuple[Point3, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        计算曲线上的点。</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            *t:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">                参数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            目标点</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> len</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(t) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]))</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([Point3(x, y, z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, y, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> zip</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func(t))])</span></span></code></pre></div></details><h3 id="func-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" tabindex="-1"><em><strong>func</strong></em> <code>get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -&gt; MultiVarsFunc</code> <a class="header-anchor" href="#func-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" aria-label="Permalink to &quot;***func*** \`get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -&gt; MultiVarsFunc\`&quot;">​</a></h3><p><strong>Description</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>Arguments</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>Return</strong>: 偏导函数</p><p><strong>Raises</strong>:</p><blockquote><ul><li>ValueError 无效变量类型</li></ul></blockquote><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L42" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> get_partial_derivative_func</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(func: MultiVarsFunc, var: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> |</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> tuple[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], epsilon: Number</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">EPSILON</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; MultiVarsFunc:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    求N元函数一阶偏导函数。这玩意不太稳定，慎用。</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &gt; [!warning]</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &gt; 目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升</span></span>
-<span class="line"></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        func ([\`MultiVarsFunc\`](./mp_math_typing#var-multivarsfunc)): N元函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        var: 变量位置，可为整数(一阶偏导)或整数元组(高阶偏导)</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        epsilon: 偏移量</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        偏导函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Raises:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        ValueError: 无效变量类型</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(var, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> partial_derivative_func</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args: Var) -&gt; Var:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            &quot;&quot;&quot;@litedoc-hide&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            args_list_plus </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> list</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(args)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            args_list_plus[var] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            args_list_minus </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> list</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(args)</span></span>
@@ -48,18 +18,10 @@ 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;">    elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(var, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> high_order_partial_derivative_func</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args: Var) -&gt; Var:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            @litedoc-hide</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            求高阶偏导函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">                *args: 参数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">                高阶偏导数值</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            result_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> func</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> var:</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">                result_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> get_partial_derivative_func(result_func, v, epsilon)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> result_func(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> high_order_partial_derivative_func</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ValueError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Invalid var type&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details>`,23),p=[l];function h(e,k,r,E,d,c){return a(),i("div",null,p)}const o=s(t,[["render",h]]);export{u as __pageData,o 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),h=[l];function e(p,k,r,E,d,c){return a(),i("div",null,h)}const o=s(t,[["render",e]]);export{u as __pageData,o as default};

assets/en_api_mp_math_equation.md.B0ThTNcD.lean.js

@@ -1 +1 @@
-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":"en/api/mp_math/equation.md","filePath":"en/api/mp_math/equation.md"}'),t={name:"en/api/mp_math/equation.md"},l=n("",23),p=[l];function h(e,k,r,E,d,c){return a(),i("div",null,p)}const o=s(t,[["render",h]]);export{u as __pageData,o as default};
+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":"en/api/mp_math/equation.md","filePath":"en/api/mp_math/equation.md"}'),t={name:"en/api/mp_math/equation.md"},l=n("",23),h=[l];function e(p,k,r,E,d,c){return a(),i("div",null,h)}const o=s(t,[["render",e]]);export{u as __pageData,o as default};

assets/en_api_mp_math_function.md.BT0NB_1n.lean.js

@@ -1 +0,0 @@
-import{_ as l,c as t,j as s,a as n,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const V=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/function.md","filePath":"en/api/mp_math/function.md"}'),e={name:"en/api/mp_math/function.md"},Q=a("",4),T={class:"tip custom-block github-alert"},h=s("p",{class:"custom-block-title"},"TIP",-1),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},r={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},d=a("",1),o=[d],k=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",null,","),s("mi",null,"z"),s("mo",{stretchy:"false"},")")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a("",1),u=[c],y=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},F={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},f=a("",1),_=[f],C=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",{mathvariant:"normal"},"∇"),s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")"),s("mo",null,"="),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"x")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"y")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"z")])]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),w=a("",13);function x(b,L,H,M,B,v){return i(),t("div",null,[Q,s("div",T,[h,s("p",null,[n("已知一个函数"),s("mjx-container",p,[(i(),t("svg",r,o)),k]),n("，则其在点"),s("mjx-container",m,[(i(),t("svg",g,u)),y]),n("处的梯度向量为: "),s("mjx-container",E,[(i(),t("svg",F,_)),C])])]),w])}const Z=l(e,[["render",x]]);export{V as __pageData,Z as default};

assets/en_api_mp_math_function.md.l19FY4Hu.lean.js

@@ -0,0 +1 @@
+import{_ as n,c as s,j as t,a as Q,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const V=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/function.md","filePath":"en/api/mp_math/function.md"}'),T={name:"en/api/mp_math/function.md"},e=a("",4),l={class:"tip custom-block github-alert"},h=t("p",{class:"custom-block-title"},"TIP",-1),r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},o=a("",1),p=[o],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("mi",null,"x"),t("mo",null,","),t("mi",null,"y"),t("mo",null,","),t("mi",null,"z"),t("mo",{stretchy:"false"},")")])],-1),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},c={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},g=a("",1),u=[g],y=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},f={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},_=a("",1),w=[_],x=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",{mathvariant:"normal"},"∇"),t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")"),t("mo",null,"="),t("mrow",{"data-mjx-texclass":"INNER"},[t("mo",{"data-mjx-texclass":"OPEN"},"("),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"x")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"y")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"z")])]),t("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),b=a("",13);function L(H,M,F,v,D,Z){return i(),s("div",null,[e,t("div",l,[h,t("p",null,[Q("已知一个函数"),t("mjx-container",r,[(i(),s("svg",d,p)),m]),Q("，则其在点"),t("mjx-container",k,[(i(),s("svg",c,u)),y]),Q("处的梯度向量为: "),t("mjx-container",E,[(i(),s("svg",f,w)),x])])]),b])}const A=n(T,[["render",L]]);export{V as __pageData,A as default};

assets/en_api_mp_math_line.md.0bBpZMyn.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.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/line.md","filePath":"en/api/mp_math/line.md"}'),t={name:"en/api/mp_math/line.md"},l=n("",106),e=[l];function h(p,k,o,r,d,g){return a(),i("div",null,e)}const E=s(t,[["render",h]]);export{F as __pageData,E as default};

assets/en_api_mp_math_line.md.Bd5Z3iC3.js

@@ -1,38 +1,8 @@
-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":"en/api/mp_math/line.md","filePath":"en/api/mp_math/line.md"}'),t={name:"en/api/mp_math/line.md"},l=n(`<h1 id="module-mbcp-mp-math-line" tabindex="-1"><strong>Module</strong> <code>mbcp.mp_math.line</code> <a class="header-anchor" href="#module-mbcp-mp-math-line" aria-label="Permalink to &quot;**Module** \`mbcp.mp_math.line\`&quot;">​</a></h1><p>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="method-init-self-point-point3-direction-vector3" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, point: Point3, direction: Vector3)</code> <a class="header-anchor" href="#method-init-self-point-point3-direction-vector3" aria-label="Permalink to &quot;***method*** \`__init__(self, point: Point3, direction: Vector3)\`&quot;">​</a></h4><p><strong>Description</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>Arguments</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L19" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, 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 t}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":"en/api/mp_math/line.md","filePath":"en/api/mp_math/line.md"}'),e={name:"en/api/mp_math/line.md"},n=t(`<h1 id="module-mbcp-mp-math-line" tabindex="-1"><strong>Module</strong> <code>mbcp.mp_math.line</code> <a class="header-anchor" href="#module-mbcp-mp-math-line" aria-label="Permalink to &quot;**Module** \`mbcp.mp_math.line\`&quot;">​</a></h1><p>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="method-init-self-point-point3-direction-vector3" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, point: Point3, direction: Vector3)</code> <a class="header-anchor" href="#method-init-self-point-point3-direction-vector3" aria-label="Permalink to &quot;***method*** \`__init__(self, point: Point3, direction: Vector3)\`&quot;">​</a></h4><p><strong>Description</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>Arguments</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L19" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, 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 ([\`Point3\`](./point#class-point3)): 直线上的一点</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="method-approx-self-other-line3-epsilon-float-approx-bool" tabindex="-1"><em><strong>method</strong></em> <code>approx(self, other: Line3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#method-approx-self-other-line3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***method*** \`approx(self, other: Line3, epsilon: float = APPROX) -&gt; bool\`&quot;">​</a></h4><p><strong>Description</strong>: 判断两条直线是否近似相等。</p><p><strong>Arguments</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>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似相等</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L29" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> approx</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;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 ([\`Line3\`](./line#class-line3)): 另一条直线</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;">            [\`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="method-cal-angle-self-other-line3-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>cal_angle(self, other: Line3) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-cal-angle-self-other-line3-anyangle" aria-label="Permalink to &quot;***method*** \`cal_angle(self, other: Line3) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>Description</strong>: 计算直线和直线之间的夹角。</p><p><strong>Arguments</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>Return</strong>: <a href="./angle.html#class-anyangle"><code>AnyAngle</code></a>: 夹角</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L40" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_angle</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;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 ([\`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;">            [\`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:#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="method-cal-distance-self-other-line3-point3-float" tabindex="-1"><em><strong>method</strong></em> <code>cal_distance(self, other: Line3 | Point3) -&gt; float</code> <a class="header-anchor" href="#method-cal-distance-self-other-line3-point3-float" aria-label="Permalink to &quot;***method*** \`cal_distance(self, other: Line3 | Point3) -&gt; float\`&quot;">​</a></h4><p><strong>Description</strong>: 计算直线和直线或点之间的距离。</p><p><strong>Arguments</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>Return</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>Raises</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L50" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_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 ([\`Line3\`](./line#class-line3) | [\`Point3\`](./point#class-point3)): 另一条直线或点</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;">            [\`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\`](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>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
@@ -46,91 +16,19 @@ 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;">        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="method-cal-intersection-self-other-line3-point3" tabindex="-1"><em><strong>method</strong></em> <code>cal_intersection(self, other: Line3) -&gt; Point3</code> <a class="header-anchor" href="#method-cal-intersection-self-other-line3-point3" aria-label="Permalink to &quot;***method*** \`cal_intersection(self, other: Line3) -&gt; Point3\`&quot;">​</a></h4><p><strong>Description</strong>: 计算两条直线的交点。</p><p><strong>Arguments</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>Return</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 交点</p><p><strong>Raises</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L80" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_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 ([\`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;">            [\`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\`](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;">        &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="method-cal-perpendicular-self-point-point3-line3" tabindex="-1"><em><strong>method</strong></em> <code>cal_perpendicular(self, point: Point3) -&gt; Line3</code> <a class="header-anchor" href="#method-cal-perpendicular-self-point-point3-line3" aria-label="Permalink to &quot;***method*** \`cal_perpendicular(self, point: Point3) -&gt; Line3\`&quot;">​</a></h4><p><strong>Description</strong>: 计算直线经过指定点p的垂线。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>point (<a href="./point.html#class-point3"><code>Point3</code></a>): 指定点</li></ul></blockquote><p><strong>Return</strong>: <a href="./line.html#class-line3"><code>Line3</code></a>: 垂线</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L98" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_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 ([\`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;">            [\`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="method-get-point-self-t-realnumber-point3" tabindex="-1"><em><strong>method</strong></em> <code>get_point(self, t: RealNumber) -&gt; Point3</code> <a class="header-anchor" href="#method-get-point-self-t-realnumber-point3" aria-label="Permalink to &quot;***method*** \`get_point(self, t: RealNumber) -&gt; Point3\`&quot;">​</a></h4><p><strong>Description</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>Arguments</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>Return</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 点</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L108" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> 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 ([\`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;">            [\`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="method-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" tabindex="-1"><em><strong>method</strong></em> <code>get_parametric_equations(self) -&gt; tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]</code> <a class="header-anchor" href="#method-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" aria-label="Permalink to &quot;***method*** \`get_parametric_equations(self) -&gt; tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]\`&quot;">​</a></h4><p><strong>Description</strong>: 获取直线的参数方程。</p><p><strong>Return</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L118" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> 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;">            [\`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="method-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -&gt; bool</code> <a class="header-anchor" href="#method-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" aria-label="Permalink to &quot;***method*** \`is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -&gt; bool\`&quot;">​</a></h4><p><strong>Description</strong>: 判断两条直线是否近似平行。</p><p><strong>Arguments</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>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似平行</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L128" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#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 ([\`Line3\`](./line#class-line3)): 另一条直线</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            epsilon ([\`float\`](https%3A//docs.python.org/3/library/functions.html#float)): 误差</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否近似平行</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.is_approx_parallel(other.direction, epsilon)</span></span></code></pre></div></details><h4 id="method-is-parallel-self-other-line3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_parallel(self, other: Line3) -&gt; bool</code> <a class="header-anchor" href="#method-is-parallel-self-other-line3-bool" aria-label="Permalink to &quot;***method*** \`is_parallel(self, other: Line3) -&gt; bool\`&quot;">​</a></h4><p><strong>Description</strong>: 判断两条直线是否平行。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否平行</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L139" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_parallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;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 ([\`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;">            [\`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="method-is-collinear-self-other-line3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_collinear(self, other: Line3) -&gt; bool</code> <a class="header-anchor" href="#method-is-collinear-self-other-line3-bool" aria-label="Permalink to &quot;***method*** \`is_collinear(self, other: Line3) -&gt; bool\`&quot;">​</a></h4><p><strong>Description</strong>: 判断两条直线是否共线。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否共线</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L149" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_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 ([\`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;">            [\`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="method-is-point-on-self-point-point3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_point_on(self, point: Point3) -&gt; bool</code> <a class="header-anchor" href="#method-is-point-on-self-point-point3-bool" aria-label="Permalink to &quot;***method*** \`is_point_on(self, point: Point3) -&gt; bool\`&quot;">​</a></h4><p><strong>Description</strong>: 判断点是否在直线上。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>point (<a href="./point.html#class-point3"><code>Point3</code></a>): 点</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否在直线上</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L159" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_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 ([\`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;">            [\`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="method-is-coplanar-self-other-line3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_coplanar(self, other: Line3) -&gt; bool</code> <a class="header-anchor" href="#method-is-coplanar-self-other-line3-bool" aria-label="Permalink to &quot;***method*** \`is_coplanar(self, other: Line3) -&gt; bool\`&quot;">​</a></h4><p><strong>Description</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>Arguments</strong>:</p><blockquote><ul><li>other (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否共面</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L169" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_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 ([\`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;">            [\`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="method-simplify-self" tabindex="-1"><em><strong>method</strong></em> <code>simplify(self)</code> <a class="header-anchor" href="#method-simplify-self" aria-label="Permalink to &quot;***method*** \`simplify(self)\`&quot;">​</a></h4><p><strong>Description</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L180" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> 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>
-<span class="line"></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        按照可行性一次对x y z 化 0 处理，并对向量单位化</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &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;">.direction.normalize()</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
@@ -139,36 +37,12 @@ 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;"> 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><a href="https://docs.python.org/3/library/functions.html#classmethod" target="_blank" rel="noreferrer"><code>@classmethod</code></a></p><h4 id="method-from-two-points-cls-p1-point3-p2-point3-line3" tabindex="-1"><em><strong>method</strong></em> <code>from_two_points(cls, p1: Point3, p2: Point3) -&gt; Line3</code> <a class="header-anchor" href="#method-from-two-points-cls-p1-point3-p2-point3-line3" aria-label="Permalink to &quot;***method*** \`from_two_points(cls, p1: Point3, p2: Point3) -&gt; Line3\`&quot;">​</a></h4><p><strong>Description</strong>: 工厂函数 由两点构造直线。</p><p><strong>Arguments</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>Return</strong>: <a href="./line.html#class-line3"><code>Line3</code></a>: 直线</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L199" 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;">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 ([\`Point3\`](./point#class-point3)): 点1</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;">            [\`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="method-and-self-other-line3-line3-point3-none" tabindex="-1"><em><strong>method</strong></em> <code>__and__(self, other: Line3) -&gt; Line3 | Point3 | None</code> <a class="header-anchor" href="#method-and-self-other-line3-line3-point3-none" aria-label="Permalink to &quot;***method*** \`__and__(self, other: Line3) -&gt; Line3 | Point3 | None\`&quot;">​</a></h4><p><strong>Description</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>Arguments</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>Return</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L211" 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;"> __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 ([\`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;">            [\`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="method-eq-self-other-bool" tabindex="-1"><em><strong>method</strong></em> <code>__eq__(self, other) -&gt; bool</code> <a class="header-anchor" href="#method-eq-self-other-bool" aria-label="Permalink to &quot;***method*** \`__eq__(self, other) -&gt; bool\`&quot;">​</a></h4><p><strong>Description</strong>: 判断两条直线是否等价。</p><p>v1 // v2 ∧ (p1 - p2) // v1</p><p><strong>Arguments</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>Return</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L226" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other) -&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:#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),l=[n];function h(p,o,r,k,d,g){return a(),i("div",null,l)}const y=s(e,[["render",h]]);export{E as __pageData,y as default};
-<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 ([\`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;">            [\`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>`,106),e=[l];function h(p,k,o,r,d,g){return a(),i("div",null,e)}const E=s(t,[["render",h]]);export{F as __pageData,E as default};

assets/en_api_mp_math_line.md.Bd5Z3iC3.lean.js

@@ -0,0 +1 @@
+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.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/line.md","filePath":"en/api/mp_math/line.md"}'),e={name:"en/api/mp_math/line.md"},n=t("",106),l=[n];function h(p,o,r,k,d,g){return a(),i("div",null,l)}const y=s(e,[["render",h]]);export{E as __pageData,y as default};

assets/en_api_mp_math_point.md.Ba_i7dDC.js

@@ -1,52 +0,0 @@
-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":"en/api/mp_math/point.md","filePath":"en/api/mp_math/point.md"}'),n={name:"en/api/mp_math/point.md"},e=t(`<h1 id="module-mbcp-mp-math-point" tabindex="-1"><strong>Module</strong> <code>mbcp.mp_math.point</code> <a class="header-anchor" href="#module-mbcp-mp-math-point" aria-label="Permalink to &quot;**Module** \`mbcp.mp_math.point\`&quot;">​</a></h1><p>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="method-init-self-x-float-y-float-z-float" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, x: float, y: float, z: float)</code> <a class="header-anchor" href="#method-init-self-x-float-y-float-z-float" aria-label="Permalink to &quot;***method*** \`__init__(self, x: float, y: float, z: float)\`&quot;">​</a></h4><p><strong>Description</strong>: 笛卡尔坐标系中的点。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>x (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): x 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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L15" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, y: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, z: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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 ([\`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 (\`float\`): y 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="method-approx-self-other-point3-epsilon-float-approx-bool" tabindex="-1"><em><strong>method</strong></em> <code>approx(self, other: Point3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#method-approx-self-other-point3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***method*** \`approx(self, other: Point3, epsilon: float = APPROX) -&gt; bool\`&quot;">​</a></h4><p><strong>Description</strong>: 判断两个点是否近似相等。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="./point.html#class-point3"><code>Point3</code></a>): 另一个点</li><li>epsilon (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 误差</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似相等</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L27" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> approx</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;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 ([\`Point3\`](./point#class-point3)): 另一个点</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;">            [\`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="method-self-other-vector3-point3" tabindex="-1"><em><strong>method</strong></em> <code>self + other: Vector3 =&gt; Point3</code> <a class="header-anchor" href="#method-self-other-vector3-point3" aria-label="Permalink to &quot;***method*** \`self + other: Vector3 =&gt; Point3\`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L47" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;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="method-self-other-point3-point3" tabindex="-1"><em><strong>method</strong></em> <code>self + other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#method-self-other-point3-point3" aria-label="Permalink to &quot;***method*** \`self + other: Point3 =&gt; Point3\`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L51" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="method-self-other" tabindex="-1"><em><strong>method</strong></em> <code>self + other</code> <a class="header-anchor" href="#method-self-other" aria-label="Permalink to &quot;***method*** \`self + other\`&quot;">​</a></h4><p><strong>Description</strong>: P + V -&gt; P P + P -&gt; P</p><p><strong>Arguments</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>Return</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 新的点</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L54" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        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 ([\`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="method-eq-self-other" tabindex="-1"><em><strong>method</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#method-eq-self-other" aria-label="Permalink to &quot;***method*** \`__eq__(self, other)\`&quot;">​</a></h4><p><strong>Description</strong>: 判断两个点是否相等。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="./point.html#class-point3"><code>Point3</code></a>): 另一个点</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否相等</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L65" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        判断两个点是否相等。</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 ([\`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="method-self-other-point3-vector3" tabindex="-1"><em><strong>method</strong></em> <code>self - other: Point3 =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-point3-vector3" aria-label="Permalink to &quot;***method*** \`self - other: Point3 =&gt; Vector3\`&quot;">​</a></h4><p><strong>Description</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>Arguments</strong>:</p><blockquote><ul><li>other (<a href="./point.html#class-point3"><code>Point3</code></a>): 另一个点</li></ul></blockquote><p><strong>Return</strong>: <a href="./vector.html#class-vector3"><code>Vector3</code></a>: 新的向量</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.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:#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 [\`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 ([\`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;">            [\`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>`,39),l=[e];function h(p,o,k,r,d,c){return a(),i("div",null,l)}const y=s(n,[["render",h]]);export{E as __pageData,y as default};

assets/en_api_mp_math_point.md.Dr2bDE6-.lean.js

@@ -1 +1 @@
-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":"en/api/mp_math/point.md","filePath":"en/api/mp_math/point.md"}'),n={name:"en/api/mp_math/point.md"},e=t("",39),l=[e];function h(p,o,k,r,d,c){return a(),i("div",null,l)}const y=s(n,[["render",h]]);export{E as __pageData,y 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":"en/api/mp_math/point.md","filePath":"en/api/mp_math/point.md"}'),e={name:"en/api/mp_math/point.md"},h=t("",39),n=[h];function l(p,o,r,k,d,g){return a(),i("div",null,n)}const y=s(e,[["render",l]]);export{E as __pageData,y as default};

assets/en_api_mp_math_segment.md.BhIGb9yq.lean.js

@@ -1 +0,0 @@
-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.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/segment.md","filePath":"en/api/mp_math/segment.md"}'),t={name:"en/api/mp_math/segment.md"},p=n("",8),h=[p];function e(l,k,r,d,o,E){return a(),i("div",null,h)}const F=s(t,[["render",e]]);export{c as __pageData,F as default};

assets/en_api_mp_math_segment.md.D0wpX8Us.js

@@ -1,10 +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.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/segment.md","filePath":"en/api/mp_math/segment.md"}'),t={name:"en/api/mp_math/segment.md"},p=n(`<h1 id="module-mbcp-mp-math-segment" tabindex="-1"><strong>Module</strong> <code>mbcp.mp_math.segment</code> <a class="header-anchor" href="#module-mbcp-mp-math-segment" aria-label="Permalink to &quot;**Module** \`mbcp.mp_math.segment\`&quot;">​</a></h1><p>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="method-init-self-p1-point3-p2-point3" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, p1: Point3, p2: Point3)</code> <a class="header-anchor" href="#method-init-self-p1-point3-p2-point3" aria-label="Permalink to &quot;***method*** \`__init__(self, p1: Point3, p2: Point3)\`&quot;">​</a></h4><p><strong>Description</strong>: 三维空间中的线段。</p><p><strong>Arguments</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/segment.py#L14" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, 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 t}from"./chunks/framework.DpC1ZpOZ.js";const m=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/segment.md","filePath":"en/api/mp_math/segment.md"}'),n={name:"en/api/mp_math/segment.md"},h=t(`<h1 id="module-mbcp-mp-math-segment" tabindex="-1"><strong>Module</strong> <code>mbcp.mp_math.segment</code> <a class="header-anchor" href="#module-mbcp-mp-math-segment" aria-label="Permalink to &quot;**Module** \`mbcp.mp_math.segment\`&quot;">​</a></h1><p>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="method-init-self-p1-point3-p2-point3" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, p1: Point3, p2: Point3)</code> <a class="header-anchor" href="#method-init-self-p1-point3-p2-point3" aria-label="Permalink to &quot;***method*** \`__init__(self, p1: Point3, p2: Point3)\`&quot;">​</a></h4><p><strong>Description</strong>: 三维空间中的线段。</p><p><strong>Arguments</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/segment.py#L14" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, 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;">        Args:</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>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &#39;方向向量&#39;</span></span>
@@ -12,4 +6,4 @@ 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:#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>`,8),h=[p];function e(l,k,r,d,o,E){return a(),i("div",null,h)}const F=s(t,[["render",e]]);export{c as __pageData,F 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),e=[h];function p(l,k,r,d,o,E){return a(),i("div",null,e)}const c=s(n,[["render",p]]);export{m as __pageData,c as default};

assets/en_api_mp_math_segment.md.D0wpX8Us.lean.js

@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const m=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/segment.md","filePath":"en/api/mp_math/segment.md"}'),n={name:"en/api/mp_math/segment.md"},h=t("",8),e=[h];function p(l,k,r,d,o,E){return a(),i("div",null,e)}const c=s(n,[["render",p]]);export{m as __pageData,c as default};

assets/en_api_mp_math_utils.md.n9Hkxc_q.js

@@ -1,20 +1,5 @@
-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":"en/api/mp_math/utils.md","filePath":"en/api/mp_math/utils.md"}'),n={name:"en/api/mp_math/utils.md"},l=t(`<h1 id="module-mbcp-mp-math-utils" tabindex="-1"><strong>Module</strong> <code>mbcp.mp_math.utils</code> <a class="header-anchor" href="#module-mbcp-mp-math-utils" aria-label="Permalink to &quot;**Module** \`mbcp.mp_math.utils\`&quot;">​</a></h1><p>本模块定义了一些常用的工具函数</p><h3 id="func-clamp-x-float-min-float-max-float-float" tabindex="-1"><em><strong>func</strong></em> <code>clamp(x: float, min_: float, max_: float) -&gt; float</code> <a class="header-anchor" href="#func-clamp-x-float-min-float-max-float-float" aria-label="Permalink to &quot;***func*** \`clamp(x: float, min_: float, max_: float) -&gt; float\`&quot;">​</a></h3><p><strong>Description</strong>: 区间限定函数</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>x (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 值</li><li>min_ (<code>float</code>): 最小值</li><li>max_ (<code>float</code>): 最大值</li></ul></blockquote><p><strong>Return</strong>: <code>float</code>: 限定在区间内的值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L17" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> 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 E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/utils.md","filePath":"en/api/mp_math/utils.md"}'),n={name:"en/api/mp_math/utils.md"},l=t(`<h1 id="module-mbcp-mp-math-utils" tabindex="-1"><strong>Module</strong> <code>mbcp.mp_math.utils</code> <a class="header-anchor" href="#module-mbcp-mp-math-utils" aria-label="Permalink to &quot;**Module** \`mbcp.mp_math.utils\`&quot;">​</a></h1><p>本模块定义了一些常用的工具函数</p><h3 id="func-clamp-x-float-min-float-max-float-float" tabindex="-1"><em><strong>func</strong></em> <code>clamp(x: float, min_: float, max_: float) -&gt; float</code> <a class="header-anchor" href="#func-clamp-x-float-min-float-max-float-float" aria-label="Permalink to &quot;***func*** \`clamp(x: float, min_: float, max_: float) -&gt; float\`&quot;">​</a></h3><p><strong>Description</strong>: 区间限定函数</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>x (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 值</li><li>min_ (<code>float</code>): 最小值</li><li>max_ (<code>float</code>): 最大值</li></ul></blockquote><p><strong>Return</strong>: <code>float</code>: 限定在区间内的值</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L17" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> 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 ([\`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_ (\`float\`): 最小值</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;">        \`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="method-init-self-value-realnumber" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, value: RealNumber)</code> <a class="header-anchor" href="#method-init-self-value-realnumber" aria-label="Permalink to &quot;***method*** \`__init__(self, value: RealNumber)\`&quot;">​</a></h4><p><strong>Description</strong>: 用于近似比较对象</p><p><strong>Arguments</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L36" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, value: RealNumber):</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="method-eq-self-other" tabindex="-1"><em><strong>method</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#method-eq-self-other" aria-label="Permalink to &quot;***method*** \`__eq__(self, other)\`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L44" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
 <span class="line"><span style="--shiki-light:#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>
@@ -28,42 +13,16 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F
 <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="method-raise-type-error-self-other" tabindex="-1"><em><strong>method</strong></em> <code>raise_type_error(self, other)</code> <a class="header-anchor" href="#method-raise-type-error-self-other" aria-label="Permalink to &quot;***method*** \`raise_type_error(self, other)\`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L56" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> 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="method-ne-self-other" tabindex="-1"><em><strong>method</strong></em> <code>__ne__(self, other)</code> <a class="header-anchor" href="#method-ne-self-other" aria-label="Permalink to &quot;***method*** \`__ne__(self, other)\`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L59" 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;"> __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="func-approx-x-float-y-float-0-0-epsilon-float-approx-bool" tabindex="-1"><em><strong>func</strong></em> <code>approx(x: float, y: float = 0.0, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#func-approx-x-float-y-float-0-0-epsilon-float-approx-bool" aria-label="Permalink to &quot;***func*** \`approx(x: float, y: float = 0.0, epsilon: float = APPROX) -&gt; bool\`&quot;">​</a></h3><p><strong>Description</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>Arguments</strong>:</p><blockquote><ul><li>x (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 数1</li><li>y (<code>float</code>): 数2</li><li>epsilon (<code>float</code>): 误差</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似相等</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L63" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> approx</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(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 ([\`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 (\`float\`): 数2</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;">        [\`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="func-sign-x-float-only-neg-bool-false-str" tabindex="-1"><em><strong>func</strong></em> <code>sign(x: float, only_neg: bool = False) -&gt; str</code> <a class="header-anchor" href="#func-sign-x-float-only-neg-bool-false-str" aria-label="Permalink to &quot;***func*** \`sign(x: float, only_neg: bool = False) -&gt; str\`&quot;">​</a></h3><p><strong>Description</strong>: 获取数的符号。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>x (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 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>Return</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L76" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> 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 ([\`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 ([\`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;">        [\`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="func-sign-format-x-float-only-neg-bool-false-str" tabindex="-1"><em><strong>func</strong></em> <code>sign_format(x: float, only_neg: bool = False) -&gt; str</code> <a class="header-anchor" href="#func-sign-format-x-float-only-neg-bool-false-str" aria-label="Permalink to &quot;***func*** \`sign_format(x: float, only_neg: bool = False) -&gt; str\`&quot;">​</a></h3><p><strong>Description</strong>: 格式化符号数 -1 -&gt; -1 1 -&gt; +1 0 -&gt; &quot;&quot;</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>x (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 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>Return</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>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/utils.py#L92" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> 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 ([\`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 ([\`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;">        [\`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>`,38),h=[l];function e(p,k,r,o,d,g){return a(),i("div",null,h)}const c=s(n,[["render",e]]);export{F as __pageData,c 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),e=[l];function h(p,k,r,o,d,g){return a(),i("div",null,e)}const c=s(n,[["render",h]]);export{E as __pageData,c as default};

assets/en_api_mp_math_utils.md.n9Hkxc_q.lean.js

@@ -1 +1 @@
-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":"en/api/mp_math/utils.md","filePath":"en/api/mp_math/utils.md"}'),n={name:"en/api/mp_math/utils.md"},l=t("",38),h=[l];function e(p,k,r,o,d,g){return a(),i("div",null,h)}const c=s(n,[["render",e]]);export{F 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.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/utils.md","filePath":"en/api/mp_math/utils.md"}'),n={name:"en/api/mp_math/utils.md"},l=t("",38),e=[l];function h(p,k,r,o,d,g){return a(),i("div",null,e)}const c=s(n,[["render",h]]);export{E as __pageData,c as default};

assets/en_api_presets_model_index.md.CF6gWxhr.js

@@ -1,13 +1,5 @@
-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":"en/api/presets/model/index.md","filePath":"en/api/presets/model/index.md"}'),t={name:"en/api/presets/model/index.md"},h=n(`<h1 id="module-mbcp-presets-model" tabindex="-1"><strong>Module</strong> <code>mbcp.presets.model</code> <a class="header-anchor" href="#module-mbcp-presets-model" aria-label="Permalink to &quot;**Module** \`mbcp.presets.model\`&quot;">​</a></h1><p>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="method-sphere-radius-float-density-float" tabindex="-1"><em><strong>method</strong></em> <code>sphere(radius: float, density: float)</code> <a class="header-anchor" href="#method-sphere-radius-float-density-float" aria-label="Permalink to &quot;***method*** \`sphere(radius: float, density: float)\`&quot;">​</a></h4><p><strong>Description</strong>: 生成球体上的点集。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>radius:</li><li>density:</li></ul></blockquote><p><strong>Return</strong>: List[Point3]: 球体上的点集。</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/presets/model/__init__.py#L12" 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;">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":"en/api/presets/model/index.md","filePath":"en/api/presets/model/index.md"}'),h={name:"en/api/presets/model/index.md"},n=t(`<h1 id="module-mbcp-presets-model" tabindex="-1"><strong>Module</strong> <code>mbcp.presets.model</code> <a class="header-anchor" href="#module-mbcp-presets-model" aria-label="Permalink to &quot;**Module** \`mbcp.presets.model\`&quot;">​</a></h1><p>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="method-sphere-radius-float-density-float" tabindex="-1"><em><strong>method</strong></em> <code>sphere(radius: float, density: float)</code> <a class="header-anchor" href="#method-sphere-radius-float-density-float" aria-label="Permalink to &quot;***method*** \`sphere(radius: float, density: float)\`&quot;">​</a></h4><p><strong>Description</strong>: 生成球体上的点集。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>radius:</li><li>density:</li></ul></blockquote><p><strong>Return</strong>: List[Point3]: 球体上的点集。</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/presets/model/__init__.py#L12" 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;">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>
-<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;">            radius:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            density:</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;">            List[Point3]: 球体上的点集。</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:#24292E;--shiki-dark:#E1E4E8;">    area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 4</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.pi </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:#005CC5;--shiki-dark:#79B8FF;"> 2</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    num </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> density)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    phi_list </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.arccos([clamp(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</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;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2.0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</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;"> 1.0</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;"> num, </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 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;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _ </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>
@@ -15,4 +7,4 @@ 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;">    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(e,k,r,d,E,o){return a(),i("div",null,l)}const c=s(t,[["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;"> [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),e=[n];function l(p,k,r,d,E,o){return a(),i("div",null,e)}const c=s(h,[["render",l]]);export{y as __pageData,c as default};

assets/en_api_presets_model_index.md.CF6gWxhr.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":"en/api/presets/model/index.md","filePath":"en/api/presets/model/index.md"}'),t={name:"en/api/presets/model/index.md"},h=n("",10),l=[h];function p(e,k,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 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":"en/api/presets/model/index.md","filePath":"en/api/presets/model/index.md"}'),h={name:"en/api/presets/model/index.md"},n=t("",10),e=[n];function l(p,k,r,d,E,o){return a(),i("div",null,e)}const c=s(h,[["render",l]]);export{y as __pageData,c as default};

assets/ja_api_mp_math_angle.md.BPpenAm_.js

@@ -1,99 +0,0 @@
-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":"ja/api/mp_math/angle.md","filePath":"ja/api/mp_math/angle.md"}'),t={name:"ja/api/mp_math/angle.md"},e=n(`<h1 id="モジュール-mbcp-mp-math-angle" tabindex="-1"><strong>モジュール</strong> <code>mbcp.mp_math.angle</code> <a class="header-anchor" href="#モジュール-mbcp-mp-math-angle" aria-label="Permalink to &quot;**モジュール** \`mbcp.mp_math.angle\`&quot;">​</a></h1><p>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="method-init-self-value-float-is-radian-bool-false" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, value: float, is_radian: bool = False)</code> <a class="header-anchor" href="#method-init-self-value-float-is-radian-bool-false" aria-label="Permalink to &quot;***method*** \`__init__(self, value: float, is_radian: bool = False)\`&quot;">​</a></h4><p><strong>説明</strong>: 任意角度。</p><p><strong>引数</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L17" target="_blank">GitHubで表示</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>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            value: 角度或弧度值</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            is_radian: 是否为弧度，默认为否</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;"> 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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-complementary-self-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>complementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-complementary-self-anyangle" aria-label="Permalink to &quot;***method*** \`complementary(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>説明</strong>: 余角：两角的和为90°。</p><p><strong>戻り値</strong>: 余角</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L30" target="_blank">GitHubで表示</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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-supplementary-self-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>supplementary(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-supplementary-self-anyangle" aria-label="Permalink to &quot;***method*** \`supplementary(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>説明</strong>: 补角：两角的和为180°。</p><p><strong>戻り値</strong>: 补角</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L39" target="_blank">GitHubで表示</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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-degree-self-float" tabindex="-1"><em><strong>method</strong></em> <code>degree(self) -&gt; float</code> <a class="header-anchor" href="#method-degree-self-float" aria-label="Permalink to &quot;***method*** \`degree(self) -&gt; float\`&quot;">​</a></h4><p><strong>説明</strong>: 角度。</p><p><strong>戻り値</strong>: 弧度</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L48" target="_blank">GitHubで表示</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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-minimum-positive-self-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>minimum_positive(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-minimum-positive-self-anyangle" aria-label="Permalink to &quot;***method*** \`minimum_positive(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>説明</strong>: 最小正角。</p><p><strong>戻り値</strong>: 最小正角度</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L57" target="_blank">GitHubで表示</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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-maximum-negative-self-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>maximum_negative(self) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-maximum-negative-self-anyangle" aria-label="Permalink to &quot;***method*** \`maximum_negative(self) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>説明</strong>: 最大负角。</p><p><strong>戻り値</strong>: 最大负角度</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L66" target="_blank">GitHubで表示</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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-sin-self-float" tabindex="-1"><em><strong>method</strong></em> <code>sin(self) -&gt; float</code> <a class="header-anchor" href="#method-sin-self-float" aria-label="Permalink to &quot;***method*** \`sin(self) -&gt; float\`&quot;">​</a></h4><p><strong>説明</strong>: 正弦值。</p><p><strong>戻り値</strong>: 正弦值</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L75" target="_blank">GitHubで表示</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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-cos-self-float" tabindex="-1"><em><strong>method</strong></em> <code>cos(self) -&gt; float</code> <a class="header-anchor" href="#method-cos-self-float" aria-label="Permalink to &quot;***method*** \`cos(self) -&gt; float\`&quot;">​</a></h4><p><strong>説明</strong>: 余弦值。</p><p><strong>戻り値</strong>: 余弦值</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L84" target="_blank">GitHubで表示</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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-tan-self-float" tabindex="-1"><em><strong>method</strong></em> <code>tan(self) -&gt; float</code> <a class="header-anchor" href="#method-tan-self-float" aria-label="Permalink to &quot;***method*** \`tan(self) -&gt; float\`&quot;">​</a></h4><p><strong>説明</strong>: 正切值。</p><p><strong>戻り値</strong>: 正切值</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L93" target="_blank">GitHubで表示</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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-cot-self-float" tabindex="-1"><em><strong>method</strong></em> <code>cot(self) -&gt; float</code> <a class="header-anchor" href="#method-cot-self-float" aria-label="Permalink to &quot;***method*** \`cot(self) -&gt; float\`&quot;">​</a></h4><p><strong>説明</strong>: 余切值。</p><p><strong>戻り値</strong>: 余切值</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L102" target="_blank">GitHubで表示</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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-sec-self-float" tabindex="-1"><em><strong>method</strong></em> <code>sec(self) -&gt; float</code> <a class="header-anchor" href="#method-sec-self-float" aria-label="Permalink to &quot;***method*** \`sec(self) -&gt; float\`&quot;">​</a></h4><p><strong>説明</strong>: 正割值。</p><p><strong>戻り値</strong>: 正割值</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L111" target="_blank">GitHubで表示</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><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-csc-self-float" tabindex="-1"><em><strong>method</strong></em> <code>csc(self) -&gt; float</code> <a class="header-anchor" href="#method-csc-self-float" aria-label="Permalink to &quot;***method*** \`csc(self) -&gt; float\`&quot;">​</a></h4><p><strong>説明</strong>: 余割值。</p><p><strong>戻り値</strong>: 余割值</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L120" target="_blank">GitHubで表示</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>
-<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.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><h4 id="method-self-other-anyangle-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>self + other: AnyAngle =&gt; AnyAngle</code> <a class="header-anchor" href="#method-self-other-anyangle-anyangle" aria-label="Permalink to &quot;***method*** \`self + other: AnyAngle =&gt; AnyAngle\`&quot;">​</a></h4><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L128" target="_blank">GitHubで表示</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 style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#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:#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.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><h4 id="method-eq-self-other" tabindex="-1"><em><strong>method</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#method-eq-self-other" aria-label="Permalink to &quot;***method*** \`__eq__(self, other)\`&quot;">​</a></h4><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L131" target="_blank">GitHubで表示</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;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.radian, other.radian)</span></span></code></pre></div></details><h4 id="method-self-other-anyangle-anyangle-1" tabindex="-1"><em><strong>method</strong></em> <code>self - other: AnyAngle =&gt; AnyAngle</code> <a class="header-anchor" href="#method-self-other-anyangle-anyangle-1" aria-label="Permalink to &quot;***method*** \`self - other: AnyAngle =&gt; AnyAngle\`&quot;">​</a></h4><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L134" target="_blank">GitHubで表示</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;AnyAngle&#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:#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.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><h4 id="method-self-other-float-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>self * other: float =&gt; AnyAngle</code> <a class="header-anchor" href="#method-self-other-float-anyangle" aria-label="Permalink to &quot;***method*** \`self * other: float =&gt; AnyAngle\`&quot;">​</a></h4><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L137" target="_blank">GitHubで表示</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:#005CC5;--shiki-dark:#79B8FF;">float</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:#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><p><code>@overload</code></p><h4 id="method-self-other-float-anyangle-1" tabindex="-1"><em><strong>method</strong></em> <code>self / other: float =&gt; AnyAngle</code> <a class="header-anchor" href="#method-self-other-float-anyangle-1" aria-label="Permalink to &quot;***method*** \`self / other: float =&gt; AnyAngle\`&quot;">​</a></h4><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L147" target="_blank">GitHubで表示</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;"> __truediv__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </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:#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:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-anyangle-float" tabindex="-1"><em><strong>method</strong></em> <code>self / other: AnyAngle =&gt; float</code> <a class="header-anchor" href="#method-self-other-anyangle-float" aria-label="Permalink to &quot;***method*** \`self / other: AnyAngle =&gt; float\`&quot;">​</a></h4><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L151" target="_blank">GitHubで表示</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;"> __truediv__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#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:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="method-self-other" tabindex="-1"><em><strong>method</strong></em> <code>self / other</code> <a class="header-anchor" href="#method-self-other" aria-label="Permalink to &quot;***method*** \`self / other\`&quot;">​</a></h4><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/angle.py#L154" target="_blank">GitHubで表示</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,o,d,g){return i(),a("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default};

assets/ja_api_mp_math_angle.md.BPpenAm_.lean.js

@@ -1 +0,0 @@
-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":"ja/api/mp_math/angle.md","filePath":"ja/api/mp_math/angle.md"}'),t={name:"ja/api/mp_math/angle.md"},e=n("",80),l=[e];function h(p,k,r,o,d,g){return i(),a("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default};

assets/ja_api_mp_math_angle.md.DurFoqAy.lean.js

@@ -0,0 +1 @@
+import{_ as s,c as a,o as i,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const m=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/angle.md","filePath":"ja/api/mp_math/angle.md"}'),e={name:"ja/api/mp_math/angle.md"},n=t("",80),h=[n];function l(p,k,r,o,d,g){return i(),a("div",null,h)}const c=s(e,[["render",l]]);export{m as __pageData,c as default};

assets/ja_api_mp_math_equation.md.ClACMtEE.js

@@ -1,44 +1,14 @@
 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":"ja/api/mp_math/equation.md","filePath":"ja/api/mp_math/equation.md"}'),t={name:"ja/api/mp_math/equation.md"},l=n(`<h1 id="モジュール-mbcp-mp-math-equation" tabindex="-1"><strong>モジュール</strong> <code>mbcp.mp_math.equation</code> <a class="header-anchor" href="#モジュール-mbcp-mp-math-equation" aria-label="Permalink to &quot;**モジュール** \`mbcp.mp_math.equation\`&quot;">​</a></h1><p>本模块定义了方程相关的类和函数以及一些常用的数学函数</p><h3 id="class-curveequation" tabindex="-1"><em><strong>class</strong></em> <code>CurveEquation</code> <a class="header-anchor" href="#class-curveequation" aria-label="Permalink to &quot;***class*** \`CurveEquation\`&quot;">​</a></h3><h4 id="method-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)</code> <a class="header-anchor" href="#method-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" aria-label="Permalink to &quot;***method*** \`__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)\`&quot;">​</a></h4><p><strong>説明</strong>: 曲线方程。</p><p><strong>引数</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L12" target="_blank">GitHubで表示</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        曲线方程。</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            x_func ([\`OneVarFunc\`](./mp_math_typing#var-onevarfunc)): x函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            y_func ([\`OneVarFunc\`](./mp_math_typing#var-onevarfunc)): y函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            z_func ([\`OneVarFunc\`](./mp_math_typing#var-onevarfunc)): z函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x_func</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y_func</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> z_func</span></span></code></pre></div></details><h4 id="method-call-self-t-var-point3-tuple-point3" tabindex="-1"><em><strong>method</strong></em> <code>__call__(self, *t: Var) -&gt; Point3 | tuple[Point3, ...]</code> <a class="header-anchor" href="#method-call-self-t-var-point3-tuple-point3" aria-label="Permalink to &quot;***method*** \`__call__(self, *t: Var) -&gt; Point3 | tuple[Point3, ...]\`&quot;">​</a></h4><p><strong>説明</strong>: 计算曲线上的点。</p><p><strong>引数</strong>:</p><blockquote><ul><li>*t:</li><li>参数:</li></ul></blockquote><p><strong>戻り値</strong>: 目标点</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L24" target="_blank">GitHubで表示</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __call__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">t: Var) -&gt; Point3 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> tuple[Point3, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        计算曲线上的点。</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            *t:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">                参数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            目标点</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> len</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(t) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func(t[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]))</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([Point3(x, y, z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, y, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> zip</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func(t))])</span></span></code></pre></div></details><h3 id="func-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" tabindex="-1"><em><strong>func</strong></em> <code>get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -&gt; MultiVarsFunc</code> <a class="header-anchor" href="#func-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc" aria-label="Permalink to &quot;***func*** \`get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -&gt; MultiVarsFunc\`&quot;">​</a></h3><p><strong>説明</strong>: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。</p><div class="warning custom-block github-alert"><p class="custom-block-title">WARNING</p><p>目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升</p></div><p><strong>引数</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>戻り値</strong>: 偏导函数</p><p><strong>例外</strong>:</p><blockquote><ul><li>ValueError 无效变量类型</li></ul></blockquote><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/equation.py#L42" target="_blank">GitHubで表示</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> get_partial_derivative_func</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(func: MultiVarsFunc, var: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> |</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> tuple[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], epsilon: Number</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">EPSILON</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; MultiVarsFunc:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    求N元函数一阶偏导函数。这玩意不太稳定，慎用。</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &gt; [!warning]</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &gt; 目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升</span></span>
-<span class="line"></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        func ([\`MultiVarsFunc\`](./mp_math_typing#var-multivarsfunc)): N元函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        var: 变量位置，可为整数(一阶偏导)或整数元组(高阶偏导)</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        epsilon: 偏移量</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        偏导函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Raises:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        ValueError: 无效变量类型</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(var, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> partial_derivative_func</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args: Var) -&gt; Var:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            &quot;&quot;&quot;@litedoc-hide&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            args_list_plus </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> list</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(args)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            args_list_plus[var] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            args_list_minus </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> list</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(args)</span></span>
@@ -48,18 +18,10 @@ 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;">    elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(var, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> high_order_partial_derivative_func</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args: Var) -&gt; Var:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            &quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            @litedoc-hide</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            求高阶偏导函数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            Args:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">                *args: 参数</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">                高阶偏导数值</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            result_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> func</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> var:</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">                result_func </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> get_partial_derivative_func(result_func, v, epsilon)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> result_func(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">args)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> high_order_partial_derivative_func</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ValueError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Invalid var type&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details>`,23),p=[l];function h(e,k,r,E,d,c){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),h=[l];function p(e,k,r,E,d,c){return a(),i("div",null,h)}const o=s(t,[["render",p]]);export{u as __pageData,o as default};

assets/ja_api_mp_math_equation.md.ClACMtEE.lean.js

@@ -1 +1 @@
-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":"ja/api/mp_math/equation.md","filePath":"ja/api/mp_math/equation.md"}'),t={name:"ja/api/mp_math/equation.md"},l=n("",23),p=[l];function h(e,k,r,E,d,c){return a(),i("div",null,p)}const F=s(t,[["render",h]]);export{u as __pageData,F as default};
+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":"ja/api/mp_math/equation.md","filePath":"ja/api/mp_math/equation.md"}'),t={name:"ja/api/mp_math/equation.md"},l=n("",23),h=[l];function p(e,k,r,E,d,c){return a(),i("div",null,h)}const o=s(t,[["render",p]]);export{u as __pageData,o as default};

assets/ja_api_mp_math_function.md.pJM1NJ2m.lean.js

@@ -0,0 +1 @@
+import{_ as n,c as s,j as a,a as Q,a4 as t,o as i}from"./chunks/framework.DpC1ZpOZ.js";const V=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/function.md","filePath":"ja/api/mp_math/function.md"}'),T={name:"ja/api/mp_math/function.md"},e=t("",4),l={class:"tip custom-block github-alert"},h=a("p",{class:"custom-block-title"},"TIP",-1),r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},p=t("",1),o=[p],m=a("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[a("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[a("mi",null,"f"),a("mo",{stretchy:"false"},"("),a("mi",null,"x"),a("mo",null,","),a("mi",null,"y"),a("mo",null,","),a("mi",null,"z"),a("mo",{stretchy:"false"},")")])],-1),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},c={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},g=t("",1),u=[g],y=a("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[a("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[a("mo",{stretchy:"false"},"("),a("msub",null,[a("mi",null,"x"),a("mn",null,"0")]),a("mo",null,","),a("msub",null,[a("mi",null,"y"),a("mn",null,"0")]),a("mo",null,","),a("msub",null,[a("mi",null,"z"),a("mn",null,"0")]),a("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},f={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},_=t("",1),w=[_],x=a("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[a("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[a("mi",{mathvariant:"normal"},"∇"),a("mi",null,"f"),a("mo",{stretchy:"false"},"("),a("msub",null,[a("mi",null,"x"),a("mn",null,"0")]),a("mo",null,","),a("msub",null,[a("mi",null,"y"),a("mn",null,"0")]),a("mo",null,","),a("msub",null,[a("mi",null,"z"),a("mn",null,"0")]),a("mo",{stretchy:"false"},")"),a("mo",null,"="),a("mrow",{"data-mjx-texclass":"INNER"},[a("mo",{"data-mjx-texclass":"OPEN"},"("),a("mfrac",null,[a("mrow",null,[a("mi",null,"∂"),a("mi",null,"f")]),a("mrow",null,[a("mi",null,"∂"),a("mi",null,"x")])]),a("mo",null,","),a("mfrac",null,[a("mrow",null,[a("mi",null,"∂"),a("mi",null,"f")]),a("mrow",null,[a("mi",null,"∂"),a("mi",null,"y")])]),a("mo",null,","),a("mfrac",null,[a("mrow",null,[a("mi",null,"∂"),a("mi",null,"f")]),a("mrow",null,[a("mi",null,"∂"),a("mi",null,"z")])]),a("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),b=t("",13);function L(H,F,M,v,D,Z){return i(),s("div",null,[e,a("div",l,[h,a("p",null,[Q("已知一个函数"),a("mjx-container",r,[(i(),s("svg",d,o)),m]),Q("，则其在点"),a("mjx-container",k,[(i(),s("svg",c,u)),y]),Q("处的梯度向量为: "),a("mjx-container",E,[(i(),s("svg",f,w)),x])])]),b])}const A=n(T,[["render",L]]);export{V as __pageData,A as default};

assets/ja_api_mp_math_function.md.zcK7s9-C.lean.js

@@ -1 +0,0 @@
-import{_ as l,c as t,j as s,a as n,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Z=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/function.md","filePath":"ja/api/mp_math/function.md"}'),e={name:"ja/api/mp_math/function.md"},Q=a("",4),T={class:"tip custom-block github-alert"},h=s("p",{class:"custom-block-title"},"TIP",-1),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},r={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},d=a("",1),o=[d],k=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",null,","),s("mi",null,"z"),s("mo",{stretchy:"false"},")")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a("",1),u=[c],y=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},F={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},f=a("",1),_=[f],C=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",{mathvariant:"normal"},"∇"),s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")"),s("mo",null,"="),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"x")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"y")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"z")])]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),w=a("",13);function x(b,L,H,M,B,v){return i(),t("div",null,[Q,s("div",T,[h,s("p",null,[n("已知一个函数"),s("mjx-container",p,[(i(),t("svg",r,o)),k]),n("，则其在点"),s("mjx-container",m,[(i(),t("svg",g,u)),y]),n("处的梯度向量为: "),s("mjx-container",E,[(i(),t("svg",F,_)),C])])]),w])}const V=l(e,[["render",x]]);export{Z as __pageData,V as default};

assets/ja_api_mp_math_line.md.BUEG7Qno.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.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/line.md","filePath":"ja/api/mp_math/line.md"}'),t={name:"ja/api/mp_math/line.md"},l=n("",106),e=[l];function h(p,k,o,r,d,g){return a(),i("div",null,e)}const E=s(t,[["render",h]]);export{F as __pageData,E as default};

assets/ja_api_mp_math_line.md.BbbGydDH.js

@@ -1,38 +1,8 @@
-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":"ja/api/mp_math/line.md","filePath":"ja/api/mp_math/line.md"}'),t={name:"ja/api/mp_math/line.md"},l=n(`<h1 id="モジュール-mbcp-mp-math-line" tabindex="-1"><strong>モジュール</strong> <code>mbcp.mp_math.line</code> <a class="header-anchor" href="#モジュール-mbcp-mp-math-line" aria-label="Permalink to &quot;**モジュール** \`mbcp.mp_math.line\`&quot;">​</a></h1><p>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="method-init-self-point-point3-direction-vector3" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, point: Point3, direction: Vector3)</code> <a class="header-anchor" href="#method-init-self-point-point3-direction-vector3" aria-label="Permalink to &quot;***method*** \`__init__(self, point: Point3, direction: Vector3)\`&quot;">​</a></h4><p><strong>説明</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>引数</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L19" target="_blank">GitHubで表示</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 t}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":"ja/api/mp_math/line.md","filePath":"ja/api/mp_math/line.md"}'),n={name:"ja/api/mp_math/line.md"},e=t(`<h1 id="モジュール-mbcp-mp-math-line" tabindex="-1"><strong>モジュール</strong> <code>mbcp.mp_math.line</code> <a class="header-anchor" href="#モジュール-mbcp-mp-math-line" aria-label="Permalink to &quot;**モジュール** \`mbcp.mp_math.line\`&quot;">​</a></h1><p>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="method-init-self-point-point3-direction-vector3" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, point: Point3, direction: Vector3)</code> <a class="header-anchor" href="#method-init-self-point-point3-direction-vector3" aria-label="Permalink to &quot;***method*** \`__init__(self, point: Point3, direction: Vector3)\`&quot;">​</a></h4><p><strong>説明</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>引数</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L19" target="_blank">GitHubで表示</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 ([\`Point3\`](./point#class-point3)): 直线上的一点</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="method-approx-self-other-line3-epsilon-float-approx-bool" tabindex="-1"><em><strong>method</strong></em> <code>approx(self, other: Line3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#method-approx-self-other-line3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***method*** \`approx(self, other: Line3, epsilon: float = APPROX) -&gt; bool\`&quot;">​</a></h4><p><strong>説明</strong>: 判断两条直线是否近似相等。</p><p><strong>引数</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>戻り値</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L29" target="_blank">GitHubで表示</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 ([\`Line3\`](./line#class-line3)): 另一条直线</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;">            [\`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="method-cal-angle-self-other-line3-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>cal_angle(self, other: Line3) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-cal-angle-self-other-line3-anyangle" aria-label="Permalink to &quot;***method*** \`cal_angle(self, other: Line3) -&gt; AnyAngle\`&quot;">​</a></h4><p><strong>説明</strong>: 计算直线和直线之间的夹角。</p><p><strong>引数</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>戻り値</strong>: <a href="./angle.html#class-anyangle"><code>AnyAngle</code></a>: 夹角</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L40" target="_blank">GitHubで表示</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 ([\`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;">            [\`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:#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="method-cal-distance-self-other-line3-point3-float" tabindex="-1"><em><strong>method</strong></em> <code>cal_distance(self, other: Line3 | Point3) -&gt; float</code> <a class="header-anchor" href="#method-cal-distance-self-other-line3-point3-float" aria-label="Permalink to &quot;***method*** \`cal_distance(self, other: Line3 | Point3) -&gt; float\`&quot;">​</a></h4><p><strong>説明</strong>: 计算直线和直线或点之间的距离。</p><p><strong>引数</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>戻り値</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>例外</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L50" target="_blank">GitHubで表示</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 ([\`Line3\`](./line#class-line3) | [\`Point3\`](./point#class-point3)): 另一条直线或点</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;">            [\`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\`](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>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
@@ -46,91 +16,19 @@ 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;">        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="method-cal-intersection-self-other-line3-point3" tabindex="-1"><em><strong>method</strong></em> <code>cal_intersection(self, other: Line3) -&gt; Point3</code> <a class="header-anchor" href="#method-cal-intersection-self-other-line3-point3" aria-label="Permalink to &quot;***method*** \`cal_intersection(self, other: Line3) -&gt; Point3\`&quot;">​</a></h4><p><strong>説明</strong>: 计算两条直线的交点。</p><p><strong>引数</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>戻り値</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 交点</p><p><strong>例外</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L80" target="_blank">GitHubで表示</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 ([\`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;">            [\`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\`](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;">        &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="method-cal-perpendicular-self-point-point3-line3" tabindex="-1"><em><strong>method</strong></em> <code>cal_perpendicular(self, point: Point3) -&gt; Line3</code> <a class="header-anchor" href="#method-cal-perpendicular-self-point-point3-line3" aria-label="Permalink to &quot;***method*** \`cal_perpendicular(self, point: Point3) -&gt; Line3\`&quot;">​</a></h4><p><strong>説明</strong>: 计算直线经过指定点p的垂线。</p><p><strong>引数</strong>:</p><blockquote><ul><li>point (<a href="./point.html#class-point3"><code>Point3</code></a>): 指定点</li></ul></blockquote><p><strong>戻り値</strong>: <a href="./line.html#class-line3"><code>Line3</code></a>: 垂线</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L98" target="_blank">GitHubで表示</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 ([\`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;">            [\`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="method-get-point-self-t-realnumber-point3" tabindex="-1"><em><strong>method</strong></em> <code>get_point(self, t: RealNumber) -&gt; Point3</code> <a class="header-anchor" href="#method-get-point-self-t-realnumber-point3" aria-label="Permalink to &quot;***method*** \`get_point(self, t: RealNumber) -&gt; Point3\`&quot;">​</a></h4><p><strong>説明</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>引数</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>戻り値</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 点</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L108" target="_blank">GitHubで表示</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 ([\`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;">            [\`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="method-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" tabindex="-1"><em><strong>method</strong></em> <code>get_parametric_equations(self) -&gt; tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]</code> <a class="header-anchor" href="#method-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" aria-label="Permalink to &quot;***method*** \`get_parametric_equations(self) -&gt; tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]\`&quot;">​</a></h4><p><strong>説明</strong>: 获取直线的参数方程。</p><p><strong>戻り値</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L118" target="_blank">GitHubで表示</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;">            [\`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="method-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -&gt; bool</code> <a class="header-anchor" href="#method-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" aria-label="Permalink to &quot;***method*** \`is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -&gt; bool\`&quot;">​</a></h4><p><strong>説明</strong>: 判断两条直线是否近似平行。</p><p><strong>引数</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>戻り値</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L128" target="_blank">GitHubで表示</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 ([\`Line3\`](./line#class-line3)): 另一条直线</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            epsilon ([\`float\`](https%3A//docs.python.org/3/library/functions.html#float)): 误差</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        Returns:</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">            [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否近似平行</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.is_approx_parallel(other.direction, epsilon)</span></span></code></pre></div></details><h4 id="method-is-parallel-self-other-line3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_parallel(self, other: Line3) -&gt; bool</code> <a class="header-anchor" href="#method-is-parallel-self-other-line3-bool" aria-label="Permalink to &quot;***method*** \`is_parallel(self, other: Line3) -&gt; bool\`&quot;">​</a></h4><p><strong>説明</strong>: 判断两条直线是否平行。</p><p><strong>引数</strong>:</p><blockquote><ul><li>other (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一</li></ul></blockquote><p><strong>戻り値</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L139" target="_blank">GitHubで表示</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 ([\`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;">            [\`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="method-is-collinear-self-other-line3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_collinear(self, other: Line3) -&gt; bool</code> <a class="header-anchor" href="#method-is-collinear-self-other-line3-bool" aria-label="Permalink to &quot;***method*** \`is_collinear(self, other: Line3) -&gt; bool\`&quot;">​</a></h4><p><strong>説明</strong>: 判断两条直线是否共线。</p><p><strong>引数</strong>:</p><blockquote><ul><li>other (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一</li></ul></blockquote><p><strong>戻り値</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L149" target="_blank">GitHubで表示</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 ([\`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;">            [\`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="method-is-point-on-self-point-point3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_point_on(self, point: Point3) -&gt; bool</code> <a class="header-anchor" href="#method-is-point-on-self-point-point3-bool" aria-label="Permalink to &quot;***method*** \`is_point_on(self, point: Point3) -&gt; bool\`&quot;">​</a></h4><p><strong>説明</strong>: 判断点是否在直线上。</p><p><strong>引数</strong>:</p><blockquote><ul><li>point (<a href="./point.html#class-point3"><code>Point3</code></a>): 点</li></ul></blockquote><p><strong>戻り値</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L159" target="_blank">GitHubで表示</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 ([\`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;">            [\`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="method-is-coplanar-self-other-line3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_coplanar(self, other: Line3) -&gt; bool</code> <a class="header-anchor" href="#method-is-coplanar-self-other-line3-bool" aria-label="Permalink to &quot;***method*** \`is_coplanar(self, other: Line3) -&gt; bool\`&quot;">​</a></h4><p><strong>説明</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>引数</strong>:</p><blockquote><ul><li>other (<a href="./line.html#class-line3"><code>Line3</code></a>): 另一</li></ul></blockquote><p><strong>戻り値</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L169" target="_blank">GitHubで表示</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 ([\`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;">            [\`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="method-simplify-self" tabindex="-1"><em><strong>method</strong></em> <code>simplify(self)</code> <a class="header-anchor" href="#method-simplify-self" aria-label="Permalink to &quot;***method*** \`simplify(self)\`&quot;">​</a></h4><p><strong>説明</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L180" target="_blank">GitHubで表示</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>
-<span class="line"></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        按照可行性一次对x y z 化 0 处理，并对向量单位化</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">        &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;">.direction.normalize()</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
@@ -139,36 +37,12 @@ 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;"> 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><a href="https://docs.python.org/3/library/functions.html#classmethod" target="_blank" rel="noreferrer"><code>@classmethod</code></a></p><h4 id="method-from-two-points-cls-p1-point3-p2-point3-line3" tabindex="-1"><em><strong>method</strong></em> <code>from_two_points(cls, p1: Point3, p2: Point3) -&gt; Line3</code> <a class="header-anchor" href="#method-from-two-points-cls-p1-point3-p2-point3-line3" aria-label="Permalink to &quot;***method*** \`from_two_points(cls, p1: Point3, p2: Point3) -&gt; Line3\`&quot;">​</a></h4><p><strong>説明</strong>: 工厂函数 由两点构造直线。</p><p><strong>引数</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>戻り値</strong>: <a href="./line.html#class-line3"><code>Line3</code></a>: 直线</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L199" target="_blank">GitHubで表示</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 ([\`Point3\`](./point#class-point3)): 点1</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;">            [\`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="method-and-self-other-line3-line3-point3-none" tabindex="-1"><em><strong>method</strong></em> <code>__and__(self, other: Line3) -&gt; Line3 | Point3 | None</code> <a class="header-anchor" href="#method-and-self-other-line3-line3-point3-none" aria-label="Permalink to &quot;***method*** \`__and__(self, other: Line3) -&gt; Line3 | Point3 | None\`&quot;">​</a></h4><p><strong>説明</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>引数</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>戻り値</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L211" target="_blank">GitHubで表示</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 ([\`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;">            [\`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="method-eq-self-other-bool" tabindex="-1"><em><strong>method</strong></em> <code>__eq__(self, other) -&gt; bool</code> <a class="header-anchor" href="#method-eq-self-other-bool" aria-label="Permalink to &quot;***method*** \`__eq__(self, other) -&gt; bool\`&quot;">​</a></h4><p><strong>説明</strong>: 判断两条直线是否等价。</p><p>v1 // v2 ∧ (p1 - p2) // v1</p><p><strong>引数</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>戻り値</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/line.py#L226" target="_blank">GitHubで表示</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:#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),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};
-<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 ([\`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;">            [\`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>`,106),e=[l];function h(p,k,o,r,d,g){return a(),i("div",null,e)}const E=s(t,[["render",h]]);export{F as __pageData,E as default};

assets/ja_api_mp_math_line.md.BbbGydDH.lean.js

@@ -0,0 +1 @@
+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.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/line.md","filePath":"ja/api/mp_math/line.md"}'),n={name:"ja/api/mp_math/line.md"},e=t("",106),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/ja_api_mp_math_point.md.Bj_wyaCj.js

@@ -1,52 +0,0 @@
-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":"ja/api/mp_math/point.md","filePath":"ja/api/mp_math/point.md"}'),n={name:"ja/api/mp_math/point.md"},h=t(`<h1 id="モジュール-mbcp-mp-math-point" tabindex="-1"><strong>モジュール</strong> <code>mbcp.mp_math.point</code> <a class="header-anchor" href="#モジュール-mbcp-mp-math-point" aria-label="Permalink to &quot;**モジュール** \`mbcp.mp_math.point\`&quot;">​</a></h1><p>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="method-init-self-x-float-y-float-z-float" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, x: float, y: float, z: float)</code> <a class="header-anchor" href="#method-init-self-x-float-y-float-z-float" aria-label="Permalink to &quot;***method*** \`__init__(self, x: float, y: float, z: float)\`&quot;">​</a></h4><p><strong>説明</strong>: 笛卡尔坐标系中的点。</p><p><strong>引数</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L15" target="_blank">GitHubで表示</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 ([\`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 (\`float\`): y 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="method-approx-self-other-point3-epsilon-float-approx-bool" tabindex="-1"><em><strong>method</strong></em> <code>approx(self, other: Point3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#method-approx-self-other-point3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***method*** \`approx(self, other: Point3, epsilon: float = APPROX) -&gt; bool\`&quot;">​</a></h4><p><strong>説明</strong>: 判断两个点是否近似相等。</p><p><strong>引数</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>戻り値</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L27" target="_blank">GitHubで表示</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 ([\`Point3\`](./point#class-point3)): 另一个点</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;">            [\`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="method-self-other-vector3-point3" tabindex="-1"><em><strong>method</strong></em> <code>self + other: Vector3 =&gt; Point3</code> <a class="header-anchor" href="#method-self-other-vector3-point3" aria-label="Permalink to &quot;***method*** \`self + other: Vector3 =&gt; Point3\`&quot;">​</a></h4><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L47" target="_blank">GitHubで表示</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="method-self-other-point3-point3" tabindex="-1"><em><strong>method</strong></em> <code>self + other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#method-self-other-point3-point3" aria-label="Permalink to &quot;***method*** \`self + other: Point3 =&gt; Point3\`&quot;">​</a></h4><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L51" target="_blank">GitHubで表示</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    ...</span></span></code></pre></div></details><h4 id="method-self-other" tabindex="-1"><em><strong>method</strong></em> <code>self + other</code> <a class="header-anchor" href="#method-self-other" aria-label="Permalink to &quot;***method*** \`self + other\`&quot;">​</a></h4><p><strong>説明</strong>: P + V -&gt; P P + P -&gt; P</p><p><strong>引数</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>戻り値</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 新的点</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L54" target="_blank">GitHubで表示</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 ([\`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="method-eq-self-other" tabindex="-1"><em><strong>method</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#method-eq-self-other" aria-label="Permalink to &quot;***method*** \`__eq__(self, other)\`&quot;">​</a></h4><p><strong>説明</strong>: 判断两个点是否相等。</p><p><strong>引数</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>戻り値</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>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L65" target="_blank">GitHubで表示</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 ([\`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="method-self-other-point3-vector3" tabindex="-1"><em><strong>method</strong></em> <code>self - other: Point3 =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-point3-vector3" aria-label="Permalink to &quot;***method*** \`self - other: Point3 =&gt; Vector3\`&quot;">​</a></h4><p><strong>説明</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>引数</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>戻り値</strong>: <a href="./vector.html#class-vector3"><code>Vector3</code></a>: 新的向量</p><details><summary><b>ソースコード</b> または <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/point.py#L75" target="_blank">GitHubで表示</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 [\`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 ([\`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;">            [\`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>`,39),l=[h];function e(p,o,k,r,d,g){return a(),i("div",null,l)}const y=s(n,[["render",e]]);export{E as __pageData,y as default};

assets/ja_api_mp_math_point.md.Bj_wyaCj.lean.js

@@ -1 +0,0 @@
-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":"ja/api/mp_math/point.md","filePath":"ja/api/mp_math/point.md"}'),n={name:"ja/api/mp_math/point.md"},h=t("",39),l=[h];function e(p,o,k,r,d,g){return a(),i("div",null,l)}const y=s(n,[["render",e]]);export{E as __pageData,y as default};