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import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp"},"headers":[],"relativePath":"zh-Hant/api/index.md","filePath":"zh-Hant/api/index.md"}'),n={name:"zh-Hant/api/index.md"};function i(r,c,o,p,s,d){return a(),t("div")}const f=e(n,[["render",i]]);export{_ as __pageData,f as default};
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import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp"},"headers":[],"relativePath":"zh-Hant/api/index.md","filePath":"zh-Hant/api/index.md"}'),n={name:"zh-Hant/api/index.md"};function i(r,c,o,p,s,d){return a(),t("div")}const f=e(n,[["render",i]]);export{_ as __pageData,f as default};
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import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"zh-Hant/api/mp_math/angle.md","filePath":"zh-Hant/api/mp_math/angle.md"}'),e={name:"zh-Hant/api/mp_math/angle.md"},l=n(`<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 "***class*** \`Angle\`""></a></h3><h3 id="class-anyangle" tabindex="-1"><em><strong>class</strong></em> <code>AnyAngle</code> <a class="header-anchor" href="#class-anyangle" aria-label="Permalink to "***class*** \`AnyAngle\`""></a></h3><h3 id="def-init-self-value-float-is-radian-bool-false" tabindex="-1"><em>def</em> <code>__init__(self, value: float, is_radian: bool = False)</code> <a class="header-anchor" href="#def-init-self-value-float-is-radian-bool-false" aria-label="Permalink to "*def* \`__init__(self, value: float, is_radian: bool = False)\`""></a></h3><p>任意角度。</p><p>參數:</p><ul><li><p>value: 角度或弧度值</p></li><li><p>is_radian: 是否为弧度，默认为否</p></li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 任意角度。</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> value: 角度或弧度值</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> is_radian: 是否为弧度，默认为否</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<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>
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<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>
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<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<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><h3 id="property" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-complementary-self-anyangle" tabindex="-1"><em>def</em> <code>complementary(self) -> 'AnyAngle'</code> <a class="header-anchor" href="#def-complementary-self-anyangle" aria-label="Permalink to "*def* \`complementary(self) -> 'AnyAngle'\`""></a></h3><p>余角：两角的和为90°。</p><p>返回:</p><ul><li>余角</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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<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) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 余角：两角的和为90°。</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 余角</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<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><h3 id="property-1" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property-1" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-supplementary-self-anyangle" tabindex="-1"><em>def</em> <code>supplementary(self) -> 'AnyAngle'</code> <a class="header-anchor" href="#def-supplementary-self-anyangle" aria-label="Permalink to "*def* \`supplementary(self) -> 'AnyAngle'\`""></a></h3><p>补角：两角的和为180°。</p><p>返回:</p><ul><li>补角</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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<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) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 补角：两角的和为180°。</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 补角</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<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><h3 id="property-2" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property-2" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-degree-self-float" tabindex="-1"><em>def</em> <code>degree(self) -> float</code> <a class="header-anchor" href="#def-degree-self-float" aria-label="Permalink to "*def* \`degree(self) -> float\`""></a></h3><p>角度。</p><p>返回:</p><ul><li>弧度</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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<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) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 角度。</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 弧度</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<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><h3 id="property-3" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property-3" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-minimum-positive-self-anyangle" tabindex="-1"><em>def</em> <code>minimum_positive(self) -> 'AnyAngle'</code> <a class="header-anchor" href="#def-minimum-positive-self-anyangle" aria-label="Permalink to "*def* \`minimum_positive(self) -> 'AnyAngle'\`""></a></h3><p>最小正角。</p><p>返回:</p><ul><li>最小正角度</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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<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) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 最小正角。</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 最小正角度</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<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><h3 id="property-4" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property-4" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-maximum-negative-self-anyangle" tabindex="-1"><em>def</em> <code>maximum_negative(self) -> 'AnyAngle'</code> <a class="header-anchor" href="#def-maximum-negative-self-anyangle" aria-label="Permalink to "*def* \`maximum_negative(self) -> 'AnyAngle'\`""></a></h3><p>最大负角。</p><p>返回:</p><ul><li>最大负角度</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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<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) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 最大负角。</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 最大负角度</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<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><h3 id="property-5" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property-5" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-sin-self-float" tabindex="-1"><em>def</em> <code>sin(self) -> float</code> <a class="header-anchor" href="#def-sin-self-float" aria-label="Permalink to "*def* \`sin(self) -> float\`""></a></h3><p>正弦值。</p><p>返回:</p><ul><li>正弦值</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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||||||
<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) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 正弦值。</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 正弦值</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<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><h3 id="property-6" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property-6" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-cos-self-float" tabindex="-1"><em>def</em> <code>cos(self) -> float</code> <a class="header-anchor" href="#def-cos-self-float" aria-label="Permalink to "*def* \`cos(self) -> float\`""></a></h3><p>余弦值。</p><p>返回:</p><ul><li>余弦值</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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||||||
<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) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 余弦值。</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 余弦值</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<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><h3 id="property-7" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property-7" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-tan-self-float" tabindex="-1"><em>def</em> <code>tan(self) -> float</code> <a class="header-anchor" href="#def-tan-self-float" aria-label="Permalink to "*def* \`tan(self) -> float\`""></a></h3><p>正切值。</p><p>返回:</p><ul><li>正切值</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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|
||||||
<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) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 正切值。</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 正切值</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<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><h3 id="property-8" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property-8" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-cot-self-float" tabindex="-1"><em>def</em> <code>cot(self) -> float</code> <a class="header-anchor" href="#def-cot-self-float" aria-label="Permalink to "*def* \`cot(self) -> float\`""></a></h3><p>余切值。</p><p>返回:</p><ul><li>余切值</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</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;"> """</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><h3 id="property-9" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property-9" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-sec-self-float" tabindex="-1"><em>def</em> <code>sec(self) -> float</code> <a class="header-anchor" href="#def-sec-self-float" aria-label="Permalink to "*def* \`sec(self) -> float\`""></a></h3><p>正割值。</p><p>返回:</p><ul><li>正割值</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 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;"> """</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><h3 id="property-10" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property-10" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-csc-self-float" tabindex="-1"><em>def</em> <code>csc(self) -> float</code> <a class="header-anchor" href="#def-csc-self-float" aria-label="Permalink to "*def* \`csc(self) -> float\`""></a></h3><p>余割值。</p><p>返回:</p><ul><li>余割值</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 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;"> """</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><h3 id="def-add-self-other-anyangle-anyangle" tabindex="-1"><em>def</em> <code>__add__(self, other: 'AnyAngle') -> 'AnyAngle'</code> <a class="header-anchor" href="#def-add-self-other-anyangle-anyangle" aria-label="Permalink to "*def* \`__add__(self, other: 'AnyAngle') -> 'AnyAngle'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<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><h3 id="def-eq-self-other" tabindex="-1"><em>def</em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#def-eq-self-other" aria-label="Permalink to "*def* \`__eq__(self, other)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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><h3 id="def-sub-self-other-anyangle-anyangle" tabindex="-1"><em>def</em> <code>__sub__(self, other: 'AnyAngle') -> 'AnyAngle'</code> <a class="header-anchor" href="#def-sub-self-other-anyangle-anyangle" aria-label="Permalink to "*def* \`__sub__(self, other: 'AnyAngle') -> 'AnyAngle'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#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><h3 id="def-mul-self-other-float-anyangle" tabindex="-1"><em>def</em> <code>__mul__(self, other: float) -> 'AnyAngle'</code> <a class="header-anchor" href="#def-mul-self-other-float-anyangle" aria-label="Permalink to "*def* \`__mul__(self, other: float) -> 'AnyAngle'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<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><h3 id="def-repr-self" tabindex="-1"><em>def</em> <code>__repr__(self)</code> <a class="header-anchor" href="#def-repr-self" aria-label="Permalink to "*def* \`__repr__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> __repr__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
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<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;">'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:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">, is_radian=True)'</span></span></code></pre></div></details><h3 id="def-str-self" tabindex="-1"><em>def</em> <code>__str__(self)</code> <a class="header-anchor" href="#def-str-self" aria-label="Permalink to "*def* \`__str__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> __str__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
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||||||
<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;">'AnyAngle(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.degree</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">° or </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:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> rad)'</span></span></code></pre></div></details><h3 id="overload" tabindex="-1"><code>@overload</code> <a class="header-anchor" href="#overload" aria-label="Permalink to "\`@overload\`""></a></h3><h3 id="def-truediv-self-other-float-anyangle" tabindex="-1"><em>def</em> <code>__truediv__(self, other: float) -> 'AnyAngle'</code> <a class="header-anchor" href="#def-truediv-self-other-float-anyangle" aria-label="Permalink to "*def* \`__truediv__(self, other: float) -> 'AnyAngle'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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<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;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h3 id="overload-1" tabindex="-1"><code>@overload</code> <a class="header-anchor" href="#overload-1" aria-label="Permalink to "\`@overload\`""></a></h3><h3 id="def-truediv-self-other-anyangle-float" tabindex="-1"><em>def</em> <code>__truediv__(self, other: 'AnyAngle') -> float</code> <a class="header-anchor" href="#def-truediv-self-other-anyangle-float" aria-label="Permalink to "*def* \`__truediv__(self, other: 'AnyAngle') -> float\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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<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;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h3 id="def-truediv-self-other" tabindex="-1"><em>def</em> <code>__truediv__(self, other)</code> <a class="header-anchor" href="#def-truediv-self-other" aria-label="Permalink to "*def* \`__truediv__(self, other)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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>
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||||||
<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>
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||||||
<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>
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||||||
<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>`,93),t=[l];function h(p,k,r,d,o,g){return a(),i("div",null,t)}const c=s(e,[["render",h]]);export{F as __pageData,c as default};
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import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"zh-Hant/api/mp_math/angle.md","filePath":"zh-Hant/api/mp_math/angle.md"}'),e={name:"zh-Hant/api/mp_math/angle.md"},l=n("",93),t=[l];function h(p,k,r,d,o,g){return a(),i("div",null,t)}const c=s(e,[["render",h]]);export{F as __pageData,c as default};
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import{_ as a,c as e,o as t,a2 as r}from"./chunks/framework.BV61Qrc0.js";const v=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"zh-Hant/api/mp_math/const.md","filePath":"zh-Hant/api/mp_math/const.md"}'),o={name:"zh-Hant/api/mp_math/const.md"},n=r('<h3 id="var-pi-math-pi" tabindex="-1"><em><strong>var</strong></em> <code>PI = math.pi</code> <a class="header-anchor" href="#var-pi-math-pi" aria-label="Permalink to "***var*** `PI = math.pi`""></a></h3><h3 id="var-e-math-e" tabindex="-1"><em><strong>var</strong></em> <code>E = math.e</code> <a class="header-anchor" href="#var-e-math-e" aria-label="Permalink to "***var*** `E = math.e`""></a></h3><h3 id="var-golden-ratio-1-math-sqrt-5-2" tabindex="-1"><em><strong>var</strong></em> <code>GOLDEN_RATIO = (1 + math.sqrt(5)) / 2</code> <a class="header-anchor" href="#var-golden-ratio-1-math-sqrt-5-2" aria-label="Permalink to "***var*** `GOLDEN_RATIO = (1 + math.sqrt(5)) / 2`""></a></h3><h3 id="var-gamma-0-5772156649015329" tabindex="-1"><em><strong>var</strong></em> <code>GAMMA = 0.5772156649015329</code> <a class="header-anchor" href="#var-gamma-0-5772156649015329" aria-label="Permalink to "***var*** `GAMMA = 0.5772156649015329`""></a></h3><h3 id="var-epsilon-0-0001" tabindex="-1"><em><strong>var</strong></em> <code>EPSILON = 0.0001</code> <a class="header-anchor" href="#var-epsilon-0-0001" aria-label="Permalink to "***var*** `EPSILON = 0.0001`""></a></h3><h3 id="var-approx-0-001" tabindex="-1"><em><strong>var</strong></em> <code>APPROX = 0.001</code> <a class="header-anchor" href="#var-approx-0-001" aria-label="Permalink to "***var*** `APPROX = 0.001`""></a></h3>',6),s=[n];function h(m,c,i,d,l,_){return t(),e("div",null,s)}const P=a(o,[["render",h]]);export{v as __pageData,P as default};
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import{_ as a,c as e,o as t,a2 as r}from"./chunks/framework.BV61Qrc0.js";const v=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"zh-Hant/api/mp_math/const.md","filePath":"zh-Hant/api/mp_math/const.md"}'),o={name:"zh-Hant/api/mp_math/const.md"},n=r("",6),s=[n];function h(m,c,i,d,l,_){return t(),e("div",null,s)}const P=a(o,[["render",h]]);export{v as __pageData,P as default};
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@ -1,63 +0,0 @@
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import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"zh-Hant/api/mp_math/equation.md","filePath":"zh-Hant/api/mp_math/equation.md"}'),l={name:"zh-Hant/api/mp_math/equation.md"},t=n(`<h3 id="def-get-partial-derivative-func-func-multivarsfunc-epsilon-multivarsfunc" tabindex="-1"><em>def</em> <code>get_partial_derivative_func(func: MultiVarsFunc = EPSILON) -> MultiVarsFunc</code> <a class="header-anchor" href="#def-get-partial-derivative-func-func-multivarsfunc-epsilon-multivarsfunc" aria-label="Permalink to "*def* \`get_partial_derivative_func(func: MultiVarsFunc = EPSILON) -> MultiVarsFunc\`""></a></h3><p>求N元函数一阶偏导函数。这玩意不太稳定，慎用。</p><p>參數:</p><ul><li><p>func: 函数</p></li><li><p>var: 变量位置，可为整数(一阶偏导)或整数元组(高阶偏导)</p></li><li><p>epsilon: 偏移量</p></li></ul><p>返回:</p><ul><li>偏导函数</li></ul><p>引發:</p><ul><li>ValueError 无效变量类型</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">) -> MultiVarsFunc:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<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>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> func: 函数</span></span>
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<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>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon: 偏移量</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 偏导函数</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Raises:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ValueError: 无效变量类型</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<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>
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<span class="line"></span>
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<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) -> Var:</span></span>
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||||||
<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>
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||||||
<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>
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<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>
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||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> args_list_minus[var] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span>
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<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (func(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><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:#24292E;--shiki-dark:#E1E4E8;"> func(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><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:#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:#24292E;--shiki-dark:#E1E4E8;"> epsilon)</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> partial_derivative_func</span></span>
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||||||
<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>
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||||||
<span class="line"></span>
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||||||
<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) -> Var:</span></span>
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||||||
<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>
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||||||
<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>
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||||||
<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>
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|
||||||
<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>
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||||||
<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>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<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;">'Invalid var type'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="def-partial-derivative-func-var" tabindex="-1"><em>def</em> <code>partial_derivative_func() -> Var</code> <a class="header-anchor" href="#def-partial-derivative-func-var" aria-label="Permalink to "*def* \`partial_derivative_func() -> Var\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> 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) -> Var:</span></span>
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|
||||||
<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>
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||||||
<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>
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|
||||||
<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>
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||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> args_list_minus[var] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (func(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><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:#24292E;--shiki-dark:#E1E4E8;"> func(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><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:#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:#24292E;--shiki-dark:#E1E4E8;"> epsilon)</span></span></code></pre></div></details><h3 id="def-high-order-partial-derivative-func-var" tabindex="-1"><em>def</em> <code>high_order_partial_derivative_func() -> Var</code> <a class="header-anchor" href="#def-high-order-partial-derivative-func-var" aria-label="Permalink to "*def* \`high_order_partial_derivative_func() -> Var\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> 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) -> Var:</span></span>
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|
||||||
<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>
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|
||||||
<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>
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|
||||||
<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>
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|
||||||
<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></code></pre></div></details><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 "***class*** \`CurveEquation\`""></a></h3><h3 id="def-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" tabindex="-1"><em>def</em> <code>__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)</code> <a class="header-anchor" href="#def-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" aria-label="Permalink to "*def* \`__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)\`""></a></h3><p>曲线方程。</p><p>參數:</p><ul><li><p>x_func: x函数</p></li><li><p>y_func: y函数</p></li><li><p>z_func: z函数</p></li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 曲线方程。</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> x_func: x函数</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> y_func: y函数</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> z_func: z函数</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<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>
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|
||||||
<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>
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|
||||||
<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><h3 id="def-call-self-point3-tuple-point3" tabindex="-1"><em>def</em> <code>__call__(self) -> Point3 | tuple[Point3, ...]</code> <a class="header-anchor" href="#def-call-self-point3-tuple-point3" aria-label="Permalink to "*def* \`__call__(self) -> Point3 | tuple[Point3, ...]\`""></a></h3><p>计算曲线上的点。</p><p>參數:</p><ul><li><p>*t:</p></li><li><p>参数:</p></li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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) -> 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>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算曲线上的点。</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>
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|
||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> 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>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([Point3(x, y, z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, y, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> zip</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y_func(t), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z_func(t))])</span></span></code></pre></div></details><h3 id="def-str-self" tabindex="-1"><em>def</em> <code>__str__(self)</code> <a class="header-anchor" href="#def-str-self" aria-label="Permalink to "*def* \`__str__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> __str__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 'CurveEquation()'</span></span></code></pre></div></details><h3 id="var-result-func-get-partial-derivative-func-result-func-v-epsilon" tabindex="-1"><em><strong>var</strong></em> <code>result_func = get_partial_derivative_func(result_func, v, epsilon)</code> <a class="header-anchor" href="#var-result-func-get-partial-derivative-func-result-func-v-epsilon" aria-label="Permalink to "***var*** \`result_func = get_partial_derivative_func(result_func, v, epsilon)\`""></a></h3>`,27),h=[t];function p(e,k,r,E,d,g){return a(),i("div",null,h)}const y=s(l,[["render",p]]);export{u as __pageData,y as default};
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@ -1 +0,0 @@
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|||||||
import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"zh-Hant/api/mp_math/equation.md","filePath":"zh-Hant/api/mp_math/equation.md"}'),l={name:"zh-Hant/api/mp_math/equation.md"},t=n("",27),h=[t];function p(e,k,r,E,d,g){return a(),i("div",null,h)}const y=s(l,[["render",p]]);export{u as __pageData,y as default};
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@ -1 +0,0 @@
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import{_ as t,c as a,o as e}from"./chunks/framework.BV61Qrc0.js";const d=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math"},"headers":[],"relativePath":"zh-Hant/api/mp_math/index.md","filePath":"zh-Hant/api/mp_math/index.md"}'),n={name:"zh-Hant/api/mp_math/index.md"};function m(p,i,r,c,o,s){return e(),a("div")}const h=t(n,[["render",m]]);export{d as __pageData,h as default};
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import{_ as t,c as a,o as e}from"./chunks/framework.BV61Qrc0.js";const d=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math"},"headers":[],"relativePath":"zh-Hant/api/mp_math/index.md","filePath":"zh-Hant/api/mp_math/index.md"}'),n={name:"zh-Hant/api/mp_math/index.md"};function m(p,i,r,c,o,s){return e(),a("div")}const h=t(n,[["render",m]]);export{d as __pageData,h as default};
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import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const g=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"zh-Hant/api/mp_math/line.md","filePath":"zh-Hant/api/mp_math/line.md"}'),l={name:"zh-Hant/api/mp_math/line.md"},t=n(`<h3 id="class-line3" tabindex="-1"><em><strong>class</strong></em> <code>Line3</code> <a class="header-anchor" href="#class-line3" aria-label="Permalink to "***class*** \`Line3\`""></a></h3><h3 id="def-init-self-point-point3-direction-vector3" tabindex="-1"><em>def</em> <code>__init__(self, point: 'Point3', direction: 'Vector3')</code> <a class="header-anchor" href="#def-init-self-point-point3-direction-vector3" aria-label="Permalink to "*def* \`__init__(self, point: 'Point3', direction: 'Vector3')\`""></a></h3><p>三维空间中的直线。由一个点和一个方向向量确定。</p><p>參數:</p><ul><li><p>point: 直线上的一点</p></li><li><p>direction: 直线的方向向量</p></li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, direction: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<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>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> point: 直线上的一点</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> direction: 直线的方向向量</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<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>
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||||||
<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><h3 id="def-approx-self-other-line3-epsilon-float-approx-bool" tabindex="-1"><em>def</em> <code>approx(self, other: 'Line3', epsilon: float = APPROX) -> bool</code> <a class="header-anchor" href="#def-approx-self-other-line3-epsilon-float-approx-bool" aria-label="Permalink to "*def* \`approx(self, other: 'Line3', epsilon: float = APPROX) -> bool\`""></a></h3><p>判断两条直线是否近似相等。</p><p>參數:</p><ul><li><p>other: 另一条直线</p></li><li><p>epsilon: 误差</p></li></ul><p>返回:</p><ul><li>是否近似相等</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> approx</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<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>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一条直线</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon: 误差</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否近似相等</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<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><h3 id="def-cal-angle-self-other-line3-anyangle" tabindex="-1"><em>def</em> <code>cal_angle(self, other: 'Line3') -> 'AnyAngle'</code> <a class="header-anchor" href="#def-cal-angle-self-other-line3-anyangle" aria-label="Permalink to "*def* \`cal_angle(self, other: 'Line3') -> 'AnyAngle'\`""></a></h3><p>计算直线和直线之间的夹角。</p><p>參數:</p><ul><li>other: 另一条直线</li></ul><p>返回:</p><ul><li>夹角弧度</li></ul><p>引發:</p><ul><li>TypeError 不支持的类型</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_angle</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算直线和直线之间的夹角。</span></span>
|
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一条直线</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 夹角弧度</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Raises:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> TypeError: 不支持的类型</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.cal_angle(other.direction)</span></span></code></pre></div></details><h3 id="def-cal-distance-self-other-line3-point3-float" tabindex="-1"><em>def</em> <code>cal_distance(self, other: 'Line3 | Point3') -> float</code> <a class="header-anchor" href="#def-cal-distance-self-other-line3-point3-float" aria-label="Permalink to "*def* \`cal_distance(self, other: 'Line3 | Point3') -> float\`""></a></h3><p>计算直线和直线或点之间的距离。</p><p>參數:</p><ul><li>other: 平行直线或点</li></ul><p>返回:</p><ul><li>距离</li></ul><p>引發:</p><ul><li>TypeError 不支持的类型</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_distance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3 | Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算直线和直线或点之间的距离。</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 平行直线或点</span></span>
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||||||
<span class="line"></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 距离</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Raises:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> TypeError: 不支持的类型</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<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>
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||||||
<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>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
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||||||
<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>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (other.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point).cross(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction).length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.length</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> not</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.is_coplanar(other):</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.cross(other.direction) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">@</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.point) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.cross(other.direction).length)</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Point3):</span></span>
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||||||
<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>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Unsupported type.'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="def-cal-intersection-self-other-line3-point3" tabindex="-1"><em>def</em> <code>cal_intersection(self, other: 'Line3') -> 'Point3'</code> <a class="header-anchor" href="#def-cal-intersection-self-other-line3-point3" aria-label="Permalink to "*def* \`cal_intersection(self, other: 'Line3') -> 'Point3'\`""></a></h3><p>计算两条直线的交点。</p><p>參數:</p><ul><li>other: 另一条直线</li></ul><p>返回:</p><ul><li>交点</li></ul><p>引發:</p><ul><li><p>ValueError 直线平行</p></li><li><p>ValueError 直线不共面</p></li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_intersection</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算两条直线的交点。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一条直线</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 交点</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Raises:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ValueError: 直线平行</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ValueError: 直线不共面</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.is_parallel(other):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ValueError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Lines are parallel and do not intersect.'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> not</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.is_coplanar(other):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ValueError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Lines are not coplanar and do not intersect.'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.cross(other.direction) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">@</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.direction.cross(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.point) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.cross(other.direction).length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction</span></span></code></pre></div></details><h3 id="def-cal-perpendicular-self-point-point3-line3" tabindex="-1"><em>def</em> <code>cal_perpendicular(self, point: 'Point3') -> 'Line3'</code> <a class="header-anchor" href="#def-cal-perpendicular-self-point-point3-line3" aria-label="Permalink to "*def* \`cal_perpendicular(self, point: 'Point3') -> 'Line3'\`""></a></h3><p>计算直线经过指定点p的垂线。</p><p>參數:</p><ul><li>point: 指定点</li></ul><p>返回:</p><ul><li>垂线</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_perpendicular</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算直线经过指定点p的垂线。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> point: 指定点</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 垂线</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Line3(point, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.cross(point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point))</span></span></code></pre></div></details><h3 id="def-get-point-self-t-realnumber-point3" tabindex="-1"><em>def</em> <code>get_point(self, t: RealNumber) -> 'Point3'</code> <a class="header-anchor" href="#def-get-point-self-t-realnumber-point3" aria-label="Permalink to "*def* \`get_point(self, t: RealNumber) -> 'Point3'\`""></a></h3><p>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>參數:</p><ul><li>t: 参数t</li></ul><p>返回:</p><ul><li>点</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> get_point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, t: RealNumber) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 获取直线上的点。同一条直线，但起始点和方向向量不同，则同一个t对应的点不同。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> t: 参数t</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 点</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction</span></span></code></pre></div></details><h3 id="def-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" tabindex="-1"><em>def</em> <code>get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]</code> <a class="header-anchor" href="#def-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc" aria-label="Permalink to "*def* \`get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]\`""></a></h3><p>获取直线的参数方程。</p><p>返回:</p><ul><li>x(t), y(t), z(t)</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> get_parametric_equations</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 获取直线的参数方程。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> x(t), y(t), z(t)</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">lambda</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">lambda</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">lambda</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t)</span></span></code></pre></div></details><h3 id="def-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" tabindex="-1"><em>def</em> <code>is_approx_parallel(self, other: 'Line3', epsilon: float = 1e-06) -> bool</code> <a class="header-anchor" href="#def-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool" aria-label="Permalink to "*def* \`is_approx_parallel(self, other: 'Line3', epsilon: float = 1e-06) -> bool\`""></a></h3><p>判断两条直线是否近似平行。</p><p>參數:</p><ul><li><p>other: 另一条直线</p></li><li><p>epsilon: 误差</p></li></ul><p>返回:</p><ul><li>是否近似平行</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_approx_parallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1e-06</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两条直线是否近似平行。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一条直线</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon: 误差</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否近似平行</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.is_approx_parallel(other.direction, epsilon)</span></span></code></pre></div></details><h3 id="def-is-parallel-self-other-line3-bool" tabindex="-1"><em>def</em> <code>is_parallel(self, other: 'Line3') -> bool</code> <a class="header-anchor" href="#def-is-parallel-self-other-line3-bool" aria-label="Permalink to "*def* \`is_parallel(self, other: 'Line3') -> bool\`""></a></h3><p>判断两条直线是否平行。</p><p>參數:</p><ul><li>other: 另一条直线</li></ul><p>返回:</p><ul><li>是否平行</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_parallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两条直线是否平行。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一条直线</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否平行</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.is_parallel(other.direction)</span></span></code></pre></div></details><h3 id="def-is-collinear-self-other-line3-bool" tabindex="-1"><em>def</em> <code>is_collinear(self, other: 'Line3') -> bool</code> <a class="header-anchor" href="#def-is-collinear-self-other-line3-bool" aria-label="Permalink to "*def* \`is_collinear(self, other: 'Line3') -> bool\`""></a></h3><p>判断两条直线是否共线。</p><p>參數:</p><ul><li>other: 另一条直线</li></ul><p>返回:</p><ul><li>是否共线</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_collinear</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两条直线是否共线。</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一条直线</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否共线</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<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><h3 id="def-is-point-on-self-point-point3-bool" tabindex="-1"><em>def</em> <code>is_point_on(self, point: 'Point3') -> bool</code> <a class="header-anchor" href="#def-is-point-on-self-point-point3-bool" aria-label="Permalink to "*def* \`is_point_on(self, point: 'Point3') -> bool\`""></a></h3><p>判断点是否在直线上。</p><p>參數:</p><ul><li>point: 点</li></ul><p>返回:</p><ul><li>是否在直线上</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_point_on</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断点是否在直线上。</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> point: 点</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否在直线上</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<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><h3 id="def-is-coplanar-self-other-line3-bool" tabindex="-1"><em>def</em> <code>is_coplanar(self, other: 'Line3') -> bool</code> <a class="header-anchor" href="#def-is-coplanar-self-other-line3-bool" aria-label="Permalink to "*def* \`is_coplanar(self, other: 'Line3') -> bool\`""></a></h3><p>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>參數:</p><ul><li>other: 另一条直线</li></ul><p>返回:</p><ul><li>是否共面</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_coplanar</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两条直线是否共面。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 充要条件：两直线方向向量的叉乘与两直线上任意一点的向量的点积为0。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一条直线</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否共面</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.cross(other.direction) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">@</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.point) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span></code></pre></div></details><h3 id="def-simplify-self" tabindex="-1"><em>def</em> <code>simplify(self)</code> <a class="header-anchor" href="#def-simplify-self" aria-label="Permalink to "*def* \`simplify(self)\`""></a></h3><p>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>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 简化直线方程，等价相等。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 自体简化，不返回值。</span></span>
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|
||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 按照可行性一次对x y z 化 0 处理，并对向量单位化</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.normalize()</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
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|
||||||
<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><h3 id="classmethod" tabindex="-1"><code>@classmethod</code> <a class="header-anchor" href="#classmethod" aria-label="Permalink to "\`@classmethod\`""></a></h3><h3 id="def-from-two-points-cls-p1-point3-p2-point3-line3" tabindex="-1"><em>def</em> <code>from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3'</code> <a class="header-anchor" href="#def-from-two-points-cls-p1-point3-p2-point3-line3" aria-label="Permalink to "*def* \`from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3'\`""></a></h3><p>工厂函数 由两点构造直线。</p><p>參數:</p><ul><li><p>p1: 点1</p></li><li><p>p2: 点2</p></li></ul><p>返回:</p><ul><li>直线</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">classmethod</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> from_two_points</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cls, p1: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, p2: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 工厂函数 由两点构造直线。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> p1: 点1</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> p2: 点2</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 直线</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> direction </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p1</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> cls</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1, direction)</span></span></code></pre></div></details><h3 id="def-and-self-other-line3-line3-point3-none" tabindex="-1"><em>def</em> <code>__and__(self, other: 'Line3') -> 'Line3 | Point3 | None'</code> <a class="header-anchor" href="#def-and-self-other-line3-line3-point3-none" aria-label="Permalink to "*def* \`__and__(self, other: 'Line3') -> 'Line3 | Point3 | None'\`""></a></h3><p>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>參數:</p><ul><li>other: 另一条直线</li></ul><p>返回:</p><ul><li>交点</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __and__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3 | Point3 | None'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一条直线</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 交点</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.is_collinear(other):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.is_parallel(other) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">or</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> not</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.is_coplanar(other):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> None</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cal_intersection(other)</span></span></code></pre></div></details><h3 id="def-eq-self-other-bool" tabindex="-1"><em>def</em> <code>__eq__(self, other) -> bool</code> <a class="header-anchor" href="#def-eq-self-other-bool" aria-label="Permalink to "*def* \`__eq__(self, other) -> bool\`""></a></h3><p>判断两条直线是否等价。</p><p>v1 // v2 ∧ (p1 - p2) // v1</p><p>參數:</p><ul><li>other:</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两条直线是否等价。</span></span>
|
|
||||||
<span class="line"></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> v1 // v2 ∧ (p1 - p2) // v1</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
|
|
||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.is_parallel(other.direction) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.point).is_parallel(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction)</span></span></code></pre></div></details><h3 id="def-str-self" tabindex="-1"><em>def</em> <code>__str__(self)</code> <a class="header-anchor" href="#def-str-self" aria-label="Permalink to "*def* \`__str__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> __str__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 返回点向式（x-x0）</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> s </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> '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:#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:#24292E;--shiki-dark:#E1E4E8;"> s </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'(x</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">sign_format(</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.x)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">)/</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:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> s </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">' = (y</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">sign_format(</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.y)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">)/</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:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.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:#24292E;--shiki-dark:#E1E4E8;"> s </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">' = (z</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">sign_format(</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.z)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">)/</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:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> s</span></span></code></pre></div></details><h3 id="def-repr-self" tabindex="-1"><em>def</em> <code>__repr__(self)</code> <a class="header-anchor" href="#def-repr-self" aria-label="Permalink to "*def* \`__repr__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> __repr__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3(</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:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.direction</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">)'</span></span></code></pre></div></details>`,123),h=[t];function p(e,k,r,d,o,F){return a(),i("div",null,h)}const y=s(l,[["render",p]]);export{g as __pageData,y as default};
|
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||||||
@ -1 +0,0 @@
|
|||||||
import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const g=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"zh-Hant/api/mp_math/line.md","filePath":"zh-Hant/api/mp_math/line.md"}'),l={name:"zh-Hant/api/mp_math/line.md"},t=n("",123),h=[t];function p(e,k,r,d,o,F){return a(),i("div",null,h)}const y=s(l,[["render",p]]);export{g as __pageData,y as default};
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import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.BV61Qrc0.js";const m=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"zh-Hant/api/mp_math/mp_math_typing.md","filePath":"zh-Hant/api/mp_math/mp_math_typing.md"}'),n={name:"zh-Hant/api/mp_math/mp_math_typing.md"},i=l("",17),s=[i];function t(o,c,u,y,v,g){return e(),r("div",null,s)}const d=a(n,[["render",t]]);export{m as __pageData,d as default};
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|
|||||||
import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"zh-Hant/api/mp_math/plane.md","filePath":"zh-Hant/api/mp_math/plane.md"}'),l={name:"zh-Hant/api/mp_math/plane.md"},h=n(`<h3 id="class-plane3" tabindex="-1"><em><strong>class</strong></em> <code>Plane3</code> <a class="header-anchor" href="#class-plane3" aria-label="Permalink to "***class*** \`Plane3\`""></a></h3><h3 id="def-init-self-a-float-b-float-c-float-d-float" tabindex="-1"><em>def</em> <code>__init__(self, a: float, b: float, c: float, d: float)</code> <a class="header-anchor" href="#def-init-self-a-float-b-float-c-float-d-float" aria-label="Permalink to "*def* \`__init__(self, a: float, b: float, c: float, d: float)\`""></a></h3><p>平面方程：ax + by + cz + d = 0</p><p>參數:</p><ul><li><p>a:</p></li><li><p>b:</p></li><li><p>c:</p></li><li><p>d:</p></li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, a: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, b: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, c: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, d: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 平面方程：ax + by + cz + d = 0</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> a:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> b:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> c:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> d:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> a</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> b</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> c</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> d</span></span></code></pre></div></details><h3 id="def-approx-self-other-plane3-bool" tabindex="-1"><em>def</em> <code>approx(self, other: 'Plane3') -> bool</code> <a class="header-anchor" href="#def-approx-self-other-plane3-bool" aria-label="Permalink to "*def* \`approx(self, other: 'Plane3') -> bool\`""></a></h3><p>判断两个平面是否近似相等。</p><p>參數:</p><ul><li>other:</li></ul><p>返回:</p><ul><li>是否近似相等</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> approx</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Plane3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两个平面是否近似相等。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
|
|
||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否近似相等</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 3</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.b, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.c, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.d, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k)</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.a, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.c, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.d, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k)</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.a, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.b, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(other.d, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> k)</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> False</span></span></code></pre></div></details><h3 id="def-cal-angle-self-other-line3-plane3-anyangle" tabindex="-1"><em>def</em> <code>cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle'</code> <a class="header-anchor" href="#def-cal-angle-self-other-line3-plane3-anyangle" aria-label="Permalink to "*def* \`cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle'\`""></a></h3><p>计算平面与平面之间的夹角。</p><p>參數:</p><ul><li>other: 另一个平面</li></ul><p>返回:</p><ul><li>夹角弧度</li></ul><p>引發:</p><ul><li>TypeError 不支持的类型</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_angle</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3 | Plane3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算平面与平面之间的夹角。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一个平面</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 夹角弧度</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Raises:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> TypeError: 不支持的类型</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Line3):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal.cal_angle(other.direction).complementary</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Plane3):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(math.acos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">@</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.normal </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal.length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.normal.length)), </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Unsupported type: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="def-cal-distance-self-other-plane3-point3-float" tabindex="-1"><em>def</em> <code>cal_distance(self, other: 'Plane3 | Point3') -> float</code> <a class="header-anchor" href="#def-cal-distance-self-other-plane3-point3-float" aria-label="Permalink to "*def* \`cal_distance(self, other: 'Plane3 | Point3') -> float\`""></a></h3><p>计算平面与平面或点之间的距离。</p><p>參數:</p><ul><li>other: 另一个平面或点</li></ul><p>返回:</p><ul><li>距离</li></ul><p>引發:</p><ul><li>TypeError 不支持的类型</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_distance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Plane3 | Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算平面与平面或点之间的距离。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一个平面或点</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 距离</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Raises:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> TypeError: 不支持的类型</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Plane3):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Point3):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0.5</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Unsupported type: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="def-cal-intersection-line3-self-other-plane3-line3" tabindex="-1"><em>def</em> <code>cal_intersection_line3(self, other: 'Plane3') -> 'Line3'</code> <a class="header-anchor" href="#def-cal-intersection-line3-self-other-plane3-line3" aria-label="Permalink to "*def* \`cal_intersection_line3(self, other: 'Plane3') -> 'Line3'\`""></a></h3><p>计算两平面的交线。该方法有问题，待修复。</p><p>參數:</p><ul><li>other: 另一个平面</li></ul><p>返回:</p><ul><li>交线</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_intersection_line3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Plane3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算两平面的交线。该方法有问题，待修复。</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一个平面</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 交线</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Raises:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal.is_parallel(other.normal):</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ValueError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Planes are parallel and have no intersection.'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
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||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> direction </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal.cross(other.normal)</span></span>
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||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, y, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> A </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c], [other.b, other.c]])</span></span>
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||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> B </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">other.d])</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.linalg.solve(A, B)</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> A </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c], [other.a, other.c]])</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> B </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">other.d])</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.linalg.solve(A, B)</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> A </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b], [other.a, other.b]])</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> B </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">other.d])</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.linalg.solve(A, B)</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Line3(Point3(x, y, z), direction)</span></span></code></pre></div></details><h3 id="def-cal-intersection-point3-self-other-line3-point3" tabindex="-1"><em>def</em> <code>cal_intersection_point3(self, other: 'Line3') -> 'Point3'</code> <a class="header-anchor" href="#def-cal-intersection-point3-self-other-line3-point3" aria-label="Permalink to "*def* \`cal_intersection_point3(self, other: 'Line3') -> 'Point3'\`""></a></h3><p>计算平面与直线的交点。</p><p>參數:</p><ul><li>other: 不与平面平行或在平面上的直线</li></ul><p>返回:</p><ul><li>交点</li></ul><p>引發:</p><ul><li>ValueError 平面与直线平行或重合</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_intersection_point3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算平面与直线的交点。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 不与平面平行或在平面上的直线</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 交点</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Raises:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ValueError: 平面与直线平行或重合</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">@</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.direction </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ValueError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'The plane and the line are parallel or coincident.'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x, y, z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.get_parametric_equations()</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> t </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.point.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.point.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.point.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.direction.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.direction.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.direction.z)</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(x(t), y(t), z(t))</span></span></code></pre></div></details><h3 id="def-cal-parallel-plane3-self-point-point3-plane3" tabindex="-1"><em>def</em> <code>cal_parallel_plane3(self, point: 'Point3') -> 'Plane3'</code> <a class="header-anchor" href="#def-cal-parallel-plane3-self-point-point3-plane3" aria-label="Permalink to "*def* \`cal_parallel_plane3(self, point: 'Point3') -> 'Plane3'\`""></a></h3><p>计算平行于该平面且过指定点的平面。</p><p>參數:</p><ul><li>point: 指定点</li></ul><p>返回:</p><ul><li>平面</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_parallel_plane3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Plane3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算平行于该平面且过指定点的平面。</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> point: 指定点</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 平面</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Plane3.from_point_and_normal(point, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal)</span></span></code></pre></div></details><h3 id="def-is-parallel-self-other-plane3-bool" tabindex="-1"><em>def</em> <code>is_parallel(self, other: 'Plane3') -> bool</code> <a class="header-anchor" href="#def-is-parallel-self-other-plane3-bool" aria-label="Permalink to "*def* \`is_parallel(self, other: 'Plane3') -> bool\`""></a></h3><p>判断两个平面是否平行。</p><p>參數:</p><ul><li>other: 另一个平面</li></ul><p>返回:</p><ul><li>是否平行</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_parallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Plane3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两个平面是否平行。</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一个平面</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否平行</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal.is_parallel(other.normal)</span></span></code></pre></div></details><h3 id="property" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-normal-self-vector3" tabindex="-1"><em>def</em> <code>normal(self) -> 'Vector3'</code> <a class="header-anchor" href="#def-normal-self-vector3" aria-label="Permalink to "*def* \`normal(self) -> 'Vector3'\`""></a></h3><p>平面的法向量。</p><p>返回:</p><ul><li>法向量</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> normal</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 平面的法向量。</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 法向量</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c)</span></span></code></pre></div></details><h3 id="classmethod" tabindex="-1"><code>@classmethod</code> <a class="header-anchor" href="#classmethod" aria-label="Permalink to "\`@classmethod\`""></a></h3><h3 id="def-from-point-and-normal-cls-point-point3-normal-vector3-plane3" tabindex="-1"><em>def</em> <code>from_point_and_normal(cls, point: 'Point3', normal: 'Vector3') -> 'Plane3'</code> <a class="header-anchor" href="#def-from-point-and-normal-cls-point-point3-normal-vector3-plane3" aria-label="Permalink to "*def* \`from_point_and_normal(cls, point: 'Point3', normal: 'Vector3') -> 'Plane3'\`""></a></h3><p>工厂函数 由点和法向量构造平面(点法式构造)。</p><p>參數:</p><ul><li><p>point: 平面上的一点</p></li><li><p>normal: 法向量</p></li></ul><p>返回:</p><ul><li>平面</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> from_point_and_normal</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cls, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, normal: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Plane3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 工厂函数 由点和法向量构造平面(点法式构造)。</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> point: 平面上的一点</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> normal: 法向量</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 平面</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> a, b, c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (normal.x, normal.y, normal.z)</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> d </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> point.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> point.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> point.z</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> cls</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a, b, c, d)</span></span></code></pre></div></details><h3 id="classmethod-1" tabindex="-1"><code>@classmethod</code> <a class="header-anchor" href="#classmethod-1" aria-label="Permalink to "\`@classmethod\`""></a></h3><h3 id="def-from-three-points-cls-p1-point3-p2-point3-p3-point3-plane3" tabindex="-1"><em>def</em> <code>from_three_points(cls, p1: 'Point3', p2: 'Point3', p3: 'Point3') -> 'Plane3'</code> <a class="header-anchor" href="#def-from-three-points-cls-p1-point3-p2-point3-p3-point3-plane3" aria-label="Permalink to "*def* \`from_three_points(cls, p1: 'Point3', p2: 'Point3', p3: 'Point3') -> 'Plane3'\`""></a></h3><p>工厂函数 由三点构造平面。</p><p>參數:</p><ul><li><p>p1: 点1</p></li><li><p>p2: 点2</p></li><li><p>p3: 点3</p></li></ul><p>返回:</p><ul><li>平面</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">classmethod</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> from_three_points</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cls, p1: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, p2: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, p3: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Plane3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 工厂函数 由三点构造平面。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> p1: 点1</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> p2: 点2</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> p3: 点3</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 平面</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p1</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p3 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p1</span></span>
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||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> normal </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v1.cross(v2)</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> cls</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.from_point_and_normal(p1, normal)</span></span></code></pre></div></details><h3 id="classmethod-2" tabindex="-1"><code>@classmethod</code> <a class="header-anchor" href="#classmethod-2" aria-label="Permalink to "\`@classmethod\`""></a></h3><h3 id="def-from-two-lines-cls-l1-line3-l2-line3-plane3" tabindex="-1"><em>def</em> <code>from_two_lines(cls, l1: 'Line3', l2: 'Line3') -> 'Plane3'</code> <a class="header-anchor" href="#def-from-two-lines-cls-l1-line3-l2-line3-plane3" aria-label="Permalink to "*def* \`from_two_lines(cls, l1: 'Line3', l2: 'Line3') -> 'Plane3'\`""></a></h3><p>工厂函数 由两直线构造平面。</p><p>參數:</p><ul><li><p>l1: 直线1</p></li><li><p>l2: 直线2</p></li></ul><p>返回:</p><ul><li>平面</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> from_two_lines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cls, l1: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, l2: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Plane3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 工厂函数 由两直线构造平面。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> l1: 直线1</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> l2: 直线2</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 平面</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> l1.direction</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> l2.point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> l1.point</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> zero_vector3:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> v2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> l2.get_point(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> l1.point</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> cls</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.from_point_and_normal(l1.point, v1.cross(v2))</span></span></code></pre></div></details><h3 id="classmethod-3" tabindex="-1"><code>@classmethod</code> <a class="header-anchor" href="#classmethod-3" aria-label="Permalink to "\`@classmethod\`""></a></h3><h3 id="def-from-point-and-line-cls-point-point3-line-line3-plane3" tabindex="-1"><em>def</em> <code>from_point_and_line(cls, point: 'Point3', line: 'Line3') -> 'Plane3'</code> <a class="header-anchor" href="#def-from-point-and-line-cls-point-point3-line-line3-plane3" aria-label="Permalink to "*def* \`from_point_and_line(cls, point: 'Point3', line: 'Line3') -> 'Plane3'\`""></a></h3><p>工厂函数 由点和直线构造平面。</p><p>參數:</p><ul><li><p>point: 面上一点</p></li><li><p>line: 面上直线，不包含点</p></li></ul><p>返回:</p><ul><li>平面</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> from_point_and_line</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cls, point: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, line: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Plane3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 工厂函数 由点和直线构造平面。</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> point: 面上一点</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> line: 面上直线，不包含点</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 平面</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> cls</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.from_point_and_normal(point, line.direction)</span></span></code></pre></div></details><h3 id="def-repr-self" tabindex="-1"><em>def</em> <code>__repr__(self)</code> <a class="header-anchor" href="#def-repr-self" aria-label="Permalink to "*def* \`__repr__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> __repr__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
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||||||
<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;">'Plane3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">)'</span></span></code></pre></div></details><h3 id="def-str-self" tabindex="-1"><em>def</em> <code>__str__(self)</code> <a class="header-anchor" href="#def-str-self" aria-label="Permalink to "*def* \`__str__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> __str__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> s </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 'Plane3: '</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> s </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">sign(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">only_neg</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 style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}{abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.a)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">x'</span></span>
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|
||||||
<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;">.b </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> s </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">' </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">sign(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.b)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</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;">.b)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">y'</span></span>
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|
||||||
<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;">.c </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> s </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">' </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">sign(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.c)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</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;">.c)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">z'</span></span>
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|
||||||
<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;">.d </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> s </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">' </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">sign(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.d)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</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;">.d)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> s </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ' = 0'</span></span></code></pre></div></details><h3 id="overload" tabindex="-1"><code>@overload</code> <a class="header-anchor" href="#overload" aria-label="Permalink to "\`@overload\`""></a></h3><h3 id="def-and-self-other-line3-point3-none" tabindex="-1"><em>def</em> <code>__and__(self, other: 'Line3') -> 'Point3 | None'</code> <a class="header-anchor" href="#def-and-self-other-line3-point3-none" aria-label="Permalink to "*def* \`__and__(self, other: 'Line3') -> 'Point3 | None'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __and__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3 | None'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h3 id="overload-1" tabindex="-1"><code>@overload</code> <a class="header-anchor" href="#overload-1" aria-label="Permalink to "\`@overload\`""></a></h3><h3 id="def-and-self-other-plane3-line3-none" tabindex="-1"><em>def</em> <code>__and__(self, other: 'Plane3') -> 'Line3 | None'</code> <a class="header-anchor" href="#def-and-self-other-plane3-line3-none" aria-label="Permalink to "*def* \`__and__(self, other: 'Plane3') -> 'Line3 | None'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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|
||||||
<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;">'Plane3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3 | None'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h3 id="def-and-self-other" tabindex="-1"><em>def</em> <code>__and__(self, other)</code> <a class="header-anchor" href="#def-and-self-other" aria-label="Permalink to "*def* \`__and__(self, other)\`""></a></h3><p>取两平面的交集（人话：交线）</p><p>參數:</p><ul><li>other:</li></ul><p>返回:</p><ul><li>不平行平面的交线，平面平行返回None</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 取两平面的交集（人话：交线）</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 不平行平面的交线，平面平行返回None</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Plane3):</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal.is_parallel(other.normal):</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> None</span></span>
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||||||
<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_line3(other)</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Line3):</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.normal </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">@</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.direction </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> None</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cal_intersection_point3(other)</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">"unsupported operand type(s) for &: 'Plane3' 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;">'"</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="def-eq-self-other-bool" tabindex="-1"><em>def</em> <code>__eq__(self, other) -> bool</code> <a class="header-anchor" href="#def-eq-self-other-bool" aria-label="Permalink to "*def* \`__eq__(self, other) -> bool\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.approx(other)</span></span></code></pre></div></details><h3 id="def-rand-self-other-line3-point3" tabindex="-1"><em>def</em> <code>__rand__(self, other: 'Line3') -> 'Point3'</code> <a class="header-anchor" href="#def-rand-self-other-line3-point3" aria-label="Permalink to "*def* \`__rand__(self, other: 'Line3') -> 'Point3'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __rand__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Line3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cal_intersection_point3(other)</span></span></code></pre></div></details><h3 id="var-k-other-a-self-a" tabindex="-1"><em><strong>var</strong></em> <code>k = other.a / self.a</code> <a class="header-anchor" href="#var-k-other-a-self-a" aria-label="Permalink to "***var*** \`k = other.a / self.a\`""></a></h3><h3 id="var-a-np-array-self-b-self-c-other-b-other-c" tabindex="-1"><em><strong>var</strong></em> <code>A = np.array([[self.b, self.c], [other.b, other.c]])</code> <a class="header-anchor" href="#var-a-np-array-self-b-self-c-other-b-other-c" aria-label="Permalink to "***var*** \`A = np.array([[self.b, self.c], [other.b, other.c]])\`""></a></h3><h3 id="var-b-np-array-self-d-other-d" tabindex="-1"><em><strong>var</strong></em> <code>B = np.array([-self.d, -other.d])</code> <a class="header-anchor" href="#var-b-np-array-self-d-other-d" aria-label="Permalink to "***var*** \`B = np.array([-self.d, -other.d])\`""></a></h3><h3 id="var-v2-l2-get-point-1-l1-point" tabindex="-1"><em><strong>var</strong></em> <code>v2 = l2.get_point(1) - l1.point</code> <a class="header-anchor" href="#var-v2-l2-get-point-1-l1-point" aria-label="Permalink to "***var*** \`v2 = l2.get_point(1) - l1.point\`""></a></h3><h3 id="var-k-other-b-self-b" tabindex="-1"><em><strong>var</strong></em> <code>k = other.b / self.b</code> <a class="header-anchor" href="#var-k-other-b-self-b" aria-label="Permalink to "***var*** \`k = other.b / self.b\`""></a></h3><h3 id="var-a-np-array-self-a-self-c-other-a-other-c" tabindex="-1"><em><strong>var</strong></em> <code>A = np.array([[self.a, self.c], [other.a, other.c]])</code> <a class="header-anchor" href="#var-a-np-array-self-a-self-c-other-a-other-c" aria-label="Permalink to "***var*** \`A = np.array([[self.a, self.c], [other.a, other.c]])\`""></a></h3><h3 id="var-b-np-array-self-d-other-d-1" tabindex="-1"><em><strong>var</strong></em> <code>B = np.array([-self.d, -other.d])</code> <a class="header-anchor" href="#var-b-np-array-self-d-other-d-1" aria-label="Permalink to "***var*** \`B = np.array([-self.d, -other.d])\`""></a></h3><h3 id="var-k-other-c-self-c" tabindex="-1"><em><strong>var</strong></em> <code>k = other.c / self.c</code> <a class="header-anchor" href="#var-k-other-c-self-c" aria-label="Permalink to "***var*** \`k = other.c / self.c\`""></a></h3><h3 id="var-a-np-array-self-a-self-b-other-a-other-b" tabindex="-1"><em><strong>var</strong></em> <code>A = np.array([[self.a, self.b], [other.a, other.b]])</code> <a class="header-anchor" href="#var-a-np-array-self-a-self-b-other-a-other-b" aria-label="Permalink to "***var*** \`A = np.array([[self.a, self.b], [other.a, other.b]])\`""></a></h3><h3 id="var-b-np-array-self-d-other-d-2" tabindex="-1"><em><strong>var</strong></em> <code>B = np.array([-self.d, -other.d])</code> <a class="header-anchor" href="#var-b-np-array-self-d-other-d-2" aria-label="Permalink to "***var*** \`B = np.array([-self.d, -other.d])\`""></a></h3>`,130),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default};
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@ -1 +0,0 @@
|
|||||||
import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"zh-Hant/api/mp_math/plane.md","filePath":"zh-Hant/api/mp_math/plane.md"}'),l={name:"zh-Hant/api/mp_math/plane.md"},h=n("",130),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default};
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@ -1,52 +0,0 @@
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import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"zh-Hant/api/mp_math/point.md","filePath":"zh-Hant/api/mp_math/point.md"}'),t={name:"zh-Hant/api/mp_math/point.md"},l=n(`<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 "***class*** \`Point3\`""></a></h3><h3 id="def-init-self-x-float-y-float-z-float" tabindex="-1"><em>def</em> <code>__init__(self, x: float, y: float, z: float)</code> <a class="header-anchor" href="#def-init-self-x-float-y-float-z-float" aria-label="Permalink to "*def* \`__init__(self, x: float, y: float, z: float)\`""></a></h3><p>笛卡尔坐标系中的点。</p><p>參數:</p><ul><li><p>x: x 坐标</p></li><li><p>y: y 坐标</p></li><li><p>z: z 坐标</p></li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 笛卡尔坐标系中的点。</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> x: x 坐标</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> y: y 坐标</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> z: z 坐标</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<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>
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||||||
<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>
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||||||
<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><h3 id="def-approx-self-other-point3-epsilon-float-approx-bool" tabindex="-1"><em>def</em> <code>approx(self, other: 'Point3', epsilon: float = APPROX) -> bool</code> <a class="header-anchor" href="#def-approx-self-other-point3-epsilon-float-approx-bool" aria-label="Permalink to "*def* \`approx(self, other: 'Point3', epsilon: float = APPROX) -> bool\`""></a></h3><p>判断两个点是否近似相等。</p><p>參數:</p><ul><li><p>other:</p></li><li><p>epsilon:</p></li></ul><p>返回:</p><ul><li>是否近似相等</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两个点是否近似相等。</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon:</span></span>
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||||||
<span class="line"></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否近似相等</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 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;"><</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;"><</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;"><</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon])</span></span></code></pre></div></details><h3 id="def-str-self" tabindex="-1"><em>def</em> <code>__str__(self)</code> <a class="header-anchor" href="#def-str-self" aria-label="Permalink to "*def* \`__str__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> __str__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
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||||||
<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;">'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:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">, </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:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">)'</span></span></code></pre></div></details><h3 id="overload" tabindex="-1"><code>@overload</code> <a class="header-anchor" href="#overload" aria-label="Permalink to "\`@overload\`""></a></h3><h3 id="def-add-self-other-vector3-point3" tabindex="-1"><em>def</em> <code>__add__(self, other: 'Vector3') -> 'Point3'</code> <a class="header-anchor" href="#def-add-self-other-vector3-point3" aria-label="Permalink to "*def* \`__add__(self, other: 'Vector3') -> 'Point3'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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<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;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h3 id="overload-1" tabindex="-1"><code>@overload</code> <a class="header-anchor" href="#overload-1" aria-label="Permalink to "\`@overload\`""></a></h3><h3 id="def-add-self-other-point3-point3" tabindex="-1"><em>def</em> <code>__add__(self, other: 'Point3') -> 'Point3'</code> <a class="header-anchor" href="#def-add-self-other-point3-point3" aria-label="Permalink to "*def* \`__add__(self, other: 'Point3') -> 'Point3'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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<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;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h3 id="def-add-self-other" tabindex="-1"><em>def</em> <code>__add__(self, other)</code> <a class="header-anchor" href="#def-add-self-other" aria-label="Permalink to "*def* \`__add__(self, other)\`""></a></h3><p>P + V -> P P + P -> P</p><p>參數:</p><ul><li>other:</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> P + V -> P</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> P + P -> P</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<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><h3 id="def-eq-self-other" tabindex="-1"><em>def</em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#def-eq-self-other" aria-label="Permalink to "*def* \`__eq__(self, other)\`""></a></h3><p>判断两个点是否相等。</p><p>參數:</p><ul><li>other:</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> """</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>
|
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
|
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<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><h3 id="def-sub-self-other-point3-vector3" tabindex="-1"><em>def</em> <code>__sub__(self, other: 'Point3') -> 'Vector3'</code> <a class="header-anchor" href="#def-sub-self-other-point3-vector3" aria-label="Permalink to "*def* \`__sub__(self, other: 'Point3') -> 'Vector3'\`""></a></h3><p>P - P -> V</p><p>P - V -> P 已在 :class:<code>Vector3</code> 中实现</p><p>參數:</p><ul><li>other:</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> P - P -> V</span></span>
|
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||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> P - V -> P 已在 :class:\`Vector3\` 中实现</span></span>
|
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
|
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
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||||||
<span class="line"></span>
|
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
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||||||
<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>
|
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||||||
<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>`,37),h=[l];function e(p,k,d,r,o,E){return a(),i("div",null,h)}const y=s(t,[["render",e]]);export{F as __pageData,y as default};
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@ -1 +0,0 @@
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import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"zh-Hant/api/mp_math/point.md","filePath":"zh-Hant/api/mp_math/point.md"}'),t={name:"zh-Hant/api/mp_math/point.md"},l=n("",37),h=[l];function e(p,k,d,r,o,E){return a(),i("div",null,h)}const y=s(t,[["render",e]]);export{F as __pageData,y as default};
|
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@ -1,16 +0,0 @@
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import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"zh-Hant/api/mp_math/segment.md","filePath":"zh-Hant/api/mp_math/segment.md"}'),t={name:"zh-Hant/api/mp_math/segment.md"},h=n(`<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 "***class*** \`Segment3\`""></a></h3><h3 id="def-init-self-p1-point3-p2-point3" tabindex="-1"><em>def</em> <code>__init__(self, p1: 'Point3', p2: 'Point3')</code> <a class="header-anchor" href="#def-init-self-p1-point3-p2-point3" aria-label="Permalink to "*def* \`__init__(self, p1: 'Point3', p2: 'Point3')\`""></a></h3><p>三维空间中的线段。 :param p1: :param p2:</p><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, p2: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 三维空间中的线段。</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> :param p1:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> :param p2:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<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>
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||||||
<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>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> '方向向量'</span></span>
|
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||||||
<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:#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:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.p1</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> '长度'</span></span>
|
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||||||
<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>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> '中心点'</span></span>
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<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><h3 id="def-repr-self" tabindex="-1"><em>def</em> <code>__repr__(self)</code> <a class="header-anchor" href="#def-repr-self" aria-label="Permalink to "*def* \`__repr__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> __repr__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
|
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<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;">'Segment3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.p1</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.p2</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">)'</span></span></code></pre></div></details><h3 id="def-str-self" tabindex="-1"><em>def</em> <code>__str__(self)</code> <a class="header-anchor" href="#def-str-self" aria-label="Permalink to "*def* \`__str__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> __str__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
|
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<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;">'Segment3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.p1</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.p2</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">)'</span></span></code></pre></div></details>`,8),p=[h];function l(e,k,d,r,E,g){return a(),i("div",null,p)}const o=s(t,[["render",l]]);export{y as __pageData,o as default};
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import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"zh-Hant/api/mp_math/segment.md","filePath":"zh-Hant/api/mp_math/segment.md"}'),t={name:"zh-Hant/api/mp_math/segment.md"},h=n("",8),p=[h];function l(e,k,d,r,E,g){return a(),i("div",null,p)}const o=s(t,[["render",l]]);export{y as __pageData,o as default};
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import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"zh-Hant/api/mp_math/utils.md","filePath":"zh-Hant/api/mp_math/utils.md"}'),l={name:"zh-Hant/api/mp_math/utils.md"},h=n(`<h3 id="def-clamp-float" tabindex="-1"><em>def</em> <code>clamp() -> float</code> <a class="header-anchor" href="#def-clamp-float" aria-label="Permalink to "*def* \`clamp() -> float\`""></a></h3><p>区间截断函数。</p><p>參數:</p><ul><li><p>x:</p></li><li><p>min_:</p></li><li><p>max_:</p></li></ul><p>返回:</p><ul><li>限制后的值</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 区间截断函数。</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:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> min_:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> max_:</span></span>
|
|
||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 限制后的值</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 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="def-approx-x-float-0-0-y-float-approx-bool" tabindex="-1"><em>def</em> <code>approx(x: float = 0.0, y: float = APPROX) -> bool</code> <a class="header-anchor" href="#def-approx-x-float-0-0-y-float-approx-bool" aria-label="Permalink to "*def* \`approx(x: float = 0.0, y: float = APPROX) -> bool\`""></a></h3><p>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>參數:</p><ul><li><p>x:</p></li><li><p>y:</p></li><li><p>epsilon:</p></li></ul><p>返回:</p><ul><li>是否近似相等</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两个数是否近似相等。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:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> y:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon:</span></span>
|
|
||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否近似相等</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> 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;"><</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span></code></pre></div></details><h3 id="def-sign-x-float-false-str" tabindex="-1"><em>def</em> <code>sign(x: float = False) -> str</code> <a class="header-anchor" href="#def-sign-x-float-false-str" aria-label="Permalink to "*def* \`sign(x: float = False) -> str\`""></a></h3><p>获取数的符号。</p><p>參數:</p><ul><li><p>x: 数</p></li><li><p>only_neg: 是否只返回负数的符号</p></li></ul><p>返回:</p><ul><li>符号 + - ""</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">) -> </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;"> """获取数的符号。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> x: 数</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> only_neg: 是否只返回负数的符号</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 符号 + - ""</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> 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:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> '+'</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;"> ''</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;"><</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;"> '-'</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;"> ''</span></span></code></pre></div></details><h3 id="def-sign-format-x-float-false-str" tabindex="-1"><em>def</em> <code>sign_format(x: float = False) -> str</code> <a class="header-anchor" href="#def-sign-format-x-float-false-str" aria-label="Permalink to "*def* \`sign_format(x: float = False) -> str\`""></a></h3><p>格式化符号数 -1 -> -1 1 -> +1 0 -> ""</p><p>參數:</p><ul><li><p>x: 数</p></li><li><p>only_neg: 是否只返回负数的符号</p></li></ul><p>返回:</p><ul><li>符号 + - ""</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">) -> </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;"> """格式化符号数</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> -1 -> -1</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 1 -> +1</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 0 -> ""</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> x: 数</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> only_neg: 是否只返回负数的符号</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 符号 + - ""</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> 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:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'+</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;">'</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;">'</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;">'</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;"><</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;">'-</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;">'</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;"> ''</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 "***class*** \`Approx\`""></a></h3><h3 id="def-init-self-value-realnumber" tabindex="-1"><em>def</em> <code>__init__(self, value: RealNumber)</code> <a class="header-anchor" href="#def-init-self-value-realnumber" aria-label="Permalink to "*def* \`__init__(self, value: RealNumber)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, value: RealNumber):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.value </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> value</span></span></code></pre></div></details><h3 id="def-eq-self-other" tabindex="-1"><em>def</em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#def-eq-self-other" aria-label="Permalink to "*def* \`__eq__(self, other)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.value, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.value </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"><</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> APPROX</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.raise_type_error(other)</span></span>
|
|
||||||
<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;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.value, Vector3):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, (Vector3, Point3, Plane3, Line3)):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> all</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.value.x, other.x), approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.value.y, other.y), approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.value.z, other.z)])</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.raise_type_error(other)</span></span></code></pre></div></details><h3 id="def-raise-type-error-self-other" tabindex="-1"><em>def</em> <code>raise_type_error(self, other)</code> <a class="header-anchor" href="#def-raise-type-error-self-other" aria-label="Permalink to "*def* \`raise_type_error(self, other)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">'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;">'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="def-ne-self-other" tabindex="-1"><em>def</em> <code>__ne__(self, other)</code> <a class="header-anchor" href="#def-ne-self-other" aria-label="Permalink to "*def* \`__ne__(self, other)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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>`,37),t=[h];function p(e,k,r,d,F,E){return a(),i("div",null,t)}const o=s(l,[["render",p]]);export{y as __pageData,o as default};
|
|
||||||
@ -1 +0,0 @@
|
|||||||
import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"zh-Hant/api/mp_math/utils.md","filePath":"zh-Hant/api/mp_math/utils.md"}'),l={name:"zh-Hant/api/mp_math/utils.md"},h=n("",37),t=[h];function p(e,k,r,d,F,E){return a(),i("div",null,t)}const o=s(l,[["render",p]]);export{y as __pageData,o as default};
|
|
||||||
@ -1,189 +0,0 @@
|
|||||||
import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"zh-Hant/api/mp_math/vector.md","filePath":"zh-Hant/api/mp_math/vector.md"}'),l={name:"zh-Hant/api/mp_math/vector.md"},t=n(`<h3 id="class-vector3" tabindex="-1"><em><strong>class</strong></em> <code>Vector3</code> <a class="header-anchor" href="#class-vector3" aria-label="Permalink to "***class*** \`Vector3\`""></a></h3><h3 id="def-init-self-x-float-y-float-z-float" tabindex="-1"><em>def</em> <code>__init__(self, x: float, y: float, z: float)</code> <a class="header-anchor" href="#def-init-self-x-float-y-float-z-float" aria-label="Permalink to "*def* \`__init__(self, x: float, y: float, z: float)\`""></a></h3><p>3维向量</p><p>參數:</p><ul><li><p>x: x轴分量</p></li><li><p>y: y轴分量</p></li><li><p>z: z轴分量</p></li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 3维向量</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> x: x轴分量</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> y: y轴分量</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> z: z轴分量</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.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><h3 id="def-approx-self-other-vector3-epsilon-float-approx-bool" tabindex="-1"><em>def</em> <code>approx(self, other: 'Vector3', epsilon: float = APPROX) -> bool</code> <a class="header-anchor" href="#def-approx-self-other-vector3-epsilon-float-approx-bool" aria-label="Permalink to "*def* \`approx(self, other: 'Vector3', epsilon: float = APPROX) -> bool\`""></a></h3><p>判断两个向量是否近似相等。</p><p>參數:</p><ul><li><p>other:</p></li><li><p>epsilon:</p></li></ul><p>返回:</p><ul><li>是否近似相等</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两个向量是否近似相等。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon:</span></span>
|
|
||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否近似相等</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> 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;"><</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;"><</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;"><</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon])</span></span></code></pre></div></details><h3 id="def-cal-angle-self-other-vector3-anyangle" tabindex="-1"><em>def</em> <code>cal_angle(self, other: 'Vector3') -> 'AnyAngle'</code> <a class="header-anchor" href="#def-cal-angle-self-other-vector3-anyangle" aria-label="Permalink to "*def* \`cal_angle(self, other: 'Vector3') -> 'AnyAngle'\`""></a></h3><p>计算两个向量之间的夹角。</p><p>參數:</p><ul><li>other: 另一个向量</li></ul><p>返回:</p><ul><li>夹角</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'AnyAngle'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算两个向量之间的夹角。</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一个向量</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 夹角</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(math.acos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> @</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.length)), </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="def-cross-self-other-vector3-vector3" tabindex="-1"><em>def</em> <code>cross(self, other: 'Vector3') -> 'Vector3'</code> <a class="header-anchor" href="#def-cross-self-other-vector3-vector3" aria-label="Permalink to "*def* \`cross(self, other: 'Vector3') -> 'Vector3'\`""></a></h3><p>向量积 叉乘：v1 cross v2 -> v3</p><p>叉乘为0，则两向量平行。 其余结果的模为平行四边形的面积。</p><p>參數:</p><ul><li>other:</li></ul><p>返回:</p><ul><li>行列式的结果</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cross</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 向量积 叉乘：v1 cross v2 -> v3</span></span>
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|
||||||
<span class="line"></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 叉乘为0，则两向量平行。</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 其余结果的模为平行四边形的面积。</span></span>
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|
||||||
<span class="line"></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 返回如下行列式的结果：</span></span>
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||||||
<span class="line"></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> \`\`i j k\`\`</span></span>
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||||||
<span class="line"></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> \`\`x1 y1 z1\`\`</span></span>
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||||||
<span class="line"></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> \`\`x2 y2 z2\`\`</span></span>
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|
||||||
<span class="line"></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 行列式的结果</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x)</span></span></code></pre></div></details><h3 id="def-is-approx-parallel-self-other-vector3-epsilon-float-approx-bool" tabindex="-1"><em>def</em> <code>is_approx_parallel(self, other: 'Vector3', epsilon: float = APPROX) -> bool</code> <a class="header-anchor" href="#def-is-approx-parallel-self-other-vector3-epsilon-float-approx-bool" aria-label="Permalink to "*def* \`is_approx_parallel(self, other: 'Vector3', epsilon: float = APPROX) -> bool\`""></a></h3><p>判断两个向量是否近似平行。</p><p>參數:</p><ul><li><p>other: 另一个向量</p></li><li><p>epsilon: 允许的误差</p></li></ul><p>返回:</p><ul><li>是否近似平行</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两个向量是否近似平行。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一个向量</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon: 允许的误差</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否近似平行</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cross(other).length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"><</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span></code></pre></div></details><h3 id="def-is-parallel-self-other-vector3-bool" tabindex="-1"><em>def</em> <code>is_parallel(self, other: 'Vector3') -> bool</code> <a class="header-anchor" href="#def-is-parallel-self-other-vector3-bool" aria-label="Permalink to "*def* \`is_parallel(self, other: 'Vector3') -> bool\`""></a></h3><p>判断两个向量是否平行。</p><p>參數:</p><ul><li>other: 另一个向量</li></ul><p>返回:</p><ul><li>是否平行</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两个向量是否平行。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一个向量</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否平行</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cross(other).approx(zero_vector3)</span></span></code></pre></div></details><h3 id="def-normalize-self" tabindex="-1"><em>def</em> <code>normalize(self)</code> <a class="header-anchor" href="#def-normalize-self" aria-label="Permalink to "*def* \`normalize(self)\`""></a></h3><p>将向量归一化。</p><p>自体归一化，不返回值。</p><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> normalize</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 将向量归一化。</span></span>
|
|
||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 自体归一化，不返回值。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span>
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||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length</span></span>
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||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length</span></span>
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||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length</span></span></code></pre></div></details><h3 id="property" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-np-array-self-np-ndarray" tabindex="-1"><em>def</em> <code>np_array(self) -> 'np.ndarray'</code> <a class="header-anchor" href="#def-np-array-self-np-ndarray" aria-label="Permalink to "*def* \`np_array(self) -> 'np.ndarray'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> np_array</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'np.ndarray'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 返回numpy数组</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z])</span></span></code></pre></div></details><h3 id="property-1" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property-1" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-length-self-float" tabindex="-1"><em>def</em> <code>length(self) -> float</code> <a class="header-anchor" href="#def-length-self-float" aria-label="Permalink to "*def* \`length(self) -> float\`""></a></h3><p>向量的模。</p><p>返回:</p><ul><li>模</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> length</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -> </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 向量的模。</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 模</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.sqrt(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="property-2" tabindex="-1"><code>@property</code> <a class="header-anchor" href="#property-2" aria-label="Permalink to "\`@property\`""></a></h3><h3 id="def-unit-self-vector3" tabindex="-1"><em>def</em> <code>unit(self) -> 'Vector3'</code> <a class="header-anchor" href="#def-unit-self-vector3" aria-label="Permalink to "*def* \`unit(self) -> 'Vector3'\`""></a></h3><p>获取该向量的单位向量。</p><p>返回:</p><ul><li>单位向量</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> unit</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 获取该向量的单位向量。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 单位向量</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span></code></pre></div></details><h3 id="def-abs-self" tabindex="-1"><em>def</em> <code>__abs__(self)</code> <a class="header-anchor" href="#def-abs-self" aria-label="Permalink to "*def* \`__abs__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __abs__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span></code></pre></div></details><h3 id="overload" tabindex="-1"><code>@overload</code> <a class="header-anchor" href="#overload" aria-label="Permalink to "\`@overload\`""></a></h3><h3 id="def-add-self-other-vector3-vector3" tabindex="-1"><em>def</em> <code>__add__(self, other: 'Vector3') -> 'Vector3'</code> <a class="header-anchor" href="#def-add-self-other-vector3-vector3" aria-label="Permalink to "*def* \`__add__(self, other: 'Vector3') -> 'Vector3'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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|
||||||
<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;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h3 id="overload-1" tabindex="-1"><code>@overload</code> <a class="header-anchor" href="#overload-1" aria-label="Permalink to "\`@overload\`""></a></h3><h3 id="def-add-self-other-point3-point3" tabindex="-1"><em>def</em> <code>__add__(self, other: 'Point3') -> 'Point3'</code> <a class="header-anchor" href="#def-add-self-other-point3-point3" aria-label="Permalink to "*def* \`__add__(self, other: 'Point3') -> 'Point3'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h3 id="def-add-self-other" tabindex="-1"><em>def</em> <code>__add__(self, other)</code> <a class="header-anchor" href="#def-add-self-other" aria-label="Permalink to "*def* \`__add__(self, other)\`""></a></h3><p>V + P -> P</p><p>V + V -> V</p><p>參數:</p><ul><li>other:</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> V + P -> P</span></span>
|
|
||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> V + V -> V</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Vector3):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Point3):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">"unsupported operand type(s) for +: 'Vector3' 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;">'"</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="def-eq-self-other" tabindex="-1"><em>def</em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#def-eq-self-other" aria-label="Permalink to "*def* \`__eq__(self, other)\`""></a></h3><p>判断两个向量是否相等。</p><p>參數:</p><ul><li>other:</li></ul><p>返回:</p><ul><li>是否相等</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两个向量是否相等。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 是否相等</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</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><h3 id="def-radd-self-other-point3-point3" tabindex="-1"><em>def</em> <code>__radd__(self, other: 'Point3') -> 'Point3'</code> <a class="header-anchor" href="#def-radd-self-other-point3-point3" aria-label="Permalink to "*def* \`__radd__(self, other: 'Point3') -> 'Point3'\`""></a></h3><p>P + V -> P</p><p>别去点那边实现了。 :param other: :return:</p><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __radd__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> P + V -> P</span></span>
|
|
||||||
<span class="line"></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 别去点那边实现了。</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> :param other:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> :return:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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|
||||||
<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><h3 id="overload-2" tabindex="-1"><code>@overload</code> <a class="header-anchor" href="#overload-2" aria-label="Permalink to "\`@overload\`""></a></h3><h3 id="def-sub-self-other-vector3-vector3" tabindex="-1"><em>def</em> <code>__sub__(self, other: 'Vector3') -> 'Vector3'</code> <a class="header-anchor" href="#def-sub-self-other-vector3-vector3" aria-label="Permalink to "*def* \`__sub__(self, other: 'Vector3') -> 'Vector3'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h3 id="overload-3" tabindex="-1"><code>@overload</code> <a class="header-anchor" href="#overload-3" aria-label="Permalink to "\`@overload\`""></a></h3><h3 id="def-sub-self-other-point3-point3" tabindex="-1"><em>def</em> <code>__sub__(self, other: 'Point3') -> 'Point3'</code> <a class="header-anchor" href="#def-sub-self-other-point3-point3" aria-label="Permalink to "*def* \`__sub__(self, other: 'Point3') -> 'Point3'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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|
||||||
<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;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h3 id="def-sub-self-other" tabindex="-1"><em>def</em> <code>__sub__(self, other)</code> <a class="header-anchor" href="#def-sub-self-other" aria-label="Permalink to "*def* \`__sub__(self, other)\`""></a></h3><p>V - P -> P</p><p>V - V -> V</p><p>參數:</p><ul><li>other:</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> V - P -> P</span></span>
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||||||
<span class="line"></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> V - V -> V</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Vector3):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Point3):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'unsupported operand type(s) for -: "Vector3" 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;">"'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="def-rsub-self-other-point3" tabindex="-1"><em>def</em> <code>__rsub__(self, other: 'Point3')</code> <a class="header-anchor" href="#def-rsub-self-other-point3" aria-label="Permalink to "*def* \`__rsub__(self, other: 'Point3')\`""></a></h3><p>P - V -> P</p><p>參數:</p><ul><li>other:</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __rsub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Point3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> P - V -> P</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
|
|
||||||
<span class="line"></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Point3):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, other.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z)</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">"unsupported operand type(s) for -: '</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;">' and 'Vector3'"</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="overload-4" tabindex="-1"><code>@overload</code> <a class="header-anchor" href="#overload-4" aria-label="Permalink to "\`@overload\`""></a></h3><h3 id="def-mul-self-other-vector3-vector3" tabindex="-1"><em>def</em> <code>__mul__(self, other: 'Vector3') -> 'Vector3'</code> <a class="header-anchor" href="#def-mul-self-other-vector3-vector3" aria-label="Permalink to "*def* \`__mul__(self, other: 'Vector3') -> 'Vector3'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h3 id="overload-5" tabindex="-1"><code>@overload</code> <a class="header-anchor" href="#overload-5" aria-label="Permalink to "\`@overload\`""></a></h3><h3 id="def-mul-self-other-realnumber-vector3" tabindex="-1"><em>def</em> <code>__mul__(self, other: RealNumber) -> 'Vector3'</code> <a class="header-anchor" href="#def-mul-self-other-realnumber-vector3" aria-label="Permalink to "*def* \`__mul__(self, other: RealNumber) -> 'Vector3'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: RealNumber) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h3 id="def-mul-self-other-int-float-vector3-vector3" tabindex="-1"><em>def</em> <code>__mul__(self, other: 'int | float | Vector3') -> 'Vector3'</code> <a class="header-anchor" href="#def-mul-self-other-int-float-vector3-vector3" aria-label="Permalink to "*def* \`__mul__(self, other: 'int | float | Vector3') -> 'Vector3'\`""></a></h3><p>数组运算 非点乘。点乘使用@，叉乘使用cross。</p><p>參數:</p><ul><li>other:</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'int | float | Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 数组运算 非点乘。点乘使用@，叉乘使用cross。</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
|
|
||||||
<span class="line"></span>
|
|
||||||
<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;"> """</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Vector3):</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
|
|
||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)):</span></span>
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<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other)</span></span>
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<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">"unsupported operand type(s) for *: 'Vector3' 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;">'"</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="def-rmul-self-other-realnumber-vector3" tabindex="-1"><em>def</em> <code>__rmul__(self, other: 'RealNumber') -> 'Vector3'</code> <a class="header-anchor" href="#def-rmul-self-other-realnumber-vector3" aria-label="Permalink to "*def* \`__rmul__(self, other: 'RealNumber') -> 'Vector3'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __rmul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'RealNumber'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">__mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span></span></code></pre></div></details><h3 id="def-matmul-self-other-vector3-realnumber" tabindex="-1"><em>def</em> <code>__matmul__(self, other: 'Vector3') -> 'RealNumber'</code> <a class="header-anchor" href="#def-matmul-self-other-vector3-realnumber" aria-label="Permalink to "*def* \`__matmul__(self, other: 'Vector3') -> 'RealNumber'\`""></a></h3><p>点乘。</p><p>參數:</p><ul><li>other:</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __matmul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'RealNumber'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 点乘。</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z</span></span></code></pre></div></details><h3 id="def-truediv-self-other-realnumber-vector3" tabindex="-1"><em>def</em> <code>__truediv__(self, other: RealNumber) -> 'Vector3'</code> <a class="header-anchor" href="#def-truediv-self-other-realnumber-vector3" aria-label="Permalink to "*def* \`__truediv__(self, other: RealNumber) -> 'Vector3'\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __truediv__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: RealNumber) -> </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">'Vector3'</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other)</span></span></code></pre></div></details><h3 id="def-neg-self" tabindex="-1"><em>def</em> <code>__neg__(self)</code> <a class="header-anchor" href="#def-neg-self" aria-label="Permalink to "*def* \`__neg__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __neg__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
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||||||
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z)</span></span></code></pre></div></details><h3 id="def-repr-self" tabindex="-1"><em>def</em> <code>__repr__(self)</code> <a class="header-anchor" href="#def-repr-self" aria-label="Permalink to "*def* \`__repr__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> __repr__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
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||||||
<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;">'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:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">, </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:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">)'</span></span></code></pre></div></details><h3 id="def-str-self" tabindex="-1"><em>def</em> <code>__str__(self)</code> <a class="header-anchor" href="#def-str-self" aria-label="Permalink to "*def* \`__str__(self)\`""></a></h3><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light 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;"> __str__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
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||||||
<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;">'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:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">, </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:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">)'</span></span></code></pre></div></details><h3 id="var-zero-vector3-vector3-0-0-0" tabindex="-1"><em><strong>var</strong></em> <code>zero_vector3 = Vector3(0, 0, 0)</code> <a class="header-anchor" href="#var-zero-vector3-vector3-0-0-0" aria-label="Permalink to "***var*** \`zero_vector3 = Vector3(0, 0, 0)\`""></a></h3><h3 id="var-x-axis-vector3-1-0-0" tabindex="-1"><em><strong>var</strong></em> <code>x_axis = Vector3(1, 0, 0)</code> <a class="header-anchor" href="#var-x-axis-vector3-1-0-0" aria-label="Permalink to "***var*** \`x_axis = Vector3(1, 0, 0)\`""></a></h3><h3 id="var-y-axis-vector3-0-1-0" tabindex="-1"><em><strong>var</strong></em> <code>y_axis = Vector3(0, 1, 0)</code> <a class="header-anchor" href="#var-y-axis-vector3-0-1-0" aria-label="Permalink to "***var*** \`y_axis = Vector3(0, 1, 0)\`""></a></h3><h3 id="var-z-axis-vector3-0-0-1" tabindex="-1"><em><strong>var</strong></em> <code>z_axis = Vector3(0, 0, 1)</code> <a class="header-anchor" href="#var-z-axis-vector3-0-0-1" aria-label="Permalink to "***var*** \`z_axis = Vector3(0, 0, 1)\`""></a></h3>`,133),h=[t];function e(p,k,r,d,o,E){return a(),i("div",null,h)}const F=s(l,[["render",e]]);export{y as __pageData,F as default};
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@ -1 +0,0 @@
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import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"zh-Hant/api/mp_math/vector.md","filePath":"zh-Hant/api/mp_math/vector.md"}'),l={name:"zh-Hant/api/mp_math/vector.md"},t=n("",133),h=[t];function e(p,k,r,d,o,E){return a(),i("div",null,h)}const F=s(l,[["render",e]]);export{y as __pageData,F as default};
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@ -1 +0,0 @@
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import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const m=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle"},"headers":[],"relativePath":"zh-Hant/api/particle/index.md","filePath":"zh-Hant/api/particle/index.md"}'),i={name:"zh-Hant/api/particle/index.md"};function r(c,n,p,o,s,d){return a(),t("div")}const _=e(i,[["render",r]]);export{m as __pageData,_ as default};
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@ -1 +0,0 @@
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import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const m=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle"},"headers":[],"relativePath":"zh-Hant/api/particle/index.md","filePath":"zh-Hant/api/particle/index.md"}'),i={name:"zh-Hant/api/particle/index.md"};function r(c,n,p,o,s,d){return a(),t("div")}const _=e(i,[["render",r]]);export{m as __pageData,_ as default};
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@ -1 +0,0 @@
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|||||||
import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets"},"headers":[],"relativePath":"zh-Hant/api/presets/index.md","filePath":"zh-Hant/api/presets/index.md"}'),s={name:"zh-Hant/api/presets/index.md"};function r(n,p,i,c,o,d){return a(),t("div")}const f=e(s,[["render",r]]);export{_ as __pageData,f as default};
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@ -1 +0,0 @@
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|||||||
import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets"},"headers":[],"relativePath":"zh-Hant/api/presets/index.md","filePath":"zh-Hant/api/presets/index.md"}'),s={name:"zh-Hant/api/presets/index.md"};function r(n,p,i,c,o,d){return a(),t("div")}const f=e(s,[["render",r]]);export{_ as __pageData,f as default};
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@ -1,18 +0,0 @@
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import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model"},"headers":[],"relativePath":"zh-Hant/api/presets/model/index.md","filePath":"zh-Hant/api/presets/model/index.md"}'),h={name:"zh-Hant/api/presets/model/index.md"},t=n(`<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 "***class*** \`GeometricModels\`""></a></h3><h3 id="staticmethod" tabindex="-1"><code>@staticmethod</code> <a class="header-anchor" href="#staticmethod" aria-label="Permalink to "\`@staticmethod\`""></a></h3><h3 id="def-sphere-radius-float-density-float" tabindex="-1"><em>def</em> <code>sphere(radius: float, density: float)</code> <a class="header-anchor" href="#def-sphere-radius-float-density-float" aria-label="Permalink to "*def* \`sphere(radius: float, density: float)\`""></a></h3><p>生成球体上的点集。</p><p>參數:</p><ul><li><p>radius:</p></li><li><p>density:</p></li></ul><p>返回:</p><ul><li>List[Point3]: 球体上的点集。</li></ul><details><summary>源碼</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="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>
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<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>
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<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> """</span></span>
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||||||
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 生成球体上的点集。</span></span>
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|
||||||
<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;"> """</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>
|
|
||||||
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> theta_list </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.sqrt(num </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;"> phi_list</span></span>
|
|
||||||
<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>`,9),l=[t];function p(k,e,r,d,E,y){return a(),i("div",null,l)}const F=s(h,[["render",p]]);export{o as __pageData,F as default};
|
|
||||||
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|
|||||||
import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model"},"headers":[],"relativePath":"zh-Hant/api/presets/model/index.md","filePath":"zh-Hant/api/presets/model/index.md"}'),h={name:"zh-Hant/api/presets/model/index.md"},t=n("",9),l=[t];function p(k,e,r,d,E,y){return a(),i("div",null,l)}const F=s(h,[["render",p]]);export{o as __pageData,F as default};
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|||||||
{"api-ex.md":"DOsKaL8H","api_index.md":"BvazTqTB","api_mp_math_angle.md":"B8w0LP6o","api_mp_math_const.md":"BzOZuyZq","api_mp_math_equation.md":"Ck19tFkF","api_mp_math_index.md":"4P0hk6gb","api_mp_math_line.md":"B1jAKPr1","api_mp_math_mp_math_typing.md":"B0OaWJmF","api_mp_math_plane.md":"DLB54RNP","api_mp_math_point.md":"BwXaSbuz","api_mp_math_segment.md":"C6i78ST1","api_mp_math_utils.md":"Bkx3QJ6f","api_mp_math_vector.md":"Efti6kdT","api_particle_index.md":"BRCSxC3e","api_presets_index.md":"Dl6Ss91J","api_presets_model_index.md":"DY6YMRqf","en_api_index.md":"Bgu-LD1B","en_api_mp_math_angle.md":"DmK_A9xI","en_api_mp_math_const.md":"6yNmEodn","en_api_mp_math_equation.md":"DyRN0jPI","en_api_mp_math_index.md":"DrjDUYBY","en_api_mp_math_line.md":"BBlzflWh","en_api_mp_math_mp_math_typing.md":"Ba9aYPR2","en_api_mp_math_plane.md":"cxytQLD4","en_api_mp_math_point.md":"CXQGh5Zt","en_api_mp_math_segment.md":"CxreVgqR","en_api_mp_math_utils.md":"aavLLFMy","en_api_mp_math_vector.md":"BvKJEw7_","en_api_particle_index.md":"CmC1QX5o","en_api_presets_index.md":"CZ5hl_7D","en_api_presets_model_index.md":"DBfUZUBC","guide_index.md":"BE2yloik","index.md":"BE1qChTt","ja_api_index.md":"4BnflFIm","ja_api_mp_math_angle.md":"DxBe_g0o","ja_api_mp_math_const.md":"CflutYeA","ja_api_mp_math_equation.md":"3a6umjdP","ja_api_mp_math_index.md":"CSAMHYsB","ja_api_mp_math_line.md":"CMfQT6TH","ja_api_mp_math_mp_math_typing.md":"Bhy6h0r0","ja_api_mp_math_plane.md":"Cm4a8eqF","ja_api_mp_math_point.md":"CQAIjHfb","ja_api_mp_math_segment.md":"D0U5bMSu","ja_api_mp_math_utils.md":"CXGqGLUs","ja_api_mp_math_vector.md":"C9TtayJk","ja_api_particle_index.md":"E2YnH7EN","ja_api_presets_index.md":"ATGcHt9d","ja_api_presets_model_index.md":"DAVK1sDI","md-ex.md":"BX0WqOqv","zh-hant_api_index.md":"D-iBkJb-","zh-hant_api_mp_math_angle.md":"eKQSpiMX","zh-hant_api_mp_math_const.md":"B_tZ9wL7","zh-hant_api_mp_math_equation.md":"DPinrp8_","zh-hant_api_mp_math_index.md":"B8NLV8Cf","zh-hant_api_mp_math_line.md":"B-s8aLxY","zh-hant_api_mp_math_mp_math_typing.md":"DOwDUOu8","zh-hant_api_mp_math_plane.md":"B60Bzq3i","zh-hant_api_mp_math_point.md":"BEsHV_8G","zh-hant_api_mp_math_segment.md":"C-4eJk-Y","zh-hant_api_mp_math_utils.md":"z2lMMpnT","zh-hant_api_mp_math_vector.md":"n5Efae6D","zh-hant_api_particle_index.md":"BlduIPtw","zh-hant_api_presets_index.md":"CDyg87e9","zh-hant_api_presets_model_index.md":"DCHpjjZ_","zht_api_index.md":"Dq4XPUKZ","zht_api_mp_math_angle.md":"_4N19GGe","zht_api_mp_math_const.md":"CIhADrI2","zht_api_mp_math_equation.md":"2k-eEs3U","zht_api_mp_math_index.md":"D09y2ubg","zht_api_mp_math_line.md":"4ncoPmkZ","zht_api_mp_math_mp_math_typing.md":"DlxSozR9","zht_api_mp_math_plane.md":"Buk-SLcC","zht_api_mp_math_point.md":"Bb3tyGv-","zht_api_mp_math_segment.md":"U_lS4vUA","zht_api_mp_math_utils.md":"ig9jQkoA","zht_api_mp_math_vector.md":"CDyAXuJb","zht_api_particle_index.md":"kAm9VAEw","zht_api_presets_index.md":"BmouaEaT","zht_api_presets_model_index.md":"CrdAyyCM"}
|
{"api-ex.md":"DOsKaL8H","api_index.md":"BvazTqTB","api_mp_math_angle.md":"B8w0LP6o","api_mp_math_const.md":"BzOZuyZq","api_mp_math_equation.md":"Ck19tFkF","api_mp_math_index.md":"4P0hk6gb","api_mp_math_line.md":"B1jAKPr1","api_mp_math_mp_math_typing.md":"B0OaWJmF","api_mp_math_plane.md":"DLB54RNP","api_mp_math_point.md":"BwXaSbuz","api_mp_math_segment.md":"C6i78ST1","api_mp_math_utils.md":"Bkx3QJ6f","api_mp_math_vector.md":"Efti6kdT","api_particle_index.md":"BRCSxC3e","api_presets_index.md":"Dl6Ss91J","api_presets_model_index.md":"DY6YMRqf","en_api_index.md":"Bgu-LD1B","en_api_mp_math_angle.md":"DmK_A9xI","en_api_mp_math_const.md":"6yNmEodn","en_api_mp_math_equation.md":"DyRN0jPI","en_api_mp_math_index.md":"DrjDUYBY","en_api_mp_math_line.md":"BBlzflWh","en_api_mp_math_mp_math_typing.md":"Ba9aYPR2","en_api_mp_math_plane.md":"cxytQLD4","en_api_mp_math_point.md":"CXQGh5Zt","en_api_mp_math_segment.md":"CxreVgqR","en_api_mp_math_utils.md":"aavLLFMy","en_api_mp_math_vector.md":"BvKJEw7_","en_api_particle_index.md":"CmC1QX5o","en_api_presets_index.md":"CZ5hl_7D","en_api_presets_model_index.md":"DBfUZUBC","guide_index.md":"BE2yloik","index.md":"BE1qChTt","ja_api_index.md":"4BnflFIm","ja_api_mp_math_angle.md":"DxBe_g0o","ja_api_mp_math_const.md":"CflutYeA","ja_api_mp_math_equation.md":"3a6umjdP","ja_api_mp_math_index.md":"CSAMHYsB","ja_api_mp_math_line.md":"CMfQT6TH","ja_api_mp_math_mp_math_typing.md":"Bhy6h0r0","ja_api_mp_math_plane.md":"Cm4a8eqF","ja_api_mp_math_point.md":"CQAIjHfb","ja_api_mp_math_segment.md":"D0U5bMSu","ja_api_mp_math_utils.md":"CXGqGLUs","ja_api_mp_math_vector.md":"C9TtayJk","ja_api_particle_index.md":"E2YnH7EN","ja_api_presets_index.md":"ATGcHt9d","ja_api_presets_model_index.md":"DAVK1sDI","md-ex.md":"BX0WqOqv","zht_api_index.md":"Dq4XPUKZ","zht_api_mp_math_angle.md":"_4N19GGe","zht_api_mp_math_const.md":"CIhADrI2","zht_api_mp_math_equation.md":"2k-eEs3U","zht_api_mp_math_index.md":"D09y2ubg","zht_api_mp_math_line.md":"4ncoPmkZ","zht_api_mp_math_mp_math_typing.md":"DlxSozR9","zht_api_mp_math_plane.md":"Buk-SLcC","zht_api_mp_math_point.md":"Bb3tyGv-","zht_api_mp_math_segment.md":"U_lS4vUA","zht_api_mp_math_utils.md":"ig9jQkoA","zht_api_mp_math_vector.md":"CDyAXuJb","zht_api_particle_index.md":"kAm9VAEw","zht_api_presets_index.md":"BmouaEaT","zht_api_presets_model_index.md":"CrdAyyCM"}
|
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Reference in New Issue
Block a user