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class="content" data-v-01c90815><div class="content-container" data-v-01c90815><!--[--><!--]--><main class="main" data-v-01c90815><div style="position:relative;" class="vp-doc _en_api_mp_math_vector" data-v-01c90815><div><h1 id="module-mbcp-mp-math-vector" tabindex="-1"><strong>Module</strong> <code>mbcp.mp_math.vector</code> <a class="header-anchor" href="#module-mbcp-mp-math-vector" aria-label="Permalink to &quot;**Module** `mbcp.mp_math.vector`&quot;">​</a></h1><p>本模块定义了3维向量的类Vector3，以及一些常用的向量。</p><h3 id="class-vector3" tabindex="-1"><em><strong>class</strong></em> <code>Vector3</code> <a class="header-anchor" href="#class-vector3" aria-label="Permalink to &quot;***class*** `Vector3`&quot;">​</a></h3><h4 id="method-init-self-x-float-y-float-z-float" tabindex="-1"><em><strong>method</strong></em> <code>__init__(self, x: float, y: float, z: float)</code> <a class="header-anchor" href="#method-init-self-x-float-y-float-z-float" aria-label="Permalink to &quot;***method*** `__init__(self, x: float, y: float, z: float)`&quot;">​</a></h4><p><strong>Description</strong>: 3维向量</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>x (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): x轴分量</li><li>y (<code>float</code>): y轴分量</li><li>z (<code>float</code>): z轴分量</li></ul></blockquote><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L18" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, y: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, z: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> z</span></span></code></pre></div></details><h4 id="method-approx-self-other-vector3-epsilon-float-approx-bool" tabindex="-1"><em><strong>method</strong></em> <code>approx(self, other: Vector3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#method-approx-self-other-vector3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***method*** `approx(self, other: Vector3, epsilon: float = APPROX) -&gt; bool`&quot;">​</a></h4><p><strong>Description</strong>: 判断两个向量是否近似相等。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li><li>epsilon (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 误差</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似相等</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L30" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> approx</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> all</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon])</span></span></code></pre></div></details><h4 id="method-cal-angle-self-other-vector3-anyangle" tabindex="-1"><em><strong>method</strong></em> <code>cal_angle(self, other: Vector3) -&gt; AnyAngle</code> <a class="header-anchor" href="#method-cal-angle-self-other-vector3-anyangle" aria-label="Permalink to &quot;***method*** `cal_angle(self, other: Vector3) -&gt; AnyAngle`&quot;">​</a></h4><p><strong>Description</strong>: 计算两个向量之间的夹角。</p><div class="tip custom-block"><p class="custom-block-title">TIP</p><p>向量夹角计算公式:</p><mjx-container tabindex="0" class="MathJax" jax="SVG" display="true" style="direction:ltr;display:block;text-align:center;margin:1em 0;position:relative;"><svg style="overflow:visible;min-height:1px;min-width:1px;vertical-align:-2.17ex;" xmlns="http://www.w3.org/2000/svg" width="21.491ex" height="5.206ex" role="img" focusable="false" viewBox="0 -1342 9499 2301" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D703" d="M35 200Q35 302 74 415T180 610T319 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style="stroke-width:3;"></path></g></g><rect width="4004.4" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(9110,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z" style="stroke-width:3;"></path></g></g></g></svg><mjx-assistive-mml unselectable="on" display="block" style="top:0px;left:0px;clip:rect(1px, 1px, 1px, 1px);-webkit-touch-callout:none;-webkit-user-select:none;-khtml-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;position:absolute;padding:1px 0px 0px 0px;border:0px;display:block;overflow:hidden;width:100%;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mi>θ</mi><mo>=</mo><mi>arccos</mi><mo data-mjx-texclass="NONE">⁡</mo><mo stretchy="false">(</mo><mfrac><mrow><mi>v</mi><mn>1</mn><mo>⋅</mo><mi>v</mi><mn>2</mn></mrow><mrow><mo data-mjx-texclass="ORD" stretchy="false">|</mo><mi>v</mi><mn>1</mn><mo data-mjx-texclass="ORD" stretchy="false">|</mo><mo>⋅</mo><mo data-mjx-texclass="ORD" stretchy="false">|</mo><mi>v</mi><mn>2</mn><mo data-mjx-texclass="ORD" stretchy="false">|</mo></mrow></mfrac><mo stretchy="false">)</mo></math></mjx-assistive-mml></mjx-container></div><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>Return</strong>: <a href="./angle.html#class-anyangle"><code>AnyAngle</code></a>: 夹角</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L42" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_angle</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(math.acos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> @</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.length)), </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="method-cross-self-other-vector3-vector3" tabindex="-1"><em><strong>method</strong></em> <code>cross(self, other: Vector3) -&gt; Vector3</code> <a class="header-anchor" href="#method-cross-self-other-vector3-vector3" aria-label="Permalink to &quot;***method*** `cross(self, other: Vector3) -&gt; Vector3`&quot;">​</a></h4><p><strong>Description</strong>: 向量积 叉乘：v1 x v2 -&gt; v3</p><div class="tip custom-block"><p class="custom-block-title">TIP</p><p>叉乘运算法则为:</p><mjx-container tabindex="0" class="MathJax" jax="SVG" display="true" style="direction:ltr;display:block;text-align:center;margin:1em 0;position:relative;"><svg style="overflow:visible;min-height:1px;min-width:1px;vertical-align:-0.667ex;" xmlns="http://www.w3.org/2000/svg" width="70.883ex" height="2.364ex" role="img" focusable="false" viewBox="0 -750 31330.3 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0px;border:0px;display:block;overflow:hidden;width:100%;"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mi>v</mi><mn>1</mn><mo>×</mo><mi>v</mi><mn>2</mn><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>i</mi></mtd><mtd><mi>j</mi></mtd><mtd><mi>k</mi></mtd></mtr><mtr><mtd><mi>v</mi><msub><mn>1</mn><mi>x</mi></msub></mtd><mtd><mi>v</mi><msub><mn>1</mn><mi>y</mi></msub></mtd><mtd><mi>v</mi><msub><mn>1</mn><mi>z</mi></msub></mtd></mtr><mtr><mtd><mi>v</mi><msub><mn>2</mn><mi>x</mi></msub></mtd><mtd><mi>v</mi><msub><mn>2</mn><mi>y</mi></msub></mtd><mtd><mi>v</mi><msub><mn>2</mn><mi>z</mi></msub></mtd></mtr></mtable><mo data-mjx-texclass="CLOSE">|</mo></mrow></math></mjx-assistive-mml></mjx-container></div><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>Return</strong>: <a href="#class-vector3"><code>Vector3</code></a>: 叉乘结果</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L56" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cross</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x)</span></span></code></pre></div></details><h4 id="method-is-approx-parallel-self-other-vector3-epsilon-float-approx-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -&gt; bool</code> <a class="header-anchor" href="#method-is-approx-parallel-self-other-vector3-epsilon-float-approx-bool" aria-label="Permalink to &quot;***method*** `is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -&gt; bool`&quot;">​</a></h4><p><strong>Description</strong>: 判断两个向量是否近似平行。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li><li>epsilon (<a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 误差</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否近似平行</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L75" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_approx_parallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cross(other).length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span></code></pre></div></details><h4 id="method-is-parallel-self-other-vector3-bool" tabindex="-1"><em><strong>method</strong></em> <code>is_parallel(self, other: Vector3) -&gt; bool</code> <a class="header-anchor" href="#method-is-parallel-self-other-vector3-bool" aria-label="Permalink to &quot;***method*** `is_parallel(self, other: Vector3) -&gt; bool`&quot;">​</a></h4><p><strong>Description</strong>: 判断两个向量是否平行。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否平行</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L86" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_parallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cross(other).approx(zero_vector3)</span></span></code></pre></div></details><h4 id="method-normalize-self" tabindex="-1"><em><strong>method</strong></em> <code>normalize(self)</code> <a class="header-anchor" href="#method-normalize-self" aria-label="Permalink to &quot;***method*** `normalize(self)`&quot;">​</a></h4><p><strong>Description</strong>: 将向量归一化。</p><p>自体归一化，不返回值。</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L96" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> normalize</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</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>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-np-array-self-np-ndarray" tabindex="-1"><em><strong>method</strong></em> <code>np_array(self) -&gt; np.ndarray</code> <a class="header-anchor" href="#method-np-array-self-np-ndarray" aria-label="Permalink to &quot;***method*** `np_array(self) -&gt; np.ndarray`&quot;">​</a></h4><p><strong>Return</strong>: <a href="https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html" target="_blank" rel="noreferrer"><code>np.ndarray</code></a>: numpy数组</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L108" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> np_array</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;np.ndarray&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z])</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-length-self-float" tabindex="-1"><em><strong>method</strong></em> <code>length(self) -&gt; float</code> <a class="header-anchor" href="#method-length-self-float" aria-label="Permalink to &quot;***method*** `length(self) -&gt; float`&quot;">​</a></h4><p><strong>Description</strong>: 向量的模。</p><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>: 模</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L118" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> length</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.sqrt(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><a href="https://docs.python.org/3/library/functions.html#property" target="_blank" rel="noreferrer"><code>@property</code></a></p><h4 id="method-unit-self-vector3" tabindex="-1"><em><strong>method</strong></em> <code>unit(self) -&gt; Vector3</code> <a class="header-anchor" href="#method-unit-self-vector3" aria-label="Permalink to &quot;***method*** `unit(self) -&gt; Vector3`&quot;">​</a></h4><p><strong>Description</strong>: 获取该向量的单位向量。</p><p><strong>Return</strong>: <a href="#class-vector3"><code>Vector3</code></a>: 单位向量</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L127" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> unit</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span></code></pre></div></details><h4 id="method-abs-self" tabindex="-1"><em><strong>method</strong></em> <code>__abs__(self)</code> <a class="header-anchor" href="#method-abs-self" aria-label="Permalink to &quot;***method*** `__abs__(self)`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L135" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __abs__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-vector3-vector3" tabindex="-1"><em><strong>method</strong></em> <code>self + other: Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-vector3-vector3" aria-label="Permalink to &quot;***method*** `self + other: Vector3 =&gt; Vector3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L139" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-point3-point3" tabindex="-1"><em><strong>method</strong></em> <code>self + other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#method-self-other-point3-point3" aria-label="Permalink to &quot;***method*** `self + other: Point3 =&gt; Point3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L143" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h4 id="method-self-other" tabindex="-1"><em><strong>method</strong></em> <code>self + other</code> <a class="header-anchor" href="#method-self-other" aria-label="Permalink to &quot;***method*** `self + other`&quot;">​</a></h4><p><strong>Description</strong>: V + P -&gt; P</p><p>V + V -&gt; V</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>): 另一个向量或点</li></ul></blockquote><p><strong>Return</strong>: <a href="#class-vector3"><code>Vector3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>: 新的向量或点</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L146" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __add__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Vector3):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Point3):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for +: &#39;Vector3&#39; and &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="method-eq-self-other" tabindex="-1"><em><strong>method</strong></em> <code>__eq__(self, other)</code> <a class="header-anchor" href="#method-eq-self-other" aria-label="Permalink to &quot;***method*** `__eq__(self, other)`&quot;">​</a></h4><p><strong>Description</strong>: 判断两个向量是否相等。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#bool" target="_blank" rel="noreferrer"><code>bool</code></a>: 是否相等</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L162" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __eq__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, other.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, other.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">and</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> approx(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z, other.z)</span></span></code></pre></div></details><h4 id="method-self-other-point3-point3-1" tabindex="-1"><em><strong>method</strong></em> <code>self + other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#method-self-other-point3-point3-1" aria-label="Permalink to &quot;***method*** `self + other: Point3 =&gt; Point3`&quot;">​</a></h4><p><strong>Description</strong>: P + V -&gt; P</p><p>别去点那边实现了。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="./point.html#class-point3"><code>Point3</code></a>): 另一个点</li></ul></blockquote><p><strong>Return</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 新的点</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L172" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __radd__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-vector3-vector3-1" tabindex="-1"><em><strong>method</strong></em> <code>self - other: Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-vector3-vector3-1" aria-label="Permalink to &quot;***method*** `self - other: Vector3 =&gt; Vector3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L184" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-point3-point3-2" tabindex="-1"><em><strong>method</strong></em> <code>self - other: Point3 =&gt; Point3</code> <a class="header-anchor" href="#method-self-other-point3-point3-2" aria-label="Permalink to &quot;***method*** `self - other: Point3 =&gt; Point3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L188" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h4 id="method-self-other-1" tabindex="-1"><em><strong>method</strong></em> <code>self - other</code> <a class="header-anchor" href="#method-self-other-1" aria-label="Permalink to &quot;***method*** `self - other`&quot;">​</a></h4><p><strong>Description</strong>: V - P -&gt; P</p><p>V - V -&gt; V</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>): 另一个向量或点</li></ul></blockquote><p><strong>Return</strong>: <a href="#class-vector3"><code>Vector3</code></a> | <a href="./point.html#class-point3"><code>Point3</code></a>: 新的向量</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L191" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __sub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Vector3):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Point3):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;unsupported operand type(s) for -: &quot;Vector3&quot; and &quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="method-self-other-point3" tabindex="-1"><em><strong>method</strong></em> <code>self - other: Point3</code> <a class="header-anchor" href="#method-self-other-point3" aria-label="Permalink to &quot;***method*** `self - other: Point3`&quot;">​</a></h4><p><strong>Description</strong>: P - V -&gt; P</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="./point.html#class-point3"><code>Point3</code></a>): 另一个点</li></ul></blockquote><p><strong>Return</strong>: <a href="./point.html#class-point3"><code>Point3</code></a>: 新的点</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L207" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __rsub__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Point3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Point3):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Point3(other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, other.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z)</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for -: &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39; and &#39;Vector3&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-vector3-vector3-2" tabindex="-1"><em><strong>method</strong></em> <code>self * other: Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-vector3-vector3-2" aria-label="Permalink to &quot;***method*** `self * other: Vector3 =&gt; Vector3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L222" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><p><code>@overload</code></p><h4 id="method-self-other-realnumber-vector3" tabindex="-1"><em><strong>method</strong></em> <code>self * other: RealNumber =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-realnumber-vector3" aria-label="Permalink to &quot;***method*** `self * other: RealNumber =&gt; Vector3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L226" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@overload</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: RealNumber) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> ...</span></span></code></pre></div></details><h4 id="method-self-other-int-float-vector3-vector3" tabindex="-1"><em><strong>method</strong></em> <code>self * other: int | float | Vector3 =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-int-float-vector3-vector3" aria-label="Permalink to &quot;***method*** `self * other: int | float | Vector3 =&gt; Vector3`&quot;">​</a></h4><p><strong>Description</strong>: 数组运算 非点乘。点乘使用@，叉乘使用cross。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a> | <a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>): 另一个向量或数</li></ul></blockquote><p><strong>Return</strong>: <a href="#class-vector"><code>Vector3</code></a>: 数组运算结果</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L229" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;int | float | Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, Vector3):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z)</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> elif</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isinstance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)):</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other)</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> else</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> raise</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TypeError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">f</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;unsupported operand type(s) for *: &#39;Vector3&#39; and &#39;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">{type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">}</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h4 id="method-self-other-realnumber-vector3-1" tabindex="-1"><em><strong>method</strong></em> <code>self * other: RealNumber =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-realnumber-vector3-1" aria-label="Permalink to &quot;***method*** `self * other: RealNumber =&gt; Vector3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L245" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __rmul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;RealNumber&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">__mul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(other)</span></span></code></pre></div></details><h4 id="method-self-other-vector3-realnumber" tabindex="-1"><em><strong>method</strong></em> <code>self @ other: Vector3 =&gt; RealNumber</code> <a class="header-anchor" href="#method-self-other-vector3-realnumber" aria-label="Permalink to &quot;***method*** `self @ other: Vector3 =&gt; RealNumber`&quot;">​</a></h4><p><strong>Description</strong>: 点乘。</p><p><strong>Arguments</strong>:</p><blockquote><ul><li>other (<a href="#class-vector3"><code>Vector3</code></a>): 另一个向量</li></ul></blockquote><p><strong>Return</strong>: <a href="https://docs.python.org/3/library/functions.html#float" target="_blank" rel="noreferrer"><code>float</code></a>: 点乘结果</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L248" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __matmul__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;RealNumber&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z</span></span></code></pre></div></details><h4 id="method-self-other-realnumber-vector3-2" tabindex="-1"><em><strong>method</strong></em> <code>self / other: RealNumber =&gt; Vector3</code> <a class="header-anchor" href="#method-self-other-realnumber-vector3-2" aria-label="Permalink to &quot;***method*** `self / other: RealNumber =&gt; Vector3`&quot;">​</a></h4><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L258" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __truediv__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: RealNumber) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other)</span></span></code></pre></div></details><h4 id="method-self-vector3" tabindex="-1"><em><strong>method</strong></em> <code>- self =&gt; Vector3</code> <a class="header-anchor" href="#method-self-vector3" aria-label="Permalink to &quot;***method*** `- self =&gt; Vector3`&quot;">​</a></h4><p><strong>Description</strong>: 取负。</p><p><strong>Return</strong>: <a href="#class-vector3"><code>Vector3</code></a>: 负向量</p><details><summary><b>Source code</b> or <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/mp_math/vector.py#L261" target="_blank">View on GitHub</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __neg__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z)</span></span></code></pre></div></details><h3 id="var-zero-vector3" tabindex="-1">var <code>zero_vector3</code> <a class="header-anchor" href="#var-zero-vector3" aria-label="Permalink to &quot;var `zero_vector3`&quot;">​</a></h3><ul><li><p><strong>Description</strong>: 零向量</p></li><li><p><strong>Type</strong>: <code>Vector3</code></p></li><li><p><strong>Default</strong>: <code>Vector3(0, 0, 0)</code></p></li></ul><h3 id="var-x-axis" tabindex="-1">var <code>x_axis</code> <a class="header-anchor" href="#var-x-axis" aria-label="Permalink to &quot;var `x_axis`&quot;">​</a></h3><ul><li><p><strong>Description</strong>: x轴单位向量</p></li><li><p><strong>Type</strong>: <code>Vector3</code></p></li><li><p><strong>Default</strong>: <code>Vector3(1, 0, 0)</code></p></li></ul><h3 id="var-y-axis" tabindex="-1">var <code>y_axis</code> <a class="header-anchor" href="#var-y-axis" aria-label="Permalink to &quot;var `y_axis`&quot;">​</a></h3><ul><li><p><strong>Description</strong>: y轴单位向量</p></li><li><p><strong>Type</strong>: <code>Vector3</code></p></li><li><p><strong>Default</strong>: <code>Vector3(0, 1, 0)</code></p></li></ul><h3 id="var-z-axis" tabindex="-1">var <code>z_axis</code> <a class="header-anchor" href="#var-z-axis" aria-label="Permalink to &quot;var `z_axis`&quot;">​</a></h3><ul><li><p><strong>Description</strong>: z轴单位向量</p></li><li><p><strong>Type</strong>: <code>Vector3</code></p></li><li><p><strong>Default</strong>: <code>Vector3(0, 0, 1)</code></p></li></ul></div></div></main><footer class="VPDocFooter" data-v-01c90815 data-v-28deee4a><!--[--><!--]--><div class="edit-info" data-v-28deee4a><div class="edit-link" data-v-28deee4a><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/snowykami/mbcp/tree/main/mbcp//mp_math/vector.py" target="_blank" rel="noreferrer" data-v-28deee4a><!--[--><span class="vpi-square-pen edit-link-icon" data-v-28deee4a></span> Edit this page on GitHub<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-28deee4a><span class="visually-hidden" id="doc-footer-aria-label" data-v-28deee4a>Pager</span><div class="pager" data-v-28deee4a><a class="VPLink link pager-link prev" href="/en/api/mp_math/utils.html" data-v-28deee4a><!--[--><span class="desc" data-v-28deee4a>Prev Page</span><span class="title" data-v-28deee4a>mbcp.mp_math.utils</span><!--]--></a></div><div class="pager" data-v-28deee4a><a class="VPLink link pager-link next" href="/en/api/particle/" data-v-28deee4a><!--[--><span class="desc" data-v-28deee4a>Next Page</span><span class="title" data-v-28deee4a>mbcp.particle</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-3b4648ff data-v-d69bcf5d><div class="container" data-v-d69bcf5d><p class="message" data-v-d69bcf5d>Documentation built with <a href="https://vitepress.dev/">VitePress</a> | API references generated by <a href="https://github.com/LiteyukiStudio/litedoc">litedoc</a></p><p class="copyright" data-v-d69bcf5d>Copyright (C) 2020-2024 SnowyKami. All Rights Reserved</p></div></footer><!--[--><!--]--></div></div>
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