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data-v-aa782c77><!--[--><!--]--><main class="main" data-v-aa782c77><div style="position:relative;" class="vp-doc _api_mp_math_vector" data-v-aa782c77><div><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><h3 id="emsp-def-init-self-x-float-y-float-z-float-none" tabindex="-1"> <em><strong>def</strong></em> <code>__init__(self, x: float, y: float, z: float) -&gt; None</code> <a class="header-anchor" href="#emsp-def-init-self-x-float-y-float-z-float-none" aria-label="Permalink to &quot;&amp;emsp; ***def*** `__init__(self, x: float, y: float, z: float) -&gt; None`&quot;"></a></h3><p>3维向量</p><p>Args:</p><pre><code>x: x轴分量
y: y轴分量
z: z轴分量
</code></pre><details><summary>源代码</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> __init__</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, x: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, y: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, z: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 3维向量</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
<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;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y</span></span>
<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> z</span></span></code></pre></div></details><h3 id="emsp-def-approx-self-other-vector3-epsilon-float-bool" tabindex="-1"> <em><strong>def</strong></em> <code>approx(self, other: &#39;Vector3&#39;, epsilon: float) -&gt; bool</code> <a class="header-anchor" href="#emsp-def-approx-self-other-vector3-epsilon-float-bool" aria-label="Permalink to &quot;&amp;emsp; ***def*** `approx(self, other: &#39;Vector3&#39;, epsilon: float) -&gt; bool`&quot;"></a></h3><p> 判断两个向量是否近似相等。</p><p>Args:</p><pre><code>other:
epsilon:
</code></pre><p>Returns:</p><pre><code>是否近似相等
</code></pre><details><summary>源代码</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> approx</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两个向量是否近似相等。</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;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> all</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">abs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon])</span></span></code></pre></div></details><h3 id="emsp-def-cal-angle-self-other-vector3-anyangle" tabindex="-1"> <em><strong>def</strong></em> <code>cal_angle(self, other: &#39;Vector3&#39;) -&gt; &#39;AnyAngle&#39;</code> <a class="header-anchor" href="#emsp-def-cal-angle-self-other-vector3-anyangle" aria-label="Permalink to &quot;&amp;emsp; ***def*** `cal_angle(self, other: &#39;Vector3&#39;) -&gt; &#39;AnyAngle&#39;`&quot;"></a></h3><p> 计算两个向量之间的夹角。</p><p>Args:</p><pre><code>other: 另一个向量
</code></pre><p>Returns:</p><pre><code>夹角
</code></pre><details><summary>源代码</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cal_angle</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;AnyAngle&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 计算两个向量之间的夹角。</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一个向量</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 夹角</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AnyAngle(math.acos(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> @</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.length)), </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">is_radian</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="emsp-def-cross-self-other-vector3-vector3" tabindex="-1"> <em><strong>def</strong></em> <code>cross(self, other: &#39;Vector3&#39;) -&gt; &#39;Vector3&#39;</code> <a class="header-anchor" href="#emsp-def-cross-self-other-vector3-vector3" aria-label="Permalink to &quot;&amp;emsp; ***def*** `cross(self, other: &#39;Vector3&#39;) -&gt; &#39;Vector3&#39;`&quot;"></a></h3><p> 向量积 叉乘v1 cross v2 -&gt; v3</p><p>叉乘为0则两向量平行。</p><p>其余结果的模为平行四边形的面积。</p><p>返回如下行列式的结果:</p><p><code>i j k</code></p><p><code>x1 y1 z1</code></p><p><code>x2 y2 z2</code></p><p>Args:</p><pre><code>other:
</code></pre><p>Returns:</p><pre><code>行列式的结果
</code></pre><details><summary>源代码</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> cross</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 向量积 叉乘v1 cross v2 -&gt; v3</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 叉乘为0则两向量平行。</span></span>
<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>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 返回如下行列式的结果:</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ``i j k``</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ``x1 y1 z1``</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ``x2 y2 z2``</span></span>
<span class="line"></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 行列式的结果</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Vector3(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.z, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> other.x)</span></span></code></pre></div></details><h3 id="emsp-def-is-approx-parallel-self-other-vector3-epsilon-float-bool" tabindex="-1"> <em><strong>def</strong></em> <code>is_approx_parallel(self, other: &#39;Vector3&#39;, epsilon: float) -&gt; bool</code> <a class="header-anchor" href="#emsp-def-is-approx-parallel-self-other-vector3-epsilon-float-bool" aria-label="Permalink to &quot;&amp;emsp; ***def*** `is_approx_parallel(self, other: &#39;Vector3&#39;, epsilon: float) -&gt; bool`&quot;"></a></h3><p> 判断两个向量是否近似平行。</p><p>Args:</p><pre><code>other: 另一个向量
epsilon: 允许的误差
</code></pre><p>Returns:</p><pre><code>是否近似平行
</code></pre><details><summary>源代码</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_approx_parallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, epsilon: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">APPROX</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两个向量是否近似平行。</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一个向量</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> epsilon: 允许的误差</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;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cross(other).length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> epsilon</span></span></code></pre></div></details><h3 id="emsp-def-is-parallel-self-other-vector3-bool" tabindex="-1"> <em><strong>def</strong></em> <code>is_parallel(self, other: &#39;Vector3&#39;) -&gt; bool</code> <a class="header-anchor" href="#emsp-def-is-parallel-self-other-vector3-bool" aria-label="Permalink to &quot;&amp;emsp; ***def*** `is_parallel(self, other: &#39;Vector3&#39;) -&gt; bool`&quot;"></a></h3><p> 判断两个向量是否平行。</p><p>Args:</p><pre><code>other: 另一个向量
</code></pre><p>Returns:</p><pre><code>是否平行
</code></pre><details><summary>源代码</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> is_parallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self, other: </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 判断两个向量是否平行。</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> other: 另一个向量</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 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;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.cross(other).approx(zero_vector3)</span></span></code></pre></div></details><h3 id="emsp-def-normalize-self-none" tabindex="-1"> <em><strong>def</strong></em> <code>normalize(self) -&gt; None</code> <a class="header-anchor" href="#emsp-def-normalize-self-none" aria-label="Permalink to &quot;&amp;emsp; ***def*** `normalize(self) -&gt; None`&quot;"></a></h3><p> 将向量归一化。</p><p>自体归一化,不返回值。</p><details><summary>源代码</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> normalize</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self):</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<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;"> &quot;&quot;&quot;</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><h3 id="emsp-property" tabindex="-1"> <em><strong>@property</strong></em> <a class="header-anchor" href="#emsp-property" aria-label="Permalink to &quot;&amp;emsp; ***@property***&quot;"></a></h3><h3 id="emsp-def-np-array-self-any-np-ndarray" tabindex="-1"> <em><strong>def</strong></em> <code>np_array(self: Any) -&gt; &#39;np.ndarray&#39;</code> <a class="header-anchor" href="#emsp-def-np-array-self-any-np-ndarray" aria-label="Permalink to &quot;&amp;emsp; ***def*** `np_array(self: Any) -&gt; &#39;np.ndarray&#39;`&quot;"></a></h3><p>返回numpy数组</p><p>Returns:</p><details><summary>源代码</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> np_array</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;np.ndarray&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 返回numpy数组</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.array([</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z])</span></span></code></pre></div></details><h3 id="emsp-property-1" tabindex="-1"> <em><strong>@property</strong></em> <a class="header-anchor" href="#emsp-property-1" aria-label="Permalink to &quot;&amp;emsp; ***@property***&quot;"></a></h3><h3 id="emsp-def-length-self-any-float" tabindex="-1"> <em><strong>def</strong></em> <code>length(self: Any) -&gt; float</code> <a class="header-anchor" href="#emsp-def-length-self-any-float" aria-label="Permalink to &quot;&amp;emsp; ***def*** `length(self: Any) -&gt; float`&quot;"></a></h3><p> 向量的模。</p><p>Returns:</p><pre><code>
</code></pre><details><summary>源代码</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> length</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 向量的模。</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"></span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> math.sqrt(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.z </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div></details><h3 id="emsp-property-2" tabindex="-1"> <em><strong>@property</strong></em> <a class="header-anchor" href="#emsp-property-2" aria-label="Permalink to &quot;&amp;emsp; ***@property***&quot;"></a></h3><h3 id="emsp-def-unit-self-any-vector3" tabindex="-1"> <em><strong>def</strong></em> <code>unit(self: Any) -&gt; &#39;Vector3&#39;</code> <a class="header-anchor" href="#emsp-def-unit-self-any-vector3" aria-label="Permalink to &quot;&amp;emsp; ***def*** `unit(self: Any) -&gt; &#39;Vector3&#39;`&quot;"></a></h3><p> 获取该向量的单位向量。</p><p>Returns:</p><pre><code>单位向量
</code></pre><details><summary>源代码</summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">property</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> unit</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(self) -&gt; </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&#39;Vector3&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 获取该向量的单位向量。</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 单位向量</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> self</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.length</span></span></code></pre></div></details><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 &quot;***var*** `zero_vector3 = Vector3(0, 0, 0)`&quot;"></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 &quot;***var*** `x_axis = Vector3(1, 0, 0)`&quot;"></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 &quot;***var*** `y_axis = Vector3(0, 1, 0)`&quot;"></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 &quot;***var*** `z_axis = Vector3(0, 0, 1)`&quot;"></a></h3><h3 id="var-length-self-length" tabindex="-1"><em><strong>var</strong></em> <code>length = self.length</code> <a class="header-anchor" href="#var-length-self-length" aria-label="Permalink to &quot;***var*** `length = self.length`&quot;"></a></h3></div></div></main><footer class="VPDocFooter" data-v-aa782c77 data-v-f33b051d><!--[--><!--]--><!----><!----></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><!----><!--[--><!--]--></div></div>
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