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data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math.utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-9035698b data-v-9035698b><div class="item" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/zht/api/mp_math/vector.html" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.mp_math.vector</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-1 collapsible collapsed is-link" data-v-9035698b data-v-9035698b><div class="item" tabindex="0" data-v-9035698b><div class="indicator" data-v-9035698b></div><a class="VPLink link link" href="/zht/api/particle/particle.html" data-v-9035698b><!--[--><h3 class="text" data-v-9035698b>mbcp.particle</h3><!--]--></a><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-9035698b><span class="vpi-chevron-right caret-icon" data-v-9035698b></span></div></div><div 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link" href="/zht/api/presets/model/" data-v-9035698b><!--[--><p class="text" data-v-9035698b>mbcp.presets.model</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-22f859ac data-v-ec7dbf3e><div class="VPDoc has-sidebar has-aside" data-v-ec7dbf3e data-v-40342069><!--[--><!--]--><div class="container" data-v-40342069><div class="aside" data-v-40342069><div class="aside-curtain" data-v-40342069></div><div class="aside-container" data-v-40342069><div class="aside-content" data-v-40342069><div class="VPDocAside" data-v-40342069 data-v-0ff3c77f><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-0ff3c77f data-v-e7b12e6e><div class="content" data-v-e7b12e6e><div class="outline-marker" data-v-e7b12e6e></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-e7b12e6e>頁面內容</div><ul class="VPDocOutlineItem root" data-v-e7b12e6e data-v-51c2c770><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-0ff3c77f></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-40342069><div class="content-container" data-v-40342069><!--[--><!--]--><main class="main" data-v-40342069><div style="position:relative;" class="vp-doc _zht_api_presets_model_model" data-v-40342069><div><h1 id="mbcp-presets-model" tabindex="-1">mbcp.presets.model <a class="header-anchor" href="#mbcp-presets-model" aria-label="Permalink to &quot;mbcp.presets.model&quot;">​</a></h1><p><strong>説明</strong>: 几何模型点集</p><h3 id="class-geometricmodels" tabindex="-1"><em><strong>class</strong></em> <code>GeometricModels</code> <a class="header-anchor" href="#class-geometricmodels" aria-label="Permalink to &quot;***class*** `GeometricModels`&quot;">​</a></h3><p><code>@staticmethod</code></p><h4 id="def-sphere-radius-float-density-float" tabindex="-1"><em><strong>def</strong></em> <code>sphere(radius: float, density: float)</code> <a class="header-anchor" href="#def-sphere-radius-float-density-float" aria-label="Permalink to &quot;***def*** `sphere(radius: float, density: float)`&quot;">​</a></h4><p><strong>説明</strong>: 生成球体上的点集。</p><p><strong>變數説明</strong>:</p><blockquote><ul><li>radius:</li><li>density:</li></ul></blockquote><p><strong>返回</strong>: List[Point3]: 球体上的点集。</p><details><summary><b>源碼</b> 或 <a href="https://github.com/snowykami/mbcp/tree/main/mbcp/presets/model/__init__.py#L12" target="_blank">於GitHub上查看</a></summary><div class="language-python vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">python</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">@</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">staticmethod</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">def</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> sphere</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(radius: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, density: </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">float</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">):</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 生成球体上的点集。</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Args:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> radius:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> density:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> Returns:</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> List[Point3]: 球体上的点集。</span></span>
<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 4</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.pi </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> radius </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">**</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span></span>
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> density)</span></span>
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> phi_list </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.arccos([clamp(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> +</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2.0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> *</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _ </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _ </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> range</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(num)])</span></span>
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> theta_list </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.sqrt(num </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.pi) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> phi_list</span></span>
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x_array </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> radius </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.sin(phi_list) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.cos(theta_list)</span></span>
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y_array </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> radius </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.sin(phi_list) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.sin(theta_list)</span></span>
<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> z_array </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> radius </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> np.cos(phi_list)</span></span>
<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [Point3(x_array[i], y_array[i], z_array[i]) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> range</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(num)]</span></span></code></pre></div></details></div></div></main><footer class="VPDocFooter" data-v-40342069 data-v-a4b38bd6><!--[--><!--]--><!----><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-a4b38bd6><span class="visually-hidden" id="doc-footer-aria-label" data-v-a4b38bd6>Pager</span><div class="pager" data-v-a4b38bd6><a class="VPLink link pager-link prev" href="/zht/api/presets/" data-v-a4b38bd6><!--[--><span class="desc" data-v-a4b38bd6>上一頁</span><span class="title" data-v-a4b38bd6>mbcp.presets</span><!--]--></a></div><div class="pager" data-v-a4b38bd6><a class="VPLink link pager-link next" href="/zht/api/presets/model/" data-v-a4b38bd6><!--[--><span class="desc" data-v-a4b38bd6>下一頁</span><span class="title" data-v-a4b38bd6>mbcp.presets.model</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-22f859ac data-v-e3ca6860><div class="container" data-v-e3ca6860><p class="message" data-v-e3ca6860>文檔由 <a href="https://vitepress.dev/">VitePress</a> 構建 | API引用由 <a href="https://github.com/LiteyukiStudio/litedoc">litedoc</a> 生成</p><p class="copyright" data-v-e3ca6860>Copyright (C) 2020-2024 SnowyKami. All Rights Reserved</p></div></footer><!--[--><!--]--></div></div>
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