茂之钳
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252 lines
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<div id="projectname">ViewDesignEngine
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 <span id="projectnumber">3.1.0</span>
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<div id="projectbrief">高性能 CAD 计算几何引擎</div>
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<div class="title">sdf_primitives.h</div> </div>
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<a href="sdf__primitives_8h.html">浏览该文件的文档.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#pragma once</span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="point_8h.html">vde/core/point.h</a>"</span></div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <cmath></span></div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <algorithm></span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keyword">namespace </span><a class="code" href="namespacevde_1_1sdf.html">vde::sdf</a> {</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">using</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">core::Point3D</a>;</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">using</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">core::Vector3D</a>;</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// Basic Primitives</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
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<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#ab544a3ebc4c0844b322b73bbbe4efb3f"> 68</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#ab544a3ebc4c0844b322b73bbbe4efb3f">sphere</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> radius) {</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">return</span> p.norm() - radius;</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> }</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
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<div class="line"><a name="l00096"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a380ebfe1b3b65d5ecc4efcb946b21834"> 96</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a380ebfe1b3b65d5ecc4efcb946b21834">box</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& half_extents) {</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> q = p.cwiseAbs() - half_extents;</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">return</span> q.cwiseMax(0.0).norm()</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  + std::min(std::max({q.x(), q.y(), q.z()}), 0.0);</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> }</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  </div>
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<div class="line"><a name="l00126"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a86cb35c74a31689629bdd6eaa67cc0cf"> 126</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a86cb35c74a31689629bdd6eaa67cc0cf">round_box</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& half_extents, <span class="keywordtype">double</span> r) {</div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> q = p.cwiseAbs() - half_extents;</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">return</span> q.cwiseMax(0.0).norm()</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  + std::min(std::max({q.x(), q.y(), q.z()}), 0.0)</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  - r;</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> }</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  </div>
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<div class="line"><a name="l00159"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a68591fa033f624bfc5b7b64404d8cf6f"> 159</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a68591fa033f624bfc5b7b64404d8cf6f">torus</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> major_radius, <span class="keywordtype">double</span> minor_radius) {</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordtype">double</span> qx = std::sqrt(p.x() * p.x() + p.z() * p.z()) - major_radius;</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordflow">return</span> std::sqrt(qx * qx + p.y() * p.y()) - minor_radius;</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> }</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
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<div class="line"><a name="l00189"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a2bf1185ede58f76cd513175fd4dfa4c5"> 189</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a2bf1185ede58f76cd513175fd4dfa4c5">capsule</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& a, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& b, <span class="keywordtype">double</span> radius) {</div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> pa = p - a;</div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> ba = b - a;</div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keywordtype">double</span> ba_sq = ba.squaredNorm();</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keywordflow">if</span> (ba_sq < 1e-30) {</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="comment">// Degenerate to sphere</span></div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keywordflow">return</span> pa.norm() - radius;</div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  }</div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keywordtype">double</span> h = std::clamp(pa.dot(ba) / ba_sq, 0.0, 1.0);</div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">return</span> (pa - ba * h).norm() - radius;</div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> }</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  </div>
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<div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a5d835536ef31f92fbc25643e34be3600"> 227</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a5d835536ef31f92fbc25643e34be3600">cylinder</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> radius, <span class="keywordtype">double</span> height) {</div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordtype">double</span> d_xz = std::sqrt(p.x() * p.x() + p.z() * p.z()) - radius;</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="keywordtype">double</span> d_y = std::abs(p.y()) - height * 0.5;</div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keywordflow">return</span> std::min(std::max(d_xz, d_y), 0.0)</div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  + std::sqrt(std::max(d_xz, 0.0) * std::max(d_xz, 0.0)</div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  + std::max(d_y, 0.0) * std::max(d_y, 0.0));</div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> }</div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  </div>
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<div class="line"><a name="l00261"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#adb1410817faf88bc7b727b151b466162"> 261</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#adb1410817faf88bc7b727b151b466162">plane</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& normal, <span class="keywordtype">double</span> offset) {</div>
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keywordflow">return</span> p.dot(normal) - offset;</div>
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<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> }</div>
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  </div>
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<div class="line"><a name="l00294"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a1e3a6cb5fc6231db51dbd5faaae9ca52"> 294</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a1e3a6cb5fc6231db51dbd5faaae9ca52">ellipsoid</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& radii) {</div>
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<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> pr(p.x() / radii.x(), p.y() / radii.y(), p.z() / radii.z());</div>
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<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <span class="keywordtype">double</span> k0 = pr.norm();</div>
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<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="keywordtype">double</span> k1 = <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>(p.x() / (radii.x() * radii.x()),</div>
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<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  p.y() / (radii.y() * radii.y()),</div>
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<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  p.z() / (radii.z() * radii.z())).norm();</div>
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<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="keywordflow">if</span> (k1 < 1e-30) {</div>
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<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="comment">// Degenerate: point at origin → distance = -min(radii)</span></div>
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<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="keywordflow">return</span> -std::min({radii.x(), radii.y(), radii.z()});</div>
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<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  }</div>
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<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keywordflow">return</span> k0 * (k0 - 1.0) / k1;</div>
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<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> }</div>
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<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  </div>
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<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
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<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> <span class="comment">// Parametric Primitives</span></div>
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<div class="line"><a name="l00309"></a><span class="lineno"> 309</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
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<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  </div>
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<div class="line"><a name="l00333"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a1fa4fb910bc945af4dd8eb3377efcb9b"> 333</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a1fa4fb910bc945af4dd8eb3377efcb9b">hex_prism</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> radius, <span class="keywordtype">double</span> height) {</div>
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<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="keywordtype">double</span> px = std::abs(p.x());</div>
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<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="keywordtype">double</span> pz = std::abs(p.z());</div>
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<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="comment">// 2D hexagon SDF (pointy-top in XZ plane)</span></div>
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<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="keywordtype">double</span> d_hex = std::max(px + pz * 0.577350269189626, pz * 1.154700538379252) - radius;</div>
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<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="comment">// Extrude along Y</span></div>
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<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="keywordflow">return</span> std::max(d_hex, std::abs(p.y()) - height * 0.5);</div>
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<div class="line"><a name="l00340"></a><span class="lineno"> 340</span> }</div>
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<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  </div>
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<div class="line"><a name="l00365"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a18a71c06ad9c47b49625f35840fdec42"> 365</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a18a71c06ad9c47b49625f35840fdec42">infinite_cylinder</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& axis, <span class="keywordtype">double</span> radius) {</div>
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<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordflow">return</span> p.cross(axis).norm() - radius;</div>
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<div class="line"><a name="l00367"></a><span class="lineno"> 367</span> }</div>
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<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  </div>
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<div class="line"><a name="l00393"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a8d194f407d16556b22a4665e3cd87960"> 393</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a8d194f407d16556b22a4665e3cd87960">wedge</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> w, <span class="keywordtype">double</span> h, <span class="keywordtype">double</span> d) {</div>
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<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> q = p.cwiseAbs() - <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>(w * 0.5, h * 0.5, d * 0.5);</div>
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<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="keywordtype">double</span> d_box = q.cwiseMax(0.0).norm()</div>
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<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  + std::min(std::max({q.x(), q.y(), q.z()}), 0.0);</div>
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<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <span class="comment">// Diagonal plane x - z ≤ 0 (i.e., z ≥ x)</span></div>
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<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  <span class="keywordtype">double</span> d_cut = (p.x() - p.z()) * 0.707106781186548; <span class="comment">// 1/√2</span></div>
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<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <span class="keywordflow">return</span> std::max(d_box, d_cut);</div>
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<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> }</div>
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<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  </div>
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<div class="line"><a name="l00402"></a><span class="lineno"> 402</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
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<div class="line"><a name="l00403"></a><span class="lineno"> 403</span> <span class="comment">// 2D Extrusions & Revolution</span></div>
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<div class="line"><a name="l00404"></a><span class="lineno"> 404</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
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<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  </div>
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<div class="line"><a name="l00428"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a272ae0d8cb0668d8ba8a4cd10d131a6e"> 428</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a272ae0d8cb0668d8ba8a4cd10d131a6e">extrusion</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& <span class="comment">/*p*/</span>, <span class="keywordtype">double</span> sdf_2d) {</div>
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<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  <span class="keywordflow">return</span> sdf_2d;</div>
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<div class="line"><a name="l00430"></a><span class="lineno"> 430</span> }</div>
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<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  </div>
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<div class="line"><a name="l00452"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a9e03a842ef7c53f32ed78aff015c8a0b"> 452</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a9e03a842ef7c53f32ed78aff015c8a0b">extrusion_bounded</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> sdf_2d, <span class="keywordtype">double</span> half_height) {</div>
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<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <span class="keywordflow">return</span> std::max(sdf_2d, std::abs(p.z()) - half_height);</div>
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<div class="line"><a name="l00454"></a><span class="lineno"> 454</span> }</div>
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<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  </div>
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<div class="line"><a name="l00479"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a87f81c43bc609732b4cd63fa619f4c3d"> 479</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a87f81c43bc609732b4cd63fa619f4c3d">revolution</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& <span class="comment">/*p*/</span>, <span class="keywordtype">double</span> sdf_2d, <span class="keywordtype">double</span> <span class="comment">/*offset*/</span>) {</div>
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<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <span class="keywordflow">return</span> sdf_2d;</div>
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<div class="line"><a name="l00481"></a><span class="lineno"> 481</span> }</div>
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<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  </div>
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<div class="line"><a name="l00483"></a><span class="lineno"> 483</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
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<div class="line"><a name="l00484"></a><span class="lineno"> 484</span> <span class="comment">// Complex Primitives (implemented in src/sdf/)</span></div>
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<div class="line"><a name="l00485"></a><span class="lineno"> 485</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
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<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  </div>
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<div class="line"><a name="l00507"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a049cefd36713ff9b184c0ad74dab96cf"> 507</a></span> [[nodiscard]] <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a049cefd36713ff9b184c0ad74dab96cf">cone</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> angle_rad, <span class="keywordtype">double</span> height);</div>
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<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  </div>
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<div class="line"><a name="l00530"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a3739a80b17c7ce591c56eedddb702a4e"> 530</a></span> [[nodiscard]] <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a3739a80b17c7ce591c56eedddb702a4e">triangular_prism</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& a, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& b,</div>
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<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& c, <span class="keywordtype">double</span> height);</div>
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<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  </div>
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<div class="line"><a name="l00552"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a01094a90a786e6ead7c7b36a2907f121"> 552</a></span> [[nodiscard]] <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a01094a90a786e6ead7c7b36a2907f121">link</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> length, <span class="keywordtype">double</span> major_r, <span class="keywordtype">double</span> minor_r);</div>
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<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  </div>
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<div class="line"><a name="l00575"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a533280217a42c14935de7c68f3191227"> 575</a></span> [[nodiscard]] <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a533280217a42c14935de7c68f3191227">infinite_cone</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& apex,</div>
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<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& axis, <span class="keywordtype">double</span> angle_rad);</div>
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<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  </div>
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<div class="line"><a name="l00578"></a><span class="lineno"> 578</span> } <span class="comment">// namespace vde::sdf</span></div>
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<div class="ttc" id="anamespacevde_1_1core_html_ab763c018d19e10e91a6c6d6ab2ccc8e0"><div class="ttname"><a href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">vde::core::Vector3D</a></div><div class="ttdeci">foundation::Vector3D Vector3D</div><div class="ttdoc">双精度三维向量（重新导出）</div><div class="ttdef"><b>Definition:</b> <a href="point_8h_source.html#l00049">point.h:49</a></div></div>
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<div class="ttc" id="anamespacevde_1_1core_html_ac6aed70c4b90d13f10217267cd7a1952"><div class="ttname"><a href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">vde::core::Point3D</a></div><div class="ttdeci">foundation::Point3D Point3D</div><div class="ttdoc">双精度三维点（重新导出）</div><div class="ttdef"><b>Definition:</b> <a href="point_8h_source.html#l00031">point.h:31</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html"><div class="ttname"><a href="namespacevde_1_1sdf.html">vde::sdf</a></div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00032">sdf_gradient.h:32</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a01094a90a786e6ead7c7b36a2907f121"><div class="ttname"><a href="namespacevde_1_1sdf.html#a01094a90a786e6ead7c7b36a2907f121">vde::sdf::link</a></div><div class="ttdeci">double link(const Point3D &p, double length, double major_r, double minor_r)</div><div class="ttdoc">双环链接体的 SDF（非内联实现）</div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a049cefd36713ff9b184c0ad74dab96cf"><div class="ttname"><a href="namespacevde_1_1sdf.html#a049cefd36713ff9b184c0ad74dab96cf">vde::sdf::cone</a></div><div class="ttdeci">double cone(const Point3D &p, double angle_rad, double height)</div><div class="ttdoc">圆锥台的 SDF（非内联实现）</div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a18a71c06ad9c47b49625f35840fdec42"><div class="ttname"><a href="namespacevde_1_1sdf.html#a18a71c06ad9c47b49625f35840fdec42">vde::sdf::infinite_cylinder</a></div><div class="ttdeci">double infinite_cylinder(const Point3D &p, const Vector3D &axis, double radius)</div><div class="ttdoc">无限长圆柱的 SDF</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00365">sdf_primitives.h:365</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a1e3a6cb5fc6231db51dbd5faaae9ca52"><div class="ttname"><a href="namespacevde_1_1sdf.html#a1e3a6cb5fc6231db51dbd5faaae9ca52">vde::sdf::ellipsoid</a></div><div class="ttdeci">double ellipsoid(const Point3D &p, const Point3D &radii)</div><div class="ttdoc">椭球体的 SDF（有界梯度近似）</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00294">sdf_primitives.h:294</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a1fa4fb910bc945af4dd8eb3377efcb9b"><div class="ttname"><a href="namespacevde_1_1sdf.html#a1fa4fb910bc945af4dd8eb3377efcb9b">vde::sdf::hex_prism</a></div><div class="ttdeci">double hex_prism(const Point3D &p, double radius, double height)</div><div class="ttdoc">正六棱柱的 SDF</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00333">sdf_primitives.h:333</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a272ae0d8cb0668d8ba8a4cd10d131a6e"><div class="ttname"><a href="namespacevde_1_1sdf.html#a272ae0d8cb0668d8ba8a4cd10d131a6e">vde::sdf::extrusion</a></div><div class="ttdeci">double extrusion(const Point3D &, double sdf_2d)</div><div class="ttdoc">二维 SDF 沿 Z 轴的无限挤出</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00428">sdf_primitives.h:428</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a2bf1185ede58f76cd513175fd4dfa4c5"><div class="ttname"><a href="namespacevde_1_1sdf.html#a2bf1185ede58f76cd513175fd4dfa4c5">vde::sdf::capsule</a></div><div class="ttdeci">double capsule(const Point3D &p, const Point3D &a, const Point3D &b, double radius)</div><div class="ttdoc">胶囊体的 SDF</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00189">sdf_primitives.h:189</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a3739a80b17c7ce591c56eedddb702a4e"><div class="ttname"><a href="namespacevde_1_1sdf.html#a3739a80b17c7ce591c56eedddb702a4e">vde::sdf::triangular_prism</a></div><div class="ttdeci">double triangular_prism(const Point3D &p, const Point3D &a, const Point3D &b, const Point3D &c, double height)</div><div class="ttdoc">三角棱柱的 SDF（非内联实现）</div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a380ebfe1b3b65d5ecc4efcb946b21834"><div class="ttname"><a href="namespacevde_1_1sdf.html#a380ebfe1b3b65d5ecc4efcb946b21834">vde::sdf::box</a></div><div class="ttdeci">double box(const Point3D &p, const Point3D &half_extents)</div><div class="ttdoc">轴对齐立方体的 SDF</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00096">sdf_primitives.h:96</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a533280217a42c14935de7c68f3191227"><div class="ttname"><a href="namespacevde_1_1sdf.html#a533280217a42c14935de7c68f3191227">vde::sdf::infinite_cone</a></div><div class="ttdeci">double infinite_cone(const Point3D &p, const Point3D &apex, const Vector3D &axis, double angle_rad)</div><div class="ttdoc">无限圆锥的 SDF（非内联实现）</div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a5d835536ef31f92fbc25643e34be3600"><div class="ttname"><a href="namespacevde_1_1sdf.html#a5d835536ef31f92fbc25643e34be3600">vde::sdf::cylinder</a></div><div class="ttdeci">double cylinder(const Point3D &p, double radius, double height)</div><div class="ttdoc">带平端盖的圆柱体 SDF</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00227">sdf_primitives.h:227</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a68591fa033f624bfc5b7b64404d8cf6f"><div class="ttname"><a href="namespacevde_1_1sdf.html#a68591fa033f624bfc5b7b64404d8cf6f">vde::sdf::torus</a></div><div class="ttdeci">double torus(const Point3D &p, double major_radius, double minor_radius)</div><div class="ttdoc">圆环面的 SDF</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00159">sdf_primitives.h:159</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a86cb35c74a31689629bdd6eaa67cc0cf"><div class="ttname"><a href="namespacevde_1_1sdf.html#a86cb35c74a31689629bdd6eaa67cc0cf">vde::sdf::round_box</a></div><div class="ttdeci">double round_box(const Point3D &p, const Point3D &half_extents, double r)</div><div class="ttdoc">圆角立方体的 SDF</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00126">sdf_primitives.h:126</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a87f81c43bc609732b4cd63fa619f4c3d"><div class="ttname"><a href="namespacevde_1_1sdf.html#a87f81c43bc609732b4cd63fa619f4c3d">vde::sdf::revolution</a></div><div class="ttdeci">double revolution(const Point3D &, double sdf_2d, double)</div><div class="ttdoc">二维轮廓绕 Y 轴的旋转体 SDF</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00479">sdf_primitives.h:479</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a8d194f407d16556b22a4665e3cd87960"><div class="ttname"><a href="namespacevde_1_1sdf.html#a8d194f407d16556b22a4665e3cd87960">vde::sdf::wedge</a></div><div class="ttdeci">double wedge(const Point3D &p, double w, double h, double d)</div><div class="ttdoc">楔形体的 SDF</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00393">sdf_primitives.h:393</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_a9e03a842ef7c53f32ed78aff015c8a0b"><div class="ttname"><a href="namespacevde_1_1sdf.html#a9e03a842ef7c53f32ed78aff015c8a0b">vde::sdf::extrusion_bounded</a></div><div class="ttdeci">double extrusion_bounded(const Point3D &p, double sdf_2d, double half_height)</div><div class="ttdoc">二维 SDF 的有限长度挤出</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00452">sdf_primitives.h:452</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_ab544a3ebc4c0844b322b73bbbe4efb3f"><div class="ttname"><a href="namespacevde_1_1sdf.html#ab544a3ebc4c0844b322b73bbbe4efb3f">vde::sdf::sphere</a></div><div class="ttdeci">double sphere(const Point3D &p, double radius)</div><div class="ttdoc">球体的 SDF</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00068">sdf_primitives.h:68</a></div></div>
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<div class="ttc" id="anamespacevde_1_1sdf_html_adb1410817faf88bc7b727b151b466162"><div class="ttname"><a href="namespacevde_1_1sdf.html#adb1410817faf88bc7b727b151b466162">vde::sdf::plane</a></div><div class="ttdeci">double plane(const Point3D &p, const Vector3D &normal, double offset)</div><div class="ttdoc">平面的 SDF</div><div class="ttdef"><b>Definition:</b> <a href="sdf__primitives_8h_source.html#l00261">sdf_primitives.h:261</a></div></div>
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