茂之钳
474 lines
93 KiB
HTML
474 lines
93 KiB
HTML
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
|
|
<html xmlns="http://www.w3.org/1999/xhtml">
|
|
<head>
|
|
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
|
|
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
|
|
<meta name="generator" content="Doxygen 1.9.1"/>
|
|
<meta name="viewport" content="width=device-width, initial-scale=1"/>
|
|
<title>ViewDesignEngine: include/vde/sdf/sdf_gradient.h 源文件</title>
|
|
<link href="tabs.css" rel="stylesheet" type="text/css"/>
|
|
<script type="text/javascript" src="jquery.js"></script>
|
|
<script type="text/javascript" src="dynsections.js"></script>
|
|
<link href="navtree.css" rel="stylesheet" type="text/css"/>
|
|
<script type="text/javascript" src="resize.js"></script>
|
|
<script type="text/javascript" src="navtreedata.js"></script>
|
|
<script type="text/javascript" src="navtree.js"></script>
|
|
<link href="search/search.css" rel="stylesheet" type="text/css"/>
|
|
<script type="text/javascript" src="search/searchdata.js"></script>
|
|
<script type="text/javascript" src="search/search.js"></script>
|
|
<link href="doxygen.css" rel="stylesheet" type="text/css" />
|
|
</head>
|
|
<body>
|
|
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
|
|
<div id="titlearea">
|
|
<table cellspacing="0" cellpadding="0">
|
|
<tbody>
|
|
<tr style="height: 56px;">
|
|
<td id="projectalign" style="padding-left: 0.5em;">
|
|
<div id="projectname">ViewDesignEngine
|
|
 <span id="projectnumber">3.1.0</span>
|
|
</div>
|
|
<div id="projectbrief">高性能 CAD 计算几何引擎</div>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
</div>
|
|
<!-- end header part -->
|
|
<!-- 制作者 Doxygen 1.9.1 -->
|
|
<script type="text/javascript">
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
|
var searchBox = new SearchBox("searchBox", "search",false,'搜索','.html');
|
|
/* @license-end */
|
|
</script>
|
|
<script type="text/javascript" src="menudata.js"></script>
|
|
<script type="text/javascript" src="menu.js"></script>
|
|
<script type="text/javascript">
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
|
$(function() {
|
|
initMenu('',true,false,'search.php','搜索');
|
|
$(document).ready(function() { init_search(); });
|
|
});
|
|
/* @license-end */</script>
|
|
<div id="main-nav"></div>
|
|
</div><!-- top -->
|
|
<div id="side-nav" class="ui-resizable side-nav-resizable">
|
|
<div id="nav-tree">
|
|
<div id="nav-tree-contents">
|
|
<div id="nav-sync" class="sync"></div>
|
|
</div>
|
|
</div>
|
|
<div id="splitbar" style="-moz-user-select:none;"
|
|
class="ui-resizable-handle">
|
|
</div>
|
|
</div>
|
|
<script type="text/javascript">
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
|
$(document).ready(function(){initNavTree('sdf__gradient_8h_source.html',''); initResizable(); });
|
|
/* @license-end */
|
|
</script>
|
|
<div id="doc-content">
|
|
<!-- window showing the filter options -->
|
|
<div id="MSearchSelectWindow"
|
|
onmouseover="return searchBox.OnSearchSelectShow()"
|
|
onmouseout="return searchBox.OnSearchSelectHide()"
|
|
onkeydown="return searchBox.OnSearchSelectKey(event)">
|
|
</div>
|
|
|
|
<!-- iframe showing the search results (closed by default) -->
|
|
<div id="MSearchResultsWindow">
|
|
<iframe src="javascript:void(0)" frameborder="0"
|
|
name="MSearchResults" id="MSearchResults">
|
|
</iframe>
|
|
</div>
|
|
|
|
<div class="header">
|
|
<div class="headertitle">
|
|
<div class="title">sdf_gradient.h</div> </div>
|
|
</div><!--header-->
|
|
<div class="contents">
|
|
<a href="sdf__gradient_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>
|
|
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="sdf__primitives_8h.html">vde/sdf/sdf_primitives.h</a>"</span></div>
|
|
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="sdf__operations_8h.html">vde/sdf/sdf_operations.h</a>"</span></div>
|
|
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="point_8h.html">vde/core/point.h</a>"</span></div>
|
|
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <cmath></span></div>
|
|
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <functional></span></div>
|
|
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
|
|
<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html"> 32</a></span> <span class="keyword">namespace </span><a class="code" href="namespacevde_1_1sdf.html">vde::sdf</a> {</div>
|
|
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
|
|
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="keyword">using</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">core::Point3D</a>;</div>
|
|
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">using</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">core::Vector3D</a>;</div>
|
|
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
|
|
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// Finite-Difference Gradient</span></div>
|
|
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  </div>
|
|
<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#af260f5ad8965f5db556caf2a6e465fd9"> 65</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="namespacevde_1_1sdf.html#af260f5ad8965f5db556caf2a6e465fd9">gradient</a>(</div>
|
|
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keyword">const</span> std::function<<span class="keywordtype">double</span>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>&)>& f,</div>
|
|
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> h = 1e-6)</div>
|
|
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> {</div>
|
|
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> g;</div>
|
|
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordtype">double</span> inv_2h = 0.5 / h;</div>
|
|
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  g.x() = (f(<a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>(p.x() + h, p.y(), p.z())) - f(<a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>(p.x() - h, p.y(), p.z()))) * inv_2h;</div>
|
|
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  g.y() = (f(<a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>(p.x(), p.y() + h, p.z())) - f(<a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>(p.x(), p.y() - h, p.z()))) * inv_2h;</div>
|
|
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  g.z() = (f(<a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>(p.x(), p.y(), p.z() + h)) - f(<a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>(p.x(), p.y(), p.z() - h))) * inv_2h;</div>
|
|
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">return</span> g;</div>
|
|
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> }</div>
|
|
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
|
|
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// Gradient Result Struct</span></div>
|
|
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  </div>
|
|
<div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1GradResult.html"> 87</a></span> <span class="keyword">struct </span><a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a> {</div>
|
|
<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1GradResult.html#a02b5e17be035be5575fcf54c8cae069b"> 88</a></span>  <span class="keywordtype">double</span> <a class="code" href="structvde_1_1sdf_1_1GradResult.html#a02b5e17be035be5575fcf54c8cae069b">value</a>; </div>
|
|
<div class="line"><a name="l00089"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750"> 89</a></span>  <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>; </div>
|
|
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> };</div>
|
|
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  </div>
|
|
<div class="line"><a name="l00102"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#affdb6d73057aa00a86b58c5e383ffdf0"> 102</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a> <a class="code" href="namespacevde_1_1sdf.html#affdb6d73057aa00a86b58c5e383ffdf0">evaluate_with_gradient</a>(</div>
|
|
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keyword">const</span> std::function<<span class="keywordtype">double</span>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>&)>& f,</div>
|
|
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> h = 1e-6)</div>
|
|
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> {</div>
|
|
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">return</span> <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a>{f(p), <a class="code" href="namespacevde_1_1sdf.html#af260f5ad8965f5db556caf2a6e465fd9">gradient</a>(f, p, h)};</div>
|
|
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> }</div>
|
|
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
|
|
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment">// Parameter Gradients (Finite Difference)</span></div>
|
|
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
|
|
<div class="line"><a name="l00127"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a7d9d9c35a53af78240acf5f720733464"> 127</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a7d9d9c35a53af78240acf5f720733464">sphere_radius_gradient</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> h = 1e-6)</div>
|
|
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> {</div>
|
|
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">return</span> (<a class="code" href="namespacevde_1_1sdf.html#ab544a3ebc4c0844b322b73bbbe4efb3f">sphere</a>(p, radius + h) - <a class="code" href="namespacevde_1_1sdf.html#ab544a3ebc4c0844b322b73bbbe4efb3f">sphere</a>(p, radius - h)) / (2.0 * h);</div>
|
|
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> }</div>
|
|
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  </div>
|
|
<div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a65151d2d143574ecae106b734c549eb2"> 143</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a65151d2d143574ecae106b734c549eb2">box_extent_gradient</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>& extents,</div>
|
|
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordtype">int</span> axis, <span class="keywordtype">double</span> h = 1e-6)</div>
|
|
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> {</div>
|
|
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> ext_plus = extents;</div>
|
|
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> ext_minus = extents;</div>
|
|
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  ext_plus[axis] += h;</div>
|
|
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  ext_minus[axis] -= h;</div>
|
|
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">return</span> (<a class="code" href="namespacevde_1_1sdf.html#a380ebfe1b3b65d5ecc4efcb946b21834">box</a>(p, ext_plus) - <a class="code" href="namespacevde_1_1sdf.html#a380ebfe1b3b65d5ecc4efcb946b21834">box</a>(p, ext_minus)) / (2.0 * h);</div>
|
|
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> }</div>
|
|
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  </div>
|
|
<div class="line"><a name="l00162"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#ac8004df170f9bc30341042677068bdf8"> 162</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#ac8004df170f9bc30341042677068bdf8">torus_major_gradient</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> major_r, <span class="keywordtype">double</span> minor_r,</div>
|
|
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordtype">double</span> h = 1e-6)</div>
|
|
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> {</div>
|
|
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keywordflow">return</span> (<a class="code" href="namespacevde_1_1sdf.html#a68591fa033f624bfc5b7b64404d8cf6f">torus</a>(p, major_r + h, minor_r) - <a class="code" href="namespacevde_1_1sdf.html#a68591fa033f624bfc5b7b64404d8cf6f">torus</a>(p, major_r - h, minor_r)) / (2.0 * h);</div>
|
|
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> }</div>
|
|
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  </div>
|
|
<div class="line"><a name="l00173"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a8ab074db684a34dd527db44f4571515e"> 173</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a8ab074db684a34dd527db44f4571515e">torus_minor_gradient</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> major_r, <span class="keywordtype">double</span> minor_r,</div>
|
|
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordtype">double</span> h = 1e-6)</div>
|
|
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> {</div>
|
|
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keywordflow">return</span> (<a class="code" href="namespacevde_1_1sdf.html#a68591fa033f624bfc5b7b64404d8cf6f">torus</a>(p, major_r, minor_r + h) - <a class="code" href="namespacevde_1_1sdf.html#a68591fa033f624bfc5b7b64404d8cf6f">torus</a>(p, major_r, minor_r - h)) / (2.0 * h);</div>
|
|
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> }</div>
|
|
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  </div>
|
|
<div class="line"><a name="l00188"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a67cf56e19046940858f37b9916a75760"> 188</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a67cf56e19046940858f37b9916a75760">cylinder_height_gradient</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>
|
|
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keywordtype">double</span> h = 1e-6)</div>
|
|
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> {</div>
|
|
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordflow">return</span> (<a class="code" href="namespacevde_1_1sdf.html#a5d835536ef31f92fbc25643e34be3600">cylinder</a>(p, radius, height + h) - <a class="code" href="namespacevde_1_1sdf.html#a5d835536ef31f92fbc25643e34be3600">cylinder</a>(p, radius, height - h)) / (2.0 * h);</div>
|
|
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> }</div>
|
|
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  </div>
|
|
<div class="line"><a name="l00199"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a3022e3d0f6b0ce5fb1874571f1edb481"> 199</a></span> [[nodiscard]] <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacevde_1_1sdf.html#a3022e3d0f6b0ce5fb1874571f1edb481">cylinder_radius_gradient</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>
|
|
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keywordtype">double</span> h = 1e-6)</div>
|
|
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> {</div>
|
|
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keywordflow">return</span> (<a class="code" href="namespacevde_1_1sdf.html#a5d835536ef31f92fbc25643e34be3600">cylinder</a>(p, radius + h, height) - <a class="code" href="namespacevde_1_1sdf.html#a5d835536ef31f92fbc25643e34be3600">cylinder</a>(p, radius - h, height)) / (2.0 * h);</div>
|
|
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> }</div>
|
|
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  </div>
|
|
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> <span class="comment">// Analytical Gradients (Exact)</span></div>
|
|
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  </div>
|
|
<div class="line"><a name="l00223"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a0d6a68d57b617b8b9033d96ac6140a16"> 223</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="namespacevde_1_1sdf.html#a0d6a68d57b617b8b9033d96ac6140a16">sphere_gradient_analytic</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> <span class="comment">/*radius*/</span>)</div>
|
|
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> {</div>
|
|
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordtype">double</span> n = p.norm();</div>
|
|
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keywordflow">if</span> (n < 1e-30) <span class="keywordflow">return</span> Vector3D::Zero();</div>
|
|
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keywordflow">return</span> p / n;</div>
|
|
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> }</div>
|
|
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  </div>
|
|
<div class="line"><a name="l00243"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a954757be09c6eafe3d8524e34d6cfe5a"> 243</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="namespacevde_1_1sdf.html#a954757be09c6eafe3d8524e34d6cfe5a">box_gradient_analytic</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>
|
|
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> {</div>
|
|
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> g = Vector3D::Zero();</div>
|
|
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keywordflow">if</span> (std::abs(p.x()) > half_extents.x()) g.x() = (p.x() > 0.0 ? 1.0 : -1.0);</div>
|
|
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keywordflow">if</span> (std::abs(p.y()) > half_extents.y()) g.y() = (p.y() > 0.0 ? 1.0 : -1.0);</div>
|
|
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="keywordflow">if</span> (std::abs(p.z()) > half_extents.z()) g.z() = (p.z() > 0.0 ? 1.0 : -1.0);</div>
|
|
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  </div>
|
|
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="comment">// For interior: gradient points toward nearest face</span></div>
|
|
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">if</span> (g.norm() < 1e-30 && half_extents.norm() > 1e-30) {</div>
|
|
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="comment">// Find the dimension where the point is closest to a face</span></div>
|
|
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> q = <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>(</div>
|
|
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  half_extents.x() - std::abs(p.x()),</div>
|
|
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  half_extents.y() - std::abs(p.y()),</div>
|
|
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  half_extents.z() - std::abs(p.z())</div>
|
|
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  );</div>
|
|
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="comment">// Smallest q component = closest face</span></div>
|
|
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">if</span> (q.x() <= q.y() && q.x() <= q.z()) g.x() = (p.x() >= 0.0 ? 1.0 : -1.0);</div>
|
|
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (q.y() <= q.x() && q.y() <= q.z()) g.y() = (p.y() >= 0.0 ? 1.0 : -1.0);</div>
|
|
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keywordflow">else</span> g.z() = (p.z() >= 0.0 ? 1.0 : -1.0);</div>
|
|
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  }</div>
|
|
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keywordflow">return</span> g;</div>
|
|
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> }</div>
|
|
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  </div>
|
|
<div class="line"><a name="l00280"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a9d23eb598738b3053c9b774e27af0418"> 280</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="namespacevde_1_1sdf.html#a9d23eb598738b3053c9b774e27af0418">torus_gradient_analytic</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> major_r, <span class="keywordtype">double</span> minor_r)</div>
|
|
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> {</div>
|
|
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keywordtype">double</span> rho = std::sqrt(p.x() * p.x() + p.z() * p.z());</div>
|
|
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="keywordflow">if</span> (rho < 1e-30) {</div>
|
|
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="comment">// On the Y axis: x and z gradients are 0 by symmetry;</span></div>
|
|
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="comment">// y gradient = py / sqrt(major² + py²)</span></div>
|
|
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="keywordtype">double</span> inner = std::sqrt(major_r * major_r + p.y() * p.y());</div>
|
|
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keywordflow">if</span> (inner < 1e-30) <span class="keywordflow">return</span> Vector3D::Zero();</div>
|
|
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keywordflow">return</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>(0.0, p.y() / inner, 0.0);</div>
|
|
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  }</div>
|
|
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="keywordtype">double</span> inner = std::sqrt((rho - major_r) * (rho - major_r) + p.y() * p.y());</div>
|
|
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="keywordflow">if</span> (inner < 1e-30) <span class="keywordflow">return</span> Vector3D::Zero();</div>
|
|
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <span class="keywordtype">double</span> d_rho = (rho - major_r) / inner;</div>
|
|
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="keywordflow">return</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>(</div>
|
|
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  d_rho * p.x() / rho,</div>
|
|
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  p.y() / inner,</div>
|
|
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  d_rho * p.z() / rho</div>
|
|
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  );</div>
|
|
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span> }</div>
|
|
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  </div>
|
|
<div class="line"><a name="l00312"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a1dd78ab7c46238fff4f470179c5ad70d"> 312</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="namespacevde_1_1sdf.html#a1dd78ab7c46238fff4f470179c5ad70d">cylinder_gradient_analytic</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p, <span class="keywordtype">double</span> <span class="comment">/*radius*/</span>)</div>
|
|
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> {</div>
|
|
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <span class="keywordtype">double</span> rho = std::sqrt(p.x() * p.x() + p.z() * p.z());</div>
|
|
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keywordflow">if</span> (rho < 1e-30) <span class="keywordflow">return</span> Vector3D::UnitY(); <span class="comment">// degenerate case: along the axis</span></div>
|
|
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="keywordflow">return</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>(p.x() / rho, 0.0, p.z() / rho);</div>
|
|
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> }</div>
|
|
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  </div>
|
|
<div class="line"><a name="l00331"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a8e83bae2a1a877a29c7a1e42148e8061"> 331</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="namespacevde_1_1sdf.html#a8e83bae2a1a877a29c7a1e42148e8061">plane_gradient_analytic</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& normal)</div>
|
|
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span> {</div>
|
|
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <span class="keywordflow">return</span> normal;</div>
|
|
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span> }</div>
|
|
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  </div>
|
|
<div class="line"><a name="l00354"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a29f036b4b8a09ecca3ad179028689f2e"> 354</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="namespacevde_1_1sdf.html#a29f036b4b8a09ecca3ad179028689f2e">capsule_gradient_analytic</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p,</div>
|
|
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <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>
|
|
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="keywordtype">double</span> radius)</div>
|
|
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span> {</div>
|
|
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> pa = p - a;</div>
|
|
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> ba = b - a;</div>
|
|
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <span class="keywordtype">double</span> ba_sq = ba.squaredNorm();</div>
|
|
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <span class="keywordflow">if</span> (ba_sq < 1e-30) {</div>
|
|
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="comment">// Degenerate to sphere</span></div>
|
|
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  <span class="keywordtype">double</span> n = pa.norm();</div>
|
|
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="keywordflow">if</span> (n < 1e-30) <span class="keywordflow">return</span> Vector3D::Zero();</div>
|
|
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="keywordflow">return</span> pa / n;</div>
|
|
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  }</div>
|
|
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <span class="keywordtype">double</span> h = std::clamp(pa.dot(ba) / ba_sq, 0.0, 1.0);</div>
|
|
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> closest = a + ba * h;</div>
|
|
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> delta = p - closest;</div>
|
|
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordtype">double</span> d = delta.norm();</div>
|
|
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  <span class="keywordflow">if</span> (d < 1e-30) <span class="keywordflow">return</span> Vector3D::Zero();</div>
|
|
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <span class="keywordflow">return</span> delta / d;</div>
|
|
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> }</div>
|
|
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  </div>
|
|
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> <span class="comment">// Chain Rule for CSG Operations</span></div>
|
|
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  </div>
|
|
<div class="line"><a name="l00394"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a63869bc353ef53c2182ac4146121de42"> 394</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="namespacevde_1_1sdf.html#a63869bc353ef53c2182ac4146121de42">chain_union</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& grad_a, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& grad_b,</div>
|
|
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2)</div>
|
|
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span> {</div>
|
|
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <span class="keywordflow">return</span> (d1 < d2) ? grad_a : grad_b;</div>
|
|
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span> }</div>
|
|
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  </div>
|
|
<div class="line"><a name="l00407"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a9e63208b304a8cb22d9272ecc9f4df71"> 407</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="namespacevde_1_1sdf.html#a9e63208b304a8cb22d9272ecc9f4df71">chain_intersection</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& grad_a, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& grad_b,</div>
|
|
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2)</div>
|
|
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span> {</div>
|
|
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  <span class="keywordflow">return</span> (d1 > d2) ? grad_a : grad_b;</div>
|
|
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> }</div>
|
|
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  </div>
|
|
<div class="line"><a name="l00424"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a32e668de9dbb700500d2f03bccbe144d"> 424</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="namespacevde_1_1sdf.html#a32e668de9dbb700500d2f03bccbe144d">chain_difference</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& grad_a, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& grad_b,</div>
|
|
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  <span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2)</div>
|
|
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span> {</div>
|
|
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  <span class="keywordflow">return</span> (d1 > -d2) ? grad_a : <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>(-grad_b.x(), -grad_b.y(), -grad_b.z());</div>
|
|
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span> }</div>
|
|
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  </div>
|
|
<div class="line"><a name="l00452"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a19fea8b2d967c28d703fc742f37da5c0"> 452</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="namespacevde_1_1sdf.html#a19fea8b2d967c28d703fc742f37da5c0">chain_smooth_union</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& grad_a, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& grad_b,</div>
|
|
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2, <span class="keywordtype">double</span> k)</div>
|
|
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span> {</div>
|
|
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  <span class="keywordflow">if</span> (k <= 0.0) <span class="keywordflow">return</span> <a class="code" href="namespacevde_1_1sdf.html#a63869bc353ef53c2182ac4146121de42">chain_union</a>(grad_a, grad_b, d1, d2);</div>
|
|
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  <span class="keywordtype">double</span> h = std::clamp(0.5 + 0.5 * (d1 - d2) / k, 0.0, 1.0);</div>
|
|
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  <span class="keywordflow">if</span> (h <= 0.0) <span class="keywordflow">return</span> grad_a;</div>
|
|
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  <span class="keywordflow">if</span> (h >= 1.0) <span class="keywordflow">return</span> grad_b;</div>
|
|
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  </div>
|
|
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  <span class="comment">// Full derivatives w.r.t. d1, d2:</span></div>
|
|
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <span class="comment">// ∂f/∂d1 = 2 - 3h, ∂f/∂d2 = 3h - 1</span></div>
|
|
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  <span class="keywordtype">double</span> w1 = 2.0 - 3.0 * h;</div>
|
|
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <span class="keywordtype">double</span> w2 = 3.0 * h - 1.0;</div>
|
|
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <span class="keywordflow">return</span> grad_a * w1 + grad_b * w2;</div>
|
|
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span> }</div>
|
|
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  </div>
|
|
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span> <span class="comment">// Chain Rule for Domain Transforms</span></div>
|
|
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  </div>
|
|
<div class="line"><a name="l00481"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#ad010ebbc9197cfb190a07fa9b1c50203"> 481</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a> <a class="code" href="namespacevde_1_1sdf.html#ad010ebbc9197cfb190a07fa9b1c50203">chain_translate</a>(<span class="keyword">const</span> <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a>& child_result, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& <span class="comment">/*offset*/</span>)</div>
|
|
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span> {</div>
|
|
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  <span class="keywordflow">return</span> child_result;</div>
|
|
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span> }</div>
|
|
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  </div>
|
|
<div class="line"><a name="l00498"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a63e4e6480b8a7c2ea1b0d9a3d90ecece"> 498</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a> <a class="code" href="namespacevde_1_1sdf.html#a63e4e6480b8a7c2ea1b0d9a3d90ecece">chain_rotate</a>(<span class="keyword">const</span> <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a>& child_result, <span class="keywordtype">double</span> angle_rad)</div>
|
|
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span> {</div>
|
|
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a> result = child_result;</div>
|
|
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  <span class="keywordtype">double</span> c = std::cos(angle_rad);</div>
|
|
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  <span class="keywordtype">double</span> s = std::sin(angle_rad);</div>
|
|
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  <span class="comment">// R(θ) = [[c, 0, -s], [0, 1, 0], [s, 0, c]]</span></div>
|
|
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a> = <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>(</div>
|
|
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  c * child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.x() - s * child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.z(),</div>
|
|
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.y(),</div>
|
|
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  s * child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.x() + c * child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.z()</div>
|
|
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  );</div>
|
|
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  <span class="keywordflow">return</span> result;</div>
|
|
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span> }</div>
|
|
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  </div>
|
|
<div class="line"><a name="l00525"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#aa55afba264eae4d7e939a3ab61aac641"> 525</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a> <a class="code" href="namespacevde_1_1sdf.html#aa55afba264eae4d7e939a3ab61aac641">chain_scale</a>(<span class="keyword">const</span> <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a>& child_result, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& factors)</div>
|
|
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span> {</div>
|
|
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a> result = child_result;</div>
|
|
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a> = <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>(</div>
|
|
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.x() / factors.x(),</div>
|
|
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.y() / factors.y(),</div>
|
|
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.z() / factors.z()</div>
|
|
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  );</div>
|
|
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  <span class="keywordflow">return</span> result;</div>
|
|
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span> }</div>
|
|
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  </div>
|
|
<div class="line"><a name="l00558"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a2653a2bd7631cd47cb912a3275e70bfb"> 558</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a> <a class="code" href="namespacevde_1_1sdf.html#a2653a2bd7631cd47cb912a3275e70bfb">chain_twist</a>(<span class="keyword">const</span> <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a>& child_result,</div>
|
|
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  <span class="keywordtype">double</span> amount, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p)</div>
|
|
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span> {</div>
|
|
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  <span class="keywordtype">double</span> angle = amount * p.y();</div>
|
|
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  <span class="keywordtype">double</span> c = std::cos(angle);</div>
|
|
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  <span class="keywordtype">double</span> s = std::sin(angle);</div>
|
|
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  </div>
|
|
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  <span class="comment">// Forward-twisted position</span></div>
|
|
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  <span class="keywordtype">double</span> tp_x = p.x() * c - p.z() * s;</div>
|
|
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  <span class="keywordtype">double</span> tp_z = p.x() * s + p.z() * c;</div>
|
|
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  </div>
|
|
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a> result = child_result;</div>
|
|
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  </div>
|
|
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  <span class="comment">// Spatial part: inverse rotation R(-angle) applied to child gradient</span></div>
|
|
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  <span class="keywordtype">double</span> gx = c * child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.x() + s * child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.z();</div>
|
|
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  <span class="keywordtype">double</span> gz = -s * child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.x() + c * child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.z();</div>
|
|
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  </div>
|
|
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  <span class="comment">// Y-component: extra term from angle's dependence on p.y</span></div>
|
|
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <span class="comment">// ∂/∂y correction: amount * (tp_x * gz_child - tp_z * gx_child)</span></div>
|
|
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  <span class="keywordtype">double</span> gy = child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.y() + amount * (tp_x * child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.z()</div>
|
|
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  - tp_z * child_result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a>.x());</div>
|
|
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  </div>
|
|
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  result.<a class="code" href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">grad</a> = <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>(gx, gy, gz);</div>
|
|
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  <span class="keywordflow">return</span> result;</div>
|
|
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span> }</div>
|
|
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  </div>
|
|
<div class="line"><a name="l00597"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a68853a02d70632a2ec509b50ef53ac5d"> 597</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a> <a class="code" href="namespacevde_1_1sdf.html#a68853a02d70632a2ec509b50ef53ac5d">chain_repeat</a>(<span class="keyword">const</span> <a class="code" href="structvde_1_1sdf_1_1GradResult.html">GradResult</a>& child_result,</div>
|
|
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& <span class="comment">/*cell*/</span>, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& <span class="comment">/*p*/</span>)</div>
|
|
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span> {</div>
|
|
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  <span class="keywordflow">return</span> child_result;</div>
|
|
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span> }</div>
|
|
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  </div>
|
|
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span> <span class="comment">// Parameter Gradient Vector (All Shape Params)</span></div>
|
|
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span> <span class="comment">// ═══════════════════════════════════════════════</span></div>
|
|
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  </div>
|
|
<div class="line"><a name="l00618"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1ParamGrad.html"> 618</a></span> <span class="keyword">struct </span><a class="code" href="structvde_1_1sdf_1_1ParamGrad.html">ParamGrad</a> {</div>
|
|
<div class="line"><a name="l00619"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1ParamGrad.html#ac817d77c70e8eaebc1fcc01b0a95713c"> 619</a></span>  <span class="keywordtype">double</span> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#ac817d77c70e8eaebc1fcc01b0a95713c">d_radius</a> = 0.0; </div>
|
|
<div class="line"><a name="l00620"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1ParamGrad.html#a0cee53e1b6645b74bfdf035c7cab6991"> 620</a></span>  <span class="keywordtype">double</span> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#a0cee53e1b6645b74bfdf035c7cab6991">d_height</a> = 0.0; </div>
|
|
<div class="line"><a name="l00621"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1ParamGrad.html#adf5f920898bedc69eaebbc0454e56fab"> 621</a></span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#adf5f920898bedc69eaebbc0454e56fab">d_extents</a> = Point3D::Zero(); </div>
|
|
<div class="line"><a name="l00622"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1ParamGrad.html#a542da2b37494620eda752f9ce5895e3e"> 622</a></span>  <span class="keywordtype">double</span> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#a542da2b37494620eda752f9ce5895e3e">d_major</a> = 0.0; </div>
|
|
<div class="line"><a name="l00623"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1ParamGrad.html#a160b331ecbaec77c2f250049d940f933"> 623</a></span>  <span class="keywordtype">double</span> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#a160b331ecbaec77c2f250049d940f933">d_minor</a> = 0.0; </div>
|
|
<div class="line"><a name="l00624"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1ParamGrad.html#af0526ad9a5cbc4bce5cc2728ade2a8cb"> 624</a></span>  <span class="keywordtype">double</span> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#af0526ad9a5cbc4bce5cc2728ade2a8cb">d_angle</a> = 0.0; </div>
|
|
<div class="line"><a name="l00625"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1ParamGrad.html#a4df8649faa7123d8bf50f33f706947cb"> 625</a></span>  <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#a4df8649faa7123d8bf50f33f706947cb">d_normal</a> = Vector3D::Zero(); </div>
|
|
<div class="line"><a name="l00626"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1ParamGrad.html#a39fbb6fe30cf41459d1c6af0457be19d"> 626</a></span>  <span class="keywordtype">double</span> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#a39fbb6fe30cf41459d1c6af0457be19d">d_offset</a> = 0.0; </div>
|
|
<div class="line"><a name="l00627"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1ParamGrad.html#a04b6b121540385e2a0530424f750462c"> 627</a></span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#a04b6b121540385e2a0530424f750462c">d_translate</a> = Point3D::Zero(); </div>
|
|
<div class="line"><a name="l00628"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1ParamGrad.html#a2b3429092a79b0f5cc8308ed013de0fa"> 628</a></span>  <span class="keywordtype">double</span> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#a2b3429092a79b0f5cc8308ed013de0fa">d_rotate</a> = 0.0; </div>
|
|
<div class="line"><a name="l00629"></a><span class="lineno"><a class="line" href="structvde_1_1sdf_1_1ParamGrad.html#a875b63dad38bd5207ea5f5cd3f2bf19d"> 629</a></span>  <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#a875b63dad38bd5207ea5f5cd3f2bf19d">d_scale</a> = Point3D::Zero(); </div>
|
|
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span> };</div>
|
|
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  </div>
|
|
<div class="line"><a name="l00642"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a2cdf3747a6427954f29546e3cee5722f"> 642</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html">ParamGrad</a> <a class="code" href="namespacevde_1_1sdf.html#a2cdf3747a6427954f29546e3cee5722f">sphere_param_grad</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> h = 1e-6)</div>
|
|
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span> {</div>
|
|
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html">ParamGrad</a> pg;</div>
|
|
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  pg.<a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#ac817d77c70e8eaebc1fcc01b0a95713c">d_radius</a> = <a class="code" href="namespacevde_1_1sdf.html#a7d9d9c35a53af78240acf5f720733464">sphere_radius_gradient</a>(p, radius, h);</div>
|
|
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  <span class="keywordflow">return</span> pg;</div>
|
|
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span> }</div>
|
|
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  </div>
|
|
<div class="line"><a name="l00661"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#a2d471c3a1589a0d150b6d2748f953729"> 661</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html">ParamGrad</a> <a class="code" href="namespacevde_1_1sdf.html#a2d471c3a1589a0d150b6d2748f953729">box_param_grad</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>
|
|
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  <span class="keywordtype">double</span> h = 1e-6)</div>
|
|
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span> {</div>
|
|
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html">ParamGrad</a> pg;</div>
|
|
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  pg.<a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#adf5f920898bedc69eaebbc0454e56fab">d_extents</a>.x() = <a class="code" href="namespacevde_1_1sdf.html#a65151d2d143574ecae106b734c549eb2">box_extent_gradient</a>(p, half_extents, 0, h);</div>
|
|
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  pg.<a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#adf5f920898bedc69eaebbc0454e56fab">d_extents</a>.y() = <a class="code" href="namespacevde_1_1sdf.html#a65151d2d143574ecae106b734c549eb2">box_extent_gradient</a>(p, half_extents, 1, h);</div>
|
|
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  pg.<a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#adf5f920898bedc69eaebbc0454e56fab">d_extents</a>.z() = <a class="code" href="namespacevde_1_1sdf.html#a65151d2d143574ecae106b734c549eb2">box_extent_gradient</a>(p, half_extents, 2, h);</div>
|
|
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  <span class="keywordflow">return</span> pg;</div>
|
|
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span> }</div>
|
|
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  </div>
|
|
<div class="line"><a name="l00682"></a><span class="lineno"><a class="line" href="namespacevde_1_1sdf.html#ad5203b48e22b2816bdc72a2e69f83516"> 682</a></span> [[nodiscard]] <span class="keyword">inline</span> <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html">ParamGrad</a> <a class="code" href="namespacevde_1_1sdf.html#ad5203b48e22b2816bdc72a2e69f83516">cylinder_param_grad</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>
|
|
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>  <span class="keywordtype">double</span> h = 1e-6)</div>
|
|
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span> {</div>
|
|
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  <a class="code" href="structvde_1_1sdf_1_1ParamGrad.html">ParamGrad</a> pg;</div>
|
|
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  pg.<a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#ac817d77c70e8eaebc1fcc01b0a95713c">d_radius</a> = <a class="code" href="namespacevde_1_1sdf.html#a3022e3d0f6b0ce5fb1874571f1edb481">cylinder_radius_gradient</a>(p, radius, height, h);</div>
|
|
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  pg.<a class="code" href="structvde_1_1sdf_1_1ParamGrad.html#a0cee53e1b6645b74bfdf035c7cab6991">d_height</a> = <a class="code" href="namespacevde_1_1sdf.html#a67cf56e19046940858f37b9916a75760">cylinder_height_gradient</a>(p, radius, height, h);</div>
|
|
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  <span class="keywordflow">return</span> pg;</div>
|
|
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span> }</div>
|
|
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  </div>
|
|
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span> } <span class="comment">// namespace vde::sdf</span></div>
|
|
<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>
|
|
<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>
|
|
<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>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a0d6a68d57b617b8b9033d96ac6140a16"><div class="ttname"><a href="namespacevde_1_1sdf.html#a0d6a68d57b617b8b9033d96ac6140a16">vde::sdf::sphere_gradient_analytic</a></div><div class="ttdeci">Vector3D sphere_gradient_analytic(const Point3D &p, double)</div><div class="ttdoc">球体 SDF 的解析梯度</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00223">sdf_gradient.h:223</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a19fea8b2d967c28d703fc742f37da5c0"><div class="ttname"><a href="namespacevde_1_1sdf.html#a19fea8b2d967c28d703fc742f37da5c0">vde::sdf::chain_smooth_union</a></div><div class="ttdeci">Vector3D chain_smooth_union(const Vector3D &grad_a, const Vector3D &grad_b, double d1, double d2, double k)</div><div class="ttdoc">平滑并集操作的梯度传递（含完整链式法则）</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00452">sdf_gradient.h:452</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a1dd78ab7c46238fff4f470179c5ad70d"><div class="ttname"><a href="namespacevde_1_1sdf.html#a1dd78ab7c46238fff4f470179c5ad70d">vde::sdf::cylinder_gradient_analytic</a></div><div class="ttdeci">Vector3D cylinder_gradient_analytic(const Point3D &p, double)</div><div class="ttdoc">无限圆柱（沿 Y 轴）的解析梯度</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00312">sdf_gradient.h:312</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a2653a2bd7631cd47cb912a3275e70bfb"><div class="ttname"><a href="namespacevde_1_1sdf.html#a2653a2bd7631cd47cb912a3275e70bfb">vde::sdf::chain_twist</a></div><div class="ttdeci">GradResult chain_twist(const GradResult &child_result, double amount, const Point3D &p)</div><div class="ttdoc">扭曲变换后的梯度传递（含完整雅可比）</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00558">sdf_gradient.h:558</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a29f036b4b8a09ecca3ad179028689f2e"><div class="ttname"><a href="namespacevde_1_1sdf.html#a29f036b4b8a09ecca3ad179028689f2e">vde::sdf::capsule_gradient_analytic</a></div><div class="ttdeci">Vector3D capsule_gradient_analytic(const Point3D &p, const Point3D &a, const Point3D &b, double radius)</div><div class="ttdoc">胶囊体 SDF 的解析梯度</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00354">sdf_gradient.h:354</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a2cdf3747a6427954f29546e3cee5722f"><div class="ttname"><a href="namespacevde_1_1sdf.html#a2cdf3747a6427954f29546e3cee5722f">vde::sdf::sphere_param_grad</a></div><div class="ttdeci">ParamGrad sphere_param_grad(const Point3D &p, double radius, double h=1e-6)</div><div class="ttdoc">球体所有参数的梯度（当前仅 radius 有意义）</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00642">sdf_gradient.h:642</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a2d471c3a1589a0d150b6d2748f953729"><div class="ttname"><a href="namespacevde_1_1sdf.html#a2d471c3a1589a0d150b6d2748f953729">vde::sdf::box_param_grad</a></div><div class="ttdeci">ParamGrad box_param_grad(const Point3D &p, const Point3D &half_extents, double h=1e-6)</div><div class="ttdoc">长方体所有参数的梯度</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00661">sdf_gradient.h:661</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a3022e3d0f6b0ce5fb1874571f1edb481"><div class="ttname"><a href="namespacevde_1_1sdf.html#a3022e3d0f6b0ce5fb1874571f1edb481">vde::sdf::cylinder_radius_gradient</a></div><div class="ttdeci">double cylinder_radius_gradient(const Point3D &p, double radius, double height, double h=1e-6)</div><div class="ttdoc">圆柱 SDF 对半径的参数梯度 ∂f/∂radius</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00199">sdf_gradient.h:199</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a32e668de9dbb700500d2f03bccbe144d"><div class="ttname"><a href="namespacevde_1_1sdf.html#a32e668de9dbb700500d2f03bccbe144d">vde::sdf::chain_difference</a></div><div class="ttdeci">Vector3D chain_difference(const Vector3D &grad_a, const Vector3D &grad_b, double d1, double d2)</div><div class="ttdoc">差集操作后的梯度传递</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00424">sdf_gradient.h:424</a></div></div>
|
|
<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>
|
|
<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>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a63869bc353ef53c2182ac4146121de42"><div class="ttname"><a href="namespacevde_1_1sdf.html#a63869bc353ef53c2182ac4146121de42">vde::sdf::chain_union</a></div><div class="ttdeci">Vector3D chain_union(const Vector3D &grad_a, const Vector3D &grad_b, double d1, double d2)</div><div class="ttdoc">并集操作后的梯度传递</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00394">sdf_gradient.h:394</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a63e4e6480b8a7c2ea1b0d9a3d90ecece"><div class="ttname"><a href="namespacevde_1_1sdf.html#a63e4e6480b8a7c2ea1b0d9a3d90ecece">vde::sdf::chain_rotate</a></div><div class="ttdeci">GradResult chain_rotate(const GradResult &child_result, double angle_rad)</div><div class="ttdoc">绕 Y 轴旋转后的梯度传递</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00498">sdf_gradient.h:498</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a65151d2d143574ecae106b734c549eb2"><div class="ttname"><a href="namespacevde_1_1sdf.html#a65151d2d143574ecae106b734c549eb2">vde::sdf::box_extent_gradient</a></div><div class="ttdeci">double box_extent_gradient(const Point3D &p, const Point3D &extents, int axis, double h=1e-6)</div><div class="ttdoc">长方体 SDF 对各轴半尺寸的参数梯度 ∂f/∂extent[i]</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00143">sdf_gradient.h:143</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a67cf56e19046940858f37b9916a75760"><div class="ttname"><a href="namespacevde_1_1sdf.html#a67cf56e19046940858f37b9916a75760">vde::sdf::cylinder_height_gradient</a></div><div class="ttdeci">double cylinder_height_gradient(const Point3D &p, double radius, double height, double h=1e-6)</div><div class="ttdoc">圆柱 SDF 对高度的参数梯度 ∂f/∂height</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00188">sdf_gradient.h:188</a></div></div>
|
|
<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>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a68853a02d70632a2ec509b50ef53ac5d"><div class="ttname"><a href="namespacevde_1_1sdf.html#a68853a02d70632a2ec509b50ef53ac5d">vde::sdf::chain_repeat</a></div><div class="ttdeci">GradResult chain_repeat(const GradResult &child_result, const Point3D &, const Point3D &)</div><div class="ttdoc">周期重复后的梯度传递（梯度不变）</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00597">sdf_gradient.h:597</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a7d9d9c35a53af78240acf5f720733464"><div class="ttname"><a href="namespacevde_1_1sdf.html#a7d9d9c35a53af78240acf5f720733464">vde::sdf::sphere_radius_gradient</a></div><div class="ttdeci">double sphere_radius_gradient(const Point3D &p, double radius, double h=1e-6)</div><div class="ttdoc">球体 SDF 对半径的参数梯度 ∂f/∂r</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00127">sdf_gradient.h:127</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a8ab074db684a34dd527db44f4571515e"><div class="ttname"><a href="namespacevde_1_1sdf.html#a8ab074db684a34dd527db44f4571515e">vde::sdf::torus_minor_gradient</a></div><div class="ttdeci">double torus_minor_gradient(const Point3D &p, double major_r, double minor_r, double h=1e-6)</div><div class="ttdoc">圆环 SDF 对副半径的参数梯度 ∂f/∂minor_r</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00173">sdf_gradient.h:173</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a8e83bae2a1a877a29c7a1e42148e8061"><div class="ttname"><a href="namespacevde_1_1sdf.html#a8e83bae2a1a877a29c7a1e42148e8061">vde::sdf::plane_gradient_analytic</a></div><div class="ttdeci">Vector3D plane_gradient_analytic(const Vector3D &normal)</div><div class="ttdoc">平面的解析梯度</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00331">sdf_gradient.h:331</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a954757be09c6eafe3d8524e34d6cfe5a"><div class="ttname"><a href="namespacevde_1_1sdf.html#a954757be09c6eafe3d8524e34d6cfe5a">vde::sdf::box_gradient_analytic</a></div><div class="ttdeci">Vector3D box_gradient_analytic(const Point3D &p, const Point3D &half_extents)</div><div class="ttdoc">长方体 SDF 的解析梯度</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00243">sdf_gradient.h:243</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a9d23eb598738b3053c9b774e27af0418"><div class="ttname"><a href="namespacevde_1_1sdf.html#a9d23eb598738b3053c9b774e27af0418">vde::sdf::torus_gradient_analytic</a></div><div class="ttdeci">Vector3D torus_gradient_analytic(const Point3D &p, double major_r, double minor_r)</div><div class="ttdoc">圆环 SDF 的解析梯度</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00280">sdf_gradient.h:280</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_a9e63208b304a8cb22d9272ecc9f4df71"><div class="ttname"><a href="namespacevde_1_1sdf.html#a9e63208b304a8cb22d9272ecc9f4df71">vde::sdf::chain_intersection</a></div><div class="ttdeci">Vector3D chain_intersection(const Vector3D &grad_a, const Vector3D &grad_b, double d1, double d2)</div><div class="ttdoc">交集操作后的梯度传递</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00407">sdf_gradient.h:407</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_aa55afba264eae4d7e939a3ab61aac641"><div class="ttname"><a href="namespacevde_1_1sdf.html#aa55afba264eae4d7e939a3ab61aac641">vde::sdf::chain_scale</a></div><div class="ttdeci">GradResult chain_scale(const GradResult &child_result, const Point3D &factors)</div><div class="ttdoc">非均匀缩放后的梯度传递</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00525">sdf_gradient.h:525</a></div></div>
|
|
<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>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_ac8004df170f9bc30341042677068bdf8"><div class="ttname"><a href="namespacevde_1_1sdf.html#ac8004df170f9bc30341042677068bdf8">vde::sdf::torus_major_gradient</a></div><div class="ttdeci">double torus_major_gradient(const Point3D &p, double major_r, double minor_r, double h=1e-6)</div><div class="ttdoc">圆环 SDF 对主半径的参数梯度 ∂f/∂major_r</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00162">sdf_gradient.h:162</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_ad010ebbc9197cfb190a07fa9b1c50203"><div class="ttname"><a href="namespacevde_1_1sdf.html#ad010ebbc9197cfb190a07fa9b1c50203">vde::sdf::chain_translate</a></div><div class="ttdeci">GradResult chain_translate(const GradResult &child_result, const Point3D &)</div><div class="ttdoc">平移变换后的梯度传递（梯度不变）</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00481">sdf_gradient.h:481</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_ad5203b48e22b2816bdc72a2e69f83516"><div class="ttname"><a href="namespacevde_1_1sdf.html#ad5203b48e22b2816bdc72a2e69f83516">vde::sdf::cylinder_param_grad</a></div><div class="ttdeci">ParamGrad cylinder_param_grad(const Point3D &p, double radius, double height, double h=1e-6)</div><div class="ttdoc">圆柱所有参数的梯度</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00682">sdf_gradient.h:682</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_af260f5ad8965f5db556caf2a6e465fd9"><div class="ttname"><a href="namespacevde_1_1sdf.html#af260f5ad8965f5db556caf2a6e465fd9">vde::sdf::gradient</a></div><div class="ttdeci">Vector3D gradient(const std::function< double(const Point3D &)> &f, const Point3D &p, double h=1e-6)</div><div class="ttdoc">SDF 的空间梯度（中心差分近似）</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00065">sdf_gradient.h:65</a></div></div>
|
|
<div class="ttc" id="anamespacevde_1_1sdf_html_affdb6d73057aa00a86b58c5e383ffdf0"><div class="ttname"><a href="namespacevde_1_1sdf.html#affdb6d73057aa00a86b58c5e383ffdf0">vde::sdf::evaluate_with_gradient</a></div><div class="ttdeci">GradResult evaluate_with_gradient(const std::function< double(const Point3D &)> &f, const Point3D &p, double h=1e-6)</div><div class="ttdoc">同时计算 SDF 值和梯度的便捷函数</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00102">sdf_gradient.h:102</a></div></div>
|
|
<div class="ttc" id="apoint_8h_html"><div class="ttname"><a href="point_8h.html">point.h</a></div></div>
|
|
<div class="ttc" id="asdf__operations_8h_html"><div class="ttname"><a href="sdf__operations_8h.html">sdf_operations.h</a></div><div class="ttdoc">SDF 布尔运算、修饰算子与域变形</div></div>
|
|
<div class="ttc" id="asdf__primitives_8h_html"><div class="ttname"><a href="sdf__primitives_8h.html">sdf_primitives.h</a></div><div class="ttdoc">有符号距离函数（SDF）基础图元</div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1GradResult_html"><div class="ttname"><a href="structvde_1_1sdf_1_1GradResult.html">vde::sdf::GradResult</a></div><div class="ttdoc">前向模梯度结果: SDF 值 + 梯度</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00087">sdf_gradient.h:87</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1GradResult_html_a02b5e17be035be5575fcf54c8cae069b"><div class="ttname"><a href="structvde_1_1sdf_1_1GradResult.html#a02b5e17be035be5575fcf54c8cae069b">vde::sdf::GradResult::value</a></div><div class="ttdeci">double value</div><div class="ttdoc">SDF 值 f(p)</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00088">sdf_gradient.h:88</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1GradResult_html_a272c6ccde6d49e780c1a739d846bf750"><div class="ttname"><a href="structvde_1_1sdf_1_1GradResult.html#a272c6ccde6d49e780c1a739d846bf750">vde::sdf::GradResult::grad</a></div><div class="ttdeci">Vector3D grad</div><div class="ttdoc">空间梯度 ∇f(p) = (df/dx, df/dy, df/dz)</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00089">sdf_gradient.h:89</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1ParamGrad_html"><div class="ttname"><a href="structvde_1_1sdf_1_1ParamGrad.html">vde::sdf::ParamGrad</a></div><div class="ttdoc">参数梯度结构体</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00618">sdf_gradient.h:618</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1ParamGrad_html_a04b6b121540385e2a0530424f750462c"><div class="ttname"><a href="structvde_1_1sdf_1_1ParamGrad.html#a04b6b121540385e2a0530424f750462c">vde::sdf::ParamGrad::d_translate</a></div><div class="ttdeci">Point3D d_translate</div><div class="ttdoc">∂f/∂translate_offset</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00627">sdf_gradient.h:627</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1ParamGrad_html_a0cee53e1b6645b74bfdf035c7cab6991"><div class="ttname"><a href="structvde_1_1sdf_1_1ParamGrad.html#a0cee53e1b6645b74bfdf035c7cab6991">vde::sdf::ParamGrad::d_height</a></div><div class="ttdeci">double d_height</div><div class="ttdoc">∂f/∂height</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00620">sdf_gradient.h:620</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1ParamGrad_html_a160b331ecbaec77c2f250049d940f933"><div class="ttname"><a href="structvde_1_1sdf_1_1ParamGrad.html#a160b331ecbaec77c2f250049d940f933">vde::sdf::ParamGrad::d_minor</a></div><div class="ttdeci">double d_minor</div><div class="ttdoc">∂f/∂minor_radius</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00623">sdf_gradient.h:623</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1ParamGrad_html_a2b3429092a79b0f5cc8308ed013de0fa"><div class="ttname"><a href="structvde_1_1sdf_1_1ParamGrad.html#a2b3429092a79b0f5cc8308ed013de0fa">vde::sdf::ParamGrad::d_rotate</a></div><div class="ttdeci">double d_rotate</div><div class="ttdoc">∂f/∂rotation_angle</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00628">sdf_gradient.h:628</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1ParamGrad_html_a39fbb6fe30cf41459d1c6af0457be19d"><div class="ttname"><a href="structvde_1_1sdf_1_1ParamGrad.html#a39fbb6fe30cf41459d1c6af0457be19d">vde::sdf::ParamGrad::d_offset</a></div><div class="ttdeci">double d_offset</div><div class="ttdoc">∂f/∂offset</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00626">sdf_gradient.h:626</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1ParamGrad_html_a4df8649faa7123d8bf50f33f706947cb"><div class="ttname"><a href="structvde_1_1sdf_1_1ParamGrad.html#a4df8649faa7123d8bf50f33f706947cb">vde::sdf::ParamGrad::d_normal</a></div><div class="ttdeci">Vector3D d_normal</div><div class="ttdoc">∂f/∂normal (无效分量清零)</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00625">sdf_gradient.h:625</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1ParamGrad_html_a542da2b37494620eda752f9ce5895e3e"><div class="ttname"><a href="structvde_1_1sdf_1_1ParamGrad.html#a542da2b37494620eda752f9ce5895e3e">vde::sdf::ParamGrad::d_major</a></div><div class="ttdeci">double d_major</div><div class="ttdoc">∂f/∂major_radius</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00622">sdf_gradient.h:622</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1ParamGrad_html_a875b63dad38bd5207ea5f5cd3f2bf19d"><div class="ttname"><a href="structvde_1_1sdf_1_1ParamGrad.html#a875b63dad38bd5207ea5f5cd3f2bf19d">vde::sdf::ParamGrad::d_scale</a></div><div class="ttdeci">Point3D d_scale</div><div class="ttdoc">∂f/∂scale_factors</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00629">sdf_gradient.h:629</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1ParamGrad_html_ac817d77c70e8eaebc1fcc01b0a95713c"><div class="ttname"><a href="structvde_1_1sdf_1_1ParamGrad.html#ac817d77c70e8eaebc1fcc01b0a95713c">vde::sdf::ParamGrad::d_radius</a></div><div class="ttdeci">double d_radius</div><div class="ttdoc">∂f/∂radius</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00619">sdf_gradient.h:619</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1ParamGrad_html_adf5f920898bedc69eaebbc0454e56fab"><div class="ttname"><a href="structvde_1_1sdf_1_1ParamGrad.html#adf5f920898bedc69eaebbc0454e56fab">vde::sdf::ParamGrad::d_extents</a></div><div class="ttdeci">Point3D d_extents</div><div class="ttdoc">∂f/∂(extent.x, extent.y, extent.z)</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00621">sdf_gradient.h:621</a></div></div>
|
|
<div class="ttc" id="astructvde_1_1sdf_1_1ParamGrad_html_af0526ad9a5cbc4bce5cc2728ade2a8cb"><div class="ttname"><a href="structvde_1_1sdf_1_1ParamGrad.html#af0526ad9a5cbc4bce5cc2728ade2a8cb">vde::sdf::ParamGrad::d_angle</a></div><div class="ttdeci">double d_angle</div><div class="ttdoc">∂f/∂angle_rad</div><div class="ttdef"><b>Definition:</b> <a href="sdf__gradient_8h_source.html#l00624">sdf_gradient.h:624</a></div></div>
|
|
</div><!-- fragment --></div><!-- contents -->
|
|
</div><!-- doc-content -->
|
|
<!-- start footer part -->
|
|
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
|
|
<ul>
|
|
<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_36dfe8171299c47a6036082559f11ede.html">vde</a></li><li class="navelem"><a class="el" href="dir_865941a50ed007925fcdd14642daadc9.html">sdf</a></li><li class="navelem"><a class="el" href="sdf__gradient_8h.html">sdf_gradient.h</a></li>
|
|
<li class="footer">生成于 2026年 七月 24日 星期五 11:21:23 , 为 ViewDesignEngine使用 <a href="https://www.doxygen.org/index.html"><img class="footer" src="doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.1 </li>
|
|
</ul>
|
|
</div>
|
|
</body>
|
|
</html>
|