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docs: generated API documentation (483 pages)
2026-07-24 11:55:47 +00:00
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<div id="projectname">ViewDesignEngine
&#160;<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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<a href="triangle_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>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="point_8h.html">vde/core/point.h</a>&quot;</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="preprocessor">#include &lt;array&gt;</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160; </div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacevde_1_1core.html">vde::core</a> {</div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160; </div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Triangle.html"> 18</a></span>&#160;<span class="keyword">class </span><a class="code" href="classvde_1_1core_1_1Triangle.html">Triangle</a> {</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00021"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Triangle.html#a738cd991a6c5c8a414650c9e5707afe4"> 21</a></span>&#160; <a class="code" href="classvde_1_1core_1_1Triangle.html#a738cd991a6c5c8a414650c9e5707afe4">Triangle</a>() = <span class="keywordflow">default</span>;</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Triangle.html#a6eec6f3c5f414d0e9159a045478dfa84"> 30</a></span>&#160; <a class="code" href="classvde_1_1core_1_1Triangle.html#a6eec6f3c5f414d0e9159a045478dfa84">Triangle</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>&amp; v0, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>&amp; v1, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>&amp; v2)</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; : v_{v0, v1, v2} {}</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; </div>
<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Triangle.html#a3d29aa4e04fad94c5981ecc176312132"> 39</a></span>&#160; [[nodiscard]] <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>&amp; <a class="code" href="classvde_1_1core_1_1Triangle.html#a3d29aa4e04fad94c5981ecc176312132">v</a>(<span class="keywordtype">int</span> i)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> v_[i]; }</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; </div>
<div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Triangle.html#a81dcaef307382d140357cc2e464ac8ac"> 42</a></span>&#160; [[nodiscard]] <span class="keyword">const</span> std::array&lt;Point3D, 3&gt;&amp; <a class="code" href="classvde_1_1core_1_1Triangle.html#a81dcaef307382d140357cc2e464ac8ac">vertices</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> v_; }</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; </div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Triangle.html#a1468338efb601a573be53ad600286cab"> 54</a></span>&#160; [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> <a class="code" href="classvde_1_1core_1_1Triangle.html#a1468338efb601a573be53ad600286cab">normal</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keywordflow">return</span> (v_[1] - v_[0]).cross(v_[2] - v_[0]).normalized();</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; }</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; </div>
<div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Triangle.html#a33b36723963bf1e50c688c556c70ec6f"> 62</a></span>&#160; [[nodiscard]] T <a class="code" href="classvde_1_1core_1_1Triangle.html#a33b36723963bf1e50c688c556c70ec6f">area</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keywordflow">return</span> (v_[1] - v_[0]).cross(v_[2] - v_[0]).norm() * 0.5;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; }</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; </div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Triangle.html#a2a6504d48a9b0ed10288a9ac238b9ed1"> 70</a></span>&#160; [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> <a class="code" href="classvde_1_1core_1_1Triangle.html#a2a6504d48a9b0ed10288a9ac238b9ed1">centroid</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <span class="keywordflow">return</span> (v_[0] + v_[1] + v_[2]) / 3.0;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; }</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; </div>
<div class="line"><a name="l00090"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Triangle.html#a4a9e0b017c1061e6ad5d24567b4a92b9"> 90</a></span>&#160; [[nodiscard]] <span class="keywordtype">bool</span> <a class="code" href="classvde_1_1core_1_1Triangle.html#a4a9e0b017c1061e6ad5d24567b4a92b9">contains</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>&amp; p)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> v0 = v_[2] - v_[0], v1 = v_[1] - v_[0], v2 = p - v_[0];</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; T d00 = v0.dot(v0), d01 = v0.dot(v1), d11 = v1.dot(v1);</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; T d20 = v2.dot(v0), d21 = v2.dot(v1);</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; T denom = d00 * d11 - d01 * d01;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; T <a class="code" href="classvde_1_1core_1_1Triangle.html#a3d29aa4e04fad94c5981ecc176312132">v</a> = (d11 * d20 - d01 * d21) / denom;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; T w = (d00 * d21 - d01 * d20) / denom;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; <span class="keywordflow">return</span> <a class="code" href="classvde_1_1core_1_1Triangle.html#a3d29aa4e04fad94c5981ecc176312132">v</a> &gt;= 0 &amp;&amp; w &gt;= 0 &amp;&amp; <a class="code" href="classvde_1_1core_1_1Triangle.html#a3d29aa4e04fad94c5981ecc176312132">v</a> + w &lt;= 1;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; }</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; </div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; std::array&lt;Point3D, 3&gt; v_{};</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;};</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; </div>
<div class="line"><a name="l00105"></a><span class="lineno"><a class="line" href="namespacevde_1_1core.html#a2d5a2fbdd5b868a1f767d069322d0acd"> 105</a></span>&#160;<span class="keyword">using</span> <a class="code" href="classvde_1_1core_1_1Triangle.html">Triangle3D</a> = <a class="code" href="classvde_1_1core_1_1Triangle.html">Triangle&lt;double&gt;</a>;</div>
<div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="namespacevde_1_1core.html#ac17d4f5072a51468ce1ebe516562a430"> 107</a></span>&#160;<span class="keyword">using</span> <a class="code" href="classvde_1_1core_1_1Triangle.html">Triangle3f</a> = <a class="code" href="classvde_1_1core_1_1Triangle.html">Triangle&lt;float&gt;</a>;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;} <span class="comment">// namespace vde::core</span></div>
<div class="ttc" id="aclassvde_1_1core_1_1Triangle_html"><div class="ttname"><a href="classvde_1_1core_1_1Triangle.html">vde::core::Triangle</a></div><div class="ttdoc">三维三角形</div><div class="ttdef"><b>Definition:</b> <a href="triangle_8h_source.html#l00018">triangle.h:18</a></div></div>
<div class="ttc" id="aclassvde_1_1core_1_1Triangle_html_a1468338efb601a573be53ad600286cab"><div class="ttname"><a href="classvde_1_1core_1_1Triangle.html#a1468338efb601a573be53ad600286cab">vde::core::Triangle::normal</a></div><div class="ttdeci">Vector3D normal() const</div><div class="ttdoc">三角形单位法向量</div><div class="ttdef"><b>Definition:</b> <a href="triangle_8h_source.html#l00054">triangle.h:54</a></div></div>
<div class="ttc" id="aclassvde_1_1core_1_1Triangle_html_a2a6504d48a9b0ed10288a9ac238b9ed1"><div class="ttname"><a href="classvde_1_1core_1_1Triangle.html#a2a6504d48a9b0ed10288a9ac238b9ed1">vde::core::Triangle::centroid</a></div><div class="ttdeci">Point3D centroid() const</div><div class="ttdoc">三角形质心（几何中心）</div><div class="ttdef"><b>Definition:</b> <a href="triangle_8h_source.html#l00070">triangle.h:70</a></div></div>
<div class="ttc" id="aclassvde_1_1core_1_1Triangle_html_a33b36723963bf1e50c688c556c70ec6f"><div class="ttname"><a href="classvde_1_1core_1_1Triangle.html#a33b36723963bf1e50c688c556c70ec6f">vde::core::Triangle::area</a></div><div class="ttdeci">T area() const</div><div class="ttdoc">三角形面积</div><div class="ttdef"><b>Definition:</b> <a href="triangle_8h_source.html#l00062">triangle.h:62</a></div></div>
<div class="ttc" id="aclassvde_1_1core_1_1Triangle_html_a3d29aa4e04fad94c5981ecc176312132"><div class="ttname"><a href="classvde_1_1core_1_1Triangle.html#a3d29aa4e04fad94c5981ecc176312132">vde::core::Triangle::v</a></div><div class="ttdeci">const Point3D &amp; v(int i) const</div><div class="ttdoc">获取第 i 个顶点</div><div class="ttdef"><b>Definition:</b> <a href="triangle_8h_source.html#l00039">triangle.h:39</a></div></div>
<div class="ttc" id="aclassvde_1_1core_1_1Triangle_html_a4a9e0b017c1061e6ad5d24567b4a92b9"><div class="ttname"><a href="classvde_1_1core_1_1Triangle.html#a4a9e0b017c1061e6ad5d24567b4a92b9">vde::core::Triangle::contains</a></div><div class="ttdeci">bool contains(const Point3D &amp;p) const</div><div class="ttdoc">重心坐标包含测试</div><div class="ttdef"><b>Definition:</b> <a href="triangle_8h_source.html#l00090">triangle.h:90</a></div></div>
<div class="ttc" id="aclassvde_1_1core_1_1Triangle_html_a6eec6f3c5f414d0e9159a045478dfa84"><div class="ttname"><a href="classvde_1_1core_1_1Triangle.html#a6eec6f3c5f414d0e9159a045478dfa84">vde::core::Triangle::Triangle</a></div><div class="ttdeci">Triangle(const Point3D &amp;v0, const Point3D &amp;v1, const Point3D &amp;v2)</div><div class="ttdoc">从三个顶点构造三角形</div><div class="ttdef"><b>Definition:</b> <a href="triangle_8h_source.html#l00030">triangle.h:30</a></div></div>
<div class="ttc" id="aclassvde_1_1core_1_1Triangle_html_a738cd991a6c5c8a414650c9e5707afe4"><div class="ttname"><a href="classvde_1_1core_1_1Triangle.html#a738cd991a6c5c8a414650c9e5707afe4">vde::core::Triangle::Triangle</a></div><div class="ttdeci">Triangle()=default</div><div class="ttdoc">默认构造：三个顶点均在原点（退化三角形）</div></div>
<div class="ttc" id="aclassvde_1_1core_1_1Triangle_html_a81dcaef307382d140357cc2e464ac8ac"><div class="ttname"><a href="classvde_1_1core_1_1Triangle.html#a81dcaef307382d140357cc2e464ac8ac">vde::core::Triangle::vertices</a></div><div class="ttdeci">const std::array&lt; Point3D, 3 &gt; &amp; vertices() const</div><div class="ttdoc">获取所有顶点数组</div><div class="ttdef"><b>Definition:</b> <a href="triangle_8h_source.html#l00042">triangle.h:42</a></div></div>
<div class="ttc" id="anamespacevde_1_1core_html"><div class="ttname"><a href="namespacevde_1_1core.html">vde::core</a></div><div class="ttdef"><b>Definition:</b> <a href="aabb_8h_source.html#l00006">aabb.h:6</a></div></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>
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