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<div id="projectname">ViewDesignEngine
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 <span id="projectnumber">3.1.0</span>
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<div id="projectbrief">高性能 CAD 计算几何引擎</div>
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<a href="plane_8h.html">浏览该文件的文档.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#pragma once</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#include "<a class="code" href="point_8h.html">vde/core/point.h</a>"</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>  </div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="keyword">namespace </span><a class="code" href="namespacevde_1_1core.html">vde::core</a> {</div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>  </div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="line"><a name="l00017"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Plane.html"> 17</a></span> <span class="keyword">class </span><a class="code" href="classvde_1_1core_1_1Plane.html">Plane</a> {</div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Plane.html#a7be60ad5ce100e812920f8f5d13caf4b"> 20</a></span>  <a class="code" href="classvde_1_1core_1_1Plane.html#a7be60ad5ce100e812920f8f5d13caf4b">Plane</a>() = <span class="keywordflow">default</span>;</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  </div>
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<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Plane.html#a4feb2271c394073473d4d71bed584b00"> 28</a></span>  <a class="code" href="classvde_1_1core_1_1Plane.html#a4feb2271c394073473d4d71bed584b00">Plane</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& point, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& <a class="code" href="classvde_1_1core_1_1Plane.html#aafaeb6268128512ce0c6e42ae28eb5ef">normal</a>)</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  : normal_(<a class="code" href="classvde_1_1core_1_1Plane.html#aafaeb6268128512ce0c6e42ae28eb5ef">normal</a>.normalized()), d_(-normal_.dot(point)) {}</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
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<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Plane.html#a679b78fd6d312b4e18d14f38426aff51"> 38</a></span>  <a class="code" href="classvde_1_1core_1_1Plane.html#a679b78fd6d312b4e18d14f38426aff51">Plane</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& a, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& b, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& c)</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  : <a class="code" href="classvde_1_1core_1_1Plane.html">Plane</a>(a, (b - a).cross(c - a)) {}</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  </div>
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<div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Plane.html#aafaeb6268128512ce0c6e42ae28eb5ef"> 42</a></span>  [[nodiscard]] <span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a>& <a class="code" href="classvde_1_1core_1_1Plane.html#aafaeb6268128512ce0c6e42ae28eb5ef">normal</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> normal_; }</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
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<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Plane.html#ae9c44760e17a3d2c5217711404815f7d"> 52</a></span>  [[nodiscard]] T <a class="code" href="classvde_1_1core_1_1Plane.html#ae9c44760e17a3d2c5217711404815f7d">d</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> d_; }</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
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<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Plane.html#a504b11de876d56076272afd0b6d60d8d"> 68</a></span>  [[nodiscard]] T <a class="code" href="classvde_1_1core_1_1Plane.html#a504b11de876d56076272afd0b6d60d8d">signed_distance</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> normal_.dot(p) + d_; }</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
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<div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Plane.html#a5f06d69c95bdea344cd76efee40de804"> 76</a></span>  [[nodiscard]] T <a class="code" href="classvde_1_1core_1_1Plane.html#a5f06d69c95bdea344cd76efee40de804">distance</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> std::abs(<a class="code" href="classvde_1_1core_1_1Plane.html#a504b11de876d56076272afd0b6d60d8d">signed_distance</a>(p)); }</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  </div>
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<div class="line"><a name="l00084"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Plane.html#a55f1e4e3b11fbe2f70a95ba0700f3e07"> 84</a></span>  [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a> <a class="code" href="classvde_1_1core_1_1Plane.html#a55f1e4e3b11fbe2f70a95ba0700f3e07">project</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">Point3D</a>& p)<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">return</span> p - normal_ * <a class="code" href="classvde_1_1core_1_1Plane.html#a504b11de876d56076272afd0b6d60d8d">signed_distance</a>(p);</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  }</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <a class="code" href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">Vector3D</a> normal_{0,0,1};</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  T d_{0};</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> };</div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  </div>
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<div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="namespacevde_1_1core.html#a2738e90425786793dddaec90bfc01caf"> 94</a></span> <span class="keyword">using</span> <a class="code" href="classvde_1_1core_1_1Plane.html">Plane3D</a> = <a class="code" href="classvde_1_1core_1_1Plane.html">Plane<double></a>;</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> } <span class="comment">// namespace vde::core</span></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Plane_html"><div class="ttname"><a href="classvde_1_1core_1_1Plane.html">vde::core::Plane</a></div><div class="ttdoc">三维平面</div><div class="ttdef"><b>Definition:</b> <a href="plane_8h_source.html#l00017">plane.h:17</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Plane_html_a4feb2271c394073473d4d71bed584b00"><div class="ttname"><a href="classvde_1_1core_1_1Plane.html#a4feb2271c394073473d4d71bed584b00">vde::core::Plane::Plane</a></div><div class="ttdeci">Plane(const Point3D &point, const Vector3D &normal)</div><div class="ttdoc">从点和法线构造平面</div><div class="ttdef"><b>Definition:</b> <a href="plane_8h_source.html#l00028">plane.h:28</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Plane_html_a504b11de876d56076272afd0b6d60d8d"><div class="ttname"><a href="classvde_1_1core_1_1Plane.html#a504b11de876d56076272afd0b6d60d8d">vde::core::Plane::signed_distance</a></div><div class="ttdeci">T signed_distance(const Point3D &p) const</div><div class="ttdoc">有向点到平面距离</div><div class="ttdef"><b>Definition:</b> <a href="plane_8h_source.html#l00068">plane.h:68</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Plane_html_a55f1e4e3b11fbe2f70a95ba0700f3e07"><div class="ttname"><a href="classvde_1_1core_1_1Plane.html#a55f1e4e3b11fbe2f70a95ba0700f3e07">vde::core::Plane::project</a></div><div class="ttdeci">Point3D project(const Point3D &p) const</div><div class="ttdoc">点在平面上的正交投影</div><div class="ttdef"><b>Definition:</b> <a href="plane_8h_source.html#l00084">plane.h:84</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Plane_html_a5f06d69c95bdea344cd76efee40de804"><div class="ttname"><a href="classvde_1_1core_1_1Plane.html#a5f06d69c95bdea344cd76efee40de804">vde::core::Plane::distance</a></div><div class="ttdeci">T distance(const Point3D &p) const</div><div class="ttdoc">绝对点到平面距离</div><div class="ttdef"><b>Definition:</b> <a href="plane_8h_source.html#l00076">plane.h:76</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Plane_html_a679b78fd6d312b4e18d14f38426aff51"><div class="ttname"><a href="classvde_1_1core_1_1Plane.html#a679b78fd6d312b4e18d14f38426aff51">vde::core::Plane::Plane</a></div><div class="ttdeci">Plane(const Point3D &a, const Point3D &b, const Point3D &c)</div><div class="ttdoc">从三点构造平面</div><div class="ttdef"><b>Definition:</b> <a href="plane_8h_source.html#l00038">plane.h:38</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Plane_html_a7be60ad5ce100e812920f8f5d13caf4b"><div class="ttname"><a href="classvde_1_1core_1_1Plane.html#a7be60ad5ce100e812920f8f5d13caf4b">vde::core::Plane::Plane</a></div><div class="ttdeci">Plane()=default</div><div class="ttdoc">默认构造:法线 (0,0,1),d=0(XY 平面)</div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Plane_html_aafaeb6268128512ce0c6e42ae28eb5ef"><div class="ttname"><a href="classvde_1_1core_1_1Plane.html#aafaeb6268128512ce0c6e42ae28eb5ef">vde::core::Plane::normal</a></div><div class="ttdeci">const Vector3D & normal() const</div><div class="ttdoc">获取单位法向量</div><div class="ttdef"><b>Definition:</b> <a href="plane_8h_source.html#l00042">plane.h:42</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Plane_html_ae9c44760e17a3d2c5217711404815f7d"><div class="ttname"><a href="classvde_1_1core_1_1Plane.html#ae9c44760e17a3d2c5217711404815f7d">vde::core::Plane::d</a></div><div class="ttdeci">T d() const</div><div class="ttdoc">获取平面方程常数 d</div><div class="ttdef"><b>Definition:</b> <a href="plane_8h_source.html#l00052">plane.h:52</a></div></div>
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<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>
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<div class="ttc" id="anamespacevde_1_1core_html_ab763c018d19e10e91a6c6d6ab2ccc8e0"><div class="ttname"><a href="namespacevde_1_1core.html#ab763c018d19e10e91a6c6d6ab2ccc8e0">vde::core::Vector3D</a></div><div class="ttdeci">foundation::Vector3D Vector3D</div><div class="ttdoc">双精度三维向量(重新导出)</div><div class="ttdef"><b>Definition:</b> <a href="point_8h_source.html#l00049">point.h:49</a></div></div>
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<div class="ttc" id="anamespacevde_1_1core_html_ac6aed70c4b90d13f10217267cd7a1952"><div class="ttname"><a href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952">vde::core::Point3D</a></div><div class="ttdeci">foundation::Point3D Point3D</div><div class="ttdoc">双精度三维点(重新导出)</div><div class="ttdef"><b>Definition:</b> <a href="point_8h_source.html#l00031">point.h:31</a></div></div>
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<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>
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