茂之钳
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165 lines
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<div id="projectname">ViewDesignEngine
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 <span id="projectnumber">3.1.0</span>
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<div id="projectbrief">高性能 CAD 计算几何引擎</div>
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<div class="title">polygon.h</div> </div>
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<a href="polygon_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> <span class="preprocessor">#include "<a class="code" href="aabb_8h.html">vde/core/aabb.h</a>"</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="preprocessor">#include <vector></span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="preprocessor">#include <array></span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>  </div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</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="l00008"></a><span class="lineno"> 8</span>  </div>
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<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html"> 20</a></span> <span class="keyword">class </span><a class="code" href="classvde_1_1core_1_1Polygon2D.html">Polygon2D</a> {</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#a553105fe7f7fc17637bd2e2de7e0c8fc"> 23</a></span>  <a class="code" href="classvde_1_1core_1_1Polygon2D.html#a553105fe7f7fc17637bd2e2de7e0c8fc">Polygon2D</a>() = <span class="keywordflow">default</span>;</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div>
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<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#aef50b5355dee877f53b15cfa3c73b0eb"> 30</a></span>  <span class="keyword">explicit</span> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#aef50b5355dee877f53b15cfa3c73b0eb">Polygon2D</a>(std::vector<Point2D> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#a4d8e979d05ce5aea92800e19a6738a99">vertices</a>) : vertices_(std::move(<a class="code" href="classvde_1_1core_1_1Polygon2D.html#a4d8e979d05ce5aea92800e19a6738a99">vertices</a>)) {}</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
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<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#a4d8e979d05ce5aea92800e19a6738a99"> 33</a></span>  [[nodiscard]] <span class="keyword">const</span> std::vector<Point2D>& <a class="code" href="classvde_1_1core_1_1Polygon2D.html#a4d8e979d05ce5aea92800e19a6738a99">vertices</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> vertices_; }</div>
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<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#a3d17ebe00ce5c4748844c656eac1fa0c"> 35</a></span>  [[nodiscard]] <span class="keywordtype">size_t</span> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#a3d17ebe00ce5c4748844c656eac1fa0c">size</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> vertices_.size(); }</div>
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<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#aa16a4c20d18a335a158d40219fc45603"> 37</a></span>  [[nodiscard]] <span class="keywordtype">bool</span> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#aa16a4c20d18a335a158d40219fc45603">empty</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> vertices_.empty(); }</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
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<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#a8e083b73a74e25d40ee384c984f2f889"> 51</a></span>  [[nodiscard]] <span class="keywordtype">double</span> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#a8e083b73a74e25d40ee384c984f2f889">signed_area</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  </div>
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<div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#aeac4dc09631504acde5f365223b7a6aa"> 57</a></span>  [[nodiscard]] <span class="keywordtype">double</span> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#aeac4dc09631504acde5f365223b7a6aa">area</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> std::abs(<a class="code" href="classvde_1_1core_1_1Polygon2D.html#a8e083b73a74e25d40ee384c984f2f889">signed_area</a>()); }</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
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<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#a62a6ffca183f4fa6b52efcb6baffa507"> 63</a></span>  [[nodiscard]] <span class="keywordtype">double</span> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#a62a6ffca183f4fa6b52efcb6baffa507">perimeter</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
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<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#ac91977b9a3fea9c77af96313c5388ff3"> 73</a></span>  [[nodiscard]] <a class="code" href="namespacevde_1_1core.html#a78483c599a40e4f333418667a77e3862">Point2D</a> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#ac91977b9a3fea9c77af96313c5388ff3">centroid</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
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<div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#a8df671d7515ebbc9b0be2d07b5cf2c29"> 82</a></span>  [[nodiscard]] <a class="code" href="classvde_1_1core_1_1AABB.html">AABB<double></a> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#a8df671d7515ebbc9b0be2d07b5cf2c29">bounding_box</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
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<div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#a7dc7dd2cf5cad453e439597f65c6e31c"> 95</a></span>  [[nodiscard]] <span class="keywordtype">bool</span> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#a7dc7dd2cf5cad453e439597f65c6e31c">contains</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1core.html#a78483c599a40e4f333418667a77e3862">Point2D</a>& p) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
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<div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#ae43bc468b717eabf2f11797abe9a70f7"> 101</a></span>  [[nodiscard]] <span class="keywordtype">bool</span> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#ae43bc468b717eabf2f11797abe9a70f7">is_ccw</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#a8e083b73a74e25d40ee384c984f2f889">signed_area</a>() > 0; }</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  </div>
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<div class="line"><a name="l00119"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#a7cbc97ec90cff2a01f0f4e2136232314"> 119</a></span>  [[nodiscard]] <a class="code" href="classvde_1_1core_1_1Polygon2D.html">Polygon2D</a> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#a7cbc97ec90cff2a01f0f4e2136232314">simplify</a>(<span class="keywordtype">double</span> tolerance) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
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<div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#ae1ff6a102606478a18b0edb22d296607"> 143</a></span>  [[nodiscard]] std::vector<std::array<int, 3>> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#ae1ff6a102606478a18b0edb22d296607">triangulate</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  </div>
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<div class="line"><a name="l00156"></a><span class="lineno"><a class="line" href="classvde_1_1core_1_1Polygon2D.html#a8eeac89881bb9b231e2c8cad55a5729c"> 156</a></span>  <span class="keyword">static</span> <a class="code" href="classvde_1_1core_1_1Polygon2D.html">Polygon2D</a> <a class="code" href="classvde_1_1core_1_1Polygon2D.html#a8eeac89881bb9b231e2c8cad55a5729c">convex_hull_2d</a>(<span class="keyword">const</span> std::vector<Point2D>& points);</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  </div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  std::vector<Point2D> vertices_;</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> };</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  </div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> } <span class="comment">// namespace vde::core</span></div>
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<div class="ttc" id="aaabb_8h_html"><div class="ttname"><a href="aabb_8h.html">aabb.h</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1AABB_html"><div class="ttname"><a href="classvde_1_1core_1_1AABB.html">vde::core::AABB</a></div><div class="ttdoc">轴对齐包围盒（AABB）</div><div class="ttdef"><b>Definition:</b> <a href="aabb_8h_source.html#l00021">aabb.h:21</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html">vde::core::Polygon2D</a></div><div class="ttdoc">二维平面多边形</div><div class="ttdef"><b>Definition:</b> <a href="polygon_8h_source.html#l00020">polygon.h:20</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_a3d17ebe00ce5c4748844c656eac1fa0c"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#a3d17ebe00ce5c4748844c656eac1fa0c">vde::core::Polygon2D::size</a></div><div class="ttdeci">size_t size() const</div><div class="ttdoc">获取顶点数量</div><div class="ttdef"><b>Definition:</b> <a href="polygon_8h_source.html#l00035">polygon.h:35</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_a4d8e979d05ce5aea92800e19a6738a99"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#a4d8e979d05ce5aea92800e19a6738a99">vde::core::Polygon2D::vertices</a></div><div class="ttdeci">const std::vector< Point2D > & vertices() const</div><div class="ttdoc">获取顶点列表</div><div class="ttdef"><b>Definition:</b> <a href="polygon_8h_source.html#l00033">polygon.h:33</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_a553105fe7f7fc17637bd2e2de7e0c8fc"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#a553105fe7f7fc17637bd2e2de7e0c8fc">vde::core::Polygon2D::Polygon2D</a></div><div class="ttdeci">Polygon2D()=default</div><div class="ttdoc">构造空多边形</div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_a62a6ffca183f4fa6b52efcb6baffa507"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#a62a6ffca183f4fa6b52efcb6baffa507">vde::core::Polygon2D::perimeter</a></div><div class="ttdeci">double perimeter() const</div><div class="ttdoc">周长（各边长之和）</div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_a7cbc97ec90cff2a01f0f4e2136232314"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#a7cbc97ec90cff2a01f0f4e2136232314">vde::core::Polygon2D::simplify</a></div><div class="ttdeci">Polygon2D simplify(double tolerance) const</div><div class="ttdoc">Douglas-Peucker 简化</div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_a7dc7dd2cf5cad453e439597f65c6e31c"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#a7dc7dd2cf5cad453e439597f65c6e31c">vde::core::Polygon2D::contains</a></div><div class="ttdeci">bool contains(const Point2D &p) const</div><div class="ttdoc">点包含测试（射线法）</div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_a8df671d7515ebbc9b0be2d07b5cf2c29"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#a8df671d7515ebbc9b0be2d07b5cf2c29">vde::core::Polygon2D::bounding_box</a></div><div class="ttdeci">AABB< double > bounding_box() const</div><div class="ttdoc">二维轴对齐包围盒</div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_a8e083b73a74e25d40ee384c984f2f889"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#a8e083b73a74e25d40ee384c984f2f889">vde::core::Polygon2D::signed_area</a></div><div class="ttdeci">double signed_area() const</div><div class="ttdoc">有向面积（Shoelace 公式）</div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_a8eeac89881bb9b231e2c8cad55a5729c"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#a8eeac89881bb9b231e2c8cad55a5729c">vde::core::Polygon2D::convex_hull_2d</a></div><div class="ttdeci">static Polygon2D convex_hull_2d(const std::vector< Point2D > &points)</div><div class="ttdoc">Andrew's Monotone Chain 二维凸包</div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_aa16a4c20d18a335a158d40219fc45603"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#aa16a4c20d18a335a158d40219fc45603">vde::core::Polygon2D::empty</a></div><div class="ttdeci">bool empty() const</div><div class="ttdoc">多边形是否为空（< 3 个顶点视为退化）</div><div class="ttdef"><b>Definition:</b> <a href="polygon_8h_source.html#l00037">polygon.h:37</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_ac91977b9a3fea9c77af96313c5388ff3"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#ac91977b9a3fea9c77af96313c5388ff3">vde::core::Polygon2D::centroid</a></div><div class="ttdeci">Point2D centroid() const</div><div class="ttdoc">面积加权质心</div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_ae1ff6a102606478a18b0edb22d296607"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#ae1ff6a102606478a18b0edb22d296607">vde::core::Polygon2D::triangulate</a></div><div class="ttdeci">std::vector< std::array< int, 3 > > triangulate() const</div><div class="ttdoc">耳切法三角剖分（Ear Clipping）</div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_ae43bc468b717eabf2f11797abe9a70f7"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#ae43bc468b717eabf2f11797abe9a70f7">vde::core::Polygon2D::is_ccw</a></div><div class="ttdeci">bool is_ccw() const</div><div class="ttdoc">多边形是否为逆时针方向</div><div class="ttdef"><b>Definition:</b> <a href="polygon_8h_source.html#l00101">polygon.h:101</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_aeac4dc09631504acde5f365223b7a6aa"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#aeac4dc09631504acde5f365223b7a6aa">vde::core::Polygon2D::area</a></div><div class="ttdeci">double area() const</div><div class="ttdoc">绝对面积</div><div class="ttdef"><b>Definition:</b> <a href="polygon_8h_source.html#l00057">polygon.h:57</a></div></div>
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<div class="ttc" id="aclassvde_1_1core_1_1Polygon2D_html_aef50b5355dee877f53b15cfa3c73b0eb"><div class="ttname"><a href="classvde_1_1core_1_1Polygon2D.html#aef50b5355dee877f53b15cfa3c73b0eb">vde::core::Polygon2D::Polygon2D</a></div><div class="ttdeci">Polygon2D(std::vector< Point2D > vertices)</div><div class="ttdoc">从顶点列表构造多边形</div><div class="ttdef"><b>Definition:</b> <a href="polygon_8h_source.html#l00030">polygon.h:30</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_a78483c599a40e4f333418667a77e3862"><div class="ttname"><a href="namespacevde_1_1core.html#a78483c599a40e4f333418667a77e3862">vde::core::Point2D</a></div><div class="ttdeci">foundation::Point2D Point2D</div><div class="ttdoc">双精度二维点（重新导出）</div><div class="ttdef"><b>Definition:</b> <a href="point_8h_source.html#l00029">point.h:29</a></div></div>
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<div class="ttc" id="apoint_8h_html"><div class="ttname"><a href="point_8h.html">point.h</a></div></div>
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