茂之钳
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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="exact__predicates_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="math__types_8h.html">vde/foundation/math_types.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"><a class="line" href="namespacevde_1_1foundation_1_1exact.html"> 4</a></span> <span class="keyword">namespace </span><a class="code" href="namespacevde_1_1foundation_1_1exact.html">vde::foundation::exact</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="l00013"></a><span class="lineno"><a class="line" href="group__foundation.html#gae42a60a99e11250a45ab0de45970c95f"> 13</a></span> <span class="keyword">enum class</span> <a class="code" href="group__foundation.html#gae42a60a99e11250a45ab0de45970c95f">Orientation</a> { <a class="code" href="group__foundation.html#ggae42a60a99e11250a45ab0de45970c95faba360a794737bcc8657a5b6e870d7ba8">Clockwise</a>, <a class="code" href="group__foundation.html#ggae42a60a99e11250a45ab0de45970c95fa8f23635f9ec49db2161fc5cddf033a79">CounterClockwise</a>, <a class="code" href="group__foundation.html#ggae42a60a99e11250a45ab0de45970c95fa817d9fd9977363770196b7b64da74bbb">Collinear</a> };</div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>  </div>
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<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="group__foundation.html#gaf44d45ba6402f725ee5d2cf828e25588"> 22</a></span> <span class="keyword">enum class</span> <a class="code" href="group__foundation.html#gaf44d45ba6402f725ee5d2cf828e25588">CircleTest</a> { <a class="code" href="group__foundation.html#ggaf44d45ba6402f725ee5d2cf828e25588a9b6d3000134648fc9f1e71094ae0847d">Inside</a>, <a class="code" href="group__foundation.html#ggaf44d45ba6402f725ee5d2cf828e25588a521c36a31c2762741cf0f8890cbe05e3">On</a>, <a class="code" href="group__foundation.html#ggaf44d45ba6402f725ee5d2cf828e25588a76fbf0ccd7fcd64879c2ff2119dc15a4">Outside</a> };</div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  </div>
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<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="group__foundation.html#ga828aee5891f4f4059932951e63f116e9"> 49</a></span> <a class="code" href="group__foundation.html#gae42a60a99e11250a45ab0de45970c95f">Orientation</a> <a class="code" href="group__foundation.html#ga828aee5891f4f4059932951e63f116e9">orient_2d</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& a, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& b, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& c);</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
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<div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="group__foundation.html#ga2047f44bf458da6b9ea19fdda1a7a2a7"> 76</a></span> <a class="code" href="group__foundation.html#gae42a60a99e11250a45ab0de45970c95f">Orientation</a> <a class="code" href="group__foundation.html#ga2047f44bf458da6b9ea19fdda1a7a2a7">orient_3d</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a5897423053feaa32d249be526e9a1850">Point3D</a>& a, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a5897423053feaa32d249be526e9a1850">Point3D</a>& b,</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a5897423053feaa32d249be526e9a1850">Point3D</a>& c, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a5897423053feaa32d249be526e9a1850">Point3D</a>& d);</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
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<div class="line"><a name="l00106"></a><span class="lineno"><a class="line" href="group__foundation.html#gadc741ceaf8679847e2c220c5c1b1dc77"> 106</a></span> <a class="code" href="group__foundation.html#gaf44d45ba6402f725ee5d2cf828e25588">CircleTest</a> <a class="code" href="group__foundation.html#gadc741ceaf8679847e2c220c5c1b1dc77">in_circle</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& a, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& b,</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& c, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& d);</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> } <span class="comment">// namespace vde::foundation::exact</span></div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  </div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="keyword">namespace </span><a class="code" href="namespacevde_1_1foundation.html">vde::foundation</a> {</div>
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<div class="line"><a name="l00120"></a><span class="lineno"><a class="line" href="structvde_1_1foundation_1_1AdaptiveDouble.html"> 120</a></span> <span class="keyword">struct </span><a class="code" href="structvde_1_1foundation_1_1AdaptiveDouble.html">AdaptiveDouble</a> {</div>
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<div class="line"><a name="l00127"></a><span class="lineno"><a class="line" href="structvde_1_1foundation_1_1AdaptiveDouble.html#a450cfea93323d9bbaef5358f7566922f"> 127</a></span>  <span class="keyword">static</span> <a class="code" href="group__foundation.html#gae42a60a99e11250a45ab0de45970c95f">exact::Orientation</a> <a class="code" href="structvde_1_1foundation_1_1AdaptiveDouble.html#a450cfea93323d9bbaef5358f7566922f">orient_2d</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& a, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& b, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& c) {</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">return</span> <a class="code" href="group__foundation.html#ga828aee5891f4f4059932951e63f116e9">exact::orient_2d</a>(a, b, c);</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  }</div>
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<div class="line"><a name="l00136"></a><span class="lineno"><a class="line" href="structvde_1_1foundation_1_1AdaptiveDouble.html#ac389d8bc528a1431496c79049bf31fd8"> 136</a></span>  <span class="keyword">static</span> <a class="code" href="group__foundation.html#gae42a60a99e11250a45ab0de45970c95f">exact::Orientation</a> <a class="code" href="structvde_1_1foundation_1_1AdaptiveDouble.html#ac389d8bc528a1431496c79049bf31fd8">orient_3d</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a5897423053feaa32d249be526e9a1850">Point3D</a>& a, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a5897423053feaa32d249be526e9a1850">Point3D</a>& b,</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a5897423053feaa32d249be526e9a1850">Point3D</a>& c, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a5897423053feaa32d249be526e9a1850">Point3D</a>& d) {</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordflow">return</span> <a class="code" href="group__foundation.html#ga2047f44bf458da6b9ea19fdda1a7a2a7">exact::orient_3d</a>(a, b, c, d);</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  }</div>
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<div class="line"><a name="l00147"></a><span class="lineno"><a class="line" href="structvde_1_1foundation_1_1AdaptiveDouble.html#a1ce02b2e81192fda0ceb0e6f4157f7a5"> 147</a></span>  <span class="keyword">static</span> <a class="code" href="group__foundation.html#gaf44d45ba6402f725ee5d2cf828e25588">exact::CircleTest</a> <a class="code" href="structvde_1_1foundation_1_1AdaptiveDouble.html#a1ce02b2e81192fda0ceb0e6f4157f7a5">in_circle</a>(<span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& a, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& b,</div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& c, <span class="keyword">const</span> <a class="code" href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">Point2D</a>& d) {</div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keywordflow">return</span> <a class="code" href="group__foundation.html#gadc741ceaf8679847e2c220c5c1b1dc77">exact::in_circle</a>(a, b, c, d);</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  }</div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> };</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> } <span class="comment">// namespace vde::foundation</span></div>
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<div class="ttc" id="agroup__foundation_html_ga2047f44bf458da6b9ea19fdda1a7a2a7"><div class="ttname"><a href="group__foundation.html#ga2047f44bf458da6b9ea19fdda1a7a2a7">vde::foundation::exact::orient_3d</a></div><div class="ttdeci">Orientation orient_3d(const Point3D &a, const Point3D &b, const Point3D &c, const Point3D &d)</div><div class="ttdoc">自适应精度三维定向测试</div></div>
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<div class="ttc" id="agroup__foundation_html_ga828aee5891f4f4059932951e63f116e9"><div class="ttname"><a href="group__foundation.html#ga828aee5891f4f4059932951e63f116e9">vde::foundation::exact::orient_2d</a></div><div class="ttdeci">Orientation orient_2d(const Point2D &a, const Point2D &b, const Point2D &c)</div><div class="ttdoc">自适应精度二维定向测试（Shewchuk 算法）</div></div>
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<div class="ttc" id="agroup__foundation_html_gadc741ceaf8679847e2c220c5c1b1dc77"><div class="ttname"><a href="group__foundation.html#gadc741ceaf8679847e2c220c5c1b1dc77">vde::foundation::exact::in_circle</a></div><div class="ttdeci">CircleTest in_circle(const Point2D &a, const Point2D &b, const Point2D &c, const Point2D &d)</div><div class="ttdoc">自适应精度圆内测试（In-Circle Test）</div></div>
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<div class="ttc" id="agroup__foundation_html_gae42a60a99e11250a45ab0de45970c95f"><div class="ttname"><a href="group__foundation.html#gae42a60a99e11250a45ab0de45970c95f">vde::foundation::exact::Orientation</a></div><div class="ttdeci">Orientation</div><div class="ttdoc">二维定向测试结果</div><div class="ttdef"><b>Definition:</b> <a href="exact__predicates_8h_source.html#l00013">exact_predicates.h:13</a></div></div>
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<div class="ttc" id="agroup__foundation_html_gaf44d45ba6402f725ee5d2cf828e25588"><div class="ttname"><a href="group__foundation.html#gaf44d45ba6402f725ee5d2cf828e25588">vde::foundation::exact::CircleTest</a></div><div class="ttdeci">CircleTest</div><div class="ttdoc">圆测试结果</div><div class="ttdef"><b>Definition:</b> <a href="exact__predicates_8h_source.html#l00022">exact_predicates.h:22</a></div></div>
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<div class="ttc" id="agroup__foundation_html_ggae42a60a99e11250a45ab0de45970c95fa817d9fd9977363770196b7b64da74bbb"><div class="ttname"><a href="group__foundation.html#ggae42a60a99e11250a45ab0de45970c95fa817d9fd9977363770196b7b64da74bbb">vde::foundation::exact::Orientation::Collinear</a></div><div class="ttdeci">@ Collinear</div></div>
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<div class="ttc" id="agroup__foundation_html_ggae42a60a99e11250a45ab0de45970c95fa8f23635f9ec49db2161fc5cddf033a79"><div class="ttname"><a href="group__foundation.html#ggae42a60a99e11250a45ab0de45970c95fa8f23635f9ec49db2161fc5cddf033a79">vde::foundation::exact::Orientation::CounterClockwise</a></div><div class="ttdeci">@ CounterClockwise</div></div>
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<div class="ttc" id="agroup__foundation_html_ggae42a60a99e11250a45ab0de45970c95faba360a794737bcc8657a5b6e870d7ba8"><div class="ttname"><a href="group__foundation.html#ggae42a60a99e11250a45ab0de45970c95faba360a794737bcc8657a5b6e870d7ba8">vde::foundation::exact::Orientation::Clockwise</a></div><div class="ttdeci">@ Clockwise</div></div>
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<div class="ttc" id="agroup__foundation_html_ggaf44d45ba6402f725ee5d2cf828e25588a521c36a31c2762741cf0f8890cbe05e3"><div class="ttname"><a href="group__foundation.html#ggaf44d45ba6402f725ee5d2cf828e25588a521c36a31c2762741cf0f8890cbe05e3">vde::foundation::exact::CircleTest::On</a></div><div class="ttdeci">@ On</div></div>
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<div class="ttc" id="agroup__foundation_html_ggaf44d45ba6402f725ee5d2cf828e25588a76fbf0ccd7fcd64879c2ff2119dc15a4"><div class="ttname"><a href="group__foundation.html#ggaf44d45ba6402f725ee5d2cf828e25588a76fbf0ccd7fcd64879c2ff2119dc15a4">vde::foundation::exact::CircleTest::Outside</a></div><div class="ttdeci">@ Outside</div></div>
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<div class="ttc" id="agroup__foundation_html_ggaf44d45ba6402f725ee5d2cf828e25588a9b6d3000134648fc9f1e71094ae0847d"><div class="ttname"><a href="group__foundation.html#ggaf44d45ba6402f725ee5d2cf828e25588a9b6d3000134648fc9f1e71094ae0847d">vde::foundation::exact::CircleTest::Inside</a></div><div class="ttdeci">@ Inside</div></div>
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<div class="ttc" id="amath__types_8h_html"><div class="ttname"><a href="math__types_8h.html">math_types.h</a></div></div>
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<div class="ttc" id="anamespacevde_1_1foundation_1_1exact_html"><div class="ttname"><a href="namespacevde_1_1foundation_1_1exact.html">vde::foundation::exact</a></div><div class="ttdef"><b>Definition:</b> <a href="exact__predicates_8h_source.html#l00004">exact_predicates.h:4</a></div></div>
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<div class="ttc" id="anamespacevde_1_1foundation_html"><div class="ttname"><a href="namespacevde_1_1foundation.html">vde::foundation</a></div><div class="ttdoc">自适应双精度谓词后端（默认）</div><div class="ttdef"><b>Definition:</b> <a href="error__codes_8h_source.html#l00004">error_codes.h:4</a></div></div>
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<div class="ttc" id="anamespacevde_1_1foundation_html_a1f8d721ed8c88d2b5716941d311f5945"><div class="ttname"><a href="namespacevde_1_1foundation.html#a1f8d721ed8c88d2b5716941d311f5945">vde::foundation::Point2D</a></div><div class="ttdeci">Point< double, 2 > Point2D</div><div class="ttdoc">双精度二维点</div><div class="ttdef"><b>Definition:</b> <a href="math__types_8h_source.html#l00041">math_types.h:41</a></div></div>
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<div class="ttc" id="anamespacevde_1_1foundation_html_a5897423053feaa32d249be526e9a1850"><div class="ttname"><a href="namespacevde_1_1foundation.html#a5897423053feaa32d249be526e9a1850">vde::foundation::Point3D</a></div><div class="ttdeci">Point< double, 3 > Point3D</div><div class="ttdoc">双精度三维点</div><div class="ttdef"><b>Definition:</b> <a href="math__types_8h_source.html#l00043">math_types.h:43</a></div></div>
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<div class="ttc" id="astructvde_1_1foundation_1_1AdaptiveDouble_html"><div class="ttname"><a href="structvde_1_1foundation_1_1AdaptiveDouble.html">vde::foundation::AdaptiveDouble</a></div><div class="ttdef"><b>Definition:</b> <a href="exact__predicates_8h_source.html#l00120">exact_predicates.h:120</a></div></div>
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<div class="ttc" id="astructvde_1_1foundation_1_1AdaptiveDouble_html_a1ce02b2e81192fda0ceb0e6f4157f7a5"><div class="ttname"><a href="structvde_1_1foundation_1_1AdaptiveDouble.html#a1ce02b2e81192fda0ceb0e6f4157f7a5">vde::foundation::AdaptiveDouble::in_circle</a></div><div class="ttdeci">static exact::CircleTest in_circle(const Point2D &a, const Point2D &b, const Point2D &c, const Point2D &d)</div><div class="ttdoc">圆内测试</div><div class="ttdef"><b>Definition:</b> <a href="exact__predicates_8h_source.html#l00147">exact_predicates.h:147</a></div></div>
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<div class="ttc" id="astructvde_1_1foundation_1_1AdaptiveDouble_html_a450cfea93323d9bbaef5358f7566922f"><div class="ttname"><a href="structvde_1_1foundation_1_1AdaptiveDouble.html#a450cfea93323d9bbaef5358f7566922f">vde::foundation::AdaptiveDouble::orient_2d</a></div><div class="ttdeci">static exact::Orientation orient_2d(const Point2D &a, const Point2D &b, const Point2D &c)</div><div class="ttdoc">二维定向测试</div><div class="ttdef"><b>Definition:</b> <a href="exact__predicates_8h_source.html#l00127">exact_predicates.h:127</a></div></div>
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<div class="ttc" id="astructvde_1_1foundation_1_1AdaptiveDouble_html_ac389d8bc528a1431496c79049bf31fd8"><div class="ttname"><a href="structvde_1_1foundation_1_1AdaptiveDouble.html#ac389d8bc528a1431496c79049bf31fd8">vde::foundation::AdaptiveDouble::orient_3d</a></div><div class="ttdeci">static exact::Orientation orient_3d(const Point3D &a, const Point3D &b, const Point3D &c, const Point3D &d)</div><div class="ttdoc">三维定向测试</div><div class="ttdef"><b>Definition:</b> <a href="exact__predicates_8h_source.html#l00136">exact_predicates.h:136</a></div></div>
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