茂之钳
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160 lines
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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="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="exact__predicates_8h.html">vde/foundation/exact_predicates.h</a>"</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="preprocessor">#ifdef VDE_USE_GMP</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="preprocessor">#include "<a class="code" href="exact__predicates__gmp_8h.html">vde/foundation/exact_predicates_gmp.h</a>"</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="preprocessor">#endif</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_1foundation.html">vde::foundation</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="l00017"></a><span class="lineno"><a class="line" href="structvde_1_1foundation_1_1Predicates.html"> 17</a></span> <span class="keyword">struct </span><a class="code" href="structvde_1_1foundation_1_1Predicates.html">Predicates</a> {</div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#ifdef VDE_USE_GMP</span></div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  <span class="keyword">using</span> <a class="code" href="structvde_1_1foundation_1_1Predicates.html#ac8062938b3b7dd59249e626422fb1498">Backend</a> = exact::GmpExact;</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#else</span></div>
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<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="structvde_1_1foundation_1_1Predicates.html#ac8062938b3b7dd59249e626422fb1498"> 23</a></span>  <span class="keyword">using</span> <a class="code" href="structvde_1_1foundation_1_1Predicates.html#ac8062938b3b7dd59249e626422fb1498">Backend</a> = exact::AdaptiveDouble;</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
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<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="structvde_1_1foundation_1_1Predicates.html#adc7368ec2eb4d42239116aa7deb57772"> 31</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_1Predicates.html#adc7368ec2eb4d42239116aa7deb57772">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="l00032"></a><span class="lineno"> 32</span>  <span class="keywordflow">return</span> <a class="code" href="group__foundation.html#ga828aee5891f4f4059932951e63f116e9">Backend::orient_2d</a>(a, b, c);</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  }</div>
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<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="structvde_1_1foundation_1_1Predicates.html#a56f6d48fc9722cf6fe907b79b9c311d9"> 39</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_1Predicates.html#a56f6d48fc9722cf6fe907b79b9c311d9">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="l00040"></a><span class="lineno"> 40</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="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">return</span> <a class="code" href="group__foundation.html#ga2047f44bf458da6b9ea19fdda1a7a2a7">Backend::orient_3d</a>(a, b, c, d);</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  }</div>
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<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="structvde_1_1foundation_1_1Predicates.html#a42b5ee8ce029e85d918885059470f299"> 49</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_1Predicates.html#a42b5ee8ce029e85d918885059470f299">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="l00050"></a><span class="lineno"> 50</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="l00051"></a><span class="lineno"> 51</span>  <span class="keywordflow">return</span> <a class="code" href="group__foundation.html#ga0742be5b7fbe28e2dca498afb9ec99af">Backend::in_circle</a>(a, b, c, d);</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="l00053"></a><span class="lineno"> 53</span> };</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment">// ── Convenience wrappers (preferred API) ──</span></div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
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<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="group__foundation.html#ga1841f29d20da233610d643a5725179bc"> 74</a></span> <span class="keyword">inline</span> <a class="code" href="group__foundation.html#gae42a60a99e11250a45ab0de45970c95f">exact::Orientation</a> <a class="code" href="group__foundation.html#ga1841f29d20da233610d643a5725179bc">orient</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="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">return</span> <a class="code" href="structvde_1_1foundation_1_1Predicates.html#adc7368ec2eb4d42239116aa7deb57772">Predicates::orient_2d</a>(a, b, c);</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> }</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="l00087"></a><span class="lineno"><a class="line" href="group__foundation.html#ga0de768376e4db52c1549ae6c046e9909"> 87</a></span> <span class="keyword">inline</span> <a class="code" href="group__foundation.html#gae42a60a99e11250a45ab0de45970c95f">exact::Orientation</a> <a class="code" href="group__foundation.html#ga1841f29d20da233610d643a5725179bc">orient</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, <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="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">return</span> <a class="code" href="structvde_1_1foundation_1_1Predicates.html#a56f6d48fc9722cf6fe907b79b9c311d9">Predicates::orient_3d</a>(a, b, c, d);</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> }</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
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<div class="line"><a name="l00100"></a><span class="lineno"><a class="line" href="group__foundation.html#ga0742be5b7fbe28e2dca498afb9ec99af"> 100</a></span> <span class="keyword">inline</span> <a class="code" href="group__foundation.html#gaf44d45ba6402f725ee5d2cf828e25588">exact::CircleTest</a> <a class="code" href="group__foundation.html#ga0742be5b7fbe28e2dca498afb9ec99af">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, <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="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">return</span> <a class="code" href="structvde_1_1foundation_1_1Predicates.html#a42b5ee8ce029e85d918885059470f299">Predicates::in_circle</a>(a, b, c, d);</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="l00103"></a><span class="lineno"> 103</span>  </div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> } <span class="comment">// namespace vde::foundation</span></div>
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<div class="ttc" id="aexact__predicates_8h_html"><div class="ttname"><a href="exact__predicates_8h.html">exact_predicates.h</a></div></div>
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<div class="ttc" id="aexact__predicates__gmp_8h_html"><div class="ttname"><a href="exact__predicates__gmp_8h.html">exact_predicates_gmp.h</a></div></div>
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<div class="ttc" id="agroup__foundation_html_ga0742be5b7fbe28e2dca498afb9ec99af"><div class="ttname"><a href="group__foundation.html#ga0742be5b7fbe28e2dca498afb9ec99af">vde::foundation::in_circle</a></div><div class="ttdeci">exact::CircleTest in_circle(const Point2D &a, const Point2D &b, const Point2D &c, const Point2D &d)</div><div class="ttdoc">圆内测试便捷封装</div><div class="ttdef"><b>Definition:</b> <a href="predicates_8h_source.html#l00100">predicates.h:100</a></div></div>
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<div class="ttc" id="agroup__foundation_html_ga1841f29d20da233610d643a5725179bc"><div class="ttname"><a href="group__foundation.html#ga1841f29d20da233610d643a5725179bc">vde::foundation::orient</a></div><div class="ttdeci">exact::Orientation orient(const Point2D &a, const Point2D &b, const Point2D &c)</div><div class="ttdoc">二维定向测试便捷封装</div><div class="ttdef"><b>Definition:</b> <a href="predicates_8h_source.html#l00074">predicates.h:74</a></div></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_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="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_1Predicates_html"><div class="ttname"><a href="structvde_1_1foundation_1_1Predicates.html">vde::foundation::Predicates</a></div><div class="ttdoc">统一谓词接口 — 编译时选择 GMP 或自适应双精度后端</div><div class="ttdef"><b>Definition:</b> <a href="predicates_8h_source.html#l00017">predicates.h:17</a></div></div>
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<div class="ttc" id="astructvde_1_1foundation_1_1Predicates_html_a42b5ee8ce029e85d918885059470f299"><div class="ttname"><a href="structvde_1_1foundation_1_1Predicates.html#a42b5ee8ce029e85d918885059470f299">vde::foundation::Predicates::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="predicates_8h_source.html#l00049">predicates.h:49</a></div></div>
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<div class="ttc" id="astructvde_1_1foundation_1_1Predicates_html_a56f6d48fc9722cf6fe907b79b9c311d9"><div class="ttname"><a href="structvde_1_1foundation_1_1Predicates.html#a56f6d48fc9722cf6fe907b79b9c311d9">vde::foundation::Predicates::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="predicates_8h_source.html#l00039">predicates.h:39</a></div></div>
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<div class="ttc" id="astructvde_1_1foundation_1_1Predicates_html_ac8062938b3b7dd59249e626422fb1498"><div class="ttname"><a href="structvde_1_1foundation_1_1Predicates.html#ac8062938b3b7dd59249e626422fb1498">vde::foundation::Predicates::Backend</a></div><div class="ttdeci">exact::AdaptiveDouble Backend</div><div class="ttdoc">使用自适应双精度算术（Shewchuk 算法，默认）</div><div class="ttdef"><b>Definition:</b> <a href="predicates_8h_source.html#l00023">predicates.h:23</a></div></div>
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<div class="ttc" id="astructvde_1_1foundation_1_1Predicates_html_adc7368ec2eb4d42239116aa7deb57772"><div class="ttname"><a href="structvde_1_1foundation_1_1Predicates.html#adc7368ec2eb4d42239116aa7deb57772">vde::foundation::Predicates::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="predicates_8h_source.html#l00031">predicates.h:31</a></div></div>
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