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<a href="exact__predicates__gmp_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>  </div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="preprocessor">#ifdef VDE_USE_GMP</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="preprocessor">#include <gmpxx.h></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_1_1exact.html">vde::foundation::exact</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"> 20</span> <span class="keyword">struct </span>GmpExact {</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="keyword">using</span> Rational = mpq_class;</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="l00042"></a><span class="lineno"> 42</span>  <span class="keyword">static</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="l00043"></a><span class="lineno"> 43</span>  Rational ax(a.x()), ay(a.y());</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  Rational bx(b.x()), by(b.y());</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  Rational cx(c.x()), cy(c.y());</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  Rational det = (bx - ax) * (cy - ay) - (by - ay) * (cx - ax);</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordtype">int</span> s = mpq_sgn(det.get_mpq_t());</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keywordflow">return</span> s > 0 ? <a class="code" href="group__foundation.html#ggae42a60a99e11250a45ab0de45970c95fa8f23635f9ec49db2161fc5cddf033a79">Orientation::CounterClockwise</a> :</div>
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||||
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  s < 0 ? <a class="code" href="group__foundation.html#ggae42a60a99e11250a45ab0de45970c95faba360a794737bcc8657a5b6e870d7ba8">Orientation::Clockwise</a> : <a class="code" href="group__foundation.html#ggae42a60a99e11250a45ab0de45970c95fa817d9fd9977363770196b7b64da74bbb">Orientation::Collinear</a>;</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="l00051"></a><span class="lineno"> 51</span>  </div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keyword">static</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="l00064"></a><span class="lineno"> 64</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="l00065"></a><span class="lineno"> 65</span>  Rational ax(a.x()), ay(a.y()), az(a.z());</div>
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||||
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  Rational bx(b.x()), by(b.y()), bz(b.z());</div>
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||||
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  Rational cx(c.x()), cy(c.y()), cz(c.z());</div>
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||||
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  Rational dx(d.x()), dy(d.y()), dz(d.z());</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="l00070"></a><span class="lineno"> 70</span>  Rational adx = ax - dx, ady = ay - dy, adz = az - dz;</div>
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||||
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  Rational bdx = bx - dx, bdy = by - dy, bdz = bz - dz;</div>
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||||
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  Rational cdx = cx - dx, cdy = cy - dy, cdz = cz - dz;</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  Rational det = adx * (bdy * cdz - bdz * cdy)</div>
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||||
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  + bdx * (cdy * adz - cdz * ady)</div>
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||||
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  + cdx * (ady * bdz - adz * bdy);</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="l00078"></a><span class="lineno"> 78</span>  <span class="keywordtype">int</span> s = mpq_sgn(det.get_mpq_t());</div>
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||||
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keywordflow">return</span> s > 0 ? <a class="code" href="group__foundation.html#ggae42a60a99e11250a45ab0de45970c95fa8f23635f9ec49db2161fc5cddf033a79">Orientation::CounterClockwise</a> :</div>
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||||
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  s < 0 ? <a class="code" href="group__foundation.html#ggae42a60a99e11250a45ab0de45970c95faba360a794737bcc8657a5b6e870d7ba8">Orientation::Clockwise</a> : <a class="code" href="group__foundation.html#ggae42a60a99e11250a45ab0de45970c95fa817d9fd9977363770196b7b64da74bbb">Orientation::Collinear</a>;</div>
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||||
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  }</div>
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||||
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  </div>
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||||
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keyword">static</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="l00095"></a><span class="lineno"> 95</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>
|
||||
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  Rational ax(a.x()), ay(a.y());</div>
|
||||
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  Rational bx(b.x()), by(b.y());</div>
|
||||
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  Rational cx(c.x()), cy(c.y());</div>
|
||||
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  Rational dx(d.x()), dy(d.y());</div>
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||||
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
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||||
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  Rational adx = ax - dx, ady = ay - dy;</div>
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||||
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  Rational bdx = bx - dx, bdy = by - dy;</div>
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||||
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  Rational cdx = cx - dx, cdy = cy - dy;</div>
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||||
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  </div>
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||||
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  Rational ab = adx * bdy - ady * bdx;</div>
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||||
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  Rational bc = bdx * cdy - bdy * cdx;</div>
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||||
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  Rational ca = cdx * ady - cdy * adx;</div>
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||||
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  Rational al = adx * adx + ady * ady;</div>
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||||
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  Rational bl = bdx * bdx + bdy * bdy;</div>
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||||
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  Rational cl = cdx * cdx + cdy * cdy;</div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  </div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  Rational det = al * bc + bl * ca + cl * ab;</div>
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||||
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordtype">int</span> s = mpq_sgn(det.get_mpq_t());</div>
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||||
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">return</span> s > 0 ? <a class="code" href="group__foundation.html#ggaf44d45ba6402f725ee5d2cf828e25588a9b6d3000134648fc9f1e71094ae0847d">CircleTest::Inside</a> :</div>
|
||||
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  s < 0 ? <a class="code" href="group__foundation.html#ggaf44d45ba6402f725ee5d2cf828e25588a76fbf0ccd7fcd64879c2ff2119dc15a4">CircleTest::Outside</a> : <a class="code" href="group__foundation.html#ggaf44d45ba6402f725ee5d2cf828e25588a521c36a31c2762741cf0f8890cbe05e3">CircleTest::On</a>;</div>
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||||
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  }</div>
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||||
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> };</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  </div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> } <span class="comment">// namespace vde::foundation::exact</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="l00121"></a><span class="lineno"> 121</span> <span class="preprocessor">#endif </span><span class="comment">// VDE_USE_GMP</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="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>
|
||||
<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_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="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_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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