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<div class="title">polygon.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// polygon.h (A 2D polygon embeded in a <dim> dimensional space)</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">//</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// The WorldForge Project</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Copyright (C) 2002 The WorldForge Project</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// This program is free software; you can redistribute it and/or modify</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// it under the terms of the GNU General Public License as published by</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// the Free Software Foundation; either version 2 of the License, or</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// (at your option) any later version.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">//</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// This program is distributed in the hope that it will be useful,</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment">// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">// GNU General Public License for more details.</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment">//</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">// You should have received a copy of the GNU General Public License</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment">// along with this program; if not, write to the Free Software</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment">// Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">//</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment">// For information about WorldForge and its authors, please contact</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment">// the Worldforge Web Site at http://www.worldforge.org.</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment">//</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> </div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment">// Author: Ron Steinke</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#ifndef WFMATH_POLYGON_H</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#define WFMATH_POLYGON_H</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <wfmath/const.h></span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <wfmath/axisbox.h></span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <wfmath/ball.h></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include <wfmath/quaternion.h></span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="keyword">namespace </span><a class="code" href="namespaceWFMath.html">WFMath</a> {</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim> <span class="keyword">class </span>Polygon;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> std::ostream& operator<<(std::ostream& os, const Polygon<dim>& r);</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> std::istream& operator>>(std::istream& is, Polygon<dim>& r);</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="keyword">template</span><></div>
<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="classWFMath_1_1Polygon_3_012_01_4.html"> 47</a></span> <span class="keyword">class </span><a class="code" href="singletonWFMath_1_1Polygon.html">Polygon</a><2></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> {</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="singletonWFMath_1_1Polygon.html">Polygon</a>() : m_points() {}</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="singletonWFMath_1_1Polygon.html">Polygon</a>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Polygon.html">Polygon</a>& p) : m_points(p.m_points) {}</div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="classWFMath_1_1Polygon_3_012_01_4.html#ae24dd7684e01f0ec2ced208016cee4e6"> 53</a></span>  <span class="keyword">explicit</span> <a class="code" href="classWFMath_1_1Polygon_3_012_01_4.html#ae24dd7684e01f0ec2ced208016cee4e6">Polygon</a>(<span class="keyword">const</span> AtlasInType& a) : m_points() {fromAtlas(a);}</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  ~<a class="code" href="singletonWFMath_1_1Polygon.html">Polygon</a>() {}</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keyword">friend</span> std::ostream& operator<< <2>(std::ostream& os, <span class="keyword">const</span> Polygon& p);</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keyword">friend</span> std::istream& <span class="keyword">operator</span>>> <2>(std::istream& is, Polygon& p);</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  AtlasOutType toAtlas() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordtype">void</span> fromAtlas(<span class="keyword">const</span> AtlasInType& a);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  Polygon& operator=(<span class="keyword">const</span> Polygon& p)</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  {m_points = p.m_points; <span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordtype">bool</span> isEqualTo(<span class="keyword">const</span> Polygon& p, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> epsilon = numeric_constants<CoordType>::epsilon()) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> Polygon& p)<span class="keyword"> const </span>{<span class="keywordflow">return</span> isEqualTo(p);}</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> Polygon& p)<span class="keyword"> const </span>{<span class="keywordflow">return</span> !isEqualTo(p);}</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> </div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordtype">bool</span> isValid() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="comment">// Descriptive characteristics</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> </div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordtype">size_t</span> numCorners()<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_points.size();}</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  Point<2> getCorner(<span class="keywordtype">size_t</span> i)<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_points[i];}</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  Point<2> getCenter()<span class="keyword"> const </span>{<span class="keywordflow">return</span> <a class="code" href="namespaceWFMath.html#a7ac4402454b03a7b74ca90eeea7539b0">Barycenter</a>(m_points);}</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">// For a Polygon<2>, addCorner() and moveCorner() always succeed.</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="comment">// The return values are present for the sake of a unified template</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="comment">// interface, and the epsilon argument is ignored</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="comment">// Add before i'th corner, zero is beginning, numCorners() is end</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordtype">bool</span> addCorner(<span class="keywordtype">size_t</span> i, <span class="keyword">const</span> Point<2>& p, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> = numeric_constants<CoordType>::epsilon())</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  {m_points.insert(m_points.begin() + i, p); <span class="keywordflow">return</span> <span class="keyword">true</span>;}</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> </div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">// Remove the i'th corner</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordtype">void</span> removeCorner(<span class="keywordtype">size_t</span> i) {m_points.erase(m_points.begin() + i);}</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">// Move the i'th corner to p</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordtype">bool</span> moveCorner(<span class="keywordtype">size_t</span> i, <span class="keyword">const</span> Point<2>& p, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> = numeric_constants<CoordType>::epsilon())</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  {m_points[i] = p; <span class="keywordflow">return</span> <span class="keyword">true</span>;}</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="comment">// Remove all points</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordtype">void</span> clear() {m_points.clear();}</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> </div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keyword">const</span> Point<2>& operator[](<span class="keywordtype">size_t</span> i)<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_points[i];}</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  Point<2>& operator[](<span class="keywordtype">size_t</span> i) {<span class="keywordflow">return</span> m_points[i];}</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordtype">void</span> resize(std::vector<Point<2> >::size_type size) {m_points.resize(size);}</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> </div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="comment">// Movement functions</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  Polygon& shift(<span class="keyword">const</span> Vector<2>& v);</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  Polygon& moveCornerTo(<span class="keyword">const</span> Point<2>& p, <span class="keywordtype">size_t</span> corner)</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  {<span class="keywordflow">return</span> shift(p - getCorner(corner));}</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  Polygon& moveCenterTo(<span class="keyword">const</span> Point<2>& p)</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  {<span class="keywordflow">return</span> shift(p - getCenter());}</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> </div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  Polygon& rotateCorner(<span class="keyword">const</span> RotMatrix<2>& m, <span class="keywordtype">size_t</span> corner)</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  {rotatePoint(m, getCorner(corner)); <span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  Polygon& rotateCenter(<span class="keyword">const</span> RotMatrix<2>& m)</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  {rotatePoint(m, getCenter()); <span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  Polygon& rotatePoint(<span class="keyword">const</span> RotMatrix<2>& m, <span class="keyword">const</span> Point<2>& p);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="comment">// Intersection functions</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  AxisBox<2> boundingBox()<span class="keyword"> const </span>{<span class="keywordflow">return</span> <a class="code" href="namespaceWFMath.html#a6fe582785f78d2c873ef019ee943f620">BoundingBox</a>(m_points);}</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  Ball<2> boundingSphere()<span class="keyword"> const </span>{<span class="keywordflow">return</span> <a class="code" href="namespaceWFMath.html#a8a4d3066d820a40d5d3d0902518e99e6">BoundingSphere</a>(m_points);}</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  Ball<2> boundingSphereSloppy()<span class="keyword"> const </span>{<span class="keywordflow">return</span> <a class="code" href="namespaceWFMath.html#ae1c2b5cc60834264a17218f3ddcb16b6">BoundingSphereSloppy</a>(m_points);}</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> </div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  Polygon toParentCoords(<span class="keyword">const</span> Point<2>& origin,</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keyword">const</span> RotMatrix<2>& rotation = RotMatrix<2>().identity()) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  Polygon toParentCoords(<span class="keyword">const</span> AxisBox<2>& coords) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  Polygon toParentCoords(<span class="keyword">const</span> RotBox<2>& coords) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> </div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="comment">// toLocal is just like toParent, expect we reverse the order of</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="comment">// translation and rotation and use the opposite sense of the rotation</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="comment">// matrix</span></div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> </div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  Polygon toLocalCoords(<span class="keyword">const</span> Point<2>& origin,</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keyword">const</span> RotMatrix<2>& rotation = RotMatrix<2>().identity()) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  Polygon toLocalCoords(<span class="keyword">const</span> AxisBox<2>& coords) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  Polygon toLocalCoords(<span class="keyword">const</span> RotBox<2>& coords) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Intersect<2>(<span class="keyword">const</span> Polygon& r, <span class="keyword">const</span> Point<2>& p, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<2>(<span class="keyword">const</span> Point<2>& p, <span class="keyword">const</span> Polygon& r, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Intersect<2>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> AxisBox<2>& b, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<2>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> AxisBox<2>& b, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<2>(<span class="keyword">const</span> AxisBox<2>& b, <span class="keyword">const</span> Polygon& p, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> </div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Intersect<2>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> Ball<2>& b, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<2>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> Ball<2>& b, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<2>(<span class="keyword">const</span> Ball<2>& b, <span class="keyword">const</span> Polygon& p, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> </div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Intersect<2>(<span class="keyword">const</span> Polygon& r, <span class="keyword">const</span> Segment<2>& s, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<2>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> Segment<2>& s, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<2>(<span class="keyword">const</span> Segment<2>& s, <span class="keyword">const</span> Polygon& p, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Intersect<2>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> RotBox<2>& r, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<2>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> RotBox<2>& r, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<2>(<span class="keyword">const</span> RotBox<2>& r, <span class="keyword">const</span> Polygon& p, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> </div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Intersect<2>(<span class="keyword">const</span> Polygon& p1, <span class="keyword">const</span> Polygon& p2, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<2>(<span class="keyword">const</span> Polygon& outer, <span class="keyword">const</span> Polygon& inner, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  std::vector<Point<2> > m_points;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keyword">typedef</span> std::vector<Point<2> >::iterator theIter;</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keyword">typedef</span> std::vector<Point<2> >::const_iterator theConstIter;</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> </div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> };</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> </div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="comment">// Helper classes, to keep track of the orientation of</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// a 2D polygon in dim dimensions</span></div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">typedef</span> <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  _WFMATH_POLY2REORIENT_NONE,</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  _WFMATH_POLY2REORIENT_CLEAR_AXIS2,</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  _WFMATH_POLY2REORIENT_CLEAR_BOTH_AXES,</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  _WFMATH_POLY2REORIENT_MOVE_AXIS2_TO_AXIS1,</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  _WFMATH_POLY2REORIENT_SCALE1_CLEAR2</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> } _Poly2ReorientType;</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> </div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment">// Reorient a 2D polygon to match a change in the basis</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="comment">// used by _Poly2Orient</span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="keyword">class </span>_Poly2Reorient</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> {</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  _Poly2Reorient(_Poly2ReorientType type, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> scale = 0.0)</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  : m_type(type), m_scale(scale) {}</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  ~_Poly2Reorient() {}</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keywordtype">void</span> reorient(Polygon<2>& poly, <span class="keywordtype">size_t</span> skip = std::numeric_limits<size_t>::max()) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  _Poly2ReorientType m_type;</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> m_scale;</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> };</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim> <span class="keyword">class </span>_Poly2Orient;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> </div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="keyword">struct </span>_Poly2OrientIntersectData {</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordtype">int</span> dim;</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  Point<2> p1, p2;</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  Vector<2> v1, v2, off;</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keywordtype">bool</span> o1_is_line, o2_is_line;</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> };</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// Finds the intersection of the two planes, returns the</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="comment">// dimension of the intersection space, the rest of the arguments</span></div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> <span class="comment">// are various information returned depending on the dimension of</span></div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> <span class="comment">// the intersection</span></div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="keywordtype">int</span> _Intersect(<span class="keyword">const</span> _Poly2Orient<dim> &, <span class="keyword">const</span> _Poly2Orient<dim> &,</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  _Poly2OrientIntersectData &);</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> </div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="comment">// Keep track of the orientation of a 2D polygon in dim dimensions</span></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="keyword">class </span>_Poly2Orient</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> {</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  _Poly2Orient() : m_origin() {}</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  _Poly2Orient(<span class="keyword">const</span> _Poly2Orient& p) : m_origin() {operator=(p);}</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  ~_Poly2Orient() {}</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> </div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  _Poly2Orient& operator=(<span class="keyword">const</span> _Poly2Orient& p);</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> </div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="comment">// Convert a point in the 2D polygon to a point in dim dimensional space</span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  Point<dim> convert(<span class="keyword">const</span> Point<2>& p) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> </div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="comment">// Try to convert a point from dim dimensions into 2D, expanding the</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="comment">// basis if necessary. Returns true on success. On failure, the</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="comment">// basis is unchanged.</span></div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="keywordtype">bool</span> expand(<span class="keyword">const</span> Point<dim>& pd, Point<2>& p2, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> epsilon = numeric_constants<CoordType>::epsilon());</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> </div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="comment">// Reduce the basis to the minimum necessary to span the points in</span></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="comment">// poly (with the exception of skip). Returns _Poly2Reorient, which needs</span></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="comment">// to be used to reorient the points to match the new basis.</span></div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  _Poly2Reorient reduce(<span class="keyword">const</span> Polygon<2>& poly, <span class="keywordtype">size_t</span> skip = std::numeric_limits<size_t>::max());</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keywordtype">void</span> shift(<span class="keyword">const</span> Vector<dim>& v) {<span class="keywordflow">if</span>(m_origin.isValid()) m_origin += v;}</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keywordtype">void</span> rotate(<span class="keyword">const</span> RotMatrix<dim>& m, <span class="keyword">const</span> Point<dim>& p);</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="comment">// Rotates about the point which corresponds to "p" in the oriented plane</span></div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keywordtype">void</span> rotate2(<span class="keyword">const</span> RotMatrix<dim>& m, <span class="keyword">const</span> Point<2>& p);</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> </div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> <span class="comment">//3D only</span></div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keywordtype">void</span> rotate(<span class="keyword">const</span> Quaternion& q, <span class="keyword">const</span> Point<3>& p);</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="comment">// Rotates about the point which corresponds to "p" in the oriented plane</span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keywordtype">void</span> rotate2(<span class="keyword">const</span> Quaternion& q, <span class="keyword">const</span> Point<2>& p);</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> </div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  _Poly2Orient toParentCoords(<span class="keyword">const</span> Point<dim>& origin,</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keyword">const</span> RotMatrix<dim>& rotation = RotMatrix<dim>().identity())<span class="keyword"> const</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> <span class="keyword"> </span>{_Poly2Orient p(*<span class="keyword">this</span>); p.m_origin = m_origin.toParentCoords(origin, rotation);</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  p.m_axes[0].rotate(rotation); p.m_axes[1].rotate(rotation); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  _Poly2Orient toParentCoords(<span class="keyword">const</span> AxisBox<dim>& coords)<span class="keyword"> const</span></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="keyword"> </span>{_Poly2Orient p(*<span class="keyword">this</span>); p.m_origin = m_origin.toParentCoords(coords); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  _Poly2Orient toParentCoords(<span class="keyword">const</span> RotBox<dim>& coords)<span class="keyword"> const</span></div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> <span class="keyword"> </span>{_Poly2Orient p(*<span class="keyword">this</span>); p.m_origin = m_origin.toParentCoords(coords);</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  p.m_axes[0].rotate(coords.orientation());</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  p.m_axes[1].rotate(coords.orientation()); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> </div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="comment">// toLocal is just like toParent, expect we reverse the order of</span></div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="comment">// translation and rotation and use the opposite sense of the rotation</span></div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="comment">// matrix</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> </div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  _Poly2Orient toLocalCoords(<span class="keyword">const</span> Point<dim>& origin,</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keyword">const</span> RotMatrix<dim>& rotation = RotMatrix<dim>().identity())<span class="keyword"> const</span></div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <span class="keyword"> </span>{_Poly2Orient p(*<span class="keyword">this</span>); p.m_origin = m_origin.toLocalCoords(origin, rotation);</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  p.m_axes[0] = rotation * p.m_axes[0];</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  p.m_axes[1] = rotation * p.m_axes[1]; <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  _Poly2Orient toLocalCoords(<span class="keyword">const</span> AxisBox<dim>& coords)<span class="keyword"> const</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="keyword"> </span>{_Poly2Orient p(*<span class="keyword">this</span>); p.m_origin = m_origin.toLocalCoords(coords); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  _Poly2Orient toLocalCoords(<span class="keyword">const</span> RotBox<dim>& coords)<span class="keyword"> const</span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> <span class="keyword"> </span>{_Poly2Orient p(*<span class="keyword">this</span>); p.m_origin = m_origin.toLocalCoords(coords);</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  p.m_axes[0] = coords.orientation() * p.m_axes[0];</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  p.m_axes[1] = coords.orientation() * p.m_axes[1]; <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span> </div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="comment">// 3D only</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  _Poly2Orient<3> toParentCoords(<span class="keyword">const</span> Point<3>& origin, <span class="keyword">const</span> Quaternion& rotation)<span class="keyword"> const</span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="keyword"> </span>{_Poly2Orient p(*<span class="keyword">this</span>); p.m_origin = m_origin.toParentCoords(origin, rotation);</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  p.m_axes[0].rotate(rotation); p.m_axes[0].rotate(rotation); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  _Poly2Orient<3> toLocalCoords(<span class="keyword">const</span> Point<3>& origin, <span class="keyword">const</span> Quaternion& rotation)<span class="keyword"> const</span></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <span class="keyword"> </span>{_Poly2Orient p(*<span class="keyword">this</span>); p.m_origin = m_origin.toLocalCoords(origin, rotation);</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  p.m_axes[0].rotate(rotation.inverse());</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  p.m_axes[0].rotate(rotation.inverse()); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> </div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="comment">// Gives the offset from pd to the space spanned by</span></div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="comment">// the basis, and puts the nearest point in p2.</span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  Vector<dim> offset(<span class="keyword">const</span> Point<dim>& pd, Point<2>& p2) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span> </div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="comment">// Like offset, but returns true if the point is in the plane</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keywordtype">bool</span> checkContained(<span class="keyword">const</span> Point<dim>& pd, Point<2> & p2) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> </div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="comment">// Check if the AxisBox intersects the spanned space, and if so</span></div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="comment">// return a point in the intersection.</span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="keywordtype">bool</span> checkIntersect(<span class="keyword">const</span> AxisBox<dim>& b, Point<2>& p2, <span class="keywordtype">bool</span> proper) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> </div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="keyword">friend</span> <span class="keywordtype">int</span> _Intersect<dim>(<span class="keyword">const</span> _Poly2Orient<dim> &, <span class="keyword">const</span> _Poly2Orient<dim> &,</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  _Poly2OrientIntersectData &);</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> </div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="comment">// special case of the above when both axes are valid</span></div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="keywordtype">bool</span> checkIntersectPlane(<span class="keyword">const</span> AxisBox<dim>& b, Point<2>& p2, <span class="keywordtype">bool</span> proper) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span> </div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  Point<dim> m_origin;</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  Vector<dim> m_axes[2]; <span class="comment">// Normalized to unit length</span></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span> };</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> </div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim = 3></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> <span class="keyword">class </span>Polygon</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> {</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  Polygon() : m_orient(), m_poly() {}</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  Polygon(<span class="keyword">const</span> Polygon& p) : m_orient(p.m_orient), m_poly(p.m_poly) {}</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> </div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  ~Polygon() {}</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> </div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <span class="keyword">friend</span> std::ostream& operator<< <dim>(std::ostream& os, <span class="keyword">const</span> Polygon& p);</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keyword">friend</span> std::istream& <span class="keyword">operator</span>>> <dim>(std::istream& is, Polygon& p);</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> </div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  Polygon& operator=(<span class="keyword">const</span> Polygon& p)</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  {m_orient = p.m_orient; m_poly = p.m_poly; <span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span> </div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="keywordtype">bool</span> isEqualTo(<span class="keyword">const</span> Polygon& p2, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> epsilon = numeric_constants<CoordType>::epsilon()) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span> </div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> Polygon& p)<span class="keyword"> const </span>{<span class="keywordflow">return</span> isEqualTo(p);}</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> Polygon& p)<span class="keyword"> const </span>{<span class="keywordflow">return</span> !isEqualTo(p);}</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span> </div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keywordtype">bool</span> isValid()<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_poly.isValid();}</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> </div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="comment">// Descriptive characteristics</span></div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> </div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="keywordtype">size_t</span> numCorners()<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_poly.numCorners();}</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  Point<dim> getCorner(<span class="keywordtype">size_t</span> i)<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_orient.convert(m_poly[i]);}</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  Point<dim> getCenter()<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_orient.convert(m_poly.getCenter());}</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span> </div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <span class="comment">// The failure of the following functions does not invalidate the</span></div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="comment">// polygon, but merely leaves it unchaged.</span></div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span> </div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="comment">// Add before i'th corner, zero is beginning, numCorners() is end</span></div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="comment">// Only succeeds if p lies in a plane with all current points</span></div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keywordtype">bool</span> addCorner(<span class="keywordtype">size_t</span> i, <span class="keyword">const</span> Point<dim>& p, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> epsilon = numeric_constants<CoordType>::epsilon());</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span> </div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="comment">// Remove the i'th corner</span></div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="keywordtype">void</span> removeCorner(<span class="keywordtype">size_t</span> i);</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span> </div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <span class="comment">// Move the i'th corner to p, only succeeds if new location</span></div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <span class="comment">// lies in the same plane as all the other points. Note that,</span></div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <span class="comment">// under certain circumstances, this plane may not contain the</span></div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <span class="comment">// original location of the point.</span></div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <span class="keywordtype">bool</span> moveCorner(<span class="keywordtype">size_t</span> i, <span class="keyword">const</span> Point<dim>& p, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> epsilon = numeric_constants<CoordType>::epsilon());</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span> </div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <span class="comment">// Remove all points</span></div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <span class="keywordtype">void</span> clear() {m_poly.clear(); m_orient = _Poly2Orient<dim>();}</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> </div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <span class="comment">// Movement functions</span></div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span> </div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  Polygon& shift(<span class="keyword">const</span> Vector<dim>& v)</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  {m_orient.shift(v); <span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  Polygon& moveCornerTo(<span class="keyword">const</span> Point<dim>& p, <span class="keywordtype">size_t</span> corner)</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  {<span class="keywordflow">return</span> shift(p - getCorner(corner));}</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  Polygon& moveCenterTo(<span class="keyword">const</span> Point<dim>& p)</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  {<span class="keywordflow">return</span> shift(p - getCenter());}</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span> </div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  Polygon& rotateCorner(<span class="keyword">const</span> RotMatrix<dim>& m, <span class="keywordtype">size_t</span> corner)</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  {m_orient.rotate2(m, m_poly[corner]); <span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  Polygon& rotateCenter(<span class="keyword">const</span> RotMatrix<dim>& m)</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  {<span class="keywordflow">if</span>(m_poly.numCorners() > 0)</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  m_orient.rotate2(m, m_poly.getCenter());</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  Polygon& rotatePoint(<span class="keyword">const</span> RotMatrix<dim>& m, <span class="keyword">const</span> Point<dim>& p)</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  {m_orient.rotate(m, p); <span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span> </div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="comment">// 3D rotation functions</span></div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  Polygon<3>& rotateCorner(<span class="keyword">const</span> Quaternion& q, <span class="keywordtype">size_t</span> corner)</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  {m_orient.rotate2(q, m_poly[corner]); <span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  Polygon<3>& rotateCenter(<span class="keyword">const</span> Quaternion& q)</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  {<span class="keywordflow">if</span>(m_poly.numCorners() > 0)</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  m_orient.rotate2(q, m_poly.getCenter());</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  Polygon<3>& rotatePoint(<span class="keyword">const</span> Quaternion& q, <span class="keyword">const</span> Point<3>& p)</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  {m_orient.rotate(q, p); <span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> </div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <span class="comment">// Intersection functions</span></div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> </div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  AxisBox<dim> boundingBox() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  Ball<dim> boundingSphere() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  Ball<dim> boundingSphereSloppy() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span> </div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  Polygon toParentCoords(<span class="keyword">const</span> Point<dim>& origin,</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <span class="keyword">const</span> RotMatrix<dim>& rotation = RotMatrix<dim>().identity())<span class="keyword"> const</span></div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span> <span class="keyword"> </span>{Polygon p(*<span class="keyword">this</span>); p.m_orient = m_orient.toParentCoords(origin, rotation); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  Polygon toParentCoords(<span class="keyword">const</span> AxisBox<dim>& coords)<span class="keyword"> const</span></div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span> <span class="keyword"> </span>{Polygon p(*<span class="keyword">this</span>); p.m_orient = m_orient.toParentCoords(coords); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  Polygon toParentCoords(<span class="keyword">const</span> RotBox<dim>& coords)<span class="keyword"> const</span></div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span> <span class="keyword"> </span>{Polygon p(*<span class="keyword">this</span>); p.m_orient = m_orient.toParentCoords(coords); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span> </div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  <span class="comment">// toLocal is just like toParent, expect we reverse the order of</span></div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="comment">// translation and rotation and use the opposite sense of the rotation</span></div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="comment">// matrix</span></div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span> </div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  Polygon toLocalCoords(<span class="keyword">const</span> Point<dim>& origin,</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <span class="keyword">const</span> RotMatrix<dim>& rotation = RotMatrix<dim>().identity())<span class="keyword"> const</span></div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> <span class="keyword"> </span>{Polygon p(*<span class="keyword">this</span>); p.m_orient = m_orient.toLocalCoords(origin, rotation); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  Polygon toLocalCoords(<span class="keyword">const</span> AxisBox<dim>& coords)<span class="keyword"> const</span></div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span> <span class="keyword"> </span>{Polygon p(*<span class="keyword">this</span>); p.m_orient = m_orient.toLocalCoords(coords); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  Polygon toLocalCoords(<span class="keyword">const</span> RotBox<dim>& coords)<span class="keyword"> const</span></div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span> <span class="keyword"> </span>{Polygon p(*<span class="keyword">this</span>); p.m_orient = m_orient.toLocalCoords(coords); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span> </div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <span class="comment">// 3D only</span></div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  Polygon<3> toParentCoords(<span class="keyword">const</span> Point<3>& origin, <span class="keyword">const</span> Quaternion& rotation)<span class="keyword"> const</span></div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span> <span class="keyword"> </span>{Polygon<3> p(*<span class="keyword">this</span>); p.m_orient = m_orient.toParentCoords(origin, rotation); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  Polygon<3> toLocalCoords(<span class="keyword">const</span> Point<3>& origin, <span class="keyword">const</span> Quaternion& rotation)<span class="keyword"> const</span></div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span> <span class="keyword"> </span>{Polygon<3> p(*<span class="keyword">this</span>); p.m_orient = m_orient.toLocalCoords(origin, rotation); <span class="keywordflow">return</span> p;}</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> </div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Intersect<dim>(<span class="keyword">const</span> Polygon& r, <span class="keyword">const</span> Point<dim>& p, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<dim>(<span class="keyword">const</span> Point<dim>& p, <span class="keyword">const</span> Polygon& r, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span> </div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Intersect<dim>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> AxisBox<dim>& b, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<dim>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> AxisBox<dim>& b, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<dim>(<span class="keyword">const</span> AxisBox<dim>& b, <span class="keyword">const</span> Polygon& p, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span> </div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Intersect<dim>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> Ball<dim>& b, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<dim>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> Ball<dim>& b, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<dim>(<span class="keyword">const</span> Ball<dim>& b, <span class="keyword">const</span> Polygon& p, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span> </div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Intersect<dim>(<span class="keyword">const</span> Polygon& r, <span class="keyword">const</span> Segment<dim>& s, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<dim>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> Segment<dim>& s, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<dim>(<span class="keyword">const</span> Segment<dim>& s, <span class="keyword">const</span> Polygon& p, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span> </div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Intersect<dim>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> RotBox<dim>& r, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<dim>(<span class="keyword">const</span> Polygon& p, <span class="keyword">const</span> RotBox<dim>& r, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<dim>(<span class="keyword">const</span> RotBox<dim>& r, <span class="keyword">const</span> Polygon& p, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span> </div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Intersect<dim>(<span class="keyword">const</span> Polygon& p1, <span class="keyword">const</span> Polygon& p2, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> Contains<dim>(<span class="keyword">const</span> Polygon& outer, <span class="keyword">const</span> Polygon& inner, <span class="keywordtype">bool</span> proper);</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span> </div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span> </div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  _Poly2Orient<dim> m_orient;</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  Polygon<2> m_poly;</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span> };</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span> </div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> Polygon<dim>::addCorner(<span class="keywordtype">size_t</span> i, <span class="keyword">const</span> Point<dim>& p, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> epsilon)</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span> {</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  Point<2> p2;</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  <span class="keywordtype">bool</span> succ = m_orient.expand(p, p2, epsilon);</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <span class="keywordflow">if</span>(succ)</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  m_poly.addCorner(i, p2, epsilon);</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  <span class="keywordflow">return</span> succ;</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span> }</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span> </div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> Polygon<dim>::removeCorner(<span class="keywordtype">size_t</span> i)</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span> {</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  m_poly.removeCorner(i);</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  _Poly2Reorient r = m_orient.reduce(m_poly);</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  r.reorient(m_poly);</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span> }</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span> </div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> Polygon<dim>::moveCorner(<span class="keywordtype">size_t</span> i, <span class="keyword">const</span> Point<dim>& p, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> epsilon)</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span> {</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  _Poly2Orient<dim> try_orient = m_orient;</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  _Poly2Reorient r = try_orient.reduce(m_poly, i);</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  Point<2> p2;</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span> </div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  <span class="keywordflow">if</span>(!try_orient.expand(p, p2, epsilon))</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span> </div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  r.reorient(m_poly, i);</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  m_poly[i] = p2;</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  m_orient = try_orient;</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span> </div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span> }</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span> </div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span> } <span class="comment">// namespace WFMath</span></div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span> </div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span> <span class="preprocessor">#endif // WFMATH_POLYGON_H</span></div>
<div class="ttc" id="namespaceWFMath_html"><div class="ttname"><a href="namespaceWFMath.html">WFMath</a></div><div class="ttdoc">Generic library namespace. </div><div class="ttdef"><b>Definition:</b> atlasconv.h:45</div></div>
<div class="ttc" id="namespaceWFMath_html_ae1c2b5cc60834264a17218f3ddcb16b6"><div class="ttname"><a href="namespaceWFMath.html#ae1c2b5cc60834264a17218f3ddcb16b6">WFMath::BoundingSphereSloppy</a></div><div class="ttdeci">Ball< dim > BoundingSphereSloppy(const container< Point< dim >, std::allocator< Point< dim > > > &c)</div><div class="ttdoc">get a bounding sphere for a set of points </div><div class="ttdef"><b>Definition:</b> ball_funcs.h:92</div></div>
<div class="ttc" id="singletonWFMath_1_1Polygon_html"><div class="ttname"><a href="singletonWFMath_1_1Polygon.html">WFMath::Polygon</a></div><div class="ttdoc">A polygon, all of whose points lie in a plane, embedded in dim dimensions. </div><div class="ttdef"><b>Definition:</b> const.h:51</div></div>
<div class="ttc" id="classWFMath_1_1Polygon_3_012_01_4_html_ae24dd7684e01f0ec2ced208016cee4e6"><div class="ttname"><a href="classWFMath_1_1Polygon_3_012_01_4.html#ae24dd7684e01f0ec2ced208016cee4e6">WFMath::Polygon< 2 >::Polygon</a></div><div class="ttdeci">Polygon(const AtlasInType &a)</div><div class="ttdoc">Construct a polygon from an object passed by Atlas. </div><div class="ttdef"><b>Definition:</b> polygon.h:53</div></div>
<div class="ttc" id="namespaceWFMath_html_a81fd956241071755d20b985a8e647564"><div class="ttname"><a href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">WFMath::CoordType</a></div><div class="ttdeci">float CoordType</div><div class="ttdoc">Basic floating point type. </div><div class="ttdef"><b>Definition:</b> const.h:140</div></div>
<div class="ttc" id="namespaceWFMath_html_a8a4d3066d820a40d5d3d0902518e99e6"><div class="ttname"><a href="namespaceWFMath.html#a8a4d3066d820a40d5d3d0902518e99e6">WFMath::BoundingSphere</a></div><div class="ttdeci">Ball< dim > BoundingSphere(const container< Point< dim >, std::allocator< Point< dim > > > &c)</div><div class="ttdoc">get the minimal bounding sphere for a set of points </div><div class="ttdef"><b>Definition:</b> ball_funcs.h:57</div></div>
<div class="ttc" id="namespaceWFMath_html_a7ac4402454b03a7b74ca90eeea7539b0"><div class="ttname"><a href="namespaceWFMath.html#a7ac4402454b03a7b74ca90eeea7539b0">WFMath::Barycenter</a></div><div class="ttdeci">Point< dim > Barycenter(const container< Point< dim >, std::allocator< Point< dim > > > &c)</div><div class="ttdoc">Find the center of a set of points, all weighted equally. </div><div class="ttdef"><b>Definition:</b> point_funcs.h:207</div></div>
<div class="ttc" id="namespaceWFMath_html_a6fe582785f78d2c873ef019ee943f620"><div class="ttname"><a href="namespaceWFMath.html#a6fe582785f78d2c873ef019ee943f620">WFMath::BoundingBox</a></div><div class="ttdeci">AxisBox< dim > BoundingBox(const container< AxisBox< dim >, std::allocator< AxisBox< dim > > > &c)</div><div class="ttdoc">Get the axis-aligned bounding box for a set of boxes. </div><div class="ttdef"><b>Definition:</b> axisbox_funcs.h:130</div></div>
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