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<div class="title">vector.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">// vector.h (Vector<> class definition)</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) 2001 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> </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment">// Author: Ron Steinke</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment">// Created: 2001-12-7</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="comment">// Extensive amounts of this material come from the Vector2D</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment">// and Vector3D classes from stage/math, written by Bryce W.</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment">// Harrington, Kosh, and Jari Sundell (Rakshasa).</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#ifndef WFMATH_VECTOR_H</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#define WFMATH_VECTOR_H</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include <wfmath/const.h></span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> </div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include <iosfwd></span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include <cmath></span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">namespace </span><a class="code" href="namespaceWFMath.html">WFMath</a> {</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> </div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> Vector<dim>& operator+=(Vector<dim>& v1, <span class="keyword">const</span> Vector<dim>& v2);</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> Vector<dim>& operator-=(Vector<dim>& v1, <span class="keyword">const</span> Vector<dim>& v2);</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> Vector<dim>& operator*=(Vector<dim>& v, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> d);</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> Vector<dim>& operator/=(Vector<dim>& v, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> d);</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> Vector<dim> operator+(<span class="keyword">const</span> Vector<dim>& v1, <span class="keyword">const</span> Vector<dim>& v2);</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> Vector<dim> operator-(<span class="keyword">const</span> Vector<dim>& v1, <span class="keyword">const</span> Vector<dim>& v2);</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> Vector<dim> operator-(<span class="keyword">const</span> Vector<dim>& v); <span class="comment">// Unary minus</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> Vector<dim> <a class="code" href="namespaceWFMath.html#ae265cf01c90eef4afb146a78685c3323">operator*</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> d, <span class="keyword">const</span> Vector<dim>& v);</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> Vector<dim> <a class="code" href="namespaceWFMath.html#ae265cf01c90eef4afb146a78685c3323">operator*</a>(<span class="keyword">const</span> Vector<dim>& v, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> d);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> Vector<dim> operator/(<span class="keyword">const</span> Vector<dim>& v, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> d);</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> Dot(<span class="keyword">const</span> Vector<dim>& v1, <span class="keyword">const</span> Vector<dim>& v2);</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> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> Angle(<span class="keyword">const</span> Vector<dim>& v, <span class="keyword">const</span> Vector<dim>& u);</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="comment">// The following are defined in rotmatrix_funcs.h</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="comment"></span><span class="keyword">template</span><<span class="keywordtype">int</span> dim> <span class="comment">// m * v</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> Vector<dim> <a class="code" href="namespaceWFMath.html#a48ce116a2120805e20e5f1c8240a3460">Prod</a>(<span class="keyword">const</span> RotMatrix<dim>& m, <span class="keyword">const</span> Vector<dim>& v);</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim> <span class="comment">// m^-1 * v</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> Vector<dim> <a class="code" href="namespaceWFMath.html#a3e0619f7277d1c4a652a0d9b6e38bf0e">InvProd</a>(<span class="keyword">const</span> RotMatrix<dim>& m, <span class="keyword">const</span> Vector<dim>& v);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> </div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim> <span class="comment">// v * m</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> Vector<dim> <a class="code" href="namespaceWFMath.html#a48ce116a2120805e20e5f1c8240a3460">Prod</a>(<span class="keyword">const</span> Vector<dim>& v, <span class="keyword">const</span> RotMatrix<dim>& m);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim> <span class="comment">// v * m^-1</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> Vector<dim> <a class="code" href="namespaceWFMath.html#ac37d80d34e09f1f55f655aae7ea475a1">ProdInv</a>(<span class="keyword">const</span> Vector<dim>& v, <span class="keyword">const</span> RotMatrix<dim>& m);</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> Vector<dim> <a class="code" href="namespaceWFMath.html#ae265cf01c90eef4afb146a78685c3323">operator*</a>(<span class="keyword">const</span> RotMatrix<dim>& m, <span class="keyword">const</span> Vector<dim>& v);</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> Vector<dim> <a class="code" href="namespaceWFMath.html#ae265cf01c90eef4afb146a78685c3323">operator*</a>(<span class="keyword">const</span> Vector<dim>& v, <span class="keyword">const</span> RotMatrix<dim>& m);</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="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> Vector<dim> operator-(<span class="keyword">const</span> Point<dim>& c1, <span class="keyword">const</span> Point<dim>& c2);</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> Point<dim> operator+(<span class="keyword">const</span> Point<dim>& c, <span class="keyword">const</span> Vector<dim>& v);</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> Point<dim> operator-(<span class="keyword">const</span> Point<dim>& c, <span class="keyword">const</span> Vector<dim>& v);</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> Point<dim> operator+(<span class="keyword">const</span> Vector<dim>& v, <span class="keyword">const</span> Point<dim>& c);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> Point<dim>& operator+=(Point<dim>& p, <span class="keyword">const</span> Vector<dim>& v);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> Point<dim>& operator-=(Point<dim>& p, <span class="keyword">const</span> Vector<dim>& v);</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> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> std::ostream& operator<<(std::ostream& os, const Vector<dim>& v);</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> std::istream& operator>>(std::istream& is, Vector<dim>& v);</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> </div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="keyword">template</span><<span class="keyword">typename</span> Shape></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="keyword">class </span>ZeroPrimitive;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> </div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim = 3></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="keyword">class </span>Vector {</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keyword">friend</span> <span class="keyword">class </span>ZeroPrimitive<<a class="code" href="singletonWFMath_1_1Vector.html#a4c95a0a7a6d9972c8f60399d239cf78f">Vector</a><dim> >;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a4c95a0a7a6d9972c8f60399d239cf78f"> 125</a></span>  <a class="code" href="singletonWFMath_1_1Vector.html#a4c95a0a7a6d9972c8f60399d239cf78f">Vector</a>() : m_valid(false) {}</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="singletonWFMath_1_1Vector.html#a4c95a0a7a6d9972c8f60399d239cf78f">Vector</a>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector</a>& v);</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keyword">explicit</span> <a class="code" href="singletonWFMath_1_1Vector.html#a4c95a0a7a6d9972c8f60399d239cf78f">Vector</a>(<span class="keyword">const</span> AtlasInType& a);</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keyword">explicit</span> <a class="code" href="singletonWFMath_1_1Vector.html#a4c95a0a7a6d9972c8f60399d239cf78f">Vector</a>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Point.html">Point<dim></a>& point);</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a>& <a class="code" href="singletonWFMath_1_1Vector.html#a67964633ce60f71437d865f7fb537f0d">ZERO</a>();</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  </div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keyword">friend</span> std::ostream& operator<< <dim>(std::ostream& os, <span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector</a>& v);</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keyword">friend</span> std::istream& <span class="keyword">operator</span>>> <dim>(std::istream& is, <a class="code" href="singletonWFMath_1_1Vector.html">Vector</a>& v);</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> </div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  AtlasOutType <a class="code" href="singletonWFMath_1_1Vector.html#a8947068eae086b53b80fe136dd10a305">toAtlas</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordtype">void</span> <a class="code" href="singletonWFMath_1_1Vector.html#ae945787cd686e60b7e137ba5cf393489">fromAtlas</a>(<span class="keyword">const</span> AtlasInType& a);</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>  <a class="code" href="singletonWFMath_1_1Vector.html">Vector</a>& operator=(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector</a>& v);</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordtype">bool</span> isEqualTo(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector</a>& v, <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="l00149"></a><span class="lineno"> 149</span>  <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector</a>& v)<span class="keyword"> const </span>{<span class="keywordflow">return</span> isEqualTo(v);}</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html#a4c95a0a7a6d9972c8f60399d239cf78f">Vector</a>& v)<span class="keyword"> const </span>{<span class="keywordflow">return</span> !isEqualTo(v);}</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordtype">bool</span> isValid()<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_valid;}</div>
<div class="line"><a name="l00154"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a9a456bcb1358ef4a9bc8456a6b668d29"> 154</a></span>  <span class="keywordtype">void</span> <a class="code" href="singletonWFMath_1_1Vector.html#a9a456bcb1358ef4a9bc8456a6b668d29">setValid</a>(<span class="keywordtype">bool</span> valid = <span class="keyword">true</span>) {m_valid = valid;}</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="singletonWFMath_1_1Vector.html">Vector</a>& <a class="code" href="singletonWFMath_1_1Vector.html#a649f2804f47456dd19073362cd9114a6">zero</a>();</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> </div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="comment">// Math operators</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keyword">friend</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector</a>& <span class="keyword">operator</span>+=<dim>(<a class="code" href="singletonWFMath_1_1Vector.html">Vector</a>& v1, <span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector</a>& v2);</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keyword">friend</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector</a>& <span class="keyword">operator</span>-=<dim>(Vector& v1, <span class="keyword">const</span> Vector& v2);</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keyword">friend</span> Vector& <span class="keyword">operator</span>*=<dim>(Vector& v, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> d);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keyword">friend</span> Vector& <span class="keyword">operator</span>/=<dim>(Vector& v, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> d);</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keyword">friend</span> Vector <span class="keyword">operator</span>+<dim>(<span class="keyword">const</span> Vector& v1, <span class="keyword">const</span> Vector& v2);</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keyword">friend</span> Vector <span class="keyword">operator</span>-<dim>(<span class="keyword">const</span> Vector& v1, <span class="keyword">const</span> Vector& v2);</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keyword">friend</span> Vector <span class="keyword">operator</span>-<dim>(<span class="keyword">const</span> Vector& v); <span class="comment">// Unary minus</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="comment"></span> <span class="keyword">friend</span> Vector <span class="keyword">operator</span>*<dim>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> d, <span class="keyword">const</span> Vector& v);</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keyword">friend</span> Vector <span class="keyword">operator</span>*<dim>(<span class="keyword">const</span> Vector& v, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> d);</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keyword">friend</span> Vector <span class="keyword">operator</span>/<dim>(<span class="keyword">const</span> Vector& v, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> d);</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="comment">// documented outside the class definition</span></div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keyword">friend</span> Vector Prod<dim>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1RotMatrix.html">RotMatrix<dim></a>& m, <span class="keyword">const</span> Vector& v);</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keyword">friend</span> Vector InvProd<dim>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1RotMatrix.html">RotMatrix<dim></a>& m, <span class="keyword">const</span> Vector& v);</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> </div>
<div class="line"><a name="l00188"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#afadd2b353a13d6b6a60bf27a9bf3c6bc"> 188</a></span>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#afadd2b353a13d6b6a60bf27a9bf3c6bc">operator[]</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> i)<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_elem[i];}</div>
<div class="line"><a name="l00190"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a92b6f868fc77fa0b7d3ab902b927a43c"> 190</a></span>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>& <a class="code" href="singletonWFMath_1_1Vector.html#a92b6f868fc77fa0b7d3ab902b927a43c">operator[]</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> i) {<span class="keywordflow">return</span> m_elem[i];}</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> </div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keyword">friend</span> Vector <span class="keyword">operator</span>-<dim>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Point.html">Point<dim></a>& c1, <span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Point.html">Point<dim></a>& c2);</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keyword">friend</span> <a class="code" href="singletonWFMath_1_1Point.html">Point<dim></a> <span class="keyword">operator</span>+<dim>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Point.html">Point<dim></a>& c, <span class="keyword">const</span> Vector& v);</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keyword">friend</span> <a class="code" href="singletonWFMath_1_1Point.html">Point<dim></a> <span class="keyword">operator</span>-<dim>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Point.html">Point<dim></a>& c, <span class="keyword">const</span> Vector& v);</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keyword">friend</span> <a class="code" href="singletonWFMath_1_1Point.html">Point<dim></a> <span class="keyword">operator</span>+<dim>(<span class="keyword">const</span> Vector& v, <span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Point.html">Point<dim></a>& c);</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> </div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keyword">friend</span> <a class="code" href="singletonWFMath_1_1Point.html">Point<dim></a>& <span class="keyword">operator</span>+=<dim>(Point<dim>& p, <span class="keyword">const</span> Vector& rhs);</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keyword">friend</span> Point<dim>& <span class="keyword">operator</span>-=<dim>(Point<dim>& p, <span class="keyword">const</span> Vector& rhs);</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> </div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keyword">friend</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a475b29d811d95faa55fe06a3701d9e93">Cross</a>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<2></a>& v1, <span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<2></a>& v2);</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keyword">friend</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<3></a> <a class="code" href="singletonWFMath_1_1Vector.html#a475b29d811d95faa55fe06a3701d9e93">Cross</a>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<3></a>& v1, <span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<3></a>& v2);</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keyword">friend</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> Dot<dim>(<span class="keyword">const</span> Vector& v1, <span class="keyword">const</span> Vector& v2);</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keyword">friend</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> Angle<dim>(<span class="keyword">const</span> Vector& v, <span class="keyword">const</span> Vector& u);</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> </div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a0ecbc49abf16c71a912bdeb5b239ca14">sqrMag</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00217"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a3d68c680b5ce33ed964dd28c2ebfb358"> 217</a></span>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a3d68c680b5ce33ed964dd28c2ebfb358">mag</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> std::sqrt(<a class="code" href="singletonWFMath_1_1Vector.html#a0ecbc49abf16c71a912bdeb5b239ca14">sqrMag</a>());}</div>
<div class="line"><a name="l00219"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a0eb4fe8fcbed46a123fafeb6b9d6e36d"> 219</a></span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#a0eb4fe8fcbed46a123fafeb6b9d6e36d">normalize</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> norm = 1.0)</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  {<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> themag = <a class="code" href="singletonWFMath_1_1Vector.html#a3d68c680b5ce33ed964dd28c2ebfb358">mag</a>(); <span class="keywordflow">return</span> (*<span class="keyword">this</span> *= norm / themag);}</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> </div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> </div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a8169b897f6896eba5e4378f0c883455b">sloppyMag</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> </div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#a861e95931569a2406edb0a6102e07f8d">sloppyNorm</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> norm = 1.0);</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> </div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="comment">// Can't seem to implement these as constants, implementing</span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="comment">// inline lookup functions instead.</span></div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="comment"></span> <span class="keyword">static</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a56cb6e59ee69beb55e9a7327a26df50b">sloppyMagMax</a>();</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> </div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keyword">static</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a677954760a1f40dfe6e529c24a223f0b">sloppyMagMaxSqrt</a>();</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#abeec4ab40a9b5da0e7581731d258b915">rotate</a>(<span class="keywordtype">int</span> axis1, <span class="keywordtype">int</span> axis2, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> theta);</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> </div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> </div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#abeec4ab40a9b5da0e7581731d258b915">rotate</a>(<span class="keyword">const</span> Vector& v1, <span class="keyword">const</span> Vector& v2, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> theta);</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#abeec4ab40a9b5da0e7581731d258b915">rotate</a>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1RotMatrix.html">RotMatrix<dim></a>&);</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> </div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="comment">// mirror image functions</span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> </div>
<div class="line"><a name="l00271"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a2253896f1acfe08f5693c41e3296b3dd"> 271</a></span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#a2253896f1acfe08f5693c41e3296b3dd">mirror</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> i) { m_elem[i] *= -1; <span class="keywordflow">return</span> *<span class="keyword">this</span>;}</div>
<div class="line"><a name="l00273"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#abae1d18b6cdf19ad8a4a035814013295"> 273</a></span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#abae1d18b6cdf19ad8a4a035814013295">mirror</a>(<span class="keyword">const</span> Vector& v)</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  {<span class="keywordflow">return</span> <a class="code" href="singletonWFMath_1_1Vector.html#a8acb4920dec5d1617c2179fa4644e55c">operator-=</a>(*<span class="keyword">this</span>, 2 * v * <a class="code" href="singletonWFMath_1_1Vector.html#aa1fb2e1d3e55d8422b8639291cb35bd7">Dot</a>(v, *<span class="keyword">this</span>) / v.sqrMag());}</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> </div>
<div class="line"><a name="l00279"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a5f36291a13c039eb478cae53a0f6ffc1"> 279</a></span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#a5f36291a13c039eb478cae53a0f6ffc1">mirror</a>() {<span class="keywordflow">return</span> <a class="code" href="singletonWFMath_1_1Vector.html#aab42534581635e85a485b301028e32f9">operator*=</a>(*<span class="keyword">this</span>, -1);}</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span> </div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="comment">// Specialized 2D/3D stuff starts here</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="comment">// The following functions are defined only for</span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="comment">// two dimensional (rotate(CoordType), Vector<>(CoordType, CoordType))</span></div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="comment">// and three dimensional (the rest of them) vectors.</span></div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="comment">// Attempting to call these on any other vector will</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="comment">// result in a linker error.</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> </div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <a class="code" href="singletonWFMath_1_1Vector.html#a4c95a0a7a6d9972c8f60399d239cf78f">Vector</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a87c3148c745515c76f1eb7ee86622cda">x</a>, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#abcc34cf449b7f17616b7cc7071b65f11">y</a>);</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <a class="code" href="singletonWFMath_1_1Vector.html#a4c95a0a7a6d9972c8f60399d239cf78f">Vector</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a87c3148c745515c76f1eb7ee86622cda">x</a>, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#abcc34cf449b7f17616b7cc7071b65f11">y</a>, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a2c873374610941a14106c501d3a21892">z</a>);</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> </div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#abeec4ab40a9b5da0e7581731d258b915">rotate</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> theta);</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> </div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#a87bf279fe82aa5924c12681892a9c7db">rotateX</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> theta);</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#a000b09ead89c89dc6297e30e36e5c4b5">rotateY</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> theta);</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#a14bf65276970d896fcfa2af11f8a2871">rotateZ</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> theta);</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>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#abeec4ab40a9b5da0e7581731d258b915">rotate</a>(<span class="keyword">const</span> Vector& axis, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> theta);</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#abeec4ab40a9b5da0e7581731d258b915">rotate</a>(<span class="keyword">const</span> <a class="code" href="classWFMath_1_1Quaternion.html">Quaternion</a>& q);</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> </div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="comment">// Label the first three components of the vector as (x,y,z) for</span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <span class="comment">// 2D/3D convienience</span></div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> </div>
<div class="line"><a name="l00313"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a87c3148c745515c76f1eb7ee86622cda"> 313</a></span>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a87c3148c745515c76f1eb7ee86622cda">x</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_elem[0];}</div>
<div class="line"><a name="l00315"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a1354c90de87e4244331c311cc76efe92"> 315</a></span>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>& <a class="code" href="singletonWFMath_1_1Vector.html#a1354c90de87e4244331c311cc76efe92">x</a>() {<span class="keywordflow">return</span> m_elem[0];}</div>
<div class="line"><a name="l00317"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#abcc34cf449b7f17616b7cc7071b65f11"> 317</a></span>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#abcc34cf449b7f17616b7cc7071b65f11">y</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_elem[1];}</div>
<div class="line"><a name="l00319"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a60aaa444489d9f518106dbc1357b54e3"> 319</a></span>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>& <a class="code" href="singletonWFMath_1_1Vector.html#a60aaa444489d9f518106dbc1357b54e3">y</a>() {<span class="keywordflow">return</span> m_elem[1];}</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a2c873374610941a14106c501d3a21892">z</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>& <a class="code" href="singletonWFMath_1_1Vector.html#a2c873374610941a14106c501d3a21892">z</a>();</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span> </div>
<div class="line"><a name="l00326"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a8234075fddd6bd32da1e54df5e377d02"> 326</a></span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#a8234075fddd6bd32da1e54df5e377d02">mirrorX</a>() {<span class="keywordflow">return</span> <a class="code" href="singletonWFMath_1_1Vector.html#a5f36291a13c039eb478cae53a0f6ffc1">mirror</a>(0);}</div>
<div class="line"><a name="l00328"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#af945c5cf4c5272cfa2732d779417ce0a"> 328</a></span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#af945c5cf4c5272cfa2732d779417ce0a">mirrorY</a>() {<span class="keywordflow">return</span> <a class="code" href="singletonWFMath_1_1Vector.html#a5f36291a13c039eb478cae53a0f6ffc1">mirror</a>(1);}</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#a7c96a6927d5f86d8a32e6ef34c780d01">mirrorZ</a>();</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> </div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#a0ee5d909aa1f832cdf1a1ca7d9a1515f">polar</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> r, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> theta);</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="keywordtype">void</span> <a class="code" href="singletonWFMath_1_1Vector.html#a55fbcf68bfc07a123a3b307254cd1d19">asPolar</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>& r, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>& theta) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span> </div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#a0ee5d909aa1f832cdf1a1ca7d9a1515f">polar</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> r, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> theta, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a2c873374610941a14106c501d3a21892">z</a>);</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="keywordtype">void</span> <a class="code" href="singletonWFMath_1_1Vector.html#a55fbcf68bfc07a123a3b307254cd1d19">asPolar</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>& r, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>& theta, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>& <a class="code" href="singletonWFMath_1_1Vector.html#a2c873374610941a14106c501d3a21892">z</a>) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  Vector& <a class="code" href="singletonWFMath_1_1Vector.html#aa71fb7e588906d20153e62ea1e7ca895">spherical</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> r, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> theta, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> phi);</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <span class="keywordtype">void</span> <a class="code" href="singletonWFMath_1_1Vector.html#a57ad2d638a835f9f12b9e650848df87a">asSpherical</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>& r, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>& theta, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>& phi) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span> </div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <span class="keyword">const</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>* elements()<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_elem;}</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> </div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <span class="keywordtype">double</span> _scaleEpsilon(<span class="keyword">const</span> Vector& v, <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="l00350"></a><span class="lineno"> 350</span> <span class="keyword"> </span>{<span class="keywordflow">return</span> _ScaleEpsilon(m_elem, v.m_elem, dim, epsilon);}</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>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> m_elem[dim];</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <span class="keywordtype">bool</span> m_valid;</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span> };</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span> </div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span> <span class="keyword">template</span><></div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span> <span class="keyword">inline</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a2c873374610941a14106c501d3a21892">Vector<3>::z</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <span class="keywordflow">return</span> m_elem[2];</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> </div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> <span class="keyword">template</span><></div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span> <span class="keyword">inline</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a>& <a class="code" href="singletonWFMath_1_1Vector.html#a2c873374610941a14106c501d3a21892">Vector<3>::z</a>()</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span> {</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="keywordflow">return</span> m_elem[2];</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span> }</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span> </div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> <span class="keyword">template</span><></div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span> <span class="keyword">inline</span> Vector<3>& <a class="code" href="singletonWFMath_1_1Vector.html#a7c96a6927d5f86d8a32e6ef34c780d01">Vector<3>::mirrorZ</a>()</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span> {</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  <span class="keywordflow">return</span> mirror(2);</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span> }</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> </div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="namespaceWFMath.html#a47336e0fcae85dfd45ea9d8dc28a7444">Cross</a>(<span class="keyword">const</span> Vector<2>& v1, <span class="keyword">const</span> Vector<2>& v2);</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> Vector<3> <a class="code" href="namespaceWFMath.html#a47336e0fcae85dfd45ea9d8dc28a7444">Cross</a>(<span class="keyword">const</span> Vector<3>& v1, <span class="keyword">const</span> Vector<3>& v2);</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> </div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span> </div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceWFMath.html#a7ae06f5cbff78d44bbc9178f272f7fc6">Parallel</a>(<span class="keyword">const</span> Vector<dim>& v1, <span class="keyword">const</span> Vector<dim>& v2, <span class="keywordtype">bool</span>& same_dir);</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span> </div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span> </div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceWFMath.html#a7ae06f5cbff78d44bbc9178f272f7fc6">Parallel</a>(<span class="keyword">const</span> Vector<dim>& v1, <span class="keyword">const</span> Vector<dim>& v2);</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span> </div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceWFMath.html#ac66ecb657deedc45f55cc19e4ffdda0e">Perpendicular</a>(<span class="keyword">const</span> Vector<dim>& v1, <span class="keyword">const</span> Vector<dim>& v2);</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span> </div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00400"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a06ca8cbab2b706b2a4e6b21ed24e0087"> 400</a></span> <span class="keyword">inline</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a> operator+(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a>& v1, <span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a>& v2)</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span> {</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a> ans(v1);</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span> </div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  ans += v2;</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="keywordflow">return</span> ans;</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span> }</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span> </div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00410"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a885f29c16d9844e1629e3f4c89cf5499"> 410</a></span> <span class="keyword">inline</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a> operator-(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a>& v1, <span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a>& v2)</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>  <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a> ans(v1);</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span> </div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  ans -= v2;</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span> </div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <span class="keywordflow">return</span> ans;</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span> }</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">template</span> <<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00420"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a5c8058d164bbe7ca5e2ae1fa5b7ad6ba"> 420</a></span> <span class="keyword">inline</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a> <a class="code" href="namespaceWFMath.html#ae265cf01c90eef4afb146a78685c3323">operator*</a>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a>& v, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> d)</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span> {</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a> ans(v);</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span> </div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  ans *= d;</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span> </div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  <span class="keywordflow">return</span> ans;</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span> }</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span> </div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00430"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#a4c743650780ec35eb6ba53a76fa1a090"> 430</a></span> <span class="keyword">inline</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a> <a class="code" href="namespaceWFMath.html#ae265cf01c90eef4afb146a78685c3323">operator*</a>(<a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> d, <span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a>& v)</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span> {</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a> ans(v);</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>  ans *= d;</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>  <span class="keywordflow">return</span> ans;</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span> }</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> <span class="keyword">template</span> <<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00440"></a><span class="lineno"><a class="line" href="singletonWFMath_1_1Vector.html#afa980d9b7e68ebd26c85e95e077f5d2b"> 440</a></span> <span class="keyword">inline</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a> operator/(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a>& v, <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> d)</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span> {</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a> ans(v);</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span> </div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  ans /= d;</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span> </div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <span class="keywordflow">return</span> ans;</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span> }</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> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00450"></a><span class="lineno"><a class="line" href="namespaceWFMath.html#a7ae06f5cbff78d44bbc9178f272f7fc6"> 450</a></span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceWFMath.html#a7ae06f5cbff78d44bbc9178f272f7fc6">Parallel</a>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a>& v1,</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a>& v2,</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  <span class="keywordtype">bool</span>& same_dir)</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span> {</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> dot = Dot(v1, v2);</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span> </div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  same_dir = (dot > 0);</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="keywordflow">return</span> <a class="code" href="namespaceWFMath.html#a4add4b50f00b10c44cef3890f361311c">Equal</a>(dot * dot, v1.sqrMag() * v2.sqrMag());</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span> }</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> <span class="keyword">template</span><<span class="keywordtype">int</span> dim></div>
<div class="line"><a name="l00462"></a><span class="lineno"><a class="line" href="namespaceWFMath.html#aacf580f399386a8f0a45c456bf36d1fa"> 462</a></span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceWFMath.html#a7ae06f5cbff78d44bbc9178f272f7fc6">Parallel</a>(<span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a>& v1, <span class="keyword">const</span> <a class="code" href="singletonWFMath_1_1Vector.html">Vector<dim></a>& v2)</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span> {</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <span class="keywordtype">bool</span> same_dir;</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span> </div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  <span class="keywordflow">return</span> <a class="code" href="namespaceWFMath.html#a7ae06f5cbff78d44bbc9178f272f7fc6">Parallel</a>(v1, v2, same_dir);</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> </div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span> <span class="keyword">template</span><></div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span> <span class="keyword">inline</span> CoordType Vector<1>::sloppyMagMax()</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> 1.f;</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="keyword">template</span><></div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span> <span class="keyword">inline</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a56cb6e59ee69beb55e9a7327a26df50b">Vector<2>::sloppyMagMax</a>()</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span> {</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <span class="keywordflow">return</span> 1.082392200292393968799446410733f;</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span> }</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span> </div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span> <span class="keyword">template</span><></div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span> <span class="keyword">inline</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a56cb6e59ee69beb55e9a7327a26df50b">Vector<3>::sloppyMagMax</a>()</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span> {</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  <span class="keywordflow">return</span> 1.145934719303161490541433900265f;</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span> }</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span> </div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span> <span class="keyword">template</span><></div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span> <span class="keyword">inline</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> Vector<1>::sloppyMagMaxSqrt()</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span> {</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <span class="keywordflow">return</span> 1.f;</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span> }</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span> </div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span> <span class="keyword">template</span><></div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span> <span class="keyword">inline</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a677954760a1f40dfe6e529c24a223f0b">Vector<2>::sloppyMagMaxSqrt</a>()</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span> {</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  <span class="keywordflow">return</span> 1.040380795811030899095785063701f;</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span> }</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span> </div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span> <span class="keyword">template</span><></div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span> <span class="keyword">inline</span> <a class="code" href="namespaceWFMath.html#a81fd956241071755d20b985a8e647564">CoordType</a> <a class="code" href="singletonWFMath_1_1Vector.html#a677954760a1f40dfe6e529c24a223f0b">Vector<3>::sloppyMagMaxSqrt</a>()</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span> {</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  <span class="keywordflow">return</span> 1.070483404496847625250328653179f;</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span> }</div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span> </div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span> } <span class="comment">// namespace WFMath</span></div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span> </div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span> <span class="preprocessor">#endif // WFMATH_VECTOR_H</span></div>
<div class="ttc" id="namespaceWFMath_html_a4add4b50f00b10c44cef3890f361311c"><div class="ttname"><a href="namespaceWFMath.html#a4add4b50f00b10c44cef3890f361311c">WFMath::Equal</a></div><div class="ttdeci">bool Equal(const C &c1, const C &c2, CoordType epsilon=numeric_constants< CoordType >::epsilon())</div><div class="ttdoc">Test for equality up to precision epsilon. </div><div class="ttdef"><b>Definition:</b> const.h:158</div></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="singletonWFMath_1_1Vector_html_a8acb4920dec5d1617c2179fa4644e55c"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a8acb4920dec5d1617c2179fa4644e55c">WFMath::Vector::operator-=</a></div><div class="ttdeci">friend Vector & operator-=(Vector &v1, const Vector &v2)</div><div class="ttdoc">Subtract the second vector from the first. </div><div class="ttdef"><b>Definition:</b> vector_funcs.h:108</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_aa1fb2e1d3e55d8422b8639291cb35bd7"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#aa1fb2e1d3e55d8422b8639291cb35bd7">WFMath::Vector::Dot</a></div><div class="ttdeci">friend CoordType Dot(const Vector &v1, const Vector &v2)</div><div class="ttdoc">The dot product of two vectors. </div><div class="ttdef"><b>Definition:</b> vector_funcs.h:223</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a2253896f1acfe08f5693c41e3296b3dd"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a2253896f1acfe08f5693c41e3296b3dd">WFMath::Vector::mirror</a></div><div class="ttdeci">Vector & mirror(const int i)</div><div class="ttdoc">Reflect a vector in the direction of the i'th axis. </div><div class="ttdef"><b>Definition:</b> vector.h:271</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a0eb4fe8fcbed46a123fafeb6b9d6e36d"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a0eb4fe8fcbed46a123fafeb6b9d6e36d">WFMath::Vector::normalize</a></div><div class="ttdeci">Vector & normalize(CoordType norm=1.0)</div><div class="ttdoc">Normalize a vector. </div><div class="ttdef"><b>Definition:</b> vector.h:219</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a92b6f868fc77fa0b7d3ab902b927a43c"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a92b6f868fc77fa0b7d3ab902b927a43c">WFMath::Vector::operator[]</a></div><div class="ttdeci">CoordType & operator[](const int i)</div><div class="ttdoc">Get the i'th element of the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:190</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a56cb6e59ee69beb55e9a7327a26df50b"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a56cb6e59ee69beb55e9a7327a26df50b">WFMath::Vector::sloppyMagMax</a></div><div class="ttdeci">static CoordType sloppyMagMax()</div><div class="ttdoc">The maximum ratio of the return value of sloppyMag() to the true magnitude. </div></div>
<div class="ttc" id="singletonWFMath_1_1Point_html"><div class="ttname"><a href="singletonWFMath_1_1Point.html">WFMath::Point</a></div><div class="ttdoc">A dim dimensional point. </div><div class="ttdef"><b>Definition:</b> const.h:50</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a0ee5d909aa1f832cdf1a1ca7d9a1515f"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a0ee5d909aa1f832cdf1a1ca7d9a1515f">WFMath::Vector::polar</a></div><div class="ttdeci">Vector & polar(CoordType r, CoordType theta)</div><div class="ttdoc">2D only: construct a vector from polar coordinates </div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_ae945787cd686e60b7e137ba5cf393489"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#ae945787cd686e60b7e137ba5cf393489">WFMath::Vector::fromAtlas</a></div><div class="ttdeci">void fromAtlas(const AtlasInType &a)</div><div class="ttdoc">Set the vector's value to that given by an Atlas object. </div><div class="ttdef"><b>Definition:</b> atlasconv.h:109</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a87c3148c745515c76f1eb7ee86622cda"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a87c3148c745515c76f1eb7ee86622cda">WFMath::Vector::x</a></div><div class="ttdeci">CoordType x() const </div><div class="ttdoc">Access the first component of a vector. </div><div class="ttdef"><b>Definition:</b> vector.h:313</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a475b29d811d95faa55fe06a3701d9e93"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a475b29d811d95faa55fe06a3701d9e93">WFMath::Vector::Cross</a></div><div class="ttdeci">friend CoordType Cross(const Vector< 2 > &v1, const Vector< 2 > &v2)</div><div class="ttdoc">2D only: get the z component of the cross product of two vectors </div></div>
<div class="ttc" id="namespaceWFMath_html_ac66ecb657deedc45f55cc19e4ffdda0e"><div class="ttname"><a href="namespaceWFMath.html#ac66ecb657deedc45f55cc19e4ffdda0e">WFMath::Perpendicular</a></div><div class="ttdeci">bool Perpendicular(const Vector< dim > &v1, const Vector< dim > &v2)</div><div class="ttdoc">Check if two vectors are perpendicular. </div><div class="ttdef"><b>Definition:</b> vector_funcs.h:250</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a9a456bcb1358ef4a9bc8456a6b668d29"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a9a456bcb1358ef4a9bc8456a6b668d29">WFMath::Vector::setValid</a></div><div class="ttdeci">void setValid(bool valid=true)</div><div class="ttdoc">make isValid() return true if you've initialized the vector by hand </div><div class="ttdef"><b>Definition:</b> vector.h:154</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a000b09ead89c89dc6297e30e36e5c4b5"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a000b09ead89c89dc6297e30e36e5c4b5">WFMath::Vector::rotateY</a></div><div class="ttdeci">Vector & rotateY(CoordType theta)</div><div class="ttdoc">3D only: rotate a vector about the y axis by an angle theta </div></div>
<div class="ttc" id="singletonWFMath_1_1RotMatrix_html"><div class="ttname"><a href="singletonWFMath_1_1RotMatrix.html">WFMath::RotMatrix</a></div><div class="ttdoc">A dim dimensional rotation matrix. Technically, a member of the group O(dim). </div><div class="ttdef"><b>Definition:</b> const.h:53</div></div>
<div class="ttc" id="namespaceWFMath_html_a3e0619f7277d1c4a652a0d9b6e38bf0e"><div class="ttname"><a href="namespaceWFMath.html#a3e0619f7277d1c4a652a0d9b6e38bf0e">WFMath::InvProd</a></div><div class="ttdeci">RotMatrix< dim > InvProd(const RotMatrix< dim > &m1, const RotMatrix< dim > &m2)</div><div class="ttdoc">returns m1^-1 * m2 </div><div class="ttdef"><b>Definition:</b> rotmatrix_funcs.h:133</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a5f36291a13c039eb478cae53a0f6ffc1"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a5f36291a13c039eb478cae53a0f6ffc1">WFMath::Vector::mirror</a></div><div class="ttdeci">Vector & mirror()</div><div class="ttdoc">Reflect a vector in all directions simultaneously. </div><div class="ttdef"><b>Definition:</b> vector.h:279</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a14bf65276970d896fcfa2af11f8a2871"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a14bf65276970d896fcfa2af11f8a2871">WFMath::Vector::rotateZ</a></div><div class="ttdeci">Vector & rotateZ(CoordType theta)</div><div class="ttdoc">3D only: rotate a vector about the z axis by an angle theta </div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a8169b897f6896eba5e4378f0c883455b"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a8169b897f6896eba5e4378f0c883455b">WFMath::Vector::sloppyMag</a></div><div class="ttdeci">CoordType sloppyMag() const </div><div class="ttdoc">An approximation to the magnitude of a vector. </div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a2c873374610941a14106c501d3a21892"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a2c873374610941a14106c501d3a21892">WFMath::Vector::z</a></div><div class="ttdeci">CoordType z() const </div><div class="ttdoc">Access the third component of a vector. </div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a3d68c680b5ce33ed964dd28c2ebfb358"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a3d68c680b5ce33ed964dd28c2ebfb358">WFMath::Vector::mag</a></div><div class="ttdeci">CoordType mag() const </div><div class="ttdoc">The magnitude of a vector. </div><div class="ttdef"><b>Definition:</b> vector.h:217</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a649f2804f47456dd19073362cd9114a6"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a649f2804f47456dd19073362cd9114a6">WFMath::Vector::zero</a></div><div class="ttdeci">Vector & zero()</div><div class="ttdoc">Zero the components of a vector. </div><div class="ttdef"><b>Definition:</b> vector_funcs.h:165</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a0ecbc49abf16c71a912bdeb5b239ca14"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a0ecbc49abf16c71a912bdeb5b239ca14">WFMath::Vector::sqrMag</a></div><div class="ttdeci">CoordType sqrMag() const </div><div class="ttdoc">The squared magnitude of a vector. </div><div class="ttdef"><b>Definition:</b> vector_funcs.h:237</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a8234075fddd6bd32da1e54df5e377d02"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a8234075fddd6bd32da1e54df5e377d02">WFMath::Vector::mirrorX</a></div><div class="ttdeci">Vector & mirrorX()</div><div class="ttdoc">Flip the x component of a vector. </div><div class="ttdef"><b>Definition:</b> vector.h:326</div></div>
<div class="ttc" id="namespaceWFMath_html_a47336e0fcae85dfd45ea9d8dc28a7444"><div class="ttname"><a href="namespaceWFMath.html#a47336e0fcae85dfd45ea9d8dc28a7444">WFMath::Cross</a></div><div class="ttdeci">CoordType Cross(const Vector< 2 > &v1, const Vector< 2 > &v2)</div><div class="ttdoc">2D only: get the z component of the cross product of two vectors </div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_abeec4ab40a9b5da0e7581731d258b915"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#abeec4ab40a9b5da0e7581731d258b915">WFMath::Vector::rotate</a></div><div class="ttdeci">Vector & rotate(int axis1, int axis2, CoordType theta)</div><div class="ttdoc">Rotate the vector in the (axis1, axis2) plane by the angle theta. </div><div class="ttdef"><b>Definition:</b> vector_funcs.h:191</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a87bf279fe82aa5924c12681892a9c7db"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a87bf279fe82aa5924c12681892a9c7db">WFMath::Vector::rotateX</a></div><div class="ttdeci">Vector & rotateX(CoordType theta)</div><div class="ttdoc">3D only: rotate a vector about the x axis by an angle theta </div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a60aaa444489d9f518106dbc1357b54e3"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a60aaa444489d9f518106dbc1357b54e3">WFMath::Vector::y</a></div><div class="ttdeci">CoordType & y()</div><div class="ttdoc">Access the second component of a vector. </div><div class="ttdef"><b>Definition:</b> vector.h:319</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_af945c5cf4c5272cfa2732d779417ce0a"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#af945c5cf4c5272cfa2732d779417ce0a">WFMath::Vector::mirrorY</a></div><div class="ttdeci">Vector & mirrorY()</div><div class="ttdoc">Flip the y component of a vector. </div><div class="ttdef"><b>Definition:</b> vector.h:328</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="singletonWFMath_1_1Vector_html_a8947068eae086b53b80fe136dd10a305"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a8947068eae086b53b80fe136dd10a305">WFMath::Vector::toAtlas</a></div><div class="ttdeci">AtlasOutType toAtlas() const </div><div class="ttdoc">Create an Atlas object from the vector. </div><div class="ttdef"><b>Definition:</b> atlasconv.h:116</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a57ad2d638a835f9f12b9e650848df87a"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a57ad2d638a835f9f12b9e650848df87a">WFMath::Vector::asSpherical</a></div><div class="ttdeci">void asSpherical(CoordType &r, CoordType &theta, CoordType &phi) const </div><div class="ttdoc">3D only: convert a vector to shperical coordinates </div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_aab42534581635e85a485b301028e32f9"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#aab42534581635e85a485b301028e32f9">WFMath::Vector::operator*=</a></div><div class="ttdeci">friend Vector & operator*=(Vector &v, CoordType d)</div><div class="ttdoc">Multiply the magnitude of v by d. </div><div class="ttdef"><b>Definition:</b> vector_funcs.h:120</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a67964633ce60f71437d865f7fb537f0d"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a67964633ce60f71437d865f7fb537f0d">WFMath::Vector::ZERO</a></div><div class="ttdeci">static const Vector< dim > & ZERO()</div><div class="ttdoc">Provides a global instance preset to zero. </div><div class="ttdef"><b>Definition:</b> vector_funcs.h:62</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a1354c90de87e4244331c311cc76efe92"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a1354c90de87e4244331c311cc76efe92">WFMath::Vector::x</a></div><div class="ttdeci">CoordType & x()</div><div class="ttdoc">Access the first component of a vector. </div><div class="ttdef"><b>Definition:</b> vector.h:315</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html"><div class="ttname"><a href="singletonWFMath_1_1Vector.html">WFMath::Vector</a></div><div class="ttdoc">A dim dimensional vector. </div><div class="ttdef"><b>Definition:</b> const.h:55</div></div>
<div class="ttc" id="namespaceWFMath_html_ae265cf01c90eef4afb146a78685c3323"><div class="ttname"><a href="namespaceWFMath.html#ae265cf01c90eef4afb146a78685c3323">WFMath::operator*</a></div><div class="ttdeci">RotMatrix< dim > operator*(const RotMatrix< dim > &m1, const RotMatrix< dim > &m2)</div><div class="ttdoc">returns m1 * m2 </div><div class="ttdef"><b>Definition:</b> rotmatrix_funcs.h:223</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_aa71fb7e588906d20153e62ea1e7ca895"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#aa71fb7e588906d20153e62ea1e7ca895">WFMath::Vector::spherical</a></div><div class="ttdeci">Vector & spherical(CoordType r, CoordType theta, CoordType phi)</div><div class="ttdoc">3D only: construct a vector from shperical coordinates </div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a55fbcf68bfc07a123a3b307254cd1d19"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a55fbcf68bfc07a123a3b307254cd1d19">WFMath::Vector::asPolar</a></div><div class="ttdeci">void asPolar(CoordType &r, CoordType &theta) const </div><div class="ttdoc">2D only: convert a vector to polar coordinates </div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a677954760a1f40dfe6e529c24a223f0b"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a677954760a1f40dfe6e529c24a223f0b">WFMath::Vector::sloppyMagMaxSqrt</a></div><div class="ttdeci">static CoordType sloppyMagMaxSqrt()</div><div class="ttdoc">The square root of sloppyMagMax() </div></div>
<div class="ttc" id="namespaceWFMath_html_ac37d80d34e09f1f55f655aae7ea475a1"><div class="ttname"><a href="namespaceWFMath.html#ac37d80d34e09f1f55f655aae7ea475a1">WFMath::ProdInv</a></div><div class="ttdeci">RotMatrix< dim > ProdInv(const RotMatrix< dim > &m1, const RotMatrix< dim > &m2)</div><div class="ttdoc">returns m1 * m2^-1 </div><div class="ttdef"><b>Definition:</b> rotmatrix_funcs.h:111</div></div>
<div class="ttc" id="classWFMath_1_1Quaternion_html"><div class="ttname"><a href="classWFMath_1_1Quaternion.html">WFMath::Quaternion</a></div><div class="ttdoc">A normalized quaterion. </div><div class="ttdef"><b>Definition:</b> quaternion.h:35</div></div>
<div class="ttc" id="namespaceWFMath_html_a48ce116a2120805e20e5f1c8240a3460"><div class="ttname"><a href="namespaceWFMath.html#a48ce116a2120805e20e5f1c8240a3460">WFMath::Prod</a></div><div class="ttdeci">RotMatrix< dim > Prod(const RotMatrix< dim > &m1, const RotMatrix< dim > &m2)</div><div class="ttdoc">returns m1 * m2 </div><div class="ttdef"><b>Definition:</b> rotmatrix_funcs.h:89</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a4c95a0a7a6d9972c8f60399d239cf78f"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a4c95a0a7a6d9972c8f60399d239cf78f">WFMath::Vector::Vector</a></div><div class="ttdeci">Vector()</div><div class="ttdoc">Construct an uninitialized vector. </div><div class="ttdef"><b>Definition:</b> vector.h:125</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_afadd2b353a13d6b6a60bf27a9bf3c6bc"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#afadd2b353a13d6b6a60bf27a9bf3c6bc">WFMath::Vector::operator[]</a></div><div class="ttdeci">CoordType operator[](const int i) const </div><div class="ttdoc">Get the i'th element of the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:188</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a7c96a6927d5f86d8a32e6ef34c780d01"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a7c96a6927d5f86d8a32e6ef34c780d01">WFMath::Vector::mirrorZ</a></div><div class="ttdeci">Vector & mirrorZ()</div><div class="ttdoc">Flip the z component of a vector. </div></div>
<div class="ttc" id="namespaceWFMath_html_a7ae06f5cbff78d44bbc9178f272f7fc6"><div class="ttname"><a href="namespaceWFMath.html#a7ae06f5cbff78d44bbc9178f272f7fc6">WFMath::Parallel</a></div><div class="ttdeci">bool Parallel(const Vector< dim > &v1, const Vector< dim > &v2, bool &same_dir)</div><div class="ttdoc">Check if two vectors are parallel. </div><div class="ttdef"><b>Definition:</b> vector.h:450</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_abcc34cf449b7f17616b7cc7071b65f11"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#abcc34cf449b7f17616b7cc7071b65f11">WFMath::Vector::y</a></div><div class="ttdeci">CoordType y() const </div><div class="ttdoc">Access the second component of a vector. </div><div class="ttdef"><b>Definition:</b> vector.h:317</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_a861e95931569a2406edb0a6102e07f8d"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#a861e95931569a2406edb0a6102e07f8d">WFMath::Vector::sloppyNorm</a></div><div class="ttdeci">Vector & sloppyNorm(CoordType norm=1.0)</div><div class="ttdoc">Approximately normalize a vector. </div><div class="ttdef"><b>Definition:</b> vector_funcs.h:155</div></div>
<div class="ttc" id="singletonWFMath_1_1Vector_html_abae1d18b6cdf19ad8a4a035814013295"><div class="ttname"><a href="singletonWFMath_1_1Vector.html#abae1d18b6cdf19ad8a4a035814013295">WFMath::Vector::mirror</a></div><div class="ttdeci">Vector & mirror(const Vector &v)</div><div class="ttdoc">Reflect a vector in the direction specified by v. </div><div class="ttdef"><b>Definition:</b> vector.h:273</div></div>
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