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<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_8bde4b85f1f8cd0faa87b91375e717e4.html">vn</a></li> </ul>
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<div class="title">matrix.h</div> </div>
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<a href="matrix_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="preprocessor">#ifndef _VN_MATH_MAT_H_</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="preprocessor">#define _VN_MATH_MAT_H_</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;</div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="preprocessor">#include &lt;cassert&gt;</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;</div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="vector_8h.html">vector.h</a>&quot;</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="exceptions_8h.html">exceptions.h</a>&quot;</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;</div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacevn.html">vn</a> {</div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="keyword">namespace </span>math {</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> m, <span class="keywordtype">size_t</span> n = m, <span class="keyword">typename</span> T = <span class="keywordtype">float</span>&gt;</div>
<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html"> 20</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structvn_1_1math_1_1mat.html">mat</a></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;{</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160; <span class="comment">// Public Members /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; <span class="keyword">union</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; T e[m * n];</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; };</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <span class="comment">// Constructors ///////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;</div>
<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#ace4e476b5b5ec76788a3c84fbdaa946e"> 37</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html#ace4e476b5b5ec76788a3c84fbdaa946e">mat</a>() { }</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;</div>
<div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#a0bd3e279dee022062e9439d292a6d1ce"> 42</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="structvn_1_1math_1_1mat.html#a0bd3e279dee022062e9439d292a6d1ce">mat</a>(T val)</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; {</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; std::fill_n(e, m * n, val);</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; }</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <span class="comment">// Helper Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#a74dce7276c1bee90560e71694e4d0f32"> 54</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat.html#a74dce7276c1bee90560e71694e4d0f32">zero</a>()</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; {</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;m, n, T&gt;</a>(0);</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; }</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;</div>
<div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#aa18c2d80bfc05656b3763f0b02c590cc"> 62</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat.html#aa18c2d80bfc05656b3763f0b02c590cc">one</a>()</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; {</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;m, n, T&gt;</a>(1);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; }</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;</div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#a6c8d15a8cff92e6775e965f918389c50"> 70</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;m, m, T&gt;</a> <a class="code" href="structvn_1_1math_1_1mat.html#a6c8d15a8cff92e6775e965f918389c50">identity</a>()</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; {</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; assert(m == n);</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;m, m, T&gt;</a> nm(0);</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; m; i++)</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; nm.e[i * m + i] = 1;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; }</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="comment">// Operator Overloads /////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;</div>
<div class="line"><a name="l00091"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#a2701b4c2cb1f640dbcef3ace029e5a97"> 91</a></span>&#160; T&amp; <a class="code" href="structvn_1_1math_1_1mat.html#a2701b4c2cb1f640dbcef3ace029e5a97">operator()</a>(<span class="keywordtype">size_t</span> row, <span class="keywordtype">size_t</span> col)</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; {</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="keywordflow">return</span> <span class="keyword">const_cast&lt;</span>T&amp;<span class="keyword">&gt;</span>(<span class="keyword">static_cast&lt;</span><span class="keyword">const </span><a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp;<span class="keyword">&gt;</span>(*this)(row, col));</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; }</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;</div>
<div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#a47cb70b573e670c787b9723fdc132fd4"> 101</a></span>&#160; <span class="keyword">const</span> T&amp; <a class="code" href="structvn_1_1math_1_1mat.html#a47cb70b573e670c787b9723fdc132fd4">operator()</a>(<span class="keywordtype">size_t</span> row, <span class="keywordtype">size_t</span> col)<span class="keyword"> const</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; assert(row &lt; m &amp;&amp; col &lt; n);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="comment">//return e[col * m + row];</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <span class="keywordflow">return</span> e[col + row * m];</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; }</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160;</div>
<div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#acfc85671f26c73cc82e9caa95182c830"> 112</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat.html#acfc85671f26c73cc82e9caa95182c830">operator-</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat.html#aeda3112f2f4de7e4805dacc6adf4eea7">neg</a>();</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; }</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00122"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#a0b4b39dc59b688ced2fbf1711b70985c"> 122</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat.html#a0b4b39dc59b688ced2fbf1711b70985c">operator*=</a>(<span class="keyword">const</span> S&amp; rhs)</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; {</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; m*n; i++)</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; e[i] *= rhs;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; }</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="keyword">template</span>&lt;<span class="keywordtype">size_t</span> r, <span class="keywordtype">size_t</span> s, <span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00135"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#a9ff3a4ba3b4515aabc26805e13b2ca0a"> 135</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat.html#a9ff3a4ba3b4515aabc26805e13b2ca0a">operator*</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;r, s, S&gt;</a>&amp; rhs)</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; {</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="comment">// columns from the matrix must match rows of the input matrix</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <span class="keywordflow">if</span> (m != s)</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; {</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; }</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="keywordtype">size_t</span> row = 0;</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="keywordtype">size_t</span> col = 0;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="keywordtype">size_t</span> cell = 0;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;r, n, T&gt;</a> return_mat = <a class="code" href="structvn_1_1math_1_1mat.html#a74dce7276c1bee90560e71694e4d0f32">zero</a>();</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <span class="comment">// Remember, this matrix is stored in column order</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row_index = 0; row_index &lt; r; row_index++)</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; {</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col_index = 0; col_index &lt; n; col_index++)</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; {</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; cell = row_index + (col_index * r);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> cell_index = 0; cell_index &lt; m; cell_index++)</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; {</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; <span class="comment">// calculated for the cell in the current row</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; row = (col_index * m) + cell_index;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; <span class="comment">// calculated for the cell in the current column</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; col = (cell_index * r) + row_index;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; return_mat.e[cell] += this-&gt;e[row] * rhs.e[col];</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; }</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; }</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; }</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160;</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; <span class="keywordflow">return</span> return_mat;</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; }</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160;</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00176"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#acd2868d72d893c147adbaa2bc0fa0fd3"> 176</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat.html#acd2868d72d893c147adbaa2bc0fa0fd3">operator/=</a>(<span class="keyword">const</span> T &amp; rhs)</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; {</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; m*n; i++)</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; e[i] /= rhs;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; }</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00189"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#a5ae74f82dff41b8a94066196f83e0c01"> 189</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat.html#a5ae74f82dff41b8a94066196f83e0c01">operator+=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;m, n, S&gt;</a>&amp; rhs)</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; {</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; m*n; i++)</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; e[i] += rhs.e[i];</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160;</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; }</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160;</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00202"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#aeea4cee7cf9f2fe3e85f441834b739c6"> 202</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat.html#aeea4cee7cf9f2fe3e85f441834b739c6">operator-=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;m, n, S&gt;</a>&amp; rhs)</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; {</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; m*n; i++)</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; e[i] -= rhs.e[i];</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160;</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; }</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160;</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; <span class="comment">// Public Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;</div>
<div class="line"><a name="l00217"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#a365682f7b6a6e03fb5924d002b4dce77"> 217</a></span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="structvn_1_1math_1_1mat.html#a365682f7b6a6e03fb5924d002b4dce77">dimRow</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m; }</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;</div>
<div class="line"><a name="l00222"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#a0dea9a1cc44ddc558733ebbb0c43e031"> 222</a></span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="structvn_1_1math_1_1mat.html#a0dea9a1cc44ddc558733ebbb0c43e031">dimCol</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> n; }</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;</div>
<div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#aeda3112f2f4de7e4805dacc6adf4eea7"> 227</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat.html#aeda3112f2f4de7e4805dacc6adf4eea7">neg</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160;</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; m * n; i++)</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; nm.e[i] = -e[i];</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; }</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160;</div>
<div class="line"><a name="l00241"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#aca866a867591e32ec471bfcaf9e49679"> 241</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat.html#aca866a867591e32ec471bfcaf9e49679">mult</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; scalar)<span class="keyword"> const</span></div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160;</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; m*n; i++)</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; nm.e[i] = e[i] * scalar;</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160;</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; }</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160;</div>
<div class="line"><a name="l00255"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#ab9dbfb002fba35a1a5a1fd1e2ee624bb"> 255</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat.html#ab9dbfb002fba35a1a5a1fd1e2ee624bb">div</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; scalar)<span class="keyword"> const</span></div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160;</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; m*n; i++)</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; nm.e[i] = e[i] / scalar;</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160;</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; }</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160;</div>
<div class="line"><a name="l00269"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#aac616f62effb0b99bb03111b169982b3"> 269</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat.html#aac616f62effb0b99bb03111b169982b3">add</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; toAdd)<span class="keyword"> const</span></div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160;</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; m*n; i++)</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; nm.e[i] = e[i] + toAdd.e[i];</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160;</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; }</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160;</div>
<div class="line"><a name="l00283"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#aca75ac57b5a84a70ecf953d3a8366a57"> 283</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat.html#aca75ac57b5a84a70ecf953d3a8366a57">sub</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; toSub)<span class="keyword"> const</span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160;</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; m*n; i++)</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; nm.e[i] = e[i] - toSub.e[i];</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160;</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160; }</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160;</div>
<div class="line"><a name="l00296"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat.html#ad787d0b22c792da3964b34bc8b1ace60"> 296</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;n, m, T&gt;</a> <a class="code" href="structvn_1_1math_1_1mat.html#ad787d0b22c792da3964b34bc8b1ace60">transpose</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;n, m, T&gt;</a> nm;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160;</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row = 0; row &lt; m; row++)</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160; {</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col = 0; col &lt; n; col++)</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; {</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; nm.e[row * n + col] = e[col * m + row];</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; }</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; }</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160;</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; }</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160;</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160;};</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160;</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160;<span class="comment">// Specializations ////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160;</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160;<span class="preprocessor">#if defined(_MSC_VER)</span></div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160; </div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; <span class="comment">// Disable warning about &#39;nonstandard extension used : nameless struct/union&#39;.</span></div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160;<span class="preprocessor"> #pragma warning(disable:4201)</span></div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160;</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00324"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html"> 324</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&lt;2, 2, T&gt;</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160;{</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160;</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; <span class="comment">// Public Members /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160;</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160;</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; <span class="keyword">union</span></div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160; {</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; <span class="keyword">struct</span></div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; {</div>
<div class="line"><a name="l00336"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#af6dceaaba285776624f5cbfadbcefff4"> 336</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#af6dceaaba285776624f5cbfadbcefff4">e00</a>;</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160;</div>
<div class="line"><a name="l00339"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a9db65ce957cb8ea1edbe674ab90f6402"> 339</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a9db65ce957cb8ea1edbe674ab90f6402">e10</a>;</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160;</div>
<div class="line"><a name="l00342"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a580240bf4dc9278e0126dd7e615908be"> 342</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a580240bf4dc9278e0126dd7e615908be">e01</a>;</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160;</div>
<div class="line"><a name="l00345"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a6b9ac91a9e150f5f947367216e17d0d3"> 345</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a6b9ac91a9e150f5f947367216e17d0d3">e11</a>;</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160; };</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160;</div>
<div class="line"><a name="l00349"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#ad54a7a0522f87c6a3d1f55ae278b1992"> 349</a></span>&#160; T e[2 * 2];</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160; };</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160;</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160; <span class="comment">// Constructors ///////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160;</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160;</div>
<div class="line"><a name="l00357"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#ac0562d55e4863a6a4b17c857c7be9b8a"> 357</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#ac0562d55e4863a6a4b17c857c7be9b8a">mat</a>() { }</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160;</div>
<div class="line"><a name="l00362"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#af0b00078586a1afddaa434b7b8080f4d"> 362</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#af0b00078586a1afddaa434b7b8080f4d">mat</a>(T val) :</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160; e00(val), e10(val),</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160; e01(val), e11(val)</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160; { }</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160;</div>
<div class="line"><a name="l00374"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#abcbc1cbe4ec1ad16029d97efd0b18c3a"> 374</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#abcbc1cbe4ec1ad16029d97efd0b18c3a">mat</a>(T e00v, T e01v,</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160; T e10v, T e11v) :</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160; e00(e00v), e10(e10v),</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160; e01(e01v), e11(e11v)</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160; { }</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160;</div>
<div class="line"><a name="l00386"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#adb348a0368e6c771291383b46a1a393b"> 386</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#adb348a0368e6c771291383b46a1a393b">mat</a>(<a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html">vec&lt;2, T&gt;</a> col0, <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html">vec&lt;2, T&gt;</a> col1) :</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160; e00(col0.x), e10(col1.x),</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160; e01(col0.y), e11(col1.y)</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160; {}</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160; </div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160; <span class="comment">// Helper Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160;</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160;</div>
<div class="line"><a name="l00398"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a88ea1a78d9cbf9cf745f834ef37c67c7"> 398</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a88ea1a78d9cbf9cf745f834ef37c67c7">zero</a>()</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160; {</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html">mat&lt;2, 2, T&gt;</a>(0);</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160; }</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160;</div>
<div class="line"><a name="l00406"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#accfffcc256bcd3ce64f0b199891b05e3"> 406</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#accfffcc256bcd3ce64f0b199891b05e3">one</a>()</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160; {</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html">mat&lt;2, 2, T&gt;</a>(1);</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160; }</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160;</div>
<div class="line"><a name="l00414"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a0c9ddd45ee6d6a338c956bca84ccaa17"> 414</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html">mat&lt;2, 2, T&gt;</a> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a0c9ddd45ee6d6a338c956bca84ccaa17">identity</a>()</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160; {</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html">mat&lt;2, 2, T&gt;</a>(</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160; 1, 0,</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160; 0, 1);</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160; }</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160;</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160; <span class="comment">// Operator Overloads /////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160;</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>&#160;</div>
<div class="line"><a name="l00430"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#adfd7bcc6ea2490f35bd79c81ace64d98"> 430</a></span>&#160; T&amp; <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#adfd7bcc6ea2490f35bd79c81ace64d98">operator()</a>(<span class="keywordtype">size_t</span> row, <span class="keywordtype">size_t</span> col)</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160; {</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160; <span class="keywordflow">return</span> <span class="keyword">const_cast&lt;</span>T&amp;<span class="keyword">&gt;</span>(<span class="keyword">static_cast&lt;</span><span class="keyword">const </span><a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp;<span class="keyword">&gt;</span>(*this)(row, col));</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160; }</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160;</div>
<div class="line"><a name="l00440"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a600c7409b7f66046d60b9d2af47e09cb"> 440</a></span>&#160; <span class="keyword">const</span> T&amp; <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a600c7409b7f66046d60b9d2af47e09cb">operator()</a>(<span class="keywordtype">size_t</span> row, <span class="keywordtype">size_t</span> col)<span class="keyword"> const</span></div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160; assert(row &lt; 2 &amp;&amp; col &lt; 2);</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160;</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160; <span class="keywordflow">return</span> e[col * 2 + row];</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160; }</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160;</div>
<div class="line"><a name="l00450"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a30da6e7e7a11d6c879372187063a5f7d"> 450</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a30da6e7e7a11d6c879372187063a5f7d">operator-</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat.html#aeda3112f2f4de7e4805dacc6adf4eea7">neg</a>();</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160; }</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160;</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00460"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a1e1cc1d8916d7972ed60ddfcb9863c56"> 460</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a1e1cc1d8916d7972ed60ddfcb9863c56">operator*=</a>(<span class="keyword">const</span> S&amp; rhs)</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160; {</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160;<span class="preprocessor"> #if defined(_MSC_VER)</span></div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160;</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160; <span class="comment">// The operator*= throws a warning when a mat*f is multiplied by a mat*d.</span></div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>&#160;<span class="preprocessor"> #pragma warning(disable:4244)</span></div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160;</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 2 * 2; i++)</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160; e[i] *= rhs;</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160;</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160;<span class="preprocessor"> #if defined (_MSC_VER)</span></div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160;</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160; }</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160;</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00484"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a238c7a4cb099d3b46218506bb25c746b"> 484</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a238c7a4cb099d3b46218506bb25c746b">operator*=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;2, 2, S&gt;</a>&amp; rhs)</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160; {</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160; <span class="keywordtype">size_t</span> row = 0;</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160; <span class="keywordtype">size_t</span> col = 0;</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160; <span class="keywordtype">size_t</span> cell = 0;</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160;</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html">mat&lt;2, 2, T&gt;</a> return_mat = <a class="code" href="structvn_1_1math_1_1mat.html#a74dce7276c1bee90560e71694e4d0f32">zero</a>();</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160;</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160; <span class="comment">// Remember, this matrix is stored in column order</span></div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row_index = 0; row_index &lt; 2; row_index++)</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160; {</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col_index = 0; col_index &lt; 2; col_index++)</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160; {</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160; cell = row_index + (col_index * 2);</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>&#160;</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> cell_index = 0; cell_index &lt; 2; cell_index++)</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>&#160; {</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160; <span class="comment">// calculated for the cell in the current row</span></div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>&#160; row = row_index + (cell_index * 2);</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>&#160; <span class="comment">// calculated for the cell in the current column</span></div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>&#160; col = cell_index + (col_index * 2);</div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160;</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>&#160; return_mat.<a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#ad54a7a0522f87c6a3d1f55ae278b1992">e</a>[cell] += this-&gt;e[row] * rhs.e[col];</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>&#160; }</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>&#160; }</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>&#160; }</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>&#160;</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>&#160; *<span class="keyword">this</span> = return_mat;</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160;</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>&#160; }</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160;</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00521"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a51a68307a3790c3b14670e65f665b3fe"> 521</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a51a68307a3790c3b14670e65f665b3fe">operator/=</a>(<span class="keyword">const</span> S&amp; rhs)</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160; {</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160;<span class="preprocessor"> #if defined(_MSC_VER)</span></div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160;</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160; <span class="comment">// The operator/= throws a warning when a mat*f is divided by a double.</span></div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160;<span class="preprocessor"> #pragma warning(disable:4244)</span></div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160;</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 2 * 2; i++)</div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>&#160; e[i] /= rhs;</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>&#160;</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160;<span class="preprocessor"> #if defined (_MSC_VER)</span></div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160;</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>&#160; }</div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>&#160;</div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00545"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#abaa88f25a934422da622d02b6ef3924b"> 545</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#abaa88f25a934422da622d02b6ef3924b">operator+=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;2, 2, S&gt;</a>&amp; rhs)</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160; {</div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 2 * 2; i++)</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160; e[i] += rhs.e[i];</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160;</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160; }</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160;</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00558"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#aec1325cf85807d0ba29dd4bd036c565c"> 558</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#aec1325cf85807d0ba29dd4bd036c565c">operator-=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;2, 2, S&gt;</a>&amp; rhs)</div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>&#160; {</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 2 * 2; i++)</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>&#160; e[i] -= rhs.e[i];</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>&#160;</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160; }</div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>&#160;</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>&#160; <span class="comment">// Public Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160;</div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>&#160;</div>
<div class="line"><a name="l00573"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a2122e7fda13dca226674668374d766e0"> 573</a></span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a2122e7fda13dca226674668374d766e0">dimRow</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> 2; }</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160;</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160;</div>
<div class="line"><a name="l00579"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a6eba975e004366ee55e6aef182a27b84"> 579</a></span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a6eba975e004366ee55e6aef182a27b84">dimCol</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> 2; }</div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160;</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160; <span class="keywordtype">void</span> copy(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;2, 2, S&gt;</a> rhs)</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160; {</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160; *<span class="keyword">this</span> = rhs;</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160; }</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160;</div>
<div class="line"><a name="l00590"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a8c01a0feb3fa0e3e3b8ee2cb79ff472f"> 590</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a8c01a0feb3fa0e3e3b8ee2cb79ff472f">neg</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>&#160;</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 2 * 2; i++)</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160; nm.e[i] = -e[i];</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160;</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160; }</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160;</div>
<div class="line"><a name="l00604"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#ad9e4d2a5b5b80c49086451728133fc66"> 604</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#ad9e4d2a5b5b80c49086451728133fc66">mult</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; scalar)<span class="keyword"> const</span></div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160;</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 2 * 2; i++)</div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>&#160; nm.e[i] = e[i] * scalar;</div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>&#160;</div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>&#160; }</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>&#160;</div>
<div class="line"><a name="l00618"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#ac55afe3e42206bd540d321d1969978ce"> 618</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#ac55afe3e42206bd540d321d1969978ce">div</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; scalar)<span class="keyword"> const</span></div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>&#160;</div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 2 * 2; i++)</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>&#160; nm.e[i] = e[i] / scalar;</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>&#160;</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>&#160; }</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>&#160;</div>
<div class="line"><a name="l00632"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a5a5bafa870ed4f1186a74b5bcefedc91"> 632</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a5a5bafa870ed4f1186a74b5bcefedc91">add</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; toAdd)<span class="keyword"> const</span></div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160;</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 2 * 2; i++)</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>&#160; nm.e[i] = e[i] + toAdd.e[i];</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>&#160;</div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>&#160; }</div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>&#160;</div>
<div class="line"><a name="l00646"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#aacd1c82db2ef9ef33072e6c4c4cfeb10"> 646</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#aacd1c82db2ef9ef33072e6c4c4cfeb10">sub</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; toSub)<span class="keyword"> const</span></div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>&#160;</div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 2 * 2; i++)</div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>&#160; nm.e[i] = e[i] - toSub.e[i];</div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>&#160;</div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>&#160; }</div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>&#160;</div>
<div class="line"><a name="l00659"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#aa267fd658e0a7896fa621046e165035c"> 659</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html">mat&lt;2, 2, T&gt;</a> <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#aa267fd658e0a7896fa621046e165035c">transpose</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html">mat&lt;2, 2, T&gt;</a> nm;</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>&#160;</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row = 0; row &lt; 2; row++)</div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>&#160; {</div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col = 0; col &lt; 2; col++)</div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>&#160; {</div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>&#160; nm.<a class="code" href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#ad54a7a0522f87c6a3d1f55ae278b1992">e</a>[row * 2 + col] = e[col * 2 + row];</div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>&#160; }</div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>&#160; }</div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>&#160;</div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>&#160; }</div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>&#160;};</div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>&#160;</div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00678"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html"> 678</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&lt;3, 3, T&gt;</div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>&#160;{</div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>&#160;</div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>&#160; <span class="comment">// Public Members /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>&#160;</div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>&#160;</div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>&#160; <span class="keyword">union</span></div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>&#160; {</div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>&#160; <span class="keyword">struct</span></div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>&#160; {</div>
<div class="line"><a name="l00690"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a4d8e840419b20e3d00dd1154270daffa"> 690</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a4d8e840419b20e3d00dd1154270daffa">e00</a>;</div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>&#160;</div>
<div class="line"><a name="l00693"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ab28235e91cf0cf0dccf04ce5def3368f"> 693</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ab28235e91cf0cf0dccf04ce5def3368f">e10</a>;</div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>&#160;</div>
<div class="line"><a name="l00696"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a12be75288cc3d03cb0bec0af3bf75991"> 696</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a12be75288cc3d03cb0bec0af3bf75991">e20</a>;</div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>&#160;</div>
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<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>&#160;</div>
<div class="line"><a name="l00702"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#aad305b58e9764905ea2bd6a240a2ed29"> 702</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#aad305b58e9764905ea2bd6a240a2ed29">e11</a>;</div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>&#160;</div>
<div class="line"><a name="l00705"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ad22795e2e7a1d6823a8cbc68a8648374"> 705</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ad22795e2e7a1d6823a8cbc68a8648374">e21</a>;</div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>&#160;</div>
<div class="line"><a name="l00708"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ab96b305b2003774fe8fcde670da3635d"> 708</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ab96b305b2003774fe8fcde670da3635d">e02</a>;</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>&#160;</div>
<div class="line"><a name="l00711"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a9918d9e59a6bd4735f9901f12fc64068"> 711</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a9918d9e59a6bd4735f9901f12fc64068">e12</a>;</div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>&#160;</div>
<div class="line"><a name="l00714"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ab9a33b220af3559e695f56aa68b9bd12"> 714</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ab9a33b220af3559e695f56aa68b9bd12">e22</a>;</div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>&#160; };</div>
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>&#160;</div>
<div class="line"><a name="l00718"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a9ea742508e579446ef6aa7e2b36fb108"> 718</a></span>&#160; T e[3 * 3];</div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>&#160; };</div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>&#160;</div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>&#160; <span class="comment">// Constructors ///////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>&#160;</div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>&#160;</div>
<div class="line"><a name="l00726"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ace356b1308ae2d5bc233227359ac67db"> 726</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ace356b1308ae2d5bc233227359ac67db">mat</a>() { }</div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>&#160;</div>
<div class="line"><a name="l00731"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a4fe2d018e4c014b5182e833d7af50cc3"> 731</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a4fe2d018e4c014b5182e833d7af50cc3">mat</a>(T val) :</div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>&#160; e00(val), e10(val), e20(val),</div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>&#160; e01(val), e11(val), e21(val),</div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>&#160; e02(val), e12(val), e22(val)</div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>&#160; { }</div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>&#160;</div>
<div class="line"><a name="l00749"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a3205d5e846b0766eafe2d441d8d497c1"> 749</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a3205d5e846b0766eafe2d441d8d497c1">mat</a>(T e00v, T e01v, T e02v,</div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span>&#160; T e10v, T e11v, T e12v,</div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>&#160; T e20v, T e21v, T e22v) :</div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>&#160; e00(e00v), e10(e10v), e20(e20v),</div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>&#160; e01(e01v), e11(e11v), e21(e21v),</div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>&#160; e02(e02v), e12(e12v), e22(e22v)</div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>&#160;</div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>&#160; { }</div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>&#160;</div>
<div class="line"><a name="l00763"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a0ab9c26cc91b4060d278203893ce1d3c"> 763</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a0ab9c26cc91b4060d278203893ce1d3c">mat</a>(<a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vec&lt;3, T&gt;</a> col0, <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vec&lt;3, T&gt;</a> col1, <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vec&lt;3, T&gt;</a> col2) :</div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>&#160; e00(col0.x), e10(col0.y), e20(col0.z),</div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>&#160; e01(col1.x), e11(col1.y), e21(col1.z),</div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>&#160; e02(col2.x), e12(col2.y), e22(col2.z)</div>
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>&#160; {</div>
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span>&#160;</div>
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>&#160; }</div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>&#160;</div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>&#160; <span class="comment">// Helper Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>&#160;</div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>&#160;</div>
<div class="line"><a name="l00778"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a69e7e6acf94926bea46e564d7d27f5a3"> 778</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a69e7e6acf94926bea46e564d7d27f5a3">zero</a>()</div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>&#160; {</div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html">mat&lt;3, 3, T&gt;</a>(0);</div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>&#160; }</div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>&#160;</div>
<div class="line"><a name="l00786"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a3a793563cec513ce57addfa992531497"> 786</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a3a793563cec513ce57addfa992531497">one</a>()</div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>&#160; {</div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html">mat&lt;3, 3, T&gt;</a>(1);</div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>&#160; }</div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>&#160;</div>
<div class="line"><a name="l00794"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a288e0d0072597cbae849e96fcddde64d"> 794</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html">mat&lt;3, 3, T&gt;</a> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a288e0d0072597cbae849e96fcddde64d">identity</a>()</div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>&#160; {</div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html">mat&lt;3, 3, T&gt;</a>(</div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>&#160; 1, 0, 0,</div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>&#160; 0, 1, 0,</div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>&#160; 0, 0, 1);</div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>&#160; }</div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>&#160;</div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>&#160; <span class="comment">// Operator Overloads /////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>&#160;</div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>&#160;</div>
<div class="line"><a name="l00811"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a64dc3485bba2b09725aa516c0285e01e"> 811</a></span>&#160; T&amp; <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a64dc3485bba2b09725aa516c0285e01e">operator()</a>(<span class="keywordtype">size_t</span> row, <span class="keywordtype">size_t</span> col)</div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>&#160; {</div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>&#160; <span class="keywordflow">return</span> <span class="keyword">const_cast&lt;</span>T&amp;<span class="keyword">&gt;</span>(<span class="keyword">static_cast&lt;</span><span class="keyword">const </span><a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp;<span class="keyword">&gt;</span>(*this)(row, col));</div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>&#160; }</div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>&#160;</div>
<div class="line"><a name="l00821"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#abfbe554859e04acd848a813ac3096f60"> 821</a></span>&#160; <span class="keyword">const</span> T&amp; <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#abfbe554859e04acd848a813ac3096f60">operator()</a>(<span class="keywordtype">size_t</span> row, <span class="keywordtype">size_t</span> col)<span class="keyword"> const</span></div>
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>&#160; assert(row &lt; 3 &amp;&amp; col &lt; 3);</div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>&#160;</div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>&#160; <span class="keywordflow">return</span> e[col * 3 + row];</div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>&#160; }</div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span>&#160;</div>
<div class="line"><a name="l00831"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a7b05dcf3732a2451ee506a755eb31433"> 831</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a7b05dcf3732a2451ee506a755eb31433">operator-</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat.html#aeda3112f2f4de7e4805dacc6adf4eea7">neg</a>();</div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>&#160; }</div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>&#160;</div>
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00841"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#af8d5d30db8cc1b0c71980dade4d35903"> 841</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#af8d5d30db8cc1b0c71980dade4d35903">operator*=</a>(<span class="keyword">const</span> S&amp; rhs)</div>
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>&#160; {</div>
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span>&#160;<span class="preprocessor"> #if defined(_MSC_VER)</span></div>
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>&#160;</div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>&#160; <span class="comment">// The operator*= throws a warning when a mat*f is multiplied by a mat*d.</span></div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>&#160;<span class="preprocessor"> #pragma warning(disable:4244)</span></div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>&#160;</div>
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 3 * 3; i++)</div>
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>&#160; e[i] *= rhs;</div>
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span>&#160;</div>
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span>&#160;<span class="preprocessor"> #if defined (_MSC_VER)</span></div>
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>&#160;</div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>&#160; }</div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>&#160;</div>
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00865"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a890a3f29039b37e519b37e7574b7c0af"> 865</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a890a3f29039b37e519b37e7574b7c0af">operator*=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;3, 3, S&gt;</a>&amp; rhs)</div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>&#160; {</div>
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span>&#160; <span class="keywordtype">size_t</span> counter = 0;</div>
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>&#160; <span class="keywordtype">size_t</span> row = 0;</div>
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span>&#160; <span class="keywordtype">size_t</span> col = 0;</div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>&#160; <span class="keywordtype">size_t</span> cell = 0;</div>
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html">mat&lt;3, 3, T&gt;</a> return_mat = <a class="code" href="structvn_1_1math_1_1mat.html#a74dce7276c1bee90560e71694e4d0f32">zero</a>();</div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>&#160;</div>
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>&#160; <span class="comment">// Remember, this matrix is stored in column order</span></div>
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>&#160; <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> row_index = 0; row_index &lt; 3; row_index++)</div>
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>&#160; {</div>
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span>&#160; <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> col_index = 0; col_index &lt; 3; col_index++)</div>
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>&#160; {</div>
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>&#160; cell = row_index + (col_index * 3);</div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>&#160;</div>
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> cell_index = 0; cell_index &lt; 3; cell_index++)</div>
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>&#160; {</div>
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>&#160; <span class="comment">// calculated for the cell in the current row</span></div>
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span>&#160; row = row_index + (cell_index * 3);</div>
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span>&#160; <span class="comment">// calculated for the cell in the current column</span></div>
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span>&#160; col = cell_index + (col_index * 3);</div>
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span>&#160;</div>
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span>&#160; return_mat.<a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a9ea742508e579446ef6aa7e2b36fb108">e</a>[cell] += this-&gt;e[row] * rhs.e[col];</div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>&#160; }</div>
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>&#160; }</div>
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>&#160; }</div>
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>&#160;</div>
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>&#160; <span class="comment">// std::copy(return_mat.e[0], return_mat.e[8], this-&gt;e[0]);</span></div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>&#160; <span class="comment">// std::copy(return_mat.e, return_mat.e + 7, this-&gt;e);</span></div>
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>&#160; *<span class="keyword">this</span> = return_mat;</div>
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>&#160;</div>
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>&#160; }</div>
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>&#160;</div>
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00904"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a664778722219d1db15cb3ee3a47be615"> 904</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a664778722219d1db15cb3ee3a47be615">operator/=</a>(<span class="keyword">const</span> S &amp; rhs)</div>
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span>&#160; {</div>
<div class="line"><a name="l00906"></a><span class="lineno"> 906</span>&#160;<span class="preprocessor"> #if defined(_MSC_VER)</span></div>
<div class="line"><a name="l00907"></a><span class="lineno"> 907</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span>&#160;</div>
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span>&#160; <span class="comment">// The operator/= throws a warning when a mat*f is divided by a double.</span></div>
<div class="line"><a name="l00910"></a><span class="lineno"> 910</span>&#160;<span class="preprocessor"> #pragma warning(disable:4244)</span></div>
<div class="line"><a name="l00911"></a><span class="lineno"> 911</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span>&#160;</div>
<div class="line"><a name="l00913"></a><span class="lineno"> 913</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 3 * 3; i++)</div>
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span>&#160; e[i] /= rhs;</div>
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span>&#160;</div>
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span>&#160;<span class="preprocessor"> #if defined (_MSC_VER)</span></div>
<div class="line"><a name="l00917"></a><span class="lineno"> 917</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00919"></a><span class="lineno"> 919</span>&#160;</div>
<div class="line"><a name="l00920"></a><span class="lineno"> 920</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span>&#160; }</div>
<div class="line"><a name="l00922"></a><span class="lineno"> 922</span>&#160;</div>
<div class="line"><a name="l00927"></a><span class="lineno"> 927</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00928"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a519a2cbc59ab9ea1212e4f73122a3ed7"> 928</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a519a2cbc59ab9ea1212e4f73122a3ed7">operator+=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;3, 3, S&gt;</a>&amp; rhs)</div>
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span>&#160; {</div>
<div class="line"><a name="l00930"></a><span class="lineno"> 930</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 3 * 3; i++)</div>
<div class="line"><a name="l00931"></a><span class="lineno"> 931</span>&#160; e[i] += rhs.e[i];</div>
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span>&#160;</div>
<div class="line"><a name="l00933"></a><span class="lineno"> 933</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00934"></a><span class="lineno"> 934</span>&#160; }</div>
<div class="line"><a name="l00935"></a><span class="lineno"> 935</span>&#160;</div>
<div class="line"><a name="l00940"></a><span class="lineno"> 940</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00941"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a6b5121ced8f57790467149a338fcd209"> 941</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a6b5121ced8f57790467149a338fcd209">operator-=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;3, 3, S&gt;</a>&amp; rhs)</div>
<div class="line"><a name="l00942"></a><span class="lineno"> 942</span>&#160; {</div>
<div class="line"><a name="l00943"></a><span class="lineno"> 943</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 3 * 3; i++)</div>
<div class="line"><a name="l00944"></a><span class="lineno"> 944</span>&#160; e[i] -= rhs.e[i];</div>
<div class="line"><a name="l00945"></a><span class="lineno"> 945</span>&#160;</div>
<div class="line"><a name="l00946"></a><span class="lineno"> 946</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00947"></a><span class="lineno"> 947</span>&#160; }</div>
<div class="line"><a name="l00948"></a><span class="lineno"> 948</span>&#160;</div>
<div class="line"><a name="l00949"></a><span class="lineno"> 949</span>&#160; <span class="comment">// Public Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span>&#160;</div>
<div class="line"><a name="l00951"></a><span class="lineno"> 951</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00952"></a><span class="lineno"> 952</span>&#160;</div>
<div class="line"><a name="l00956"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a7b699d5e050d1e14f6347271681fe1a1"> 956</a></span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a7b699d5e050d1e14f6347271681fe1a1">dimRow</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> 3; }</div>
<div class="line"><a name="l00957"></a><span class="lineno"> 957</span>&#160;</div>
<div class="line"><a name="l00961"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a06df685517471d112eed7411cce6ce70"> 961</a></span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a06df685517471d112eed7411cce6ce70">dimCol</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> 3; }</div>
<div class="line"><a name="l00962"></a><span class="lineno"> 962</span>&#160; <span class="keywordtype">size_t</span> dimCols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> 3; }</div>
<div class="line"><a name="l00963"></a><span class="lineno"> 963</span>&#160;</div>
<div class="line"><a name="l00964"></a><span class="lineno"> 964</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l00965"></a><span class="lineno"> 965</span>&#160; <span class="keywordtype">void</span> copy(<span class="keyword">const</span> mat&lt;3, 3, S&gt;&amp; rhs)</div>
<div class="line"><a name="l00966"></a><span class="lineno"> 966</span>&#160; {</div>
<div class="line"><a name="l00967"></a><span class="lineno"> 967</span>&#160; *<span class="keyword">this</span> = rhs;</div>
<div class="line"><a name="l00968"></a><span class="lineno"> 968</span>&#160; }</div>
<div class="line"><a name="l00969"></a><span class="lineno"> 969</span>&#160;</div>
<div class="line"><a name="l00973"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#aea74fd3b5b1a18fae476db4a8f9da44b"> 973</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#aea74fd3b5b1a18fae476db4a8f9da44b">neg</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00974"></a><span class="lineno"> 974</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00975"></a><span class="lineno"> 975</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l00976"></a><span class="lineno"> 976</span>&#160;</div>
<div class="line"><a name="l00977"></a><span class="lineno"> 977</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 3 * 3; i++)</div>
<div class="line"><a name="l00978"></a><span class="lineno"> 978</span>&#160; nm.e[i] = -e[i];</div>
<div class="line"><a name="l00979"></a><span class="lineno"> 979</span>&#160;</div>
<div class="line"><a name="l00980"></a><span class="lineno"> 980</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00981"></a><span class="lineno"> 981</span>&#160; }</div>
<div class="line"><a name="l00982"></a><span class="lineno"> 982</span>&#160;</div>
<div class="line"><a name="l00987"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a81db3dd28b990f79d59c3f1b7c053d64"> 987</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a81db3dd28b990f79d59c3f1b7c053d64">mult</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; scalar)<span class="keyword"> const</span></div>
<div class="line"><a name="l00988"></a><span class="lineno"> 988</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00989"></a><span class="lineno"> 989</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l00990"></a><span class="lineno"> 990</span>&#160;</div>
<div class="line"><a name="l00991"></a><span class="lineno"> 991</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 3 * 3; i++)</div>
<div class="line"><a name="l00992"></a><span class="lineno"> 992</span>&#160; nm.e[i] = e[i] * scalar;</div>
<div class="line"><a name="l00993"></a><span class="lineno"> 993</span>&#160;</div>
<div class="line"><a name="l00994"></a><span class="lineno"> 994</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l00995"></a><span class="lineno"> 995</span>&#160; }</div>
<div class="line"><a name="l00996"></a><span class="lineno"> 996</span>&#160;</div>
<div class="line"><a name="l01001"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a41de85483d8af031efadf7dcdf5522a9"> 1001</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a41de85483d8af031efadf7dcdf5522a9">div</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; scalar)<span class="keyword"> const</span></div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;</div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 3 * 3; i++)</div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160; nm.e[i] = e[i] / scalar;</div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;</div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160; }</div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;</div>
<div class="line"><a name="l01015"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a125b6001cb3652138c28c52e34ea1a87"> 1015</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a125b6001cb3652138c28c52e34ea1a87">add</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; toAdd)<span class="keyword"> const</span></div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;</div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 3 * 3; i++)</div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160; nm.e[i] = e[i] + toAdd.e[i];</div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;</div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160; }</div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;</div>
<div class="line"><a name="l01029"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ab473a41d83beb1ca47845f4411ddc894"> 1029</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ab473a41d83beb1ca47845f4411ddc894">sub</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; toSub)<span class="keyword"> const</span></div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;</div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 3 * 3; i++)</div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160; nm.e[i] = e[i] - toSub.e[i];</div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;</div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160; }</div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160;</div>
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<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160; }</div>
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<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;</div>
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<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160;</div>
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<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160;</div>
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<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160;</div>
<div class="line"><a name="l01075"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a7b1db4664290416a84e27cb719218fc9"> 1075</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a7b1db4664290416a84e27cb719218fc9">e10</a>;</div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160;</div>
<div class="line"><a name="l01078"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a160d158b35c685d268de323b34af8a08"> 1078</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a160d158b35c685d268de323b34af8a08">e20</a>;</div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160;</div>
<div class="line"><a name="l01081"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a97667a91201f3c607fa4de8e80230271"> 1081</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a97667a91201f3c607fa4de8e80230271">e30</a>;</div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;</div>
<div class="line"><a name="l01084"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a59f661e584cbb08a21e1351c5b6f5d4b"> 1084</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a59f661e584cbb08a21e1351c5b6f5d4b">e01</a>;</div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160;</div>
<div class="line"><a name="l01087"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ae4aa323bcff0449c0a4b1090241b1bb6"> 1087</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ae4aa323bcff0449c0a4b1090241b1bb6">e11</a>;</div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160;</div>
<div class="line"><a name="l01090"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#afb14f3919549c928c784e5c0252c97d0"> 1090</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#afb14f3919549c928c784e5c0252c97d0">e21</a>;</div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160;</div>
<div class="line"><a name="l01093"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#aea16b0c50572da519bfeebfcf0a84040"> 1093</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#aea16b0c50572da519bfeebfcf0a84040">e31</a>;</div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;</div>
<div class="line"><a name="l01096"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a18ce7bbd2ff90a4ab684ecfee1472cfb"> 1096</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a18ce7bbd2ff90a4ab684ecfee1472cfb">e02</a>;</div>
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160;</div>
<div class="line"><a name="l01099"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a81c08f9a7e099a0006ebeab977301d71"> 1099</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a81c08f9a7e099a0006ebeab977301d71">e12</a>;</div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160;</div>
<div class="line"><a name="l01102"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#addb7a994636c49eb653ec7b18b74d36f"> 1102</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#addb7a994636c49eb653ec7b18b74d36f">e22</a>;</div>
<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>&#160;</div>
<div class="line"><a name="l01105"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ab75edfa8fd23a377175b94bfab29bb2d"> 1105</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ab75edfa8fd23a377175b94bfab29bb2d">e32</a>;</div>
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160;</div>
<div class="line"><a name="l01108"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a47cedd8429e5bfb37929dd429f2adcde"> 1108</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a47cedd8429e5bfb37929dd429f2adcde">e03</a>;</div>
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160;</div>
<div class="line"><a name="l01111"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a3b6f6c676f671f071219914009f2111a"> 1111</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a3b6f6c676f671f071219914009f2111a">e13</a>;</div>
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160;</div>
<div class="line"><a name="l01114"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a494f025d33e99620b2aa4d98b82631a9"> 1114</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a494f025d33e99620b2aa4d98b82631a9">e23</a>;</div>
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160;</div>
<div class="line"><a name="l01117"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a5010c656df1dca4e23acd5f6466d3f09"> 1117</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a5010c656df1dca4e23acd5f6466d3f09">e33</a>;</div>
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160; };</div>
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160;</div>
<div class="line"><a name="l01121"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a585eab3db396c82847cadf1d028fddda"> 1121</a></span>&#160; T e[4*4];</div>
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160; };</div>
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160;</div>
<div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160; <span class="comment">// Constructors ///////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160;</div>
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160;</div>
<div class="line"><a name="l01129"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ab73f8c96769df1ec98423229f4a93787"> 1129</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ab73f8c96769df1ec98423229f4a93787">mat</a>() { }</div>
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160;</div>
<div class="line"><a name="l01134"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ad1b2ab2c2617f19eb54e3e24ddc7c7c9"> 1134</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ad1b2ab2c2617f19eb54e3e24ddc7c7c9">mat</a>(T val) :</div>
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160; e00(val), e01(val), e02(val), e03(val),</div>
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160; e10(val), e11(val), e12(val), e13(val),</div>
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160; e20(val), e21(val), e22(val), e23(val),</div>
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160; e30(val), e31(val), e32(val), e33(val)</div>
<div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160; { }</div>
<div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160;</div>
<div class="line"><a name="l01160"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a0fc97b2274117456daf455fd0b938224"> 1160</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a0fc97b2274117456daf455fd0b938224">mat</a>(T e00v, T e01v, T e02v, T e03v,</div>
<div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>&#160; T e10v, T e11v, T e12v, T e13v,</div>
<div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>&#160; T e20v, T e21v, T e22v, T e23v,</div>
<div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>&#160; T e30v, T e31v, T e32v, T e33v) :</div>
<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160; e00(e00v), e01(e01v), e02(e02v), e03(e03v),</div>
<div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160; e10(e10v), e11(e11v), e12(e12v), e13(e13v),</div>
<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160; e20(e20v), e21(e21v), e22(e22v), e23(e23v),</div>
<div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>&#160; e30(e30v), e31(e31v), e32(e32v), e33(e33v)</div>
<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>&#160; { }</div>
<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>&#160;</div>
<div class="line"><a name="l01176"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a35757345f277a55545b78b6594564a95"> 1176</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a35757345f277a55545b78b6594564a95">mat</a>(<a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html">vec&lt;4, T&gt;</a> col0, <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html">vec&lt;4, T&gt;</a> col1, <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html">vec&lt;4, T&gt;</a> col2, <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html">vec&lt;4, T&gt;</a> col3) :</div>
<div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>&#160; e00(col0.x), e10(col1.x), e20(col2.x), e30(col3.x),</div>
<div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>&#160; e01(col0.y), e11(col1.y), e21(col2.y), e31(col3.y),</div>
<div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>&#160; e02(col0.z), e12(col1.z), e22(col2.z), e32(col3.z),</div>
<div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>&#160; e03(col0.w), e13(col1.w), e23(col2.w), e33(col3.w)</div>
<div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>&#160; {</div>
<div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>&#160;</div>
<div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>&#160; }</div>
<div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>&#160;</div>
<div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>&#160; <span class="comment">// Helper Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>&#160;</div>
<div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>&#160;</div>
<div class="line"><a name="l01192"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a8d02aa67a794f284e779e41b9524aa77"> 1192</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a8d02aa67a794f284e779e41b9524aa77">zero</a>()</div>
<div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>&#160; {</div>
<div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html">mat&lt;4, 4, T&gt;</a>(0);</div>
<div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>&#160; }</div>
<div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>&#160;</div>
<div class="line"><a name="l01200"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a3ac4489ea429fd900d61cfb8fb968688"> 1200</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a3ac4489ea429fd900d61cfb8fb968688">one</a>()</div>
<div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>&#160; {</div>
<div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html">mat&lt;4, 4, T&gt;</a>(1);</div>
<div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>&#160; }</div>
<div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>&#160;</div>
<div class="line"><a name="l01208"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#afc8a881efb961d2e880541e344596402"> 1208</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html">mat&lt;4, 4, T&gt;</a> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#afc8a881efb961d2e880541e344596402">identity</a>()</div>
<div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>&#160; {</div>
<div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html">mat&lt;4, 4, T&gt;</a>(1, 0, 0, 0,</div>
<div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>&#160; 0, 1, 0, 0,</div>
<div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>&#160; 0, 0, 1, 0,</div>
<div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>&#160; 0, 0, 0, 1);</div>
<div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>&#160; }</div>
<div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>&#160;</div>
<div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>&#160; <span class="comment">// Operator Overloads /////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>&#160;</div>
<div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>&#160;</div>
<div class="line"><a name="l01225"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#aac0e1653743affa9b0058625a773a3ab"> 1225</a></span>&#160; T&amp; <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#aac0e1653743affa9b0058625a773a3ab">operator()</a>(<span class="keywordtype">size_t</span> row, <span class="keywordtype">size_t</span> col)</div>
<div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>&#160; {</div>
<div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>&#160; <span class="keywordflow">return</span> <span class="keyword">const_cast&lt;</span>T&amp;<span class="keyword">&gt;</span>(<span class="keyword">static_cast&lt;</span><span class="keyword">const </span><a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp;<span class="keyword">&gt;</span>(*this)(row, col));</div>
<div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>&#160; }</div>
<div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>&#160;</div>
<div class="line"><a name="l01235"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#aef31966d6075c3f7712a6b479e6d40f4"> 1235</a></span>&#160; <span class="keyword">const</span> T&amp; <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#aef31966d6075c3f7712a6b479e6d40f4">operator()</a>(<span class="keywordtype">size_t</span> row, <span class="keywordtype">size_t</span> col)<span class="keyword"> const</span></div>
<div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>&#160; assert(row &lt; 4 &amp;&amp; col &lt; 4);</div>
<div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>&#160;</div>
<div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>&#160; <span class="keywordflow">return</span> e[col * 4 + row];</div>
<div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>&#160; }</div>
<div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>&#160;</div>
<div class="line"><a name="l01245"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a4b39fa7eb606461e1bb8cd671ab4f0fa"> 1245</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a4b39fa7eb606461e1bb8cd671ab4f0fa">operator-</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1mat.html#aeda3112f2f4de7e4805dacc6adf4eea7">neg</a>();</div>
<div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>&#160; }</div>
<div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>&#160;</div>
<div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01255"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a7556a4b90a3290e1ac45b962094cccf7"> 1255</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a7556a4b90a3290e1ac45b962094cccf7">operator*=</a>(<span class="keyword">const</span> S&amp; rhs)</div>
<div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>&#160; {</div>
<div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>&#160;<span class="preprocessor"> #if defined(_MSC_VER)</span></div>
<div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>&#160;</div>
<div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>&#160; <span class="comment">// The operator*= throws a warning when a mat*f is multiplied by a mat*d.</span></div>
<div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>&#160;<span class="preprocessor"> #pragma warning(disable:4244)</span></div>
<div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>&#160;</div>
<div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 4 * 4; i++)</div>
<div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>&#160; e[i] *= rhs;</div>
<div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>&#160;</div>
<div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>&#160;<span class="preprocessor"> #if defined (_MSC_VER)</span></div>
<div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>&#160;</div>
<div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>&#160; }</div>
<div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>&#160;</div>
<div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01279"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ab0906a8ce510f96a48a87388388cf8bd"> 1279</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ab0906a8ce510f96a48a87388388cf8bd">operator*=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;4, 4, S&gt;</a>&amp; rhs)</div>
<div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>&#160; {</div>
<div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>&#160; <span class="keywordtype">size_t</span> row = 0;</div>
<div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>&#160; <span class="keywordtype">size_t</span> col = 0;</div>
<div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>&#160; <span class="keywordtype">size_t</span> cell = 0;</div>
<div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>&#160;</div>
<div class="line"><a name="l01285"></a><span class="lineno"> 1285</span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html">mat&lt;4, 4, T&gt;</a> return_mat = <a class="code" href="structvn_1_1math_1_1mat.html#a74dce7276c1bee90560e71694e4d0f32">zero</a>();</div>
<div class="line"><a name="l01286"></a><span class="lineno"> 1286</span>&#160;</div>
<div class="line"><a name="l01287"></a><span class="lineno"> 1287</span>&#160; <span class="comment">// Remember, this matrix is stored in column order</span></div>
<div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row_index = 0; row_index &lt; 4; row_index++)</div>
<div class="line"><a name="l01289"></a><span class="lineno"> 1289</span>&#160; {</div>
<div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col_index = 0; col_index &lt; 4; col_index++)</div>
<div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>&#160; {</div>
<div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>&#160; cell = row_index + (col_index * 4);</div>
<div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>&#160;</div>
<div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> cell_index = 0; cell_index &lt; 4; cell_index++)</div>
<div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>&#160; {</div>
<div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>&#160; <span class="comment">// calculated for the cell in the current row</span></div>
<div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>&#160; row = row_index + (cell_index * 4);</div>
<div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>&#160; <span class="comment">// calculated for the cell in the current column</span></div>
<div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>&#160; col = cell_index + (col_index * 4);</div>
<div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>&#160;</div>
<div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>&#160; return_mat.<a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a585eab3db396c82847cadf1d028fddda">e</a>[cell] += this-&gt;e[row] * rhs.e[col];</div>
<div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>&#160; }</div>
<div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>&#160; }</div>
<div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>&#160; }</div>
<div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>&#160;</div>
<div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>&#160; *<span class="keyword">this</span> = return_mat;</div>
<div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>&#160;</div>
<div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>&#160; }</div>
<div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>&#160;</div>
<div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01316"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a3c8ae46c1918730167ec0ac64695f3f8"> 1316</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a3c8ae46c1918730167ec0ac64695f3f8">operator/=</a>(<span class="keyword">const</span> S&amp; rhs)</div>
<div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>&#160; {</div>
<div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>&#160;<span class="preprocessor"> #if defined(_MSC_VER)</span></div>
<div class="line"><a name="l01319"></a><span class="lineno"> 1319</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l01320"></a><span class="lineno"> 1320</span>&#160;</div>
<div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>&#160; <span class="comment">// The operator/= throws a warning when a mat*f is divided by a double.</span></div>
<div class="line"><a name="l01322"></a><span class="lineno"> 1322</span>&#160;<span class="preprocessor"> #pragma warning(disable:4244)</span></div>
<div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>&#160;</div>
<div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 4 * 4; i++)</div>
<div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>&#160; e[i] /= rhs;</div>
<div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>&#160;</div>
<div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>&#160;<span class="preprocessor"> #if defined (_MSC_VER)</span></div>
<div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>&#160;</div>
<div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>&#160; }</div>
<div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>&#160;</div>
<div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01340"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a2e2d845104cbe16b22a3f5c95e656b50"> 1340</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a2e2d845104cbe16b22a3f5c95e656b50">operator+=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;4, 4, S&gt;</a>&amp; rhs)</div>
<div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>&#160; {</div>
<div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 4*4; i++)</div>
<div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>&#160; e[i] += rhs.e[i];</div>
<div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>&#160;</div>
<div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>&#160; }</div>
<div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>&#160;</div>
<div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01353"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a788357e9b80130a75bd65b0643e26579"> 1353</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a788357e9b80130a75bd65b0643e26579">operator-=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;4, 4, S&gt;</a>&amp; rhs)</div>
<div class="line"><a name="l01354"></a><span class="lineno"> 1354</span>&#160; {</div>
<div class="line"><a name="l01355"></a><span class="lineno"> 1355</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 4*4; i++)</div>
<div class="line"><a name="l01356"></a><span class="lineno"> 1356</span>&#160; e[i] -= rhs.e[i];</div>
<div class="line"><a name="l01357"></a><span class="lineno"> 1357</span>&#160;</div>
<div class="line"><a name="l01358"></a><span class="lineno"> 1358</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>&#160; }</div>
<div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>&#160;</div>
<div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>&#160; <span class="comment">// Public Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>&#160;</div>
<div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>&#160;</div>
<div class="line"><a name="l01368"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a320f0a6c6e3af2d33a5196bd1d48d66c"> 1368</a></span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a320f0a6c6e3af2d33a5196bd1d48d66c">dimRow</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> 4; }</div>
<div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>&#160;</div>
<div class="line"><a name="l01373"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ad6f53bc3d0f864e9215adddc16b07466"> 1373</a></span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ad6f53bc3d0f864e9215adddc16b07466">dimCol</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> 4; }</div>
<div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>&#160;</div>
<div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01376"></a><span class="lineno"> 1376</span>&#160; <span class="keywordtype">void</span> copy(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat&lt;4, 4, S&gt;</a>&amp; rhs)</div>
<div class="line"><a name="l01377"></a><span class="lineno"> 1377</span>&#160; {</div>
<div class="line"><a name="l01378"></a><span class="lineno"> 1378</span>&#160; *<span class="keyword">this</span> = rhs;</div>
<div class="line"><a name="l01379"></a><span class="lineno"> 1379</span>&#160; }</div>
<div class="line"><a name="l01380"></a><span class="lineno"> 1380</span>&#160;</div>
<div class="line"><a name="l01384"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#aec5547714a60f7ef366997924af39f54"> 1384</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#aec5547714a60f7ef366997924af39f54">neg</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l01385"></a><span class="lineno"> 1385</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01386"></a><span class="lineno"> 1386</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l01387"></a><span class="lineno"> 1387</span>&#160;</div>
<div class="line"><a name="l01388"></a><span class="lineno"> 1388</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 4 * 4; i++)</div>
<div class="line"><a name="l01389"></a><span class="lineno"> 1389</span>&#160; nm.e[i] = -e[i];</div>
<div class="line"><a name="l01390"></a><span class="lineno"> 1390</span>&#160;</div>
<div class="line"><a name="l01391"></a><span class="lineno"> 1391</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l01392"></a><span class="lineno"> 1392</span>&#160; }</div>
<div class="line"><a name="l01393"></a><span class="lineno"> 1393</span>&#160;</div>
<div class="line"><a name="l01398"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a1c623ff356a5c3778fe44427cdebd794"> 1398</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a1c623ff356a5c3778fe44427cdebd794">mult</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; scalar)<span class="keyword"> const</span></div>
<div class="line"><a name="l01399"></a><span class="lineno"> 1399</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01400"></a><span class="lineno"> 1400</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l01401"></a><span class="lineno"> 1401</span>&#160;</div>
<div class="line"><a name="l01402"></a><span class="lineno"> 1402</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 4*4; i++)</div>
<div class="line"><a name="l01403"></a><span class="lineno"> 1403</span>&#160; nm.e[i] = e[i] * scalar;</div>
<div class="line"><a name="l01404"></a><span class="lineno"> 1404</span>&#160;</div>
<div class="line"><a name="l01405"></a><span class="lineno"> 1405</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l01406"></a><span class="lineno"> 1406</span>&#160; }</div>
<div class="line"><a name="l01407"></a><span class="lineno"> 1407</span>&#160;</div>
<div class="line"><a name="l01408"></a><span class="lineno"> 1408</span>&#160; <span class="comment">//mat mult(const mat&amp; rhs)</span></div>
<div class="line"><a name="l01409"></a><span class="lineno"> 1409</span>&#160;</div>
<div class="line"><a name="l01414"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a37b573266c4269dc8a65460487466190"> 1414</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a37b573266c4269dc8a65460487466190">div</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; scalar)<span class="keyword"> const</span></div>
<div class="line"><a name="l01415"></a><span class="lineno"> 1415</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01416"></a><span class="lineno"> 1416</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l01417"></a><span class="lineno"> 1417</span>&#160;</div>
<div class="line"><a name="l01418"></a><span class="lineno"> 1418</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 4*4; i++)</div>
<div class="line"><a name="l01419"></a><span class="lineno"> 1419</span>&#160; nm.e[i] = e[i] / scalar;</div>
<div class="line"><a name="l01420"></a><span class="lineno"> 1420</span>&#160;</div>
<div class="line"><a name="l01421"></a><span class="lineno"> 1421</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l01422"></a><span class="lineno"> 1422</span>&#160; }</div>
<div class="line"><a name="l01423"></a><span class="lineno"> 1423</span>&#160;</div>
<div class="line"><a name="l01428"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a26073216887df10736af1f27f46f1b9f"> 1428</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a26073216887df10736af1f27f46f1b9f">add</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; toAdd)<span class="keyword"> const</span></div>
<div class="line"><a name="l01429"></a><span class="lineno"> 1429</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01430"></a><span class="lineno"> 1430</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l01431"></a><span class="lineno"> 1431</span>&#160;</div>
<div class="line"><a name="l01432"></a><span class="lineno"> 1432</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 4*4; i++)</div>
<div class="line"><a name="l01433"></a><span class="lineno"> 1433</span>&#160; nm.e[i] = e[i] + toAdd.e[i];</div>
<div class="line"><a name="l01434"></a><span class="lineno"> 1434</span>&#160;</div>
<div class="line"><a name="l01435"></a><span class="lineno"> 1435</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l01436"></a><span class="lineno"> 1436</span>&#160; }</div>
<div class="line"><a name="l01437"></a><span class="lineno"> 1437</span>&#160;</div>
<div class="line"><a name="l01442"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a096db9318c65335205c3bb43fa866ad9"> 1442</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a096db9318c65335205c3bb43fa866ad9">sub</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1mat.html">mat</a>&amp; toSub)<span class="keyword"> const</span></div>
<div class="line"><a name="l01443"></a><span class="lineno"> 1443</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01444"></a><span class="lineno"> 1444</span>&#160; <a class="code" href="structvn_1_1math_1_1mat.html">mat</a> nm;</div>
<div class="line"><a name="l01445"></a><span class="lineno"> 1445</span>&#160;</div>
<div class="line"><a name="l01446"></a><span class="lineno"> 1446</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 4*4; i++)</div>
<div class="line"><a name="l01447"></a><span class="lineno"> 1447</span>&#160; nm.e[i] = e[i] - toSub.e[i];</div>
<div class="line"><a name="l01448"></a><span class="lineno"> 1448</span>&#160;</div>
<div class="line"><a name="l01449"></a><span class="lineno"> 1449</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l01450"></a><span class="lineno"> 1450</span>&#160; }</div>
<div class="line"><a name="l01451"></a><span class="lineno"> 1451</span>&#160;</div>
<div class="line"><a name="l01455"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a33d6bb061022c77f97bc7090f5fbd070"> 1455</a></span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html">mat&lt;4, 4, T&gt;</a> <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a33d6bb061022c77f97bc7090f5fbd070">transpose</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l01456"></a><span class="lineno"> 1456</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01457"></a><span class="lineno"> 1457</span>&#160; <a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html">mat&lt;4, 4, T&gt;</a> nm;</div>
<div class="line"><a name="l01458"></a><span class="lineno"> 1458</span>&#160;</div>
<div class="line"><a name="l01459"></a><span class="lineno"> 1459</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row = 0; row &lt; 4; row++)</div>
<div class="line"><a name="l01460"></a><span class="lineno"> 1460</span>&#160; {</div>
<div class="line"><a name="l01461"></a><span class="lineno"> 1461</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col = 0; col &lt; 4; col++)</div>
<div class="line"><a name="l01462"></a><span class="lineno"> 1462</span>&#160; {</div>
<div class="line"><a name="l01463"></a><span class="lineno"> 1463</span>&#160; nm.<a class="code" href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a585eab3db396c82847cadf1d028fddda">e</a>[row * 4 + col] = e[col * 4 + row];</div>
<div class="line"><a name="l01464"></a><span class="lineno"> 1464</span>&#160; }</div>
<div class="line"><a name="l01465"></a><span class="lineno"> 1465</span>&#160; }</div>
<div class="line"><a name="l01466"></a><span class="lineno"> 1466</span>&#160;</div>
<div class="line"><a name="l01467"></a><span class="lineno"> 1467</span>&#160; <span class="keywordflow">return</span> nm;</div>
<div class="line"><a name="l01468"></a><span class="lineno"> 1468</span>&#160; }</div>
<div class="line"><a name="l01469"></a><span class="lineno"> 1469</span>&#160;};</div>
<div class="line"><a name="l01470"></a><span class="lineno"> 1470</span>&#160;</div>
<div class="line"><a name="l01471"></a><span class="lineno"> 1471</span>&#160;<span class="preprocessor">#if defined (_MSC_VER)</span></div>
<div class="line"><a name="l01472"></a><span class="lineno"> 1472</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l01473"></a><span class="lineno"> 1473</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01474"></a><span class="lineno"> 1474</span>&#160;</div>
<div class="line"><a name="l01475"></a><span class="lineno"> 1475</span>&#160;<span class="comment">// Operator Overloads /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l01476"></a><span class="lineno"> 1476</span>&#160;</div>
<div class="line"><a name="l01482"></a><span class="lineno"> 1482</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> m, <span class="keywordtype">size_t</span> n, <span class="keyword">typename</span> T, <span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01483"></a><span class="lineno"> 1483</span>&#160;mat&lt;m, n, T&gt; operator*(mat&lt;m, n, T&gt; lhs, <span class="keyword">const</span> S&amp; rhs)</div>
<div class="line"><a name="l01484"></a><span class="lineno"> 1484</span>&#160;{</div>
<div class="line"><a name="l01485"></a><span class="lineno"> 1485</span>&#160; lhs *= rhs;</div>
<div class="line"><a name="l01486"></a><span class="lineno"> 1486</span>&#160;</div>
<div class="line"><a name="l01487"></a><span class="lineno"> 1487</span>&#160; <span class="keywordflow">return</span> lhs;</div>
<div class="line"><a name="l01488"></a><span class="lineno"> 1488</span>&#160;}</div>
<div class="line"><a name="l01489"></a><span class="lineno"> 1489</span>&#160;</div>
<div class="line"><a name="l01495"></a><span class="lineno"> 1495</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> m, <span class="keywordtype">size_t</span> n, <span class="keyword">typename</span> T, <span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01496"></a><span class="lineno"> 1496</span>&#160;mat&lt;m, n, T&gt; operator*(<span class="keyword">const</span> S&amp; lhs, mat&lt;m, n, T&gt; rhs)</div>
<div class="line"><a name="l01497"></a><span class="lineno"> 1497</span>&#160;{</div>
<div class="line"><a name="l01498"></a><span class="lineno"> 1498</span>&#160; rhs *= lhs;</div>
<div class="line"><a name="l01499"></a><span class="lineno"> 1499</span>&#160;</div>
<div class="line"><a name="l01500"></a><span class="lineno"> 1500</span>&#160; <span class="keywordflow">return</span> rhs;</div>
<div class="line"><a name="l01501"></a><span class="lineno"> 1501</span>&#160;}</div>
<div class="line"><a name="l01502"></a><span class="lineno"> 1502</span>&#160;</div>
<div class="line"><a name="l01508"></a><span class="lineno"> 1508</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> m, <span class="keywordtype">size_t</span> n, <span class="keyword">typename</span> T, <span class="keywordtype">size_t</span> r, <span class="keywordtype">size_t</span> s, <span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01509"></a><span class="lineno"> 1509</span>&#160;mat&lt;m, n, T&gt; operator*(mat&lt;m, n, T&gt;&amp;lhs, <span class="keyword">const</span> mat&lt;r, s, S&gt;&amp; rhs)</div>
<div class="line"><a name="l01510"></a><span class="lineno"> 1510</span>&#160;{</div>
<div class="line"><a name="l01511"></a><span class="lineno"> 1511</span>&#160; mat&lt;m, n, T&gt; tmp = lhs;</div>
<div class="line"><a name="l01512"></a><span class="lineno"> 1512</span>&#160; tmp *= rhs;</div>
<div class="line"><a name="l01513"></a><span class="lineno"> 1513</span>&#160;</div>
<div class="line"><a name="l01514"></a><span class="lineno"> 1514</span>&#160; <span class="keywordflow">return</span> tmp;</div>
<div class="line"><a name="l01515"></a><span class="lineno"> 1515</span>&#160;}</div>
<div class="line"><a name="l01516"></a><span class="lineno"> 1516</span>&#160;</div>
<div class="line"><a name="l01522"></a><span class="lineno"> 1522</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> m, <span class="keywordtype">size_t</span> n, <span class="keyword">typename</span> T, <span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01523"></a><span class="lineno"> 1523</span>&#160;mat&lt;m, n, T&gt; operator/(mat&lt;m, n, T&gt; lhs, <span class="keyword">const</span> S&amp; rhs)</div>
<div class="line"><a name="l01524"></a><span class="lineno"> 1524</span>&#160;{</div>
<div class="line"><a name="l01525"></a><span class="lineno"> 1525</span>&#160; lhs /= rhs;</div>
<div class="line"><a name="l01526"></a><span class="lineno"> 1526</span>&#160;</div>
<div class="line"><a name="l01527"></a><span class="lineno"> 1527</span>&#160; <span class="keywordflow">return</span> lhs;</div>
<div class="line"><a name="l01528"></a><span class="lineno"> 1528</span>&#160;}</div>
<div class="line"><a name="l01529"></a><span class="lineno"> 1529</span>&#160;</div>
<div class="line"><a name="l01535"></a><span class="lineno"> 1535</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> m, <span class="keywordtype">size_t</span> n, <span class="keyword">typename</span> T, <span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01536"></a><span class="lineno"> 1536</span>&#160;mat&lt;m, n, T&gt; operator+(mat&lt;m, n, T&gt; lhs, <span class="keyword">const</span> mat&lt;m, n, S&gt;&amp; rhs)</div>
<div class="line"><a name="l01537"></a><span class="lineno"> 1537</span>&#160;{</div>
<div class="line"><a name="l01538"></a><span class="lineno"> 1538</span>&#160; lhs += rhs;</div>
<div class="line"><a name="l01539"></a><span class="lineno"> 1539</span>&#160;</div>
<div class="line"><a name="l01540"></a><span class="lineno"> 1540</span>&#160; <span class="keywordflow">return</span> lhs;</div>
<div class="line"><a name="l01541"></a><span class="lineno"> 1541</span>&#160;}</div>
<div class="line"><a name="l01542"></a><span class="lineno"> 1542</span>&#160;</div>
<div class="line"><a name="l01548"></a><span class="lineno"> 1548</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> m, <span class="keywordtype">size_t</span> n, <span class="keyword">typename</span> T, <span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01549"></a><span class="lineno"> 1549</span>&#160;mat&lt;m, n, T&gt; operator-(mat&lt;m, n, T&gt; lhs, <span class="keyword">const</span> mat&lt;m, n, S&gt;&amp; rhs)</div>
<div class="line"><a name="l01550"></a><span class="lineno"> 1550</span>&#160;{</div>
<div class="line"><a name="l01551"></a><span class="lineno"> 1551</span>&#160; lhs -= rhs;</div>
<div class="line"><a name="l01552"></a><span class="lineno"> 1552</span>&#160;</div>
<div class="line"><a name="l01553"></a><span class="lineno"> 1553</span>&#160; <span class="keywordflow">return</span> lhs;</div>
<div class="line"><a name="l01554"></a><span class="lineno"> 1554</span>&#160;}</div>
<div class="line"><a name="l01555"></a><span class="lineno"> 1555</span>&#160;</div>
<div class="line"><a name="l01556"></a><span class="lineno"> 1556</span>&#160;<span class="comment">// Specific Typedefs //////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l01557"></a><span class="lineno"> 1557</span>&#160;</div>
<div class="line"><a name="l01559"></a><span class="lineno"> 1559</span>&#160;<span class="keyword">typedef</span> mat&lt;2&gt; mat2;</div>
<div class="line"><a name="l01560"></a><span class="lineno"> 1560</span>&#160;</div>
<div class="line"><a name="l01562"></a><span class="lineno"> 1562</span>&#160;<span class="keyword">typedef</span> mat&lt;3&gt; mat3;</div>
<div class="line"><a name="l01563"></a><span class="lineno"> 1563</span>&#160;</div>
<div class="line"><a name="l01565"></a><span class="lineno"> 1565</span>&#160;<span class="keyword">typedef</span> mat&lt;4&gt; mat4;</div>
<div class="line"><a name="l01566"></a><span class="lineno"> 1566</span>&#160;</div>
<div class="line"><a name="l01568"></a><span class="lineno"> 1568</span>&#160;<span class="keyword">typedef</span> mat&lt;2&gt; mat22;</div>
<div class="line"><a name="l01569"></a><span class="lineno"> 1569</span>&#160;</div>
<div class="line"><a name="l01571"></a><span class="lineno"> 1571</span>&#160;<span class="keyword">typedef</span> mat&lt;3&gt; mat33;</div>
<div class="line"><a name="l01572"></a><span class="lineno"> 1572</span>&#160;</div>
<div class="line"><a name="l01574"></a><span class="lineno"> 1574</span>&#160;<span class="keyword">typedef</span> mat&lt;4&gt; mat44;</div>
<div class="line"><a name="l01575"></a><span class="lineno"> 1575</span>&#160;</div>
<div class="line"><a name="l01577"></a><span class="lineno"> 1577</span>&#160;<span class="keyword">typedef</span> mat&lt;2, 2, float&gt; mat2f;</div>
<div class="line"><a name="l01578"></a><span class="lineno"> 1578</span>&#160;</div>
<div class="line"><a name="l01580"></a><span class="lineno"> 1580</span>&#160;<span class="keyword">typedef</span> mat&lt;3, 3, float&gt; mat3f;</div>
<div class="line"><a name="l01581"></a><span class="lineno"> 1581</span>&#160;</div>
<div class="line"><a name="l01583"></a><span class="lineno"> 1583</span>&#160;<span class="keyword">typedef</span> mat&lt;4, 4, float&gt; mat4f;</div>
<div class="line"><a name="l01584"></a><span class="lineno"> 1584</span>&#160;</div>
<div class="line"><a name="l01586"></a><span class="lineno"> 1586</span>&#160;<span class="keyword">typedef</span> mat&lt;2, 2, double&gt; mat2d;</div>
<div class="line"><a name="l01587"></a><span class="lineno"> 1587</span>&#160;</div>
<div class="line"><a name="l01589"></a><span class="lineno"> 1589</span>&#160;<span class="keyword">typedef</span> mat&lt;3, 3, double&gt; mat3d;</div>
<div class="line"><a name="l01590"></a><span class="lineno"> 1590</span>&#160;</div>
<div class="line"><a name="l01592"></a><span class="lineno"> 1592</span>&#160;<span class="keyword">typedef</span> mat&lt;4, 4, double&gt; mat4d;</div>
<div class="line"><a name="l01593"></a><span class="lineno"> 1593</span>&#160;</div>
<div class="line"><a name="l01595"></a><span class="lineno"> 1595</span>&#160;<span class="keyword">typedef</span> mat&lt;2, 2, long double&gt; mat2ld;</div>
<div class="line"><a name="l01596"></a><span class="lineno"> 1596</span>&#160;</div>
<div class="line"><a name="l01598"></a><span class="lineno"> 1598</span>&#160;<span class="keyword">typedef</span> mat&lt;3, 3, long double&gt; mat3ld;</div>
<div class="line"><a name="l01599"></a><span class="lineno"> 1599</span>&#160;</div>
<div class="line"><a name="l01601"></a><span class="lineno"> 1601</span>&#160;<span class="keyword">typedef</span> mat&lt;4, 4, long double&gt; mat4ld;</div>
<div class="line"><a name="l01602"></a><span class="lineno"> 1602</span>&#160;</div>
<div class="line"><a name="l01604"></a><span class="lineno"> 1604</span>&#160;<span class="keyword">typedef</span> mat&lt;2, 2, float&gt; mat22f;</div>
<div class="line"><a name="l01605"></a><span class="lineno"> 1605</span>&#160;</div>
<div class="line"><a name="l01607"></a><span class="lineno"> 1607</span>&#160;<span class="keyword">typedef</span> mat&lt;3, 3, float&gt; mat33f;</div>
<div class="line"><a name="l01608"></a><span class="lineno"> 1608</span>&#160;</div>
<div class="line"><a name="l01610"></a><span class="lineno"> 1610</span>&#160;<span class="keyword">typedef</span> mat&lt;4, 3, float&gt; mat44f;</div>
<div class="line"><a name="l01611"></a><span class="lineno"> 1611</span>&#160;</div>
<div class="line"><a name="l01613"></a><span class="lineno"> 1613</span>&#160;<span class="keyword">typedef</span> mat&lt;2, 2, double&gt; mat22d;</div>
<div class="line"><a name="l01614"></a><span class="lineno"> 1614</span>&#160;</div>
<div class="line"><a name="l01616"></a><span class="lineno"> 1616</span>&#160;<span class="keyword">typedef</span> mat&lt;3, 3, double&gt; mat33d;</div>
<div class="line"><a name="l01617"></a><span class="lineno"> 1617</span>&#160;</div>
<div class="line"><a name="l01619"></a><span class="lineno"> 1619</span>&#160;<span class="keyword">typedef</span> mat&lt;4, 4, double&gt; mat44d;</div>
<div class="line"><a name="l01620"></a><span class="lineno"> 1620</span>&#160;</div>
<div class="line"><a name="l01622"></a><span class="lineno"> 1622</span>&#160;<span class="keyword">typedef</span> mat&lt;2, 2, long double&gt; mat22ld;</div>
<div class="line"><a name="l01623"></a><span class="lineno"> 1623</span>&#160;</div>
<div class="line"><a name="l01625"></a><span class="lineno"> 1625</span>&#160;<span class="keyword">typedef</span> mat&lt;3, 3, long double&gt; mat33ld;</div>
<div class="line"><a name="l01626"></a><span class="lineno"> 1626</span>&#160;</div>
<div class="line"><a name="l01628"></a><span class="lineno"> 1628</span>&#160;<span class="keyword">typedef</span> mat&lt;4, 4, long double&gt; mat44ld;</div>
<div class="line"><a name="l01629"></a><span class="lineno"> 1629</span>&#160;</div>
<div class="line"><a name="l01630"></a><span class="lineno"> 1630</span>&#160;<span class="comment">// Common functions for working with matrices.</span></div>
<div class="line"><a name="l01631"></a><span class="lineno"> 1631</span>&#160;</div>
<div class="line"><a name="l01637"></a><span class="lineno"> 1637</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> mDim, <span class="keywordtype">size_t</span> nDim, <span class="keyword">typename</span> T&gt; std::string str(mat&lt;mDim, nDim, T&gt; m)</div>
<div class="line"><a name="l01638"></a><span class="lineno"> 1638</span>&#160;{</div>
<div class="line"><a name="l01639"></a><span class="lineno"> 1639</span>&#160; std::stringstream ss;</div>
<div class="line"><a name="l01640"></a><span class="lineno"> 1640</span>&#160; ss &lt;&lt; <span class="stringliteral">&quot;[&quot;</span>;</div>
<div class="line"><a name="l01641"></a><span class="lineno"> 1641</span>&#160;</div>
<div class="line"><a name="l01642"></a><span class="lineno"> 1642</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row_index = 0; row_index &lt; m.dimRow(); row_index++)</div>
<div class="line"><a name="l01643"></a><span class="lineno"> 1643</span>&#160; {</div>
<div class="line"><a name="l01644"></a><span class="lineno"> 1644</span>&#160; ss &lt;&lt; <span class="stringliteral">&quot;(&quot;</span>;</div>
<div class="line"><a name="l01645"></a><span class="lineno"> 1645</span>&#160;</div>
<div class="line"><a name="l01646"></a><span class="lineno"> 1646</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col_index = 0; col_index &lt; m.dimCol(); col_index++)</div>
<div class="line"><a name="l01647"></a><span class="lineno"> 1647</span>&#160; {</div>
<div class="line"><a name="l01648"></a><span class="lineno"> 1648</span>&#160; ss &lt;&lt; m(row_index, col_index);</div>
<div class="line"><a name="l01649"></a><span class="lineno"> 1649</span>&#160;</div>
<div class="line"><a name="l01650"></a><span class="lineno"> 1650</span>&#160; <span class="keywordflow">if</span> (col_index + 1 &lt; m.dimCol())</div>
<div class="line"><a name="l01651"></a><span class="lineno"> 1651</span>&#160; ss &lt;&lt; <span class="stringliteral">&quot;; &quot;</span>;</div>
<div class="line"><a name="l01652"></a><span class="lineno"> 1652</span>&#160; }</div>
<div class="line"><a name="l01653"></a><span class="lineno"> 1653</span>&#160;</div>
<div class="line"><a name="l01654"></a><span class="lineno"> 1654</span>&#160; ss &lt;&lt; <span class="stringliteral">&quot;)&quot;</span>;</div>
<div class="line"><a name="l01655"></a><span class="lineno"> 1655</span>&#160; }</div>
<div class="line"><a name="l01656"></a><span class="lineno"> 1656</span>&#160;</div>
<div class="line"><a name="l01657"></a><span class="lineno"> 1657</span>&#160; ss &lt;&lt; <span class="stringliteral">&quot;]&quot;</span>;</div>
<div class="line"><a name="l01658"></a><span class="lineno"> 1658</span>&#160;</div>
<div class="line"><a name="l01659"></a><span class="lineno"> 1659</span>&#160; <span class="keywordflow">return</span> ss.str();</div>
<div class="line"><a name="l01660"></a><span class="lineno"> 1660</span>&#160;}</div>
<div class="line"><a name="l01661"></a><span class="lineno"> 1661</span>&#160;</div>
<div class="line"><a name="l01668"></a><span class="lineno"> 1668</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> mDim, <span class="keywordtype">size_t</span> nDim, <span class="keyword">typename</span> T&gt; std::ostream&amp; operator&lt;&lt;(std::ostream&amp; out, mat&lt;mDim, nDim, T&gt; m)</div>
<div class="line"><a name="l01669"></a><span class="lineno"> 1669</span>&#160;{</div>
<div class="line"><a name="l01670"></a><span class="lineno"> 1670</span>&#160; out &lt;&lt; str(m);</div>
<div class="line"><a name="l01671"></a><span class="lineno"> 1671</span>&#160; <span class="keywordflow">return</span> out;</div>
<div class="line"><a name="l01672"></a><span class="lineno"> 1672</span>&#160;}</div>
<div class="line"><a name="l01673"></a><span class="lineno"> 1673</span>&#160;</div>
<div class="line"><a name="l01674"></a><span class="lineno"> 1674</span>&#160;}</div>
<div class="line"><a name="l01675"></a><span class="lineno"> 1675</span>&#160;}</div>
<div class="line"><a name="l01676"></a><span class="lineno"> 1676</span>&#160;</div>
<div class="line"><a name="l01677"></a><span class="lineno"> 1677</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_ac0562d55e4863a6a4b17c857c7be9b8a"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#ac0562d55e4863a6a4b17c857c7be9b8a">vn::math::mat&lt; 2, 2, T &gt;::mat</a></div><div class="ttdeci">mat()</div><div class="ttdoc">Creates a new matrix with uninitialized elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:357</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a81c08f9a7e099a0006ebeab977301d71"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a81c08f9a7e099a0006ebeab977301d71">vn::math::mat&lt; 4, 4, T &gt;::e12</a></div><div class="ttdeci">T e12</div><div class="ttdoc">Element 1,2. </div><div class="ttdef"><b>Definition:</b> matrix.h:1099</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_accfffcc256bcd3ce64f0b199891b05e3"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#accfffcc256bcd3ce64f0b199891b05e3">vn::math::mat&lt; 2, 2, T &gt;::one</a></div><div class="ttdeci">static mat one()</div><div class="ttdoc">Matrix with all of its elements set to 1. </div><div class="ttdef"><b>Definition:</b> matrix.h:406</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_ab0906a8ce510f96a48a87388388cf8bd"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ab0906a8ce510f96a48a87388388cf8bd">vn::math::mat&lt; 4, 4, T &gt;::operator*=</a></div><div class="ttdeci">mat &amp; operator*=(const mat&lt; 4, 4, S &gt; &amp;rhs)</div><div class="ttdoc">Multiplies the matrix by another matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:1279</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_a2701b4c2cb1f640dbcef3ace029e5a97"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#a2701b4c2cb1f640dbcef3ace029e5a97">vn::math::mat::operator()</a></div><div class="ttdeci">T &amp; operator()(size_t row, size_t col)</div><div class="ttdoc">Indexing into the matrix&#39;s elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:91</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_aef31966d6075c3f7712a6b479e6d40f4"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#aef31966d6075c3f7712a6b479e6d40f4">vn::math::mat&lt; 4, 4, T &gt;::operator()</a></div><div class="ttdeci">const T &amp; operator()(size_t row, size_t col) const </div><div class="ttdoc">Indexing into the matrix&#39;s elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:1235</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_afc8a881efb961d2e880541e344596402"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#afc8a881efb961d2e880541e344596402">vn::math::mat&lt; 4, 4, T &gt;::identity</a></div><div class="ttdeci">static mat&lt; 4, 4, T &gt; identity()</div><div class="ttdoc">Identity matrix with its diagonal elements set to 1. </div><div class="ttdef"><b>Definition:</b> matrix.h:1208</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a0ab9c26cc91b4060d278203893ce1d3c"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a0ab9c26cc91b4060d278203893ce1d3c">vn::math::mat&lt; 3, 3, T &gt;::mat</a></div><div class="ttdeci">mat(vec&lt; 3, T &gt; col0, vec&lt; 3, T &gt; col1, vec&lt; 3, T &gt; col2)</div><div class="ttdoc">Constructs a matrix from 3 column vectors. Vectors are stored in column order. </div><div class="ttdef"><b>Definition:</b> matrix.h:763</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a18ce7bbd2ff90a4ab684ecfee1472cfb"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a18ce7bbd2ff90a4ab684ecfee1472cfb">vn::math::mat&lt; 4, 4, T &gt;::e02</a></div><div class="ttdeci">T e02</div><div class="ttdoc">Element 0,2. </div><div class="ttdef"><b>Definition:</b> matrix.h:1096</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a26073216887df10736af1f27f46f1b9f"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a26073216887df10736af1f27f46f1b9f">vn::math::mat&lt; 4, 4, T &gt;::add</a></div><div class="ttdeci">mat add(const mat &amp;toAdd) const </div><div class="ttdoc">Adds a matrix to this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:1428</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_abcbc1cbe4ec1ad16029d97efd0b18c3a"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#abcbc1cbe4ec1ad16029d97efd0b18c3a">vn::math::mat&lt; 2, 2, T &gt;::mat</a></div><div class="ttdeci">mat(T e00v, T e01v, T e10v, T e11v)</div><div class="ttdoc">Creates a new matrix with its components initialized to the provided values. </div><div class="ttdef"><b>Definition:</b> matrix.h:374</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a600c7409b7f66046d60b9d2af47e09cb"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a600c7409b7f66046d60b9d2af47e09cb">vn::math::mat&lt; 2, 2, T &gt;::operator()</a></div><div class="ttdeci">const T &amp; operator()(size_t row, size_t col) const </div><div class="ttdoc">Indexing into the matrix&#39;s elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:440</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a5010c656df1dca4e23acd5f6466d3f09"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a5010c656df1dca4e23acd5f6466d3f09">vn::math::mat&lt; 4, 4, T &gt;::e33</a></div><div class="ttdeci">T e33</div><div class="ttdoc">Element 3,3. </div><div class="ttdef"><b>Definition:</b> matrix.h:1117</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a64dc3485bba2b09725aa516c0285e01e"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a64dc3485bba2b09725aa516c0285e01e">vn::math::mat&lt; 3, 3, T &gt;::operator()</a></div><div class="ttdeci">T &amp; operator()(size_t row, size_t col)</div><div class="ttdoc">Indexing into the matrix&#39;s elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:811</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_aeea4cee7cf9f2fe3e85f441834b739c6"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#aeea4cee7cf9f2fe3e85f441834b739c6">vn::math::mat::operator-=</a></div><div class="ttdeci">mat &amp; operator-=(const mat&lt; m, n, S &gt; &amp;rhs)</div><div class="ttdoc">Subtracts a matrix from this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:202</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html">vn::math::vec&lt; 4, T &gt;</a></div><div class="ttdoc">Vector with 4 component specialization. </div><div class="ttdef"><b>Definition:</b> vector.h:869</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_aea74fd3b5b1a18fae476db4a8f9da44b"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#aea74fd3b5b1a18fae476db4a8f9da44b">vn::math::mat&lt; 3, 3, T &gt;::neg</a></div><div class="ttdeci">mat neg() const </div><div class="ttdoc">Negates the matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:973</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_a5ae74f82dff41b8a94066196f83e0c01"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#a5ae74f82dff41b8a94066196f83e0c01">vn::math::mat::operator+=</a></div><div class="ttdeci">mat &amp; operator+=(const mat&lt; m, n, S &gt; &amp;rhs)</div><div class="ttdoc">Adds a matrix to this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:189</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a5a5bafa870ed4f1186a74b5bcefedc91"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a5a5bafa870ed4f1186a74b5bcefedc91">vn::math::mat&lt; 2, 2, T &gt;::add</a></div><div class="ttdeci">mat add(const mat &amp;toAdd) const </div><div class="ttdoc">Adds a matrix to this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:632</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_afb14f3919549c928c784e5c0252c97d0"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#afb14f3919549c928c784e5c0252c97d0">vn::math::mat&lt; 4, 4, T &gt;::e21</a></div><div class="ttdeci">T e21</div><div class="ttdoc">Element 2,1. </div><div class="ttdef"><b>Definition:</b> matrix.h:1090</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a9918d9e59a6bd4735f9901f12fc64068"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a9918d9e59a6bd4735f9901f12fc64068">vn::math::mat&lt; 3, 3, T &gt;::e12</a></div><div class="ttdeci">T e12</div><div class="ttdoc">Element 1,2. </div><div class="ttdef"><b>Definition:</b> matrix.h:711</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a37b573266c4269dc8a65460487466190"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a37b573266c4269dc8a65460487466190">vn::math::mat&lt; 4, 4, T &gt;::div</a></div><div class="ttdeci">mat div(const double &amp;scalar) const </div><div class="ttdoc">Divides the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:1414</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a41de85483d8af031efadf7dcdf5522a9"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a41de85483d8af031efadf7dcdf5522a9">vn::math::mat&lt; 3, 3, T &gt;::div</a></div><div class="ttdeci">mat div(const double &amp;scalar) const </div><div class="ttdoc">Divides the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:1001</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a51a68307a3790c3b14670e65f665b3fe"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a51a68307a3790c3b14670e65f665b3fe">vn::math::mat&lt; 2, 2, T &gt;::operator/=</a></div><div class="ttdeci">mat &amp; operator/=(const S &amp;rhs)</div><div class="ttdoc">Divides the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:521</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html">vn::math::mat&lt; 3, 3, T &gt;</a></div><div class="ttdoc">3x3 matrix specialization. </div><div class="ttdef"><b>Definition:</b> matrix.h:678</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_ad22795e2e7a1d6823a8cbc68a8648374"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ad22795e2e7a1d6823a8cbc68a8648374">vn::math::mat&lt; 3, 3, T &gt;::e21</a></div><div class="ttdeci">T e21</div><div class="ttdoc">Element 2,1. </div><div class="ttdef"><b>Definition:</b> matrix.h:705</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_ab96b305b2003774fe8fcde670da3635d"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ab96b305b2003774fe8fcde670da3635d">vn::math::mat&lt; 3, 3, T &gt;::e02</a></div><div class="ttdeci">T e02</div><div class="ttdoc">Element 0,2. </div><div class="ttdef"><b>Definition:</b> matrix.h:708</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a8b25e166096cf726c56a85ce3bd3d895"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a8b25e166096cf726c56a85ce3bd3d895">vn::math::mat&lt; 3, 3, T &gt;::e01</a></div><div class="ttdeci">T e01</div><div class="ttdoc">Element 0,1. </div><div class="ttdef"><b>Definition:</b> matrix.h:699</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a890a3f29039b37e519b37e7574b7c0af"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a890a3f29039b37e519b37e7574b7c0af">vn::math::mat&lt; 3, 3, T &gt;::operator*=</a></div><div class="ttdeci">mat &amp; operator*=(const mat&lt; 3, 3, S &gt; &amp;rhs)</div><div class="ttdoc">Multiplies the matrix by another matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:865</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a59f661e584cbb08a21e1351c5b6f5d4b"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a59f661e584cbb08a21e1351c5b6f5d4b">vn::math::mat&lt; 4, 4, T &gt;::e01</a></div><div class="ttdeci">T e01</div><div class="ttdoc">Element 0,1. </div><div class="ttdef"><b>Definition:</b> matrix.h:1084</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a1c623ff356a5c3778fe44427cdebd794"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a1c623ff356a5c3778fe44427cdebd794">vn::math::mat&lt; 4, 4, T &gt;::mult</a></div><div class="ttdeci">mat mult(const double &amp;scalar) const </div><div class="ttdoc">Multiplies the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:1398</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a30da6e7e7a11d6c879372187063a5f7d"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a30da6e7e7a11d6c879372187063a5f7d">vn::math::mat&lt; 2, 2, T &gt;::operator-</a></div><div class="ttdeci">mat operator-() const </div><div class="ttdoc">Negates the matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:450</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_af8d5d30db8cc1b0c71980dade4d35903"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#af8d5d30db8cc1b0c71980dade4d35903">vn::math::mat&lt; 3, 3, T &gt;::operator*=</a></div><div class="ttdeci">mat &amp; operator*=(const S &amp;rhs)</div><div class="ttdoc">Multiplies the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:841</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_aa267fd658e0a7896fa621046e165035c"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#aa267fd658e0a7896fa621046e165035c">vn::math::mat&lt; 2, 2, T &gt;::transpose</a></div><div class="ttdeci">mat&lt; 2, 2, T &gt; transpose() const </div><div class="ttdoc">Transposes the matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:659</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html">vn::math::mat&lt; 2, 2, T &gt;</a></div><div class="ttdoc">2x2 matrix specialization. </div><div class="ttdef"><b>Definition:</b> matrix.h:324</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a125b6001cb3652138c28c52e34ea1a87"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a125b6001cb3652138c28c52e34ea1a87">vn::math::mat&lt; 3, 3, T &gt;::add</a></div><div class="ttdeci">mat add(const mat &amp;toAdd) const </div><div class="ttdoc">Adds a matrix to this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:1015</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a7b699d5e050d1e14f6347271681fe1a1"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a7b699d5e050d1e14f6347271681fe1a1">vn::math::mat&lt; 3, 3, T &gt;::dimRow</a></div><div class="ttdeci">size_t dimRow() const </div><div class="ttdoc">The matrix&#39;s row dimension. </div><div class="ttdef"><b>Definition:</b> matrix.h:956</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a519a2cbc59ab9ea1212e4f73122a3ed7"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a519a2cbc59ab9ea1212e4f73122a3ed7">vn::math::mat&lt; 3, 3, T &gt;::operator+=</a></div><div class="ttdeci">mat &amp; operator+=(const mat&lt; 3, 3, S &gt; &amp;rhs)</div><div class="ttdoc">Adds a matrix to this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:928</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_adfd7bcc6ea2490f35bd79c81ace64d98"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#adfd7bcc6ea2490f35bd79c81ace64d98">vn::math::mat&lt; 2, 2, T &gt;::operator()</a></div><div class="ttdeci">T &amp; operator()(size_t row, size_t col)</div><div class="ttdoc">Indexing into the matrix&#39;s elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:430</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a1e1cc1d8916d7972ed60ddfcb9863c56"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a1e1cc1d8916d7972ed60ddfcb9863c56">vn::math::mat&lt; 2, 2, T &gt;::operator*=</a></div><div class="ttdeci">mat &amp; operator*=(const S &amp;rhs)</div><div class="ttdoc">Multiplies the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:460</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a06df685517471d112eed7411cce6ce70"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a06df685517471d112eed7411cce6ce70">vn::math::mat&lt; 3, 3, T &gt;::dimCol</a></div><div class="ttdeci">size_t dimCol() const </div><div class="ttdoc">The matrix&#39;s column dimension. </div><div class="ttdef"><b>Definition:</b> matrix.h:961</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a6df961fb1e92a52630e0e322c2354de3"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a6df961fb1e92a52630e0e322c2354de3">vn::math::mat&lt; 3, 3, T &gt;::transpose</a></div><div class="ttdeci">mat&lt; 3, 3, T &gt; transpose() const </div><div class="ttdoc">Transposes the matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:1042</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a580240bf4dc9278e0126dd7e615908be"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a580240bf4dc9278e0126dd7e615908be">vn::math::mat&lt; 2, 2, T &gt;::e01</a></div><div class="ttdeci">T e01</div><div class="ttdoc">Element 0,1. </div><div class="ttdef"><b>Definition:</b> matrix.h:342</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a69e7e6acf94926bea46e564d7d27f5a3"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a69e7e6acf94926bea46e564d7d27f5a3">vn::math::mat&lt; 3, 3, T &gt;::zero</a></div><div class="ttdeci">static mat zero()</div><div class="ttdoc">Matrix with all of its elements set to 0. </div><div class="ttdef"><b>Definition:</b> matrix.h:778</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_adb348a0368e6c771291383b46a1a393b"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#adb348a0368e6c771291383b46a1a393b">vn::math::mat&lt; 2, 2, T &gt;::mat</a></div><div class="ttdeci">mat(vec&lt; 2, T &gt; col0, vec&lt; 2, T &gt; col1)</div><div class="ttdoc">Constructs a matrix from 4 column vectors. </div><div class="ttdef"><b>Definition:</b> matrix.h:386</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_a0dea9a1cc44ddc558733ebbb0c43e031"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#a0dea9a1cc44ddc558733ebbb0c43e031">vn::math::mat::dimCol</a></div><div class="ttdeci">size_t dimCol() const </div><div class="ttdoc">The matrix&#39;s column dimension. </div><div class="ttdef"><b>Definition:</b> matrix.h:222</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a3ac4489ea429fd900d61cfb8fb968688"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a3ac4489ea429fd900d61cfb8fb968688">vn::math::mat&lt; 4, 4, T &gt;::one</a></div><div class="ttdeci">static mat one()</div><div class="ttdoc">Matrix with all of its elements set to 1. </div><div class="ttdef"><b>Definition:</b> matrix.h:1200</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_ae4aa323bcff0449c0a4b1090241b1bb6"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ae4aa323bcff0449c0a4b1090241b1bb6">vn::math::mat&lt; 4, 4, T &gt;::e11</a></div><div class="ttdeci">T e11</div><div class="ttdoc">Element 1,1. </div><div class="ttdef"><b>Definition:</b> matrix.h:1087</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_ab28235e91cf0cf0dccf04ce5def3368f"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ab28235e91cf0cf0dccf04ce5def3368f">vn::math::mat&lt; 3, 3, T &gt;::e10</a></div><div class="ttdeci">T e10</div><div class="ttdoc">Element 1,0. </div><div class="ttdef"><b>Definition:</b> matrix.h:693</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_ad787d0b22c792da3964b34bc8b1ace60"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#ad787d0b22c792da3964b34bc8b1ace60">vn::math::mat::transpose</a></div><div class="ttdeci">mat&lt; n, m, T &gt; transpose() const </div><div class="ttdoc">Transposes the matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:296</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a3205d5e846b0766eafe2d441d8d497c1"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a3205d5e846b0766eafe2d441d8d497c1">vn::math::mat&lt; 3, 3, T &gt;::mat</a></div><div class="ttdeci">mat(T e00v, T e01v, T e02v, T e10v, T e11v, T e12v, T e20v, T e21v, T e22v)</div><div class="ttdoc">Creates a new matrix with its components intialized to the provided values. </div><div class="ttdef"><b>Definition:</b> matrix.h:749</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a12be75288cc3d03cb0bec0af3bf75991"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a12be75288cc3d03cb0bec0af3bf75991">vn::math::mat&lt; 3, 3, T &gt;::e20</a></div><div class="ttdeci">T e20</div><div class="ttdoc">Element 2,0. </div><div class="ttdef"><b>Definition:</b> matrix.h:696</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a788357e9b80130a75bd65b0643e26579"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a788357e9b80130a75bd65b0643e26579">vn::math::mat&lt; 4, 4, T &gt;::operator-=</a></div><div class="ttdeci">mat &amp; operator-=(const mat&lt; 4, 4, S &gt; &amp;rhs)</div><div class="ttdoc">Subtracts a matrix from this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:1353</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a585eab3db396c82847cadf1d028fddda"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a585eab3db396c82847cadf1d028fddda">vn::math::mat&lt; 4, 4, T &gt;::e</a></div><div class="ttdeci">T e[4 *4]</div><div class="ttdoc">The matrix&#39;s elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:1121</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_a0b4b39dc59b688ced2fbf1711b70985c"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#a0b4b39dc59b688ced2fbf1711b70985c">vn::math::mat::operator*=</a></div><div class="ttdeci">mat &amp; operator*=(const S &amp;rhs)</div><div class="ttdoc">Multiplies the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:122</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html"><div class="ttname"><a href="structvn_1_1math_1_1mat.html">vn::math::mat</a></div><div class="ttdoc">Template for a matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:20</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_ab9a33b220af3559e695f56aa68b9bd12"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ab9a33b220af3559e695f56aa68b9bd12">vn::math::mat&lt; 3, 3, T &gt;::e22</a></div><div class="ttdeci">T e22</div><div class="ttdoc">Element 2,2. </div><div class="ttdef"><b>Definition:</b> matrix.h:714</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a6eba975e004366ee55e6aef182a27b84"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a6eba975e004366ee55e6aef182a27b84">vn::math::mat&lt; 2, 2, T &gt;::dimCol</a></div><div class="ttdeci">size_t dimCol() const </div><div class="ttdoc">The matrix&#39;s column dimension. </div><div class="ttdef"><b>Definition:</b> matrix.h:579</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_aca75ac57b5a84a70ecf953d3a8366a57"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#aca75ac57b5a84a70ecf953d3a8366a57">vn::math::mat::sub</a></div><div class="ttdeci">mat sub(const mat &amp;toSub) const </div><div class="ttdoc">Subtracts a matrix from this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:283</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_ad9e4d2a5b5b80c49086451728133fc66"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#ad9e4d2a5b5b80c49086451728133fc66">vn::math::mat&lt; 2, 2, T &gt;::mult</a></div><div class="ttdeci">mat mult(const double &amp;scalar) const </div><div class="ttdoc">Multiplies the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:604</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vn::math::vec&lt; 3, T &gt;</a></div><div class="ttdoc">Vector with 3 component specialization. </div><div class="ttdef"><b>Definition:</b> vector.h:551</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a7b1db4664290416a84e27cb719218fc9"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a7b1db4664290416a84e27cb719218fc9">vn::math::mat&lt; 4, 4, T &gt;::e10</a></div><div class="ttdeci">T e10</div><div class="ttdoc">Element 1,0. </div><div class="ttdef"><b>Definition:</b> matrix.h:1075</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_af0b00078586a1afddaa434b7b8080f4d"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#af0b00078586a1afddaa434b7b8080f4d">vn::math::mat&lt; 2, 2, T &gt;::mat</a></div><div class="ttdeci">mat(T val)</div><div class="ttdoc">Creates a new matrix with its elements initialized to val. </div><div class="ttdef"><b>Definition:</b> matrix.h:362</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a664778722219d1db15cb3ee3a47be615"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a664778722219d1db15cb3ee3a47be615">vn::math::mat&lt; 3, 3, T &gt;::operator/=</a></div><div class="ttdeci">mat &amp; operator/=(const S &amp;rhs)</div><div class="ttdoc">Divides the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:904</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a4d8e840419b20e3d00dd1154270daffa"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a4d8e840419b20e3d00dd1154270daffa">vn::math::mat&lt; 3, 3, T &gt;::e00</a></div><div class="ttdeci">T e00</div><div class="ttdoc">Element 0,0. </div><div class="ttdef"><b>Definition:</b> matrix.h:690</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_ace356b1308ae2d5bc233227359ac67db"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ace356b1308ae2d5bc233227359ac67db">vn::math::mat&lt; 3, 3, T &gt;::mat</a></div><div class="ttdeci">mat()</div><div class="ttdoc">Creates a new matrix with uninitialized elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:726</div></div>
<div class="ttc" id="exceptions_8h_html"><div class="ttname"><a href="exceptions_8h.html">exceptions.h</a></div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a2122e7fda13dca226674668374d766e0"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a2122e7fda13dca226674668374d766e0">vn::math::mat&lt; 2, 2, T &gt;::dimRow</a></div><div class="ttdeci">size_t dimRow() const </div><div class="ttdoc">The matrix&#39;s row dimension. </div><div class="ttdef"><b>Definition:</b> matrix.h:573</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a97667a91201f3c607fa4de8e80230271"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a97667a91201f3c607fa4de8e80230271">vn::math::mat&lt; 4, 4, T &gt;::e30</a></div><div class="ttdeci">T e30</div><div class="ttdoc">Element 3,0. </div><div class="ttdef"><b>Definition:</b> matrix.h:1081</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a320f0a6c6e3af2d33a5196bd1d48d66c"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a320f0a6c6e3af2d33a5196bd1d48d66c">vn::math::mat&lt; 4, 4, T &gt;::dimRow</a></div><div class="ttdeci">size_t dimRow() const </div><div class="ttdoc">The matrix&#39;s row dimension. </div><div class="ttdef"><b>Definition:</b> matrix.h:1368</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_aac616f62effb0b99bb03111b169982b3"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#aac616f62effb0b99bb03111b169982b3">vn::math::mat::add</a></div><div class="ttdeci">mat add(const mat &amp;toAdd) const </div><div class="ttdoc">Adds a matrix to this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:269</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_aacd1c82db2ef9ef33072e6c4c4cfeb10"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#aacd1c82db2ef9ef33072e6c4c4cfeb10">vn::math::mat&lt; 2, 2, T &gt;::sub</a></div><div class="ttdeci">mat sub(const mat &amp;toSub) const </div><div class="ttdoc">Subtracts a matrix from this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:646</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_abfbe554859e04acd848a813ac3096f60"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#abfbe554859e04acd848a813ac3096f60">vn::math::mat&lt; 3, 3, T &gt;::operator()</a></div><div class="ttdeci">const T &amp; operator()(size_t row, size_t col) const </div><div class="ttdoc">Indexing into the matrix&#39;s elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:821</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_abaa88f25a934422da622d02b6ef3924b"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#abaa88f25a934422da622d02b6ef3924b">vn::math::mat&lt; 2, 2, T &gt;::operator+=</a></div><div class="ttdeci">mat &amp; operator+=(const mat&lt; 2, 2, S &gt; &amp;rhs)</div><div class="ttdoc">Adds a matrix to this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:545</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a3a793563cec513ce57addfa992531497"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a3a793563cec513ce57addfa992531497">vn::math::mat&lt; 3, 3, T &gt;::one</a></div><div class="ttdeci">static mat one()</div><div class="ttdoc">Matrix with all of its elements set to 1. </div><div class="ttdef"><b>Definition:</b> matrix.h:786</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a238c7a4cb099d3b46218506bb25c746b"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a238c7a4cb099d3b46218506bb25c746b">vn::math::mat&lt; 2, 2, T &gt;::operator*=</a></div><div class="ttdeci">mat &amp; operator*=(const mat&lt; 2, 2, S &gt; &amp;rhs)</div><div class="ttdoc">Multiplies the matrix by another matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:484</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_acfc85671f26c73cc82e9caa95182c830"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#acfc85671f26c73cc82e9caa95182c830">vn::math::mat::operator-</a></div><div class="ttdeci">mat operator-() const </div><div class="ttdoc">Negates the matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:112</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a160d158b35c685d268de323b34af8a08"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a160d158b35c685d268de323b34af8a08">vn::math::mat&lt; 4, 4, T &gt;::e20</a></div><div class="ttdeci">T e20</div><div class="ttdoc">Element 2,0. </div><div class="ttdef"><b>Definition:</b> matrix.h:1078</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_ac55afe3e42206bd540d321d1969978ce"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#ac55afe3e42206bd540d321d1969978ce">vn::math::mat&lt; 2, 2, T &gt;::div</a></div><div class="ttdeci">mat div(const double &amp;scalar) const </div><div class="ttdoc">Divides the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:618</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a7556a4b90a3290e1ac45b962094cccf7"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a7556a4b90a3290e1ac45b962094cccf7">vn::math::mat&lt; 4, 4, T &gt;::operator*=</a></div><div class="ttdeci">mat &amp; operator*=(const S &amp;rhs)</div><div class="ttdoc">Multiplies the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:1255</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_ad6f53bc3d0f864e9215adddc16b07466"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ad6f53bc3d0f864e9215adddc16b07466">vn::math::mat&lt; 4, 4, T &gt;::dimCol</a></div><div class="ttdeci">size_t dimCol() const </div><div class="ttdoc">The matrix&#39;s column dimension. </div><div class="ttdef"><b>Definition:</b> matrix.h:1373</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a8c01a0feb3fa0e3e3b8ee2cb79ff472f"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a8c01a0feb3fa0e3e3b8ee2cb79ff472f">vn::math::mat&lt; 2, 2, T &gt;::neg</a></div><div class="ttdeci">mat neg() const </div><div class="ttdoc">Negates the matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:590</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_ab9dbfb002fba35a1a5a1fd1e2ee624bb"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#ab9dbfb002fba35a1a5a1fd1e2ee624bb">vn::math::mat::div</a></div><div class="ttdeci">mat div(const double &amp;scalar) const </div><div class="ttdoc">Divides the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:255</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_addb7a994636c49eb653ec7b18b74d36f"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#addb7a994636c49eb653ec7b18b74d36f">vn::math::mat&lt; 4, 4, T &gt;::e22</a></div><div class="ttdeci">T e22</div><div class="ttdoc">Element 2,2. </div><div class="ttdef"><b>Definition:</b> matrix.h:1102</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a9ea742508e579446ef6aa7e2b36fb108"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a9ea742508e579446ef6aa7e2b36fb108">vn::math::mat&lt; 3, 3, T &gt;::e</a></div><div class="ttdeci">T e[3 *3]</div><div class="ttdoc">The matrix&#39;s elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:718</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a3b6f6c676f671f071219914009f2111a"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a3b6f6c676f671f071219914009f2111a">vn::math::mat&lt; 4, 4, T &gt;::e13</a></div><div class="ttdeci">T e13</div><div class="ttdoc">Element 1,3. </div><div class="ttdef"><b>Definition:</b> matrix.h:1111</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_af6dceaaba285776624f5cbfadbcefff4"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#af6dceaaba285776624f5cbfadbcefff4">vn::math::mat&lt; 2, 2, T &gt;::e00</a></div><div class="ttdeci">T e00</div><div class="ttdoc">Element 0,0. </div><div class="ttdef"><b>Definition:</b> matrix.h:336</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a2e2d845104cbe16b22a3f5c95e656b50"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a2e2d845104cbe16b22a3f5c95e656b50">vn::math::mat&lt; 4, 4, T &gt;::operator+=</a></div><div class="ttdeci">mat &amp; operator+=(const mat&lt; 4, 4, S &gt; &amp;rhs)</div><div class="ttdoc">Adds a matrix to this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:1340</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_aea16b0c50572da519bfeebfcf0a84040"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#aea16b0c50572da519bfeebfcf0a84040">vn::math::mat&lt; 4, 4, T &gt;::e31</a></div><div class="ttdeci">T e31</div><div class="ttdoc">Element 3,1. </div><div class="ttdef"><b>Definition:</b> matrix.h:1093</div></div>
<div class="ttc" id="vector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_aa18c2d80bfc05656b3763f0b02c590cc"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#aa18c2d80bfc05656b3763f0b02c590cc">vn::math::mat::one</a></div><div class="ttdeci">static mat one()</div><div class="ttdoc">Matrix with all of its elements set to 1. </div><div class="ttdef"><b>Definition:</b> matrix.h:62</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a33d6bb061022c77f97bc7090f5fbd070"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a33d6bb061022c77f97bc7090f5fbd070">vn::math::mat&lt; 4, 4, T &gt;::transpose</a></div><div class="ttdeci">mat&lt; 4, 4, T &gt; transpose() const </div><div class="ttdoc">Transposes the matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:1455</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a4cb2a0a451a7f7600760be5042ed3bcd"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a4cb2a0a451a7f7600760be5042ed3bcd">vn::math::mat&lt; 4, 4, T &gt;::e00</a></div><div class="ttdeci">T e00</div><div class="ttdoc">Element 0,0. </div><div class="ttdef"><b>Definition:</b> matrix.h:1072</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_ab473a41d83beb1ca47845f4411ddc894"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#ab473a41d83beb1ca47845f4411ddc894">vn::math::mat&lt; 3, 3, T &gt;::sub</a></div><div class="ttdeci">mat sub(const mat &amp;toSub) const </div><div class="ttdoc">Subtracts a matrix from this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:1029</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_aad305b58e9764905ea2bd6a240a2ed29"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#aad305b58e9764905ea2bd6a240a2ed29">vn::math::mat&lt; 3, 3, T &gt;::e11</a></div><div class="ttdeci">T e11</div><div class="ttdoc">Element 1,1. </div><div class="ttdef"><b>Definition:</b> matrix.h:702</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_ace4e476b5b5ec76788a3c84fbdaa946e"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#ace4e476b5b5ec76788a3c84fbdaa946e">vn::math::mat::mat</a></div><div class="ttdeci">mat()</div><div class="ttdoc">Creates a new matrix with uninitialized elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:37</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a35757345f277a55545b78b6594564a95"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a35757345f277a55545b78b6594564a95">vn::math::mat&lt; 4, 4, T &gt;::mat</a></div><div class="ttdeci">mat(vec&lt; 4, T &gt; col0, vec&lt; 4, T &gt; col1, vec&lt; 4, T &gt; col2, vec&lt; 4, T &gt; col3)</div><div class="ttdoc">Constructs a matrix from 4 column vectors. </div><div class="ttdef"><b>Definition:</b> matrix.h:1176</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a7b05dcf3732a2451ee506a755eb31433"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a7b05dcf3732a2451ee506a755eb31433">vn::math::mat&lt; 3, 3, T &gt;::operator-</a></div><div class="ttdeci">mat operator-() const </div><div class="ttdoc">Negates the matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:831</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a6b5121ced8f57790467149a338fcd209"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a6b5121ced8f57790467149a338fcd209">vn::math::mat&lt; 3, 3, T &gt;::operator-=</a></div><div class="ttdeci">mat &amp; operator-=(const mat&lt; 3, 3, S &gt; &amp;rhs)</div><div class="ttdoc">Subtracts a matrix from this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:941</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_a0bd3e279dee022062e9439d292a6d1ce"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#a0bd3e279dee022062e9439d292a6d1ce">vn::math::mat::mat</a></div><div class="ttdeci">mat(T val)</div><div class="ttdoc">Creates a new matrix with ints elements initialized to val. </div><div class="ttdef"><b>Definition:</b> matrix.h:42</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_a9ff3a4ba3b4515aabc26805e13b2ca0a"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#a9ff3a4ba3b4515aabc26805e13b2ca0a">vn::math::mat::operator*</a></div><div class="ttdeci">mat &amp; operator*(const mat&lt; r, s, S &gt; &amp;rhs)</div><div class="ttdoc">Multiplies the matrix by another matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:135</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a9db65ce957cb8ea1edbe674ab90f6402"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a9db65ce957cb8ea1edbe674ab90f6402">vn::math::mat&lt; 2, 2, T &gt;::e10</a></div><div class="ttdeci">T e10</div><div class="ttdoc">Element 1,0. </div><div class="ttdef"><b>Definition:</b> matrix.h:339</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a88ea1a78d9cbf9cf745f834ef37c67c7"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a88ea1a78d9cbf9cf745f834ef37c67c7">vn::math::mat&lt; 2, 2, T &gt;::zero</a></div><div class="ttdeci">static mat zero()</div><div class="ttdoc">Matrix with all of its elements set to 0. </div><div class="ttdef"><b>Definition:</b> matrix.h:398</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_aeda3112f2f4de7e4805dacc6adf4eea7"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#aeda3112f2f4de7e4805dacc6adf4eea7">vn::math::mat::neg</a></div><div class="ttdeci">mat neg() const </div><div class="ttdoc">Negates the matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:227</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_aec1325cf85807d0ba29dd4bd036c565c"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#aec1325cf85807d0ba29dd4bd036c565c">vn::math::mat&lt; 2, 2, T &gt;::operator-=</a></div><div class="ttdeci">mat &amp; operator-=(const mat&lt; 2, 2, S &gt; &amp;rhs)</div><div class="ttdoc">Subtracts a matrix from this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:558</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_ad54a7a0522f87c6a3d1f55ae278b1992"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#ad54a7a0522f87c6a3d1f55ae278b1992">vn::math::mat&lt; 2, 2, T &gt;::e</a></div><div class="ttdeci">T e[2 *2]</div><div class="ttdoc">The matrix&#39;s elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:349</div></div>
<div class="ttc" id="namespacevn_html"><div class="ttname"><a href="namespacevn.html">vn</a></div><div class="ttdef"><b>Definition:</b> attitude.h:8</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_aac0e1653743affa9b0058625a773a3ab"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#aac0e1653743affa9b0058625a773a3ab">vn::math::mat&lt; 4, 4, T &gt;::operator()</a></div><div class="ttdeci">T &amp; operator()(size_t row, size_t col)</div><div class="ttdoc">Indexing into the matrix&#39;s elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:1225</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_a47cb70b573e670c787b9723fdc132fd4"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#a47cb70b573e670c787b9723fdc132fd4">vn::math::mat::operator()</a></div><div class="ttdeci">const T &amp; operator()(size_t row, size_t col) const </div><div class="ttdoc">Indexing into the matrix&#39;s elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:101</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a4fe2d018e4c014b5182e833d7af50cc3"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a4fe2d018e4c014b5182e833d7af50cc3">vn::math::mat&lt; 3, 3, T &gt;::mat</a></div><div class="ttdeci">mat(T val)</div><div class="ttdoc">Creates a new matrix with its elements initialized to val. </div><div class="ttdef"><b>Definition:</b> matrix.h:731</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_a6c8d15a8cff92e6775e965f918389c50"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#a6c8d15a8cff92e6775e965f918389c50">vn::math::mat::identity</a></div><div class="ttdeci">static mat&lt; m, m, T &gt; identity()</div><div class="ttdoc">Identity matrix with its diagonal elements set to 1. </div><div class="ttdef"><b>Definition:</b> matrix.h:70</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html">vn::math::vec&lt; 2, T &gt;</a></div><div class="ttdoc">Vector with 2 component specialization. </div><div class="ttdef"><b>Definition:</b> vector.h:279</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a494f025d33e99620b2aa4d98b82631a9"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a494f025d33e99620b2aa4d98b82631a9">vn::math::mat&lt; 4, 4, T &gt;::e23</a></div><div class="ttdeci">T e23</div><div class="ttdoc">Element 2,3. </div><div class="ttdef"><b>Definition:</b> matrix.h:1114</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html">vn::math::mat&lt; 4, 4, T &gt;</a></div><div class="ttdoc">4x4 matrix specialization. </div><div class="ttdef"><b>Definition:</b> matrix.h:1060</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_ab73f8c96769df1ec98423229f4a93787"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ab73f8c96769df1ec98423229f4a93787">vn::math::mat&lt; 4, 4, T &gt;::mat</a></div><div class="ttdeci">mat()</div><div class="ttdoc">Creates a new matrix with uninitialized elements. </div><div class="ttdef"><b>Definition:</b> matrix.h:1129</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a0fc97b2274117456daf455fd0b938224"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a0fc97b2274117456daf455fd0b938224">vn::math::mat&lt; 4, 4, T &gt;::mat</a></div><div class="ttdeci">mat(T e00v, T e01v, T e02v, T e03v, T e10v, T e11v, T e12v, T e13v, T e20v, T e21v, T e22v, T e23v, T e30v, T e31v, T e32v, T e33v)</div><div class="ttdoc">Creates a new matrix with its components intialized to the provided values. </div><div class="ttdef"><b>Definition:</b> matrix.h:1160</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_a365682f7b6a6e03fb5924d002b4dce77"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#a365682f7b6a6e03fb5924d002b4dce77">vn::math::mat::dimRow</a></div><div class="ttdeci">size_t dimRow() const </div><div class="ttdoc">The matrix&#39;s row dimension. </div><div class="ttdef"><b>Definition:</b> matrix.h:217</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_ab75edfa8fd23a377175b94bfab29bb2d"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ab75edfa8fd23a377175b94bfab29bb2d">vn::math::mat&lt; 4, 4, T &gt;::e32</a></div><div class="ttdeci">T e32</div><div class="ttdoc">Element 3,2. </div><div class="ttdef"><b>Definition:</b> matrix.h:1105</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_ad1b2ab2c2617f19eb54e3e24ddc7c7c9"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#ad1b2ab2c2617f19eb54e3e24ddc7c7c9">vn::math::mat&lt; 4, 4, T &gt;::mat</a></div><div class="ttdeci">mat(T val)</div><div class="ttdoc">Creates a new matrix with its elements initialized to val. </div><div class="ttdef"><b>Definition:</b> matrix.h:1134</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a81db3dd28b990f79d59c3f1b7c053d64"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a81db3dd28b990f79d59c3f1b7c053d64">vn::math::mat&lt; 3, 3, T &gt;::mult</a></div><div class="ttdeci">mat mult(const double &amp;scalar) const </div><div class="ttdoc">Multiplies the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:987</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a3c8ae46c1918730167ec0ac64695f3f8"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a3c8ae46c1918730167ec0ac64695f3f8">vn::math::mat&lt; 4, 4, T &gt;::operator/=</a></div><div class="ttdeci">mat &amp; operator/=(const S &amp;rhs)</div><div class="ttdoc">Divides the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:1316</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_aca866a867591e32ec471bfcaf9e49679"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#aca866a867591e32ec471bfcaf9e49679">vn::math::mat::mult</a></div><div class="ttdeci">mat mult(const double &amp;scalar) const </div><div class="ttdoc">Multiplies the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:241</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_aec5547714a60f7ef366997924af39f54"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#aec5547714a60f7ef366997924af39f54">vn::math::mat&lt; 4, 4, T &gt;::neg</a></div><div class="ttdeci">mat neg() const </div><div class="ttdoc">Negates the matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:1384</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a8d02aa67a794f284e779e41b9524aa77"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a8d02aa67a794f284e779e41b9524aa77">vn::math::mat&lt; 4, 4, T &gt;::zero</a></div><div class="ttdeci">static mat zero()</div><div class="ttdoc">Matrix with all of its elements set to 0. </div><div class="ttdef"><b>Definition:</b> matrix.h:1192</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_a74dce7276c1bee90560e71694e4d0f32"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#a74dce7276c1bee90560e71694e4d0f32">vn::math::mat::zero</a></div><div class="ttdeci">static mat zero()</div><div class="ttdoc">Matrix with all of its elements set to 0. </div><div class="ttdef"><b>Definition:</b> matrix.h:54</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4_html_a288e0d0072597cbae849e96fcddde64d"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_013_00_013_00_01_t_01_4.html#a288e0d0072597cbae849e96fcddde64d">vn::math::mat&lt; 3, 3, T &gt;::identity</a></div><div class="ttdeci">static mat&lt; 3, 3, T &gt; identity()</div><div class="ttdoc">Identity matrix with its diagonal elements set to 1. </div><div class="ttdef"><b>Definition:</b> matrix.h:794</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a47cedd8429e5bfb37929dd429f2adcde"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a47cedd8429e5bfb37929dd429f2adcde">vn::math::mat&lt; 4, 4, T &gt;::e03</a></div><div class="ttdeci">T e03</div><div class="ttdoc">Element 0,3. </div><div class="ttdef"><b>Definition:</b> matrix.h:1108</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a0c9ddd45ee6d6a338c956bca84ccaa17"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a0c9ddd45ee6d6a338c956bca84ccaa17">vn::math::mat&lt; 2, 2, T &gt;::identity</a></div><div class="ttdeci">static mat&lt; 2, 2, T &gt; identity()</div><div class="ttdoc">Identity matrix with its diagonal elements set to 1. </div><div class="ttdef"><b>Definition:</b> matrix.h:414</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a096db9318c65335205c3bb43fa866ad9"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a096db9318c65335205c3bb43fa866ad9">vn::math::mat&lt; 4, 4, T &gt;::sub</a></div><div class="ttdeci">mat sub(const mat &amp;toSub) const </div><div class="ttdoc">Subtracts a matrix from this matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:1442</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4_html_a4b39fa7eb606461e1bb8cd671ab4f0fa"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_014_00_014_00_01_t_01_4.html#a4b39fa7eb606461e1bb8cd671ab4f0fa">vn::math::mat&lt; 4, 4, T &gt;::operator-</a></div><div class="ttdeci">mat operator-() const </div><div class="ttdoc">Negates the matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:1245</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_html_acd2868d72d893c147adbaa2bc0fa0fd3"><div class="ttname"><a href="structvn_1_1math_1_1mat.html#acd2868d72d893c147adbaa2bc0fa0fd3">vn::math::mat::operator/=</a></div><div class="ttdeci">mat &amp; operator/=(const T &amp;rhs)</div><div class="ttdoc">Divides the matrix by a scalar. </div><div class="ttdef"><b>Definition:</b> matrix.h:176</div></div>
<div class="ttc" id="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4_html_a6b9ac91a9e150f5f947367216e17d0d3"><div class="ttname"><a href="structvn_1_1math_1_1mat_3_012_00_012_00_01_t_01_4.html#a6b9ac91a9e150f5f947367216e17d0d3">vn::math::mat&lt; 2, 2, T &gt;::e11</a></div><div class="ttdeci">T e11</div><div class="ttdoc">Element 1,1. </div><div class="ttdef"><b>Definition:</b> matrix.h:345</div></div>
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