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<div class="title">vector.h</div> </div>
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<a href="vector_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_VECTOR_H_</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="preprocessor">#define _VN_MATH_VECTOR_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;sstream&gt;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="preprocessor">#include &lt;ostream&gt;</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;</div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</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="l00015"></a><span class="lineno"> 15</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="int_8h.html">int.h</a>&quot;</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacevn.html">vn</a> {</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="keyword">namespace </span>math {</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> tdim, <span class="keyword">typename</span> T = <span class="keywordtype">float</span>&gt;</div>
<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html"> 22</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structvn_1_1math_1_1vec.html">vec</a></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="comment">// Public Members /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;</div>
<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f"> 29</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[tdim];</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; <span class="comment">// Constructors ///////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;</div>
<div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3"> 36</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>() { }</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;</div>
<div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#a291d9968d916ef1d94f4ed87294cf797"> 41</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="structvn_1_1math_1_1vec.html#a291d9968d916ef1d94f4ed87294cf797">vec</a>(T val)</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; {</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; std::fill_n(c, tdim, val);</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; }</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; <span class="comment">// Helper Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;</div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#ad3ae4d49b19b516db3f0f0033ce329bf"> 53</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec.html#ad3ae4d49b19b516db3f0f0033ce329bf">zero</a>()</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; {</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec&lt;tdim, T&gt;</a>(0);</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; }</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;</div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#ab4f513fde6dc3422380d56468bc4ed0a"> 61</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec.html#ab4f513fde6dc3422380d56468bc4ed0a">one</a>()</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; {</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec&lt;tdim, T&gt;</a>(1);</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; }</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; <span class="comment">// Operator Overloads /////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;</div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#a2055516a33216b64e3433889638a0021"> 74</a></span>&#160; T&amp; <a class="code" href="structvn_1_1math_1_1vec.html#a2055516a33216b64e3433889638a0021">operator[]</a>(<span class="keywordtype">size_t</span> index)</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">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_1vec.html">vec</a>&amp;<span class="keyword">&gt;</span>(*this)[index]);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; }</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;</div>
<div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#a8b0831d8752c0effcbe421b156d82024"> 83</a></span>&#160; <span class="keyword">const</span> T&amp; <a class="code" href="structvn_1_1math_1_1vec.html#a8b0831d8752c0effcbe421b156d82024">operator[]</a>(<span class="keywordtype">size_t</span> index)<span class="keyword"> const</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; assert(index &lt; tdim);</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <span class="keywordflow">return</span> c[index];</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; }</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;</div>
<div class="line"><a name="l00093"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#acd28c08a289006f53d6872ff2755a9f3"> 93</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec.html#acd28c08a289006f53d6872ff2755a9f3">operator-</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#aed8ac97d844e7e803d1a0536630cc151">neg</a>();</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; }</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;</div>
<div class="line"><a name="l00102"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#a5ba320a180d6cdced1eccd944963b1c4"> 102</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec.html#a5ba320a180d6cdced1eccd944963b1c4">operator+=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; rhs)</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; {</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; tdim; i++)</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; c[i] += rhs.<a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i];</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; }</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;</div>
<div class="line"><a name="l00114"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#aee21374d0dd24875339b3b95a58a65dc"> 114</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec.html#aee21374d0dd24875339b3b95a58a65dc">operator-=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; rhs)</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; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; tdim; i++)</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; c[i] -= rhs.<a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i];</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; }</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160;</div>
<div class="line"><a name="l00126"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#a808d2edb3554510c9ed0256722304606"> 126</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec.html#a808d2edb3554510c9ed0256722304606">operator*=</a>(<span class="keyword">const</span> T&amp; rhs)</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; {</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; tdim; i++)</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; c[i] *= rhs;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; }</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160;</div>
<div class="line"><a name="l00138"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#a10a943d63aeb2a4d09aeca0af4260bc5"> 138</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec.html#a10a943d63aeb2a4d09aeca0af4260bc5">operator/=</a>(<span class="keyword">const</span> T &amp; rhs)</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">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; tdim; i++)</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; c[i] /= rhs;</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="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; }</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="comment">// Public Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160;</div>
<div class="line"><a name="l00153"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#a7e91f29a28bc5ed2bfe58780b1a9f570"> 153</a></span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="structvn_1_1math_1_1vec.html#a7e91f29a28bc5ed2bfe58780b1a9f570">dim</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> tdim; }</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;</div>
<div class="line"><a name="l00158"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#aed8ac97d844e7e803d1a0536630cc151"> 158</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec.html#aed8ac97d844e7e803d1a0536630cc151">neg</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> v;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; tdim; i++)</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; v.<a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i] = -c[i];</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; <span class="keywordflow">return</span> v;</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="l00171"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#a3d62ee03c5842e16a67b62e7c4c11ecc"> 171</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec.html#a3d62ee03c5842e16a67b62e7c4c11ecc">mag</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; T sumOfSquares = 0;</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; tdim; i++)</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; sumOfSquares += c[i] * c[i];</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">return</span> sqrt(sumOfSquares);</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; }</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160;</div>
<div class="line"><a name="l00185"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#af127ba06264e43dabd379b754aa933c1"> 185</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec.html#af127ba06264e43dabd379b754aa933c1">add</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; toAdd)<span class="keyword"> const</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> v;</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160;</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; tdim; i++)</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; v.<a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i] = c[i] + toAdd.<a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i];</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160;</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; <span class="keywordflow">return</span> v;</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;</div>
<div class="line"><a name="l00199"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#a572ebdacc38b8a59d3f59e60b0197cc0"> 199</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec.html#a572ebdacc38b8a59d3f59e60b0197cc0">sub</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; to_sub)<span class="keyword"> const</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> v;</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160;</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; tdim; i++)</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; v.<a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i] = c[i] - to_sub.<a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i];</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; }</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160;</div>
<div class="line"><a name="l00213"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#afce8bd0ea64923bf7f1dea899d69b455"> 213</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec.html#afce8bd0ea64923bf7f1dea899d69b455">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="l00214"></a><span class="lineno"> 214</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> v;</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; tdim; i++)</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; v.<a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i] = c[i] * scalar;</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; }</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160;</div>
<div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#ab4f2ee1cab5f15568c32b2b2585af47d"> 227</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec.html#ab4f2ee1cab5f15568c32b2b2585af47d">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="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_1vec.html">vec</a> v;</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; tdim; i++)</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; v.<a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i] = c[i] / scalar;</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> v;</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="l00240"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#a12ee38e4566aa64fe2dca3f72ff8e9ac"> 240</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec.html#a12ee38e4566aa64fe2dca3f72ff8e9ac">norm</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> v;</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; T m = <a class="code" href="structvn_1_1math_1_1vec.html#a3d62ee03c5842e16a67b62e7c4c11ecc">mag</a>();</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160;</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; tdim; i++)</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; v.<a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i] = c[i] / m;</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160;</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; }</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160;</div>
<div class="line"><a name="l00256"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec.html#a1340abba14bd53b9b884f21b8709ac3d"> 256</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec.html#a1340abba14bd53b9b884f21b8709ac3d">dot</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; rhs)<span class="keyword"> const</span></div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; T runningSum = 0;</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160;</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; tdim; i++)</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; runningSum += c[i] * rhs.<a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i];</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160;</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <span class="keywordflow">return</span> runningSum;</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; }</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160;};</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160;</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160;<span class="comment">// Specializations ////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160;</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160;<span class="preprocessor">#if defined(_MSC_VER)</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></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="comment">// Disable warning about &#39;nonstandard extension used : nameless struct/union&#39;.</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160;<span class="preprocessor"> #pragma warning(disable:4201)</span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160;</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00279"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html"> 279</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&lt;2, T&gt;</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160;{</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160;</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; <span class="comment">// Public Members /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160;</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160;</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; <span class="keyword">union</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; {</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; <span class="keyword">struct</span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; {</div>
<div class="line"><a name="l00291"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a523d625e85f7a50fab373b07dc161818"> 291</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a523d625e85f7a50fab373b07dc161818">x</a>;</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160;</div>
<div class="line"><a name="l00294"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a0494ca391f255b14ddb39d1d0dafc555"> 294</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a0494ca391f255b14ddb39d1d0dafc555">y</a>;</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; };</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160;</div>
<div class="line"><a name="l00298"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a60bfa234aa8857a08ccb54100f5add90"> 298</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[2];</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;</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160; <span class="comment">// Constructors ///////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160;</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160;</div>
<div class="line"><a name="l00306"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#aad4728861bd8b7f751998a85cbe6b074"> 306</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#aad4728861bd8b7f751998a85cbe6b074">vec</a>() { }</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160;</div>
<div class="line"><a name="l00311"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a6b820c683f22047b9a5cfaad4a9787d5"> 311</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a6b820c683f22047b9a5cfaad4a9787d5">vec</a>(T val) : x(val), y(val) { }</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160;</div>
<div class="line"><a name="l00318"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a96239c1e47125a4eb74c62ce631cd532"> 318</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a96239c1e47125a4eb74c62ce631cd532">vec</a>(T x_val, T y_val) : x(x_val), y(y_val) { }</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160;</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; <span class="comment">// Helper Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160;</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160;</div>
<div class="line"><a name="l00327"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a57b334d8fd2516ffd9fed73ef81ff0f1"> 327</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a57b334d8fd2516ffd9fed73ef81ff0f1">zero</a>()</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="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html">vec&lt;2, T&gt;</a>(0);</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;</div>
<div class="line"><a name="l00335"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#ab000b71e0a3c38645f06ab11804b58af"> 335</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#ab000b71e0a3c38645f06ab11804b58af">one</a>()</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; {</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html">vec&lt;2, T&gt;</a>(1);</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; }</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160;</div>
<div class="line"><a name="l00343"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#aef6e45bb99d743171cc7a13cf17b2cb6"> 343</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#aef6e45bb99d743171cc7a13cf17b2cb6">unitX</a>()</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160; {</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html">vec&lt;2, T&gt;</a>(1, 0);</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="l00351"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a2f025e516ad48dde98b61f17a5a63dd2"> 351</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a2f025e516ad48dde98b61f17a5a63dd2">unitY</a>()</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160; {</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html">vec&lt;2, T&gt;</a>(0, 1);</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160; }</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160;</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160;</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160; <span class="comment">// Operator Overloads /////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160;</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160;</div>
<div class="line"><a name="l00365"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a0ed1b3241a62eb45eb1141d7676f6232"> 365</a></span>&#160; T&amp; <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a0ed1b3241a62eb45eb1141d7676f6232">operator[]</a>(<span class="keywordtype">size_t</span> index)</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160; {</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</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_1vec.html">vec</a>&amp;<span class="keyword">&gt;</span>(*this)[index]);</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160; }</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160;</div>
<div class="line"><a name="l00374"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#afba957aff2b47b1d180c9a29a07a65a1"> 374</a></span>&#160; <span class="keyword">const</span> T&amp; <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#afba957aff2b47b1d180c9a29a07a65a1">operator[]</a>(<span class="keywordtype">size_t</span> index)<span class="keyword"> const</span></div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160; assert(index &lt; 2);</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160;</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[index];</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160; }</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>&#160;</div>
<div class="line"><a name="l00384"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#adb419dd7af11bd1aa5fdd796b670b268"> 384</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#adb419dd7af11bd1aa5fdd796b670b268">operator-</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#aed8ac97d844e7e803d1a0536630cc151">neg</a>();</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160; }</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160;</div>
<div class="line"><a name="l00393"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a08eaa640396e4983fb021e78971d496f"> 393</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a08eaa640396e4983fb021e78971d496f">operator+=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; rhs)</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160; {</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160; x += rhs.x;</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160; y += rhs.y;</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160;</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</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;</div>
<div class="line"><a name="l00405"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a7187dcdef3e0574710d8393ec937fd06"> 405</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a7187dcdef3e0574710d8393ec937fd06">operator-=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; rhs)</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160; {</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160; x -= rhs.x;</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160; y -= rhs.y;</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; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160; }</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160;</div>
<div class="line"><a name="l00417"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a8af0998e0dda008c72532412126ac403"> 417</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a8af0998e0dda008c72532412126ac403">operator*=</a>(<span class="keyword">const</span> T&amp; rhs)</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160; {</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160; x *= rhs;</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160; y *= rhs;</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160;</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160; }</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>&#160;</div>
<div class="line"><a name="l00429"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a4778dd84a44c78425e387493a018efac"> 429</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a4778dd84a44c78425e387493a018efac">operator/=</a>(<span class="keyword">const</span> T &amp; rhs)</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>&#160; {</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160; x /= rhs;</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160; y /= rhs;</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; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160; }</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160;</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160; <span class="comment">// Public Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160;</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160;</div>
<div class="line"><a name="l00444"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#abb8a3dc074acb83e61b6e4b444ee2dfc"> 444</a></span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#abb8a3dc074acb83e61b6e4b444ee2dfc">dim</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> 2; }</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160;</div>
<div class="line"><a name="l00449"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a7fa8f86df6ee8097df65e4411de0e9aa"> 449</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a7fa8f86df6ee8097df65e4411de0e9aa">neg</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160; <span class="comment">// TODO: Issue when the underlying type is an unsigned integer.</span></div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160;<span class="preprocessor"> #if defined(_MSC_VER)</span></div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160;<span class="preprocessor"> #pragma warning(disable:4146)</span></div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160;</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(-x, -y);</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160;</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160;<span class="preprocessor"> #if defined (_MSC_VER)</span></div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160; }</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160;</div>
<div class="line"><a name="l00467"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a0a9ed4284264c7fabee8eba2a6e5c2a8"> 467</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a0a9ed4284264c7fabee8eba2a6e5c2a8">mag</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160; <span class="comment">// TODO: Might want this method to return a float even if the underlying</span></div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160; <span class="comment">// data type is integer.</span></div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160;<span class="preprocessor"> #if defined(_MSC_VER)</span></div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160;<span class="preprocessor"> #pragma warning(disable:4244)</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="preprocessor"> #if (defined(_MSC_VER) &amp;&amp; _MSC_VER &lt;= 1600)</span></div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160; <span class="comment">// HACK: Visual Studio 2010 has trouble determining the correct &#39;sqrt&#39;</span></div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160; <span class="comment">// function for the template int32_t.</span></div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160; <span class="keywordflow">return</span> sqrt(static_cast&lt;float&gt;(x*x + y*y));</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160;<span class="preprocessor"> #else</span></div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160; <span class="comment">// HACK:</span></div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>&#160; <span class="keywordflow">return</span> sqrt(static_cast&lt;float&gt;(x*x + y*y));</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160; <span class="comment">//return sqrt(x*x + y*y);</span></div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160;<span class="preprocessor"> #endif</span></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="preprocessor"> #if defined (_MSC_VER)</span></div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160;<span class="preprocessor"> #endif</span></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;</div>
<div class="line"><a name="l00495"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a7898ffc361ad9b87f5f4351e332b3517"> 495</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a7898ffc361ad9b87f5f4351e332b3517">add</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; toAdd)<span class="keyword"> const</span></div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x + toAdd.x, y + toAdd.y);</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;</div>
<div class="line"><a name="l00504"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a7203578b25e219aad984985c4273ffc3"> 504</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a7203578b25e219aad984985c4273ffc3">sub</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; to_sub)<span class="keyword"> const</span></div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x - to_sub.x, y - to_sub.y);</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="l00513"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a000769f82eccabbbc3e187f4f46f2c5c"> 513</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a000769f82eccabbbc3e187f4f46f2c5c">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="l00514"></a><span class="lineno"> 514</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x * scalar, y * scalar);</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160; }</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160;</div>
<div class="line"><a name="l00522"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a781d1efa7dcfcd1f8aabcb1b71162689"> 522</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a781d1efa7dcfcd1f8aabcb1b71162689">div</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; scalar)<span class="keyword"> const</span></div>
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<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x / scalar, y / scalar);</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;</div>
<div class="line"><a name="l00530"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a1e388fe87642b146ace69d6686e46b7f"> 530</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a1e388fe87642b146ace69d6686e46b7f">norm</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>&#160; T m = <a class="code" href="structvn_1_1math_1_1vec.html#a3d62ee03c5842e16a67b62e7c4c11ecc">mag</a>();</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160;</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x / m, y / m);</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160; }</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160;</div>
<div class="line"><a name="l00541"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a31ac83975396b46ead8f0d0d5f044227"> 541</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a31ac83975396b46ead8f0d0d5f044227">dot</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; rhs)<span class="keyword"> const</span></div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160;<span class="keyword"> </span>{</div>
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<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160; }</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160;</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;</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160;</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00551"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html"> 551</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&lt;3, T&gt;</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160;{</div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160;</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>&#160; <span class="comment">// Public Members /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160;</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>&#160;</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>&#160; <span class="keyword">union</span></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="keyword">struct</span></div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>&#160; {</div>
<div class="line"><a name="l00563"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a67adcd3c5ca91a560854cd25683f6fb9"> 563</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a67adcd3c5ca91a560854cd25683f6fb9">x</a>;</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160;</div>
<div class="line"><a name="l00566"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a7ab5252374a617390a644fd64c0a41fd"> 566</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a7ab5252374a617390a644fd64c0a41fd">y</a>;</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160;</div>
<div class="line"><a name="l00569"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#ae9cb63027329f9c2a2a91d0b5fc9b921"> 569</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#ae9cb63027329f9c2a2a91d0b5fc9b921">z</a>;</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>&#160; };</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>&#160;</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160; <span class="keyword">struct</span></div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160; {</div>
<div class="line"><a name="l00575"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a9c92e99ab87305f7e403f8f8d2a6a95d"> 575</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a9c92e99ab87305f7e403f8f8d2a6a95d">r</a>;</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160;</div>
<div class="line"><a name="l00578"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a6bc429f3c1b4c96d292e7f687d234baf"> 578</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a6bc429f3c1b4c96d292e7f687d234baf">g</a>;</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160;</div>
<div class="line"><a name="l00581"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#ab8d81f8d05ea7f966b8e21e74415a149"> 581</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#ab8d81f8d05ea7f966b8e21e74415a149">b</a>;</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160; };</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="comment">// Union of template class with constructor not allowed until C++11.</span></div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160;<span class="preprocessor"> #if __cplusplus &gt;= 201103L</span></div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160;</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160; <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html">vec&lt;2, T&gt;</a> xy;</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160;</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160; </div>
<div class="line"><a name="l00593"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a32872c602adcaaeee4a9fa0a2bdbd737"> 593</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[3];</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160; };</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160;</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160; <span class="comment">// Constructors ///////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160;</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160;</div>
<div class="line"><a name="l00601"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#ace5383e33641ed3f76d2933134a7fb1c"> 601</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#ace5383e33641ed3f76d2933134a7fb1c">vec</a>() { }</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160;</div>
<div class="line"><a name="l00606"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#adbb4bb2a2a74785dfa5f1b757b2a6651"> 606</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#adbb4bb2a2a74785dfa5f1b757b2a6651">vec</a>(T val) : x(val), y(val), z(val) { }</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160;</div>
<div class="line"><a name="l00614"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a09ad2ee49b5d03c73c721e10129f2191"> 614</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a09ad2ee49b5d03c73c721e10129f2191">vec</a>(<span class="keyword">const</span> T&amp; x_val, <span class="keyword">const</span> T&amp; y_val, <span class="keyword">const</span> T&amp; z_val) : x(x_val), y(y_val), z(z_val) { }</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>&#160;</div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>&#160; <span class="comment">// Helper Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>&#160;</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>&#160;</div>
<div class="line"><a name="l00623"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a86383051fe63e38c1760025a4a77205c"> 623</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a86383051fe63e38c1760025a4a77205c">zero</a>()</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> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vec&lt;3, T&gt;</a>(0);</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="l00631"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a5d8108e661be2eacb75540164e896c97"> 631</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a5d8108e661be2eacb75540164e896c97">one</a>()</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>&#160; {</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vec&lt;3, T&gt;</a>(1);</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>&#160; }</div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160;</div>
<div class="line"><a name="l00639"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a8791dab55afa8e463c9517c53565f789"> 639</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a8791dab55afa8e463c9517c53565f789">unitX</a>()</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; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vec&lt;3, T&gt;</a>(1, 0, 0);</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>&#160; }</div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>&#160;</div>
<div class="line"><a name="l00647"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a48b2c5de3e0c8f5737e6011d9630f60c"> 647</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a48b2c5de3e0c8f5737e6011d9630f60c">unitY</a>()</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>&#160; {</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vec&lt;3, T&gt;</a>(0, 1, 0);</div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>&#160; }</div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>&#160;</div>
<div class="line"><a name="l00655"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a2aefc47c36500975e7c773df85897fc2"> 655</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a2aefc47c36500975e7c773df85897fc2">unitZ</a>()</div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>&#160; {</div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vec&lt;3, T&gt;</a>(0, 0, 1);</div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>&#160; }</div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>&#160;</div>
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<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>&#160;</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>&#160;</div>
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<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; <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_1vec.html">vec</a>&amp;<span class="keyword">&gt;</span>(*this)[index]);</div>
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<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>&#160;</div>
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<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>&#160; assert(index &lt; 3);</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="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[index];</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;</div>
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<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#aed8ac97d844e7e803d1a0536630cc151">neg</a>();</div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>&#160; }</div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>&#160;</div>
<div class="line"><a name="l00696"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a8b01c7022405a27b4bf01d4bb145d681"> 696</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a8b01c7022405a27b4bf01d4bb145d681">operator+=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; rhs)</div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>&#160; {</div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 3; i++)</div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i] += rhs.<a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i];</div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>&#160;</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>&#160; }</div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>&#160;</div>
<div class="line"><a name="l00708"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#afa9f80ade39c38a79cf5372bf14b79f9"> 708</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#afa9f80ade39c38a79cf5372bf14b79f9">operator-=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; rhs)</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>&#160; {</div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 3; i++)</div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i] -= rhs.<a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i];</div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>&#160;</div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>&#160; }</div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>&#160;</div>
<div class="line"><a name="l00720"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#af36fdddf5d25cd7ed4719ba0949f80b9"> 720</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#af36fdddf5d25cd7ed4719ba0949f80b9">operator*=</a>(<span class="keyword">const</span> T&amp; rhs)</div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>&#160; {</div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 3; i++)</div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i] *= rhs;</div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>&#160;</div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>&#160; }</div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>&#160;</div>
<div class="line"><a name="l00732"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#afedf8da9f5b68c93196310ec4371467b"> 732</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#afedf8da9f5b68c93196310ec4371467b">operator/=</a>(<span class="keyword">const</span> T &amp; rhs)</div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>&#160; {</div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; 3; i++)</div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[i] /= rhs;</div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>&#160;</div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>&#160; }</div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>&#160;</div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>&#160; <span class="comment">// Public Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>&#160;</div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>&#160;</div>
<div class="line"><a name="l00747"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#afab178880be2049fb8d941d29b95c5d0"> 747</a></span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#afab178880be2049fb8d941d29b95c5d0">dim</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> 3; }</div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>&#160;</div>
<div class="line"><a name="l00752"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#acae5fb518980f6c803f8fd506a3aa6f3"> 752</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#acae5fb518980f6c803f8fd506a3aa6f3">neg</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>&#160; <span class="comment">// TODO: Issue when the underlying type is an unsigned integer.</span></div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>&#160;<span class="preprocessor"> #if defined(_MSC_VER)</span></div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>&#160;<span class="preprocessor"> #pragma warning(disable:4146)</span></div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>&#160;</div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(-x, -y, -z);</div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>&#160;</div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>&#160;<span class="preprocessor"> #if defined (_MSC_VER)</span></div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>&#160; }</div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>&#160;</div>
<div class="line"><a name="l00770"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a19dde276237ef540392eb37cd787babb"> 770</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a19dde276237ef540392eb37cd787babb">mag</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>&#160; <span class="comment">// TODO: Might want this method to return a float even if the underlying</span></div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>&#160; <span class="comment">// data type is integer.</span></div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>&#160;<span class="preprocessor"> #if defined(_MSC_VER)</span></div>
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>&#160;<span class="preprocessor"> #pragma warning(disable:4244)</span></div>
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>&#160;</div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>&#160;<span class="preprocessor"> #if (defined(_MSC_VER) &amp;&amp; _MSC_VER &lt;= 1600)</span></div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>&#160; <span class="comment">// HACK: Visual Studio 2010 has trouble determining the correct &#39;sqrt&#39;</span></div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>&#160; <span class="comment">// function for the template int32_t.</span></div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>&#160; <span class="keywordflow">return</span> sqrt(static_cast&lt;float&gt;(x*x + y*y + z*z));</div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>&#160;<span class="preprocessor"> #else</span></div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>&#160; <span class="comment">// HACK:</span></div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>&#160; <span class="keywordflow">return</span> sqrt(static_cast&lt;float&gt;(x*x + y*y + z*z));</div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>&#160; <span class="comment">//return sqrt(x*x + y*y + z*z);</span></div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>&#160;</div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>&#160;<span class="preprocessor"> #if defined (_MSC_VER)</span></div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>&#160; }</div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>&#160;</div>
<div class="line"><a name="l00798"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a59c4ce42dd1bbeb99a4887482992810c"> 798</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a59c4ce42dd1bbeb99a4887482992810c">add</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; toAdd)<span class="keyword"> const</span></div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x + toAdd.x, y + toAdd.y, z + toAdd.z);</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;</div>
<div class="line"><a name="l00807"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#af84c954df7013c3fa7f0800517b419f0"> 807</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#af84c954df7013c3fa7f0800517b419f0">sub</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; to_sub)<span class="keyword"> const</span></div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x - to_sub.x, y - to_sub.y, z - to_sub.z);</div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>&#160; }</div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>&#160;</div>
<div class="line"><a name="l00816"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a880b304fc700008c5ec0a2a15b65d2e2"> 816</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a880b304fc700008c5ec0a2a15b65d2e2">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="l00817"></a><span class="lineno"> 817</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x * scalar, y * scalar, z * scalar);</div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>&#160; }</div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>&#160;</div>
<div class="line"><a name="l00825"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#aae6ffbdc9233aab4a517fad139b83a48"> 825</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#aae6ffbdc9233aab4a517fad139b83a48">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="l00826"></a><span class="lineno"> 826</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x / scalar, y / scalar, z / scalar);</div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>&#160; }</div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>&#160;</div>
<div class="line"><a name="l00833"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a0b6fac5d456706c73b23ab300913a15d"> 833</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a0b6fac5d456706c73b23ab300913a15d">norm</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>&#160; T m = <a class="code" href="structvn_1_1math_1_1vec.html#a3d62ee03c5842e16a67b62e7c4c11ecc">mag</a>();</div>
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span>&#160;</div>
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x / m, y / m, z / m);</div>
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span>&#160; }</div>
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span>&#160;</div>
<div class="line"><a name="l00844"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a1cd116cc36514e2ec5db1a5587a7de32"> 844</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a1cd116cc36514e2ec5db1a5587a7de32">dot</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; rhs)<span class="keyword"> const</span></div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>&#160; <span class="keywordflow">return</span> x*rhs.x + y*rhs.y + z*rhs.z;</div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>&#160; }</div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>&#160;</div>
<div class="line"><a name="l00854"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a8495a19d7d33a815c0178708fbfa3a84"> 854</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vec&lt;3, T&gt;</a> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a8495a19d7d33a815c0178708fbfa3a84">cross</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vec&lt;3, T&gt;</a>&amp; rhs)<span class="keyword"> const</span></div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>&#160; <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vec&lt;3, T&gt;</a> v;</div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>&#160;</div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>&#160; v.<a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a32872c602adcaaeee4a9fa0a2bdbd737">c</a>[0] = <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[1] * rhs.<a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a32872c602adcaaeee4a9fa0a2bdbd737">c</a>[2] - <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[2] * rhs.<a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a32872c602adcaaeee4a9fa0a2bdbd737">c</a>[1];</div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>&#160; v.<a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a32872c602adcaaeee4a9fa0a2bdbd737">c</a>[1] = <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[2] * rhs.<a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a32872c602adcaaeee4a9fa0a2bdbd737">c</a>[0] - <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[0] * rhs.<a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a32872c602adcaaeee4a9fa0a2bdbd737">c</a>[2];</div>
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span>&#160; v.<a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a32872c602adcaaeee4a9fa0a2bdbd737">c</a>[2] = <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[0] * rhs.<a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a32872c602adcaaeee4a9fa0a2bdbd737">c</a>[1] - <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[1] * rhs.<a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a32872c602adcaaeee4a9fa0a2bdbd737">c</a>[0];</div>
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>&#160;</div>
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span>&#160; <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span>&#160; }</div>
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>&#160;</div>
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span>&#160;};</div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>&#160;</div>
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00869"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html"> 869</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&lt;4, T&gt;</div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>&#160;{</div>
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>&#160;</div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>&#160; <span class="comment">// Public Members /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>&#160;</div>
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>&#160;<span class="keyword">public</span>:</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="keyword">union</span></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; <span class="keyword">struct</span></div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>&#160; {</div>
<div class="line"><a name="l00881"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#afff9854cc12cf9998878b53bb134a703"> 881</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#afff9854cc12cf9998878b53bb134a703">x</a>;</div>
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>&#160;</div>
<div class="line"><a name="l00884"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#aa30167f2b490619b7ca400b96cccb494"> 884</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#aa30167f2b490619b7ca400b96cccb494">y</a>;</div>
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span>&#160;</div>
<div class="line"><a name="l00887"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#aa7c2e0636c55491ebf4917166f5ce60e"> 887</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#aa7c2e0636c55491ebf4917166f5ce60e">z</a>;</div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>&#160;</div>
<div class="line"><a name="l00890"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a144d72b7337bfca296a08af9a43ec650"> 890</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a144d72b7337bfca296a08af9a43ec650">w</a>;</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;</div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>&#160; <span class="keyword">struct</span></div>
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>&#160; {</div>
<div class="line"><a name="l00896"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a8cdc3e7a6e3dde7c7bd8e7718bee3785"> 896</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a8cdc3e7a6e3dde7c7bd8e7718bee3785">r</a>;</div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>&#160;</div>
<div class="line"><a name="l00899"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a046fd5654dd9245d9e0e4340fc9a14a8"> 899</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a046fd5654dd9245d9e0e4340fc9a14a8">g</a>;</div>
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>&#160;</div>
<div class="line"><a name="l00902"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a76f64e6c0b33d3113829a33f40c36763"> 902</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a76f64e6c0b33d3113829a33f40c36763">b</a>;</div>
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span>&#160;</div>
<div class="line"><a name="l00905"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a5d98f461d175aa7345217d98e4c31fd1"> 905</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a5d98f461d175aa7345217d98e4c31fd1">a</a>;</div>
<div class="line"><a name="l00906"></a><span class="lineno"> 906</span>&#160; };</div>
<div class="line"><a name="l00907"></a><span class="lineno"> 907</span>&#160;</div>
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span>&#160; <span class="comment">// Union of template class with constructor not allowed until C++11.</span></div>
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span>&#160;<span class="preprocessor"> #if __cplusplus &gt;= 201103L</span></div>
<div class="line"><a name="l00910"></a><span class="lineno"> 910</span>&#160;</div>
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span>&#160; <a class="code" href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html">vec&lt;2, T&gt;</a> xy;</div>
<div class="line"><a name="l00913"></a><span class="lineno"> 913</span>&#160;</div>
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span>&#160; <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vec&lt;3, T&gt;</a> xyz;</div>
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span>&#160;</div>
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span>&#160; <a class="code" href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html">vec&lt;3, T&gt;</a> rgb;</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="preprocessor"> #endif</span></div>
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span>&#160;</div>
<div class="line"><a name="l00923"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#aaa2dfc5257eef991ed55dc734b9b5e90"> 923</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[4];</div>
<div class="line"><a name="l00924"></a><span class="lineno"> 924</span>&#160; };</div>
<div class="line"><a name="l00925"></a><span class="lineno"> 925</span>&#160;</div>
<div class="line"><a name="l00926"></a><span class="lineno"> 926</span>&#160; <span class="comment">// Constructors ///////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00927"></a><span class="lineno"> 927</span>&#160;</div>
<div class="line"><a name="l00928"></a><span class="lineno"> 928</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span>&#160;</div>
<div class="line"><a name="l00931"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a5f13a59bd9d5a1337debd32a55a5d8a1"> 931</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a5f13a59bd9d5a1337debd32a55a5d8a1">vec</a>() { }</div>
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span>&#160;</div>
<div class="line"><a name="l00936"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a0447ad1ea05f6cb42562144a538abc04"> 936</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a0447ad1ea05f6cb42562144a538abc04">vec</a>(T val) : x(val), y(val), z(val), w(val) { }</div>
<div class="line"><a name="l00937"></a><span class="lineno"> 937</span>&#160;</div>
<div class="line"><a name="l00945"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a7ba594767dd02a2469e6477f06b2ebb8"> 945</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a7ba594767dd02a2469e6477f06b2ebb8">vec</a>(T x_val, T y_val, T z_val, T w_val) : x(x_val), y(y_val), z(z_val), w(w_val) { }</div>
<div class="line"><a name="l00946"></a><span class="lineno"> 946</span>&#160;</div>
<div class="line"><a name="l00947"></a><span class="lineno"> 947</span>&#160; <span class="comment">// Helper Methods /////////////////////////////////////////////////////////</span></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="keyword">public</span>:</div>
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span>&#160;</div>
<div class="line"><a name="l00954"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#aadc17fc04d12858f6bca28464377224f"> 954</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#aadc17fc04d12858f6bca28464377224f">zero</a>()</div>
<div class="line"><a name="l00955"></a><span class="lineno"> 955</span>&#160; {</div>
<div class="line"><a name="l00956"></a><span class="lineno"> 956</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html">vec&lt;4, T&gt;</a>(0);</div>
<div class="line"><a name="l00957"></a><span class="lineno"> 957</span>&#160; }</div>
<div class="line"><a name="l00958"></a><span class="lineno"> 958</span>&#160;</div>
<div class="line"><a name="l00962"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a413b82e10bb88a349819499b02cf8dee"> 962</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a413b82e10bb88a349819499b02cf8dee">one</a>()</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="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html">vec&lt;4, T&gt;</a>(1);</div>
<div class="line"><a name="l00965"></a><span class="lineno"> 965</span>&#160; }</div>
<div class="line"><a name="l00966"></a><span class="lineno"> 966</span>&#160;</div>
<div class="line"><a name="l00970"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ad8d844208993c6f1a8f26b413720fdc0"> 970</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ad8d844208993c6f1a8f26b413720fdc0">unitX</a>()</div>
<div class="line"><a name="l00971"></a><span class="lineno"> 971</span>&#160; {</div>
<div class="line"><a name="l00972"></a><span class="lineno"> 972</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html">vec&lt;4, T&gt;</a>(1, 0, 0, 0);</div>
<div class="line"><a name="l00973"></a><span class="lineno"> 973</span>&#160; }</div>
<div class="line"><a name="l00974"></a><span class="lineno"> 974</span>&#160;</div>
<div class="line"><a name="l00978"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a42813be44037e06b15fdca30dcbba94e"> 978</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a42813be44037e06b15fdca30dcbba94e">unitY</a>()</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> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html">vec&lt;4, T&gt;</a>(0, 1, 0, 0);</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="l00986"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ad799c5c8a5e4c822cb98f3b2e7099837"> 986</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ad799c5c8a5e4c822cb98f3b2e7099837">unitZ</a>()</div>
<div class="line"><a name="l00987"></a><span class="lineno"> 987</span>&#160; {</div>
<div class="line"><a name="l00988"></a><span class="lineno"> 988</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html">vec&lt;4, T&gt;</a>(0, 0, 1, 0);</div>
<div class="line"><a name="l00989"></a><span class="lineno"> 989</span>&#160; }</div>
<div class="line"><a name="l00990"></a><span class="lineno"> 990</span>&#160;</div>
<div class="line"><a name="l00994"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a94b0695bcdda5e4e6430914571a259f0"> 994</a></span>&#160; <span class="keyword">static</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a94b0695bcdda5e4e6430914571a259f0">unitW</a>()</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; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html">vec&lt;4, T&gt;</a>(0, 0, 0, 1);</div>
<div class="line"><a name="l00997"></a><span class="lineno"> 997</span>&#160; }</div>
<div class="line"><a name="l00998"></a><span class="lineno"> 998</span>&#160; <span class="comment">// Operator Overloads /////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00999"></a><span class="lineno"> 999</span>&#160;</div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;</div>
<div class="line"><a name="l01006"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a0788fcc890a79a3e5f1ea96a405fb0f4"> 1006</a></span>&#160; T&amp; <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a0788fcc890a79a3e5f1ea96a405fb0f4">operator[]</a>(<span class="keywordtype">size_t</span> index)</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> <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_1vec.html">vec</a>&amp;<span class="keyword">&gt;</span>(*this)[index]);</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_1vec_3_014_00_01_t_01_4.html#ac12b4c896e3aa280ebe77283a15731e7"> 1015</a></span>&#160; <span class="keyword">const</span> T&amp; <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ac12b4c896e3aa280ebe77283a15731e7">operator[]</a>(<span class="keywordtype">size_t</span> index)<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; assert(index &lt; 4);</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">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">c</a>[index];</div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160; }</div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;</div>
<div class="line"><a name="l01025"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a3e787ec124af6479e31a026d798e658e"> 1025</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a3e787ec124af6479e31a026d798e658e">operator-</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#aed8ac97d844e7e803d1a0536630cc151">neg</a>();</div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160; }</div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;</div>
<div class="line"><a name="l01034"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#afdcbbd7d487a3d748a6ac0516f58508b"> 1034</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#afdcbbd7d487a3d748a6ac0516f58508b">operator+=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; rhs)</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; x += rhs.x;</div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160; y += rhs.y;</div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160; z += rhs.z;</div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160; w += rhs.w;</div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;</div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160; }</div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160;</div>
<div class="line"><a name="l01048"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ae608015b2c70876adbe80ded7b225704"> 1048</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ae608015b2c70876adbe80ded7b225704">operator-=</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; rhs)</div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160; {</div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160; x -= rhs.x;</div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160; y -= rhs.y;</div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160; z -= rhs.z;</div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160; w -= rhs.w;</div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;</div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160; }</div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;</div>
<div class="line"><a name="l01062"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a09f240f750ea379e3a53e1850ecc66dc"> 1062</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a09f240f750ea379e3a53e1850ecc66dc">operator*=</a>(<span class="keyword">const</span> T&amp; rhs)</div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160; {</div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160; x *= rhs;</div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160; y *= rhs;</div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160; z *= rhs;</div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160; w *= rhs;</div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160;</div>
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>&#160; }</div>
<div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>&#160;</div>
<div class="line"><a name="l01076"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#acf2824a69a308d78f99ad696d7e1d993"> 1076</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#acf2824a69a308d78f99ad696d7e1d993">operator/=</a>(<span class="keyword">const</span> T &amp; rhs)</div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160; {</div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160; x /= rhs;</div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160; y /= rhs;</div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160; z /= rhs;</div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160; w /= rhs;</div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;</div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160; }</div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160;</div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160; <span class="comment">// Public Methods /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160;</div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160;</div>
<div class="line"><a name="l01093"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a966f7509aa85d9cf42dc9e86e3ab01cf"> 1093</a></span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a966f7509aa85d9cf42dc9e86e3ab01cf">dim</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> 4; }</div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;</div>
<div class="line"><a name="l01098"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ab705429a30f26892a4a3840ccd470fd8"> 1098</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ab705429a30f26892a4a3840ccd470fd8">neg</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160; <span class="comment">// TODO: Issue when the underlying type is an unsigned integer.</span></div>
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160;<span class="preprocessor"> #if defined(_MSC_VER)</span></div>
<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>&#160;<span class="preprocessor"> #pragma warning(disable:4146)</span></div>
<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>&#160;</div>
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(-x, -y, -z, -w);</div>
<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>&#160;</div>
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160;<span class="preprocessor"> #if defined (_MSC_VER)</span></div>
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160; }</div>
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160;</div>
<div class="line"><a name="l01116"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a410a5e4244857e33ba2739fa59495316"> 1116</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a410a5e4244857e33ba2739fa59495316">mag</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160; <span class="comment">// TODO: Might want this method to return a float even if the underlying</span></div>
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160; <span class="comment">// data type is integer.</span></div>
<div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>&#160;<span class="preprocessor"> #if defined(_MSC_VER)</span></div>
<div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160;<span class="preprocessor"> #pragma warning(disable:4244)</span></div>
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160;</div>
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160;<span class="preprocessor"> #if (defined(_MSC_VER) &amp;&amp; _MSC_VER &lt;= 1600)</span></div>
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160; <span class="comment">// HACK: Visual Studio 2010 has trouble determining the correct &#39;sqrt&#39;</span></div>
<div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160; <span class="comment">// function for the template int32_t.</span></div>
<div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160; <span class="keywordflow">return</span> sqrt(static_cast&lt;float&gt;(x*x + y*y + z*z + w*w));</div>
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160;<span class="preprocessor"> #else</span></div>
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160; <span class="comment">// HACK:</span></div>
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160; <span class="keywordflow">return</span> sqrt(static_cast&lt;float&gt;(x*x + y*y + z*z + w*w));</div>
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160; <span class="comment">//return sqrt(x*x + y*y + z*z + w*w);</span></div>
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160;</div>
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160;<span class="preprocessor"> #if defined (_MSC_VER)</span></div>
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160;<span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160; }</div>
<div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160;</div>
<div class="line"><a name="l01144"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a0952c7b28c768a87c03a7cd7ccdde071"> 1144</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a0952c7b28c768a87c03a7cd7ccdde071">add</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; toAdd)<span class="keyword"> const</span></div>
<div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x + toAdd.x, y + toAdd.y, z + toAdd.z, w + toAdd.w);</div>
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>&#160; }</div>
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>&#160;</div>
<div class="line"><a name="l01153"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a7b185f55a7d90f8baa007a010e728f41"> 1153</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a7b185f55a7d90f8baa007a010e728f41">sub</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; to_sub)<span class="keyword"> const</span></div>
<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x - to_sub.x, y - to_sub.y, z - to_sub.z, w - to_sub.w);</div>
<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>&#160; }</div>
<div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>&#160;</div>
<div class="line"><a name="l01162"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a0e2b6883ce8463033a07e9b3984a2bf6"> 1162</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a0e2b6883ce8463033a07e9b3984a2bf6">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="l01163"></a><span class="lineno"> 1163</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x * scalar, y * scalar, z * scalar, w * scalar);</div>
<div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160; }</div>
<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160;</div>
<div class="line"><a name="l01171"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a412a58b90fb13c0bb30e30beadc54461"> 1171</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a412a58b90fb13c0bb30e30beadc54461">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="l01172"></a><span class="lineno"> 1172</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x / scalar, y / scalar, z / scalar, w / scalar);</div>
<div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>&#160; }</div>
<div class="line"><a name="l01175"></a><span class="lineno"> 1175</span>&#160;</div>
<div class="line"><a name="l01179"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#aaa4db9899e0e4b61c07e3c6f34bcf064"> 1179</a></span>&#160; <a class="code" href="structvn_1_1math_1_1vec.html">vec</a> <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#aaa4db9899e0e4b61c07e3c6f34bcf064">norm</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>&#160; T m = <a class="code" href="structvn_1_1math_1_1vec.html#a3d62ee03c5842e16a67b62e7c4c11ecc">mag</a>();</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; <span class="keywordflow">return</span> <a class="code" href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vec</a>(x / m, y / m, z / m, w / m);</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;</div>
<div class="line"><a name="l01190"></a><span class="lineno"><a class="line" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a8fe264a7c4dcc3646e88fde3a879ed38"> 1190</a></span>&#160; T <a class="code" href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a8fe264a7c4dcc3646e88fde3a879ed38">dot</a>(<span class="keyword">const</span> <a class="code" href="structvn_1_1math_1_1vec.html">vec</a>&amp; rhs)<span class="keyword"> const</span></div>
<div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>&#160;<span class="keyword"> </span>{</div>
<div class="line"><a name="l01192"></a><span class="lineno"> 1192</span>&#160; <span class="keywordflow">return</span> x*rhs.x + y*rhs.y + z*rhs.z + w*rhs.w;</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;};</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;<span class="preprocessor">#if defined (_MSC_VER)</span></div>
<div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>&#160;</div>
<div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>&#160;<span class="comment">// Operator Overloads /////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>&#160;</div>
<div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> tdim, <span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>&#160;vec&lt;tdim, T&gt; operator+(vec&lt;tdim, T&gt; lhs, <span class="keyword">const</span> vec&lt;tdim, T&gt;&amp; rhs)</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; lhs += rhs;</div>
<div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>&#160;</div>
<div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>&#160; <span class="keywordflow">return</span> lhs;</div>
<div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>&#160;}</div>
<div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>&#160;</div>
<div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> tdim, <span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l01221"></a><span class="lineno"> 1221</span>&#160;vec&lt;tdim, T&gt; operator-(vec&lt;tdim, T&gt; lhs, <span class="keyword">const</span> vec&lt;tdim, T&gt;&amp; rhs)</div>
<div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>&#160;{</div>
<div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>&#160; lhs -= rhs;</div>
<div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>&#160;</div>
<div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>&#160; <span class="keywordflow">return</span> lhs;</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;</div>
<div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>&#160;<span class="preprocessor">#if defined(_MSC_VER)</span></div>
<div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>&#160;<span class="preprocessor"> #pragma warning(push)</span></div>
<div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>&#160;</div>
<div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>&#160; <span class="comment">// The operator* and operator/ throw a warning when a vec*f is multiplied by a double.</span></div>
<div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>&#160;<span class="preprocessor"> #pragma warning(disable:4244)</span></div>
<div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>&#160;</div>
<div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> tdim, <span class="keyword">typename</span> T, <span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>&#160;vec&lt;tdim, T&gt; operator*(vec&lt;tdim, T&gt; lhs, <span class="keyword">const</span> S&amp; rhs)</div>
<div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>&#160;{</div>
<div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>&#160; lhs *= rhs;</div>
<div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>&#160;</div>
<div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>&#160; <span class="keywordflow">return</span> lhs;</div>
<div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>&#160;}</div>
<div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>&#160;</div>
<div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> tdim, <span class="keyword">typename</span> T, <span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>&#160;vec&lt;tdim, T&gt; operator*(<span class="keyword">const</span> S&amp; rhs, vec&lt;tdim, T&gt; lhs)</div>
<div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>&#160;{</div>
<div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>&#160; lhs *= rhs;</div>
<div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>&#160;</div>
<div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>&#160; <span class="keywordflow">return</span> lhs;</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;</div>
<div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> tdim, <span class="keyword">typename</span> T, <span class="keyword">typename</span> S&gt;</div>
<div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>&#160;vec&lt;tdim, T&gt; operator/(vec&lt;tdim, T&gt; lhs, <span class="keyword">const</span> S&amp; rhs)</div>
<div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>&#160;{</div>
<div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>&#160; lhs /= rhs;</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> lhs;</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="l01274"></a><span class="lineno"> 1274</span>&#160;<span class="preprocessor">#if defined (_MSC_VER)</span></div>
<div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>&#160;<span class="preprocessor"> #pragma warning(pop)</span></div>
<div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>&#160;</div>
<div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>&#160;<span class="comment">// Specific Typedefs //////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>&#160;</div>
<div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>&#160;<span class="keyword">typedef</span> vec&lt;2&gt; vec2;</div>
<div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>&#160;</div>
<div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>&#160;<span class="keyword">typedef</span> vec&lt;3&gt; vec3;</div>
<div class="line"><a name="l01285"></a><span class="lineno"> 1285</span>&#160;</div>
<div class="line"><a name="l01287"></a><span class="lineno"> 1287</span>&#160;<span class="keyword">typedef</span> vec&lt;4&gt; vec4;</div>
<div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>&#160;</div>
<div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>&#160;<span class="keyword">typedef</span> vec&lt;2, float&gt; vec2f;</div>
<div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>&#160;</div>
<div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>&#160;<span class="keyword">typedef</span> vec&lt;3, float&gt; vec3f;</div>
<div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>&#160;</div>
<div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>&#160;<span class="keyword">typedef</span> vec&lt;4, float&gt; vec4f;</div>
<div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>&#160;</div>
<div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>&#160;<span class="keyword">typedef</span> vec&lt;2, double&gt; vec2d;</div>
<div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>&#160;</div>
<div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>&#160;<span class="keyword">typedef</span> vec&lt;3, double&gt; vec3d;</div>
<div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>&#160;</div>
<div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>&#160;<span class="keyword">typedef</span> vec&lt;4, double&gt; vec4d;</div>
<div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>&#160;</div>
<div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>&#160;<span class="keyword">typedef</span> vec&lt;2, long double&gt; vec2ld;</div>
<div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>&#160;</div>
<div class="line"><a name="l01311"></a><span class="lineno"> 1311</span>&#160;<span class="keyword">typedef</span> vec&lt;3, long double&gt; vec3ld;</div>
<div class="line"><a name="l01312"></a><span class="lineno"> 1312</span>&#160;</div>
<div class="line"><a name="l01314"></a><span class="lineno"> 1314</span>&#160;<span class="keyword">typedef</span> vec&lt;4, long double&gt; vec4ld;</div>
<div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>&#160;</div>
<div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>&#160;<span class="keyword">typedef</span> vec&lt;2, int32_t&gt; vec2i32;</div>
<div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>&#160;</div>
<div class="line"><a name="l01320"></a><span class="lineno"> 1320</span>&#160;<span class="keyword">typedef</span> vec2i32 ivec2;</div>
<div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>&#160;</div>
<div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>&#160;<span class="keyword">typedef</span> vec&lt;3, int32_t&gt; vec3i32;</div>
<div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>&#160;</div>
<div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>&#160;<span class="keyword">typedef</span> vec&lt;4, int32_t&gt; vec4i32;</div>
<div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>&#160;</div>
<div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>&#160;<span class="keyword">typedef</span> vec&lt;2, uint32_t&gt; vec2u32;</div>
<div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>&#160;</div>
<div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>&#160;<span class="keyword">typedef</span> vec&lt;3, uint32_t&gt; vec3u32;</div>
<div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>&#160;</div>
<div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>&#160;<span class="keyword">typedef</span> vec&lt;4, uint32_t&gt; vec4u32;</div>
<div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>&#160;</div>
<div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>&#160;<span class="comment">// Common functions for working with vectors.</span></div>
<div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>&#160;</div>
<div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> tdim, <span class="keyword">typename</span> T&gt; std::string str(vec&lt;tdim, T&gt; v)</div>
<div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>&#160;{</div>
<div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>&#160; std::stringstream ss;</div>
<div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>&#160; ss &lt;&lt; <span class="stringliteral">&quot;(&quot;</span>;</div>
<div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; v.dim(); i++)</div>
<div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>&#160; {</div>
<div class="line"><a name="l01350"></a><span class="lineno"> 1350</span>&#160; ss &lt;&lt; v[i];</div>
<div class="line"><a name="l01351"></a><span class="lineno"> 1351</span>&#160;</div>
<div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>&#160; <span class="keywordflow">if</span> (i + 1 &lt; v.dim())</div>
<div class="line"><a name="l01353"></a><span class="lineno"> 1353</span>&#160; ss &lt;&lt; <span class="stringliteral">&quot;; &quot;</span>;</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; ss &lt;&lt; <span class="stringliteral">&quot;)&quot;</span>;</div>
<div class="line"><a name="l01356"></a><span class="lineno"> 1356</span>&#160;</div>
<div class="line"><a name="l01357"></a><span class="lineno"> 1357</span>&#160; <span class="keywordflow">return</span> ss.str();</div>
<div class="line"><a name="l01358"></a><span class="lineno"> 1358</span>&#160;}</div>
<div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>&#160;</div>
<div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> tdim, <span class="keyword">typename</span> T&gt; std::ostream&amp; operator&lt;&lt;(std::ostream&amp; out, vec&lt;tdim, T&gt; v)</div>
<div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>&#160;{</div>
<div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>&#160; out &lt;&lt; str(v);</div>
<div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>&#160; <span class="keywordflow">return</span> out;</div>
<div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>&#160;}</div>
<div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>&#160;</div>
<div class="line"><a name="l01372"></a><span class="lineno"> 1372</span>&#160;}</div>
<div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>&#160;}</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="preprocessor">#endif</span></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_ae9cb63027329f9c2a2a91d0b5fc9b921"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#ae9cb63027329f9c2a2a91d0b5fc9b921">vn::math::vec&lt; 3, T &gt;::z</a></div><div class="ttdeci">T z</div><div class="ttdoc">Z (2-component). </div><div class="ttdef"><b>Definition:</b> vector.h:569</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_af36fdddf5d25cd7ed4719ba0949f80b9"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#af36fdddf5d25cd7ed4719ba0949f80b9">vn::math::vec&lt; 3, T &gt;::operator*=</a></div><div class="ttdeci">vec &amp; operator*=(const T &amp;rhs)</div><div class="ttdoc">Multiplies the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:720</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html"><div class="ttname"><a href="structvn_1_1math_1_1vec.html">vn::math::vec</a></div><div class="ttdoc">Template for a Euclidean vector. </div><div class="ttdef"><b>Definition:</b> vector.h:22</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_a2055516a33216b64e3433889638a0021"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#a2055516a33216b64e3433889638a0021">vn::math::vec::operator[]</a></div><div class="ttdeci">T &amp; operator[](size_t index)</div><div class="ttdoc">Indexing into the vector&#39;s components. </div><div class="ttdef"><b>Definition:</b> vector.h:74</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a1cd116cc36514e2ec5db1a5587a7de32"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a1cd116cc36514e2ec5db1a5587a7de32">vn::math::vec&lt; 3, T &gt;::dot</a></div><div class="ttdeci">T dot(const vec &amp;rhs) const </div><div class="ttdoc">Computes the dot product of this and the provided vector. </div><div class="ttdef"><b>Definition:</b> vector.h:844</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_a1340abba14bd53b9b884f21b8709ac3d"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#a1340abba14bd53b9b884f21b8709ac3d">vn::math::vec::dot</a></div><div class="ttdeci">T dot(const vec &amp;rhs) const </div><div class="ttdoc">Computes the dot product of this and the provided vector. </div><div class="ttdef"><b>Definition:</b> vector.h:256</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a8b01c7022405a27b4bf01d4bb145d681"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a8b01c7022405a27b4bf01d4bb145d681">vn::math::vec&lt; 3, T &gt;::operator+=</a></div><div class="ttdeci">vec &amp; operator+=(const vec &amp;rhs)</div><div class="ttdoc">Adds a vector to this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:696</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a144d72b7337bfca296a08af9a43ec650"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a144d72b7337bfca296a08af9a43ec650">vn::math::vec&lt; 4, T &gt;::w</a></div><div class="ttdeci">T w</div><div class="ttdoc">W (3-component). </div><div class="ttdef"><b>Definition:</b> vector.h:890</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_afba957aff2b47b1d180c9a29a07a65a1"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#afba957aff2b47b1d180c9a29a07a65a1">vn::math::vec&lt; 2, T &gt;::operator[]</a></div><div class="ttdeci">const T &amp; operator[](size_t index) const </div><div class="ttdoc">Indexing into the vector&#39;s components. </div><div class="ttdef"><b>Definition:</b> vector.h:374</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_1vec_3_014_00_01_t_01_4_html_aa7c2e0636c55491ebf4917166f5ce60e"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#aa7c2e0636c55491ebf4917166f5ce60e">vn::math::vec&lt; 4, T &gt;::z</a></div><div class="ttdeci">T z</div><div class="ttdoc">Z (2-component). </div><div class="ttdef"><b>Definition:</b> vector.h:887</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_a291d9968d916ef1d94f4ed87294cf797"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#a291d9968d916ef1d94f4ed87294cf797">vn::math::vec::vec</a></div><div class="ttdeci">vec(T val)</div><div class="ttdoc">Creates new vector with components initialized to val. </div><div class="ttdef"><b>Definition:</b> vector.h:41</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_aa808a6db53dea3d45162428568c80851"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#aa808a6db53dea3d45162428568c80851">vn::math::vec&lt; 3, T &gt;::operator[]</a></div><div class="ttdeci">const T &amp; operator[](size_t index) const </div><div class="ttdoc">Indexing into the vector&#39;s components. </div><div class="ttdef"><b>Definition:</b> vector.h:677</div></div>
<div class="ttc" id="int_8h_html"><div class="ttname"><a href="int_8h.html">int.h</a></div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_afedf8da9f5b68c93196310ec4371467b"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#afedf8da9f5b68c93196310ec4371467b">vn::math::vec&lt; 3, T &gt;::operator/=</a></div><div class="ttdeci">vec &amp; operator/=(const T &amp;rhs)</div><div class="ttdoc">Divides the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:732</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_ac49279e6b1bc949626b8f18b43a5071c"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#ac49279e6b1bc949626b8f18b43a5071c">vn::math::vec&lt; 3, T &gt;::operator[]</a></div><div class="ttdeci">T &amp; operator[](size_t index)</div><div class="ttdoc">Indexing into the vector&#39;s components. </div><div class="ttdef"><b>Definition:</b> vector.h:668</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a0e2b6883ce8463033a07e9b3984a2bf6"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a0e2b6883ce8463033a07e9b3984a2bf6">vn::math::vec&lt; 4, T &gt;::mult</a></div><div class="ttdeci">vec mult(const double &amp;scalar) const </div><div class="ttdoc">Multiplies the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:1162</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_a572ebdacc38b8a59d3f59e60b0197cc0"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#a572ebdacc38b8a59d3f59e60b0197cc0">vn::math::vec::sub</a></div><div class="ttdeci">vec sub(const vec &amp;to_sub) const </div><div class="ttdoc">Subtracts a vector from this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:199</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_a7e91f29a28bc5ed2bfe58780b1a9f570"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#a7e91f29a28bc5ed2bfe58780b1a9f570">vn::math::vec::dim</a></div><div class="ttdeci">size_t dim() const </div><div class="ttdoc">The vector&#39;s dimension. </div><div class="ttdef"><b>Definition:</b> vector.h:153</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a0447ad1ea05f6cb42562144a538abc04"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a0447ad1ea05f6cb42562144a538abc04">vn::math::vec&lt; 4, T &gt;::vec</a></div><div class="ttdeci">vec(T val)</div><div class="ttdoc">Creates new vector with components initialized to val. </div><div class="ttdef"><b>Definition:</b> vector.h:936</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_ad8d844208993c6f1a8f26b413720fdc0"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ad8d844208993c6f1a8f26b413720fdc0">vn::math::vec&lt; 4, T &gt;::unitX</a></div><div class="ttdeci">static vec unitX()</div><div class="ttdoc">Unit vector pointing in the X (0-component) direction. </div><div class="ttdef"><b>Definition:</b> vector.h:970</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a8fe264a7c4dcc3646e88fde3a879ed38"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a8fe264a7c4dcc3646e88fde3a879ed38">vn::math::vec&lt; 4, T &gt;::dot</a></div><div class="ttdeci">T dot(const vec &amp;rhs) const </div><div class="ttdoc">Computes the dot product of this and the provided vector. </div><div class="ttdef"><b>Definition:</b> vector.h:1190</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_ab4f2ee1cab5f15568c32b2b2585af47d"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#ab4f2ee1cab5f15568c32b2b2585af47d">vn::math::vec::div</a></div><div class="ttdeci">vec div(const double &amp;scalar) const </div><div class="ttdoc">Divides the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:227</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a09ad2ee49b5d03c73c721e10129f2191"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a09ad2ee49b5d03c73c721e10129f2191">vn::math::vec&lt; 3, T &gt;::vec</a></div><div class="ttdeci">vec(const T &amp;x_val, const T &amp;y_val, const T &amp;z_val)</div><div class="ttdoc">Creates a new vector with its components initialized to the provided values. </div><div class="ttdef"><b>Definition:</b> vector.h:614</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a7203578b25e219aad984985c4273ffc3"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a7203578b25e219aad984985c4273ffc3">vn::math::vec&lt; 2, T &gt;::sub</a></div><div class="ttdeci">vec sub(const vec &amp;to_sub) const </div><div class="ttdoc">Subtracts a vector from this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:504</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a966f7509aa85d9cf42dc9e86e3ab01cf"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a966f7509aa85d9cf42dc9e86e3ab01cf">vn::math::vec&lt; 4, T &gt;::dim</a></div><div class="ttdeci">size_t dim() const </div><div class="ttdoc">The vector&#39;s dimension. </div><div class="ttdef"><b>Definition:</b> vector.h:1093</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_adbb4bb2a2a74785dfa5f1b757b2a6651"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#adbb4bb2a2a74785dfa5f1b757b2a6651">vn::math::vec&lt; 3, T &gt;::vec</a></div><div class="ttdeci">vec(T val)</div><div class="ttdoc">Creates new vector with components initialized to val. </div><div class="ttdef"><b>Definition:</b> vector.h:606</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a7ab5252374a617390a644fd64c0a41fd"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a7ab5252374a617390a644fd64c0a41fd">vn::math::vec&lt; 3, T &gt;::y</a></div><div class="ttdeci">T y</div><div class="ttdoc">Y (1-component). </div><div class="ttdef"><b>Definition:</b> vector.h:566</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_ab000b71e0a3c38645f06ab11804b58af"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#ab000b71e0a3c38645f06ab11804b58af">vn::math::vec&lt; 2, T &gt;::one</a></div><div class="ttdeci">static vec one()</div><div class="ttdoc">Vector with all of its components set to 1. </div><div class="ttdef"><b>Definition:</b> vector.h:335</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_afdcbbd7d487a3d748a6ac0516f58508b"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#afdcbbd7d487a3d748a6ac0516f58508b">vn::math::vec&lt; 4, T &gt;::operator+=</a></div><div class="ttdeci">vec &amp; operator+=(const vec &amp;rhs)</div><div class="ttdoc">Adds a vector to this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:1034</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_a10a943d63aeb2a4d09aeca0af4260bc5"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#a10a943d63aeb2a4d09aeca0af4260bc5">vn::math::vec::operator/=</a></div><div class="ttdeci">vec &amp; operator/=(const T &amp;rhs)</div><div class="ttdoc">Divides the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:138</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a96239c1e47125a4eb74c62ce631cd532"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a96239c1e47125a4eb74c62ce631cd532">vn::math::vec&lt; 2, T &gt;::vec</a></div><div class="ttdeci">vec(T x_val, T y_val)</div><div class="ttdoc">Creates a new vector with its components inintialized to the provided values. </div><div class="ttdef"><b>Definition:</b> vector.h:318</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a410a5e4244857e33ba2739fa59495316"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a410a5e4244857e33ba2739fa59495316">vn::math::vec&lt; 4, T &gt;::mag</a></div><div class="ttdeci">T mag() const </div><div class="ttdoc">The vector&#39;s magnitude. </div><div class="ttdef"><b>Definition:</b> vector.h:1116</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a8cdc3e7a6e3dde7c7bd8e7718bee3785"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a8cdc3e7a6e3dde7c7bd8e7718bee3785">vn::math::vec&lt; 4, T &gt;::r</a></div><div class="ttdeci">T r</div><div class="ttdoc">Red (0-component). </div><div class="ttdef"><b>Definition:</b> vector.h:896</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_aed8ac97d844e7e803d1a0536630cc151"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#aed8ac97d844e7e803d1a0536630cc151">vn::math::vec::neg</a></div><div class="ttdeci">vec neg() const </div><div class="ttdoc">Negates the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:158</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_aaa4db9899e0e4b61c07e3c6f34bcf064"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#aaa4db9899e0e4b61c07e3c6f34bcf064">vn::math::vec&lt; 4, T &gt;::norm</a></div><div class="ttdeci">vec norm() const </div><div class="ttdoc">Normalizes the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:1179</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a2aefc47c36500975e7c773df85897fc2"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a2aefc47c36500975e7c773df85897fc2">vn::math::vec&lt; 3, T &gt;::unitZ</a></div><div class="ttdeci">static vec unitZ()</div><div class="ttdoc">Unit vector pointing in the Z (2-component) direction. </div><div class="ttdef"><b>Definition:</b> vector.h:655</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_ac12b4c896e3aa280ebe77283a15731e7"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ac12b4c896e3aa280ebe77283a15731e7">vn::math::vec&lt; 4, T &gt;::operator[]</a></div><div class="ttdeci">const T &amp; operator[](size_t index) const </div><div class="ttdoc">Indexing into the vector&#39;s components. </div><div class="ttdef"><b>Definition:</b> vector.h:1015</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a42813be44037e06b15fdca30dcbba94e"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a42813be44037e06b15fdca30dcbba94e">vn::math::vec&lt; 4, T &gt;::unitY</a></div><div class="ttdeci">static vec unitY()</div><div class="ttdoc">Unit vector pointing in the Y (1-component) direction. </div><div class="ttdef"><b>Definition:</b> vector.h:978</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a7898ffc361ad9b87f5f4351e332b3517"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a7898ffc361ad9b87f5f4351e332b3517">vn::math::vec&lt; 2, T &gt;::add</a></div><div class="ttdeci">vec add(const vec &amp;toAdd) const </div><div class="ttdoc">Adds a vector to this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:495</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_af84c954df7013c3fa7f0800517b419f0"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#af84c954df7013c3fa7f0800517b419f0">vn::math::vec&lt; 3, T &gt;::sub</a></div><div class="ttdeci">vec sub(const vec &amp;to_sub) const </div><div class="ttdoc">Subtracts a vector from this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:807</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_aa30167f2b490619b7ca400b96cccb494"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#aa30167f2b490619b7ca400b96cccb494">vn::math::vec&lt; 4, T &gt;::y</a></div><div class="ttdeci">T y</div><div class="ttdoc">Y (1-component). </div><div class="ttdef"><b>Definition:</b> vector.h:884</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a48b2c5de3e0c8f5737e6011d9630f60c"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a48b2c5de3e0c8f5737e6011d9630f60c">vn::math::vec&lt; 3, T &gt;::unitY</a></div><div class="ttdeci">static vec unitY()</div><div class="ttdoc">Unit vector pointing in the Y (1-component) direction. </div><div class="ttdef"><b>Definition:</b> vector.h:647</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_adb419dd7af11bd1aa5fdd796b670b268"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#adb419dd7af11bd1aa5fdd796b670b268">vn::math::vec&lt; 2, T &gt;::operator-</a></div><div class="ttdeci">vec operator-() const </div><div class="ttdoc">Negates the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:384</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a781d1efa7dcfcd1f8aabcb1b71162689"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a781d1efa7dcfcd1f8aabcb1b71162689">vn::math::vec&lt; 2, T &gt;::div</a></div><div class="ttdeci">vec div(const double &amp;scalar) const </div><div class="ttdoc">Divides the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:522</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a19dde276237ef540392eb37cd787babb"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a19dde276237ef540392eb37cd787babb">vn::math::vec&lt; 3, T &gt;::mag</a></div><div class="ttdeci">T mag() const </div><div class="ttdoc">The vector&#39;s magnitude. </div><div class="ttdef"><b>Definition:</b> vector.h:770</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a412a58b90fb13c0bb30e30beadc54461"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a412a58b90fb13c0bb30e30beadc54461">vn::math::vec&lt; 4, T &gt;::div</a></div><div class="ttdeci">vec div(const double &amp;scalar) const </div><div class="ttdoc">Divides the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:1171</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a09f240f750ea379e3a53e1850ecc66dc"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a09f240f750ea379e3a53e1850ecc66dc">vn::math::vec&lt; 4, T &gt;::operator*=</a></div><div class="ttdeci">vec &amp; operator*=(const T &amp;rhs)</div><div class="ttdoc">Multiplies the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:1062</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_aad4728861bd8b7f751998a85cbe6b074"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#aad4728861bd8b7f751998a85cbe6b074">vn::math::vec&lt; 2, T &gt;::vec</a></div><div class="ttdeci">vec()</div><div class="ttdoc">Creates a new vector with uninitialized components. </div><div class="ttdef"><b>Definition:</b> vector.h:306</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a31ac83975396b46ead8f0d0d5f044227"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a31ac83975396b46ead8f0d0d5f044227">vn::math::vec&lt; 2, T &gt;::dot</a></div><div class="ttdeci">T dot(const vec &amp;rhs) const </div><div class="ttdoc">Computes the dot product of this and the provided vector. </div><div class="ttdef"><b>Definition:</b> vector.h:541</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_1vec_3_012_00_01_t_01_4_html_abb8a3dc074acb83e61b6e4b444ee2dfc"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#abb8a3dc074acb83e61b6e4b444ee2dfc">vn::math::vec&lt; 2, T &gt;::dim</a></div><div class="ttdeci">size_t dim() const </div><div class="ttdoc">The vector&#39;s dimension. </div><div class="ttdef"><b>Definition:</b> vector.h:444</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a880b304fc700008c5ec0a2a15b65d2e2"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a880b304fc700008c5ec0a2a15b65d2e2">vn::math::vec&lt; 3, T &gt;::mult</a></div><div class="ttdeci">vec mult(const double &amp;scalar) const </div><div class="ttdoc">Multiplies the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:816</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_afab178880be2049fb8d941d29b95c5d0"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#afab178880be2049fb8d941d29b95c5d0">vn::math::vec&lt; 3, T &gt;::dim</a></div><div class="ttdeci">size_t dim() const </div><div class="ttdoc">The vector&#39;s dimension. </div><div class="ttdef"><b>Definition:</b> vector.h:747</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a046fd5654dd9245d9e0e4340fc9a14a8"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a046fd5654dd9245d9e0e4340fc9a14a8">vn::math::vec&lt; 4, T &gt;::g</a></div><div class="ttdeci">T g</div><div class="ttdoc">Green (1-component). </div><div class="ttdef"><b>Definition:</b> vector.h:899</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_ab705429a30f26892a4a3840ccd470fd8"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ab705429a30f26892a4a3840ccd470fd8">vn::math::vec&lt; 4, T &gt;::neg</a></div><div class="ttdeci">vec neg() const </div><div class="ttdoc">Negates the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:1098</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a6b820c683f22047b9a5cfaad4a9787d5"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a6b820c683f22047b9a5cfaad4a9787d5">vn::math::vec&lt; 2, T &gt;::vec</a></div><div class="ttdeci">vec(T val)</div><div class="ttdoc">Creates new vector with components initialized to val. </div><div class="ttdef"><b>Definition:</b> vector.h:311</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a000769f82eccabbbc3e187f4f46f2c5c"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a000769f82eccabbbc3e187f4f46f2c5c">vn::math::vec&lt; 2, T &gt;::mult</a></div><div class="ttdeci">vec mult(const double &amp;scalar) const </div><div class="ttdoc">Multiplies the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:513</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a67adcd3c5ca91a560854cd25683f6fb9"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a67adcd3c5ca91a560854cd25683f6fb9">vn::math::vec&lt; 3, T &gt;::x</a></div><div class="ttdeci">T x</div><div class="ttdoc">X (0-component). </div><div class="ttdef"><b>Definition:</b> vector.h:563</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_1vec_html_aa0f56e95d4a3f604108e2a88353e2d8f"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#aa0f56e95d4a3f604108e2a88353e2d8f">vn::math::vec::c</a></div><div class="ttdeci">T c[tdim]</div><div class="ttdoc">The vector&#39;s components. </div><div class="ttdef"><b>Definition:</b> vector.h:29</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a76f64e6c0b33d3113829a33f40c36763"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a76f64e6c0b33d3113829a33f40c36763">vn::math::vec&lt; 4, T &gt;::b</a></div><div class="ttdeci">T b</div><div class="ttdoc">Blue (2-component). </div><div class="ttdef"><b>Definition:</b> vector.h:902</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_ab4f513fde6dc3422380d56468bc4ed0a"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#ab4f513fde6dc3422380d56468bc4ed0a">vn::math::vec::one</a></div><div class="ttdeci">static vec one()</div><div class="ttdoc">Vector with all of its components set to 1. </div><div class="ttdef"><b>Definition:</b> vector.h:61</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a08eaa640396e4983fb021e78971d496f"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a08eaa640396e4983fb021e78971d496f">vn::math::vec&lt; 2, T &gt;::operator+=</a></div><div class="ttdeci">vec &amp; operator+=(const vec &amp;rhs)</div><div class="ttdoc">Adds a vector to this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:393</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_aae6ffbdc9233aab4a517fad139b83a48"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#aae6ffbdc9233aab4a517fad139b83a48">vn::math::vec&lt; 3, T &gt;::div</a></div><div class="ttdeci">vec div(const double &amp;scalar) const </div><div class="ttdoc">Divides the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:825</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a7ba594767dd02a2469e6477f06b2ebb8"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a7ba594767dd02a2469e6477f06b2ebb8">vn::math::vec&lt; 4, T &gt;::vec</a></div><div class="ttdeci">vec(T x_val, T y_val, T z_val, T w_val)</div><div class="ttdoc">Creates a new vector with its components inintialized to the provided values. </div><div class="ttdef"><b>Definition:</b> vector.h:945</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_a3d62ee03c5842e16a67b62e7c4c11ecc"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#a3d62ee03c5842e16a67b62e7c4c11ecc">vn::math::vec::mag</a></div><div class="ttdeci">T mag() const </div><div class="ttdoc">The vector&#39;s magnitude. </div><div class="ttdef"><b>Definition:</b> vector.h:171</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_acf2824a69a308d78f99ad696d7e1d993"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#acf2824a69a308d78f99ad696d7e1d993">vn::math::vec&lt; 4, T &gt;::operator/=</a></div><div class="ttdeci">vec &amp; operator/=(const T &amp;rhs)</div><div class="ttdoc">Divides the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:1076</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a6bc429f3c1b4c96d292e7f687d234baf"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a6bc429f3c1b4c96d292e7f687d234baf">vn::math::vec&lt; 3, T &gt;::g</a></div><div class="ttdeci">T g</div><div class="ttdoc">Green (1-component). </div><div class="ttdef"><b>Definition:</b> vector.h:578</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_aadc17fc04d12858f6bca28464377224f"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#aadc17fc04d12858f6bca28464377224f">vn::math::vec&lt; 4, T &gt;::zero</a></div><div class="ttdeci">static vec zero()</div><div class="ttdoc">Vector with all of its components set to 0. </div><div class="ttdef"><b>Definition:</b> vector.h:954</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a0788fcc890a79a3e5f1ea96a405fb0f4"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a0788fcc890a79a3e5f1ea96a405fb0f4">vn::math::vec&lt; 4, T &gt;::operator[]</a></div><div class="ttdeci">T &amp; operator[](size_t index)</div><div class="ttdoc">Indexing into the vector&#39;s components. </div><div class="ttdef"><b>Definition:</b> vector.h:1006</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_a12ee38e4566aa64fe2dca3f72ff8e9ac"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#a12ee38e4566aa64fe2dca3f72ff8e9ac">vn::math::vec::norm</a></div><div class="ttdeci">vec norm() const </div><div class="ttdoc">Normalizes the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:240</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a86383051fe63e38c1760025a4a77205c"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a86383051fe63e38c1760025a4a77205c">vn::math::vec&lt; 3, T &gt;::zero</a></div><div class="ttdeci">static vec zero()</div><div class="ttdoc">Vector with all of its components set to 0. </div><div class="ttdef"><b>Definition:</b> vector.h:623</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_ad799c5c8a5e4c822cb98f3b2e7099837"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ad799c5c8a5e4c822cb98f3b2e7099837">vn::math::vec&lt; 4, T &gt;::unitZ</a></div><div class="ttdeci">static vec unitZ()</div><div class="ttdoc">Unit vector pointing in the Z (2-component) direction. </div><div class="ttdef"><b>Definition:</b> vector.h:986</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_ac22b40c483eb6b64c5d32a0f71f367f3"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#ac22b40c483eb6b64c5d32a0f71f367f3">vn::math::vec::vec</a></div><div class="ttdeci">vec()</div><div class="ttdoc">Creates a new vector with uninitialized components. </div><div class="ttdef"><b>Definition:</b> vector.h:36</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_ab8d81f8d05ea7f966b8e21e74415a149"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#ab8d81f8d05ea7f966b8e21e74415a149">vn::math::vec&lt; 3, T &gt;::b</a></div><div class="ttdeci">T b</div><div class="ttdoc">Blue (2-component). </div><div class="ttdef"><b>Definition:</b> vector.h:581</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_afa9f80ade39c38a79cf5372bf14b79f9"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#afa9f80ade39c38a79cf5372bf14b79f9">vn::math::vec&lt; 3, T &gt;::operator-=</a></div><div class="ttdeci">vec &amp; operator-=(const vec &amp;rhs)</div><div class="ttdoc">Subtracts a vector from this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:708</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a8af0998e0dda008c72532412126ac403"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a8af0998e0dda008c72532412126ac403">vn::math::vec&lt; 2, T &gt;::operator*=</a></div><div class="ttdeci">vec &amp; operator*=(const T &amp;rhs)</div><div class="ttdoc">Multiplies the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:417</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_a5ba320a180d6cdced1eccd944963b1c4"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#a5ba320a180d6cdced1eccd944963b1c4">vn::math::vec::operator+=</a></div><div class="ttdeci">vec &amp; operator+=(const vec &amp;rhs)</div><div class="ttdoc">Adds a vector to this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:102</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a57b334d8fd2516ffd9fed73ef81ff0f1"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a57b334d8fd2516ffd9fed73ef81ff0f1">vn::math::vec&lt; 2, T &gt;::zero</a></div><div class="ttdeci">static vec zero()</div><div class="ttdoc">Vector with all of its components set to 0. </div><div class="ttdef"><b>Definition:</b> vector.h:327</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_afff9854cc12cf9998878b53bb134a703"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#afff9854cc12cf9998878b53bb134a703">vn::math::vec&lt; 4, T &gt;::x</a></div><div class="ttdeci">T x</div><div class="ttdoc">X (0-component). </div><div class="ttdef"><b>Definition:</b> vector.h:881</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_acd28c08a289006f53d6872ff2755a9f3"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#acd28c08a289006f53d6872ff2755a9f3">vn::math::vec::operator-</a></div><div class="ttdeci">vec operator-() const </div><div class="ttdoc">Negates the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:93</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_aef6e45bb99d743171cc7a13cf17b2cb6"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#aef6e45bb99d743171cc7a13cf17b2cb6">vn::math::vec&lt; 2, T &gt;::unitX</a></div><div class="ttdeci">static vec unitX()</div><div class="ttdoc">Unit vector pointing in the X (0-component) direction. </div><div class="ttdef"><b>Definition:</b> vector.h:343</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a7187dcdef3e0574710d8393ec937fd06"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a7187dcdef3e0574710d8393ec937fd06">vn::math::vec&lt; 2, T &gt;::operator-=</a></div><div class="ttdeci">vec &amp; operator-=(const vec &amp;rhs)</div><div class="ttdoc">Subtracts a vector from this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:405</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a2f025e516ad48dde98b61f17a5a63dd2"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a2f025e516ad48dde98b61f17a5a63dd2">vn::math::vec&lt; 2, T &gt;::unitY</a></div><div class="ttdeci">static vec unitY()</div><div class="ttdoc">Unit vector pointing in the Y (1-component) direction. </div><div class="ttdef"><b>Definition:</b> vector.h:351</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_afce8bd0ea64923bf7f1dea899d69b455"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#afce8bd0ea64923bf7f1dea899d69b455">vn::math::vec::mult</a></div><div class="ttdeci">vec mult(const double &amp;scalar) const </div><div class="ttdoc">Multiplies the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:213</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a0494ca391f255b14ddb39d1d0dafc555"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a0494ca391f255b14ddb39d1d0dafc555">vn::math::vec&lt; 2, T &gt;::y</a></div><div class="ttdeci">T y</div><div class="ttdoc">Y (1-component). </div><div class="ttdef"><b>Definition:</b> vector.h:294</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a0ed1b3241a62eb45eb1141d7676f6232"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a0ed1b3241a62eb45eb1141d7676f6232">vn::math::vec&lt; 2, T &gt;::operator[]</a></div><div class="ttdeci">T &amp; operator[](size_t index)</div><div class="ttdoc">Indexing into the vector&#39;s components. </div><div class="ttdef"><b>Definition:</b> vector.h:365</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a8495a19d7d33a815c0178708fbfa3a84"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a8495a19d7d33a815c0178708fbfa3a84">vn::math::vec&lt; 3, T &gt;::cross</a></div><div class="ttdeci">vec&lt; 3, T &gt; cross(const vec&lt; 3, T &gt; &amp;rhs) const </div><div class="ttdoc">Computes the cross product of this and the provided vector. </div><div class="ttdef"><b>Definition:</b> vector.h:854</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a5f13a59bd9d5a1337debd32a55a5d8a1"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a5f13a59bd9d5a1337debd32a55a5d8a1">vn::math::vec&lt; 4, T &gt;::vec</a></div><div class="ttdeci">vec()</div><div class="ttdoc">Creates a new vector with uninitialized components. </div><div class="ttdef"><b>Definition:</b> vector.h:931</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a0b6fac5d456706c73b23ab300913a15d"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a0b6fac5d456706c73b23ab300913a15d">vn::math::vec&lt; 3, T &gt;::norm</a></div><div class="ttdeci">vec norm() const </div><div class="ttdoc">Normalizes the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:833</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a32872c602adcaaeee4a9fa0a2bdbd737"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a32872c602adcaaeee4a9fa0a2bdbd737">vn::math::vec&lt; 3, T &gt;::c</a></div><div class="ttdeci">T c[3]</div><div class="ttdoc">The vector&#39;s components. </div><div class="ttdef"><b>Definition:</b> vector.h:593</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_ad3ae4d49b19b516db3f0f0033ce329bf"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#ad3ae4d49b19b516db3f0f0033ce329bf">vn::math::vec::zero</a></div><div class="ttdeci">static vec zero()</div><div class="ttdoc">Vector with all of its components set to 0. </div><div class="ttdef"><b>Definition:</b> vector.h:53</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a7fa8f86df6ee8097df65e4411de0e9aa"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a7fa8f86df6ee8097df65e4411de0e9aa">vn::math::vec&lt; 2, T &gt;::neg</a></div><div class="ttdeci">vec neg() const </div><div class="ttdoc">Negates the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:449</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_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_1vec_html_a8b0831d8752c0effcbe421b156d82024"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#a8b0831d8752c0effcbe421b156d82024">vn::math::vec::operator[]</a></div><div class="ttdeci">const T &amp; operator[](size_t index) const </div><div class="ttdoc">Indexing into the vector&#39;s components. </div><div class="ttdef"><b>Definition:</b> vector.h:83</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a0952c7b28c768a87c03a7cd7ccdde071"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a0952c7b28c768a87c03a7cd7ccdde071">vn::math::vec&lt; 4, T &gt;::add</a></div><div class="ttdeci">vec add(const vec &amp;toAdd) const </div><div class="ttdoc">Adds a vector to this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:1144</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a94b0695bcdda5e4e6430914571a259f0"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a94b0695bcdda5e4e6430914571a259f0">vn::math::vec&lt; 4, T &gt;::unitW</a></div><div class="ttdeci">static vec unitW()</div><div class="ttdoc">Unit vector pointing in the W (3-component) direction. </div><div class="ttdef"><b>Definition:</b> vector.h:994</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a8791dab55afa8e463c9517c53565f789"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a8791dab55afa8e463c9517c53565f789">vn::math::vec&lt; 3, T &gt;::unitX</a></div><div class="ttdeci">static vec unitX()</div><div class="ttdoc">Unit vector pointing in the X (0-component) direction. </div><div class="ttdef"><b>Definition:</b> vector.h:639</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_ace5383e33641ed3f76d2933134a7fb1c"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#ace5383e33641ed3f76d2933134a7fb1c">vn::math::vec&lt; 3, T &gt;::vec</a></div><div class="ttdeci">vec()</div><div class="ttdoc">Creates a new vector with uninitialized components. </div><div class="ttdef"><b>Definition:</b> vector.h:601</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a523d625e85f7a50fab373b07dc161818"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a523d625e85f7a50fab373b07dc161818">vn::math::vec&lt; 2, T &gt;::x</a></div><div class="ttdeci">T x</div><div class="ttdoc">X (0-component). </div><div class="ttdef"><b>Definition:</b> vector.h:291</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_ada1facf33fb061c40ea10c1ef0c90f1a"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#ada1facf33fb061c40ea10c1ef0c90f1a">vn::math::vec&lt; 3, T &gt;::operator-</a></div><div class="ttdeci">vec operator-() const </div><div class="ttdoc">Negates the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:687</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_acae5fb518980f6c803f8fd506a3aa6f3"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#acae5fb518980f6c803f8fd506a3aa6f3">vn::math::vec&lt; 3, T &gt;::neg</a></div><div class="ttdeci">vec neg() const </div><div class="ttdoc">Negates the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:752</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a5d98f461d175aa7345217d98e4c31fd1"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a5d98f461d175aa7345217d98e4c31fd1">vn::math::vec&lt; 4, T &gt;::a</a></div><div class="ttdeci">T a</div><div class="ttdoc">Alpha (3-component). </div><div class="ttdef"><b>Definition:</b> vector.h:905</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a7b185f55a7d90f8baa007a010e728f41"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a7b185f55a7d90f8baa007a010e728f41">vn::math::vec&lt; 4, T &gt;::sub</a></div><div class="ttdeci">vec sub(const vec &amp;to_sub) const </div><div class="ttdoc">Subtracts a vector from this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:1153</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a4778dd84a44c78425e387493a018efac"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a4778dd84a44c78425e387493a018efac">vn::math::vec&lt; 2, T &gt;::operator/=</a></div><div class="ttdeci">vec &amp; operator/=(const T &amp;rhs)</div><div class="ttdoc">Divides the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:429</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a0a9ed4284264c7fabee8eba2a6e5c2a8"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a0a9ed4284264c7fabee8eba2a6e5c2a8">vn::math::vec&lt; 2, T &gt;::mag</a></div><div class="ttdeci">T mag() const </div><div class="ttdoc">The vector&#39;s magnitude. </div><div class="ttdef"><b>Definition:</b> vector.h:467</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_a808d2edb3554510c9ed0256722304606"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#a808d2edb3554510c9ed0256722304606">vn::math::vec::operator*=</a></div><div class="ttdeci">vec &amp; operator*=(const T &amp;rhs)</div><div class="ttdoc">Multiplies the vector by a scalar. </div><div class="ttdef"><b>Definition:</b> vector.h:126</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a413b82e10bb88a349819499b02cf8dee"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a413b82e10bb88a349819499b02cf8dee">vn::math::vec&lt; 4, T &gt;::one</a></div><div class="ttdeci">static vec one()</div><div class="ttdoc">Vector with all of its components set to 1. </div><div class="ttdef"><b>Definition:</b> vector.h:962</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_012_00_01_t_01_4_html_a1e388fe87642b146ace69d6686e46b7f"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_012_00_01_t_01_4.html#a1e388fe87642b146ace69d6686e46b7f">vn::math::vec&lt; 2, T &gt;::norm</a></div><div class="ttdeci">vec norm() const </div><div class="ttdoc">Normalizes the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:530</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a5d8108e661be2eacb75540164e896c97"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a5d8108e661be2eacb75540164e896c97">vn::math::vec&lt; 3, T &gt;::one</a></div><div class="ttdeci">static vec one()</div><div class="ttdoc">Vector with all of its components set to 1. </div><div class="ttdef"><b>Definition:</b> vector.h:631</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_ae608015b2c70876adbe80ded7b225704"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#ae608015b2c70876adbe80ded7b225704">vn::math::vec&lt; 4, T &gt;::operator-=</a></div><div class="ttdeci">vec &amp; operator-=(const vec &amp;rhs)</div><div class="ttdoc">Subtracts a vector from this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:1048</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_af127ba06264e43dabd379b754aa933c1"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#af127ba06264e43dabd379b754aa933c1">vn::math::vec::add</a></div><div class="ttdeci">vec add(const vec &amp;toAdd) const </div><div class="ttdoc">Adds a vector to this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:185</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a59c4ce42dd1bbeb99a4887482992810c"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a59c4ce42dd1bbeb99a4887482992810c">vn::math::vec&lt; 3, T &gt;::add</a></div><div class="ttdeci">vec add(const vec &amp;toAdd) const </div><div class="ttdoc">Adds a vector to this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:798</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_html_aee21374d0dd24875339b3b95a58a65dc"><div class="ttname"><a href="structvn_1_1math_1_1vec.html#aee21374d0dd24875339b3b95a58a65dc">vn::math::vec::operator-=</a></div><div class="ttdeci">vec &amp; operator-=(const vec &amp;rhs)</div><div class="ttdoc">Subtracts a vector from this vector. </div><div class="ttdef"><b>Definition:</b> vector.h:114</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_013_00_01_t_01_4_html_a9c92e99ab87305f7e403f8f8d2a6a95d"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_013_00_01_t_01_4.html#a9c92e99ab87305f7e403f8f8d2a6a95d">vn::math::vec&lt; 3, T &gt;::r</a></div><div class="ttdeci">T r</div><div class="ttdoc">Red (0-component). </div><div class="ttdef"><b>Definition:</b> vector.h:575</div></div>
<div class="ttc" id="structvn_1_1math_1_1vec_3_014_00_01_t_01_4_html_a3e787ec124af6479e31a026d798e658e"><div class="ttname"><a href="structvn_1_1math_1_1vec_3_014_00_01_t_01_4.html#a3e787ec124af6479e31a026d798e658e">vn::math::vec&lt; 4, T &gt;::operator-</a></div><div class="ttdeci">vec operator-() const </div><div class="ttdoc">Negates the vector. </div><div class="ttdef"><b>Definition:</b> vector.h:1025</div></div>
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