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<a href="matrix_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/* ----------------------------------------------------------------------------</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * matrix.h</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> *</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * Copyright (c) 2017 Yann Herklotz Grave <ymherklotz@gmail.com> -- MIT License</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * See file LICENSE for more details</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * ----------------------------------------------------------------------------</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> */</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> </div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#ifndef YAGE_MATH_MATRIX_H</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#define YAGE_MATH_MATRIX_H</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> </div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#include <algorithm></span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include <exception></span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#include <iostream></span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include <sstream></span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#include <string></span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include <vector></span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> </div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="keyword">namespace </span><a class="code" href="namespaceyage.html">yage</a></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> {</div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> </div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> Rows, <span class="keywordtype">int</span> Cols, <span class="keyword">class</span> Type></div><div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html"> 26</a></span> <span class="keyword">class </span><a class="code" href="classyage_1_1Matrix.html">Matrix</a>;</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> </div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">namespace </span>details</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> {</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> Rows, <span class="keywordtype">int</span> Cols, <span class="keyword">class</span> Type></div><div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="classyage_1_1details_1_1Row.html"> 47</a></span> <span class="keyword">class </span><a class="code" href="classyage_1_1details_1_1Row.html">Row</a></div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> {</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="keyword">private</span>:</div><div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="classyage_1_1details_1_1Row.html#a9c781b74460f4cb429de8838f74857d8"> 50</a></span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a> *<a class="code" href="classyage_1_1details_1_1Row.html#a9c781b74460f4cb429de8838f74857d8">parent_</a>;</div><div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="classyage_1_1details_1_1Row.html#a438164456acdb9e20c3e13ef9e43d5b3"> 51</a></span>  <span class="keywordtype">int</span> <a class="code" href="classyage_1_1details_1_1Row.html#a438164456acdb9e20c3e13ef9e43d5b3">index_</a>;</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span> </div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="keyword">public</span>:</div><div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="classyage_1_1details_1_1Row.html#a18904acbce1c6084bc25a753989b5f06"> 54</a></span>  <a class="code" href="classyage_1_1details_1_1Row.html">Row<Rows, Cols, Type></a>(<a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a> *parent, <span class="keywordtype">int</span> index)</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  : <a class="code" href="classyage_1_1details_1_1Row.html#a9c781b74460f4cb429de8838f74857d8">parent_</a>(parent), <a class="code" href="classyage_1_1details_1_1Row.html#a438164456acdb9e20c3e13ef9e43d5b3">index_</a>(index)</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  {</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  }</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span> </div><div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="classyage_1_1details_1_1Row.html#a703d4eee36d93b1227ad734bdcf27190"> 59</a></span>  Type &<a class="code" href="classyage_1_1details_1_1Row.html#a703d4eee36d93b1227ad734bdcf27190">operator[]</a>(<span class="keywordtype">int</span> col)</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  {</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="comment">// The index is the y-position of the element in the matrix</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">return</span> parent_-><a class="code" href="classyage_1_1Matrix.html#a0ab11922319366f6e74f6e9e7d7abeed">data_</a>[index_ * Cols + col];</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  }</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span> </div><div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="classyage_1_1details_1_1Row.html#a917fa3a09ab89fd610634066a40c74c8"> 65</a></span>  <span class="keyword">const</span> Type &<a class="code" href="classyage_1_1details_1_1Row.html#a917fa3a09ab89fd610634066a40c74c8">operator[]</a>(<span class="keywordtype">int</span> col)<span class="keyword"> const</span></div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">return</span> parent_-><a class="code" href="classyage_1_1Matrix.html#a0ab11922319366f6e74f6e9e7d7abeed">data_</a>[index_ * Cols + col];</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  }</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span> };</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span> </div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span> } <span class="comment">// namespace details</span></div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span> </div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> Rows = 4, <span class="keywordtype">int</span> Cols = 4, <span class="keyword">class</span> Type = <span class="keywordtype">double</span>></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="keyword">class </span><a class="code" href="classyage_1_1Matrix.html">Matrix</a></div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span> {</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="comment">// friended with the row class so that it can access protected member data.</span></div><div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#a9e9cbf0fd7c768696ef909bdac1a706d"> 79</a></span>  <span class="keyword">friend</span> <span class="keyword">class </span><a class="code" href="classyage_1_1details_1_1Row.html">details::Row</a><Rows, Cols, Type>;</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span> </div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="keyword">protected</span>:</div><div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#a0ab11922319366f6e74f6e9e7d7abeed"> 83</a></span>  std::vector<Type> <a class="code" href="classyage_1_1Matrix.html#a0ab11922319366f6e74f6e9e7d7abeed">data_</a>;</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span> </div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="keyword">public</span>:</div><div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#a73b7d1f94f4f72a2294b71b3a35794ad"> 87</a></span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a>() : data_(Rows * Cols) {}</div><div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#a191b02ff353d04f18779d4c84e20927b"> 88</a></span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a>(<span class="keyword">const</span> std::vector<Type> &data) : data_(data) {}</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span> </div><div class="line"><a name="l00091"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#acaf0837fade0cb4179603b97ac224965"> 91</a></span>  <span class="keywordtype">int</span> <a class="code" href="classyage_1_1Matrix.html#acaf0837fade0cb4179603b97ac224965">rowSize</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> Rows; }</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div><div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#a2753285bcc49a050a49976a6dbc8e89a"> 94</a></span>  <span class="keywordtype">int</span> <a class="code" href="classyage_1_1Matrix.html#a2753285bcc49a050a49976a6dbc8e89a">colSize</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> Cols; }</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span> </div><div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#adffb22a99417271958621ff1f51b7f08"> 101</a></span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<1, Cols, Type></a> <a class="code" href="classyage_1_1Matrix.html#adffb22a99417271958621ff1f51b7f08">getRow</a>(<span class="keywordtype">int</span> row)<span class="keyword"> const</span></div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<1, Cols, Type></a> rowMatrix;</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < Cols; ++i) {</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  rowMatrix[0][i] = data_[row][i];</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  }</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">return</span> rowMatrix;</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  }</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div><div class="line"><a name="l00115"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#a2833adcae1e01f637eba251c5aee7888"> 115</a></span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, 1, Type></a> <a class="code" href="classyage_1_1Matrix.html#a2833adcae1e01f637eba251c5aee7888">getCol</a>(<span class="keywordtype">int</span> col)<span class="keyword"> const</span></div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, 1, Type></a> colMatrix;</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < Rows; ++i) {</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  colMatrix[i][0] = data_[i][col];</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  }</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordflow">return</span> colMatrix;</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  }</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span> </div><div class="line"><a name="l00128"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#a83d77d3a40ced5e2b703a6d66b6e6055"> 128</a></span>  <span class="keyword">typename</span> std::vector<Type>::iterator <a class="code" href="classyage_1_1Matrix.html#a83d77d3a40ced5e2b703a6d66b6e6055">begin</a>() { <span class="keywordflow">return</span> data_.begin(); }</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span> </div><div class="line"><a name="l00134"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#a20ea5fe16d27ef15f775b5497cadc851"> 134</a></span>  <span class="keyword">typename</span> std::vector<Type>::iterator <a class="code" href="classyage_1_1Matrix.html#a20ea5fe16d27ef15f775b5497cadc851">end</a>() { <span class="keywordflow">return</span> data_.end(); }</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span> </div><div class="line"><a name="l00142"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#aaa7273d046ac077da76ffaec876041d7"> 142</a></span>  <span class="keyword">virtual</span> std::string <a class="code" href="classyage_1_1Matrix.html#aaa7273d046ac077da76ffaec876041d7">toString</a>()<span class="keyword"> const</span></div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  std::stringstream ss;</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  ss << <span class="charliteral">'['</span>;</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < Rows - 1; ++i) {</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  ss << <span class="charliteral">'['</span>;</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < Cols - 1; ++j) {</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  ss << data_[i * Cols + j] << <span class="charliteral">' '</span>;</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  }</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  ss << data_[(Rows - 1) * Cols + Cols - 1] << <span class="stringliteral">"],"</span>;</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  }</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  ss << <span class="charliteral">'['</span>;</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < Cols - 1; ++j) {</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  ss << data_[(Rows - 1) * Cols + j] << <span class="charliteral">' '</span>;</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  }</div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  ss << data_[(Rows - 1) * Cols + Cols - 1] << <span class="stringliteral">"]]"</span>;</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keywordflow">return</span> ss.str();</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  }</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span> </div><div class="line"><a name="l00161"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#a89e826d2c6646002cfae23dde7f61145"> 161</a></span>  <a class="code" href="classyage_1_1details_1_1Row.html">details::Row<Rows, Cols, Type></a> <a class="code" href="classyage_1_1Matrix.html#a89e826d2c6646002cfae23dde7f61145">operator[]</a>(<span class="keywordtype">int</span> row)</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  {</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">return</span> <a class="code" href="classyage_1_1details_1_1Row.html">details::Row<Rows, Cols, Type></a>(<span class="keyword">this</span>, row);</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  }</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span> </div><div class="line"><a name="l00166"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#a0851891b2575ca0634d8a4a0696b8346"> 166</a></span>  <a class="code" href="classyage_1_1details_1_1Row.html">details::Row<Rows, Cols, Type></a> <a class="code" href="classyage_1_1Matrix.html#a0851891b2575ca0634d8a4a0696b8346">operator[]</a>(<span class="keywordtype">int</span> row)<span class="keyword"> const</span></div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordflow">return</span> <a class="code" href="classyage_1_1details_1_1Row.html">details::Row<Rows, Cols, Type></a>((<a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a> *)<span class="keyword">this</span>,</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  row);</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  }</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span> </div><div class="line"><a name="l00172"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#a8b7e0913efdb5e8c9ff39df4c4f36228"> 172</a></span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a> &<a class="code" href="classyage_1_1Matrix.html#a8b7e0913efdb5e8c9ff39df4c4f36228">operator+=</a>(<span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a> &rhs)</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  {</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  std::vector<Type> out;</div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  out.reserve(data_.size());</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  std::transform(data_.begin(), data_.end(), rhs.<a class="code" href="classyage_1_1Matrix.html#a0ab11922319366f6e74f6e9e7d7abeed">data_</a>.begin(),</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  std::back_inserter(out),</div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  [](Type a, Type b) { <span class="keywordflow">return</span> a + b; });</div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  data_ = std::move(out);</div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  }</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span> </div><div class="line"><a name="l00183"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html#acc2d0763f060c923ce53b37143d0a7bb"> 183</a></span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a> &<a class="code" href="classyage_1_1Matrix.html#acc2d0763f060c923ce53b37143d0a7bb">operator-=</a>(<span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a> &rhs)</div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  {</div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  std::vector<Type> out;</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  out.reserve(data_.size());</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  std::transform(data_.begin(), data_.end(), rhs.<a class="code" href="classyage_1_1Matrix.html#a83d77d3a40ced5e2b703a6d66b6e6055">begin</a>(),</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  std::back_inserter(out),</div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  [](Type a, Type b) { <span class="keywordflow">return</span> a - b; });</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  data_ = std::move(out);</div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  }</div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span> };</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span> </div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keyword">class</span> T></div><div class="line"><a name="l00196"></a><span class="lineno"><a class="line" href="namespaceyage.html#a226cc29763f745fd175844f4263d5dae"> 196</a></span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> <a class="code" href="namespaceyage.html#a226cc29763f745fd175844f4263d5dae">operator+</a>(<a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> lhs, <span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> &rhs)</div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span> {</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  lhs += rhs;</div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span> }</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span> </div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keyword">class</span> T></div><div class="line"><a name="l00203"></a><span class="lineno"><a class="line" href="namespaceyage.html#a2187fb11298a029f2877702192717090"> 203</a></span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> <a class="code" href="namespaceyage.html#a2187fb11298a029f2877702192717090">operator-</a>(<a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> lhs, <span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> &rhs)</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span> {</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  lhs -= rhs;</div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span> }</div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span> </div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keyword">class</span> T></div><div class="line"><a name="l00210"></a><span class="lineno"><a class="line" href="namespaceyage.html#a6b77afaa1cd077df90b9daccbfc2cbae"> 210</a></span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> <a class="code" href="namespaceyage.html#a226cc29763f745fd175844f4263d5dae">operator+</a>(<a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> lhs, <span class="keyword">const</span> T &rhs)</div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span> {</div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span> &data : lhs) {</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  data += rhs;</div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  }</div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span> }</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span> </div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keyword">class</span> T></div><div class="line"><a name="l00219"></a><span class="lineno"><a class="line" href="namespaceyage.html#a947133b8fc764d9fc5c5d8b08821cf32"> 219</a></span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> <a class="code" href="namespaceyage.html#a226cc29763f745fd175844f4263d5dae">operator+</a>(<span class="keyword">const</span> T &lhs, <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> rhs)</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span> {</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span> &data : rhs) {</div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  data += lhs;</div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  }</div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keywordflow">return</span> rhs;</div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span> }</div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span> </div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keyword">class</span> T></div><div class="line"><a name="l00228"></a><span class="lineno"><a class="line" href="namespaceyage.html#a8a9db24697f649f6d19f0347330d95fe"> 228</a></span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> <a class="code" href="namespaceyage.html#a2187fb11298a029f2877702192717090">operator-</a>(<a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> lhs, <span class="keyword">const</span> T &rhs)</div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span> {</div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span> &data : lhs) {</div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  data -= rhs;</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  }</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span> }</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span> </div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keyword">class</span> T></div><div class="line"><a name="l00237"></a><span class="lineno"><a class="line" href="namespaceyage.html#ad9344d41af72f29cd6f8cf1ef62ed3cc"> 237</a></span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> <a class="code" href="namespaceyage.html#a2187fb11298a029f2877702192717090">operator-</a>(<span class="keyword">const</span> T &lhs, <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> rhs)</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span> {</div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span> &data : rhs) {</div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  data = lhs - data;</div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  }</div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keywordflow">return</span> rhs;</div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span> }</div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span> </div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keyword">class</span> T></div><div class="line"><a name="l00246"></a><span class="lineno"><a class="line" href="namespaceyage.html#ad8903f6a93ac89f16846458540717507"> 246</a></span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> <a class="code" href="namespaceyage.html#ad8903f6a93ac89f16846458540717507">operator*</a>(<a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> lhs, <span class="keyword">const</span> T &rhs)</div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span> {</div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span> &data : lhs) {</div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  data *= rhs;</div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  }</div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span> }</div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span> </div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keyword">class</span> T></div><div class="line"><a name="l00255"></a><span class="lineno"><a class="line" href="namespaceyage.html#a090cbd6b767b583364e9cbe78d8a8d5a"> 255</a></span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> <a class="code" href="namespaceyage.html#ad8903f6a93ac89f16846458540717507">operator*</a>(<span class="keyword">const</span> T &lhs, <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> rhs)</div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span> {</div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span> &data : rhs) {</div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  data *= lhs;</div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  }</div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="keywordflow">return</span> rhs;</div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span> }</div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span> </div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keyword">class</span> T></div><div class="line"><a name="l00264"></a><span class="lineno"><a class="line" href="namespaceyage.html#acca4a23afb94173695bbc1e1f2cde2b3"> 264</a></span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> <a class="code" href="namespaceyage.html#acca4a23afb94173695bbc1e1f2cde2b3">operator/</a>(<a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> lhs, <span class="keyword">const</span> T &rhs)</div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span> {</div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span> &data : lhs) {</div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  data /= rhs;</div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  }</div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span> }</div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span> </div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keyword">class</span> T></div><div class="line"><a name="l00273"></a><span class="lineno"><a class="line" href="namespaceyage.html#a5ddd829cb1c7c4c880d0fd53326858fe"> 273</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespaceyage.html#a5ddd829cb1c7c4c880d0fd53326858fe">operator==</a>(<span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> &lhs, <span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> &rhs)</div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span> {</div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < M; ++i) {</div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < N; ++j) {</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="keywordflow">if</span> (lhs[i][j] != rhs[i][j]) {</div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  }</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  }</div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  }</div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span> }</div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span> </div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keyword">class</span> T></div><div class="line"><a name="l00286"></a><span class="lineno"><a class="line" href="namespaceyage.html#a7ed614bc9d3e8b9f3f8d32b6a7ff28eb"> 286</a></span> std::ostream &operator<<(std::ostream &os, const Matrix<M, N, T> &mat)</div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span> {</div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keywordflow">return</span> os << mat.toString();</div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span> }</div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span> </div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> Rows = 2, <span class="keyword">class</span> Type = <span class="keywordtype">double</span>></div><div class="line"><a name="l00292"></a><span class="lineno"><a class="line" href="classyage_1_1Vector.html"> 292</a></span> <span class="keyword">class </span><a class="code" href="classyage_1_1Vector.html">Vector</a> : <span class="keyword">public</span> <a class="code" href="classyage_1_1Matrix.html">Matrix</a><Rows, 1, Type></div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span> {</div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span> <span class="keyword">public</span>:</div><div class="line"><a name="l00295"></a><span class="lineno"><a class="line" href="classyage_1_1Vector.html#ac9b202913c03bde201e350e855fbbffa"> 295</a></span>  <a class="code" href="classyage_1_1Vector.html">Vector<Rows, Type></a>() : <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, 1, Type></a>() {}</div><div class="line"><a name="l00296"></a><span class="lineno"><a class="line" href="classyage_1_1Vector.html#a55fd6c60a95832ad4b68083071f9866f"> 296</a></span>  <a class="code" href="classyage_1_1Vector.html">Vector<Rows, Type></a>(<span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, 1, Type></a> &other)</div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  : <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, 1, Type></a>(other)</div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  {</div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  }</div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span> </div><div class="line"><a name="l00301"></a><span class="lineno"><a class="line" href="classyage_1_1Vector.html#aa291a8ee264f81165b529b7f3a0c265d"> 301</a></span>  <a class="code" href="classyage_1_1Vector.html">Vector<Rows, Type></a>(<span class="keyword">const</span> std::vector<Type> &data)</div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  : <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, 1, Type></a>(data)</div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  {</div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  }</div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span> </div><div class="line"><a name="l00306"></a><span class="lineno"><a class="line" href="classyage_1_1Vector.html#a81efa1cb9d4ce8bb8c5cf9652a5650a2"> 306</a></span>  Type &<a class="code" href="classyage_1_1Vector.html#a81efa1cb9d4ce8bb8c5cf9652a5650a2">operator[]</a>(<span class="keywordtype">int</span> col) { <span class="keywordflow">return</span> this->data_[col]; }</div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span> </div><div class="line"><a name="l00308"></a><span class="lineno"><a class="line" href="classyage_1_1Vector.html#a1e9c60516faeb06826666493a7ca307a"> 308</a></span>  <span class="keyword">const</span> Type &<a class="code" href="classyage_1_1Vector.html#a1e9c60516faeb06826666493a7ca307a">operator[]</a>(<span class="keywordtype">int</span> col)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> this->data_[col]; }</div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span> </div><div class="line"><a name="l00310"></a><span class="lineno"><a class="line" href="classyage_1_1Vector.html#a956f7b6d02c0309adece311f59c8beae"> 310</a></span>  std::string <a class="code" href="classyage_1_1Vector.html#a956f7b6d02c0309adece311f59c8beae">toString</a>()<span class="keyword"> const override</span></div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  std::stringstream ss;</div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  ss << <span class="stringliteral">"["</span>;</div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < this->data_.size() - 1; ++i) {</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  ss << this->data_[i] << <span class="stringliteral">" "</span>;</div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  }</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  ss << this->data_[this->data_.size() - 1] << <span class="stringliteral">"]"</span>;</div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="keywordflow">return</span> ss.str();</div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  }</div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span> };</div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span> </div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span> <span class="keyword">template</span> <<span class="keyword">class</span> Type = <span class="keywordtype">double</span>></div><div class="line"><a name="l00327"></a><span class="lineno"><a class="line" href="classyage_1_1Vector2.html"> 327</a></span> <span class="keyword">class </span><a class="code" href="classyage_1_1Vector2.html">Vector2</a> : <span class="keyword">public</span> <a class="code" href="classyage_1_1Vector.html">Vector</a><2, Type></div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span> {</div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span> <span class="keyword">public</span>:</div><div class="line"><a name="l00330"></a><span class="lineno"><a class="line" href="classyage_1_1Vector2.html#a50c108903be424de1c41ce31fddd23ea"> 330</a></span>  <a class="code" href="classyage_1_1Vector2.html">Vector2<Type></a>() : <a class="code" href="classyage_1_1Vector.html">Vector<2, Type></a>() {}</div><div class="line"><a name="l00331"></a><span class="lineno"><a class="line" href="classyage_1_1Vector2.html#af69d534302a406bac419589e0a2f2917"> 331</a></span>  <a class="code" href="classyage_1_1Vector2.html">Vector2<Type></a>(<span class="keyword">const</span> std::vector<Type> &data) : <a class="code" href="classyage_1_1Vector.html">Vector<2, Type></a>(data) {}</div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span> </div><div class="line"><a name="l00333"></a><span class="lineno"><a class="line" href="classyage_1_1Vector2.html#a3ef3bc2954f387f1db2165a884765ad0"> 333</a></span>  <a class="code" href="classyage_1_1Vector2.html">Vector2<Type></a>(Type x, Type y)</div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  {</div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  this->data_[0] = x;</div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  this->data_[1] = y;</div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  }</div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span> </div><div class="line"><a name="l00339"></a><span class="lineno"><a class="line" href="classyage_1_1Vector2.html#aacee766d18741a925a47b91fa0080822"> 339</a></span>  <a class="code" href="classyage_1_1Vector2.html">Vector2<Type></a>(<span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<2, 1, Type></a> &other) : <a class="code" href="classyage_1_1Vector.html">Vector<2, Type></a>(other) {}</div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span> </div><div class="line"><a name="l00341"></a><span class="lineno"><a class="line" href="classyage_1_1Vector2.html#a5a777413b63e68dc5f797d31e3d7beaf"> 341</a></span>  Type &<a class="code" href="classyage_1_1Vector2.html#a5a777413b63e68dc5f797d31e3d7beaf">x</a>() { <span class="keywordflow">return</span> this->data_[0]; }</div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span> </div><div class="line"><a name="l00343"></a><span class="lineno"><a class="line" href="classyage_1_1Vector2.html#a96360148b634862a31573f475b4fa53f"> 343</a></span>  <span class="keyword">const</span> Type &<a class="code" href="classyage_1_1Vector2.html#a96360148b634862a31573f475b4fa53f">x</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> this->data_[0]; }</div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span> </div><div class="line"><a name="l00345"></a><span class="lineno"><a class="line" href="classyage_1_1Vector2.html#a554645b415a76af47698985b7757f0c2"> 345</a></span>  Type &<a class="code" href="classyage_1_1Vector2.html#a554645b415a76af47698985b7757f0c2">y</a>() { <span class="keywordflow">return</span> this->data_[1]; }</div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span> </div><div class="line"><a name="l00347"></a><span class="lineno"><a class="line" href="classyage_1_1Vector2.html#ab5e0499a78afced459600a867736a42e"> 347</a></span>  <span class="keyword">const</span> Type &<a class="code" href="classyage_1_1Vector2.html#ab5e0499a78afced459600a867736a42e">y</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> this->data_[1]; }</div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span> };</div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span> </div><div class="line"><a name="l00352"></a><span class="lineno"><a class="line" href="namespaceyage.html#a23eef341099a6b2816cf0c63f8ffe898"> 352</a></span> <span class="keyword">using</span> <a class="code" href="classyage_1_1Vector2.html">Vector2d</a> = <a class="code" href="classyage_1_1Vector2.html">Vector2<double></a>;</div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span> </div><div class="line"><a name="l00359"></a><span class="lineno"><a class="line" href="namespaceyage_1_1matrix.html"> 359</a></span> <span class="keyword">namespace </span>matrix</div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span> {</div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span> </div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keyword">class</span> T></div><div class="line"><a name="l00367"></a><span class="lineno"><a class="line" href="namespaceyage_1_1matrix.html#a62de4b4b6bab23717d957c370f2e41c7"> 367</a></span> <a class="code" href="classyage_1_1Matrix.html">Matrix<N, M, T></a> <a class="code" href="namespaceyage_1_1matrix.html#a62de4b4b6bab23717d957c370f2e41c7">transpose</a>(<span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> &m)</div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span> {</div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<N, M, T></a> trans;</div><div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < M; ++i) {</div><div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < N; ++j) {</div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  trans[j][i] = m[i][j];</div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  }</div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  }</div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <span class="keywordflow">return</span> trans;</div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span> }</div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span> </div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> R, <span class="keyword">class</span> T></div><div class="line"><a name="l00383"></a><span class="lineno"><a class="line" href="namespaceyage_1_1matrix.html#ac4d2f55a5c3369ec42001776a582c30a"> 383</a></span> T <a class="code" href="namespaceyage_1_1matrix.html#ac4d2f55a5c3369ec42001776a582c30a">dot</a>(<span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<R, 1, T></a> &m1, <span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<R, 1, T></a> &m2)</div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span> {</div><div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  T sum = 0;</div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < R; ++i) {</div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  sum += m1[i][0] * m2[i][0];</div><div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  }</div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  <span class="keywordflow">return</span> sum;</div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span> }</div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span> </div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span> <span class="keyword">template</span> <<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keywordtype">int</span> P, <span class="keywordtype">int</span> Q, <span class="keyword">class</span> T></div><div class="line"><a name="l00399"></a><span class="lineno"><a class="line" href="namespaceyage_1_1matrix.html#a277125ad9fa06a7119c59d350e129985"> 399</a></span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, Q, T></a> <a class="code" href="namespaceyage_1_1matrix.html#a277125ad9fa06a7119c59d350e129985">multiply</a>(<span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> &m1, <span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<P, Q, T></a> &m2)</div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span> {</div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="keywordflow">if</span> (N != P) {</div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  <span class="keywordflow">throw</span> std::runtime_error(</div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  <span class="stringliteral">"Matrices don't have the right dimensions for multiplication"</span>);</div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  }</div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span> </div><div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<M, Q, T></a> res;</div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span> </div><div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < M; ++i) {</div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < Q; ++j) {</div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  res[i][j] = <a class="code" href="namespaceyage_1_1matrix.html#ac4d2f55a5c3369ec42001776a582c30a">dot</a>(<a class="code" href="namespaceyage_1_1matrix.html#a62de4b4b6bab23717d957c370f2e41c7">transpose</a>(m1.<a class="code" href="classyage_1_1Matrix.html#adffb22a99417271958621ff1f51b7f08">getRow</a>(i)), m2.<a class="code" href="classyage_1_1Matrix.html#a2833adcae1e01f637eba251c5aee7888">getCol</a>(j));</div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  }</div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  }</div><div class="line"><a name="l00416"></a><span class="lineno"> 416</span> </div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  <span class="keywordflow">return</span> res;</div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span> }</div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span> </div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span> } <span class="comment">// namespace matrix</span></div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span> </div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span> } <span class="comment">// namespace yage</span></div><div class="line"><a name="l00423"></a><span class="lineno"> 423</span> </div><div class="line"><a name="l00424"></a><span class="lineno"> 424</span> <span class="preprocessor">#endif</span></div><div class="ttc" id="namespaceyage_html_acca4a23afb94173695bbc1e1f2cde2b3"><div class="ttname"><a href="namespaceyage.html#acca4a23afb94173695bbc1e1f2cde2b3">yage::operator/</a></div><div class="ttdeci">Matrix< M, N, T > operator/(Matrix< M, N, T > lhs, const T &rhs)</div><div class="ttdef"><b>Definition:</b> matrix.h:264</div></div>
<div class="ttc" id="classyage_1_1Vector2_html_ab5e0499a78afced459600a867736a42e"><div class="ttname"><a href="classyage_1_1Vector2.html#ab5e0499a78afced459600a867736a42e">yage::Vector2::y</a></div><div class="ttdeci">const Type & y() const</div><div class="ttdef"><b>Definition:</b> matrix.h:347</div></div>
<div class="ttc" id="classyage_1_1Matrix_html_a0851891b2575ca0634d8a4a0696b8346"><div class="ttname"><a href="classyage_1_1Matrix.html#a0851891b2575ca0634d8a4a0696b8346">yage::Matrix::operator[]</a></div><div class="ttdeci">details::Row< Rows, Cols, Type > operator[](int row) const</div><div class="ttdef"><b>Definition:</b> matrix.h:166</div></div>
<div class="ttc" id="classyage_1_1details_1_1Row_html"><div class="ttname"><a href="classyage_1_1details_1_1Row.html">yage::details::Row</a></div><div class="ttdef"><b>Definition:</b> matrix.h:47</div></div>
<div class="ttc" id="namespaceyage_html_ad8903f6a93ac89f16846458540717507"><div class="ttname"><a href="namespaceyage.html#ad8903f6a93ac89f16846458540717507">yage::operator*</a></div><div class="ttdeci">Matrix< M, N, T > operator*(Matrix< M, N, T > lhs, const T &rhs)</div><div class="ttdef"><b>Definition:</b> matrix.h:246</div></div>
<div class="ttc" id="classyage_1_1Matrix_html_acaf0837fade0cb4179603b97ac224965"><div class="ttname"><a href="classyage_1_1Matrix.html#acaf0837fade0cb4179603b97ac224965">yage::Matrix::rowSize</a></div><div class="ttdeci">int rowSize() const</div><div class="ttdoc">Returns the row size of the Matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:91</div></div>
<div class="ttc" id="classyage_1_1Matrix_html_a2753285bcc49a050a49976a6dbc8e89a"><div class="ttname"><a href="classyage_1_1Matrix.html#a2753285bcc49a050a49976a6dbc8e89a">yage::Matrix::colSize</a></div><div class="ttdeci">int colSize() const</div><div class="ttdoc">Returns the column size of the Matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:94</div></div>
<div class="ttc" id="classyage_1_1Vector2_html"><div class="ttname"><a href="classyage_1_1Vector2.html">yage::Vector2</a></div><div class="ttdoc">2D Vector class. </div><div class="ttdef"><b>Definition:</b> matrix.h:327</div></div>
<div class="ttc" id="namespaceyage_html_a5ddd829cb1c7c4c880d0fd53326858fe"><div class="ttname"><a href="namespaceyage.html#a5ddd829cb1c7c4c880d0fd53326858fe">yage::operator==</a></div><div class="ttdeci">bool operator==(const Matrix< M, N, T > &lhs, const Matrix< M, N, T > &rhs)</div><div class="ttdef"><b>Definition:</b> matrix.h:273</div></div>
<div class="ttc" id="classyage_1_1Matrix_html_a20ea5fe16d27ef15f775b5497cadc851"><div class="ttname"><a href="classyage_1_1Matrix.html#a20ea5fe16d27ef15f775b5497cadc851">yage::Matrix::end</a></div><div class="ttdeci">std::vector< Type >::iterator end()</div><div class="ttdoc">Iterator support for the end. </div><div class="ttdef"><b>Definition:</b> matrix.h:134</div></div>
<div class="ttc" id="classyage_1_1Matrix_html_a2833adcae1e01f637eba251c5aee7888"><div class="ttname"><a href="classyage_1_1Matrix.html#a2833adcae1e01f637eba251c5aee7888">yage::Matrix::getCol</a></div><div class="ttdeci">Matrix< Rows, 1, Type > getCol(int col) const</div><div class="ttdoc">Get a specific column in a column vector. </div><div class="ttdef"><b>Definition:</b> matrix.h:115</div></div>
<div class="ttc" id="classyage_1_1details_1_1Row_html_a438164456acdb9e20c3e13ef9e43d5b3"><div class="ttname"><a href="classyage_1_1details_1_1Row.html#a438164456acdb9e20c3e13ef9e43d5b3">yage::details::Row::index_</a></div><div class="ttdeci">int index_</div><div class="ttdef"><b>Definition:</b> matrix.h:51</div></div>
<div class="ttc" id="classyage_1_1Vector_html_a81efa1cb9d4ce8bb8c5cf9652a5650a2"><div class="ttname"><a href="classyage_1_1Vector.html#a81efa1cb9d4ce8bb8c5cf9652a5650a2">yage::Vector::operator[]</a></div><div class="ttdeci">Type & operator[](int col)</div><div class="ttdef"><b>Definition:</b> matrix.h:306</div></div>
<div class="ttc" id="classyage_1_1Matrix_html_a0ab11922319366f6e74f6e9e7d7abeed"><div class="ttname"><a href="classyage_1_1Matrix.html#a0ab11922319366f6e74f6e9e7d7abeed">yage::Matrix::data_</a></div><div class="ttdeci">std::vector< Type > data_</div><div class="ttdoc">Vector containing the data of the matrix. </div><div class="ttdef"><b>Definition:</b> matrix.h:83</div></div>
<div class="ttc" id="namespaceyage_1_1matrix_html_a277125ad9fa06a7119c59d350e129985"><div class="ttname"><a href="namespaceyage_1_1matrix.html#a277125ad9fa06a7119c59d350e129985">yage::matrix::multiply</a></div><div class="ttdeci">Matrix< M, Q, T > multiply(const Matrix< M, N, T > &m1, const Matrix< P, Q, T > &m2)</div><div class="ttdoc">Multiplies two matrices together. </div><div class="ttdef"><b>Definition:</b> matrix.h:399</div></div>
<div class="ttc" id="classyage_1_1Vector2_html_a554645b415a76af47698985b7757f0c2"><div class="ttname"><a href="classyage_1_1Vector2.html#a554645b415a76af47698985b7757f0c2">yage::Vector2::y</a></div><div class="ttdeci">Type & y()</div><div class="ttdef"><b>Definition:</b> matrix.h:345</div></div>
<div class="ttc" id="classyage_1_1details_1_1Row_html_a917fa3a09ab89fd610634066a40c74c8"><div class="ttname"><a href="classyage_1_1details_1_1Row.html#a917fa3a09ab89fd610634066a40c74c8">yage::details::Row::operator[]</a></div><div class="ttdeci">const Type & operator[](int col) const</div><div class="ttdef"><b>Definition:</b> matrix.h:65</div></div>
<div class="ttc" id="classyage_1_1details_1_1Row_html_a703d4eee36d93b1227ad734bdcf27190"><div class="ttname"><a href="classyage_1_1details_1_1Row.html#a703d4eee36d93b1227ad734bdcf27190">yage::details::Row::operator[]</a></div><div class="ttdeci">Type & operator[](int col)</div><div class="ttdef"><b>Definition:</b> matrix.h:59</div></div>
<div class="ttc" id="classyage_1_1details_1_1Row_html_a9c781b74460f4cb429de8838f74857d8"><div class="ttname"><a href="classyage_1_1details_1_1Row.html#a9c781b74460f4cb429de8838f74857d8">yage::details::Row::parent_</a></div><div class="ttdeci">Matrix< Rows, Cols, Type > * parent_</div><div class="ttdef"><b>Definition:</b> matrix.h:50</div></div>
<div class="ttc" id="namespaceyage_1_1matrix_html_a62de4b4b6bab23717d957c370f2e41c7"><div class="ttname"><a href="namespaceyage_1_1matrix.html#a62de4b4b6bab23717d957c370f2e41c7">yage::matrix::transpose</a></div><div class="ttdeci">Matrix< N, M, T > transpose(const Matrix< M, N, T > &m)</div><div class="ttdoc">Transposes a matrix and returns the result. </div><div class="ttdef"><b>Definition:</b> matrix.h:367</div></div>
<div class="ttc" id="classyage_1_1Matrix_html_acc2d0763f060c923ce53b37143d0a7bb"><div class="ttname"><a href="classyage_1_1Matrix.html#acc2d0763f060c923ce53b37143d0a7bb">yage::Matrix::operator-=</a></div><div class="ttdeci">Matrix< Rows, Cols, Type > & operator-=(const Matrix< Rows, Cols, Type > &rhs)</div><div class="ttdef"><b>Definition:</b> matrix.h:183</div></div>
<div class="ttc" id="classyage_1_1Vector2_html_a5a777413b63e68dc5f797d31e3d7beaf"><div class="ttname"><a href="classyage_1_1Vector2.html#a5a777413b63e68dc5f797d31e3d7beaf">yage::Vector2::x</a></div><div class="ttdeci">Type & x()</div><div class="ttdef"><b>Definition:</b> matrix.h:341</div></div>
<div class="ttc" id="classyage_1_1Matrix_html_a89e826d2c6646002cfae23dde7f61145"><div class="ttname"><a href="classyage_1_1Matrix.html#a89e826d2c6646002cfae23dde7f61145">yage::Matrix::operator[]</a></div><div class="ttdeci">details::Row< Rows, Cols, Type > operator[](int row)</div><div class="ttdef"><b>Definition:</b> matrix.h:161</div></div>
<div class="ttc" id="namespaceyage_html_a226cc29763f745fd175844f4263d5dae"><div class="ttname"><a href="namespaceyage.html#a226cc29763f745fd175844f4263d5dae">yage::operator+</a></div><div class="ttdeci">Matrix< M, N, T > operator+(Matrix< M, N, T > lhs, const Matrix< M, N, T > &rhs)</div><div class="ttdef"><b>Definition:</b> matrix.h:196</div></div>
<div class="ttc" id="classyage_1_1Vector_html"><div class="ttname"><a href="classyage_1_1Vector.html">yage::Vector</a></div><div class="ttdef"><b>Definition:</b> matrix.h:292</div></div>
<div class="ttc" id="namespaceyage_html_a2187fb11298a029f2877702192717090"><div class="ttname"><a href="namespaceyage.html#a2187fb11298a029f2877702192717090">yage::operator-</a></div><div class="ttdeci">Matrix< M, N, T > operator-(Matrix< M, N, T > lhs, const Matrix< M, N, T > &rhs)</div><div class="ttdef"><b>Definition:</b> matrix.h:203</div></div>
<div class="ttc" id="classyage_1_1Matrix_html_a8b7e0913efdb5e8c9ff39df4c4f36228"><div class="ttname"><a href="classyage_1_1Matrix.html#a8b7e0913efdb5e8c9ff39df4c4f36228">yage::Matrix::operator+=</a></div><div class="ttdeci">Matrix< Rows, Cols, Type > & operator+=(const Matrix< Rows, Cols, Type > &rhs)</div><div class="ttdef"><b>Definition:</b> matrix.h:172</div></div>
<div class="ttc" id="classyage_1_1Matrix_html"><div class="ttname"><a href="classyage_1_1Matrix.html">yage::Matrix</a></div><div class="ttdoc">Base Matrix class used by other similar classes. </div><div class="ttdef"><b>Definition:</b> matrix.h:26</div></div>
<div class="ttc" id="classyage_1_1Matrix_html_aaa7273d046ac077da76ffaec876041d7"><div class="ttname"><a href="classyage_1_1Matrix.html#aaa7273d046ac077da76ffaec876041d7">yage::Matrix::toString</a></div><div class="ttdeci">virtual std::string toString() const</div><div class="ttdoc">Prints out the matrix, but can also be implemented by other classes to print data differently...</div><div class="ttdef"><b>Definition:</b> matrix.h:142</div></div>
<div class="ttc" id="namespaceyage_1_1matrix_html_ac4d2f55a5c3369ec42001776a582c30a"><div class="ttname"><a href="namespaceyage_1_1matrix.html#ac4d2f55a5c3369ec42001776a582c30a">yage::matrix::dot</a></div><div class="ttdeci">T dot(const Matrix< R, 1, T > &m1, const Matrix< R, 1, T > &m2)</div><div class="ttdoc">Returns the dot product between two vectors. </div><div class="ttdef"><b>Definition:</b> matrix.h:383</div></div>
<div class="ttc" id="classyage_1_1Matrix_html_adffb22a99417271958621ff1f51b7f08"><div class="ttname"><a href="classyage_1_1Matrix.html#adffb22a99417271958621ff1f51b7f08">yage::Matrix::getRow</a></div><div class="ttdeci">Matrix< 1, Cols, Type > getRow(int row) const</div><div class="ttdoc">Return the row specified row as a Matrix with only one row. </div><div class="ttdef"><b>Definition:</b> matrix.h:101</div></div>
<div class="ttc" id="classyage_1_1Vector_html_a956f7b6d02c0309adece311f59c8beae"><div class="ttname"><a href="classyage_1_1Vector.html#a956f7b6d02c0309adece311f59c8beae">yage::Vector::toString</a></div><div class="ttdeci">std::string toString() const override</div><div class="ttdoc">Prints out the matrix, but can also be implemented by other classes to print data differently...</div><div class="ttdef"><b>Definition:</b> matrix.h:310</div></div>
<div class="ttc" id="classyage_1_1Vector2_html_a96360148b634862a31573f475b4fa53f"><div class="ttname"><a href="classyage_1_1Vector2.html#a96360148b634862a31573f475b4fa53f">yage::Vector2::x</a></div><div class="ttdeci">const Type & x() const</div><div class="ttdef"><b>Definition:</b> matrix.h:343</div></div>
<div class="ttc" id="namespaceyage_html"><div class="ttname"><a href="namespaceyage.html">yage</a></div><div class="ttdoc">Project namespace. </div><div class="ttdef"><b>Definition:</b> camera2d.cpp:13</div></div>
<div class="ttc" id="classyage_1_1Matrix_html_a83d77d3a40ced5e2b703a6d66b6e6055"><div class="ttname"><a href="classyage_1_1Matrix.html#a83d77d3a40ced5e2b703a6d66b6e6055">yage::Matrix::begin</a></div><div class="ttdeci">std::vector< Type >::iterator begin()</div><div class="ttdoc">Iterator support for the start. </div><div class="ttdef"><b>Definition:</b> matrix.h:128</div></div>
<div class="ttc" id="classyage_1_1Vector_html_a1e9c60516faeb06826666493a7ca307a"><div class="ttname"><a href="classyage_1_1Vector.html#a1e9c60516faeb06826666493a7ca307a">yage::Vector::operator[]</a></div><div class="ttdeci">const Type & operator[](int col) const</div><div class="ttdef"><b>Definition:</b> matrix.h:308</div></div>
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