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<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_f562165b51c585c003877be645f219b5.html">YAGE</a></li><li class="navelem"><a class="el" href="dir_5ac3a90c14a160db9539610948ce4998.html">Math</a></li> </ul>
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<a href="matrix_8hpp.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.hpp</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="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#ifndef YAGE_MATH_MATRIX_HPP</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#define YAGE_MATH_MATRIX_HPP</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> </div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#include <algorithm></span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include <exception></span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#include <iostream></span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include <sstream></span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <string></span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <vector></span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> </div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">namespace </span><a class="code" href="namespaceyage.html">yage</a></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> {</div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div><div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="classyage_1_1Matrix.html"> 29</a></span> <span class="keyword">template</span><<span class="keywordtype">int</span> Rows, <span class="keywordtype">int</span> Cols, <span class="keyword">class</span> Type> <span class="keyword">class </span><a class="code" href="classyage_1_1Matrix.html">Matrix</a>;</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// includes implementation details that should not be accessible to the user</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">namespace </span>detail</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> {</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> </div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// Row class</span></div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">//</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// Used to implement the double square bracket operator and be able</span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// to return the value by reference of the array.</span></div><div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="classyage_1_1detail_1_1Row.html"> 39</a></span> <span class="keyword">template</span><<span class="keywordtype">int</span> Rows, <span class="keywordtype">int</span> Cols, <span class="keyword">class</span> Type> <span class="keyword">class </span><a class="code" href="classyage_1_1detail_1_1Row.html">Row</a></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> {</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">private</span>:</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a> *parent_;</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordtype">int</span> index_;</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="keyword">public</span>:</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="classyage_1_1detail_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="l00047"></a><span class="lineno"> 47</span>  parent_(parent), index_(index)</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> </div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  Type& operator[](<span class="keywordtype">int</span> col)</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  {</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="comment">// the index is the y-position of the element in the matrix</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordflow">return</span> parent_->data_[index_*Cols+col];</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  }</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span> </div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keyword">const</span> Type& operator[](<span class="keywordtype">int</span> col)<span class="keyword"> const</span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">return</span> parent_->data_[index_*Cols+col];</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  }</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span> };</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span> } <span class="comment">// detail</span></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> <span class="comment">// Matrix class</span></div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment">//</span></div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment">// Implements the base Matrix class that is inherited by other classes to make them more</span></div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment">// specific.</span></div><div class="line"><a name="l00068"></a><span class="lineno"> 68</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>> <span class="keyword">class </span><a class="code" href="classyage_1_1Matrix.html">Matrix</a></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>  <span class="comment">// friended with the row class so that it can access protected member data</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keyword">friend</span> <span class="keyword">class </span><a class="code" href="classyage_1_1detail_1_1Row.html">detail::Row</a><Rows, Cols, Type>;</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="keyword">protected</span>:</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  std::vector<Type> data_;</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="keyword">public</span>:</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a>() : data_(Rows*Cols) {}</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  </div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordtype">int</span> rowSize()<span class="keyword"> const</span></div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">return</span> Rows;</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  }</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span> </div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordtype">int</span> colSize()<span class="keyword"> const</span></div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">return</span> Cols;</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  }</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span> </div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">// returns the row in a row matrix</span></div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<1, Cols, Type></a> getRow(<span class="keywordtype">int</span> row)<span class="keyword"> const</span></div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<1, Cols, Type></a> rowMatrix;</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0; i<Cols; ++i)</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  {</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  rowMatrix[0][i]=data_[row][i];</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  }</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">return</span> rowMatrix;</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span> </div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="comment">// returns the column in a column matrix</span></div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, 1, Type></a> getCol(<span class="keywordtype">int</span> col)<span class="keyword"> const</span></div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, 1, Type></a> colMatrix;</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0; i<Rows; ++i)</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  {</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  colMatrix[i][0]=data_[i][col];</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> colMatrix;</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="l00110"></a><span class="lineno"> 110</span>  <span class="comment">// iterator support for begin</span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keyword">typename</span> std::vector<Type>::iterator begin()</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  {</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">return</span> data_.begin();</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  }</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span> </div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="comment">// iterator support for end</span></div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">typename</span> std::vector<Type>::iterator end()</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  {</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">return</span> data_.end();</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> </div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="comment">// prints out the matrix, but can also be implemented by other classes to print data</span></div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="comment">// differently</span></div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keyword">virtual</span> std::string toString()<span class="keyword"> const</span></div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  std::stringstream ss;</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  ss<<<span class="charliteral">'['</span>;</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0; i<Rows-1; ++i)</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  {</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  ss<<<span class="charliteral">'['</span>;</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0; j<Cols-1; ++j)</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  {</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  ss<<data_[i*Cols+j]<<<span class="charliteral">' '</span>;</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  }</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  ss<<data_[(Rows-1)*Cols+Cols-1]<<<span class="stringliteral">"],"</span>;</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  }</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  ss<<<span class="charliteral">'['</span>;</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0; j<Cols-1; ++j)</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  {</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  ss<<data_[(Rows-1)*Cols+j]<<<span class="charliteral">' '</span>;</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  }</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  ss<<data_[(Rows-1)*Cols+Cols-1]<<<span class="stringliteral">"]]"</span>;</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordflow">return</span> ss.str();</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  }</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span> </div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="code" href="classyage_1_1detail_1_1Row.html">detail::Row<Rows, Cols, Type></a> operator[](<span class="keywordtype">int</span> row)</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  {</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">return</span> <a class="code" href="classyage_1_1detail_1_1Row.html">detail::Row<Rows, Cols, Type></a>(<span class="keyword">this</span>, row);</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  }</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span> </div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <a class="code" href="classyage_1_1detail_1_1Row.html">detail::Row<Rows, Cols, Type></a> operator[](<span class="keywordtype">int</span> row)<span class="keyword"> const</span></div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="comment">// TODO got to fix this</span></div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keywordflow">return</span> <a class="code" href="classyage_1_1detail_1_1Row.html">detail::Row<Rows, Cols, Type></a>((<a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a>*)<span class="keyword">this</span>, row);</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</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>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a>& operator=(<span class="keyword">const</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a> &other)</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  {</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordflow">if</span>(<span class="keyword">this</span>!=&other)</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  {</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  data_=other.data_;</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> *<span class="keyword">this</span>;</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"> 166</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a>& operator+=(<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="l00167"></a><span class="lineno"> 167</span>  {</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  std::vector<Type> out;</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  out.reserve(data_.size());</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  std::transform(data_.begin(), data_.end(), rhs.data_.begin(), std::back_inserter(out),</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  [] (Type a, Type b) {</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">return</span> a+b;</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>  data_=std::move(out);</div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  }</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span> </div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, Cols, Type></a>& operator-=(<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="l00179"></a><span class="lineno"> 179</span>  {</div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  std::vector<Type> out;</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  out.reserve(data_.size());</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  std::transform(data_.begin(), data_.end(), rhs.begin(), std::back_inserter(out),</div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  [] (Type a, Type b) {</div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keywordflow">return</span> a-b;</div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  });</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  data_=std::move(out);</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  }</div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span> };</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span> </div><div class="line"><a name="l00191"></a><span class="lineno"> 191</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="l00192"></a><span class="lineno"> 192</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> operator+(<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="l00193"></a><span class="lineno"> 193</span> {</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  lhs+=rhs;</div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span> }</div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span> </div><div class="line"><a name="l00198"></a><span class="lineno"> 198</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="l00199"></a><span class="lineno"> 199</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> operator-(<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="l00200"></a><span class="lineno"> 200</span> {</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  lhs-=rhs;</div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span> }</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span> </div><div class="line"><a name="l00205"></a><span class="lineno"> 205</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="l00206"></a><span class="lineno"> 206</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> operator+(<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="l00207"></a><span class="lineno"> 207</span> {</div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keywordflow">for</span>(<span class="keyword">auto</span> &data : lhs)</div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  {</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  data+=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">return</span> lhs;</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span> }</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="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="l00216"></a><span class="lineno"> 216</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> operator+(<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="l00217"></a><span class="lineno"> 217</span> {</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordflow">for</span>(<span class="keyword">auto</span> &data : rhs)</div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  {</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  data+=lhs;</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  }</div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="keywordflow">return</span> rhs;</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> </div><div class="line"><a name="l00225"></a><span class="lineno"> 225</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="l00226"></a><span class="lineno"> 226</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> operator-(<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="l00227"></a><span class="lineno"> 227</span> {</div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordflow">for</span>(<span class="keyword">auto</span> &data : lhs)</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>  data-=rhs;</div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  }</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordflow">return</span> lhs;</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span> }</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> <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="l00236"></a><span class="lineno"> 236</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> operator-(<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="l00237"></a><span class="lineno"> 237</span> {</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keywordflow">for</span>(<span class="keyword">auto</span> &data : rhs)</div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  {</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"> 246</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> operator*(<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>  {</div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  data*=rhs;</div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  }</div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keywordflow">return</span> lhs;</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> </div><div class="line"><a name="l00255"></a><span class="lineno"> 255</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="l00256"></a><span class="lineno"> 256</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> operator*(<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="l00257"></a><span class="lineno"> 257</span> {</div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keywordflow">for</span>(<span class="keyword">auto</span> &data : rhs)</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>  data*=lhs;</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>  <span class="keywordflow">return</span> rhs;</div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span> }</div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span> </div><div class="line"><a name="l00265"></a><span class="lineno"> 265</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="l00266"></a><span class="lineno"> 266</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, N, T></a> operator/(<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="l00267"></a><span class="lineno"> 267</span> {</div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keywordflow">for</span>(<span class="keyword">auto</span> &data : lhs)</div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  {</div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  data/=rhs;</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="keywordflow">return</span> lhs;</div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span> }</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="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="l00276"></a><span class="lineno"> 276</span> <span class="keywordtype">bool</span> operator==(<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="l00277"></a><span class="lineno"> 277</span> {</div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0; i<M; ++i)</div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0; j<N; ++j)</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="keywordflow">if</span>(lhs[i][j]!=rhs[i][j])</div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keywordflow">return</span> <span class="keyword">false</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"> 286</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"><a class="line" href="classyage_1_1Vector.html"> 291</a></span> <span class="keyword">template</span><<span class="keywordtype">int</span> Rows=2, <span class="keyword">class</span> Type=<span class="keywordtype">double</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="l00292"></a><span class="lineno"> 292</span> {</div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <span class="keyword">public</span>:</div><div class="line"><a name="l00294"></a><span class="lineno"> 294</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="l00295"></a><span class="lineno"> 295</span>  <span class="keyword">explicit</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) : <a class="code" href="classyage_1_1Matrix.html">Matrix<Rows, 1, Type></a>(other) {}</div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span> </div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  Type& operator[](<span class="keywordtype">int</span> col)</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>  <span class="keywordflow">return</span> this->data_[col];</div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  }</div><div class="line"><a name="l00301"></a><span class="lineno"> 301</span> </div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="keyword">const</span> Type& operator[](<span class="keywordtype">int</span> col)<span class="keyword"> const</span></div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keywordflow">return</span> this->data_[col];</div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  }</div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span> </div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keyword">virtual</span> std::string toString()<span class="keyword"> const</span></div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  std::stringstream ss;</div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  ss<<<span class="stringliteral">"["</span>;</div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keywordflow">for</span>(std::size_t i=0; i<this->data_.size()-1; ++i)</div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  {</div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  ss<<this->data_[i]<<<span class="stringliteral">" "</span>;</div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  }</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  ss<<this->data_[this->data_.size()-1]<<<span class="stringliteral">"]"</span>;</div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="keywordflow">return</span> ss.str();</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  }</div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span> };</div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span> </div><div class="line"><a name="l00320"></a><span class="lineno"><a class="line" href="classyage_1_1Vector2.html"> 320</a></span> <span class="keyword">template</span><<span class="keyword">class</span> Type=<span class="keywordtype">double</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="l00321"></a><span class="lineno"> 321</span> {</div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span> <span class="keyword">public</span>:</div><div class="line"><a name="l00323"></a><span class="lineno"> 323</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="l00324"></a><span class="lineno"> 324</span>  </div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <a class="code" href="classyage_1_1Vector2.html">Vector2<Type></a>(Type x, Type y)</div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  {</div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  this->data_[0]=x;</div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  this->data_[1]=y;</div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  }</div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  </div><div class="line"><a name="l00331"></a><span class="lineno"> 331</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="l00332"></a><span class="lineno"> 332</span> </div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  Type& x()</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>  <span class="keywordflow">return</span> this->data_[0];</div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  }</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>  <span class="keyword">const</span> Type& x()<span class="keyword"> const</span></div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="keywordflow">return</span> this->data_[0];</div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  }</div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  </div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  Type& y()</div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  {</div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <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"> 347</span> </div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <span class="keyword">const</span> Type& y()<span class="keyword"> const</span></div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <span class="keywordflow">return</span> this->data_[1];</div><div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  } </div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span> };</div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span> </div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span> <span class="keyword">typedef</span> <a class="code" href="classyage_1_1Vector2.html">Vector2<double></a> <a class="code" href="classyage_1_1Vector2.html">Vector2d</a>;</div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span> </div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span> <span class="keyword">namespace </span>matrix</div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span> {</div><div class="line"><a name="l00358"></a><span class="lineno"> 358</span> </div><div class="line"><a name="l00359"></a><span class="lineno"> 359</span> <span class="keyword">template</span><<span class="keywordtype">int</span> M, <span class="keywordtype">int</span> N, <span class="keyword">class</span> T> <a class="code" href="classyage_1_1Matrix.html">Matrix<N, M, T></a> transpose(<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="l00360"></a><span class="lineno"> 360</span> {</div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<N, M, T></a> trans;</div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0; i<M; ++i)</div><div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  {</div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0; j<N; ++j)</div><div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  {</div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  trans[j][i]=m[i][j];</div><div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  }</div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  }</div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keywordflow">return</span> trans;</div><div class="line"><a name="l00370"></a><span class="lineno"> 370</span> }</div><div class="line"><a name="l00371"></a><span class="lineno"> 371</span> </div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span> <span class="keyword">template</span><<span class="keywordtype">int</span> R, <span class="keyword">class</span> T> T dot(<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="l00373"></a><span class="lineno"> 373</span> {</div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  T sum=0;</div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0; i<R; ++i)</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>  sum += m1[i][0]*m2[i][0];</div><div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  }</div><div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <span class="keywordflow">return</span> sum;</div><div class="line"><a name="l00380"></a><span class="lineno"> 380</span> }</div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span> </div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span> <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="l00383"></a><span class="lineno"> 383</span> <a class="code" href="classyage_1_1Matrix.html">Matrix<M, Q, T></a> multiply(<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="l00384"></a><span class="lineno"> 384</span> {</div><div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  <span class="keywordflow">if</span>(N!=P)</div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  {</div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">"Matrices don't have the right dimensions for multiplication"</span>);</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>  </div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <a class="code" href="classyage_1_1Matrix.html">Matrix<M, Q, T></a> res;</div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span> </div><div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0; i<M; ++i)</div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  {</div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0; j<Q; ++j)</div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  {</div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  res[i][j] = dot(transpose(m1.getRow(i)), m2.getCol(j));</div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  }</div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  }</div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span> </div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  <span class="keywordflow">return</span> res;</div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span> }</div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span> </div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span> } <span class="comment">// matrix</span></div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span> </div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span> } <span class="comment">// yage</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> <span class="preprocessor">#endif</span></div><div class="ttc" id="classyage_1_1Vector2_html"><div class="ttname"><a href="classyage_1_1Vector2.html">yage::Vector2</a></div><div class="ttdef"><b>Definition:</b> matrix.hpp:320</div></div>
<div class="ttc" id="classyage_1_1detail_1_1Row_html"><div class="ttname"><a href="classyage_1_1detail_1_1Row.html">yage::detail::Row</a></div><div class="ttdef"><b>Definition:</b> matrix.hpp:39</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.hpp:291</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="ttdef"><b>Definition:</b> matrix.hpp:29</div></div>
<div class="ttc" id="namespaceyage_html"><div class="ttname"><a href="namespaceyage.html">yage</a></div><div class="ttdef"><b>Definition:</b> camera2d.hpp:17</div></div>
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