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<div class="headertitle"><div class="title">strassen_matrix_multiplication.cpp</div></div>
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</div><!--header-->
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<div class="contents">
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<div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include <cassert></span> </div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include <chrono></span> </div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <tuple></span> </div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <vector></span> </div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/dba/namespacedivide__and__conquer.html">divide_and_conquer</a> {</div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span></div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d3/d91/namespacestrassens__multiplication.html">strassens_multiplication</a> {</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span></div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="keyword">constexpr</span> <span class="keywordtype">size_t</span> MAX_SIZE = ~0ULL;</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="keyword">template</span> <<span class="keyword">typename</span> T,</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> std::is_integral<T>::value || std::is_floating_point<T>::value,</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordtype">bool</span>>::type></div>
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<div class="foldopen" id="foldopen00040" data-start="{" data-end="};">
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html"> 40</a></span><span class="keyword">class </span><a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> {</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> std::vector<std::vector<T>> _mat;</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> </div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keyword">public</span>:</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Integer,</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> std::is_integral<Integer>::value, Integer>::type></div>
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<div class="foldopen" id="foldopen00053" data-start="{" data-end="}">
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256"> 53</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a>(<span class="keyword">const</span> Integer <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>) {</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>; ++i) {</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> _mat.emplace_back(std::vector<T>(<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>, 0));</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> }</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> }</div>
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</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span></div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Integer,</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> std::is_integral<Integer>::value, Integer>::type></div>
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<div class="foldopen" id="foldopen00069" data-start="{" data-end="}">
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a4aa49765cce39ce48b9241e993e0cfb9"> 69</a></span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a4aa49765cce39ce48b9241e993e0cfb9">Matrix</a>(<span class="keyword">const</span> Integer rows, <span class="keyword">const</span> Integer cols) {</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < rows; ++i) {</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> _mat.emplace_back(std::vector<T>(cols, 0));</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> }</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> }</div>
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</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span></div>
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<div class="foldopen" id="foldopen00079" data-start="{" data-end="}">
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1"> 79</a></span> <span class="keyword">inline</span> std::pair<size_t, size_t> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">return</span> {_mat.size(), _mat[0].size()};</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> }</div>
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</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span></div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Integer,</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> std::is_integral<Integer>::value, Integer>::type></div>
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<div class="foldopen" id="foldopen00093" data-start="{" data-end="}">
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ac4c64e5723fa12a043fd0a7f5ed5bb37"> 93</a></span> <span class="keyword">inline</span> std::vector<T> &<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ac4c64e5723fa12a043fd0a7f5ed5bb37">operator[]</a>(<span class="keyword">const</span> Integer index) {</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">return</span> _mat[index];</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> }</div>
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</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span></div>
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<div class="foldopen" id="foldopen00106" data-start="{" data-end="}">
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a1fcb7db9bdeabd874712ec4f00483d17"> 106</a></span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a1fcb7db9bdeabd874712ec4f00483d17">slice</a>(<span class="keyword">const</span> <span class="keywordtype">size_t</span> row_start, <span class="keyword">const</span> <span class="keywordtype">size_t</span> row_end = MAX_SIZE,</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> col_start = MAX_SIZE,</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> col_end = MAX_SIZE)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> h_size =</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> (row_end != MAX_SIZE ? row_end : _mat.size()) - row_start;</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> v_size = (col_end != MAX_SIZE ? col_end : _mat[0].size()) -</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> (col_start != MAX_SIZE ? col_start : 0);</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> result = <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<T></a>(h_size, v_size);</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> </div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> v_start = (col_start != MAX_SIZE ? col_start : 0);</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < h_size; ++i) {</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < v_size; ++j) {</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> result._mat[i][j] = _mat[i + row_start][j + v_start];</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> }</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> }</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">return</span> result;</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> }</div>
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</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span></div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Number, <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> std::is_integral<Number>::value ||</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> std::is_floating_point<Number>::value,</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> Number>::type></div>
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<div class="foldopen" id="foldopen00134" data-start="{" data-end="}">
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ab6534125643a02c114bd4cddba9bc17f"> 134</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ab6534125643a02c114bd4cddba9bc17f">h_stack</a>(<span class="keyword">const</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a> &other) {</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> assert(_mat.size() == other._mat.size());</div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < other._mat.size(); ++i) {</div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < other._mat[i].size(); ++j) {</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> _mat[i].push_back(other._mat[i][j]);</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> }</div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> }</div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> }</div>
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</div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span></div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Number, <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> std::is_integral<Number>::value ||</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> std::is_floating_point<Number>::value,</div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> Number>::type></div>
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<div class="foldopen" id="foldopen00153" data-start="{" data-end="}">
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#af12ceffdc07cc87eca8a4a8ac87d60fe"> 153</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#af12ceffdc07cc87eca8a4a8ac87d60fe">v_stack</a>(<span class="keyword">const</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a> &other) {</div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> assert(_mat[0].<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>() == other._mat[0].size());</div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < other._mat.size(); ++i) {</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> _mat.emplace_back(std::vector<T>(other._mat[i].size()));</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < other._mat[i].size(); ++j) {</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> _mat.back()[j] = other._mat[i][j];</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> }</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> }</div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> }</div>
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</div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span></div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Number, <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> std::is_integral<Number>::value ||</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> std::is_floating_point<Number>::value,</div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keywordtype">bool</span>>::type></div>
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<div class="foldopen" id="foldopen00173" data-start="{" data-end="}">
|
|
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ad36ec1f1a97298e49de605384e5f8211"> 173</a></span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ad36ec1f1a97298e49de605384e5f8211">operator+</a>(<span class="keyword">const</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a> &other)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> assert(this-><a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>() == other.<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>());</div>
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|
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> C = <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a>(_mat.size(), _mat[0].size());</div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < _mat.size(); ++i) {</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < _mat[i].size(); ++j) {</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> C._mat[i][j] = _mat[i][j] + other._mat[i][j];</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> }</div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> }</div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keywordflow">return</span> C;</div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> }</div>
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</div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span></div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Number, <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> std::is_integral<Number>::value ||</div>
|
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> std::is_floating_point<Number>::value,</div>
|
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keywordtype">bool</span>>::type></div>
|
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<div class="foldopen" id="foldopen00194" data-start="{" data-end="}">
|
|
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae190115f8d4d31e47d7290e0b6871391"> 194</a></span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> &<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae190115f8d4d31e47d7290e0b6871391">operator+=</a>(<span class="keyword">const</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a> &other)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> assert(this-><a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>() == other.<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>());</div>
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|
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < _mat.size(); ++i) {</div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < _mat[i].size(); ++j) {</div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> _mat[i][j] += other._mat[i][j];</div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> }</div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> }</div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="keywordflow">return</span> <span class="keyword">this</span>;</div>
|
|
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> }</div>
|
|
</div>
|
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span></div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Number, <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> std::is_integral<Number>::value ||</div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> std::is_floating_point<Number>::value,</div>
|
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keywordtype">bool</span>>::type></div>
|
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<div class="foldopen" id="foldopen00214" data-start="{" data-end="}">
|
|
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a678681c9f6266a8219bd6bee6972d70e"> 214</a></span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a678681c9f6266a8219bd6bee6972d70e">operator-</a>(<span class="keyword">const</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a> &other)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> assert(this-><a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>() == other.<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>());</div>
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<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> C = <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a>(_mat.size(), _mat[0].size());</div>
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|
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < _mat.size(); ++i) {</div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < _mat[i].size(); ++j) {</div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> C._mat[i][j] = _mat[i][j] - other._mat[i][j];</div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> }</div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> }</div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <span class="keywordflow">return</span> C;</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> }</div>
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</div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span></div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Number, <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> std::is_integral<Number>::value ||</div>
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> std::is_floating_point<Number>::value,</div>
|
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <span class="keywordtype">bool</span>>::type></div>
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<div class="foldopen" id="foldopen00235" data-start="{" data-end="}">
|
|
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a42c986fb57b74fe1b7c5953cb1922c3d"> 235</a></span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> &<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a42c986fb57b74fe1b7c5953cb1922c3d">operator-=</a>(<span class="keyword">const</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a> &other)<span class="keyword"> const </span>{</div>
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|
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> assert(this-><a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>() == other.<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>());</div>
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|
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < _mat.size(); ++i) {</div>
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<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < _mat[i].size(); ++j) {</div>
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<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> _mat[i][j] -= other._mat[i][j];</div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> }</div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> }</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="keywordflow">return</span> <span class="keyword">this</span>;</div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> }</div>
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</div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span></div>
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Number, <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> std::is_integral<Number>::value ||</div>
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<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> std::is_floating_point<Number>::value,</div>
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<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <span class="keywordtype">bool</span>>::type></div>
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<div class="foldopen" id="foldopen00255" data-start="{" data-end="}">
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<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a60599668b56001cef4bb59d4cb5c6c6c"> 255</a></span> <span class="keyword">inline</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a60599668b56001cef4bb59d4cb5c6c6c">operator*</a>(<span class="keyword">const</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a> &other)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> assert(_mat[0].<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>() == other._mat.size());</div>
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<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="keyword">auto</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> = this-><a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>();</div>
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<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> row = <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>.first, col = <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>.second;</div>
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<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="comment">// Main condition for applying strassen's method:</span></div>
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<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="comment">// 1: matrix should be a square matrix</span></div>
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<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> <span class="comment">// 2: matrix should be of even size (mat.size() % 2 == 0)</span></div>
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<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="keywordflow">return</span> (row == col && (row & 1) == 0)</div>
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<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> ? this-><a class="code hl_namespace" href="../../d3/d91/namespacestrassens__multiplication.html">strassens_multiplication</a>(other)</div>
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<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> : this-><a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a5d8eb669b37a27224376b08515b4ee50">naive_multiplication</a>(other);</div>
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<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> }</div>
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</div>
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<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span></div>
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<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Number, <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> std::is_integral<Number>::value ||</div>
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<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> std::is_floating_point<Number>::value,</div>
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<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="keywordtype">bool</span>>::type></div>
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<div class="foldopen" id="foldopen00277" data-start="{" data-end="}">
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<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#aedbe01e48a96fefa0b393ec577b0f19e"> 277</a></span> <span class="keyword">inline</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#aedbe01e48a96fefa0b393ec577b0f19e">operator*</a>(<span class="keyword">const</span> Number other)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> C = <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a>(_mat.size(), _mat[0].size());</div>
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<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < _mat.size(); ++i) {</div>
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<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < _mat[i].size(); ++j) {</div>
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<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> C._mat[i][j] = _mat[i][j] * other;</div>
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<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> }</div>
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<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> }</div>
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<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keywordflow">return</span> C;</div>
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<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> }</div>
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</div>
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<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span></div>
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<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Number, <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> std::is_integral<Number>::value ||</div>
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<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> std::is_floating_point<Number>::value,</div>
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<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <span class="keywordtype">bool</span>>::type></div>
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<div class="foldopen" id="foldopen00297" data-start="{" data-end="}">
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<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#af09566a6a59d30875434c140e18e0a12"> 297</a></span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> &<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#af09566a6a59d30875434c140e18e0a12">operator*=</a>(<span class="keyword">const</span> Number other)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < _mat.size(); ++i) {</div>
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<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < _mat[i].size(); ++j) {</div>
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<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> _mat[i][j] *= other;</div>
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<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> }</div>
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<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> }</div>
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<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keywordflow">return</span> <span class="keyword">this</span>;</div>
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<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> }</div>
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</div>
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<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span></div>
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<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Number, <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> std::is_integral<Number>::value ||</div>
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<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> std::is_floating_point<Number>::value,</div>
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<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <span class="keywordtype">bool</span>>::type></div>
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<div class="foldopen" id="foldopen00316" data-start="{" data-end="}">
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<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a5d8eb669b37a27224376b08515b4ee50"> 316</a></span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a5d8eb669b37a27224376b08515b4ee50">naive_multiplication</a>(<span class="keyword">const</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a> &other)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> C = <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a>(_mat.size(), other._mat[0].size());</div>
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<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> </div>
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<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < _mat.size(); ++i) {</div>
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<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> k = 0; k < _mat[0].size(); ++k) {</div>
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<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < other._mat[0].size(); ++j) {</div>
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<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> C._mat[i][j] += _mat[i][k] * other._mat[k][j];</div>
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<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> }</div>
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<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> }</div>
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<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> }</div>
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<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="keywordflow">return</span> C;</div>
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<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> }</div>
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</div>
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<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span></div>
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<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Number, <span class="keyword">typename</span> = <span class="keyword">typename</span> std::enable_if<</div>
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<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> std::is_integral<Number>::value ||</div>
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<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> std::is_floating_point<Number>::value,</div>
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<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> <span class="keywordtype">bool</span>>::type></div>
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<div class="foldopen" id="foldopen00340" data-start="{" data-end="}">
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<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a87c2ed8f19bda2ad21ee4cbed32c394a"> 340</a></span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a87c2ed8f19bda2ad21ee4cbed32c394a">strassens_multiplication</a>(<span class="keyword">const</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a> &other)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> = _mat.size();</div>
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<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <span class="comment">// Base case: when a matrix is small enough for faster naive</span></div>
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<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> <span class="comment">// multiplication, or the matrix is of odd size, then go with the naive</span></div>
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<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> <span class="comment">// multiplication route;</span></div>
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<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> <span class="comment">// else; go with the strassen's method.</span></div>
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<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> <= 64ULL || (<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> & 1ULL)) {</div>
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<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> <span class="keywordflow">return</span> this-><a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a5d8eb669b37a27224376b08515b4ee50">naive_multiplication</a>(other);</div>
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<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> <span class="keyword">const</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<Number></a></div>
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<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> A = this-><a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a1fcb7db9bdeabd874712ec4f00483d17">slice</a>(0ULL, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1, 0ULL, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1),</div>
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<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> B = this-><a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a1fcb7db9bdeabd874712ec4f00483d17">slice</a>(0ULL, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>),</div>
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<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> C = this-><a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a1fcb7db9bdeabd874712ec4f00483d17">slice</a>(size >> 1, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>, 0ULL, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1),</div>
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<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> D = this-><a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a1fcb7db9bdeabd874712ec4f00483d17">slice</a>(size >> 1, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>),</div>
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<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> E = other.<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a1fcb7db9bdeabd874712ec4f00483d17">slice</a>(0ULL, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1, 0ULL, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1),</div>
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<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> F = other.<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a1fcb7db9bdeabd874712ec4f00483d17">slice</a>(0ULL, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>),</div>
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<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> G = other.<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a1fcb7db9bdeabd874712ec4f00483d17">slice</a>(<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>, 0ULL, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1),</div>
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<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> H = other.<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a1fcb7db9bdeabd874712ec4f00483d17">slice</a>(<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a> >> 1, <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>);</div>
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<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> </div>
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<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> P1 = A.<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a87c2ed8f19bda2ad21ee4cbed32c394a">strassens_multiplication</a>(F - H);</div>
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<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> P2 = (A + B).<a class="code hl_namespace" href="../../d3/d91/namespacestrassens__multiplication.html">strassens_multiplication</a>(H);</div>
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<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> P3 = (C + D).<a class="code hl_namespace" href="../../d3/d91/namespacestrassens__multiplication.html">strassens_multiplication</a>(E);</div>
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<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> P4 = D.strassens_multiplication(G - E);</div>
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<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> P5 = (A + D).<a class="code hl_namespace" href="../../d3/d91/namespacestrassens__multiplication.html">strassens_multiplication</a>(E + H);</div>
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<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> P6 = (B - D).<a class="code hl_namespace" href="../../d3/d91/namespacestrassens__multiplication.html">strassens_multiplication</a>(G + H);</div>
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<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> P7 = (A - C).<a class="code hl_namespace" href="../../d3/d91/namespacestrassens__multiplication.html">strassens_multiplication</a>(E + F);</div>
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<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> </div>
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<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> <span class="comment">// Building final matrix C11 would be</span></div>
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<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> <span class="comment">// [ | ]</span></div>
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<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> <span class="comment">// [ C11 | C12 ]</span></div>
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<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> <span class="comment">// C = [ ____ | ____ ]</span></div>
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<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> <span class="comment">// [ | ]</span></div>
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<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> <span class="comment">// [ C21 | C22 ]</span></div>
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<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> <span class="comment">// [ | ]</span></div>
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<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> </div>
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<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> C11 = P5 + P4 - P2 + P6;</div>
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<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> C12 = P1 + P2;</div>
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<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> C21 = P3 + P4;</div>
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<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a> C22 = P1 + P5 - P3 - P7;</div>
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<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> </div>
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<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> C21.<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ab6534125643a02c114bd4cddba9bc17f">h_stack</a>(C22);</div>
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<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> C11.<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ab6534125643a02c114bd4cddba9bc17f">h_stack</a>(C12);</div>
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<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> C11.<a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#af12ceffdc07cc87eca8a4a8ac87d60fe">v_stack</a>(C21);</div>
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<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> </div>
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<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> <span class="keywordflow">return</span> C11;</div>
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<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> }</div>
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<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> }</div>
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</div>
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<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span></div>
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<div class="foldopen" id="foldopen00393" data-start="{" data-end="}">
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<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"><a class="line" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a562faa16a4b4ed5d4804823c56f99c9c"> 393</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a562faa16a4b4ed5d4804823c56f99c9c">operator==</a>(<span class="keyword">const</span> <a class="code hl_function" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix<T></a> &other)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> <span class="keywordflow">if</span> (_mat.size() != other._mat.size() ||</div>
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<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> _mat[0].size() != other._mat[0].size()) {</div>
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<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> }</div>
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<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < _mat.size(); ++i) {</div>
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<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < _mat[i].size(); ++j) {</div>
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<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> <span class="keywordflow">if</span> (_mat[i][j] != other._mat[i][j]) {</div>
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<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> }</div>
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<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> }</div>
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<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> }</div>
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<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> }</div>
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</div>
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<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> </div>
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<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> <span class="keyword">friend</span> std::ostream &<a class="code hl_function" href="../../d7/db9/hill__cipher_8cpp.html#a34bfcd756610834acac501f9eea1e2eb">operator<<</a>(std::ostream &out, <span class="keyword">const</span> <a class="code hl_class" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">Matrix<T></a> &mat) {</div>
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<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span> &row : mat._mat) {</div>
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<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span> &elem : row) {</div>
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<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> out << elem << <span class="stringliteral">" "</span>;</div>
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<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> }</div>
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<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> out << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> }</div>
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<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> <span class="keywordflow">return</span> out << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> }</div>
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<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span>};</div>
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</div>
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<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> </div>
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<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span>} <span class="comment">// namespace strassens_multiplication</span></div>
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<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> </div>
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<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span>} <span class="comment">// namespace divide_and_conquer</span></div>
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<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span></div>
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<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
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<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> s = 512;</div>
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<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> <span class="keyword">auto</span> matrix_demo =</div>
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<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> <a class="code hl_class" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix<size_t></a>(s, s);</div>
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<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> </div>
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<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < s; ++i) {</div>
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<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < s; ++j) {</div>
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<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> matrix_demo[i][j] = i + j;</div>
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<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span> }</div>
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<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> }</div>
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<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span> </div>
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<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> <span class="keyword">auto</span> matrix_demo2 =</div>
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<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span> <a class="code hl_class" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix<size_t></a>(s, s);</div>
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<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < s; ++i) {</div>
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<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < s; ++j) {</div>
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<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span> matrix_demo2[i][j] = 2 + i + j;</div>
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<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> }</div>
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<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span> }</div>
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<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span> </div>
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<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> <span class="keyword">auto</span> start = std::chrono::system_clock::now();</div>
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<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> <span class="keyword">auto</span> Mat3 = matrix_demo2 * matrix_demo;</div>
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<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span> <span class="keyword">auto</span> end = std::chrono::system_clock::now();</div>
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<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span> </div>
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<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> std::chrono::duration<double> time = (end - start);</div>
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<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span> std::cout << <span class="stringliteral">"Strassen time: "</span> << time.count() << <span class="stringliteral">"s"</span> << std::endl;</div>
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<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span> </div>
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<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span> start = std::chrono::system_clock::now();</div>
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<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span> <span class="keyword">auto</span> conf = matrix_demo2.naive_multiplication(matrix_demo);</div>
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<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> end = std::chrono::system_clock::now();</div>
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<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> </div>
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<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> time = end - start;</div>
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<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> std::cout << <span class="stringliteral">"Normal time: "</span> << time.count() << <span class="stringliteral">"s"</span> << std::endl;</div>
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<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> </div>
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<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> <span class="comment">// std::cout << Mat3 << conf << std::endl;</span></div>
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<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> assert(Mat3 == conf);</div>
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<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span>}</div>
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<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span></div>
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<div class="line"><a id="l00468" name="l00468"></a><span class="lineno"> 468</span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00469" name="l00469"></a><span class="lineno"> 469</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementation</span></div>
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<div class="line"><a id="l00470" name="l00470"></a><span class="lineno"> 470</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00471" name="l00471"></a><span class="lineno"> 471</span>}</div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix</a></div><div class="ttdoc">Matrix class.</div><div class="ttdef"><b>Definition</b> <a href="#l00040">strassen_matrix_multiplication.cpp:40</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_a01f3a05cf5abdc5d63999ef1bf9f9256"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">divide_and_conquer::strassens_multiplication::Matrix::Matrix</a></div><div class="ttdeci">Matrix(const Integer size)</div><div class="ttdoc">Constructor.</div><div class="ttdef"><b>Definition</b> <a href="#l00053">strassen_matrix_multiplication.cpp:53</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_a1fcb7db9bdeabd874712ec4f00483d17"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a1fcb7db9bdeabd874712ec4f00483d17">divide_and_conquer::strassens_multiplication::Matrix::slice</a></div><div class="ttdeci">Matrix slice(const size_t row_start, const size_t row_end=MAX_SIZE, const size_t col_start=MAX_SIZE, const size_t col_end=MAX_SIZE) const</div><div class="ttdoc">Creates a new matrix and returns a part of it.</div><div class="ttdef"><b>Definition</b> <a href="#l00106">strassen_matrix_multiplication.cpp:106</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_a42c986fb57b74fe1b7c5953cb1922c3d"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a42c986fb57b74fe1b7c5953cb1922c3d">divide_and_conquer::strassens_multiplication::Matrix::operator-=</a></div><div class="ttdeci">Matrix & operator-=(const Matrix< Number > &other) const</div><div class="ttdoc">Subtract another matrices to current matrix.</div><div class="ttdef"><b>Definition</b> <a href="#l00235">strassen_matrix_multiplication.cpp:235</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_a4aa49765cce39ce48b9241e993e0cfb9"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a4aa49765cce39ce48b9241e993e0cfb9">divide_and_conquer::strassens_multiplication::Matrix::Matrix</a></div><div class="ttdeci">Matrix(const Integer rows, const Integer cols)</div><div class="ttdoc">Constructor.</div><div class="ttdef"><b>Definition</b> <a href="#l00069">strassen_matrix_multiplication.cpp:69</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_a562faa16a4b4ed5d4804823c56f99c9c"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a562faa16a4b4ed5d4804823c56f99c9c">divide_and_conquer::strassens_multiplication::Matrix::operator==</a></div><div class="ttdeci">bool operator==(const Matrix< T > &other) const</div><div class="ttdoc">Compares two matrices if each of them are equal or not.</div><div class="ttdef"><b>Definition</b> <a href="#l00393">strassen_matrix_multiplication.cpp:393</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_a5d8eb669b37a27224376b08515b4ee50"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a5d8eb669b37a27224376b08515b4ee50">divide_and_conquer::strassens_multiplication::Matrix::naive_multiplication</a></div><div class="ttdeci">Matrix naive_multiplication(const Matrix< Number > &other) const</div><div class="ttdoc">Naive multiplication performed on this.</div><div class="ttdef"><b>Definition</b> <a href="#l00316">strassen_matrix_multiplication.cpp:316</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_a60599668b56001cef4bb59d4cb5c6c6c"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a60599668b56001cef4bb59d4cb5c6c6c">divide_and_conquer::strassens_multiplication::Matrix::operator*</a></div><div class="ttdeci">Matrix operator*(const Matrix< Number > &other) const</div><div class="ttdoc">Multiply two matrices and returns a new matrix.</div><div class="ttdef"><b>Definition</b> <a href="#l00255">strassen_matrix_multiplication.cpp:255</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_a678681c9f6266a8219bd6bee6972d70e"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a678681c9f6266a8219bd6bee6972d70e">divide_and_conquer::strassens_multiplication::Matrix::operator-</a></div><div class="ttdeci">Matrix operator-(const Matrix< Number > &other) const</div><div class="ttdoc">Subtract two matrices and returns a new matrix.</div><div class="ttdef"><b>Definition</b> <a href="#l00214">strassen_matrix_multiplication.cpp:214</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_a87c2ed8f19bda2ad21ee4cbed32c394a"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a87c2ed8f19bda2ad21ee4cbed32c394a">divide_and_conquer::strassens_multiplication::Matrix::strassens_multiplication</a></div><div class="ttdeci">Matrix strassens_multiplication(const Matrix< Number > &other) const</div><div class="ttdoc">Strassens method of multiplying two matrices References: https://en.wikipedia.org/wiki/Strassen_algor...</div><div class="ttdef"><b>Definition</b> <a href="#l00340">strassen_matrix_multiplication.cpp:340</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_ab6534125643a02c114bd4cddba9bc17f"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ab6534125643a02c114bd4cddba9bc17f">divide_and_conquer::strassens_multiplication::Matrix::h_stack</a></div><div class="ttdeci">void h_stack(const Matrix< Number > &other)</div><div class="ttdoc">Horizontally stack the matrix (one after the other)</div><div class="ttdef"><b>Definition</b> <a href="#l00134">strassen_matrix_multiplication.cpp:134</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_ac4c64e5723fa12a043fd0a7f5ed5bb37"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ac4c64e5723fa12a043fd0a7f5ed5bb37">divide_and_conquer::strassens_multiplication::Matrix::operator[]</a></div><div class="ttdeci">std::vector< T > & operator[](const Integer index)</div><div class="ttdoc">returns the address of the element at ith place (here ith row of the matrix)</div><div class="ttdef"><b>Definition</b> <a href="#l00093">strassen_matrix_multiplication.cpp:93</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_ad36ec1f1a97298e49de605384e5f8211"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ad36ec1f1a97298e49de605384e5f8211">divide_and_conquer::strassens_multiplication::Matrix::operator+</a></div><div class="ttdeci">Matrix operator+(const Matrix< Number > &other) const</div><div class="ttdoc">Add two matrices and returns a new matrix.</div><div class="ttdef"><b>Definition</b> <a href="#l00173">strassen_matrix_multiplication.cpp:173</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_ae190115f8d4d31e47d7290e0b6871391"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae190115f8d4d31e47d7290e0b6871391">divide_and_conquer::strassens_multiplication::Matrix::operator+=</a></div><div class="ttdeci">Matrix & operator+=(const Matrix< Number > &other) const</div><div class="ttdoc">Add another matrices to current matrix.</div><div class="ttdef"><b>Definition</b> <a href="#l00194">strassen_matrix_multiplication.cpp:194</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_ae4e183ec8eab778cb243e4ae0b22a0f1"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">divide_and_conquer::strassens_multiplication::Matrix::size</a></div><div class="ttdeci">std::pair< size_t, size_t > size() const</div><div class="ttdoc">Get the matrix shape.</div><div class="ttdef"><b>Definition</b> <a href="#l00079">strassen_matrix_multiplication.cpp:79</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_aedbe01e48a96fefa0b393ec577b0f19e"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#aedbe01e48a96fefa0b393ec577b0f19e">divide_and_conquer::strassens_multiplication::Matrix::operator*</a></div><div class="ttdeci">Matrix operator*(const Number other) const</div><div class="ttdoc">Multiply matrix with a number and returns a new matrix.</div><div class="ttdef"><b>Definition</b> <a href="#l00277">strassen_matrix_multiplication.cpp:277</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_af09566a6a59d30875434c140e18e0a12"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#af09566a6a59d30875434c140e18e0a12">divide_and_conquer::strassens_multiplication::Matrix::operator*=</a></div><div class="ttdeci">Matrix & operator*=(const Number other) const</div><div class="ttdoc">Multiply a number to current matrix.</div><div class="ttdef"><b>Definition</b> <a href="#l00297">strassen_matrix_multiplication.cpp:297</a></div></div>
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<div class="ttc" id="aclassdivide__and__conquer_1_1strassens__multiplication_1_1_matrix_html_af12ceffdc07cc87eca8a4a8ac87d60fe"><div class="ttname"><a href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#af12ceffdc07cc87eca8a4a8ac87d60fe">divide_and_conquer::strassens_multiplication::Matrix::v_stack</a></div><div class="ttdeci">void v_stack(const Matrix< Number > &other)</div><div class="ttdoc">Horizontally stack the matrix (current matrix above the other)</div><div class="ttdef"><b>Definition</b> <a href="#l00153">strassen_matrix_multiplication.cpp:153</a></div></div>
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<div class="ttc" id="agenerate__parentheses_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00082">generate_parentheses.cpp:82</a></div></div>
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<div class="ttc" id="agenerate__parentheses_8cpp_html_gae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00110">generate_parentheses.cpp:110</a></div></div>
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<div class="ttc" id="ahill__cipher_8cpp_html_a34bfcd756610834acac501f9eea1e2eb"><div class="ttname"><a href="../../d7/db9/hill__cipher_8cpp.html#a34bfcd756610834acac501f9eea1e2eb">operator<<</a></div><div class="ttdeci">static std::ostream & operator<<(std::ostream &out, matrix< T > const &v)</div><div class="ttdef"><b>Definition</b> <a href="../../d7/db9/hill__cipher_8cpp_source.html#l00055">hill_cipher.cpp:55</a></div></div>
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<div class="ttc" id="anamespacedivide__and__conquer_html"><div class="ttname"><a href="../../dd/dba/namespacedivide__and__conquer.html">divide_and_conquer</a></div><div class="ttdoc">for IO operations</div></div>
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<div class="ttc" id="anamespacestrassens__multiplication_html"><div class="ttname"><a href="../../d3/d91/namespacestrassens__multiplication.html">strassens_multiplication</a></div><div class="ttdoc">Namespace for performing strassen's multiplication.</div></div>
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