Documentation for 5b238724b8

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@@ -115,7 +115,6 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Dynamic Programming algorithms. </p>
<p>Dynamic programming algorithms.</p>
<p>for unordered map</p>
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></p>
<p>Dynamic Programming algorithm.</p>
<p>Dynamic Programming Algorithms.</p>
@@ -126,7 +125,7 @@ Functions</h2></td></tr>
<p>Dynamic Programming algorithms</p>
<p>for assert for IO operations</p>
<p>Dynamic Programming algorithms</p>
<p>for std::assert for IO operations for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></p>
<p>for std::assert for IO operations for unordered map</p>
<p>Dynamic Programming algorithms </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a0a2215194e58786c34db1ccaf8031079" name="a0a2215194e58786c34db1ccaf8031079"></a>

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<div class="headertitle"><div class="title">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt; Member List</div></div>
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<p>This is the complete list of members for <a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a>, including all inherited members.</p>
<table class="directory">
<tr bgcolor="#f0f0f0" class="even"><td class="entry"><b>_mat</b> (defined in <a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a>)</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ab6534125643a02c114bd4cddba9bc17f">h_stack</a>(const Matrix&lt; Number &gt; &amp;other)</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a01f3a05cf5abdc5d63999ef1bf9f9256">Matrix</a>(const Integer size)</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a4aa49765cce39ce48b9241e993e0cfb9">Matrix</a>(const Integer rows, const Integer cols)</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a5d8eb669b37a27224376b08515b4ee50">naive_multiplication</a>(const Matrix&lt; Number &gt; &amp;other) const</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a60599668b56001cef4bb59d4cb5c6c6c">operator*</a>(const Matrix&lt; Number &gt; &amp;other) const</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#aedbe01e48a96fefa0b393ec577b0f19e">operator*</a>(const Number other) const</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#af09566a6a59d30875434c140e18e0a12">operator*=</a>(const Number other) const</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ad36ec1f1a97298e49de605384e5f8211">operator+</a>(const Matrix&lt; Number &gt; &amp;other) const</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae190115f8d4d31e47d7290e0b6871391">operator+=</a>(const Matrix&lt; Number &gt; &amp;other) const</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a678681c9f6266a8219bd6bee6972d70e">operator-</a>(const Matrix&lt; Number &gt; &amp;other) const</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a42c986fb57b74fe1b7c5953cb1922c3d">operator-=</a>(const Matrix&lt; Number &gt; &amp;other) const</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr bgcolor="#f0f0f0" class="even"><td class="entry"><b>operator&lt;&lt;</b> (defined in <a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a>)</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">friend</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a562faa16a4b4ed5d4804823c56f99c9c">operator==</a>(const Matrix&lt; T &gt; &amp;other) const</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ac4c64e5723fa12a043fd0a7f5ed5bb37">operator[]</a>(const Integer index)</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#ae4e183ec8eab778cb243e4ae0b22a0f1">size</a>() const</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a1fcb7db9bdeabd874712ec4f00483d17">slice</a>(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</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="odd"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#a87c2ed8f19bda2ad21ee4cbed32c394a">strassens_multiplication</a>(const Matrix&lt; Number &gt; &amp;other) const</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html#af12ceffdc07cc87eca8a4a8ac87d60fe">v_stack</a>(const Matrix&lt; Number &gt; &amp;other)</td><td class="entry"><a class="el" href="../../dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html">divide_and_conquer::strassens_multiplication::Matrix&lt; T, typename &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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@@ -105,7 +105,11 @@ $(document).ready(function(){initNavTree('dd/dba/namespacedivide__and__conquer.h
<a href="../../dd/dba/namespacedivide__and__conquer.html#details">More...</a></p>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </p>
<p><a href="https://en.wikipedia.org/wiki/Strassen_algorithm" target="_blank">Strassen's algorithm</a> is one of the methods for multiplying two matrices. It is one of the faster algorithms for larger matrices than naive multiplication method.</p>
<p>for assert for string for IO operations</p>
<p>Divide and Conquer algorithms</p>
<p>It involves dividing each matrices into 4 blocks, given they are evenly divisible, and are combined with new defined matrices involving 7 matrix multiplications instead of eight, yielding O(n^2.8073) complexity.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/AshishYUO" target="_blank">AshishYUO</a> For assert operation For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/d4/d0c/namespacestd_1_1chrono.html">std::chrono</a>; time measurement For I/O operations For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/tuple.html">std::tuple</a> For creating dynamic arrays</dd></dl>
<p>Divide and Conquer algorithms </p>
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