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@@ -99,24 +99,29 @@ $(document).ready(function(){initNavTree('dd/d65/lu__decompose_8cpp.html','../..
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<p><a href="https://en.wikipedia.org/wiki/LU_decompositon">LU decomposition</a> of a square matrix
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <ctime></code><br />
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<div class="textblock"><code>#include <cassert></code><br />
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<code>#include <ctime></code><br />
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<code>#include <iomanip></code><br />
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<code>#include <iostream></code><br />
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<code>#include <vector></code><br />
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<code>#include "<a class="el" href="../../d1/dbe/lu__decomposition_8h_source.html">./lu_decomposition.h</a>"</code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for lu_decompose.cpp:</div>
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<div class="dyncontent">
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</div>
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</div>
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</div><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:af703fd0afe349e567d7a82350e03cace"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d65/lu__decompose_8cpp.html#af703fd0afe349e567d7a82350e03cace">lu_decomposition</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< double >> &A, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< double >> *L, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< double >> *U)</td></tr>
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<tr class="separator:af703fd0afe349e567d7a82350e03cace"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a98eb5807f21b783c341cab402ced6732"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a98eb5807f21b783c341cab402ced6732"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d65/lu__decompose_8cpp.html#a98eb5807f21b783c341cab402ced6732">operator<<</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &out, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< T >> const &v)</td></tr>
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<tr class="separator:a98eb5807f21b783c341cab402ced6732"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9459fcd1f020373d73eae2bad43786d0"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a9459fcd1f020373d73eae2bad43786d0"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d65/lu__decompose_8cpp.html#a9459fcd1f020373d73eae2bad43786d0">operator<<</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &out, <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#aed8766713ee9b561a4acdcdff5f90ea5">matrix</a>< T > const &v)</td></tr>
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<tr class="separator:a9459fcd1f020373d73eae2bad43786d0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1440a7779ac56f47a3f355ce4a8c7da0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d65/lu__decompose_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a> ()</td></tr>
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<tr class="separator:a1440a7779ac56f47a3f355ce4a8c7da0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a0283886819c7c140a023582b7269e2d0"><td class="memItemLeft" align="right" valign="top"><a id="a0283886819c7c140a023582b7269e2d0"></a>
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void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d65/lu__decompose_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a> ()</td></tr>
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<tr class="memdesc:a0283886819c7c140a023582b7269e2d0"><td class="mdescLeft"> </td><td class="mdescRight">Test determinant computation using LU decomposition. <br /></td></tr>
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<tr class="separator:a0283886819c7c140a023582b7269e2d0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d65/lu__decompose_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
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<tr class="separator:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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@@ -124,97 +129,6 @@ Functions</h2></td></tr>
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<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/LU_decompositon">LU decomposition</a> of a square matrix </p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="af703fd0afe349e567d7a82350e03cace"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#af703fd0afe349e567d7a82350e03cace">◆ </a></span>lu_decomposition()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname">int lu_decomposition </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< double >> & </td>
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<td class="paramname"><em>A</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< double >> * </td>
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<td class="paramname"><em>L</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< double >> * </td>
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<td class="paramname"><em>U</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</table>
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</div><div class="memdoc">
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<p>Perform LU decomposition on matrix </p><dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">A</td><td>matrix to decompose </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">L</td><td>output L matrix </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">U</td><td>output U matrix </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>0 if no errors </dd>
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<dd>
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negative if error occurred </dd></dl>
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<div class="fragment"><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  {</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="keywordtype">int</span> row, col, j;</div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="keywordtype">int</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> = A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keywordflow">if</span> (<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> != A[0].size()) {</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="comment">// check matrix is a square matrix</span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"Not a square matrix!\n"</span>;</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keywordflow">return</span> -1;</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  }</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="comment">// regularize each row</span></div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">for</span> (row = 0; row < <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; row++) {</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="comment">// Upper triangular matrix</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordflow">for</span> (col = row; col < <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; col++) {</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="comment">// Summation of L[i,j] * U[j,k]</span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordtype">double</span> lu_sum = 0.;</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">for</span> (j = 0; j < row; j++) lu_sum += L[0][row][j] * U[0][j][col];</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="comment">// Evaluate U[i,k]</span></div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  U[0][row][col] = A[row][col] - lu_sum;</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  }</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="comment">// Lower triangular matrix</span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordflow">for</span> (col = row; col < <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; col++) {</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">if</span> (row == col) {</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  L[0][row][col] = 1.;</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  }</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">// Summation of L[i,j] * U[j,k]</span></div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordtype">double</span> lu_sum = 0.;</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">for</span> (j = 0; j < row; j++) lu_sum += L[0][col][j] * U[0][j][row];</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">// Evaluate U[i,k]</span></div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  L[0][col][row] = (A[col][row] - lu_sum) / U[0][row][row];</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  }</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> }</div>
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</div><!-- fragment -->
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</div>
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</div>
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<a id="a3c04138a5bfe5d72780bb7e82a18e627"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">◆ </a></span>main()</h2>
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@@ -241,53 +155,24 @@ negative if error occurred </dd></dl>
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</table>
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</div><div class="memdoc">
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<p>Main function </p>
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<div class="fragment"><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  {</div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordtype">int</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> = 3; <span class="comment">// default matrix size</span></div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> range = 50;</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> range2 = range >> 1;</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">if</span> (argc == 2)</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/atoi.html">atoi</a>(argv[1]);</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a>(NULL)); <span class="comment">// random number initializer</span></div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">/* Create a square matrix with random values */</span></div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<double></a>> A(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>);</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<double></a>> L(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>); <span class="comment">// output</span></div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<double></a>> U(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>); <span class="comment">// output</span></div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; i++) {</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="comment">// calloc so that all valeus are '0' by default</span></div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  A[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>);</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  L[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>);</div>
|
||||
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  U[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>);</div>
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||||
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; j++)</div>
|
||||
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="comment">/* create random values in the limits [-range2, range-1] */</span></div>
|
||||
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  A[i][j] = <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % range - range2);</div>
|
||||
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  }</div>
|
||||
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  </div>
|
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock_t.html">std::clock_t</a> start_t = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
|
||||
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="../../dd/d65/lu__decompose_8cpp.html#af703fd0afe349e567d7a82350e03cace">lu_decomposition</a>(A, &L, &U);</div>
|
||||
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock_t.html">std::clock_t</a> end_t = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
|
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Time taken: "</span></div>
|
||||
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  << <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(end_t - start_t) / CLOCKS_PER_SEC << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
|
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"A = \n"</span> << A << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"L = \n"</span> << L << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"U = \n"</span> << U << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  </div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> }</div>
|
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<div class="fragment"><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  {</div>
|
||||
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a>(NULL)); <span class="comment">// random number initializer</span></div>
|
||||
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
|
||||
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <a class="code" href="../../dd/d65/lu__decompose_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a>();</div>
|
||||
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <a class="code" href="../../dd/d65/lu__decompose_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a>();</div>
|
||||
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> }</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d65/lu__decompose_8cpp_a3c04138a5bfe5d72780bb7e82a18e627_cgraph.svg" width="232" height="240"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../dd/d65/lu__decompose_8cpp_a3c04138a5bfe5d72780bb7e82a18e627_cgraph.svg" width="100%" height="461"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a98eb5807f21b783c341cab402ced6732">◆ </a></span>operator<<()</h2>
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<a id="a9459fcd1f020373d73eae2bad43786d0"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a9459fcd1f020373d73eae2bad43786d0">◆ </a></span>operator<<()</h2>
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@@ -303,7 +188,7 @@ template<typename T > </div>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< T >> const & </td>
|
||||
<td class="paramtype"><a class="el" href="../../d1/dbe/lu__decomposition_8h.html#aed8766713ee9b561a4acdcdff5f90ea5">matrix</a>< T > const & </td>
|
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<td class="paramname"><em>v</em> </td>
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</tr>
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<tr>
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@@ -314,23 +199,73 @@ template<typename T > </div>
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</table>
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</div><div class="memdoc">
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<p>operator to print a matrix </p>
|
||||
<div class="fragment"><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  {</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> width = 10;</div>
|
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keyword">const</span> <span class="keywordtype">char</span> separator = <span class="charliteral">' '</span>;</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  </div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row = 0; row < v.size(); row++) {</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col = 0; col < v[row].size(); col++)</div>
|
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  out << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">std::left</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/setw.html">std::setw</a>(width) << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/setfill.html">std::setfill</a>(separator)</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  << v[row][col];</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  out << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  }</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">return</span> out;</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> }</div>
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<div class="fragment"><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  {</div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> width = 10;</div>
|
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  <span class="keyword">const</span> <span class="keywordtype">char</span> separator = <span class="charliteral">' '</span>;</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  </div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row = 0; row < v.size(); row++) {</div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col = 0; col < v[row].size(); col++)</div>
|
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  out << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">std::left</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/setw.html">std::setw</a>(width) << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/setfill.html">std::setfill</a>(separator)</div>
|
||||
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  << v[row][col];</div>
|
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  out << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  }</div>
|
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordflow">return</span> out;</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> }</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d65/lu__decompose_8cpp_a98eb5807f21b783c341cab402ced6732_cgraph.svg" width="223" height="190"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d65/lu__decompose_8cpp_a9459fcd1f020373d73eae2bad43786d0_cgraph.svg" width="223" height="190"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<a id="a1440a7779ac56f47a3f355ce4a8c7da0"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a1440a7779ac56f47a3f355ce4a8c7da0">◆ </a></span>test1()</h2>
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<td class="memname">void test1 </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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</tr>
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</div><div class="memdoc">
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<p>Test LU decomposition </p><dl class="todo"><dt><b><a class="el" href="../../dd/da0/todo.html#_todo000004">Todo:</a></b></dt><dd>better ways to self-check a matrix output? </dd></dl>
|
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<div class="fragment"><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  {</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordtype">int</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> = 3; <span class="comment">// default matrix size</span></div>
|
||||
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> range = 50;</div>
|
||||
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> range2 = range >> 1;</div>
|
||||
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  </div>
|
||||
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="comment">/* Create a square matrix with random values */</span></div>
|
||||
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix<double></a> A(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>, <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<double></a>(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>));</div>
|
||||
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix<double></a> L(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>, <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<double></a>(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>)); <span class="comment">// output</span></div>
|
||||
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix<double></a> U(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>, <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<double></a>(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>)); <span class="comment">// output</span></div>
|
||||
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; i++) {</div>
|
||||
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="comment">// calloc so that all valeus are '0' by default</span></div>
|
||||
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; j++)</div>
|
||||
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="comment">/* create random values in the limits [-range2, range-1] */</span></div>
|
||||
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  A[i][j] = <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % range - range2);</div>
|
||||
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  }</div>
|
||||
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
|
||||
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock_t.html">std::clock_t</a> start_t = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
|
||||
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="../../d1/dbe/lu__decomposition_8h.html#a75b8a228c6419ecda6077255d6d60509">lu_decomposition</a>(A, &L, &U);</div>
|
||||
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock_t.html">std::clock_t</a> end_t = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
|
||||
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Time taken: "</span></div>
|
||||
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  << <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(end_t - start_t) / CLOCKS_PER_SEC << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  </div>
|
||||
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"A = \n"</span> << A << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"L = \n"</span> << L << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"U = \n"</span> << U << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> }</div>
|
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d65/lu__decompose_8cpp_a1440a7779ac56f47a3f355ce4a8c7da0_cgraph.svg" width="396" height="139"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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@@ -101,22 +101,24 @@ $(document).ready(function(){initNavTree('dd/da0/todo.html','../../'); initResiz
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<dd><a class="anchor" id="_todo000002"></a>update code to use C++ STL library features and OO structure </dd>
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<dt>File <a class="el" href="../../d7/d00/list__array_8cpp.html">list_array.cpp</a> </dt>
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<dd><a class="anchor" id="_todo000003"></a>Add documentation </dd>
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<dt>Member <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> </dt>
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<dt>Member <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp.html#a35b7c98af53ad2ec18658679ad7d43de">fib_b</a> </dt>
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<dd><a class="anchor" id="_todo000005"></a>@stepfencurryxiao add documetnation </dd>
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<dt>File <a class="el" href="../../dc/dc5/paranthesis__matching_8cpp.html">paranthesis_matching.cpp</a> </dt>
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<dd><a class="anchor" id="_todo000006"></a>implement as a C++ class </dd>
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<dd><a class="anchor" id="_todo000007"></a>This test fails </dd>
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<dd><a class="anchor" id="_todo000008"></a>This test fails </dd>
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<dt>File <a class="el" href="../../d1/df3/hash__search_8cpp.html">hash_search.cpp</a> </dt>
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<dd><a class="anchor" id="_todo000008"></a>fix the program for memory leaks and better structure in C++ and not C fashion </dd>
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<dd><a class="anchor" id="_todo000012"></a>@christianbender Get input from STDIO or write input to memory as done above. </dd>
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Reference in New Issue
Block a user