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realstealthninja
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<title>TheAlgorithms/C++: numerical_methods/qr_decomposition.cpp File Reference</title>
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var searchBox = new SearchBox("searchBox", "../../search/",'.html');
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@@ -147,6 +147,12 @@ Include dependency graph for qr_decomposition.cpp:</div>
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Functions</h2></td></tr>
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<tr class="memitem:a840291bc02cba5474a4cb46a9b9566fe" id="r_a840291bc02cba5474a4cb46a9b9566fe"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a840291bc02cba5474a4cb46a9b9566fe">main</a> (void)</td></tr>
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<tr class="separator:a840291bc02cba5474a4cb46a9b9566fe"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a73ce637634fc49e1d10d190eb388ebf1" id="r_a73ce637634fc49e1d10d190eb388ebf1"><td class="memTemplParams" colspan="2">template<typename T> </td></tr>
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<tr class="memitem:a73ce637634fc49e1d10d190eb388ebf1"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a73ce637634fc49e1d10d190eb388ebf1">qr_decompose</a> (const std::valarray< std::valarray< T > > &A, std::valarray< std::valarray< T > > *Q, std::valarray< std::valarray< T > > *R)</td></tr>
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<tr class="separator:a73ce637634fc49e1d10d190eb388ebf1"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:adfbdf47277c8cfee229b05b72f1f7834" id="r_adfbdf47277c8cfee229b05b72f1f7834"><td class="memTemplParams" colspan="2">template<typename T> </td></tr>
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<tr class="memitem:adfbdf47277c8cfee229b05b72f1f7834"><td class="memTemplItemLeft" align="right" valign="top">std::ostream & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#adfbdf47277c8cfee229b05b72f1f7834">operator<<</a> (std::ostream &out, std::valarray< std::valarray< T > > const &v)</td></tr>
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<tr class="separator:adfbdf47277c8cfee229b05b72f1f7834"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Program to compute the <a href="https://en.wikipedia.org/wiki/QR_decomposition" target="_blank">QR decomposition</a> of a given matrix. </p>
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@@ -198,7 +204,7 @@ Functions</h2></td></tr>
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<div class="line"><span class="lineno"> 47</span> std::cout << A << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><span class="lineno"> 48</span> </div>
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<div class="line"><span class="lineno"> 49</span> clock_t t1 = clock();</div>
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<div class="line"><span class="lineno"> 50</span> qr_decompose(A, &Q, &R);</div>
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<div class="line"><span class="lineno"> 50</span> <a class="code hl_function" href="#a73ce637634fc49e1d10d190eb388ebf1">qr_decompose</a>(A, &Q, &R);</div>
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<div class="line"><span class="lineno"> 51</span> <span class="keywordtype">double</span> dtime = <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(clock() - t1) / CLOCKS_PER_SEC;</div>
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<div class="line"><span class="lineno"> 52</span> </div>
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<div class="line"><span class="lineno"> 53</span> std::cout << Q << <span class="stringliteral">"\n"</span>;</div>
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@@ -207,6 +213,170 @@ Functions</h2></td></tr>
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<div class="line"><span class="lineno"> 56</span> </div>
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<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 58</span>}</div>
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<div class="ttc" id="aqr__decomposition_8cpp_html_a73ce637634fc49e1d10d190eb388ebf1"><div class="ttname"><a href="#a73ce637634fc49e1d10d190eb388ebf1">qr_decompose</a></div><div class="ttdeci">void qr_decompose(const std::valarray< std::valarray< T > > &A, std::valarray< std::valarray< T > > *Q, std::valarray< std::valarray< T > > *R)</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d68/qr__decompose_8h_source.html#l00146">qr_decompose.h:146</a></div></div>
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</div><!-- fragment -->
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</div>
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</div>
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<a id="adfbdf47277c8cfee229b05b72f1f7834" name="adfbdf47277c8cfee229b05b72f1f7834"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#adfbdf47277c8cfee229b05b72f1f7834">◆ </a></span>operator<<()</h2>
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<div class="memitem">
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<div class="memproto">
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<div class="memtemplate">
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template<typename T> </div>
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<table class="memname">
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<tr>
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<td class="memname">std::ostream & qr_algorithm::operator<< </td>
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<td>(</td>
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<td class="paramtype">std::ostream &</td> <td class="paramname"><span class="paramname"><em>out</em></span>, </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">std::valarray< std::valarray< T > > const &</td> <td class="paramname"><span class="paramname"><em>v</em></span> )</td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>operator to print a matrix </p>
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<p class="definition">Definition at line <a class="el" href="../../d4/d68/qr__decompose_8h_source.html#l00033">33</a> of file <a class="el" href="../../d4/d68/qr__decompose_8h_source.html">qr_decompose.h</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 34</span> {</div>
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<div class="line"><span class="lineno"> 35</span> <span class="keyword">const</span> <span class="keywordtype">int</span> width = 12;</div>
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<div class="line"><span class="lineno"> 36</span> <span class="keyword">const</span> <span class="keywordtype">char</span> separator = <span class="charliteral">' '</span>;</div>
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<div class="line"><span class="lineno"> 37</span> </div>
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<div class="line"><span class="lineno"> 38</span> out.precision(4);</div>
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<div class="line"><span class="lineno"> 39</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"><span class="lineno"> 40</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"><span class="lineno"> 41</span> out << std::right << std::setw(width) << std::setfill(separator)</div>
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<div class="line"><span class="lineno"> 42</span> << v[row][col];</div>
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<div class="line"><span class="lineno"> 43</span> out << std::endl;</div>
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<div class="line"><span class="lineno"> 44</span> }</div>
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<div class="line"><span class="lineno"> 45</span> </div>
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<div class="line"><span class="lineno"> 46</span> <span class="keywordflow">return</span> out;</div>
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<div class="line"><span class="lineno"> 47</span>}</div>
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</div><!-- fragment -->
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</div>
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</div>
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<a id="a73ce637634fc49e1d10d190eb388ebf1" name="a73ce637634fc49e1d10d190eb388ebf1"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a73ce637634fc49e1d10d190eb388ebf1">◆ </a></span>qr_decompose()</h2>
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<div class="memitem">
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<div class="memproto">
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<div class="memtemplate">
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template<typename T> </div>
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<table class="memname">
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<tr>
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<td class="memname">void qr_algorithm::qr_decompose </td>
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<td>(</td>
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<td class="paramtype">const std::valarray< std::valarray< T > > &</td> <td class="paramname"><span class="paramname"><em>A</em></span>, </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">std::valarray< std::valarray< T > > *</td> <td class="paramname"><span class="paramname"><em>Q</em></span>, </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">std::valarray< std::valarray< T > > *</td> <td class="paramname"><span class="paramname"><em>R</em></span> )</td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Decompose matrix \(A\) using <a href="https://en.wikipedia.org/wiki/QR_decomposition" target="_blank">Gram-Schmidt process</a>.</p>
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<p class="formulaDsp">
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\begin{eqnarray*} \text{given that}\quad A &=&
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*\left[\mathbf{a}_1,\mathbf{a}_2,\ldots,\mathbf{a}_{N-1},\right]\\
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\text{where}\quad\mathbf{a}_i &=&
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\left[a_{0i},a_{1i},a_{2i},\ldots,a_{(M-1)i}\right]^T\quad\ldots\mbox{(column
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vectors)}\\
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\text{then}\quad\mathbf{u}_i &=& \mathbf{a}_i
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*-\sum_{j=0}^{i-1}\text{proj}_{\mathbf{u}_j}\mathbf{a}_i\\
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\mathbf{e}_i &=&\frac{\mathbf{u}_i}{\left|\mathbf{u}_i\right|}\\
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Q &=& \begin{bmatrix}\mathbf{e}_0 & \mathbf{e}_1 & \mathbf{e}_2 & \dots &
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\mathbf{e}_{N-1}\end{bmatrix}\\
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R &=& \begin{bmatrix}\langle\mathbf{e}_0\,,\mathbf{a}_0\rangle &
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\langle\mathbf{e}_1\,,\mathbf{a}_1\rangle &
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\langle\mathbf{e}_2\,,\mathbf{a}_2\rangle & \dots \\
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0 & \langle\mathbf{e}_1\,,\mathbf{a}_1\rangle &
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\langle\mathbf{e}_2\,,\mathbf{a}_2\rangle & \dots\\
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0 & 0 & \langle\mathbf{e}_2\,,\mathbf{a}_2\rangle &
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\dots\\ \vdots & \vdots & \vdots & \ddots
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\end{bmatrix}\\
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\end{eqnarray*}
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</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">A</td><td>input matrix to decompose </td></tr>
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<tr><td class="paramname">Q</td><td>output decomposed matrix </td></tr>
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<tr><td class="paramname">R</td><td>output decomposed matrix </td></tr>
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</table>
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</dd>
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</dl>
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<p class="definition">Definition at line <a class="el" href="../../d4/d68/qr__decompose_8h_source.html#l00146">146</a> of file <a class="el" href="../../d4/d68/qr__decompose_8h_source.html">qr_decompose.h</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 150</span> {</div>
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<div class="line"><span class="lineno"> 151</span> std::size_t ROWS = A.size(); <span class="comment">// number of rows of A</span></div>
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<div class="line"><span class="lineno"> 152</span> std::size_t COLUMNS = A[0].size(); <span class="comment">// number of columns of A</span></div>
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<div class="line"><span class="lineno"> 153</span> std::valarray<T> col_vector(ROWS);</div>
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<div class="line"><span class="lineno"> 154</span> std::valarray<T> col_vector2(ROWS);</div>
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<div class="line"><span class="lineno"> 155</span> std::valarray<T> tmp_vector(ROWS);</div>
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<div class="line"><span class="lineno"> 156</span> </div>
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<div class="line"><span class="lineno"> 157</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < COLUMNS; i++) {</div>
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<div class="line"><span class="lineno"> 158</span> <span class="comment">/* for each column => R is a square matrix of NxN */</span></div>
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<div class="line"><span class="lineno"> 159</span> <span class="keywordtype">int</span> j;</div>
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<div class="line"><span class="lineno"> 160</span> R[0][i] = 0.; <span class="comment">/* make R upper triangular */</span></div>
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<div class="line"><span class="lineno"> 161</span> </div>
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<div class="line"><span class="lineno"> 162</span> <span class="comment">/* get corresponding Q vector */</span></div>
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<div class="line"><span class="lineno"> 163</span><span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><span class="lineno"> 164</span><span class="comment">// parallelize on threads</span></div>
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<div class="line"><span class="lineno"> 165</span><span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><span class="lineno"> 166</span><span class="preprocessor">#endif</span></div>
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<div class="line"><span class="lineno"> 167</span> <span class="keywordflow">for</span> (j = 0; j < ROWS; j++) {</div>
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<div class="line"><span class="lineno"> 168</span> tmp_vector[j] = A[j][i]; <span class="comment">/* accumulator for uk */</span></div>
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<div class="line"><span class="lineno"> 169</span> col_vector[j] = A[j][i];</div>
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<div class="line"><span class="lineno"> 170</span> }</div>
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<div class="line"><span class="lineno"> 171</span> <span class="keywordflow">for</span> (j = 0; j < i; j++) {</div>
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<div class="line"><span class="lineno"> 172</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> < ROWS; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>++) {</div>
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<div class="line"><span class="lineno"> 173</span> col_vector2[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>] = Q[0][<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>][j];</div>
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<div class="line"><span class="lineno"> 174</span> }</div>
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<div class="line"><span class="lineno"> 175</span> col_vector2 = <a class="code hl_function" href="../../d2/d3b/namespaceqr__algorithm.html#a6d3c7dce1f142141f509d09f6c0e25dc">vector_proj</a>(col_vector, col_vector2);</div>
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<div class="line"><span class="lineno"> 176</span> tmp_vector -= col_vector2;</div>
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<div class="line"><span class="lineno"> 177</span> }</div>
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<div class="line"><span class="lineno"> 178</span> </div>
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<div class="line"><span class="lineno"> 179</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../df/d66/vector__cross__product_8cpp.html#a4b2a9757a87c18e1642d72410ecfaba8">mag</a> = <a class="code hl_function" href="../../d2/d3b/namespaceqr__algorithm.html#ad16da2183db22378435042f26af43d5f">vector_mag</a>(tmp_vector);</div>
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<div class="line"><span class="lineno"> 180</span> </div>
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<div class="line"><span class="lineno"> 181</span><span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><span class="lineno"> 182</span><span class="comment">// parallelize on threads</span></div>
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<div class="line"><span class="lineno"> 183</span><span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><span class="lineno"> 184</span><span class="preprocessor">#endif</span></div>
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<div class="line"><span class="lineno"> 185</span> <span class="keywordflow">for</span> (j = 0; j < ROWS; j++) Q[0][j][i] = tmp_vector[j] / mag;</div>
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<div class="line"><span class="lineno"> 186</span> </div>
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<div class="line"><span class="lineno"> 187</span> <span class="comment">/* compute upper triangular values of R */</span></div>
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<div class="line"><span class="lineno"> 188</span><span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><span class="lineno"> 189</span><span class="comment">// parallelize on threads</span></div>
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<div class="line"><span class="lineno"> 190</span><span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><span class="lineno"> 191</span><span class="preprocessor">#endif</span></div>
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<div class="line"><span class="lineno"> 192</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> kk = 0; kk < ROWS; kk++) {</div>
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<div class="line"><span class="lineno"> 193</span> col_vector[kk] = Q[0][kk][i];</div>
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<div class="line"><span class="lineno"> 194</span> }</div>
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<div class="line"><span class="lineno"> 195</span> </div>
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<div class="line"><span class="lineno"> 196</span><span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><span class="lineno"> 197</span><span class="comment">// parallelize on threads</span></div>
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<div class="line"><span class="lineno"> 198</span><span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><span class="lineno"> 199</span><span class="preprocessor">#endif</span></div>
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<div class="line"><span class="lineno"> 200</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = i; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> < COLUMNS; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>++) {</div>
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<div class="line"><span class="lineno"> 201</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> kk = 0; kk < ROWS; kk++) {</div>
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<div class="line"><span class="lineno"> 202</span> col_vector2[kk] = A[kk][<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>];</div>
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<div class="line"><span class="lineno"> 203</span> }</div>
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<div class="line"><span class="lineno"> 204</span> R[0][i][<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>] = (col_vector * col_vector2).<a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a>();</div>
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<div class="line"><span class="lineno"> 205</span> }</div>
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<div class="line"><span class="lineno"> 206</span> }</div>
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<div class="line"><span class="lineno"> 207</span>}</div>
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<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a1b74d828b33760094906797042b89442"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">numerical_methods::simpson_method::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d18/composite__simpson__rule_8cpp_source.html#l00117">composite_simpson_rule.cpp:117</a></div></div>
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<div class="ttc" id="anamespacemachine__learning_html_a6f1c98c016ad34ff3d9f39372161bd35"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">machine_learning::sum</a></div><div class="ttdeci">T sum(const std::vector< std::valarray< T > > &A)</div><div class="ttdef"><b>Definition</b> <a href="../../d8/d95/vector__ops_8hpp_source.html#l00232">vector_ops.hpp:232</a></div></div>
|
||||
<div class="ttc" id="anamespaceqr__algorithm_html_a6d3c7dce1f142141f509d09f6c0e25dc"><div class="ttname"><a href="../../d2/d3b/namespaceqr__algorithm.html#a6d3c7dce1f142141f509d09f6c0e25dc">qr_algorithm::vector_proj</a></div><div class="ttdeci">std::valarray< T > vector_proj(const std::valarray< T > &a, const std::valarray< T > &b)</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d68/qr__decompose_8h_source.html#l00104">qr_decompose.h:104</a></div></div>
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||||
<div class="ttc" id="anamespaceqr__algorithm_html_ad16da2183db22378435042f26af43d5f"><div class="ttname"><a href="../../d2/d3b/namespaceqr__algorithm.html#ad16da2183db22378435042f26af43d5f">qr_algorithm::vector_mag</a></div><div class="ttdeci">double vector_mag(const std::valarray< T > &a)</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d68/qr__decompose_8h_source.html#l00092">qr_decompose.h:92</a></div></div>
|
||||
<div class="ttc" id="avector__cross__product_8cpp_html_a4b2a9757a87c18e1642d72410ecfaba8"><div class="ttname"><a href="../../df/d66/vector__cross__product_8cpp.html#a4b2a9757a87c18e1642d72410ecfaba8">math::vector_cross::mag</a></div><div class="ttdeci">double mag(const std::array< double, 3 > &vec)</div><div class="ttdoc">Calculates the magnitude of the mathematical vector from it's direction ratios.</div><div class="ttdef"><b>Definition</b> <a href="../../df/d66/vector__cross__product_8cpp_source.html#l00083">vector_cross_product.cpp:83</a></div></div>
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<ul>
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||||
<li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../d3/d24/qr__decomposition_8cpp.html">qr_decomposition.cpp</a></li>
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.12.0 </li>
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.13.2 </li>
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</body>
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4
d3/d24/qr__decomposition_8cpp.js
vendored
4
d3/d24/qr__decomposition_8cpp.js
vendored
@@ -1,4 +1,6 @@
|
||||
var qr__decomposition_8cpp =
|
||||
[
|
||||
[ "main", "d3/d24/qr__decomposition_8cpp.html#a840291bc02cba5474a4cb46a9b9566fe", null ]
|
||||
[ "main", "d3/d24/qr__decomposition_8cpp.html#a840291bc02cba5474a4cb46a9b9566fe", null ],
|
||||
[ "operator<<", "d3/d24/qr__decomposition_8cpp.html#adfbdf47277c8cfee229b05b72f1f7834", null ],
|
||||
[ "qr_decompose", "d3/d24/qr__decomposition_8cpp.html#a73ce637634fc49e1d10d190eb388ebf1", null ]
|
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];
|
||||
@@ -4,7 +4,7 @@
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<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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<meta http-equiv="X-UA-Compatible" content="IE=11"/>
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<meta name="generator" content="Doxygen 1.12.0"/>
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<meta name="generator" content="Doxygen 1.13.2"/>
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<meta name="viewport" content="width=device-width, initial-scale=1"/>
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<title>TheAlgorithms/C++: numerical_methods/qr_decomposition.cpp Source File</title>
|
||||
<link rel="icon" href="../../favicon.svg" type="image/x-icon" />
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@@ -60,7 +60,7 @@ window.MathJax = {
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</table>
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</div>
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<!-- Generated by Doxygen 1.12.0 -->
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<script type="text/javascript">
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/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&dn=expat.txt MIT */
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var searchBox = new SearchBox("searchBox", "../../search/",'.html');
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||||
@@ -124,7 +124,8 @@ $(function(){initNavTree('d3/d24/qr__decomposition_8cpp_source.html','../../');
|
||||
<div class="headertitle"><div class="title">qr_decomposition.cpp</div></div>
|
||||
</div><!--header-->
|
||||
<div class="contents">
|
||||
<a href="../../d3/d24/qr__decomposition_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
|
||||
<a href="../../d3/d24/qr__decomposition_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
|
||||
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> </div>
|
||||
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#include <array></span></div>
|
||||
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="preprocessor">#include <cmath></span></div>
|
||||
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="preprocessor">#include <cstdlib></span></div>
|
||||
@@ -135,7 +136,7 @@ $(function(){initNavTree('d3/d24/qr__decomposition_8cpp_source.html','../../');
|
||||
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
|
||||
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="keyword">using </span><a class="code hl_function" href="../../d2/d3b/namespaceqr__algorithm.html#a73ce637634fc49e1d10d190eb388ebf1">qr_algorithm::qr_decompose</a>;</div>
|
||||
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="keyword">using </span>qr_algorithm::operator<<;</div>
|
||||
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
|
||||
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span></div>
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||||
<div class="foldopen" id="foldopen00023" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"><a class="line" href="../../d3/d24/qr__decomposition_8cpp.html#a840291bc02cba5474a4cb46a9b9566fe"> 23</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d3/d24/qr__decomposition_8cpp.html#a840291bc02cba5474a4cb46a9b9566fe">main</a>(<span class="keywordtype">void</span>) {</div>
|
||||
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ROWS, COLUMNS;</div>
|
||||
@@ -164,7 +165,7 @@ $(function(){initNavTree('d3/d24/qr__decomposition_8cpp_source.html','../../');
|
||||
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> std::cout << A << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
|
||||
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> clock_t t1 = clock();</div>
|
||||
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> qr_decompose(A, &Q, &R);</div>
|
||||
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <a class="code hl_function" href="../../d3/d24/qr__decomposition_8cpp.html#a73ce637634fc49e1d10d190eb388ebf1">qr_decompose</a>(A, &Q, &R);</div>
|
||||
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordtype">double</span> dtime = <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(clock() - t1) / CLOCKS_PER_SEC;</div>
|
||||
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
|
||||
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> std::cout << Q << <span class="stringliteral">"\n"</span>;</div>
|
||||
@@ -176,6 +177,7 @@ $(function(){initNavTree('d3/d24/qr__decomposition_8cpp_source.html','../../');
|
||||
</div>
|
||||
<div class="ttc" id="anamespaceqr__algorithm_html_a73ce637634fc49e1d10d190eb388ebf1"><div class="ttname"><a href="../../d2/d3b/namespaceqr__algorithm.html#a73ce637634fc49e1d10d190eb388ebf1">qr_algorithm::qr_decompose</a></div><div class="ttdeci">void qr_decompose(const std::valarray< std::valarray< T > > &A, std::valarray< std::valarray< T > > *Q, std::valarray< std::valarray< T > > *R)</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d68/qr__decompose_8h_source.html#l00146">qr_decompose.h:146</a></div></div>
|
||||
<div class="ttc" id="aqr__decompose_8h_html"><div class="ttname"><a href="../../d4/d68/qr__decompose_8h.html">qr_decompose.h</a></div><div class="ttdoc">Library functions to compute QR decomposition of a given matrix.</div></div>
|
||||
<div class="ttc" id="aqr__decomposition_8cpp_html_a73ce637634fc49e1d10d190eb388ebf1"><div class="ttname"><a href="../../d3/d24/qr__decomposition_8cpp.html#a73ce637634fc49e1d10d190eb388ebf1">qr_decompose</a></div><div class="ttdeci">void qr_decompose(const std::valarray< std::valarray< T > > &A, std::valarray< std::valarray< T > > *Q, std::valarray< std::valarray< T > > *R)</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d68/qr__decompose_8h_source.html#l00146">qr_decompose.h:146</a></div></div>
|
||||
<div class="ttc" id="aqr__decomposition_8cpp_html_a840291bc02cba5474a4cb46a9b9566fe"><div class="ttname"><a href="../../d3/d24/qr__decomposition_8cpp.html#a840291bc02cba5474a4cb46a9b9566fe">main</a></div><div class="ttdeci">int main(void)</div><div class="ttdef"><b>Definition</b> <a href="#l00023">qr_decomposition.cpp:23</a></div></div>
|
||||
</div><!-- fragment --></div><!-- contents -->
|
||||
</div><!-- doc-content -->
|
||||
@@ -183,7 +185,7 @@ $(function(){initNavTree('d3/d24/qr__decomposition_8cpp_source.html','../../');
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<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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<ul>
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<li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../d3/d24/qr__decomposition_8cpp.html">qr_decomposition.cpp</a></li>
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.12.0 </li>
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