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<div class="headertitle"><div class="title">qr_decomposition.cpp</div></div>
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<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>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> </div>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#include <array></span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="preprocessor">#include <cmath></span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="preprocessor">#include <cstdlib></span></div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include <ctime></span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include <iostream></span></div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> </div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include "<a class="code" href="../../d4/d68/qr__decompose_8h.html">./qr_decompose.h</a>"</span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
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<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>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="keyword">using </span>qr_algorithm::operator<<;</div>
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<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="}">
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<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>
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<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>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> std::cout << <span class="stringliteral">"Enter the number of rows and columns: "</span>;</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> std::cin >> ROWS >> COLUMNS;</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> std::cout << <span class="stringliteral">"Enter matrix elements row-wise:\n"</span>;</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> std::valarray<std::valarray<double>> A(ROWS);</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> std::valarray<std::valarray<double>> Q(ROWS);</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> std::valarray<std::valarray<double>> R(COLUMNS);</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < std::max(ROWS, COLUMNS); i++) {</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keywordflow">if</span> (i < ROWS) {</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> A[i] = std::valarray<double>(COLUMNS);</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> Q[i] = std::valarray<double>(COLUMNS);</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> }</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordflow">if</span> (i < COLUMNS) {</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> R[i] = std::valarray<double>(COLUMNS);</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> }</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> }</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> </div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < ROWS; i++)</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < COLUMNS; j++) std::cin >> A[i][j];</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> std::cout << A << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> clock_t t1 = clock();</div>
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<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>
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<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>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> std::cout << Q << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> std::cout << R << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> std::cout << <span class="stringliteral">"Time taken to compute: "</span> << dtime << <span class="stringliteral">" sec\n "</span>;</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> </div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span>}</div>
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</div>
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<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>
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<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>
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<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>
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<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>
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