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<p>Program to compute the <a href="https://en.wikipedia.org/wiki/QR_decomposition" target="_blank">QR decomposition</a> of a given matrix.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
<code>#include &lt;stdio.h&gt;</code><br />
<code>#include &lt;stdlib.h&gt;</code><br />
<code>#include &lt;time.h&gt;</code><br />
<code>#include &quot;<a class="el" href="../../d4/d68/qr__decompose_8h_source.html">qr_decompose.h</a>&quot;</code><br />
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Include dependency graph for qr_decomposition.c:</div>
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Functions</h2></td></tr>
<tr class="memitem:a840291bc02cba5474a4cb46a9b9566fe" id="r_a840291bc02cba5474a4cb46a9b9566fe"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d23/qr__decomposition_8c.html#a840291bc02cba5474a4cb46a9b9566fe">main</a> (void)</td></tr>
<tr class="memdesc:a840291bc02cba5474a4cb46a9b9566fe"><td class="mdescLeft">&#160;</td><td class="mdescRight">main function <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<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>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala" target="_blank">Krishna Vedala</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a840291bc02cba5474a4cb46a9b9566fe" name="a840291bc02cba5474a4cb46a9b9566fe"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a840291bc02cba5474a4cb46a9b9566fe">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">void&#160;</td>
<td class="paramname"></td><td>)</td>
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<p>main function </p>
<div class="fragment"><div class="line"><span class="lineno"> 19</span>{</div>
<div class="line"><span class="lineno"> 20</span> <span class="keywordtype">double</span> **A;</div>
<div class="line"><span class="lineno"> 21</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ROWS, COLUMNS;</div>
<div class="line"><span class="lineno"> 22</span> </div>
<div class="line"><span class="lineno"> 23</span> printf(<span class="stringliteral">&quot;Enter the number of rows and columns: &quot;</span>);</div>
<div class="line"><span class="lineno"> 24</span> scanf(<span class="stringliteral">&quot;%u %u&quot;</span>, &amp;ROWS, &amp;COLUMNS);</div>
<div class="line"><span class="lineno"> 25</span> <span class="keywordflow">if</span> (ROWS &lt; COLUMNS)</div>
<div class="line"><span class="lineno"> 26</span> {</div>
<div class="line"><span class="lineno"> 27</span> fprintf(stderr,</div>
<div class="line"><span class="lineno"> 28</span> <span class="stringliteral">&quot;Number of rows must be greater than or equal to &quot;</span></div>
<div class="line"><span class="lineno"> 29</span> <span class="stringliteral">&quot;number of columns.\n&quot;</span>);</div>
<div class="line"><span class="lineno"> 30</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><span class="lineno"> 31</span> }</div>
<div class="line"><span class="lineno"> 32</span> </div>
<div class="line"><span class="lineno"> 33</span> printf(<span class="stringliteral">&quot;Enter matrix elements row-wise:\n&quot;</span>);</div>
<div class="line"><span class="lineno"> 34</span> </div>
<div class="line"><span class="lineno"> 35</span> A = (<span class="keywordtype">double</span> **)<a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a725f50ecaf1959d96de79b36b4788fee">malloc</a>(ROWS * <span class="keyword">sizeof</span>(<span class="keywordtype">double</span> *));</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; ROWS; i++)</div>
<div class="line"><span class="lineno"> 37</span> A[i] = (<span class="keywordtype">double</span> *)<a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a725f50ecaf1959d96de79b36b4788fee">malloc</a>(COLUMNS * <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div>
<div class="line"><span class="lineno"> 38</span> </div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; ROWS; i++)</div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; COLUMNS; j++) scanf(<span class="stringliteral">&quot;%lf&quot;</span>, &amp;A[i][j]);</div>
<div class="line"><span class="lineno"> 41</span> </div>
<div class="line"><span class="lineno"> 42</span> <a class="code hl_function" href="../../d4/d68/qr__decompose_8h.html#a90562ce8c3707401e9c5809dece68d6a">print_matrix</a>(A, ROWS, COLUMNS);</div>
<div class="line"><span class="lineno"> 43</span> </div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordtype">double</span> **R = (<span class="keywordtype">double</span> **)<a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a725f50ecaf1959d96de79b36b4788fee">malloc</a>(<span class="keyword">sizeof</span>(<span class="keywordtype">double</span> *) * ROWS);</div>
<div class="line"><span class="lineno"> 45</span> <span class="keywordtype">double</span> **Q = (<span class="keywordtype">double</span> **)<a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a725f50ecaf1959d96de79b36b4788fee">malloc</a>(<span class="keyword">sizeof</span>(<span class="keywordtype">double</span> *) * ROWS);</div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordflow">if</span> (!Q || !R)</div>
<div class="line"><span class="lineno"> 47</span> {</div>
<div class="line"><span class="lineno"> 48</span> perror(<span class="stringliteral">&quot;Unable to allocate memory for Q &amp; R!&quot;</span>);</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><span class="lineno"> 50</span> }</div>
<div class="line"><span class="lineno"> 51</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; ROWS; i++)</div>
<div class="line"><span class="lineno"> 52</span> {</div>
<div class="line"><span class="lineno"> 53</span> R[i] = (<span class="keywordtype">double</span> *)<a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a725f50ecaf1959d96de79b36b4788fee">malloc</a>(<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>) * COLUMNS);</div>
<div class="line"><span class="lineno"> 54</span> Q[i] = (<span class="keywordtype">double</span> *)<a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a725f50ecaf1959d96de79b36b4788fee">malloc</a>(<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>) * ROWS);</div>
<div class="line"><span class="lineno"> 55</span> <span class="keywordflow">if</span> (!Q[i] || !R[i])</div>
<div class="line"><span class="lineno"> 56</span> {</div>
<div class="line"><span class="lineno"> 57</span> perror(<span class="stringliteral">&quot;Unable to allocate memory for Q &amp; R.&quot;</span>);</div>
<div class="line"><span class="lineno"> 58</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><span class="lineno"> 59</span> }</div>
<div class="line"><span class="lineno"> 60</span> }</div>
<div class="line"><span class="lineno"> 61</span> </div>
<div class="line"><span class="lineno"> 62</span> clock_t t1 = clock();</div>
<div class="line"><span class="lineno"> 63</span> <a class="code hl_function" href="../../d4/d68/qr__decompose_8h.html#a45c7640d9d22c89c11beb1f567843c56">qr_decompose</a>(A, Q, R, ROWS, COLUMNS);</div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordtype">double</span> dtime = (double)(clock() - t1) / CLOCKS_PER_SEC;</div>
<div class="line"><span class="lineno"> 65</span> </div>
<div class="line"><span class="lineno"> 66</span> <a class="code hl_function" href="../../d4/d68/qr__decompose_8h.html#a90562ce8c3707401e9c5809dece68d6a">print_matrix</a>(R, ROWS, COLUMNS);</div>
<div class="line"><span class="lineno"> 67</span> <a class="code hl_function" href="../../d4/d68/qr__decompose_8h.html#a90562ce8c3707401e9c5809dece68d6a">print_matrix</a>(Q, ROWS, COLUMNS);</div>
<div class="line"><span class="lineno"> 68</span> printf(<span class="stringliteral">&quot;Time taken to compute: %.4g sec\n&quot;</span>, dtime);</div>
<div class="line"><span class="lineno"> 69</span> </div>
<div class="line"><span class="lineno"> 70</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; ROWS; i++)</div>
<div class="line"><span class="lineno"> 71</span> {</div>
<div class="line"><span class="lineno"> 72</span> <a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a>(A[i]);</div>
<div class="line"><span class="lineno"> 73</span> <a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a>(R[i]);</div>
<div class="line"><span class="lineno"> 74</span> <a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a>(Q[i]);</div>
<div class="line"><span class="lineno"> 75</span> }</div>
<div class="line"><span class="lineno"> 76</span> <a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a>(A);</div>
<div class="line"><span class="lineno"> 77</span> <a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a>(R);</div>
<div class="line"><span class="lineno"> 78</span> <a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a>(Q);</div>
<div class="line"><span class="lineno"> 79</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 80</span>}</div>
<div class="ttc" id="amalloc__dbg_8h_html_a725f50ecaf1959d96de79b36b4788fee"><div class="ttname"><a href="../../d2/ddd/malloc__dbg_8h.html#a725f50ecaf1959d96de79b36b4788fee">malloc</a></div><div class="ttdeci">#define malloc(bytes)</div><div class="ttdoc">This macro replace the standard malloc function with malloc_dbg.</div><div class="ttdef"><b>Definition</b> malloc_dbg.h:18</div></div>
<div class="ttc" id="amalloc__dbg_8h_html_a9cc854374299a1dd933bf62029761768"><div class="ttname"><a href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a></div><div class="ttdeci">#define free(ptr)</div><div class="ttdoc">This macro replace the standard free function with free_dbg.</div><div class="ttdef"><b>Definition</b> malloc_dbg.h:26</div></div>
<div class="ttc" id="aqr__decompose_8h_html_a45c7640d9d22c89c11beb1f567843c56"><div class="ttname"><a href="../../d4/d68/qr__decompose_8h.html#a45c7640d9d22c89c11beb1f567843c56">qr_decompose</a></div><div class="ttdeci">void qr_decompose(double **A, double **Q, double **R, int M, int N)</div><div class="ttdoc">Decompose matrix using Gram-Schmidt process.</div><div class="ttdef"><b>Definition</b> qr_decompose.h:142</div></div>
<div class="ttc" id="aqr__decompose_8h_html_a90562ce8c3707401e9c5809dece68d6a"><div class="ttname"><a href="../../d4/d68/qr__decompose_8h.html#a90562ce8c3707401e9c5809dece68d6a">print_matrix</a></div><div class="ttdeci">void print_matrix(double **A, int M, int N)</div><div class="ttdoc">function to display matrix on stdout</div><div class="ttdef"><b>Definition</b> qr_decompose.h:22</div></div>
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