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<div class="title">givens_test.c</div> </div>
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<a href="givens__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="qr__givens_8h.html">qr_givens.h</a>"</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="givens__test_8h.html#a7b8199da35e2aec77e76bbb9c52a28ae"> 28</a></span> <span class="keywordtype">void</span> <a class="code" href="givens__test_8c.html#a7b8199da35e2aec77e76bbb9c52a28ae">givens_test</a>(<span class="keywordtype">void</span>)</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> {</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  puts(<span class="stringliteral">"############ Test the Givens algorithm ###############"</span>);</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> xj, xij;</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  xj = 100;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  xij = 130;</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> c_s_t_r_vec[4];</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="qr__givens_8h.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens_get_params</a>(xj, xij, c_s_t_r_vec);</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  printf(<span class="stringliteral">"c = %7.4f\n"</span>, c_s_t_r_vec[0]);</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  printf(<span class="stringliteral">"s = %7.4f\n"</span>, c_s_t_r_vec[1]);</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  printf(<span class="stringliteral">"t = %7.4f\n"</span>, c_s_t_r_vec[2]);</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  printf(<span class="stringliteral">"r = %7.4f\n"</span>, c_s_t_r_vec[3]);</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  puts(<span class="stringliteral">"************ MATRIX A ************"</span>);</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[10][5] = {</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  { 0.8147, 0.1576, 0.6557, 0.7060, 0.4387 },</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  { 0.9058, 0.9706, 0.0357, 0.0318, 0.3816 },</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  { 0.1270, 0.9572, 0.8491, 0.2769, 0.7655 },</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  { 0.9134, 0.4854, 0.9340, 0.0462, 0.7952 },</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  { 0.6324, 0.8003, 0.6787, 0.0971, 0.1869 },</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  { 0.0975, 0.1419, 0.7577, 0.8235, 0.4898 },</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  { 0.2785, 0.4218, 0.7431, 0.6948, 0.4456 },</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  { 0.5469, 0.9157, 0.3922, 0.3171, 0.6463 },</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  { 0.9575, 0.7922, 0.6555, 0.9502, 0.7094 },</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  { 0.9649, 0.9595, 0.1712, 0.0344, 0.7547 }</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</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>  uint8_t m, n;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  m = 10;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  n = 5;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> copy_A[m][n];</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  puts(<span class="stringliteral">"+++++++ Reduced QR-form +++++++"</span>);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, copy_A);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> red_Q[m][n];</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a>(m, n, copy_A, n, red_Q, <span class="keyword">true</span>);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  printf(<span class="stringliteral">"red_Q = "</span>);</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, red_Q, 7, 4);</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  puts(<span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  printf(<span class="stringliteral">"red_R = "</span>);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, n, copy_A, 7, 4);</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  puts(<span class="stringliteral">"+++++++ Full QR-form +++++++"</span>);</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, copy_A);</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> full_Q[m][m];</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a>(m, n, copy_A, m, full_Q, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  printf(<span class="stringliteral">"full_Q = "</span>);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, m, full_Q, 7, 4);</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  puts(<span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  printf(<span class="stringliteral">"full_R = "</span>);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, copy_A, 7, 4);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  </div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  puts(<span class="stringliteral">"************ MATRIX B ************"</span>);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[7][7] =</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  {</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  { 0.8147, 0.5469, 0.8003, 0.0357, 0.6555, 0.8235, 0.7655 },</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  { 0.9058, 0.9575, 0.1419, 0.8491, 0.1712, 0.6948, 0.7952 },</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  { 0.1270, 0.9649, 0.4218, 0.9340, 0.7060, 0.3171, 0.1869 },</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  { 0.9134, 0.1576, 0.9157, 0.6787, 0.0318, 0.9502, 0.4898 },</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  { 0.6324, 0.9706, 0.7922, 0.7577, 0.2769, 0.0344, 0.4456 },</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  { 0.0975, 0.9572, 0.9595, 0.7431, 0.0462, 0.4387, 0.6463 },</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  { 0.2785, 0.4854, 0.6557, 0.3922, 0.0971, 0.3816, 0.7094 }</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  };</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  m = 7;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  n = 7;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> copy_B[m][n];</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  puts(<span class="stringliteral">"+++++++ Reduced QR-form +++++++"</span>);</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, B, copy_B);</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> red_Q1[m][n];</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a>(m, n, copy_B, n, red_Q1, <span class="keyword">true</span>);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  printf(<span class="stringliteral">"red_Q = "</span>);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, red_Q1, 7, 4);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  puts(<span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  printf(<span class="stringliteral">"red_R = "</span>);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, n, copy_B, 7, 4);</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  puts(<span class="stringliteral">"+++++++ Full QR-form +++++++"</span>);</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, B, copy_B);</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> full_Q1[m][m];</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <a class="code" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a>(m, n, copy_B, m, full_Q1, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  printf(<span class="stringliteral">"full_Q = "</span>);</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, m, full_Q1, 7, 4);</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  puts(<span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  printf(<span class="stringliteral">"full_R = "</span>);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, copy_B, 7, 4);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> }</div>
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<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
<div class="ttc" id="amatrix_8h_html_a82f374a9b8b215f0ef53d35401eae524"><div class="ttname"><a href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a></div><div class="ttdeci">void matrix_flex_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t before_dec, uint8_t after_dec)</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00220">matrix.c:220</a></div></div>
<div class="ttc" id="agivens__test_8c_html_a7b8199da35e2aec77e76bbb9c52a28ae"><div class="ttname"><a href="givens__test_8c.html#a7b8199da35e2aec77e76bbb9c52a28ae">givens_test</a></div><div class="ttdeci">void givens_test(void)</div><div class="ttdoc">Examples of the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="givens__test_8c_source.html#l00028">givens_test.c:28</a></div></div>
<div class="ttc" id="amatrix_8h_html_ae8d8daa117e9f96a5e29fe6c76c4998c"><div class="ttname"><a href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a></div><div class="ttdeci">void matrix_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[m][n])</div><div class="ttdoc">Copy the elements of a matrix to another matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00083">matrix.c:83</a></div></div>
<div class="ttc" id="aqr__givens_8h_html_a07adca97c58afc057a5cff738f6473cc"><div class="ttname"><a href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a></div><div class="ttdeci">int8_t qr_givens_decomp(uint8_t m, uint8_t n, matrix_t A[][n], uint8_t q_col_num, matrix_t Q[][q_col_num], bool reduced)</div><div class="ttdoc">Computes the QR decomposition of the matrix A by using the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__givens_8c_source.html#l00033">qr_givens.c:33</a></div></div>
<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
<div class="ttc" id="aqr__givens_8h_html_a53f748fbc6f8a129deb6a048d423d644"><div class="ttname"><a href="qr__givens_8h.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens_get_params</a></div><div class="ttdeci">void qr_givens_get_params(matrix_t xjj, matrix_t xij, matrix_t c_s_t_r_vec[])</div><div class="ttdoc">Compute the Givens parameters.</div><div class="ttdef"><b>Definition:</b> <a href="qr__givens_8c_source.html#l00110">qr_givens.c:110</a></div></div>
<div class="ttc" id="aqr__givens_8h_html"><div class="ttname"><a href="qr__givens_8h.html">qr_givens.h</a></div><div class="ttdoc">Givens algorithm for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices ...</div></div>
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