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<div class="title">qr_method.cpp</div> </div>
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<a href="tests_2src_2qr__method_8cpp.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) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> TU Wien.</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> Portions of this software are copyright by UChicago Argonne, LLC.</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"></span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> ViennaCL - The Vienna Computing Library</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"></span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> Project Head: Karl Rupp rupp@iue.tuwien.ac.at</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> (A list of authors and contributors can be found in the PDF manual)</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"></span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> License: MIT (X11), see file LICENSE in the base directory</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">============================================================================= */</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment">Solutions for testdata were generated with Scilab line:</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment">M=fscanfMat('nsm1.example');e=spec(M);e=gsort(e);rr=real(e);ii=imag(e);e=cat(1, rr, ii); s=strcat(string(e), ' ');write('tmp', s);</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment">*/</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</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> <span class="comment">//#define VIENNACL_DEBUG_ALL</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include <fstream></span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include <stdexcept></span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include <vector></span></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> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "<a class="code" href="qr-method_8hpp.html">viennacl/linalg/qr-method.hpp</a>"</span></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> <span class="preprocessor">#include "<a class="code" href="timer_8hpp.html">viennacl/tools/timer.hpp</a>"</span></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="preprocessor">#include <boost/numeric/ublas/vector.hpp></span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#include <boost/numeric/ublas/matrix.hpp></span></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> <span class="keyword">namespace </span>ublas = boost::numeric::ublas;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="keywordtype">void</span> <a class="code" href="tests_2src_2qr__method_8cpp.html#a18f8a7517201b7dbbf9970f170df6b32">read_matrix_size</a>(std::fstream& f, std::size_t& sz);</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> </div>
<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="tests_2src_2qr__method_8cpp.html#a18f8a7517201b7dbbf9970f170df6b32"> 48</a></span> <span class="keywordtype">void</span> <a class="code" href="tests_2src_2qr__method_8cpp.html#a18f8a7517201b7dbbf9970f170df6b32">read_matrix_size</a>(std::fstream& f, std::size_t& sz)</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> {</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordflow">if</span>(!f.is_open())</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>  <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"File is not opened"</span>);</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  }</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  f >> sz;</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> <span class="keyword">template</span> <<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> MatrixLayout></div>
<div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="tests_2src_2qr__method_8cpp.html#aa552482e632ba5f01dea74260f8a74ad"> 59</a></span> <span class="keywordtype">void</span> <a class="code" href="tests_2src_2qr__method_8cpp.html#aa552482e632ba5f01dea74260f8a74ad">read_matrix_body</a>(std::fstream& f, <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, MatrixLayout></a>& A)</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> {</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">if</span>(!f.is_open())</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  {</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"File is not opened"</span>);</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  }</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  boost::numeric::ublas::matrix<NumericT> h_A(A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(), A.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>());</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">for</span>(std::size_t i = 0; i < h_A.size1(); i++) {</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">for</span>(std::size_t j = 0; j < h_A.size2(); j++) {</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> val = 0.0;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  f >> val;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  h_A(i, j) = val;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  }</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  }</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(h_A, A);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> }</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00080"></a><span class="lineno"><a class="line" href="tests_2src_2qr__method_8cpp.html#a7af373224fa1f7f0fef279d5ac5e8f4c"> 80</a></span> <span class="keywordtype">void</span> <a class="code" href="tests_2src_2qr__method_8cpp.html#a7af373224fa1f7f0fef279d5ac5e8f4c">read_vector_body</a>(std::fstream& f, std::vector<NumericT>& v) {</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordflow">if</span>(!f.is_open())</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"File is not opened"</span>);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">for</span>(std::size_t i = 0; i < v.size(); i++)</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>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> val = 0.0;</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  f >> val;</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  v[i] = val;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  }</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> }</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> MatrixLayout></div>
<div class="line"><a name="l00093"></a><span class="lineno"><a class="line" href="tests_2src_2qr__method_8cpp.html#afa4f99969a44f0e95ec2eec3a59e7ae3"> 93</a></span> <span class="keywordtype">bool</span> <a class="code" href="tests_2src_2qr__method_8cpp.html#afa4f99969a44f0e95ec2eec3a59e7ae3">check_tridiag</a>(<a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, MatrixLayout></a>& A_orig, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> <a class="code" href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a>)</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> {</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  ublas::matrix<NumericT> A(A_orig.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(), A_orig.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>());</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(A_orig, A);</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < A.size1(); i++) {</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> j = 0; j < A.size2(); j++) {</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keywordflow">if</span> ((std::abs(A(i, j)) > EPS) && ((i - 1) != j) && (i != j) && ((i + 1) != j))</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  {</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="comment">// std::cout << "Failed at " << i << " " << j << " " << A(i, j) << "\n";</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  }</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  }</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> }</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="keyword">template</span> <<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> MatrixLayout></div>
<div class="line"><a name="l00111"></a><span class="lineno"><a class="line" href="tests_2src_2qr__method_8cpp.html#a2eaf84c1f4c1d3667b037e5c7f99b096"> 111</a></span> <span class="keywordtype">bool</span> <a class="code" href="tests_2src_2qr__method_8cpp.html#a2eaf84c1f4c1d3667b037e5c7f99b096">check_hessenberg</a>(<a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, MatrixLayout></a>& A_orig, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> <a class="code" href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a>)</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> {</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  ublas::matrix<NumericT> A(A_orig.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(), A_orig.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>());</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(A_orig, A);</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>  <span class="keywordflow">for</span> (std::size_t i = 0; i < A.size1(); i++) {</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < A.size2(); j++) {</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">if</span> ((std::abs(A(i, j)) > EPS) && (i > (j + 1)))</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  {</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="comment">// std::cout << "Failed at " << i << " " << j << " " << A(i, j) << "\n";</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  }</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  }</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  }</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> }</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> </div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00129"></a><span class="lineno"><a class="line" href="tests_2src_2qr__method_8cpp.html#a1259070dbcfb21b870399fed956bd59f"> 129</a></span> <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> <a class="code" href="tests_2src_2qr__method_8cpp.html#a1259070dbcfb21b870399fed956bd59f">matrix_compare</a>(ublas::matrix<NumericT>& res,</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  ublas::matrix<NumericT>& ref)</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> {</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> <a class="code" href="blas3__solve_8cpp.html#afebc249681af56fdd45860b32ed34b4e">diff</a> = 0.0;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> mx = 0.0;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordflow">for</span>(std::size_t i = 0; i < res.size1(); i++)</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  {</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keywordflow">for</span>(std::size_t j = 0; j < res.size2(); j++)</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  {</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  diff = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">std::max</a>(diff, std::abs(res(i, j) - ref(i, j)));</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  mx = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">std::max</a>(mx, res(i, j));</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  }</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  }</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> </div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordflow">return</span> diff / mx;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> }</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> </div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00148"></a><span class="lineno"><a class="line" href="tests_2src_2qr__method_8cpp.html#a22b29bf1697fa2183976fbd3430aadc6"> 148</a></span> <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> <a class="code" href="tests_2src_2qr__method_8cpp.html#a22b29bf1697fa2183976fbd3430aadc6">vector_compare</a>(std::vector<NumericT> & res,</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  std::vector<NumericT> & ref)</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> {</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  std::sort(ref.begin(), ref.end());</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  std::sort(res.begin(), res.end());</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> <a class="code" href="blas3__solve_8cpp.html#afebc249681af56fdd45860b32ed34b4e">diff</a> = 0.0;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> mx = 0.0;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 0; i < res.size(); i++)</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  {</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  diff = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">std::max</a>(diff, std::abs(res[i] - ref[i]));</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  mx = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">std::max</a>(mx, res[i]);</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  }</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> </div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">return</span> diff / mx;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> }</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> </div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="keyword">template</span> <<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> MatrixLayout></div>
<div class="line"><a name="l00166"></a><span class="lineno"><a class="line" href="tests_2src_2qr__method_8cpp.html#a47a7b30d8303726a720d9554b1aab4eb"> 166</a></span> <span class="keywordtype">void</span> <a class="code" href="tests_2src_2qr__method_8cpp.html#a47a7b30d8303726a720d9554b1aab4eb">matrix_print</a>(<a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, MatrixLayout></a>& A)</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> {</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(); i++) {</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> j = 0; j < A.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>(); j++)</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  std::cout << std::fixed << A(i, j) << <span class="stringliteral">"\t"</span>;</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  std::cout << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  }</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> }</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> </div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="keyword">template</span> <<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> MatrixLayout></div>
<div class="line"><a name="l00176"></a><span class="lineno"><a class="line" href="tests_2src_2qr__method_8cpp.html#ae93adcba98f8802432c4edc9a4ab96cd"> 176</a></span> <span class="keywordtype">void</span> <a class="code" href="tests_2src_2qr__method_8cpp.html#ae93adcba98f8802432c4edc9a4ab96cd">test_eigen</a>(<span class="keyword">const</span> std::string& fn, <span class="keywordtype">bool</span> is_symm, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> <a class="code" href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a>)</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> {</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  std::cout << <span class="stringliteral">"Reading..."</span> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  std::size_t sz;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="comment">// read file</span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  std::fstream f(fn.c_str(), std::fstream::in);</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="comment">//read size of input matrix</span></div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <a class="code" href="tests_2src_2qr__method_8cpp.html#a18f8a7517201b7dbbf9970f170df6b32">read_matrix_size</a>(f, sz);</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> </div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keywordtype">bool</span> is_row = <a class="code" href="structviennacl_1_1is__row__major.html">viennacl::is_row_major<MatrixLayout>::value</a>;</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">if</span> (is_row)</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  std::cout << <span class="stringliteral">"Testing row-major matrix of size "</span> << sz << <span class="stringliteral">"-by-"</span> << sz << std::endl;</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  std::cout << <span class="stringliteral">"Testing column-major matrix of size "</span> << sz << <span class="stringliteral">"-by-"</span> << sz << std::endl;</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> </div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT></a> A_input(sz, sz), A_ref(sz, sz), Q(sz, sz);</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="comment">// reference vector with reference values from file</span></div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  std::vector<NumericT> eigen_ref_re(sz);</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="comment">// calculated real eigenvalues</span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  std::vector<NumericT> eigen_re(sz);</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="comment">// calculated im. eigenvalues</span></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  std::vector<NumericT> eigen_im(sz);</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> </div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="comment">// read input matrix from file</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <a class="code" href="tests_2src_2qr__method_8cpp.html#aa552482e632ba5f01dea74260f8a74ad">read_matrix_body</a>(f, A_input);</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="comment">// read reference eigenvalues from file</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <a class="code" href="tests_2src_2qr__method_8cpp.html#a7af373224fa1f7f0fef279d5ac5e8f4c">read_vector_body</a>(f, eigen_ref_re);</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> </div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  f.close();</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> </div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  A_ref = A_input;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  std::cout << <span class="stringliteral">"Calculation..."</span> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> </div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <a class="code" href="classviennacl_1_1tools_1_1timer.html">viennacl::tools::timer</a> timer;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  timer.<a class="code" href="classviennacl_1_1tools_1_1timer.html#ac3e360cdcecfb05861baa2800e4f2888">start</a>();</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="comment">// Start the calculation</span></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keywordflow">if</span>(is_symm)</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a51cbe06645207f9b3054e8725269cc71">viennacl::linalg::qr_method_sym</a>(A_input, Q, eigen_re);</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#abe64190e92ee58ad753947142204d0f9">viennacl::linalg::qr_method_nsm</a>(A_input, Q, eigen_re, eigen_im);</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="comment"></span></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="comment"> std::cout << "\n\n Matrix A: \n\n";</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="comment"> matrix_print(A_input);</span></div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <span class="comment"> std::cout << "\n\n";</span></div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> <span class="comment"></span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> <span class="comment"> std::cout << "\n\n Matrix Q: \n\n";</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="comment"> matrix_print(Q);</span></div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> <span class="comment"> std::cout << "\n\n";</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="comment">*/</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> </div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="keywordtype">double</span> time_spend = timer.<a class="code" href="classviennacl_1_1tools_1_1timer.html#af44313f16c89e97704c90b1ebcc17bca">get</a>();</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> </div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  std::cout << <span class="stringliteral">"Verification..."</span> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> </div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordtype">bool</span> is_hessenberg = <a class="code" href="tests_2src_2qr__method_8cpp.html#a2eaf84c1f4c1d3667b037e5c7f99b096">check_hessenberg</a>(A_input, EPS);</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keywordtype">bool</span> is_tridiag = <a class="code" href="tests_2src_2qr__method_8cpp.html#afa4f99969a44f0e95ec2eec3a59e7ae3">check_tridiag</a>(A_input, EPS);</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  ublas::matrix<NumericT> A_ref_ublas(sz, sz), A_input_ublas(sz, sz), Q_ublas(sz, sz), result1(sz, sz), result2(sz, sz);</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(A_ref, A_ref_ublas);</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(A_input, A_input_ublas);</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(Q, Q_ublas);</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> </div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="comment">// compute result1 = ublas::prod(Q_ublas, A_input_ublas); (terribly slow when using ublas directly)</span></div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keywordflow">for</span> (std::size_t i=0; i<result1.size1(); ++i)</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keywordflow">for</span> (std::size_t j=0; j<result1.size2(); ++j)</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  {</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> value = 0;</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keywordflow">for</span> (std::size_t k=0; k<Q_ublas.size2(); ++k)</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  value += Q_ublas(i, k) * A_input_ublas(k, j);</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  result1(i,j) = value;</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  }</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="comment">// compute result2 = ublas::prod(A_ref_ublas, Q_ublas); (terribly slow when using ublas directly)</span></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">for</span> (std::size_t i=0; i<result2.size1(); ++i)</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keywordflow">for</span> (std::size_t j=0; j<result2.size2(); ++j)</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  {</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> value = 0;</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keywordflow">for</span> (std::size_t k=0; k<A_ref_ublas.size2(); ++k)</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  value += A_ref_ublas(i, k) * Q_ublas(k, j);</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  result2(i,j) = value;</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  }</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> </div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> </div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> prods_diff = <a class="code" href="tests_2src_2qr__method_8cpp.html#a1259070dbcfb21b870399fed956bd59f">matrix_compare</a>(result1, result2);</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> eigen_diff = <a class="code" href="tests_2src_2qr__method_8cpp.html#a22b29bf1697fa2183976fbd3430aadc6">vector_compare</a>(eigen_re, eigen_ref_re);</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> </div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="keywordtype">bool</span> is_ok = is_hessenberg;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> </div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="keywordflow">if</span>(is_symm)</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  is_ok = is_ok && is_tridiag;</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> </div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  is_ok = is_ok && (eigen_diff < <a class="code" href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a>);</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  is_ok = is_ok && (prods_diff < <a class="code" href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a>);</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span> </div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="comment">// std::cout << A_ref << "\n";</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <span class="comment">// std::cout << A_input << "\n";</span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="comment">// std::cout << Q << "\n";</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="comment">// std::cout << eigen_re << "\n";</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="comment">// std::cout << eigen_im << "\n";</span></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="comment">// std::cout << eigen_ref_re << "\n";</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="comment">// std::cout << eigen_ref_im << "\n";</span></div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span> </div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="comment">// std::cout << result1 << "\n";</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="comment">// std::cout << result2 << "\n";</span></div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="comment">// std::cout << eigen_ref << "\n";</span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="comment">// std::cout << eigen << "\n";</span></div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span> </div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  printf(<span class="stringliteral">"%6s [%dx%d] %40s time = %.4f\n"</span>, is_ok?<span class="stringliteral">"[[OK]]"</span>:<span class="stringliteral">"[FAIL]"</span>, (<span class="keywordtype">int</span>)A_ref.size1(), (int)A_ref.size2(), fn.c_str(), time_spend);</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  printf(<span class="stringliteral">"tridiagonal = %d, hessenberg = %d prod-diff = %f eigen-diff = %f\n"</span>, is_tridiag, is_hessenberg, prods_diff, eigen_diff);</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  std::cout << std::endl << std::endl;</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span> </div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="keywordflow">if</span> (!is_ok)</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  exit(EXIT_FAILURE);</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> </div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> }</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> </div>
<div class="line"><a name="l00295"></a><span class="lineno"><a class="line" href="tests_2src_2qr__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 295</a></span> <span class="keywordtype">int</span> <a class="code" href="tests_2src_2qr__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>()</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> {</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="keywordtype">float</span> epsilon1 = 0.0001f;</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span> </div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  std::cout << <span class="stringliteral">"# Testing setup:"</span> << std::endl;</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  std::cout << <span class="stringliteral">" eps: "</span> << epsilon1 << std::endl;</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  std::cout << <span class="stringliteral">" numeric: double"</span> << std::endl;</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  test_eigen<float, viennacl::row_major >(<span class="stringliteral">"../examples/testdata/eigen/symm5.example"</span>, <span class="keyword">true</span>, epsilon1);</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  test_eigen<float, viennacl::column_major>(<span class="stringliteral">"../examples/testdata/eigen/symm5.example"</span>, <span class="keyword">true</span>, epsilon1);</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> </div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> <span class="preprocessor"> #ifdef VIENNACL_WITH_OPENCL</span></div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keywordflow">if</span> ( <a class="code" href="namespaceviennacl_1_1ocl.html#ac54d59a74deaccec81f64e738b856348">viennacl::ocl::current_device</a>().<a class="code" href="classviennacl_1_1ocl_1_1device.html#a5182025f56c76de6770e26b14165b00a">double_support</a>() )</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  #endif</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  {</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <span class="keywordtype">double</span> epsilon2 = 1e-5;</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> </div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  std::cout << <span class="stringliteral">"# Testing setup:"</span> << std::endl;</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  std::cout << <span class="stringliteral">" eps: "</span> << epsilon2 << std::endl;</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  std::cout << <span class="stringliteral">" numeric: double"</span> << std::endl;</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  test_eigen<double, viennacl::row_major >(<span class="stringliteral">"../examples/testdata/eigen/symm5.example"</span>, <span class="keyword">true</span>, epsilon2);</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  test_eigen<double, viennacl::column_major>(<span class="stringliteral">"../examples/testdata/eigen/symm5.example"</span>, <span class="keyword">true</span>, epsilon2);</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  }</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span> </div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="comment">//test_eigen<viennacl::row_major>("../../examples/testdata/eigen/symm3.example", true); // Computation of this matrix takes very long</span></div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="comment">//test_eigen<viennacl::column_major>("../../examples/testdata/eigen/symm3.example", true);</span></div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span> </div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="comment">//test_eigen<viennacl::row_major>("../examples/testdata/eigen/nsm2.example", false);</span></div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="comment">//test_eigen<viennacl::row_major>("../../examples/testdata/eigen/nsm2.example", false);</span></div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="comment">//test_eigen("../../examples/testdata/eigen/nsm3.example", false);</span></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="comment">//test_eigen("../../examples/testdata/eigen/nsm4.example", false); //Note: This test suffers from round-off errors in single precision, hence disabled</span></div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span> </div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  std::cout << <span class="stringliteral">"------- Test completed --------"</span> << std::endl;</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> </div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span> }</div>
<div class="ttc" id="tests_2src_2qr__method_8cpp_html_aa552482e632ba5f01dea74260f8a74ad"><div class="ttname"><a href="tests_2src_2qr__method_8cpp.html#aa552482e632ba5f01dea74260f8a74ad">read_matrix_body</a></div><div class="ttdeci">void read_matrix_body(std::fstream &f, viennacl::matrix< NumericT, MatrixLayout > &A)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2qr__method_8cpp_source.html#l00059">qr_method.cpp:59</a></div></div>
<div class="ttc" id="classviennacl_1_1tools_1_1timer_html"><div class="ttname"><a href="classviennacl_1_1tools_1_1timer.html">viennacl::tools::timer</a></div><div class="ttdoc">Simple timer class based on gettimeofday (POSIX) or QueryPerformanceCounter (Windows). </div><div class="ttdef"><b>Definition:</b> <a href="timer_8hpp_source.html#l00090">timer.hpp:90</a></div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_a6ebf6899d6c1c8b7b9d09be872c05aae"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a></div><div class="ttdeci">#define EPS</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00038">bisect.cpp:38</a></div></div>
<div class="ttc" id="structviennacl_1_1is__row__major_html"><div class="ttname"><a href="structviennacl_1_1is__row__major.html">viennacl::is_row_major</a></div><div class="ttdoc">Helper class for checking whether a matrix has a row-major layout. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00484">forwards.h:484</a></div></div>
<div class="ttc" id="prod_8hpp_html"><div class="ttname"><a href="prod_8hpp.html">prod.hpp</a></div><div class="ttdoc">Generic interface for matrix-vector and matrix-matrix products. See viennacl/linalg/vector_operations...</div></div>
<div class="ttc" id="tests_2src_2qr__method_8cpp_html_afa4f99969a44f0e95ec2eec3a59e7ae3"><div class="ttname"><a href="tests_2src_2qr__method_8cpp.html#afa4f99969a44f0e95ec2eec3a59e7ae3">check_tridiag</a></div><div class="ttdeci">bool check_tridiag(viennacl::matrix< NumericT, MatrixLayout > &A_orig, NumericT EPS)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2qr__method_8cpp_source.html#l00093">qr_method.cpp:93</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix_html"><div class="ttname"><a href="classviennacl_1_1matrix.html">viennacl::matrix</a></div><div class="ttdoc">A dense matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00375">forwards.h:375</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_a5d46fe9558b0e462f10fd44942ad4fc6"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">viennacl::linalg::detail::max</a></div><div class="ttdeci">T max(const T &lhs, const T &rhs)</div><div class="ttdoc">Maximum. </div><div class="ttdef"><b>Definition:</b> <a href="linalg_2detail_2bisect_2util_8hpp_source.html#l00059">util.hpp:59</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1ocl_html_ac54d59a74deaccec81f64e738b856348"><div class="ttname"><a href="namespaceviennacl_1_1ocl.html#ac54d59a74deaccec81f64e738b856348">viennacl::ocl::current_device</a></div><div class="ttdeci">viennacl::ocl::device const & current_device()</div><div class="ttdoc">Convenience function for returning the active device in the current context. </div><div class="ttdef"><b>Definition:</b> <a href="backend_8hpp_source.html#l00351">backend.hpp:351</a></div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_a52b5d30a2d7b064678644a3bf49b7f6c"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a></div><div class="ttdeci">float NumericT</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00040">bisect.cpp:40</a></div></div>
<div class="ttc" id="tests_2src_2qr__method_8cpp_html_a22b29bf1697fa2183976fbd3430aadc6"><div class="ttname"><a href="tests_2src_2qr__method_8cpp.html#a22b29bf1697fa2183976fbd3430aadc6">vector_compare</a></div><div class="ttdeci">NumericT vector_compare(std::vector< NumericT > &res, std::vector< NumericT > &ref)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2qr__method_8cpp_source.html#l00148">qr_method.cpp:148</a></div></div>
<div class="ttc" id="tests_2src_2qr__method_8cpp_html_a18f8a7517201b7dbbf9970f170df6b32"><div class="ttname"><a href="tests_2src_2qr__method_8cpp.html#a18f8a7517201b7dbbf9970f170df6b32">read_matrix_size</a></div><div class="ttdeci">void read_matrix_size(std::fstream &f, std::size_t &sz)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2qr__method_8cpp_source.html#l00048">qr_method.cpp:48</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_abe64190e92ee58ad753947142204d0f9"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#abe64190e92ee58ad753947142204d0f9">viennacl::linalg::qr_method_nsm</a></div><div class="ttdeci">void qr_method_nsm(viennacl::matrix< SCALARTYPE > &A, viennacl::matrix< SCALARTYPE > &Q, std::vector< SCALARTYPE > &D, std::vector< SCALARTYPE > &E)</div><div class="ttdef"><b>Definition:</b> <a href="qr-method_8hpp_source.html#l00796">qr-method.hpp:796</a></div></div>
<div class="ttc" id="tests_2src_2qr__method_8cpp_html_a2eaf84c1f4c1d3667b037e5c7f99b096"><div class="ttname"><a href="tests_2src_2qr__method_8cpp.html#a2eaf84c1f4c1d3667b037e5c7f99b096">check_hessenberg</a></div><div class="ttdeci">bool check_hessenberg(viennacl::matrix< NumericT, MatrixLayout > &A_orig, NumericT EPS)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2qr__method_8cpp_source.html#l00111">qr_method.cpp:111</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1device_html_a5182025f56c76de6770e26b14165b00a"><div class="ttname"><a href="classviennacl_1_1ocl_1_1device.html#a5182025f56c76de6770e26b14165b00a">viennacl::ocl::device::double_support</a></div><div class="ttdeci">bool double_support() const </div><div class="ttdoc">ViennaCL convenience function: Returns true if the device supports double precision. </div><div class="ttdef"><b>Definition:</b> <a href="device_8hpp_source.html#l00956">device.hpp:956</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a4348766b3b9cb049f7acd6a795272dbe"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">viennacl::matrix_base< NumericT >::size2</a></div><div class="ttdeci">size_type size2() const</div><div class="ttdoc">Returns the number of columns. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00226">matrix_def.hpp:226</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a24e4f5fa27a1af5ad47e52a97c065d68"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">viennacl::matrix_base< NumericT >::size1</a></div><div class="ttdeci">size_type size1() const</div><div class="ttdoc">Returns the number of rows. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00224">matrix_def.hpp:224</a></div></div>
<div class="ttc" id="tests_2src_2qr__method_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="tests_2src_2qr__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2qr__method_8cpp_source.html#l00295">qr_method.cpp:295</a></div></div>
<div class="ttc" id="timer_8hpp_html"><div class="ttname"><a href="timer_8hpp.html">timer.hpp</a></div><div class="ttdoc">A simple, yet (mostly) sufficiently accurate timer for benchmarking and profiling. </div></div>
<div class="ttc" id="qr-method_8hpp_html"><div class="ttname"><a href="qr-method_8hpp.html">qr-method.hpp</a></div><div class="ttdoc">Implementation of the QR method for eigenvalue computations. Experimental. </div></div>
<div class="ttc" id="tests_2src_2qr__method_8cpp_html_ae93adcba98f8802432c4edc9a4ab96cd"><div class="ttname"><a href="tests_2src_2qr__method_8cpp.html#ae93adcba98f8802432c4edc9a4ab96cd">test_eigen</a></div><div class="ttdeci">void test_eigen(const std::string &fn, bool is_symm, NumericT EPS)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2qr__method_8cpp_source.html#l00176">qr_method.cpp:176</a></div></div>
<div class="ttc" id="namespaceviennacl_html_a10b7f8cf6b8864a7aa196d670481a453"><div class="ttname"><a href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a></div><div class="ttdeci">void copy(std::vector< NumericT > &cpu_vec, circulant_matrix< NumericT, AlignmentV > &gpu_mat)</div><div class="ttdoc">Copies a circulant matrix from the std::vector to the OpenCL device (either GPU or multi-core CPU) ...</div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00150">circulant_matrix.hpp:150</a></div></div>
<div class="ttc" id="classviennacl_1_1tools_1_1timer_html_af44313f16c89e97704c90b1ebcc17bca"><div class="ttname"><a href="classviennacl_1_1tools_1_1timer.html#af44313f16c89e97704c90b1ebcc17bca">viennacl::tools::timer::get</a></div><div class="ttdeci">double get() const </div><div class="ttdef"><b>Definition:</b> <a href="timer_8hpp_source.html#l00104">timer.hpp:104</a></div></div>
<div class="ttc" id="classviennacl_1_1tools_1_1timer_html_ac3e360cdcecfb05861baa2800e4f2888"><div class="ttname"><a href="classviennacl_1_1tools_1_1timer.html#ac3e360cdcecfb05861baa2800e4f2888">viennacl::tools::timer::start</a></div><div class="ttdeci">void start()</div><div class="ttdef"><b>Definition:</b> <a href="timer_8hpp_source.html#l00097">timer.hpp:97</a></div></div>
<div class="ttc" id="blas3__solve_8cpp_html_afebc249681af56fdd45860b32ed34b4e"><div class="ttname"><a href="blas3__solve_8cpp.html#afebc249681af56fdd45860b32ed34b4e">diff</a></div><div class="ttdeci">ScalarType diff(ScalarType &s1, viennacl::scalar< ScalarType > &s2)</div><div class="ttdef"><b>Definition:</b> <a href="blas3__solve_8cpp_source.html#l00050">blas3_solve.cpp:50</a></div></div>
<div class="ttc" id="tests_2src_2qr__method_8cpp_html_a7af373224fa1f7f0fef279d5ac5e8f4c"><div class="ttname"><a href="tests_2src_2qr__method_8cpp.html#a7af373224fa1f7f0fef279d5ac5e8f4c">read_vector_body</a></div><div class="ttdeci">void read_vector_body(std::fstream &f, std::vector< NumericT > &v)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2qr__method_8cpp_source.html#l00080">qr_method.cpp:80</a></div></div>
<div class="ttc" id="tests_2src_2qr__method_8cpp_html_a47a7b30d8303726a720d9554b1aab4eb"><div class="ttname"><a href="tests_2src_2qr__method_8cpp.html#a47a7b30d8303726a720d9554b1aab4eb">matrix_print</a></div><div class="ttdeci">void matrix_print(viennacl::matrix< NumericT, MatrixLayout > &A)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2qr__method_8cpp_source.html#l00166">qr_method.cpp:166</a></div></div>
<div class="ttc" id="tests_2src_2qr__method_8cpp_html_a1259070dbcfb21b870399fed956bd59f"><div class="ttname"><a href="tests_2src_2qr__method_8cpp.html#a1259070dbcfb21b870399fed956bd59f">matrix_compare</a></div><div class="ttdeci">NumericT matrix_compare(ublas::matrix< NumericT > &res, ublas::matrix< NumericT > &ref)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2qr__method_8cpp_source.html#l00129">qr_method.cpp:129</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a51cbe06645207f9b3054e8725269cc71"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a51cbe06645207f9b3054e8725269cc71">viennacl::linalg::qr_method_sym</a></div><div class="ttdeci">void qr_method_sym(viennacl::matrix< SCALARTYPE > &A, viennacl::matrix< SCALARTYPE > &Q, std::vector< SCALARTYPE > &D)</div><div class="ttdef"><b>Definition:</b> <a href="qr-method_8hpp_source.html#l00806">qr-method.hpp:806</a></div></div>
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