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<div class="title">qr_method_func.cpp</div> </div>
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<a href="qr__method__func_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">*</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment">* Test file for qr-method</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment">*</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> <span class="comment">// include necessary system headers</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#ifndef NDEBUG</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#a8de3ed741dadc9c979a4ff17c0a9116e"> 33</a></span> <span class="preprocessor"> #define NDEBUG</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#endif</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"><a class="line" href="qr__method__func_8cpp.html#af9d2311f8dd8c5536101e46f1351df56"> 36</a></span> <span class="preprocessor">#define VIENNACL_WITH_UBLAS</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include "<a class="code" href="scalar_8hpp.html">viennacl/scalar.hpp</a>"</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#include <fstream></span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#include <iomanip></span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</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="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include "<a class="code" href="qr-method-common_8hpp.html">viennacl/linalg/qr-method-common.hpp</a>"</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#include "<a class="code" href="matrix__operations_8hpp.html">viennacl/linalg/matrix_operations.hpp</a>"</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#include "<a class="code" href="random_8hpp.html">viennacl/tools/random.hpp</a>"</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae"> 49</a></span> <span class="preprocessor">#define EPS 10.0e-3</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> </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="keyword">namespace </span>ublas = boost::numeric::ublas;</div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5"> 53</a></span> <span class="keyword">typedef</span> <span class="keywordtype">float</span> <a class="code" href="qr__method__func_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</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> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#a18f8a7517201b7dbbf9970f170df6b32">read_matrix_size</a>(std::fstream& f, std::size_t& 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"><a class="line" href="qr__method__func_8cpp.html#a18f8a7517201b7dbbf9970f170df6b32"> 57</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#a18f8a7517201b7dbbf9970f170df6b32">read_matrix_size</a>(std::fstream& f, std::size_t& sz)</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">if</span>(!f.is_open())</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">throw</span> std::invalid_argument(<span class="stringliteral">"File is not opened"</span>);</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> </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  f >> sz;</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> <span class="keyword">template</span> <<span class="keyword">typename</span> MatrixLayout></div>
<div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#ad0d2305bfc2baef8e498c9628e99a936"> 67</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#ad0d2305bfc2baef8e498c9628e99a936">read_matrix_body</a>(std::fstream& f, <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType, MatrixLayout></a>& A)</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> {</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">if</span>(!f.is_open())</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  {</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"File is not opened"</span>);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  }</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>  boost::numeric::ublas::matrix<ScalarType> 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="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">for</span>(std::size_t i = 0; i < h_A.size1(); i++) {</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">for</span>(std::size_t j = 0; j < h_A.size2(); j++) {</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> val = 0.0;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  f >> val;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  h_A(i, j) = val;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  }</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> </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(h_A, A);</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> </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#a9d5f615c7a1d656c8c7ecbaa7e81c6ab">matrix_print</a>(<a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a>& A_orig);</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a name="l00089"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#a9d5f615c7a1d656c8c7ecbaa7e81c6ab"> 89</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#a9d5f615c7a1d656c8c7ecbaa7e81c6ab">matrix_print</a>(<a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a>& A_orig)</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>  ublas::matrix<ScalarType> 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="l00092"></a><span class="lineno"> 92</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(A_orig, A);</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</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="l00094"></a><span class="lineno"> 94</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="l00095"></a><span class="lineno"> 95</span>  std::cout << std::setprecision(6) << std::fixed << A(i, j) << <span class="stringliteral">"\t"</span>;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  std::cout << std::endl;</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>  std::cout << std::endl;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> }</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#a9d5f615c7a1d656c8c7ecbaa7e81c6ab">matrix_print</a>(ublas::matrix<ScalarType>& A);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a name="l00103"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#a80b7ea4086ab38d04bae426d3c534386"> 103</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#a9d5f615c7a1d656c8c7ecbaa7e81c6ab">matrix_print</a>(ublas::matrix<ScalarType>& A)</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>  <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="l00106"></a><span class="lineno"> 106</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="l00107"></a><span class="lineno"> 107</span>  std::cout << std::setprecision(6) << std::fixed << A(i, j) << <span class="stringliteral">"\t"</span>;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  std::cout << std::endl;</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>  std::cout << std::endl;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> }</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> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#afe063343d3b1e9d9665d8cb04dd59c6d">vector_print</a>(std::vector<ScalarType>& v );</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a name="l00115"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#afe063343d3b1e9d9665d8cb04dd59c6d"> 115</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#afe063343d3b1e9d9665d8cb04dd59c6d">vector_print</a>(std::vector<ScalarType>& v )</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> {</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < v.size(); i++)</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  std::cout << std::setprecision(6) << std::fixed << v[i] << <span class="stringliteral">",\t"</span>;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  std::cout << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> }</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</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> <span class="keyword">template</span> <<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> VCLMatrixType></div>
<div class="line"><a name="l00124"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#accb6d386a66b1ad26b6fa5c3f8cf9988"> 124</a></span> <span class="keywordtype">bool</span> <a class="code" href="qr__method__func_8cpp.html#accb6d386a66b1ad26b6fa5c3f8cf9988">check_for_equality</a>(MatrixType <span class="keyword">const</span> & ublas_A, VCLMatrixType <span class="keyword">const</span> & vcl_A)</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> {</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::value_type value_type;</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>  ublas::matrix<value_type> vcl_A_cpu(vcl_A.size1(), vcl_A.size2());</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a3707340b27c535438e213e3879b0f0a4">viennacl::backend::finish</a>(); <span class="comment">//workaround for a bug in APP SDK 2.7 on Trinity APUs (with Catalyst 12.8)</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_A, vcl_A_cpu);</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>  <span class="keywordflow">for</span> (std::size_t i=0; i<ublas_A.size1(); ++i)</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  {</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">for</span> (std::size_t j=0; j<ublas_A.size2(); ++j)</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  {</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">if</span> (std::abs(ublas_A(i,j) - vcl_A_cpu(i,j)) > <a class="code" href="qr__method__func_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a> * <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">std::max</a>(std::abs(ublas_A(i, j)), std::abs(vcl_A_cpu(i, j))))</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  {</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  std::cout << <span class="stringliteral">"Error at index ("</span> << i << <span class="stringliteral">", "</span> << j << <span class="stringliteral">"): "</span> << ublas_A(i,j) << <span class="stringliteral">" vs. "</span> << vcl_A_cpu(i,j) << std::endl;</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  std::cout << std::endl << <span class="stringliteral">"TEST failed!"</span> << std::endl;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</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>  std::cout << <span class="stringliteral">"PASSED!"</span> << std::endl;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">return</span> <span class="keyword">true</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> </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="keyword">template</span> <<span class="keyword">typename</span> VectorType></div>
<div class="line"><a name="l00149"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#a0d32ffba1dbd6aa9792b9907998e9656"> 149</a></span> <span class="keywordtype">bool</span> <a class="code" href="qr__method__func_8cpp.html#accb6d386a66b1ad26b6fa5c3f8cf9988">check_for_equality</a>(VectorType <span class="keyword">const</span> & vec_A, VectorType <span class="keyword">const</span> & vec_B)</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> </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordflow">for</span> (std::size_t i=0; i<vec_A.size(); ++i)</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>  <span class="keywordflow">if</span> (std::abs(vec_A[i] - vec_B[i]) > <a class="code" href="qr__method__func_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a>)</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  {</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  std::cout << <span class="stringliteral">"Error at index ("</span> << i << <span class="stringliteral">"): "</span> << vec_A[i] << <span class="stringliteral">" vs "</span> <<vec_B[i] << std::endl;</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  std::cout << std::endl << <span class="stringliteral">"TEST failed!"</span> << std::endl;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  }</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>  std::cout << <span class="stringliteral">"PASSED!"</span> << std::endl;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</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="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#a968e8a3776d54730884b6faf1ba422be">fill_vector</a>(std::vector<ScalarType>& v);</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> </div>
<div class="line"><a name="l00167"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#a968e8a3776d54730884b6faf1ba422be"> 167</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#a968e8a3776d54730884b6faf1ba422be">fill_vector</a>(std::vector<ScalarType>& v)</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> {</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <a class="code" href="classviennacl_1_1tools_1_1uniform__random__numbers.html">viennacl::tools::uniform_random_numbers<ScalarType></a> randomNumber;</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < v.size(); ++i)</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  v[i] = randomNumber();</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="comment">/*</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="comment"> * ------------Functions to be tested---------------</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> </div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> </div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <span class="keyword">template</span> <<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00183"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#a46f47e0b622209a8c6066f06c29af466"> 183</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#a46f47e0b622209a8c6066f06c29af466">house_update_A_left</a>(ublas::matrix<NumericT> & A,</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  std::vector<NumericT> D,</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="namespaceviennacl_1_1traits.html#a68603a1e1ca1bfb6d107831ba5096786">start</a>)</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> {</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> ss = 0;</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> </div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  std::size_t row_start = start + 1;</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="keywordflow">for</span>(std::size_t i = 0; i < A.size2(); i++)</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  {</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  ss = 0;</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keywordflow">for</span>(std::size_t j = row_start; j < A.size1(); j++)</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  ss = ss +(D[j] * A(j, i));</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> </div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keywordflow">for</span>(std::size_t j = row_start; j < A.size1(); j++)</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  A(j, i) = A(j, i) - (2 * D[j] * ss);</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> }</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> </div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="keyword">template</span> <<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00202"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#a27b869a54a6db4b7bb5050fcbf6c85f7"> 202</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#a27b869a54a6db4b7bb5050fcbf6c85f7">house_update_A_right</a>(ublas::matrix<NumericT> & A,</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  std::vector<NumericT> D)</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>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> ss = 0;</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>  <span class="keywordflow">for</span>(std::size_t i = 0; i < A.size1(); i++)</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>  ss = 0;</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keywordflow">for</span>(std::size_t j = 0; j < A.size2(); j++)</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  ss = ss + (D[j] * A(i, j));</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> </div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> sum_Av = ss;</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> </div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keywordflow">for</span>(std::size_t j = 0; j < A.size2(); j++)</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  A(i, j) = A(i, j) - (2 * D[j] * sum_Av);</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  }</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> }</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> </div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> </div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="keyword">template</span> <<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00222"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#a99cd2b0abfb1450f4942aacd0d41ba7c"> 222</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#a99cd2b0abfb1450f4942aacd0d41ba7c">house_update_QL</a>(ublas::matrix<NumericT> & Q,</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  std::vector<NumericT> D,</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  std::size_t A_size1)</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> </div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> {</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> beta = 2;</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  ublas::matrix<NumericT> ubl_P(A_size1, A_size1);</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  ublas::matrix<ScalarType> I = ublas::identity_matrix<ScalarType>(Q.size1());</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  ublas::matrix<NumericT> Q_temp(Q.size1(), Q.size2());</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span> </div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordflow">for</span>(std::size_t i = 0; i < Q.size1(); i++)</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  {</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keywordflow">for</span>(std::size_t j = 0; j < Q.size2(); j++)</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>  Q_temp(i, j) = Q(i, j);</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  }</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  }</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> </div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  ubl_P = ublas::identity_matrix<NumericT>(A_size1);</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> </div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="comment">//scaled_rank_1 update</span></div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keywordflow">for</span>(std::size_t i = 0; i < A_size1; i++)</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>  <span class="keywordflow">for</span>(std::size_t j = 0; j < A_size1; j++)</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  {</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  ubl_P(i, j) = I(i, j) - beta * (D[i] * D[j]);</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  }</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>  Q = <a class="code" href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">ublas::prod</a>(Q_temp, ubl_P);</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> }</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> </div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> <span class="keyword">template</span> <<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00254"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#aa3bec89816a022bcb392445adacec81d"> 254</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#aa3bec89816a022bcb392445adacec81d">givens_next</a>(ublas::matrix<NumericT> & Q,</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  std::vector<NumericT> & tmp1,</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  std::vector<NumericT> & tmp2,</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keywordtype">int</span> l,</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keywordtype">int</span> m)</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>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i2 = m - 1; i2 >= l; i2--)</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  {</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  std::size_t i = <span class="keyword">static_cast<</span>std::size_t<span class="keyword">></span>(i2);</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keywordflow">for</span>(std::size_t k = 0; k < Q.size1(); k++)</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>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> h = Q(k, i+1);</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  Q(k, i+1) = tmp2[i] * Q(k, i) + tmp1[i]*h;</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  Q(k, i) = tmp1[i] * Q(k, i) - tmp2[i]*h;</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  }</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> }</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> </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="keyword">template</span> <<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00274"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#adea4c31c93158ab7c09c07510b085f1b"> 274</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#adea4c31c93158ab7c09c07510b085f1b">copy_vec</a>(ublas::matrix<NumericT>& A,</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  std::vector<NumericT> & V,</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  std::size_t row_start,</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  std::size_t col_start,</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keywordtype">bool</span> copy_col)</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> {</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="keywordflow">if</span>(copy_col)</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  {</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keywordflow">for</span>(std::size_t i = row_start; i < A.size1(); i++)</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  {</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  V[i - row_start] = A(i, col_start);</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>  }</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  {</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keywordflow">for</span>(std::size_t i = col_start; i < A.size1(); i++)</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  {</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  V[i - col_start] = A(row_start, i);</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"> 295</span> </div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> <span class="keyword">template</span> <<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00297"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#af1ef6893285540d49fc3ed9ba8aa2c7a"> 297</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#af1ef6893285540d49fc3ed9ba8aa2c7a">bidiag_pack</a>(ublas::matrix<NumericT> & A,</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  std::vector<NumericT> & D,</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  std::vector<NumericT> & S)</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> </div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span> {</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  std::size_t <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a> = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#aef015779a92be597e546c3491cebf6c1">std::min</a>(D.size(), S.size());</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  std::size_t i = 0;</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keywordflow">for</span>(i = 0; i < size - 1; i++)</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>  D[i] = A(i, i);</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  S[i + 1] = A(i, i + 1);</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  }</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  D[size - 1] = A(size - 1, size - 1);</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span> }</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> </div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> <span class="keyword">template</span> <<span class="keyword">typename</span> MatrixLayout></div>
<div class="line"><a name="l00314"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#a89745f1f6471edc27c9a57e60d94114b"> 314</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__method__func_8cpp.html#a89745f1f6471edc27c9a57e60d94114b">test_qr_method_sym</a>(<span class="keyword">const</span> std::string& fn)</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span> {</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  std::cout << <span class="stringliteral">"Reading..."</span> << std::endl;</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  std::size_t sz;</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>  <span class="comment">// read file</span></div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  std::fstream f(fn.c_str(), std::fstream::in);</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="comment">//read size of input matrix</span></div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <a class="code" href="qr__method__func_8cpp.html#a18f8a7517201b7dbbf9970f170df6b32">read_matrix_size</a>(f, sz);</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span> </div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType, MatrixLayout></a> vcl_A(sz, sz), vcl_Q(sz, sz);</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> vcl_D(sz), vcl_E(sz), vcl_F(sz), vcl_G(sz), vcl_H(sz);</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  std::vector<ScalarType> std_D(sz), std_E(sz), std_F(sz), std_G(sz), std_H(sz);</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  ublas::matrix<ScalarType> ubl_A(sz, sz), ubl_Q(sz, sz);</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> </div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span> </div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  std::cout << <span class="stringliteral">"Testing matrix of size "</span> << sz << <span class="stringliteral">"-by-"</span> << sz << std::endl << 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>  <a class="code" href="qr__method__func_8cpp.html#ad0d2305bfc2baef8e498c9628e99a936">read_matrix_body</a>(f, vcl_A);</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  f.close();</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_A, ubl_A);</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span> </div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <a class="code" href="qr__method__func_8cpp.html#a968e8a3776d54730884b6faf1ba422be">fill_vector</a>(std_D);</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(std_D, vcl_D);</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span> <span class="comment">//--------------------------------------------------------</span></div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  std::cout << std::endl << <span class="stringliteral">"Testing house_update_left..."</span> << std::endl;</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a706c4d0b456ec669c3a8c2eea8cc3fc4">viennacl::linalg::house_update_A_left</a>(vcl_A, vcl_D, 0);</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <a class="code" href="qr__method__func_8cpp.html#a46f47e0b622209a8c6066f06c29af466">house_update_A_left</a>(ubl_A, std_D, 0);</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span> </div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <span class="keywordflow">if</span>(!<a class="code" href="qr__method__func_8cpp.html#accb6d386a66b1ad26b6fa5c3f8cf9988">check_for_equality</a>(ubl_A, vcl_A))</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  exit(EXIT_FAILURE);</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span> <span class="comment">//--------------------------------------------------------</span></div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  std::cout << std::endl << <span class="stringliteral">"Testing house_update_right..."</span> << std::endl;</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(ubl_A, vcl_A);</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(std_D, vcl_D);</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a34c93371a5e45fe498bf1dc4dd475497">viennacl::linalg::house_update_A_right</a>(vcl_A, vcl_D);</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <a class="code" href="qr__method__func_8cpp.html#a27b869a54a6db4b7bb5050fcbf6c85f7">house_update_A_right</a>(ubl_A, std_D);</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> </div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <span class="keywordflow">if</span>(!<a class="code" href="qr__method__func_8cpp.html#accb6d386a66b1ad26b6fa5c3f8cf9988">check_for_equality</a>(ubl_A, vcl_A))</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  exit(EXIT_FAILURE);</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span> <span class="comment">//--------------------------------------------------------</span></div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span> </div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  std::cout << std::endl << <span class="stringliteral">"Testing house_update_QL..."</span> << std::endl;</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  ubl_Q = ublas::identity_matrix<ScalarType>(ubl_Q.size1());</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(ubl_Q, vcl_Q);</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(ubl_A, vcl_A);</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(std_D, vcl_D);</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ab58751eae7fc9a4af532b447728880ab">viennacl::linalg::house_update_QL</a>(vcl_Q, vcl_D, vcl_A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>());</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <a class="code" href="qr__method__func_8cpp.html#a99cd2b0abfb1450f4942aacd0d41ba7c">house_update_QL</a>(ubl_Q, std_D, ubl_A.size1());</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  <span class="keywordflow">if</span>(!<a class="code" href="qr__method__func_8cpp.html#accb6d386a66b1ad26b6fa5c3f8cf9988">check_for_equality</a>(ubl_Q, vcl_Q))</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  exit(EXIT_FAILURE);</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span> <span class="comment">//--------------------------------------------------------</span></div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span> </div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  std::cout << std::endl << <span class="stringliteral">"Testing givens next..."</span> << std::endl;</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <a class="code" href="qr__method__func_8cpp.html#a968e8a3776d54730884b6faf1ba422be">fill_vector</a>(std_E);</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <a class="code" href="qr__method__func_8cpp.html#a968e8a3776d54730884b6faf1ba422be">fill_vector</a>(std_F);</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(std_E, vcl_E);</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(std_F, vcl_F);</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(ubl_Q, vcl_Q);</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(ubl_A, vcl_A);</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a22c5bc49dfdc3c85b101694cca8d23cb">viennacl::linalg::givens_next</a>(vcl_Q, vcl_E, vcl_F, 2, 5);</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <a class="code" href="qr__method__func_8cpp.html#aa3bec89816a022bcb392445adacec81d">givens_next</a>(ubl_Q, std_E, std_F, 2, 5);</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <span class="keywordflow">if</span>(!<a class="code" href="qr__method__func_8cpp.html#accb6d386a66b1ad26b6fa5c3f8cf9988">check_for_equality</a>(ubl_Q, vcl_Q))</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  exit(EXIT_FAILURE);</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> <span class="comment">//--------------------------------------------------------</span></div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  std::cout << std::endl << <span class="stringliteral">"Testing copy vec..."</span> << std::endl;</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a0aec751d37dbd7b6d45ea9340fa8a317">viennacl::linalg::copy_vec</a>(vcl_A, vcl_D, 0, 2, 1);</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <a class="code" href="qr__method__func_8cpp.html#adea4c31c93158ab7c09c07510b085f1b">copy_vec</a>(ubl_A, std_D, 0, 2, 1);</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(vcl_D, std_E); <span class="comment">//check for equality only for same vector types</span></div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <span class="keywordflow">if</span>(!<a class="code" href="qr__method__func_8cpp.html#accb6d386a66b1ad26b6fa5c3f8cf9988">check_for_equality</a>(std_D, std_E))</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  exit(EXIT_FAILURE);</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span> </div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span> <span class="comment">//--------------------------------------------------------</span></div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  std::cout << std::endl << <span class="stringliteral">"Testing bidiag pack..."</span> << std::endl;</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a9bb0d10b3784c0eec40296cd94f1bd38">viennacl::linalg::bidiag_pack</a>(vcl_A, vcl_D, vcl_F);</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  vcl_F[0] = 0; <span class="comment">// first element in superdiagonal is irrelevant.</span></div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <a class="code" href="qr__method__func_8cpp.html#af1ef6893285540d49fc3ed9ba8aa2c7a">bidiag_pack</a>(ubl_A, std_G, std_H);</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  std_H[0] = 0;</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(std_G, vcl_G);</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(std_H, vcl_H);</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span> </div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="keywordflow">if</span>(!<a class="code" href="qr__method__func_8cpp.html#accb6d386a66b1ad26b6fa5c3f8cf9988">check_for_equality</a>(vcl_D, vcl_G))</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  exit(EXIT_FAILURE);</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <span class="keywordflow">if</span>(!<a class="code" href="qr__method__func_8cpp.html#accb6d386a66b1ad26b6fa5c3f8cf9988">check_for_equality</a>(vcl_F, vcl_H))</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  exit(EXIT_FAILURE);</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span> <span class="comment">//--------------------------------------------------------</span></div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> }</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span> </div>
<div class="line"><a name="l00402"></a><span class="lineno"><a class="line" href="qr__method__func_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 402</a></span> <span class="keywordtype">int</span> <a class="code" href="qr__method__func_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>()</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span> {</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span> </div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  std::cout << std::endl << <span class="stringliteral">"Test qr_method_sym for row_major matrix"</span> << std::endl;</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  test_qr_method_sym<viennacl::row_major>(<span class="stringliteral">"../examples/testdata/eigen/symm5.example"</span>);</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span> </div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  std::cout << std::endl << <span class="stringliteral">"Test qr_method_sym for column_major matrix"</span> << std::endl;</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  test_qr_method_sym<viennacl::column_major>(<span class="stringliteral">"../examples/testdata/eigen/symm5.example"</span>);</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span> </div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> </div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  std::cout << std::endl <<<span class="stringliteral">"--------TEST SUCCESSFULLY COMPLETED----------"</span> << std::endl;</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span> }</div>
<div class="ttc" id="qr__method__func_8cpp_html_accb6d386a66b1ad26b6fa5c3f8cf9988"><div class="ttname"><a href="qr__method__func_8cpp.html#accb6d386a66b1ad26b6fa5c3f8cf9988">check_for_equality</a></div><div class="ttdeci">bool check_for_equality(MatrixType const &ublas_A, VCLMatrixType const &vcl_A)</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00124">qr_method_func.cpp:124</a></div></div>
<div class="ttc" id="qr__method__func_8cpp_html_adea4c31c93158ab7c09c07510b085f1b"><div class="ttname"><a href="qr__method__func_8cpp.html#adea4c31c93158ab7c09c07510b085f1b">copy_vec</a></div><div class="ttdeci">void copy_vec(ublas::matrix< NumericT > &A, std::vector< NumericT > &V, std::size_t row_start, std::size_t col_start, bool copy_col)</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00274">qr_method_func.cpp:274</a></div></div>
<div class="ttc" id="matrix__operations_8hpp_html"><div class="ttname"><a href="matrix__operations_8hpp.html">matrix_operations.hpp</a></div><div class="ttdoc">Implementations of dense matrix related operations including matrix-vector products. </div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a0aec751d37dbd7b6d45ea9340fa8a317"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a0aec751d37dbd7b6d45ea9340fa8a317">viennacl::linalg::copy_vec</a></div><div class="ttdeci">void copy_vec(matrix_base< SCALARTYPE > &A, vector_base< SCALARTYPE > &V, vcl_size_t row_start, vcl_size_t col_start, bool copy_col)</div><div class="ttdoc">This function copies a row or a column from a matrix to a vector. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__operations_8hpp_source.html#l00942">matrix_operations.hpp:942</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="namespaceviennacl_1_1linalg_html_a34c93371a5e45fe498bf1dc4dd475497"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a34c93371a5e45fe498bf1dc4dd475497">viennacl::linalg::house_update_A_right</a></div><div class="ttdeci">void house_update_A_right(matrix_base< NumericT > &A, vector_base< NumericT > &D)</div><div class="ttdoc">This function applies a householder transformation to a matrix: A <- A * P with a householder reflect...</div><div class="ttdef"><b>Definition:</b> <a href="matrix__operations_8hpp_source.html#l01018">matrix_operations.hpp:1018</a></div></div>
<div class="ttc" id="qr__method__func_8cpp_html_a89745f1f6471edc27c9a57e60d94114b"><div class="ttname"><a href="qr__method__func_8cpp.html#a89745f1f6471edc27c9a57e60d94114b">test_qr_method_sym</a></div><div class="ttdeci">void test_qr_method_sym(const std::string &fn)</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00314">qr_method_func.cpp:314</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ab58751eae7fc9a4af532b447728880ab"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ab58751eae7fc9a4af532b447728880ab">viennacl::linalg::house_update_QL</a></div><div class="ttdeci">void house_update_QL(matrix_base< NumericT > &Q, vector_base< NumericT > &D, vcl_size_t A_size1)</div><div class="ttdoc">This function updates the matrix Q, which is needed for the computation of the eigenvectors. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__operations_8hpp_source.html#l01053">matrix_operations.hpp:1053</a></div></div>
<div class="ttc" id="qr__method__func_8cpp_html_a99cd2b0abfb1450f4942aacd0d41ba7c"><div class="ttname"><a href="qr__method__func_8cpp.html#a99cd2b0abfb1450f4942aacd0d41ba7c">house_update_QL</a></div><div class="ttdeci">void house_update_QL(ublas::matrix< NumericT > &Q, std::vector< NumericT > D, std::size_t A_size1)</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00222">qr_method_func.cpp:222</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1backend_html_a3707340b27c535438e213e3879b0f0a4"><div class="ttname"><a href="namespaceviennacl_1_1backend.html#a3707340b27c535438e213e3879b0f0a4">viennacl::backend::finish</a></div><div class="ttdeci">void finish()</div><div class="ttdoc">Synchronizes the execution. finish() will only return after all compute kernels (CUDA, OpenCL) have completed. </div><div class="ttdef"><b>Definition:</b> <a href="memory_8hpp_source.html#l00054">memory.hpp:54</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="qr__method__func_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="qr__method__func_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00402">qr_method_func.cpp:402</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="qr__method__func_8cpp_html_ad5c19ca4f47d3f8ec21232a5af2624e5"><div class="ttname"><a href="qr__method__func_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a></div><div class="ttdeci">float ScalarType</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00053">qr_method_func.cpp:53</a></div></div>
<div class="ttc" id="qr__method__func_8cpp_html_a18f8a7517201b7dbbf9970f170df6b32"><div class="ttname"><a href="qr__method__func_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="qr__method__func_8cpp_source.html#l00057">qr_method_func.cpp:57</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="qr__method__func_8cpp_html_a6ebf6899d6c1c8b7b9d09be872c05aae"><div class="ttname"><a href="qr__method__func_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a></div><div class="ttdeci">#define EPS</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00049">qr_method_func.cpp:49</a></div></div>
<div class="ttc" id="qr__method__func_8cpp_html_a27b869a54a6db4b7bb5050fcbf6c85f7"><div class="ttname"><a href="qr__method__func_8cpp.html#a27b869a54a6db4b7bb5050fcbf6c85f7">house_update_A_right</a></div><div class="ttdeci">void house_update_A_right(ublas::matrix< NumericT > &A, std::vector< NumericT > D)</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00202">qr_method_func.cpp:202</a></div></div>
<div class="ttc" id="qr-method-common_8hpp_html"><div class="ttname"><a href="qr-method-common_8hpp.html">qr-method-common.hpp</a></div><div class="ttdoc">Common routines used for the QR method and SVD. Experimental. </div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_aa2344ea20469f55fbc15a8e9526494d0"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">viennacl::traits::size</a></div><div class="ttdeci">vcl_size_t size(VectorType const &vec)</div><div class="ttdoc">Generic routine for obtaining the size of a vector (ViennaCL, uBLAS, etc.) </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00239">size.hpp:239</a></div></div>
<div class="ttc" id="qr__method__func_8cpp_html_a46f47e0b622209a8c6066f06c29af466"><div class="ttname"><a href="qr__method__func_8cpp.html#a46f47e0b622209a8c6066f06c29af466">house_update_A_left</a></div><div class="ttdeci">void house_update_A_left(ublas::matrix< NumericT > &A, std::vector< NumericT > D, unsigned int start)</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00183">qr_method_func.cpp:183</a></div></div>
<div class="ttc" id="qr__method__func_8cpp_html_a968e8a3776d54730884b6faf1ba422be"><div class="ttname"><a href="qr__method__func_8cpp.html#a968e8a3776d54730884b6faf1ba422be">fill_vector</a></div><div class="ttdeci">void fill_vector(std::vector< ScalarType > &v)</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00167">qr_method_func.cpp:167</a></div></div>
<div class="ttc" id="classviennacl_1_1tools_1_1uniform__random__numbers_html"><div class="ttname"><a href="classviennacl_1_1tools_1_1uniform__random__numbers.html">viennacl::tools::uniform_random_numbers</a></div><div class="ttdoc">Random number generator for returning uniformly distributed values in the closed interval [0...</div><div class="ttdef"><b>Definition:</b> <a href="random_8hpp_source.html#l00044">random.hpp:44</a></div></div>
<div class="ttc" id="qr__method__func_8cpp_html_aa3bec89816a022bcb392445adacec81d"><div class="ttname"><a href="qr__method__func_8cpp.html#aa3bec89816a022bcb392445adacec81d">givens_next</a></div><div class="ttdeci">void givens_next(ublas::matrix< NumericT > &Q, std::vector< NumericT > &tmp1, std::vector< NumericT > &tmp2, int l, int m)</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00254">qr_method_func.cpp:254</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a9bb0d10b3784c0eec40296cd94f1bd38"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a9bb0d10b3784c0eec40296cd94f1bd38">viennacl::linalg::bidiag_pack</a></div><div class="ttdeci">void bidiag_pack(matrix_base< NumericT > &A, VectorType &dh, VectorType &sh)</div><div class="ttdoc">This function stores the diagonal and the superdiagonal of a matrix in two vectors. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__operations_8hpp_source.html#l00901">matrix_operations.hpp:901</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a68603a1e1ca1bfb6d107831ba5096786"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a68603a1e1ca1bfb6d107831ba5096786">viennacl::traits::start</a></div><div class="ttdeci">result_of::size_type< T >::type start(T const &obj)</div><div class="ttdef"><b>Definition:</b> <a href="start_8hpp_source.html#l00044">start.hpp:44</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a706c4d0b456ec669c3a8c2eea8cc3fc4"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a706c4d0b456ec669c3a8c2eea8cc3fc4">viennacl::linalg::house_update_A_left</a></div><div class="ttdeci">void house_update_A_left(matrix_base< NumericT > &A, vector_base< NumericT > &D, vcl_size_t start)</div><div class="ttdoc">This function applies a householder transformation to a matrix. A <- P * A with a householder reflect...</div><div class="ttdef"><b>Definition:</b> <a href="matrix__operations_8hpp_source.html#l00981">matrix_operations.hpp:981</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_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector< ScalarType ></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="qr__method__func_8cpp_html_af1ef6893285540d49fc3ed9ba8aa2c7a"><div class="ttname"><a href="qr__method__func_8cpp.html#af1ef6893285540d49fc3ed9ba8aa2c7a">bidiag_pack</a></div><div class="ttdeci">void bidiag_pack(ublas::matrix< NumericT > &A, std::vector< NumericT > &D, std::vector< NumericT > &S)</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00297">qr_method_func.cpp:297</a></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="sparse__prod_8cpp_html_a2c8637b3d6a972d1d8fd85fb3089c6da"><div class="ttname"><a href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">prod</a></div><div class="ttdeci">void prod(std::vector< std::map< IndexT, NumericT > > const &stl_A, std::vector< std::map< IndexT, NumericT > > const &stl_B, std::vector< std::map< IndexT, NumericT > > &stl_C)</div><div class="ttdef"><b>Definition:</b> <a href="sparse__prod_8cpp_source.html#l00114">sparse_prod.cpp:114</a></div></div>
<div class="ttc" id="vector_8hpp_html"><div class="ttname"><a href="vector_8hpp.html">vector.hpp</a></div><div class="ttdoc">The vector type with operator-overloads and proxy classes is defined here. Linear algebra operations ...</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="random_8hpp_html"><div class="ttname"><a href="random_8hpp.html">random.hpp</a></div><div class="ttdoc">A small collection of sequential random number generators. </div></div>
<div class="ttc" id="qr__method__func_8cpp_html_ad0d2305bfc2baef8e498c9628e99a936"><div class="ttname"><a href="qr__method__func_8cpp.html#ad0d2305bfc2baef8e498c9628e99a936">read_matrix_body</a></div><div class="ttdeci">void read_matrix_body(std::fstream &f, viennacl::matrix< ScalarType, MatrixLayout > &A)</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00067">qr_method_func.cpp:67</a></div></div>
<div class="ttc" id="fft__1d_8cpp_html_ad5c19ca4f47d3f8ec21232a5af2624e5"><div class="ttname"><a href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a></div><div class="ttdeci">float ScalarType</div><div class="ttdef"><b>Definition:</b> <a href="fft__1d_8cpp_source.html#l00042">fft_1d.cpp:42</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_aef015779a92be597e546c3491cebf6c1"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#aef015779a92be597e546c3491cebf6c1">viennacl::linalg::detail::min</a></div><div class="ttdeci">T min(const T &lhs, const T &rhs)</div><div class="ttdoc">Minimum. </div><div class="ttdef"><b>Definition:</b> <a href="linalg_2detail_2bisect_2util_8hpp_source.html#l00045">util.hpp:45</a></div></div>
<div class="ttc" id="qr__method__func_8cpp_html_a9d5f615c7a1d656c8c7ecbaa7e81c6ab"><div class="ttname"><a href="qr__method__func_8cpp.html#a9d5f615c7a1d656c8c7ecbaa7e81c6ab">matrix_print</a></div><div class="ttdeci">void matrix_print(viennacl::matrix< ScalarType > &A_orig)</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00089">qr_method_func.cpp:89</a></div></div>
<div class="ttc" id="scalar_8hpp_html"><div class="ttname"><a href="scalar_8hpp.html">scalar.hpp</a></div><div class="ttdoc">Implementation of the ViennaCL scalar class. </div></div>
<div class="ttc" id="qr__method__func_8cpp_html_afe063343d3b1e9d9665d8cb04dd59c6d"><div class="ttname"><a href="qr__method__func_8cpp.html#afe063343d3b1e9d9665d8cb04dd59c6d">vector_print</a></div><div class="ttdeci">void vector_print(std::vector< ScalarType > &v)</div><div class="ttdef"><b>Definition:</b> <a href="qr__method__func_8cpp_source.html#l00115">qr_method_func.cpp:115</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a22c5bc49dfdc3c85b101694cca8d23cb"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a22c5bc49dfdc3c85b101694cca8d23cb">viennacl::linalg::givens_next</a></div><div class="ttdeci">void givens_next(matrix_base< NumericT > &Q, vector_base< NumericT > &tmp1, vector_base< NumericT > &tmp2, int l, int m)</div><div class="ttdoc">This function updates the matrix Q. It is part of the tql2 algorithm. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__operations_8hpp_source.html#l01092">matrix_operations.hpp:1092</a></div></div>
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