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<div class="title">svd.cpp</div> </div>
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<a href="svd_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="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdexcept></span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <string></span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <cmath></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="preprocessor">#include "<a class="code" href="matrix_8hpp.html">viennacl/matrix.hpp</a>"</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="svd_8hpp.html">viennacl/linalg/svd.hpp</a>"</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> </div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="timer_8hpp.html">viennacl/tools/timer.hpp</a>"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</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"><a class="line" href="svd_8cpp.html#ae596b77621e62df40ba4f4754a80de30"> 38</a></span> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="svd_8cpp.html#ae596b77621e62df40ba4f4754a80de30">read_matrix_size</a>(std::fstream& f, std::size_t & sz1, std::size_t & sz2)</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> {</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordflow">if</span> (!f.is_open())</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"File is not opened"</span>);</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> </div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  f >> sz1 >> sz2;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> }</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> </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="svd_8cpp.html#a84786406ff1d6a07477969c2cc565a1e"> 48</a></span> <span class="keywordtype">void</span> <a class="code" href="svd_8cpp.html#a84786406ff1d6a07477969c2cc565a1e">read_matrix_body</a>(std::fstream& f, <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a>& A)</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>  <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"File is not opened"</span>);</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</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="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < h_A.size1(); i++)</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>  <span class="keywordflow">for</span> (std::size_t j = 0; j < h_A.size2(); j++)</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>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> val = 0.0;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  f >> val;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  h_A(i, j) = val;</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> </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(h_A, A);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> }</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> </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="svd_8cpp.html#aa3134c0eee84ed8ed638e749635c590f"> 70</a></span> <span class="keywordtype">void</span> <a class="code" href="svd_8cpp.html#aa3134c0eee84ed8ed638e749635c590f">read_vector_body</a>(std::fstream& f, std::vector<ScalarType>& v)</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> {</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">if</span> (!f.is_open())</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"File is not opened"</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>  <span class="keywordflow">for</span> (std::size_t i = 0; i < v.size(); i++)</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  {</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> val = 0.0;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  f >> val;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  v[i] = val;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  }</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> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="svd_8cpp.html#ae2464a615260c9fe4d20cd6c8027fb73"> 85</a></span> <span class="keywordtype">void</span> <a class="code" href="svd_8cpp.html#ae2464a615260c9fe4d20cd6c8027fb73">random_fill</a>(std::vector<ScalarType>& in)</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="keywordflow">for</span> (std::size_t i = 0; i < in.size(); i++)</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  in[i] = static_cast<ScalarType>(rand()) / <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(RAND_MAX);</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> ScalarType></div>
<div class="line"><a name="l00093"></a><span class="lineno"><a class="line" href="svd_8cpp.html#a6e1ecb547a227b6e7c06c445339a97eb"> 93</a></span> <span class="keywordtype">bool</span> <a class="code" href="svd_8cpp.html#a6e1ecb547a227b6e7c06c445339a97eb">check_bidiag</a>(<a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a>& 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>  <span class="keyword">const</span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> <a class="code" href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a> = 0.0001f;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  std::vector<ScalarType> aA(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="l00098"></a><span class="lineno"> 98</span>  <a class="code" href="namespaceviennacl.html#aaa5c8726b45bc89a523ca2fa8c42107a">viennacl::fast_copy</a>(A, &aA[0]);</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>  <span class="keywordflow">for</span> (std::size_t i = 0; i < A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(); i++)</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="keywordflow">for</span> (std::size_t j = 0; j < A.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>(); j++)</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  {</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> val = aA[i * A.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>() + j];</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">if</span> ((fabs(val) > EPS) && (i != j) && ((i + 1) != j))</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>  std::cout << <span class="stringliteral">"Failed at "</span> << i << <span class="stringliteral">" "</span> << j << <span class="stringliteral">" "</span> << val << std::endl;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keywordflow">return</span> <span class="keyword">false</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>  }</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="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> }</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="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00117"></a><span class="lineno"><a class="line" href="svd_8cpp.html#a808807ac9ef66cfb0517671cf51b33be"> 117</a></span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> <a class="code" href="svd_8cpp.html#a808807ac9ef66cfb0517671cf51b33be">matrix_compare</a>(<a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a>& res,</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a>& ref)</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>  std::vector<ScalarType> res_std(res.<a class="code" href="classviennacl_1_1matrix__base.html#a7f1b176eaa22875c3dc04750498616a1">internal_size</a>());</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  std::vector<ScalarType> ref_std(ref.<a class="code" href="classviennacl_1_1matrix__base.html#a7f1b176eaa22875c3dc04750498616a1">internal_size</a>());</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>  <a class="code" href="namespaceviennacl.html#aaa5c8726b45bc89a523ca2fa8c42107a">viennacl::fast_copy</a>(res, &res_std[0]);</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <a class="code" href="namespaceviennacl.html#aaa5c8726b45bc89a523ca2fa8c42107a">viennacl::fast_copy</a>(ref, &ref_std[0]);</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>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> <a class="code" href="blas3__solve_8cpp.html#afebc249681af56fdd45860b32ed34b4e">diff</a> = 0.0;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> mx = 0.0;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> </div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < res_std.size(); i++)</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  {</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  diff = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">std::max</a>(diff, std::abs(res_std[i] - ref_std[i]));</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  mx = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">std::max</a>(mx, res_std[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> </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordflow">return</span> diff / mx;</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> </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> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00140"></a><span class="lineno"><a class="line" href="svd_8cpp.html#a2e9a63cee87f5dd2bf49ca31c7415100"> 140</a></span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> <a class="code" href="svd_8cpp.html#a2e9a63cee87f5dd2bf49ca31c7415100">sigmas_compare</a>(<a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a>& res,</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  std::vector<ScalarType>& ref)</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>  std::vector<ScalarType> res_std(ref.size());</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < ref.size(); i++)</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  res_std[i] = res(i, i);</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>  std::sort(ref.begin(), ref.end());</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  std::sort(res_std.begin(), res_std.end());</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>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> <a class="code" href="blas3__solve_8cpp.html#afebc249681af56fdd45860b32ed34b4e">diff</a> = 0.0;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> mx = 0.0;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < ref.size(); i++)</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  {</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  diff = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">std::max</a>(diff, std::abs(res_std[i] - ref[i]));</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  mx = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">std::max</a>(mx, res_std[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> </div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordflow">return</span> diff / mx;</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> </div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00164"></a><span class="lineno"><a class="line" href="svd_8cpp.html#adb86a37c6f0f7ed9c35c711f2baec667"> 164</a></span> <span class="keywordtype">void</span> <a class="code" href="svd_8cpp.html#adb86a37c6f0f7ed9c35c711f2baec667">test_svd</a>(<span class="keyword">const</span> std::string & fn, <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> <a class="code" href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a>)</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> {</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  std::size_t sz1, sz2;</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="comment">//read matrix</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> </div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="comment">// sz1 = 2048, sz2 = 2048;</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="comment">// std::vector<ScalarType> in(sz1 * sz2);</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="comment">// random_fill(in);</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>  <span class="comment">// read file</span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  std::fstream f(fn.c_str(), std::fstream::in);</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="comment">//read size of input matrix</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <a class="code" href="svd_8cpp.html#ae596b77621e62df40ba4f4754a80de30">read_matrix_size</a>(f, sz1, sz2);</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> </div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  std::size_t to = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#aef015779a92be597e546c3491cebf6c1">std::min</a>(sz1, sz2);</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>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> Ai(sz1, sz2), Aref(sz1, sz2), QL(sz1, sz1), QR(sz2, sz2);</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <a class="code" href="svd_8cpp.html#a84786406ff1d6a07477969c2cc565a1e">read_matrix_body</a>(f, Ai);</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  std::vector<ScalarType> sigma_ref(to);</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <a class="code" href="svd_8cpp.html#aa3134c0eee84ed8ed638e749635c590f">read_vector_body</a>(f, sigma_ref);</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>  f.close();</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>  <span class="comment">// viennacl::fast_copy(&in[0], &in[0] + in.size(), Ai);</span></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>  Aref = Ai;</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> </div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <a class="code" href="classviennacl_1_1tools_1_1timer.html">viennacl::tools::timer</a> timer;</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  timer.<a class="code" href="classviennacl_1_1tools_1_1timer.html#ac3e360cdcecfb05861baa2800e4f2888">start</a>();</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>  <a class="code" href="namespaceviennacl_1_1linalg.html#a7dd4119fc5dfef5c067af3b46bd86191">viennacl::linalg::svd</a>(Ai, QL, QR);</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> </div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a3707340b27c535438e213e3879b0f0a4">viennacl::backend::finish</a>();</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>  <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="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> result1(sz1, sz2), result2(sz1, sz2);</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  result1 = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(QL, Ai);</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  result2 = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(result1, <a class="code" href="blas3__solve_8cpp.html#ad8f94754a20a0c6dc74fd3cb5eb675b3">trans</a>(QR));</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> </div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> sigma_diff = <a class="code" href="svd_8cpp.html#a2e9a63cee87f5dd2bf49ca31c7415100">sigmas_compare</a>(Ai, sigma_ref);</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> prods_diff = <a class="code" href="svd_8cpp.html#a808807ac9ef66cfb0517671cf51b33be">matrix_compare</a>(result2, Aref);</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>  <span class="keywordtype">bool</span> sigma_ok = (fabs(sigma_diff) < <a class="code" href="tests_2src_2bisect_8cpp.html#a6ebf6899d6c1c8b7b9d09be872c05aae">EPS</a>)</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  && (fabs(prods_diff) < std::sqrt(EPS)); <span class="comment">//note: computing the product is not accurate down to 10^{-16}, so we allow for a higher tolerance here</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> </div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  printf(<span class="stringliteral">"%6s [%dx%d] %40s sigma_diff = %.6f; prod_diff = %.6f; time = %.6f\n"</span>, sigma_ok?<span class="stringliteral">"[[OK]]"</span>:<span class="stringliteral">"[FAIL]"</span>, (<span class="keywordtype">int</span>)Aref.size1(), (int)Aref.size2(), fn.c_str(), sigma_diff, prods_diff, time_spend);</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keywordflow">if</span> (!sigma_ok)</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  exit(EXIT_FAILURE);</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> }</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> </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> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00219"></a><span class="lineno"><a class="line" href="svd_8cpp.html#a29d0d0e3d49b688e2a74678af4ccb572"> 219</a></span> <span class="keywordtype">void</span> <a class="code" href="svd_8cpp.html#a29d0d0e3d49b688e2a74678af4ccb572">time_svd</a>(std::size_t sz1, std::size_t sz2)</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>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> Ai(sz1, sz2), QL(sz1, sz1), QR(sz2, sz2);</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> </div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  std::vector<ScalarType> in(Ai.internal_size1() * Ai.internal_size2());</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <a class="code" href="svd_8cpp.html#ae2464a615260c9fe4d20cd6c8027fb73">random_fill</a>(in);</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>  <a class="code" href="namespaceviennacl.html#aaa5c8726b45bc89a523ca2fa8c42107a">viennacl::fast_copy</a>(&in[0], &in[0] + in.size(), Ai);</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</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>  <a class="code" href="classviennacl_1_1tools_1_1timer.html">viennacl::tools::timer</a> timer;</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  timer.<a class="code" href="classviennacl_1_1tools_1_1timer.html#ac3e360cdcecfb05861baa2800e4f2888">start</a>();</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>  <a class="code" href="namespaceviennacl_1_1linalg.html#a7dd4119fc5dfef5c067af3b46bd86191">viennacl::linalg::svd</a>(Ai, QL, QR);</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a3707340b27c535438e213e3879b0f0a4">viennacl::backend::finish</a>();</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keywordtype">double</span> time_spend = timer.get();</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>  printf(<span class="stringliteral">"[%dx%d] time = %.6f\n"</span>, static_cast<int>(sz1), static_cast<int>(sz2), time_spend);</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> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00241"></a><span class="lineno"><a class="line" href="svd_8cpp.html#ac6a2147f668545edb3bbb10e39fdba8e"> 241</a></span> <span class="keywordtype">int</span> <a class="code" href="svd_8cpp.html#ac6a2147f668545edb3bbb10e39fdba8e">test</a>(<a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> epsilon)</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> {</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> </div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  test_svd<ScalarType>(std::string(<span class="stringliteral">"../examples/testdata/svd/qr.example"</span>), epsilon);</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  test_svd<ScalarType>(std::string(<span class="stringliteral">"../examples/testdata/svd/wiki.example"</span>), epsilon);</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  test_svd<ScalarType>(std::string(<span class="stringliteral">"../examples/testdata/svd/wiki.qr.example"</span>), epsilon);</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  test_svd<ScalarType>(std::string(<span class="stringliteral">"../examples/testdata/svd/pysvd.example"</span>), epsilon);</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  test_svd<ScalarType>(std::string(<span class="stringliteral">"../examples/testdata/svd/random.example"</span>), epsilon);</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>  time_svd<ScalarType>(500, 500);</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  time_svd<ScalarType>(1024, 1024);</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  time_svd<ScalarType>(2048, 512);</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="comment">//time_svd<ScalarType>(2048, 2048);</span></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="comment">//time_svd(4096, 4096); //takes too long for a standard sanity test. Feel free to uncomment</span></div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span> }</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> <span class="comment">//</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> <span class="comment">// -------------------------------------------------------------</span></div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="comment">//</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"><a class="line" href="svd_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 262</a></span> <span class="keywordtype">int</span> <a class="code" href="svd_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>()</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>  std::cout << std::endl;</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  std::cout << <span class="stringliteral">"## Test :: Singular Value Decomposition"</span> << std::endl;</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  std::cout << std::endl;</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>  <span class="keywordtype">int</span> retval = EXIT_SUCCESS;</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> </div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  {</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keyword">typedef</span> <span class="keywordtype">float</span> <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>;</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  NumericT epsilon = <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(1.0E-4);</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  std::cout << <span class="stringliteral">"# Testing setup:"</span> << std::endl;</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  std::cout << <span class="stringliteral">" eps: "</span> << epsilon << std::endl;</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  std::cout << <span class="stringliteral">" numeric: float"</span> << std::endl;</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  retval = test<NumericT>(epsilon);</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="keywordflow">if</span> ( retval == EXIT_SUCCESS )</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  std::cout << <span class="stringliteral">"# Test passed"</span> << std::endl;</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keywordflow">return</span> retval;</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>  std::cout << std::endl;</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</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="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>  <span class="keyword">typedef</span> <span class="keywordtype">double</span> <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>;</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  NumericT epsilon = 1.0E-6; <span class="comment">//Note: higher accuracy not possible, because data only available with floating point precision</span></div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  std::cout << <span class="stringliteral">"# Testing setup:"</span> << std::endl;</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  std::cout << <span class="stringliteral">" eps: "</span> << epsilon << std::endl;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  std::cout << <span class="stringliteral">" numeric: double"</span> << std::endl;</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  retval = test<NumericT>(epsilon);</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="keywordflow">if</span> ( retval == EXIT_SUCCESS )</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  std::cout << <span class="stringliteral">"# Test passed"</span> << std::endl;</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keywordflow">return</span> retval;</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>  std::cout << std::endl;</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  std::cout << std::endl;</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> </div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  std::cout << <span class="stringliteral">"------- Test completed --------"</span> << std::endl;</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> </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>  <span class="keywordflow">return</span> retval;</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> }</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="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="svd_8cpp_html_aa3134c0eee84ed8ed638e749635c590f"><div class="ttname"><a href="svd_8cpp.html#aa3134c0eee84ed8ed638e749635c590f">read_vector_body</a></div><div class="ttdeci">void read_vector_body(std::fstream &f, std::vector< ScalarType > &v)</div><div class="ttdef"><b>Definition:</b> <a href="svd_8cpp_source.html#l00070">svd.cpp:70</a></div></div>
<div class="ttc" id="svd_8cpp_html_a29d0d0e3d49b688e2a74678af4ccb572"><div class="ttname"><a href="svd_8cpp.html#a29d0d0e3d49b688e2a74678af4ccb572">time_svd</a></div><div class="ttdeci">void time_svd(std::size_t sz1, std::size_t sz2)</div><div class="ttdef"><b>Definition:</b> <a href="svd_8cpp_source.html#l00219">svd.cpp:219</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a7f1b176eaa22875c3dc04750498616a1"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a7f1b176eaa22875c3dc04750498616a1">viennacl::matrix_base< NumericT >::internal_size</a></div><div class="ttdeci">size_type internal_size() const</div><div class="ttdoc">Returns the total amount of allocated memory in multiples of sizeof(NumericT) </div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00242">matrix_def.hpp:242</a></div></div>
<div class="ttc" id="blas3__solve_8cpp_html_ad8f94754a20a0c6dc74fd3cb5eb675b3"><div class="ttname"><a href="blas3__solve_8cpp.html#ad8f94754a20a0c6dc74fd3cb5eb675b3">trans</a></div><div class="ttdeci">std::vector< std::vector< NumericT > > trans(std::vector< std::vector< NumericT > > const &A)</div><div class="ttdef"><b>Definition:</b> <a href="blas3__solve_8cpp_source.html#l00195">blas3_solve.cpp:195</a></div></div>
<div class="ttc" id="svd_8cpp_html_a84786406ff1d6a07477969c2cc565a1e"><div class="ttname"><a href="svd_8cpp.html#a84786406ff1d6a07477969c2cc565a1e">read_matrix_body</a></div><div class="ttdeci">void read_matrix_body(std::fstream &f, viennacl::matrix< ScalarType > &A)</div><div class="ttdef"><b>Definition:</b> <a href="svd_8cpp_source.html#l00048">svd.cpp:48</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="matrix_8hpp_html"><div class="ttname"><a href="matrix_8hpp.html">matrix.hpp</a></div><div class="ttdoc">Implementation of the dense matrix class. </div></div>
<div class="ttc" id="svd_8cpp_html_ae2464a615260c9fe4d20cd6c8027fb73"><div class="ttname"><a href="svd_8cpp.html#ae2464a615260c9fe4d20cd6c8027fb73">random_fill</a></div><div class="ttdeci">void random_fill(std::vector< ScalarType > &in)</div><div class="ttdef"><b>Definition:</b> <a href="svd_8cpp_source.html#l00085">svd.cpp:85</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="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="namespaceviennacl_1_1linalg_html_a7dd4119fc5dfef5c067af3b46bd86191"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a7dd4119fc5dfef5c067af3b46bd86191">viennacl::linalg::svd</a></div><div class="ttdeci">void svd(viennacl::matrix< SCALARTYPE, row_major, ALIGNMENT > &A, viennacl::matrix< SCALARTYPE, row_major, ALIGNMENT > &QL, viennacl::matrix< SCALARTYPE, row_major, ALIGNMENT > &QR)</div><div class="ttdoc">Computes the singular value decomposition of a matrix A. Experimental in 1.3.x. </div><div class="ttdef"><b>Definition:</b> <a href="svd_8hpp_source.html#l00492">svd.hpp:492</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="svd_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="svd_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> <a href="svd_8cpp_source.html#l00262">svd.cpp:262</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_aa18d10f8a90e38bd9ff43c650fc670ef"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a></div><div class="ttdeci">VectorT prod(std::vector< std::vector< T, A1 >, A2 > const &matrix, VectorT const &vector)</div><div class="ttdef"><b>Definition:</b> <a href="prod_8hpp_source.html#l00102">prod.hpp:102</a></div></div>
<div class="ttc" id="svd_8cpp_html_a2e9a63cee87f5dd2bf49ca31c7415100"><div class="ttname"><a href="svd_8cpp.html#a2e9a63cee87f5dd2bf49ca31c7415100">sigmas_compare</a></div><div class="ttdeci">ScalarType sigmas_compare(viennacl::matrix< ScalarType > &res, std::vector< ScalarType > &ref)</div><div class="ttdef"><b>Definition:</b> <a href="svd_8cpp_source.html#l00140">svd.cpp:140</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="svd_8hpp_html"><div class="ttname"><a href="svd_8hpp.html">svd.hpp</a></div><div class="ttdoc">Provides singular value decomposition using a block-based approach. Experimental. ...</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="svd_8cpp_html_adb86a37c6f0f7ed9c35c711f2baec667"><div class="ttname"><a href="svd_8cpp.html#adb86a37c6f0f7ed9c35c711f2baec667">test_svd</a></div><div class="ttdeci">void test_svd(const std::string &fn, ScalarType EPS)</div><div class="ttdef"><b>Definition:</b> <a href="svd_8cpp_source.html#l00164">svd.cpp:164</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="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="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="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="svd_8cpp_html_ac6a2147f668545edb3bbb10e39fdba8e"><div class="ttname"><a href="svd_8cpp.html#ac6a2147f668545edb3bbb10e39fdba8e">test</a></div><div class="ttdeci">int test(ScalarType epsilon)</div><div class="ttdef"><b>Definition:</b> <a href="svd_8cpp_source.html#l00241">svd.cpp:241</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="svd_8cpp_html_ae596b77621e62df40ba4f4754a80de30"><div class="ttname"><a href="svd_8cpp.html#ae596b77621e62df40ba4f4754a80de30">read_matrix_size</a></div><div class="ttdeci">void read_matrix_size(std::fstream &f, std::size_t &sz1, std::size_t &sz2)</div><div class="ttdef"><b>Definition:</b> <a href="svd_8cpp_source.html#l00038">svd.cpp:38</a></div></div>
<div class="ttc" id="svd_8cpp_html_a6e1ecb547a227b6e7c06c445339a97eb"><div class="ttname"><a href="svd_8cpp.html#a6e1ecb547a227b6e7c06c445339a97eb">check_bidiag</a></div><div class="ttdeci">bool check_bidiag(viennacl::matrix< ScalarType > &A)</div><div class="ttdef"><b>Definition:</b> <a href="svd_8cpp_source.html#l00093">svd.cpp:93</a></div></div>
<div class="ttc" id="svd_8cpp_html_a808807ac9ef66cfb0517671cf51b33be"><div class="ttname"><a href="svd_8cpp.html#a808807ac9ef66cfb0517671cf51b33be">matrix_compare</a></div><div class="ttdeci">ScalarType matrix_compare(viennacl::matrix< ScalarType > &res, viennacl::matrix< ScalarType > &ref)</div><div class="ttdef"><b>Definition:</b> <a href="svd_8cpp_source.html#l00117">svd.cpp:117</a></div></div>
<div class="ttc" id="namespaceviennacl_html_aaa5c8726b45bc89a523ca2fa8c42107a"><div class="ttname"><a href="namespaceviennacl.html#aaa5c8726b45bc89a523ca2fa8c42107a">viennacl::fast_copy</a></div><div class="ttdeci">void fast_copy(const const_vector_iterator< SCALARTYPE, ALIGNMENT > &gpu_begin, const const_vector_iterator< SCALARTYPE, ALIGNMENT > &gpu_end, CPU_ITERATOR cpu_begin)</div></div>
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