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<div class="title">structured-matrices.cpp</div> </div>
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<a href="tests_2src_2structured-matrices_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 <iostream></span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <cmath></span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <complex></span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <fstream></span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">//#define VIENNACL_BUILD_INFO</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="comment">//#define VIENNACL_DEBUG_ALL</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="toeplitz__matrix_8hpp.html">viennacl/toeplitz_matrix.hpp</a>"</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="circulant__matrix_8hpp.html">viennacl/circulant_matrix.hpp</a>"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "<a class="code" href="vandermonde__matrix_8hpp.html">viennacl/vandermonde_matrix.hpp</a>"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "<a class="code" href="hankel__matrix_8hpp.html">viennacl/hankel_matrix.hpp</a>"</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></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="preprocessor">#include "<a class="code" href="fft_8hpp.html">viennacl/fft.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="comment">//</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// A simple dense matrix class (in order to avoid an unnecessary boost dependency)</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">//</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="keyword">template</span><<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="classdense__matrix.html"> 46</a></span> <span class="keyword">class </span><a class="code" href="classdense__matrix.html">dense_matrix</a></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> {</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="classdense__matrix.html#a9b6d76a53f8933204661cd7fefad20cd"> 49</a></span>  <span class="keyword">typedef</span> std::size_t <a class="code" href="classdense__matrix.html#a9b6d76a53f8933204661cd7fefad20cd">size_type</a>;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> </div>
<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="classdense__matrix.html#aaed98b7c8aed273dca0e6eea9712398c"> 51</a></span>  <a class="code" href="classdense__matrix.html#aaed98b7c8aed273dca0e6eea9712398c">dense_matrix</a>(std::size_t rows, std::size_t cols) : elements_(rows * cols), rows_(rows), cols_(cols) {}</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="classdense__matrix.html#abff4edb4f79fe4dc40f2c3d50da01960"> 53</a></span>  T & <a class="code" href="classdense__matrix.html#abff4edb4f79fe4dc40f2c3d50da01960">operator()</a>(std::size_t i, std::size_t j) { <span class="keywordflow">return</span> elements_[i*cols_ + j]; }</div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="classdense__matrix.html#a875f4fff972d1f712df11fd3b1c3a36d"> 54</a></span>  T <span class="keyword">const</span> & <a class="code" href="classdense__matrix.html#a875f4fff972d1f712df11fd3b1c3a36d">operator()</a>(std::size_t i, std::size_t j)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> elements_[i*cols_ + j]; }</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="classdense__matrix.html#afa84b98faa785dd51fdb4f8a5da39a8d"> 56</a></span>  std::size_t <a class="code" href="classdense__matrix.html#afa84b98faa785dd51fdb4f8a5da39a8d">size1</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> rows_; }</div>
<div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="classdense__matrix.html#ab1a44950ef5e5d4a684c22657af8f726"> 57</a></span>  std::size_t <a class="code" href="classdense__matrix.html#ab1a44950ef5e5d4a684c22657af8f726">size2</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> cols_; }</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="classdense__matrix.html#a6f6e659c7cb58d550480bdbbaa2463a8"> 59</a></span>  <a class="code" href="classdense__matrix.html">dense_matrix</a> & <a class="code" href="classdense__matrix.html#a6f6e659c7cb58d550480bdbbaa2463a8">operator+=</a>(<a class="code" href="classdense__matrix.html">dense_matrix</a> <span class="keyword">const</span> & other)</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">for</span> (std::size_t i = 0; i < other.<a class="code" href="classdense__matrix.html#afa84b98faa785dd51fdb4f8a5da39a8d">size1</a>(); i++)</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < other.<a class="code" href="classdense__matrix.html#ab1a44950ef5e5d4a684c22657af8f726">size2</a>(); j++)</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  elements_[i*cols_ + j] = other.elements_[i*cols_+j];</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  std::vector<T> elements_;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  std::size_t rows_;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  std::size_t cols_;</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> </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="keyword">template</span><<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="tests_2src_2structured-matrices_8cpp.html#ab92d3f00b304a761998eb499f5f7bb46"> 74</a></span> std::ostream & operator<<(std::ostream & os, dense_matrix<T> <span class="keyword">const</span> & mat)</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>  std::cout << <span class="stringliteral">"["</span> << mat.size1() << <span class="stringliteral">","</span> << mat.size2() << <span class="stringliteral">"]("</span>;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">for</span> (std::size_t i=0; i<mat.size1(); ++i)</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  std::cout << <span class="stringliteral">"("</span>;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">for</span> (std::size_t j=0; j<mat.size2(); ++j)</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  std::cout << mat(i,j) << <span class="stringliteral">","</span>;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  std::cout << <span class="stringliteral">")"</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> </div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">return</span> os;</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> </div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00090"></a><span class="lineno"><a class="line" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1"> 90</a></span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> <a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(<a class="code" href="classdense__matrix.html">dense_matrix<ScalarType></a> <span class="keyword">const</span> & <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, <a class="code" href="classdense__matrix.html">dense_matrix<ScalarType></a> <span class="keyword">const</span> & m2)</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>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> df = 0.0;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> d1 = 0;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> d2 = 0;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < m1.<a class="code" href="classdense__matrix.html#afa84b98faa785dd51fdb4f8a5da39a8d">size1</a>(); i++)</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < m1.<a class="code" href="classdense__matrix.html#ab1a44950ef5e5d4a684c22657af8f726">size2</a>(); j++)</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  {</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  df += (<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) - m2(i,j)) * (<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) - m2(i,j));</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  d1 += <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) * <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  d2 += m2(i,j) * m2(i,j);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  }</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>  <span class="keywordflow">if</span> ( d1 + d2 <= 0 )</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">return</span> std::sqrt(df / std::max<ScalarType>(d1, d2));</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> }</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> </div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="tests_2src_2structured-matrices_8cpp.html#a3042870eb8881681860b088156ccf079"> 112</a></span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> <a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(std::vector<ScalarType>& vec, std::vector<ScalarType>& ref)</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> {</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> df = 0.0;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> norm_ref = 0;</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> (std::size_t i = 0; i < vec.size(); i++)</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  {</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  df = df + pow(vec[i] - ref[i], 2);</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  norm_ref += ref[i] * ref[i];</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="keywordflow">return</span> std::sqrt(df / norm_ref);</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> }</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> </div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00127"></a><span class="lineno"><a class="line" href="tests_2src_2structured-matrices_8cpp.html#aadad85fa5cbf31466487bb0585d1a769"> 127</a></span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> <a class="code" href="tests_2src_2structured-matrices_8cpp.html#aadad85fa5cbf31466487bb0585d1a769">diff_max</a>(std::vector<ScalarType>& vec, std::vector<ScalarType>& ref)</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>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> df = 0.0;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> mx = 0.0;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> norm_max = 0;</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < vec.size(); i++)</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>  df = std::max<ScalarType>(std::fabs(vec[i] - ref[i]), df);</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  mx = std::max<ScalarType>(std::fabs(vec[i]), mx);</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>  <span class="keywordflow">if</span> (mx > 0)</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  {</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordflow">if</span> (norm_max < df / mx)</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  norm_max = df / mx;</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> </div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">return</span> norm_max;</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> </div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00150"></a><span class="lineno"><a class="line" href="tests_2src_2structured-matrices_8cpp.html#a9da71d9f01f41f9a08954fc15b2a655c"> 150</a></span> <span class="keywordtype">void</span> <a class="code" href="tests_2src_2structured-matrices_8cpp.html#a9da71d9f01f41f9a08954fc15b2a655c">transpose_test</a>()</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="keywordtype">int</span> w = 5, h = 7;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  std::vector<ScalarType> s_normal(2 * w * h);</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> normal(w, 2 * h);</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> transp(h, 2 * w);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < s_normal.size(); i+=2) {</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  s_normal[i] = i;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  s_normal[i+1] = i;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  }</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <a class="code" href="namespaceviennacl.html#aaa5c8726b45bc89a523ca2fa8c42107a">viennacl::fast_copy</a>(&s_normal[0], &s_normal[0] + s_normal.size(), normal);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  std::cout << normal << std::endl;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ae829451e793471ca5e8751cf89fec950">viennacl::linalg::transpose</a>(normal);</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  std::cout << normal << std::endl;</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> </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> </div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00170"></a><span class="lineno"><a class="line" href="tests_2src_2structured-matrices_8cpp.html#ac0e8e0cdd79549fd363949f10e66a1b4"> 170</a></span> <span class="keywordtype">int</span> <a class="code" href="tests_2src_2structured-matrices_8cpp.html#ac0e8e0cdd79549fd363949f10e66a1b4">toeplitz_test</a>(<a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> epsilon)</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> {</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  std::size_t TOEPLITZ_SIZE = 47;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <a class="code" href="classviennacl_1_1toeplitz__matrix.html">viennacl::toeplitz_matrix<ScalarType></a> vcl_toeplitz1(TOEPLITZ_SIZE, TOEPLITZ_SIZE);</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <a class="code" href="classviennacl_1_1toeplitz__matrix.html">viennacl::toeplitz_matrix<ScalarType></a> vcl_toeplitz2(TOEPLITZ_SIZE, TOEPLITZ_SIZE);</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> </div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> vcl_input(TOEPLITZ_SIZE);</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> vcl_result(TOEPLITZ_SIZE);</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::vector<ScalarType> input_ref(TOEPLITZ_SIZE);</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  std::vector<ScalarType> result_ref(TOEPLITZ_SIZE);</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>  <a class="code" href="classdense__matrix.html">dense_matrix<ScalarType></a> <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(TOEPLITZ_SIZE, TOEPLITZ_SIZE);</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <a class="code" href="classdense__matrix.html">dense_matrix<ScalarType></a> m2(TOEPLITZ_SIZE, TOEPLITZ_SIZE);</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> </div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < TOEPLITZ_SIZE; i++)</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < TOEPLITZ_SIZE; j++)</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  {</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) = <span class="keyword">static_cast<</span><a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a><span class="keyword">></span>(i) - static_cast<ScalarType>(j);</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  m2(i,j) = <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) * <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) + <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(1);</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> </div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < TOEPLITZ_SIZE; i++)</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  input_ref[i] = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i);</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="comment">// Copy to ViennaCL</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(m1, vcl_toeplitz1);</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(m2, vcl_toeplitz2);</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(input_ref, vcl_input);</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="comment">//</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="comment">// Matrix-Vector product:</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  vcl_result = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(vcl_toeplitz1, vcl_input);</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>  <span class="keywordflow">for</span> (std::size_t i = 0; i < m1.<a class="code" href="classdense__matrix.html#afa84b98faa785dd51fdb4f8a5da39a8d">size1</a>(); i++) <span class="comment">//reference calculation</span></div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  {</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> entry = 0;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < m1.<a class="code" href="classdense__matrix.html#ab1a44950ef5e5d4a684c22657af8f726">size2</a>(); j++)</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  entry += <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) * input_ref[j];</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> </div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  result_ref[i] = entry;</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> </div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_result, input_ref);</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  std::cout << <span class="stringliteral">"Matrix-Vector Product: "</span> << <a class="code" href="tests_2src_2structured-matrices_8cpp.html#aadad85fa5cbf31466487bb0585d1a769">diff_max</a>(input_ref, result_ref);</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keywordflow">if</span> (<a class="code" href="tests_2src_2structured-matrices_8cpp.html#aadad85fa5cbf31466487bb0585d1a769">diff_max</a>(input_ref, result_ref) < epsilon)</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  std::cout << <span class="stringliteral">" [OK]"</span> << std::endl;</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordflow">else</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>  <span class="keywordflow">for</span> (std::size_t i=0; i<input_ref.size(); ++i)</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  std::cout << <span class="stringliteral">"Should: "</span> << result_ref[i] << <span class="stringliteral">", is: "</span> << input_ref[i] << std::endl;</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  std::cout << <span class="stringliteral">" [FAILED]"</span> << std::endl;</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  }</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>  <span class="comment">//</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="comment">// Matrix addition:</span></div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  vcl_toeplitz1 += vcl_toeplitz2;</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 < m1.<a class="code" href="classdense__matrix.html#afa84b98faa785dd51fdb4f8a5da39a8d">size1</a>(); i++) <span class="comment">//reference calculation</span></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < m1.<a class="code" href="classdense__matrix.html#ab1a44950ef5e5d4a684c22657af8f726">size2</a>(); j++)</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) += m2(i,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>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_toeplitz1, m2);</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  std::cout << <span class="stringliteral">"Matrix Addition: "</span> << <a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(m1, m2);</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keywordflow">if</span> (<a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(m1, m2) < epsilon)</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  std::cout << <span class="stringliteral">" [OK]"</span> << std::endl;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keywordflow">else</span></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>  std::cout << <span class="stringliteral">" [FAILED]"</span> << std::endl;</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</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> </div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="comment">// Per-Element access:</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  vcl_toeplitz1(2,4) = 42;</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> </div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">for</span> (std::size_t i=0; i<m1.<a class="code" href="classdense__matrix.html#afa84b98faa785dd51fdb4f8a5da39a8d">size1</a>(); ++i) <span class="comment">//reference calculation</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="keywordflow">if</span> (i + 2 < m1.<a class="code" href="classdense__matrix.html#ab1a44950ef5e5d4a684c22657af8f726">size2</a>())</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i, i+2) = 42;</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> </div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_toeplitz1, m2);</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  std::cout << <span class="stringliteral">"Element manipulation: "</span> << <a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(m1, m2);</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">if</span> (<a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(m1, m2) < epsilon)</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  std::cout << <span class="stringliteral">" [OK]"</span> << std::endl;</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  {</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  std::cout << <span class="stringliteral">" [FAILED]"</span> << std::endl;</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  }</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> </div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="keywordflow">return</span> EXIT_SUCCESS;</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> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00271"></a><span class="lineno"><a class="line" href="tests_2src_2structured-matrices_8cpp.html#a0e28bd6526e1b7c613a4404844843da8"> 271</a></span> <span class="keywordtype">int</span> <a class="code" href="tests_2src_2structured-matrices_8cpp.html#a0e28bd6526e1b7c613a4404844843da8">circulant_test</a>(<a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> epsilon)</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>  std::size_t CIRCULANT_SIZE = 53;</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <a class="code" href="classviennacl_1_1circulant__matrix.html">viennacl::circulant_matrix<ScalarType></a> vcl_circulant1(CIRCULANT_SIZE, CIRCULANT_SIZE);</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <a class="code" href="classviennacl_1_1circulant__matrix.html">viennacl::circulant_matrix<ScalarType></a> vcl_circulant2(CIRCULANT_SIZE, CIRCULANT_SIZE);</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> </div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> vcl_input(CIRCULANT_SIZE);</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> vcl_result(CIRCULANT_SIZE);</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>  std::vector<ScalarType> input_ref(CIRCULANT_SIZE);</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  std::vector<ScalarType> result_ref(CIRCULANT_SIZE);</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <a class="code" href="classdense__matrix.html">dense_matrix<ScalarType></a> <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(vcl_circulant1.<a class="code" href="classviennacl_1_1circulant__matrix.html#a9f7b8f263f9e14811967a2cae99b09c3">size1</a>(), vcl_circulant1.<a class="code" href="classviennacl_1_1circulant__matrix.html#a5d540965cf140ba66b2bc33754be00f0">size2</a>());</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <a class="code" href="classdense__matrix.html">dense_matrix<ScalarType></a> m2(vcl_circulant1.<a class="code" href="classviennacl_1_1circulant__matrix.html#a9f7b8f263f9e14811967a2cae99b09c3">size1</a>(), vcl_circulant1.<a class="code" href="classviennacl_1_1circulant__matrix.html#a5d540965cf140ba66b2bc33754be00f0">size2</a>());</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>  <span class="keywordflow">for</span> (std::size_t i = 0; i < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1(); i++)</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size2(); j++)</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>  <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) = <span class="keyword">static_cast<</span><a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a><span class="keyword">></span>((i - j + <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1()) % <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1());</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  m2(i,j) = <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) * <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) + <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(1);</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  }</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>  <span class="keywordflow">for</span> (std::size_t i = 0; i < input_ref.size(); i++)</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  input_ref[i] = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i);</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="comment">// Copy to ViennaCL</span></div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, vcl_circulant1);</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(m2, vcl_circulant2);</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(input_ref, vcl_input);</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>  <span class="comment">//</span></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="comment">// Matrix-Vector product:</span></div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  vcl_result = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(vcl_circulant1, vcl_input);</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> </div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1(); i++) <span class="comment">//reference calculation</span></div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  {</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> entry = 0;</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size2(); j++)</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  entry += <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) * input_ref[j];</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>  result_ref[i] = entry;</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  }</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>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_result, input_ref);</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  std::cout << <span class="stringliteral">"Matrix-Vector Product: "</span> << <a class="code" href="tests_2src_2structured-matrices_8cpp.html#aadad85fa5cbf31466487bb0585d1a769">diff_max</a>(input_ref, result_ref);</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <span class="keywordflow">if</span> (<a class="code" href="tests_2src_2structured-matrices_8cpp.html#aadad85fa5cbf31466487bb0585d1a769">diff_max</a>(input_ref, result_ref) < epsilon)</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  std::cout << <span class="stringliteral">" [OK]"</span> << std::endl;</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  {</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keywordflow">for</span> (std::size_t i=0; i<input_ref.size(); ++i)</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  std::cout << <span class="stringliteral">"Should: "</span> << result_ref[i] << <span class="stringliteral">", is: "</span> << input_ref[i] << std::endl;</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  std::cout << <span class="stringliteral">" [FAILED]"</span> << std::endl;</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  }</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> </div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span> </div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="comment">// Matrix addition:</span></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  vcl_circulant1 += vcl_circulant2;</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span> </div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1(); i++) <span class="comment">//reference calculation</span></div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size2(); j++)</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) += m2(i,j);</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span> </div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_circulant1, m2);</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  std::cout << <span class="stringliteral">"Matrix Addition: "</span> << <a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, m2);</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="keywordflow">if</span> (<a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, m2) < epsilon)</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  std::cout << <span class="stringliteral">" [OK]"</span> << std::endl;</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="keywordflow">else</span></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>  std::cout << <span class="stringliteral">" [FAILED]"</span> << std::endl;</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  }</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span> </div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <span class="comment">// Per-Element access:</span></div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  vcl_circulant1(4,2) = 42;</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">for</span> (std::size_t i = 0; i < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1(); i++) <span class="comment">//reference calculation</span></div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size2(); j++)</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  {</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <span class="keywordflow">if</span> ((i - j + <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1()) % <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1() == 2)</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i, j) = 42;</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  }</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span> </div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_circulant1, m2);</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  std::cout << <span class="stringliteral">"Element manipulation: "</span> << <a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, m2);</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <span class="keywordflow">if</span> (<a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, m2) < epsilon)</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  std::cout << <span class="stringliteral">" [OK]"</span> << std::endl;</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  {</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  std::cout << <span class="stringliteral">" [FAILED]"</span> << std::endl;</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  }</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> </div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span> }</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span> </div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00373"></a><span class="lineno"><a class="line" href="tests_2src_2structured-matrices_8cpp.html#ad1c912fb25a41391411c00de85a1ebeb"> 373</a></span> <span class="keywordtype">int</span> <a class="code" href="tests_2src_2structured-matrices_8cpp.html#ad1c912fb25a41391411c00de85a1ebeb">vandermonde_test</a>(<a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> epsilon)</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span> {</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  std::size_t VANDERMONDE_SIZE = 61;</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> </div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  <a class="code" href="classviennacl_1_1vandermonde__matrix.html">viennacl::vandermonde_matrix<ScalarType></a> vcl_vandermonde1(VANDERMONDE_SIZE, VANDERMONDE_SIZE);</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <a class="code" href="classviennacl_1_1vandermonde__matrix.html">viennacl::vandermonde_matrix<ScalarType></a> vcl_vandermonde2(VANDERMONDE_SIZE, VANDERMONDE_SIZE);</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> </div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> vcl_input(VANDERMONDE_SIZE);</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> vcl_result(VANDERMONDE_SIZE);</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span> </div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  std::vector<ScalarType> input_ref(VANDERMONDE_SIZE);</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  std::vector<ScalarType> result_ref(VANDERMONDE_SIZE);</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>  <a class="code" href="classdense__matrix.html">dense_matrix<ScalarType></a> <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(vcl_vandermonde1.<a class="code" href="classviennacl_1_1vandermonde__matrix.html#acc23bc5cfe84e53e8eb8293b964683a8">size1</a>(), vcl_vandermonde1.<a class="code" href="classviennacl_1_1vandermonde__matrix.html#a6b3eadef03c3a238fd1ec8e62b176926">size2</a>());</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <a class="code" href="classdense__matrix.html">dense_matrix<ScalarType></a> m2(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1(), <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size2());</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span> </div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1(); i++)</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size2(); j++)</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  {</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) = std::pow(<a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(1.0) + <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i)/<a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(1000.0), <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(j));</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  m2(i,j) = std::pow(<a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(1.0) - <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i)/<a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(2000.0), <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(j));</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> </div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < input_ref.size(); i++)</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  input_ref[i] = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i);</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span> </div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <span class="comment">// Copy to ViennaCL</span></div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, vcl_vandermonde1);</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(m2, vcl_vandermonde2);</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(input_ref, vcl_input);</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>  <span class="comment">//</span></div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <span class="comment">// Matrix-Vector product:</span></div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  vcl_result = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(vcl_vandermonde1, vcl_input);</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span> </div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1(); i++) <span class="comment">//reference calculation</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>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> entry = 0;</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size2(); j++)</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  entry += <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) * input_ref[j];</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span> </div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  result_ref[i] = entry;</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  }</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span> </div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_result, input_ref);</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  std::cout << <span class="stringliteral">"Matrix-Vector Product: "</span> << <a class="code" href="tests_2src_2structured-matrices_8cpp.html#aadad85fa5cbf31466487bb0585d1a769">diff_max</a>(input_ref, result_ref);</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  <span class="keywordflow">if</span> (<a class="code" href="tests_2src_2structured-matrices_8cpp.html#aadad85fa5cbf31466487bb0585d1a769">diff_max</a>(input_ref, result_ref) < epsilon)</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  std::cout << <span class="stringliteral">" [OK]"</span> << std::endl;</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  {</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  <span class="keywordflow">for</span> (std::size_t i=0; i<input_ref.size(); ++i)</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  std::cout << <span class="stringliteral">"Should: "</span> << result_ref[i] << <span class="stringliteral">", is: "</span> << input_ref[i] << std::endl;</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  std::cout << <span class="stringliteral">" [FAILED]"</span> << std::endl;</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  }</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> </div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span> </div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  <span class="comment">// Note: Matrix addition does not make sense for a Vandermonde matrix</span></div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span> </div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span> </div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  <span class="comment">// Per-Element access:</span></div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  vcl_vandermonde1(4) = <span class="keyword">static_cast<</span><a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a><span class="keyword">></span>(1.0001);</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span> </div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size2(); j++)</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  {</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(4, j) = std::pow(<a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(1.0001), <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(j));</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  }</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span> </div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_vandermonde1, m2);</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  std::cout << <span class="stringliteral">"Element manipulation: "</span> << <a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, m2);</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  <span class="keywordflow">if</span> (<a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, m2) < epsilon)</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  std::cout << <span class="stringliteral">" [OK]"</span> << std::endl;</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  {</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  std::cout << <span class="stringliteral">" [FAILED]"</span> << std::endl;</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  }</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span> </div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span> }</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span> </div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType></div>
<div class="line"><a name="l00460"></a><span class="lineno"><a class="line" href="tests_2src_2structured-matrices_8cpp.html#a1c636bc9529b33fa277877d0ebe9a2b2"> 460</a></span> <span class="keywordtype">int</span> <a class="code" href="tests_2src_2structured-matrices_8cpp.html#a1c636bc9529b33fa277877d0ebe9a2b2">hankel_test</a>(<a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> epsilon)</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span> {</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  std::size_t HANKEL_SIZE = 7;</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <a class="code" href="classviennacl_1_1hankel__matrix.html">viennacl::hankel_matrix<ScalarType></a> vcl_hankel1(HANKEL_SIZE, HANKEL_SIZE);</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <a class="code" href="classviennacl_1_1hankel__matrix.html">viennacl::hankel_matrix<ScalarType></a> vcl_hankel2(HANKEL_SIZE, HANKEL_SIZE);</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span> </div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> vcl_input(HANKEL_SIZE);</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> vcl_result(HANKEL_SIZE);</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span> </div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  std::vector<ScalarType> input_ref(HANKEL_SIZE);</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  std::vector<ScalarType> result_ref(HANKEL_SIZE);</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span> </div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  <a class="code" href="classdense__matrix.html">dense_matrix<ScalarType></a> <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(vcl_hankel1.<a class="code" href="classviennacl_1_1hankel__matrix.html#ae1fe055fd4987e7ccc9585eaa169ebb6">size1</a>(), vcl_hankel1.<a class="code" href="classviennacl_1_1hankel__matrix.html#a2965b9cc1428525b503791ff404ac2f1">size2</a>());</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  <a class="code" href="classdense__matrix.html">dense_matrix<ScalarType></a> m2(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1(), <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size2());</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span> </div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1(); i++)</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size2(); j++)</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  {</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) = <span class="keyword">static_cast<</span><a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a><span class="keyword">></span>((i + j) % (2 * <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1()));</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  m2(i,j) = <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) * <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) + <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(1);</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  }</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span> </div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < input_ref.size(); i++)</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  input_ref[i] = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i);</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span> </div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  <span class="comment">// Copy to ViennaCL</span></div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, vcl_hankel1);</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(m2, vcl_hankel2);</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(input_ref, vcl_input);</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span> </div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  <span class="comment">// Matrix-Vector product:</span></div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  vcl_result = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(vcl_hankel1, vcl_input);</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span> </div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1(); i++) <span class="comment">//reference calculation</span></div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  {</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a> entry = 0;</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size2(); j++)</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  entry += <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) * input_ref[j];</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span> </div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  result_ref[i] = entry;</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  }</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span> </div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_result, input_ref);</div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  std::cout << <span class="stringliteral">"Matrix-Vector Product: "</span> << <a class="code" href="tests_2src_2structured-matrices_8cpp.html#aadad85fa5cbf31466487bb0585d1a769">diff_max</a>(input_ref, result_ref);</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  <span class="keywordflow">if</span> (<a class="code" href="tests_2src_2structured-matrices_8cpp.html#aadad85fa5cbf31466487bb0585d1a769">diff_max</a>(input_ref, result_ref) < epsilon)</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  std::cout << <span class="stringliteral">" [OK]"</span> << std::endl;</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  {</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  <span class="keywordflow">for</span> (std::size_t i=0; i<input_ref.size(); ++i)</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  std::cout << <span class="stringliteral">"Should: "</span> << result_ref[i] << <span class="stringliteral">", is: "</span> << input_ref[i] << std::endl;</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  std::cout << <span class="stringliteral">" [FAILED]"</span> << std::endl;</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  }</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span> </div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span> </div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <span class="comment">// Matrix addition:</span></div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  vcl_hankel1 += vcl_hankel2;</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span> </div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1(); i++) <span class="comment">//reference calculation</span></div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size2(); j++)</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i,j) += m2(i,j);</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span> </div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_hankel1, m2);</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  std::cout << <span class="stringliteral">"Matrix Addition: "</span> << <a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, m2);</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  <span class="keywordflow">if</span> (<a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, m2) < epsilon)</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  std::cout << <span class="stringliteral">" [OK]"</span> << std::endl;</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  {</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  std::cout << <span class="stringliteral">" [FAILED]"</span> << std::endl;</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  }</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span> </div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  <span class="comment">// Per-Element access:</span></div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  vcl_hankel1(4,2) = 42;</div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span> </div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1(); i++) <span class="comment">//reference calculation</span></div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size2(); j++)</div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  {</div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  <span class="keywordflow">if</span> ((i + j) % (2*<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>.size1()) == 6)</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  <a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>(i, j) = 42;</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  }</div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span> </div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_hankel1, m2);</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  std::cout << <span class="stringliteral">"Element manipulation: "</span> << <a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, m2);</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  <span class="keywordflow">if</span> (<a class="code" href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a>(<a class="code" href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a>, m2) < epsilon)</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  std::cout << <span class="stringliteral">" [OK]"</span> << std::endl;</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  {</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  std::cout << <span class="stringliteral">" [FAILED]"</span> << std::endl;</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  }</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span> </div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span> }</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span> </div>
<div class="line"><a name="l00561"></a><span class="lineno"><a class="line" href="tests_2src_2structured-matrices_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 561</a></span> <span class="keywordtype">int</span> <a class="code" href="tests_2src_2structured-matrices_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>()</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span> {</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  std::cout << <span class="stringliteral">"## Test :: Structured Matrices"</span> << std::endl;</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  std::cout << <span class="stringliteral">"----------------------------------------------"</span> << std::endl;</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span> </div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  <span class="keywordtype">double</span> eps = 1e-3;</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span> </div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  std::cout << <span class="stringliteral">"# Testing setup:"</span> << std::endl;</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  std::cout << <span class="stringliteral">" eps: "</span> << eps << std::endl;</div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  std::cout << <span class="stringliteral">" numeric: float"</span> << std::endl;</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  std::cout << <span class="stringliteral">" -- Vandermonde matrix -- "</span> << std::endl;</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  <span class="keywordflow">if</span> (vandermonde_test<float>(static_cast<float>(eps)) == EXIT_FAILURE)</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span> </div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  std::cout << <span class="stringliteral">" -- Circulant matrix -- "</span> << std::endl;</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  <span class="keywordflow">if</span> (circulant_test<float>(static_cast<float>(eps)) == EXIT_FAILURE)</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span> </div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  std::cout << <span class="stringliteral">" -- Toeplitz matrix -- "</span> << std::endl;</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  <span class="keywordflow">if</span> (toeplitz_test<float>(static_cast<float>(eps)) == EXIT_FAILURE)</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span> </div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  std::cout << <span class="stringliteral">" -- Hankel matrix -- "</span> << std::endl;</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  <span class="keywordflow">if</span> (hankel_test<float>(static_cast<float>(eps)) == EXIT_FAILURE)</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span> </div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span> </div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span> </div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  <span class="keywordflow">if</span> ( <a class="code" href="namespaceviennacl_1_1ocl.html#ac54d59a74deaccec81f64e738b856348">viennacl::ocl::current_device</a>().double_support() )</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  {</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  eps = 1e-10;</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span> </div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  std::cout << <span class="stringliteral">"# Testing setup:"</span> << std::endl;</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  std::cout << <span class="stringliteral">" eps: "</span> << eps << std::endl;</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  std::cout << <span class="stringliteral">" numeric: double"</span> << std::endl;</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span> </div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  std::cout << <span class="stringliteral">" -- Vandermonde matrix -- "</span> << std::endl;</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  <span class="keywordflow">if</span> (vandermonde_test<double>(eps) == EXIT_FAILURE)</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span> </div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  std::cout << <span class="stringliteral">" -- Circulant matrix -- "</span> << std::endl;</div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  <span class="keywordflow">if</span> (circulant_test<double>(eps) == EXIT_FAILURE)</div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span> </div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  std::cout << <span class="stringliteral">" -- Toeplitz matrix -- "</span> << std::endl;</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  <span class="keywordflow">if</span> (toeplitz_test<double>(eps) == EXIT_FAILURE)</div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span> </div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  std::cout << <span class="stringliteral">" -- Hankel matrix -- "</span> << std::endl;</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  <span class="keywordflow">if</span> (hankel_test<double>(eps) == EXIT_FAILURE)</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  }</div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span> </div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  std::cout << <span class="stringliteral">"------- Test completed --------"</span> << std::endl;</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  std::cout << std::endl;</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span> </div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span> </div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span> }</div>
<div class="ttc" id="classdense__matrix_html_aaed98b7c8aed273dca0e6eea9712398c"><div class="ttname"><a href="classdense__matrix.html#aaed98b7c8aed273dca0e6eea9712398c">dense_matrix::dense_matrix</a></div><div class="ttdeci">dense_matrix(std::size_t rows, std::size_t cols)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00051">structured-matrices.cpp:51</a></div></div>
<div class="ttc" id="classdense__matrix_html_ab1a44950ef5e5d4a684c22657af8f726"><div class="ttname"><a href="classdense__matrix.html#ab1a44950ef5e5d4a684c22657af8f726">dense_matrix::size2</a></div><div class="ttdeci">std::size_t size2() const </div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00057">structured-matrices.cpp:57</a></div></div>
<div class="ttc" id="tests_2src_2structured-matrices_8cpp_html_ad1c912fb25a41391411c00de85a1ebeb"><div class="ttname"><a href="tests_2src_2structured-matrices_8cpp.html#ad1c912fb25a41391411c00de85a1ebeb">vandermonde_test</a></div><div class="ttdeci">int vandermonde_test(ScalarType epsilon)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00373">structured-matrices.cpp:373</a></div></div>
<div class="ttc" id="prod_8hpp_html"><div class="ttname"><a href="prod_8hpp.html">prod.hpp</a></div><div class="ttdoc">Generic interface for matrix-vector and matrix-matrix products. See viennacl/linalg/vector_operations...</div></div>
<div class="ttc" id="tests_2src_2structured-matrices_8cpp_html_af649847e70b328d7638362c2e9691ea1"><div class="ttname"><a href="tests_2src_2structured-matrices_8cpp.html#af649847e70b328d7638362c2e9691ea1">diff</a></div><div class="ttdeci">ScalarType diff(dense_matrix< ScalarType > const &m1, dense_matrix< ScalarType > const &m2)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00090">structured-matrices.cpp:90</a></div></div>
<div class="ttc" id="tests_2src_2structured-matrices_8cpp_html_a1c636bc9529b33fa277877d0ebe9a2b2"><div class="ttname"><a href="tests_2src_2structured-matrices_8cpp.html#a1c636bc9529b33fa277877d0ebe9a2b2">hankel_test</a></div><div class="ttdeci">int hankel_test(ScalarType epsilon)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00460">structured-matrices.cpp:460</a></div></div>
<div class="ttc" id="classdense__matrix_html"><div class="ttname"><a href="classdense__matrix.html">dense_matrix</a></div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00046">structured-matrices.cpp:46</a></div></div>
<div class="ttc" id="classviennacl_1_1hankel__matrix_html"><div class="ttname"><a href="classviennacl_1_1hankel__matrix.html">viennacl::hankel_matrix</a></div><div class="ttdoc">A Hankel matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00412">forwards.h:412</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="tests_2src_2structured-matrices_8cpp_html_a9da71d9f01f41f9a08954fc15b2a655c"><div class="ttname"><a href="tests_2src_2structured-matrices_8cpp.html#a9da71d9f01f41f9a08954fc15b2a655c">transpose_test</a></div><div class="ttdeci">void transpose_test()</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00150">structured-matrices.cpp:150</a></div></div>
<div class="ttc" id="tests_2src_2structured-matrices_8cpp_html_ac0e8e0cdd79549fd363949f10e66a1b4"><div class="ttname"><a href="tests_2src_2structured-matrices_8cpp.html#ac0e8e0cdd79549fd363949f10e66a1b4">toeplitz_test</a></div><div class="ttdeci">int toeplitz_test(ScalarType epsilon)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00170">structured-matrices.cpp:170</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="classdense__matrix_html_afa84b98faa785dd51fdb4f8a5da39a8d"><div class="ttname"><a href="classdense__matrix.html#afa84b98faa785dd51fdb4f8a5da39a8d">dense_matrix::size1</a></div><div class="ttdeci">std::size_t size1() const </div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00056">structured-matrices.cpp:56</a></div></div>
<div class="ttc" id="classviennacl_1_1vandermonde__matrix_html"><div class="ttname"><a href="classviennacl_1_1vandermonde__matrix.html">viennacl::vandermonde_matrix</a></div><div class="ttdoc">A Vandermonde matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00418">forwards.h:418</a></div></div>
<div class="ttc" id="classdense__matrix_html_a6f6e659c7cb58d550480bdbbaa2463a8"><div class="ttname"><a href="classdense__matrix.html#a6f6e659c7cb58d550480bdbbaa2463a8">dense_matrix::operator+=</a></div><div class="ttdeci">dense_matrix & operator+=(dense_matrix const &other)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00059">structured-matrices.cpp:59</a></div></div>
<div class="ttc" id="tests_2src_2structured-matrices_8cpp_html_a0e28bd6526e1b7c613a4404844843da8"><div class="ttname"><a href="tests_2src_2structured-matrices_8cpp.html#a0e28bd6526e1b7c613a4404844843da8">circulant_test</a></div><div class="ttdeci">int circulant_test(ScalarType epsilon)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00271">structured-matrices.cpp:271</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="hankel__matrix_8hpp_html"><div class="ttname"><a href="hankel__matrix_8hpp.html">hankel_matrix.hpp</a></div><div class="ttdoc">Implementation of the hankel_matrix class for efficient manipulation of Hankel matrices. Experimental. </div></div>
<div class="ttc" id="classviennacl_1_1hankel__matrix_html_a2965b9cc1428525b503791ff404ac2f1"><div class="ttname"><a href="classviennacl_1_1hankel__matrix.html#a2965b9cc1428525b503791ff404ac2f1">viennacl::hankel_matrix::size2</a></div><div class="ttdeci">vcl_size_t size2() const </div><div class="ttdoc">Returns the number of columns of the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="hankel__matrix_8hpp_source.html#l00099">hankel_matrix.hpp:99</a></div></div>
<div class="ttc" id="circulant__matrix_8hpp_html"><div class="ttname"><a href="circulant__matrix_8hpp.html">circulant_matrix.hpp</a></div><div class="ttdoc">Implementation of the circulant_matrix class for efficient manipulation of circulant matrices...</div></div>
<div class="ttc" id="classviennacl_1_1circulant__matrix_html_a9f7b8f263f9e14811967a2cae99b09c3"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html#a9f7b8f263f9e14811967a2cae99b09c3">viennacl::circulant_matrix::size1</a></div><div class="ttdeci">vcl_size_t size1() const </div><div class="ttdoc">Returns the number of rows of the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00092">circulant_matrix.hpp:92</a></div></div>
<div class="ttc" id="tests_2src_2structured-matrices_8cpp_html_aadad85fa5cbf31466487bb0585d1a769"><div class="ttname"><a href="tests_2src_2structured-matrices_8cpp.html#aadad85fa5cbf31466487bb0585d1a769">diff_max</a></div><div class="ttdeci">ScalarType diff_max(std::vector< ScalarType > &vec, std::vector< ScalarType > &ref)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00127">structured-matrices.cpp:127</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="classdense__matrix_html_abff4edb4f79fe4dc40f2c3d50da01960"><div class="ttname"><a href="classdense__matrix.html#abff4edb4f79fe4dc40f2c3d50da01960">dense_matrix::operator()</a></div><div class="ttdeci">T & operator()(std::size_t i, std::size_t j)</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00053">structured-matrices.cpp:53</a></div></div>
<div class="ttc" id="classviennacl_1_1hankel__matrix_html_ae1fe055fd4987e7ccc9585eaa169ebb6"><div class="ttname"><a href="classviennacl_1_1hankel__matrix.html#ae1fe055fd4987e7ccc9585eaa169ebb6">viennacl::hankel_matrix::size1</a></div><div class="ttdeci">vcl_size_t size1() const </div><div class="ttdoc">Returns the number of rows of the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="hankel__matrix_8hpp_source.html#l00094">hankel_matrix.hpp:94</a></div></div>
<div class="ttc" id="vandermonde__matrix_8hpp_html"><div class="ttname"><a href="vandermonde__matrix_8hpp.html">vandermonde_matrix.hpp</a></div><div class="ttdoc">Implementation of the vandermonde_matrix class for efficient manipulation of Vandermonde matrices...</div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ae829451e793471ca5e8751cf89fec950"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ae829451e793471ca5e8751cf89fec950">viennacl::linalg::transpose</a></div><div class="ttdeci">void transpose(viennacl::matrix< NumericT, viennacl::row_major, AlignmentV > &input)</div><div class="ttdoc">Inplace_transpose matrix. </div><div class="ttdef"><b>Definition:</b> <a href="fft__operations_8hpp_source.html#l00329">fft_operations.hpp:329</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="fft_8hpp_html"><div class="ttname"><a href="fft_8hpp.html">fft.hpp</a></div><div class="ttdoc">All routines related to the Fast Fourier Transform. Experimental. </div></div>
<div class="ttc" id="classviennacl_1_1toeplitz__matrix_html"><div class="ttname"><a href="classviennacl_1_1toeplitz__matrix.html">viennacl::toeplitz_matrix</a></div><div class="ttdoc">A Toeplitz matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00415">forwards.h:415</a></div></div>
<div class="ttc" id="classviennacl_1_1vandermonde__matrix_html_a6b3eadef03c3a238fd1ec8e62b176926"><div class="ttname"><a href="classviennacl_1_1vandermonde__matrix.html#a6b3eadef03c3a238fd1ec8e62b176926">viennacl::vandermonde_matrix::size2</a></div><div class="ttdeci">vcl_size_t size2() const </div><div class="ttdoc">Returns the number of columns of the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="vandermonde__matrix_8hpp_source.html#l00100">vandermonde_matrix.hpp:100</a></div></div>
<div class="ttc" id="classviennacl_1_1circulant__matrix_html"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html">viennacl::circulant_matrix</a></div><div class="ttdoc">A Circulant matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00041">circulant_matrix.hpp:41</a></div></div>
<div class="ttc" id="global__variables_8cpp_html_a89b4bc8b54dcd52b589217c5ba927b38"><div class="ttname"><a href="global__variables_8cpp.html#a89b4bc8b54dcd52b589217c5ba927b38">m1</a></div><div class="ttdeci">viennacl::matrix< float > m1</div><div class="ttdef"><b>Definition:</b> <a href="global__variables_8cpp_source.html#l00063">global_variables.cpp:63</a></div></div>
<div class="ttc" id="classviennacl_1_1circulant__matrix_html_a5d540965cf140ba66b2bc33754be00f0"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html#a5d540965cf140ba66b2bc33754be00f0">viennacl::circulant_matrix::size2</a></div><div class="ttdeci">vcl_size_t size2() const </div><div class="ttdoc">Returns the number of columns of the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00097">circulant_matrix.hpp:97</a></div></div>
<div class="ttc" id="classviennacl_1_1vandermonde__matrix_html_acc23bc5cfe84e53e8eb8293b964683a8"><div class="ttname"><a href="classviennacl_1_1vandermonde__matrix.html#acc23bc5cfe84e53e8eb8293b964683a8">viennacl::vandermonde_matrix::size1</a></div><div class="ttdeci">vcl_size_t size1() const </div><div class="ttdoc">Returns the number of rows of the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="vandermonde__matrix_8hpp_source.html#l00095">vandermonde_matrix.hpp:95</a></div></div>
<div class="ttc" id="classdense__matrix_html_a9b6d76a53f8933204661cd7fefad20cd"><div class="ttname"><a href="classdense__matrix.html#a9b6d76a53f8933204661cd7fefad20cd">dense_matrix::size_type</a></div><div class="ttdeci">std::size_t size_type</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00049">structured-matrices.cpp:49</a></div></div>
<div class="ttc" id="tests_2src_2structured-matrices_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="tests_2src_2structured-matrices_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00561">structured-matrices.cpp:561</a></div></div>
<div class="ttc" id="classdense__matrix_html_a875f4fff972d1f712df11fd3b1c3a36d"><div class="ttname"><a href="classdense__matrix.html#a875f4fff972d1f712df11fd3b1c3a36d">dense_matrix::operator()</a></div><div class="ttdeci">T const & operator()(std::size_t i, std::size_t j) const </div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2structured-matrices_8cpp_source.html#l00054">structured-matrices.cpp:54</a></div></div>
<div class="ttc" id="toeplitz__matrix_8hpp_html"><div class="ttname"><a href="toeplitz__matrix_8hpp.html">toeplitz_matrix.hpp</a></div><div class="ttdoc">Implementation of the toeplitz_matrix class for efficient manipulation of Toeplitz matrices...</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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