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<div class="title">structured-matrices.cpp</div> </div>
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<a href="examples_2tutorial_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="l00027"></a><span class="lineno"> 27</span> <span class="comment">// include necessary system headers</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <iostream></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">// ViennaCL headers</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</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="l00032"></a><span class="lineno"> 32</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="l00033"></a><span class="lineno"> 33</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="l00034"></a><span class="lineno"> 34</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="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// Boost headers</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include "boost/numeric/ublas/vector.hpp"</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix.hpp"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix_proxy.hpp"</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#include "boost/numeric/ublas/io.hpp"</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</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="l00048"></a><span class="lineno"> 48</span> {</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keyword">typedef</span> <span class="keywordtype">float</span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</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"> 51</span>  std::size_t <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a> = 4;</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  boost::numeric::ublas::vector<ScalarType> ublas_vec(size);</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  boost::numeric::ublas::matrix<ScalarType> ublas_circulant(size, size);</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  boost::numeric::ublas::matrix<ScalarType> ublas_hankel(size, size);</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  boost::numeric::ublas::matrix<ScalarType> ublas_toeplitz(size, size);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  boost::numeric::ublas::matrix<ScalarType> ublas_vandermonde(size, size);</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>; i++)</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">for</span> (std::size_t j = 0; j < <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>; j++)</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  {</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  ublas_circulant(i,j) = <span class="keyword">static_cast<</span>ScalarType<span class="keyword">></span>((i - j + <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>) % size);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  ublas_hankel(i,j) = <span class="keyword">static_cast<</span>ScalarType<span class="keyword">></span>((i + j) % (2 * size));</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  ublas_toeplitz(i,j) = <span class="keyword">static_cast<</span>ScalarType<span class="keyword">></span>(i) - static_cast<ScalarType>(j);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  ublas_vandermonde(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="l00069"></a><span class="lineno"> 69</span>  }</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> vcl_vec(size);</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> vcl_result(size);</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="classviennacl_1_1circulant__matrix.html">viennacl::circulant_matrix<ScalarType></a> vcl_circulant(size, size);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="classviennacl_1_1hankel__matrix.html">viennacl::hankel_matrix<ScalarType></a> vcl_hankel(size, size);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="classviennacl_1_1toeplitz__matrix.html">viennacl::toeplitz_matrix<ScalarType></a> vcl_toeplitz(size, size);</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="classviennacl_1_1vandermonde__matrix.html">viennacl::vandermonde_matrix<ScalarType></a> vcl_vandermonde(size, size);</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="comment">// copy matrices:</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_circulant, vcl_circulant);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_hankel, vcl_hankel);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_toeplitz, vcl_toeplitz);</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_vandermonde, vcl_vandermonde);</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="comment">// fill vectors:</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>; i++)</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  {</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  ublas_vec[i] = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i);</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  vcl_vec[i] = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i);</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  }</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  std::cout << <span class="stringliteral">"Circulant matrix before addition: "</span> << vcl_circulant << std::endl << std::endl;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  vcl_circulant += vcl_circulant;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  std::cout << <span class="stringliteral">"Circulant matrix after addition: "</span> << vcl_circulant << std::endl << std::endl;</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> </div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  std::cout << <span class="stringliteral">"Hankel matrix before manipulation: "</span> << vcl_hankel << std::endl << std::endl;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  vcl_hankel(1, 2) = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(3.14);</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  std::cout << <span class="stringliteral">"Hankel matrix after manipulation: "</span> << vcl_hankel << std::endl << std::endl;</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>  std::cout << <span class="stringliteral">"Vandermonde matrix before manipulation: "</span> << vcl_vandermonde << std::endl << std::endl;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  vcl_vandermonde(1) = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(1.1); <span class="comment">//NOTE: Write access only via row index</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  std::cout << <span class="stringliteral">"Vandermonde matrix after manipulation: "</span> << vcl_vandermonde << std::endl << std::endl;</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  std::cout << <span class="stringliteral">"Toeplitz matrix: "</span> << vcl_toeplitz << std::endl;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  std::cout << <span class="stringliteral">"Vector: "</span> << vcl_vec << std::endl << std::endl;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  vcl_result = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(vcl_toeplitz, vcl_vec);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  std::cout << <span class="stringliteral">"Result of matrix-vector product: "</span> << vcl_result << std::endl << std::endl;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  std::cout << <span class="stringliteral">"!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!"</span> << std::endl;</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="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> }</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="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_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="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="namespaceviennacl_1_1traits_html_aa2344ea20469f55fbc15a8e9526494d0"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">viennacl::traits::size</a></div><div class="ttdeci">vcl_size_t size(VectorType const &vec)</div><div class="ttdoc">Generic routine for obtaining the size of a vector (ViennaCL, uBLAS, etc.) </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00239">size.hpp:239</a></div></div>
<div class="ttc" id="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="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_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector< ScalarType ></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_html_a10b7f8cf6b8864a7aa196d670481a453"><div class="ttname"><a href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a></div><div class="ttdeci">void copy(std::vector< NumericT > &cpu_vec, circulant_matrix< NumericT, AlignmentV > &gpu_mat)</div><div class="ttdoc">Copies a circulant matrix from the std::vector to the OpenCL device (either GPU or multi-core CPU) ...</div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00150">circulant_matrix.hpp:150</a></div></div>
<div class="ttc" id="fft__1d_8cpp_html_ad5c19ca4f47d3f8ec21232a5af2624e5"><div class="ttname"><a href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a></div><div class="ttdeci">float ScalarType</div><div class="ttdef"><b>Definition:</b> <a href="fft__1d_8cpp_source.html#l00042">fft_1d.cpp:42</a></div></div>
<div class="ttc" id="classviennacl_1_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_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="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="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>
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