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 <span id="projectnumber">1.7.1</span>
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<div id="projectbrief">Free open-source GPU-accelerated linear algebra and solver library.</div>
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<div class="title">fft.hpp</div> </div>
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<a href="fft_8hpp.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="preprocessor">#ifndef VIENNACL_FFT_HPP</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_FFT_HPP</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> </div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">/* =========================================================================</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> TU Wien.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> Portions of this software are copyright by UChicago Argonne, LLC.</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"> ViennaCL - The Vienna Computing Library</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"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> Project Head: Karl Rupp rupp@iue.tuwien.ac.at</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"></span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> (A list of authors and contributors can be found in the manual)</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"></span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> License: MIT (X11), see file LICENSE in the base directory</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> ============================================================================= */</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <<a class="code" href="matrix_8hpp.html">viennacl/matrix.hpp</a>></span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> </div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="fft__operations_8hpp.html">viennacl/linalg/fft_operations.hpp</a>"</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="traits_2handle_8hpp.html">viennacl/traits/handle.hpp</a>"</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <cmath></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include <stdexcept></span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">namespace </span>viennacl</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="keyword">namespace </span>detail</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> {</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">namespace </span><a class="code" href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">fft</a></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> {</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> is_radix2(<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> data_size)</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  {</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">return</span> !((data_size > 2) && (data_size & (data_size - 1)));</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  }</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> } <span class="comment">//namespace fft</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> } <span class="comment">//namespace detail</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">template</span><<span class="keyword">class</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="keywordtype">void</span> inplace_fft(<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a>& input, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> batch_num = 1,</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a> = -1.0)</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a> = (input.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() >> 1) / batch_num;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> </div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">if</span> (!viennacl::detail::fft::is_radix2(size))</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  {</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a> output(input.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>());</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ae08098ec11a08f2989e4bdd69006e528">viennacl::linalg::direct</a>(input, output, size, size, batch_num, <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(output, input);</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="keywordflow">else</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a824a7dd4e1dd0dd3a7698b1f1bffc431">viennacl::linalg::radix2</a>(input, size, size, batch_num, <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>);</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="l00079"></a><span class="lineno"> 79</span> <span class="keyword">template</span><<span class="keyword">class</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="keywordtype">void</span> <a class="code" href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">fft</a>(<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a>& input,</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a>& output, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> batch_num = 1, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a> = -1.0)</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> {</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> size = (input.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() >> 1) / batch_num;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">if</span> (viennacl::detail::fft::is_radix2(size))</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  {</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(input, output);</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a824a7dd4e1dd0dd3a7698b1f1bffc431">viennacl::linalg::radix2</a>(output, size, size, batch_num, <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>);</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="keywordflow">else</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ae08098ec11a08f2989e4bdd69006e528">viennacl::linalg::direct</a>(input, output, size, size, batch_num, <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>);</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> </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="keyword">template</span><<span class="keyword">class</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="keywordtype">void</span> inplace_fft(<a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, viennacl::row_major, AlignmentV></a>& input,</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a> = -1.0)</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>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> rows_num = input.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>();</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> cols_num = input.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>() >> 1;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> cols_int = input.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>() >> 1;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="comment">// batch with rows</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">if</span> (viennacl::detail::fft::is_radix2(cols_num))</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a824a7dd4e1dd0dd3a7698b1f1bffc431">viennacl::linalg::radix2</a>(input, cols_num, cols_int, rows_num, <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>,</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1host__based_1_1detail_1_1fft_1_1_f_f_t___d_a_t_a___o_r_d_e_r.html#aac2583f16e35875f2696e9220bd262f2afffdaee3461226037812d7c99faf6e1b">viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::ROW_MAJOR</a>);</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keywordflow">else</span></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="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, viennacl::row_major, AlignmentV></a> output(input.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(),</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  input.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>());</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>  <a class="code" href="namespaceviennacl_1_1linalg.html#ae08098ec11a08f2989e4bdd69006e528">viennacl::linalg::direct</a>(input, output, cols_num, cols_int, rows_num, <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>,</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1host__based_1_1detail_1_1fft_1_1_f_f_t___d_a_t_a___o_r_d_e_r.html#aac2583f16e35875f2696e9220bd262f2afffdaee3461226037812d7c99faf6e1b">viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::ROW_MAJOR</a>);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  input = output;</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="comment">// batch with cols</span></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">if</span> (viennacl::detail::fft::is_radix2(rows_num))</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a824a7dd4e1dd0dd3a7698b1f1bffc431">viennacl::linalg::radix2</a>(input, rows_num, cols_int, cols_num, <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>,</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1host__based_1_1detail_1_1fft_1_1_f_f_t___d_a_t_a___o_r_d_e_r.html#aac2583f16e35875f2696e9220bd262f2ab023e0d434670522cca0f9ae34e590fe">viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::COL_MAJOR</a>);</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordflow">else</span></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="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, viennacl::row_major, AlignmentV></a> output(input.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(),</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  input.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>());</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ae08098ec11a08f2989e4bdd69006e528">viennacl::linalg::direct</a>(input, output, rows_num, cols_int, cols_num, <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>,</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1host__based_1_1detail_1_1fft_1_1_f_f_t___d_a_t_a___o_r_d_e_r.html#aac2583f16e35875f2696e9220bd262f2ab023e0d434670522cca0f9ae34e590fe">viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::COL_MAJOR</a>);</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>  input = output;</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  }</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> </div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> }</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> </div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="keyword">template</span><<span class="keyword">class</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="keywordtype">void</span> <a class="code" href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">fft</a>(<a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, viennacl::row_major, AlignmentV></a>& input, <span class="comment">//TODO</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, viennacl::row_major, AlignmentV></a>& output, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a> = -1.0)</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> {</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> rows_num = input.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>();</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> cols_num = input.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>() >> 1;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> cols_int = input.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>() >> 1;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> </div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="comment">// batch with rows</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordflow">if</span> (viennacl::detail::fft::is_radix2(cols_num))</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  {</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  output = input;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a824a7dd4e1dd0dd3a7698b1f1bffc431">viennacl::linalg::radix2</a>(output, cols_num, cols_int, rows_num, <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>,</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1host__based_1_1detail_1_1fft_1_1_f_f_t___d_a_t_a___o_r_d_e_r.html#aac2583f16e35875f2696e9220bd262f2afffdaee3461226037812d7c99faf6e1b">viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::ROW_MAJOR</a>);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  }</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ae08098ec11a08f2989e4bdd69006e528">viennacl::linalg::direct</a>(input, output, cols_num, cols_int, rows_num, <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>,</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1host__based_1_1detail_1_1fft_1_1_f_f_t___d_a_t_a___o_r_d_e_r.html#aac2583f16e35875f2696e9220bd262f2afffdaee3461226037812d7c99faf6e1b">viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::ROW_MAJOR</a>);</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>  <span class="comment">// batch with cols</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordflow">if</span> (viennacl::detail::fft::is_radix2(rows_num))</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  {</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="comment">//std::cout<<"output"<<output<<std::endl;</span></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>  <a class="code" href="namespaceviennacl_1_1linalg.html#a824a7dd4e1dd0dd3a7698b1f1bffc431">viennacl::linalg::radix2</a>(output, rows_num, cols_int, cols_num, <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>,</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1host__based_1_1detail_1_1fft_1_1_f_f_t___d_a_t_a___o_r_d_e_r.html#aac2583f16e35875f2696e9220bd262f2ab023e0d434670522cca0f9ae34e590fe">viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::COL_MAJOR</a>);</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  }</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  {</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, viennacl::row_major, AlignmentV></a> tmp(output.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(),</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  output.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>());</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  tmp = output;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="comment">//std::cout<<"tmp"<<tmp<<std::endl;</span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ae08098ec11a08f2989e4bdd69006e528">viennacl::linalg::direct</a>(tmp, output, rows_num, cols_int, cols_num, <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">sign</a>,</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1host__based_1_1detail_1_1fft_1_1_f_f_t___d_a_t_a___o_r_d_e_r.html#aac2583f16e35875f2696e9220bd262f2ab023e0d434670522cca0f9ae34e590fe">viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::COL_MAJOR</a>);</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  }</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> }</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> </div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="keyword">template</span><<span class="keyword">class</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="keywordtype">void</span> inplace_ifft(<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a>& input, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> batch_num = 1)</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> {</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  viennacl::inplace_fft(input, batch_num, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(1.0));</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a867024b8e563104417fc09e675a1e931">viennacl::linalg::normalize</a>(input);</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> }</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="keyword">template</span><<span class="keyword">class</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="keywordtype">void</span> ifft(<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a>& input,</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a>& output, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> batch_num = 1)</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> {</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <a class="code" href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">viennacl::fft</a>(input, output, batch_num, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(1.0));</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a867024b8e563104417fc09e675a1e931">viennacl::linalg::normalize</a>(output);</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> }</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> </div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> {</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keyword">template</span><<span class="keyword">class</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordtype">void</span> <a class="code" href="fft__1d_8cpp.html#a74945fbb0428589ce1c9c4723865158e">convolve</a>(<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a>& input1,</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a>& input2,</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a>& output)</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>  assert(input1.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() == input2.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>());</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  assert(input1.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() == output.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>());</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="comment">//temporal arrays</span></div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a> tmp1(input1.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>());</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a> tmp2(input2.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>());</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a> tmp3(output.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>());</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> </div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="comment">// align input arrays to equal size</span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="comment">// FFT of input data</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <a class="code" href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">viennacl::fft</a>(input1, tmp1);</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <a class="code" href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">viennacl::fft</a>(input2, tmp2);</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> </div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="comment">// multiplication of input data</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ad89501246ebdf434e5181cfa83116cb1">viennacl::linalg::multiply_complex</a>(tmp1, tmp2, tmp3);</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="comment">// inverse FFT of input data</span></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  viennacl::ifft(tmp3, output);</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> </div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keyword">template</span><<span class="keyword">class</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg.html#a7b596f98d234d40fe9460d0077d1fcc3">convolve_i</a>(<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a>& input1,</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a>& input2,</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a>& output)</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  {</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  assert(input1.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() == input2.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>());</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  assert(input1.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() == output.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>());</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> </div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  viennacl::inplace_fft(input1);</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  viennacl::inplace_fft(input2);</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> </div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ad89501246ebdf434e5181cfa83116cb1">viennacl::linalg::multiply_complex</a>(input1, input2, output);</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> </div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  viennacl::inplace_ifft(output);</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  }</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> } <span class="comment">//namespace linalg</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> } <span class="comment">//namespace viennacl</span></div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span> </div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="matrix_8hpp_html"><div class="ttname"><a href="matrix_8hpp.html">matrix.hpp</a></div><div class="ttdoc">Implementation of the dense matrix class. </div></div>
<div class="ttc" id="classviennacl_1_1matrix_html"><div class="ttname"><a href="classviennacl_1_1matrix.html">viennacl::matrix</a></div><div class="ttdoc">A dense matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00375">forwards.h:375</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a867024b8e563104417fc09e675a1e931"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a867024b8e563104417fc09e675a1e931">viennacl::linalg::normalize</a></div><div class="ttdeci">void normalize(viennacl::vector< NumericT, AlignmentV > &input)</div><div class="ttdoc">Normalize vector on with his own size. </div><div class="ttdef"><b>Definition:</b> <a href="fft__operations_8hpp_source.html#l00299">fft_operations.hpp:299</a></div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_a52b5d30a2d7b064678644a3bf49b7f6c"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a></div><div class="ttdeci">float NumericT</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00040">bisect.cpp:40</a></div></div>
<div class="ttc" id="fft__operations_8hpp_html"><div class="ttname"><a href="fft__operations_8hpp.html">fft_operations.hpp</a></div><div class="ttdoc">Implementations of Fast Furier Transformation. </div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1host__based_1_1detail_1_1fft_1_1_f_f_t___d_a_t_a___o_r_d_e_r_html_aac2583f16e35875f2696e9220bd262f2afffdaee3461226037812d7c99faf6e1b"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1host__based_1_1detail_1_1fft_1_1_f_f_t___d_a_t_a___o_r_d_e_r.html#aac2583f16e35875f2696e9220bd262f2afffdaee3461226037812d7c99faf6e1b">viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::ROW_MAJOR</a></div><div class="ttdef"><b>Definition:</b> <a href="host__based_2fft__operations_8hpp_source.html#l00051">fft_operations.hpp:51</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="namespaceviennacl_1_1linalg_html_ad89501246ebdf434e5181cfa83116cb1"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ad89501246ebdf434e5181cfa83116cb1">viennacl::linalg::multiply_complex</a></div><div class="ttdeci">void multiply_complex(viennacl::vector< NumericT, AlignmentV > const &input1, viennacl::vector< NumericT, AlignmentV > const &input2, viennacl::vector< NumericT, AlignmentV > &output)</div><div class="ttdoc">Mutiply two complex vectors and store result in output. </div><div class="ttdef"><b>Definition:</b> <a href="fft__operations_8hpp_source.html#l00267">fft_operations.hpp:267</a></div></div>
<div class="ttc" id="namespaceviennacl_html_a98a0afcc513111ffa0bd138f891930df"><div class="ttname"><a href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">viennacl::vcl_size_t</a></div><div class="ttdeci">std::size_t vcl_size_t</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00075">forwards.h:75</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a4348766b3b9cb049f7acd6a795272dbe"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">viennacl::matrix_base< NumericT >::size2</a></div><div class="ttdeci">size_type size2() const</div><div class="ttdoc">Returns the number of columns. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00226">matrix_def.hpp:226</a></div></div>
<div class="ttc" id="classviennacl_1_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector< NumericT, AlignmentV ></a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a24e4f5fa27a1af5ad47e52a97c065d68"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">viennacl::matrix_base< NumericT >::size1</a></div><div class="ttdeci">size_type size1() const</div><div class="ttdoc">Returns the number of rows. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00224">matrix_def.hpp:224</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a7b596f98d234d40fe9460d0077d1fcc3"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a7b596f98d234d40fe9460d0077d1fcc3">viennacl::linalg::convolve_i</a></div><div class="ttdeci">void convolve_i(viennacl::vector< SCALARTYPE, ALIGNMENT > &input1, viennacl::vector< SCALARTYPE, ALIGNMENT > &input2, viennacl::vector< SCALARTYPE, ALIGNMENT > &output)</div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1host__based_1_1detail_1_1fft_1_1_f_f_t___d_a_t_a___o_r_d_e_r_html_aac2583f16e35875f2696e9220bd262f2ab023e0d434670522cca0f9ae34e590fe"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1host__based_1_1detail_1_1fft_1_1_f_f_t___d_a_t_a___o_r_d_e_r.html#aac2583f16e35875f2696e9220bd262f2ab023e0d434670522cca0f9ae34e590fe">viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::COL_MAJOR</a></div><div class="ttdef"><b>Definition:</b> <a href="host__based_2fft__operations_8hpp_source.html#l00051">fft_operations.hpp:51</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a824a7dd4e1dd0dd3a7698b1f1bffc431"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a824a7dd4e1dd0dd3a7698b1f1bffc431">viennacl::linalg::radix2</a></div><div class="ttdeci">void radix2(viennacl::matrix< NumericT, viennacl::row_major, AlignmentV > &in, vcl_size_t size, vcl_size_t stride, vcl_size_t batch_num, NumericT sign=NumericT(-1), viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::DATA_ORDER data_order=viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::ROW_MAJOR)</div><div class="ttdoc">Radix-2 1D algorithm for computing Fourier transformation. </div><div class="ttdef"><b>Definition:</b> <a href="fft__operations_8hpp_source.html#l00162">fft_operations.hpp:162</a></div></div>
<div class="ttc" id="vector_8hpp_html"><div class="ttname"><a href="vector_8hpp.html">vector.hpp</a></div><div class="ttdoc">The vector type with operator-overloads and proxy classes is defined here. Linear algebra operations ...</div></div>
<div class="ttc" id="namespaceviennacl_html_a10b7f8cf6b8864a7aa196d670481a453"><div class="ttname"><a href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a></div><div class="ttdeci">void copy(std::vector< NumericT > &cpu_vec, circulant_matrix< NumericT, AlignmentV > &gpu_mat)</div><div class="ttdoc">Copies a circulant matrix from the std::vector to the OpenCL device (either GPU or multi-core CPU) ...</div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00150">circulant_matrix.hpp:150</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html_a15c47ae4326098aeaa4ed6b91fc6df9b"><div class="ttname"><a href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">viennacl::vector_base::size</a></div><div class="ttdeci">size_type size() const </div><div class="ttdoc">Returns the length of the vector (cf. std::vector) </div><div class="ttdef"><b>Definition:</b> <a href="vector__def_8hpp_source.html#l00118">vector_def.hpp:118</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a00e30fdc61081a73995b54175a91d220"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">viennacl::matrix_base< NumericT >::internal_size2</a></div><div class="ttdeci">size_type internal_size2() const</div><div class="ttdoc">Returns the internal number of columns. Usually required for launching OpenCL kernels only...</div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00240">matrix_def.hpp:240</a></div></div>
<div class="ttc" id="fft__1d_8cpp_html_a74945fbb0428589ce1c9c4723865158e"><div class="ttname"><a href="fft__1d_8cpp.html#a74945fbb0428589ce1c9c4723865158e">convolve</a></div><div class="ttdeci">ScalarType convolve(std::vector< ScalarType > &in1, std::vector< ScalarType > &in2, unsigned int, unsigned int, unsigned int)</div><div class="ttdef"><b>Definition:</b> <a href="fft__1d_8cpp_source.html#l00944">fft_1d.cpp:944</a></div></div>
<div class="ttc" id="traits_2handle_8hpp_html"><div class="ttname"><a href="traits_2handle_8hpp.html">handle.hpp</a></div><div class="ttdoc">Extracts the underlying OpenCL handle from a vector, a matrix, an expression etc. ...</div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ae08098ec11a08f2989e4bdd69006e528"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ae08098ec11a08f2989e4bdd69006e528">viennacl::linalg::direct</a></div><div class="ttdeci">void direct(viennacl::vector< NumericT, AlignmentV > const &in, viennacl::vector< NumericT, AlignmentV > &out, vcl_size_t size, vcl_size_t stride, vcl_size_t batch_num, NumericT sign=NumericT(-1), viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::DATA_ORDER data_order=viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::ROW_MAJOR)</div><div class="ttdoc">Direct 1D algorithm for computing Fourier transformation. </div><div class="ttdef"><b>Definition:</b> <a href="fft__operations_8hpp_source.html#l00051">fft_operations.hpp:51</a></div></div>
<div class="ttc" id="fft__1d_8cpp_html_a56353420d188d1181ae49bf69283b497"><div class="ttname"><a href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">fft</a></div><div class="ttdeci">ScalarType fft(std::vector< ScalarType > &in, std::vector< ScalarType > &out, unsigned int, unsigned int, unsigned int batch_size)</div><div class="ttdef"><b>Definition:</b> <a href="fft__1d_8cpp_source.html#l00719">fft_1d.cpp:719</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_a7bfa1c9cb0afb4ca0f975e690f4a8f07"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a7bfa1c9cb0afb4ca0f975e690f4a8f07">viennacl::linalg::detail::sign</a></div><div class="ttdeci">SCALARTYPE sign(SCALARTYPE val)</div><div class="ttdef"><b>Definition:</b> <a href="qr-method-common_8hpp_source.html#l00071">qr-method-common.hpp:71</a></div></div>
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