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<div class="title">circulant_matrix.hpp</div> </div>
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<a href="circulant__matrix_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_CIRCULANT_MATRIX_HPP</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_CIRCULANT_MATRIX_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="forwards_8h.html">viennacl/forwards.h</a>"</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>"</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="backend_8hpp.html">viennacl/ocl/backend.hpp</a>"</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="circulant__matrix__operations_8hpp.html">viennacl/linalg/circulant_matrix_operations.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 "<a class="code" href="fft_8hpp.html">viennacl/fft.hpp</a>"</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> {</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</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="l00041"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html"> 41</a></span> <span class="keyword">class </span><a class="code" href="classviennacl_1_1circulant__matrix.html">circulant_matrix</a></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="keyword">public</span>:</div>
<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html#a20add1ca7973763648451656c1a691c2"> 44</a></span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1backend_1_1mem__handle.html">viennacl::backend::mem_handle</a> <a class="code" href="classviennacl_1_1circulant__matrix.html#a20add1ca7973763648451656c1a691c2">handle_type</a>;</div>
<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html#a1117ac76564254e55a0aa840094c188f"> 45</a></span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1scalar.html">scalar<typename viennacl::tools::CHECK_SCALAR_TEMPLATE_ARGUMENT<NumericT>::ResultType</a>> <a class="code" href="classviennacl_1_1circulant__matrix.html#a1117ac76564254e55a0aa840094c188f">value_type</a>;</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html#aee698efb56fc69c182d2c8198195bc1c"> 51</a></span>  <span class="keyword">explicit</span> <a class="code" href="classviennacl_1_1circulant__matrix.html#aee698efb56fc69c182d2c8198195bc1c">circulant_matrix</a>() {}</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html#af9dc083557c04773ea76ae24d0ef9f5b"> 59</a></span>  <span class="keyword">explicit</span> <a class="code" href="classviennacl_1_1circulant__matrix.html#af9dc083557c04773ea76ae24d0ef9f5b">circulant_matrix</a>(<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> rows, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> cols) : elements_(rows)</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>  assert(rows == cols && <span class="keywordtype">bool</span>(<span class="stringliteral">"Circulant matrix must be square!"</span>));</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  (void)cols; <span class="comment">// avoid 'unused parameter' warning in optimized builds</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  }</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> </div>
<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html#a42e8a7deab732db0a365331b6485d814"> 71</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1circulant__matrix.html#a42e8a7deab732db0a365331b6485d814">resize</a>(<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> sz, <span class="keywordtype">bool</span> preserve = <span class="keyword">true</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>  elements_.<a class="code" href="classviennacl_1_1vector.html#a1b73aadf0c7b6c0028fd237ebb30c767">resize</a>(sz, preserve);</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  }</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00080"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html#abb83d9c50ddca22724afc7e806dede27"> 80</a></span>  <a class="code" href="classviennacl_1_1backend_1_1mem__handle.html">handle_type</a> <span class="keyword">const</span> & <a class="code" href="classviennacl_1_1circulant__matrix.html#abb83d9c50ddca22724afc7e806dede27">handle</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> elements_.<a class="code" href="classviennacl_1_1vector__base.html#a64e98aea5aa298ad63e3832a04c19648">handle</a>(); }</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> </div>
<div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html#a86c5468a532826020e4e30c0885a2be5"> 86</a></span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a> & <a class="code" href="classviennacl_1_1circulant__matrix.html#a86c5468a532826020e4e30c0885a2be5">elements</a>() { <span class="keywordflow">return</span> elements_; }</div>
<div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html#af649429cce0ab2bbe5008a725ea9393a"> 87</a></span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a> <span class="keyword">const</span> & <a class="code" href="classviennacl_1_1circulant__matrix.html#af649429cce0ab2bbe5008a725ea9393a">elements</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> elements_; }</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a name="l00092"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html#a9f7b8f263f9e14811967a2cae99b09c3"> 92</a></span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="classviennacl_1_1circulant__matrix.html#a9f7b8f263f9e14811967a2cae99b09c3">size1</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> elements_.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>(); }</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div>
<div class="line"><a name="l00097"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html#a5d540965cf140ba66b2bc33754be00f0"> 97</a></span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="classviennacl_1_1circulant__matrix.html#a5d540965cf140ba66b2bc33754be00f0">size2</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> elements_.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>(); }</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> </div>
<div class="line"><a name="l00104"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html#a5e7bb5cfc4a61ee7926b475ea86ae5a0"> 104</a></span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="classviennacl_1_1circulant__matrix.html#a5e7bb5cfc4a61ee7926b475ea86ae5a0">internal_size</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> elements_.<a class="code" href="classviennacl_1_1vector__base.html#a47350ccdc4b0a24eaea0e8d5f9fe7fec">internal_size</a>(); }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a name="l00113"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html#a68d4b5d3b1dc16872df44fe69c7656fd"> 113</a></span>  <a class="code" href="classviennacl_1_1entry__proxy.html">entry_proxy<NumericT></a> <a class="code" href="classviennacl_1_1circulant__matrix.html#a68d4b5d3b1dc16872df44fe69c7656fd">operator()</a>(<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> row_index, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> col_index)</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  {</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordtype">long</span> index = <span class="keyword">static_cast<</span><span class="keywordtype">long</span><span class="keyword">></span>(row_index) - static_cast<long>(col_index);</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>  assert(row_index < <a class="code" href="classviennacl_1_1circulant__matrix.html#a9f7b8f263f9e14811967a2cae99b09c3">size1</a>() && col_index < <a class="code" href="classviennacl_1_1circulant__matrix.html#a5d540965cf140ba66b2bc33754be00f0">size2</a>() && <span class="keywordtype">bool</span>(<span class="stringliteral">"Invalid access"</span>));</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>  <span class="keywordflow">while</span> (index < 0)</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  index += <span class="keyword">static_cast<</span><span class="keywordtype">long</span><span class="keyword">></span>(<a class="code" href="classviennacl_1_1circulant__matrix.html#a9f7b8f263f9e14811967a2cae99b09c3">size1</a>());</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordflow">return</span> elements_[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(index)];</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> </div>
<div class="line"><a name="l00130"></a><span class="lineno"><a class="line" href="classviennacl_1_1circulant__matrix.html#a5ac9825eefabd3ceee675d498446b33e"> 130</a></span>  <a class="code" href="classviennacl_1_1circulant__matrix.html">circulant_matrix<NumericT, AlignmentV></a>& <a class="code" href="classviennacl_1_1circulant__matrix.html#a5ac9825eefabd3ceee675d498446b33e">operator +=</a>(<a class="code" href="classviennacl_1_1circulant__matrix.html">circulant_matrix<NumericT, AlignmentV></a>& that)</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>  elements_ += that.<a class="code" href="classviennacl_1_1circulant__matrix.html#a86c5468a532826020e4e30c0885a2be5">elements</a>();</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  }</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> </div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="classviennacl_1_1circulant__matrix.html#aee698efb56fc69c182d2c8198195bc1c">circulant_matrix</a>(<a class="code" href="classviennacl_1_1circulant__matrix.html">circulant_matrix</a> <span class="keyword">const</span> &) {}</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="classviennacl_1_1circulant__matrix.html#aee698efb56fc69c182d2c8198195bc1c">circulant_matrix</a> & operator=(<a class="code" href="classviennacl_1_1circulant__matrix.html#aee698efb56fc69c182d2c8198195bc1c">circulant_matrix</a> <span class="keyword">const</span> & t);</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>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT, AlignmentV></a> elements_;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> };</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> </div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00150"></a><span class="lineno"><a class="line" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453"> 150</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(std::vector<NumericT>& cpu_vec, <a class="code" href="classviennacl_1_1circulant__matrix.html">circulant_matrix<NumericT, AlignmentV></a>& gpu_mat)</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>  assert( (gpu_mat.<a class="code" href="classviennacl_1_1circulant__matrix.html#a9f7b8f263f9e14811967a2cae99b09c3">size1</a>() == 0 || cpu_vec.size() == gpu_mat.<a class="code" href="classviennacl_1_1circulant__matrix.html#a9f7b8f263f9e14811967a2cae99b09c3">size1</a>()) && <span class="keywordtype">bool</span>(<span class="stringliteral">"Size mismatch"</span>));</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(cpu_vec, gpu_mat.<a class="code" href="classviennacl_1_1circulant__matrix.html#a86c5468a532826020e4e30c0885a2be5">elements</a>());</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> }</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> </div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00163"></a><span class="lineno"><a class="line" href="namespaceviennacl.html#af2a8609bb498019d160969fde138a0bb"> 163</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(<a class="code" href="classviennacl_1_1circulant__matrix.html">circulant_matrix<NumericT, AlignmentV></a>& gpu_mat, std::vector<NumericT>& cpu_vec)</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> {</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  assert(cpu_vec.size() == gpu_mat.<a class="code" href="classviennacl_1_1circulant__matrix.html#a9f7b8f263f9e14811967a2cae99b09c3">size1</a>() && bool(<span class="stringliteral">"Size mismatch"</span>));</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(gpu_mat.<a class="code" href="classviennacl_1_1circulant__matrix.html#a86c5468a532826020e4e30c0885a2be5">elements</a>(), cpu_vec);</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="l00175"></a><span class="lineno"> 175</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV, <span class="keyword">typename</span> MatrixT></div>
<div class="line"><a name="l00176"></a><span class="lineno"><a class="line" href="namespaceviennacl.html#aaebed46e25be6371fe5610f75c315afc"> 176</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(<a class="code" href="classviennacl_1_1circulant__matrix.html">circulant_matrix<NumericT, AlignmentV></a>& circ_src, MatrixT& com_dst)</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> {</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a> = circ_src.<a class="code" href="classviennacl_1_1circulant__matrix.html#a9f7b8f263f9e14811967a2cae99b09c3">size1</a>();</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  assert(size == <a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">viennacl::traits::size1</a>(com_dst) && <span class="keywordtype">bool</span>(<span class="stringliteral">"Size mismatch"</span>));</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  assert(size == <a class="code" href="namespaceviennacl_1_1traits.html#a3658e7c29ac0f60a20cb5871f5b5fd98">viennacl::traits::size2</a>(com_dst) && <span class="keywordtype">bool</span>(<span class="stringliteral">"Size mismatch"</span>));</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  std::vector<NumericT> tmp(size);</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(circ_src, tmp);</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>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>; i++)</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  {</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>; 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>  <span class="keywordtype">long</span> index = <span class="keyword">static_cast<</span><span class="keywordtype">long</span><span class="keyword">></span>(i) - static_cast<long>(j);</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keywordflow">if</span> (index < 0)</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  index += <span class="keyword">static_cast<</span><span class="keywordtype">long</span><span class="keyword">></span>(<a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>);</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  com_dst(i, j) = tmp[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(index)];</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  }</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  }</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> </div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV, <span class="keyword">typename</span> MatrixT></div>
<div class="line"><a name="l00203"></a><span class="lineno"><a class="line" href="namespaceviennacl.html#acd7efd2bd791d1d11894ed488c3751ee"> 203</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(MatrixT& com_src, <a class="code" href="classviennacl_1_1circulant__matrix.html">circulant_matrix<NumericT, AlignmentV></a>& circ_dst)</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>  assert( (circ_dst.<a class="code" href="classviennacl_1_1circulant__matrix.html#a9f7b8f263f9e14811967a2cae99b09c3">size1</a>() == 0 || circ_dst.<a class="code" href="classviennacl_1_1circulant__matrix.html#a9f7b8f263f9e14811967a2cae99b09c3">size1</a>() == <a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">viennacl::traits::size1</a>(com_src)) && <span class="keywordtype">bool</span>(<span class="stringliteral">"Size mismatch"</span>));</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  assert( (circ_dst.<a class="code" href="classviennacl_1_1circulant__matrix.html#a5d540965cf140ba66b2bc33754be00f0">size2</a>() == 0 || circ_dst.<a class="code" href="classviennacl_1_1circulant__matrix.html#a5d540965cf140ba66b2bc33754be00f0">size2</a>() == <a class="code" href="namespaceviennacl_1_1traits.html#a3658e7c29ac0f60a20cb5871f5b5fd98">viennacl::traits::size2</a>(com_src)) && <span class="keywordtype">bool</span>(<span class="stringliteral">"Size mismatch"</span>));</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> </div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a> = <a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">viennacl::traits::size1</a>(com_src);</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> </div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  std::vector<NumericT> tmp(size);</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> </div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>; i++) tmp[i] = com_src(i, 0);</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">copy</a>(tmp, circ_dst);</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> }</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> </div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="comment">/*namespace linalg</span></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="comment"> {</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="comment"> template<typename NumericT, unsigned int AlignmentV, unsigned int VECTOR_AlignmentV></span></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="comment"> void prod_impl(circulant_matrix<NumericT, AlignmentV> const & mat,</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="comment"> vector<NumericT, VECTOR_AlignmentV> const & vec,</span></div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <span class="comment"> vector<NumericT, VECTOR_AlignmentV>& result) {</span></div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> <span class="comment"> viennacl::vector<NumericT, VECTOR_AlignmentV> circ(mat.elements().size() * 2);</span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> <span class="comment"> fft::real_to_complex(mat.elements(), circ, mat.elements().size());</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="comment"></span></div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> <span class="comment"> viennacl::vector<NumericT, VECTOR_AlignmentV> tmp(vec.size() * 2);</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="comment"> viennacl::vector<NumericT, VECTOR_AlignmentV> tmp2(vec.size() * 2);</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> <span class="comment"></span></div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> <span class="comment"> fft::real_to_complex(vec, tmp, vec.size());</span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> <span class="comment"> fft::convolve(circ, tmp, tmp2);</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span> <span class="comment"> fft::complex_to_real(tmp2, result, vec.size());</span></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> <span class="comment"> }</span></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> <span class="comment"> }*/</span></div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> </div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</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="l00241"></a><span class="lineno"><a class="line" href="namespaceviennacl.html#a620670ffc1049b66b2d51399d2c4c9ae"> 241</a></span> std::ostream & operator<<(std::ostream& s, circulant_matrix<NumericT, AlignmentV>& gpu_matrix)</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>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a> = gpu_matrix.size1();</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  std::vector<NumericT> tmp(size);</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">copy</a>(gpu_matrix, tmp);</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  s << <span class="stringliteral">"["</span> << size << <span class="stringliteral">","</span> << size << <span class="stringliteral">"]("</span>;</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="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>; i++)</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  {</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  s << <span class="stringliteral">"("</span>;</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < <a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>; j++)</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="keywordtype">long</span> index = <span class="keyword">static_cast<</span><span class="keywordtype">long</span><span class="keyword">></span>(i) - static_cast<long>(j);</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keywordflow">if</span> (index < 0) index = <span class="keyword">static_cast<</span><span class="keywordtype">long</span><span class="keyword">></span>(<a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>) + index;</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  s << tmp[<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a>(index)];</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="comment">//s << index;</span></div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keywordflow">if</span> (j < (size - 1)) s << <span class="stringliteral">","</span>;</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  }</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  s << <span class="stringliteral">")"</span>;</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  }</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  s << <span class="stringliteral">")"</span>;</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keywordflow">return</span> s;</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> }</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="comment">//</span></div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="comment">// Specify available operations:</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="comment">//</span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> </div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span> {</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> {</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="comment">// x = A * y</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> A></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="keyword">struct </span>op_executor<vector_base<T>, <a class="code" href="structop__assign.html">op_assign</a>, vector_expression<const circulant_matrix<T, A>, const vector_base<T>, op_prod> ></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  {</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> apply(vector_base<T> & lhs, vector_expression<<span class="keyword">const</span> circulant_matrix<T, A>, <span class="keyword">const</span> vector_base<T>, op_prod> <span class="keyword">const</span> & rhs)</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  {</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="comment">// check for the special case x = A * x</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceviennacl_1_1traits.html#ae39853b7f291a697e119a139439178fb">viennacl::traits::handle</a>(lhs) == <a class="code" href="namespaceviennacl_1_1traits.html#ae39853b7f291a697e119a139439178fb">viennacl::traits::handle</a>(rhs.rhs()))</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  {</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<T></a> temp(lhs);</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aafc6db8d806f67c24f93eaaded84b853">viennacl::linalg::prod_impl</a>(rhs.lhs(), rhs.rhs(), temp);</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  lhs = temp;</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  }</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aafc6db8d806f67c24f93eaaded84b853">viennacl::linalg::prod_impl</a>(rhs.lhs(), rhs.rhs(), lhs);</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  }</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  };</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="keyword">template</span><<span class="keyword">typename</span> T, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> A></div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <span class="keyword">struct </span>op_executor<vector_base<T>, op_inplace_add, vector_expression<const circulant_matrix<T, A>, const vector_base<T>, op_prod> ></div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  {</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> apply(vector_base<T> & lhs, vector_expression<<span class="keyword">const</span> circulant_matrix<T, A>, <span class="keyword">const</span> vector_base<T>, op_prod> <span class="keyword">const</span> & rhs)</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  {</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<T></a> temp(lhs);</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aafc6db8d806f67c24f93eaaded84b853">viennacl::linalg::prod_impl</a>(rhs.lhs(), rhs.rhs(), temp);</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  lhs += temp;</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  }</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  };</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> </div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> A></div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keyword">struct </span>op_executor<vector_base<T>, op_inplace_sub, vector_expression<const circulant_matrix<T, A>, const vector_base<T>, op_prod> ></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  {</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> apply(vector_base<T> & lhs, vector_expression<<span class="keyword">const</span> circulant_matrix<T, A>, <span class="keyword">const</span> vector_base<T>, op_prod> <span class="keyword">const</span> & rhs)</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  {</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<T></a> temp(lhs);</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aafc6db8d806f67c24f93eaaded84b853">viennacl::linalg::prod_impl</a>(rhs.lhs(), rhs.rhs(), temp);</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  lhs -= temp;</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  }</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  };</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> </div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span> </div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="comment">// x = A * vec_op</span></div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> A, <span class="keyword">typename</span> LHS, <span class="keyword">typename</span> RHS, <span class="keyword">typename</span> OP></div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="keyword">struct </span>op_executor<vector_base<T>, <a class="code" href="structop__assign.html">op_assign</a>, vector_expression<const circulant_matrix<T, A>, const vector_expression<const LHS, const RHS, OP>, op_prod> ></div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  {</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> apply(vector_base<T> & lhs, vector_expression<<span class="keyword">const</span> circulant_matrix<T, A>, <span class="keyword">const</span> vector_expression<const LHS, const RHS, OP>, op_prod> <span class="keyword">const</span> & rhs)</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  {</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<T></a> temp(rhs.rhs());</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aafc6db8d806f67c24f93eaaded84b853">viennacl::linalg::prod_impl</a>(rhs.lhs(), temp, lhs);</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  }</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>  <span class="comment">// x = A * vec_op</span></div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> A, <span class="keyword">typename</span> LHS, <span class="keyword">typename</span> RHS, <span class="keyword">typename</span> OP></div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="keyword">struct </span>op_executor<vector_base<T>, op_inplace_add, vector_expression<const circulant_matrix<T, A>, vector_expression<const LHS, const RHS, OP>, op_prod> ></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  {</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> apply(vector_base<T> & lhs, vector_expression<<span class="keyword">const</span> circulant_matrix<T, A>, vector_expression<const LHS, const RHS, OP>, op_prod> <span class="keyword">const</span> & rhs)</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>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<T></a> temp(rhs.rhs());</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<T></a> temp_result(lhs);</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aafc6db8d806f67c24f93eaaded84b853">viennacl::linalg::prod_impl</a>(rhs.lhs(), temp, temp_result);</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  lhs += temp_result;</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  }</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  };</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span> </div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="comment">// x = A * vec_op</span></div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> A, <span class="keyword">typename</span> LHS, <span class="keyword">typename</span> RHS, <span class="keyword">typename</span> OP></div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <span class="keyword">struct </span>op_executor<vector_base<T>, op_inplace_sub, vector_expression<const circulant_matrix<T, A>, const vector_expression<const LHS, const RHS, OP>, op_prod> ></div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  {</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> apply(vector_base<T> & lhs, vector_expression<<span class="keyword">const</span> circulant_matrix<T, A>, <span class="keyword">const</span> vector_expression<const LHS, const RHS, OP>, op_prod> <span class="keyword">const</span> & rhs)</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>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<T></a> temp(rhs.rhs());</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<T></a> temp_result(lhs);</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aafc6db8d806f67c24f93eaaded84b853">viennacl::linalg::prod_impl</a>(rhs.lhs(), temp, temp_result);</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  lhs -= temp_result;</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  }</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> </div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span> } <span class="comment">// namespace detail</span></div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span> } <span class="comment">// namespace linalg</span></div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span> </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> <span class="preprocessor">#endif // VIENNACL_CIRCULANT_MATRIX_HPP</span></div>
<div class="ttc" id="classviennacl_1_1circulant__matrix_html_af649429cce0ab2bbe5008a725ea9393a"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html#af649429cce0ab2bbe5008a725ea9393a">viennacl::circulant_matrix::elements</a></div><div class="ttdeci">viennacl::vector< NumericT, AlignmentV > const & elements() const </div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00087">circulant_matrix.hpp:87</a></div></div>
<div class="ttc" id="classviennacl_1_1scalar_html"><div class="ttname"><a href="classviennacl_1_1scalar.html">viennacl::scalar</a></div><div class="ttdoc">This class represents a single scalar value on the GPU and behaves mostly like a built-in scalar type...</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00227">forwards.h:227</a></div></div>
<div class="ttc" id="classviennacl_1_1circulant__matrix_html_a86c5468a532826020e4e30c0885a2be5"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html#a86c5468a532826020e4e30c0885a2be5">viennacl::circulant_matrix::elements</a></div><div class="ttdeci">viennacl::vector< NumericT, AlignmentV > & elements()</div><div class="ttdoc">Returns an internal viennacl::vector, which represents a circulant matrix elements. </div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00086">circulant_matrix.hpp:86</a></div></div>
<div class="ttc" id="circulant__matrix__operations_8hpp_html"><div class="ttname"><a href="circulant__matrix__operations_8hpp.html">circulant_matrix_operations.hpp</a></div><div class="ttdoc">Implementations of operations using circulant_matrix. Experimental. </div></div>
<div class="ttc" id="classviennacl_1_1circulant__matrix_html_a20add1ca7973763648451656c1a691c2"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html#a20add1ca7973763648451656c1a691c2">viennacl::circulant_matrix::handle_type</a></div><div class="ttdeci">viennacl::backend::mem_handle handle_type</div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00044">circulant_matrix.hpp:44</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_aa756f5d6820722094cae0d8b9bb6d5e2"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">viennacl::traits::size1</a></div><div class="ttdeci">vcl_size_t size1(MatrixType const &mat)</div><div class="ttdoc">Generic routine for obtaining the number of rows of a matrix (ViennaCL, uBLAS, etc.) </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00163">size.hpp:163</a></div></div>
<div class="ttc" id="classviennacl_1_1circulant__matrix_html_a1117ac76564254e55a0aa840094c188f"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html#a1117ac76564254e55a0aa840094c188f">viennacl::circulant_matrix::value_type</a></div><div class="ttdeci">scalar< typename viennacl::tools::CHECK_SCALAR_TEMPLATE_ARGUMENT< NumericT >::ResultType > value_type</div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00045">circulant_matrix.hpp:45</a></div></div>
<div class="ttc" id="forwards_8h_html"><div class="ttname"><a href="forwards_8h.html">forwards.h</a></div><div class="ttdoc">This file provides the forward declarations for the main types used within ViennaCL. </div></div>
<div class="ttc" id="classviennacl_1_1circulant__matrix_html_a42e8a7deab732db0a365331b6485d814"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html#a42e8a7deab732db0a365331b6485d814">viennacl::circulant_matrix::resize</a></div><div class="ttdeci">void resize(vcl_size_t sz, bool preserve=true)</div><div class="ttdoc">Resizes the matrix. Existing entries can be preserved. </div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00071">circulant_matrix.hpp:71</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a3658e7c29ac0f60a20cb5871f5b5fd98"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a3658e7c29ac0f60a20cb5871f5b5fd98">viennacl::traits::size2</a></div><div class="ttdeci">result_of::size_type< MatrixType >::type size2(MatrixType const &mat)</div><div class="ttdoc">Generic routine for obtaining the number of columns of a matrix (ViennaCL, uBLAS, etc...</div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00201">size.hpp:201</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="classviennacl_1_1circulant__matrix_html_a5e7bb5cfc4a61ee7926b475ea86ae5a0"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html#a5e7bb5cfc4a61ee7926b475ea86ae5a0">viennacl::circulant_matrix::internal_size</a></div><div class="ttdeci">vcl_size_t internal_size() const </div><div class="ttdoc">Returns the internal size of matrix representtion. Usually required for launching OpenCL kernels only...</div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00104">circulant_matrix.hpp:104</a></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="classviennacl_1_1vector_html_a1b73aadf0c7b6c0028fd237ebb30c767"><div class="ttname"><a href="classviennacl_1_1vector.html#a1b73aadf0c7b6c0028fd237ebb30c767">viennacl::vector::resize</a></div><div class="ttdeci">void resize(size_type new_size, bool preserve=true)</div><div class="ttdoc">Resizes the allocated memory for the vector. Pads the memory to be a multiple of 'AlignmentV'. </div><div class="ttdef"><b>Definition:</b> <a href="vector_8hpp_source.html#l01046">vector.hpp:1046</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_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector< NumericT, AlignmentV ></a></div></div>
<div class="ttc" id="classviennacl_1_1circulant__matrix_html_a68d4b5d3b1dc16872df44fe69c7656fd"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html#a68d4b5d3b1dc16872df44fe69c7656fd">viennacl::circulant_matrix::operator()</a></div><div class="ttdeci">entry_proxy< NumericT > operator()(vcl_size_t row_index, vcl_size_t col_index)</div><div class="ttdoc">Read-write access to a single element of the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00113">circulant_matrix.hpp:113</a></div></div>
<div class="ttc" id="classviennacl_1_1circulant__matrix_html_aee698efb56fc69c182d2c8198195bc1c"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html#aee698efb56fc69c182d2c8198195bc1c">viennacl::circulant_matrix::circulant_matrix</a></div><div class="ttdeci">circulant_matrix()</div><div class="ttdoc">The default constructor. Does not allocate any memory. </div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00051">circulant_matrix.hpp:51</a></div></div>
<div class="ttc" id="backend_8hpp_html"><div class="ttname"><a href="backend_8hpp.html">backend.hpp</a></div><div class="ttdoc">Implementations of the OpenCL backend, where all contexts are stored in. </div></div>
<div class="ttc" id="classviennacl_1_1circulant__matrix_html_abb83d9c50ddca22724afc7e806dede27"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html#abb83d9c50ddca22724afc7e806dede27">viennacl::circulant_matrix::handle</a></div><div class="ttdeci">handle_type const & handle() const </div><div class="ttdoc">Returns the OpenCL handle. </div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00080">circulant_matrix.hpp:80</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="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_1backend_1_1mem__handle_html"><div class="ttname"><a href="classviennacl_1_1backend_1_1mem__handle.html">viennacl::backend::mem_handle</a></div><div class="ttdoc">Main abstraction class for multiple memory domains. Represents a buffer in either main RAM...</div><div class="ttdef"><b>Definition:</b> <a href="mem__handle_8hpp_source.html#l00089">mem_handle.hpp:89</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="classviennacl_1_1circulant__matrix_html_af9dc083557c04773ea76ae24d0ef9f5b"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html#af9dc083557c04773ea76ae24d0ef9f5b">viennacl::circulant_matrix::circulant_matrix</a></div><div class="ttdeci">circulant_matrix(vcl_size_t rows, vcl_size_t cols)</div><div class="ttdoc">Creates the matrix with the given size. </div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00059">circulant_matrix.hpp:59</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="namespaceviennacl_1_1linalg_html_aafc6db8d806f67c24f93eaaded84b853"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#aafc6db8d806f67c24f93eaaded84b853">viennacl::linalg::prod_impl</a></div><div class="ttdeci">void prod_impl(const matrix_base< NumericT > &mat, const vector_base< NumericT > &vec, vector_base< NumericT > &result)</div><div class="ttdoc">Carries out matrix-vector multiplication. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__operations_8hpp_source.html#l00438">matrix_operations.hpp:438</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html_a47350ccdc4b0a24eaea0e8d5f9fe7fec"><div class="ttname"><a href="classviennacl_1_1vector__base.html#a47350ccdc4b0a24eaea0e8d5f9fe7fec">viennacl::vector_base::internal_size</a></div><div class="ttdeci">size_type internal_size() const </div><div class="ttdoc">Returns the internal length of the vector, which is given by size() plus the extra memory due to padd...</div><div class="ttdef"><b>Definition:</b> <a href="vector__def_8hpp_source.html#l00120">vector_def.hpp:120</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_ae39853b7f291a697e119a139439178fb"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#ae39853b7f291a697e119a139439178fb">viennacl::traits::handle</a></div><div class="ttdeci">viennacl::backend::mem_handle & handle(T &obj)</div><div class="ttdoc">Returns the generic memory handle of an object. Non-const version. </div><div class="ttdef"><b>Definition:</b> <a href="traits_2handle_8hpp_source.html#l00041">handle.hpp:41</a></div></div>
<div class="ttc" id="classviennacl_1_1entry__proxy_html"><div class="ttname"><a href="classviennacl_1_1entry__proxy.html">viennacl::entry_proxy</a></div><div class="ttdoc">A proxy class for a single element of a vector or matrix. This proxy should not be noticed by end-use...</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00233">forwards.h:233</a></div></div>
<div class="ttc" id="structop__assign_html"><div class="ttname"><a href="structop__assign.html">op_assign</a></div><div class="ttdef"><b>Definition:</b> <a href="self__assign_8cpp_source.html#l00132">self_assign.cpp:132</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html_a64e98aea5aa298ad63e3832a04c19648"><div class="ttname"><a href="classviennacl_1_1vector__base.html#a64e98aea5aa298ad63e3832a04c19648">viennacl::vector_base::handle</a></div><div class="ttdeci">const handle_type & handle() const </div><div class="ttdoc">Returns the memory handle. </div><div class="ttdef"><b>Definition:</b> <a href="vector__def_8hpp_source.html#l00128">vector_def.hpp:128</a></div></div>
<div class="ttc" id="classviennacl_1_1circulant__matrix_html_a5ac9825eefabd3ceee675d498446b33e"><div class="ttname"><a href="classviennacl_1_1circulant__matrix.html#a5ac9825eefabd3ceee675d498446b33e">viennacl::circulant_matrix::operator+=</a></div><div class="ttdeci">circulant_matrix< NumericT, AlignmentV > & operator+=(circulant_matrix< NumericT, AlignmentV > &that)</div><div class="ttdoc">+= operation for circulant matrices </div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00130">circulant_matrix.hpp:130</a></div></div>
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