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<div class="title">toeplitz_matrix_operations.hpp</div> </div>
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<a href="toeplitz__matrix__operations_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_LINALG_TOEPLITZ_MATRIX_OPERATIONS_HPP_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_TOEPLITZ_MATRIX_OPERATIONS_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="backend_8hpp.html">viennacl/ocl/backend.hpp</a>"</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="scalar_8hpp.html">viennacl/scalar.hpp</a>"</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>"</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="tools_8hpp.html">viennacl/tools/tools.hpp</a>"</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="fft_8hpp.html">viennacl/fft.hpp</a>"</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> {</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  {</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="comment">// A * x</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keyword">template</span><<span class="keyword">class</span> SCALARTYPE, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ALIGNMENT></div>
<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#ae45beece755553455daea6973a60043d"> 49</a></span>  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg.html#aafc6db8d806f67c24f93eaaded84b853">prod_impl</a>(<span class="keyword">const</span> <a class="code" href="classviennacl_1_1toeplitz__matrix.html">viennacl::toeplitz_matrix<SCALARTYPE, ALIGNMENT></a> & mat,</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<SCALARTYPE></a> & vec,</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<SCALARTYPE></a> & result)</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  assert(mat.<a class="code" href="classviennacl_1_1toeplitz__matrix.html#a02da032567325736d8e42a0f1afc1434">size1</a>() == result.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>());</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  assert(mat.<a class="code" href="classviennacl_1_1toeplitz__matrix.html#a27e7ab687472d5590f0b758ac7bf721a">size2</a>() == vec.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>());</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<SCALARTYPE></a> tmp(vec.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() * 4); tmp.<a class="code" href="classviennacl_1_1vector__base.html#abf5acd243b2b1571cc7a486e89485ca0">clear</a>();</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<SCALARTYPE></a> tmp2(vec.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() * 4);</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="classviennacl_1_1vector.html">viennacl::vector<SCALARTYPE></a> tep(mat.<a class="code" href="classviennacl_1_1toeplitz__matrix.html#a246b15c08c8f7c6bcd0d90c3ef62d230">elements</a>().<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() * 2);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ab46594affa4b4f500660ea741cc1582a">viennacl::linalg::real_to_complex</a>(mat.<a class="code" href="classviennacl_1_1toeplitz__matrix.html#a246b15c08c8f7c6bcd0d90c3ef62d230">elements</a>(), tep, mat.<a class="code" href="classviennacl_1_1toeplitz__matrix.html#a246b15c08c8f7c6bcd0d90c3ef62d230">elements</a>().<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>());</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> </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>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vec.<a class="code" href="classviennacl_1_1vector__base.html#a762d98e2f912fc534951f25555b6077f">begin</a>(), vec.<a class="code" href="classviennacl_1_1vector__base.html#aba8a76bd4c96435ba68cf96b9e5132a6">end</a>(), tmp.begin());</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ab46594affa4b4f500660ea741cc1582a">viennacl::linalg::real_to_complex</a>(tmp, tmp2, vec.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() * 2);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="fft__1d_8cpp.html#a74945fbb0428589ce1c9c4723865158e">viennacl::linalg::convolve</a>(tep, tmp2, tmp);</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a45f767da9ec63fd7e37c1fae58dc2727">viennacl::linalg::complex_to_real</a>(tmp, tmp2, vec.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() * 2);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(tmp2.begin(), tmp2.begin() + <span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#afad612e26a65487b7e747c18c678ffd9">vcl_ptrdiff_t</a><span class="keyword">></span>(vec.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>()), result.<a class="code" href="classviennacl_1_1vector__base.html#a762d98e2f912fc534951f25555b6077f">begin</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="l00071"></a><span class="lineno"> 71</span>  } <span class="comment">//namespace linalg</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> </div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> } <span class="comment">//namespace viennacl</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> </div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> </div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="tools_8hpp_html"><div class="ttname"><a href="tools_8hpp.html">tools.hpp</a></div><div class="ttdoc">Various little tools used here and there in ViennaCL. </div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ab46594affa4b4f500660ea741cc1582a"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ab46594affa4b4f500660ea741cc1582a">viennacl::linalg::real_to_complex</a></div><div class="ttdeci">void real_to_complex(viennacl::vector_base< NumericT > const &in, viennacl::vector_base< NumericT > &out, vcl_size_t size)</div><div class="ttdoc">Create complex vector from real vector (even elements(2*k) = real part, odd elements(2*k+1) = imagina...</div><div class="ttdef"><b>Definition:</b> <a href="fft__operations_8hpp_source.html#l00390">fft_operations.hpp:390</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a45f767da9ec63fd7e37c1fae58dc2727"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a45f767da9ec63fd7e37c1fae58dc2727">viennacl::linalg::complex_to_real</a></div><div class="ttdeci">void complex_to_real(viennacl::vector_base< NumericT > const &in, viennacl::vector_base< NumericT > &out, vcl_size_t size)</div><div class="ttdoc">Create real vector from complex vector (even elements(2*k) = real part, odd elements(2*k+1) = imagina...</div><div class="ttdef"><b>Definition:</b> <a href="fft__operations_8hpp_source.html#l00421">fft_operations.hpp:421</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_1toeplitz__matrix_html_a27e7ab687472d5590f0b758ac7bf721a"><div class="ttname"><a href="classviennacl_1_1toeplitz__matrix.html#a27e7ab687472d5590f0b758ac7bf721a">viennacl::toeplitz_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="toeplitz__matrix_8hpp_source.html#l00100">toeplitz_matrix.hpp:100</a></div></div>
<div class="ttc" id="classviennacl_1_1toeplitz__matrix_html_a02da032567325736d8e42a0f1afc1434"><div class="ttname"><a href="classviennacl_1_1toeplitz__matrix.html#a02da032567325736d8e42a0f1afc1434">viennacl::toeplitz_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="toeplitz__matrix_8hpp_source.html#l00095">toeplitz_matrix.hpp:95</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html_a762d98e2f912fc534951f25555b6077f"><div class="ttname"><a href="classviennacl_1_1vector__base.html#a762d98e2f912fc534951f25555b6077f">viennacl::vector_base::begin</a></div><div class="ttdeci">iterator begin()</div><div class="ttdoc">Returns an iterator pointing to the beginning of the vector (STL like) </div><div class="ttdef"><b>Definition:</b> <a href="vector_8hpp_source.html#l00841">vector.hpp:841</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html"><div class="ttname"><a href="classviennacl_1_1vector__base.html">viennacl::vector_base</a></div><div class="ttdoc">Common base class for dense vectors, vector ranges, and vector slices. </div><div class="ttdef"><b>Definition:</b> <a href="vector__def_8hpp_source.html#l00104">vector_def.hpp:104</a></div></div>
<div class="ttc" id="classviennacl_1_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector</a></div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00266">forwards.h:266</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_1vector__base_html_abf5acd243b2b1571cc7a486e89485ca0"><div class="ttname"><a href="classviennacl_1_1vector__base.html#abf5acd243b2b1571cc7a486e89485ca0">viennacl::vector_base::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdoc">Resets all entries to zero. Does not change the size of the vector. </div><div class="ttdef"><b>Definition:</b> <a href="vector_8hpp_source.html#l00875">vector.hpp:875</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_1toeplitz__matrix_html"><div class="ttname"><a href="classviennacl_1_1toeplitz__matrix.html">viennacl::toeplitz_matrix</a></div><div class="ttdoc">A Toeplitz matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00415">forwards.h:415</a></div></div>
<div class="ttc" id="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="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_aba8a76bd4c96435ba68cf96b9e5132a6"><div class="ttname"><a href="classviennacl_1_1vector__base.html#aba8a76bd4c96435ba68cf96b9e5132a6">viennacl::vector_base::end</a></div><div class="ttdeci">iterator end()</div><div class="ttdoc">Returns an iterator pointing to the end of the vector (STL like) </div><div class="ttdef"><b>Definition:</b> <a href="vector_8hpp_source.html#l00848">vector.hpp:848</a></div></div>
<div class="ttc" id="classviennacl_1_1toeplitz__matrix_html_a246b15c08c8f7c6bcd0d90c3ef62d230"><div class="ttname"><a href="classviennacl_1_1toeplitz__matrix.html#a246b15c08c8f7c6bcd0d90c3ef62d230">viennacl::toeplitz_matrix::elements</a></div><div class="ttdeci">viennacl::vector< NumericT, AlignmentV > & elements()</div><div class="ttdoc">Returns an internal viennacl::vector, which represents a Toeplitz matrix elements. </div><div class="ttdef"><b>Definition:</b> <a href="toeplitz__matrix_8hpp_source.html#l00088">toeplitz_matrix.hpp:88</a></div></div>
<div class="ttc" id="scalar_8hpp_html"><div class="ttname"><a href="scalar_8hpp.html">scalar.hpp</a></div><div class="ttdoc">Implementation of the ViennaCL scalar class. </div></div>
<div class="ttc" id="namespaceviennacl_html_afad612e26a65487b7e747c18c678ffd9"><div class="ttname"><a href="namespaceviennacl.html#afad612e26a65487b7e747c18c678ffd9">viennacl::vcl_ptrdiff_t</a></div><div class="ttdeci">std::ptrdiff_t vcl_ptrdiff_t</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00076">forwards.h:76</a></div></div>
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