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<div class="title">hankel_matrix_operations.hpp</div> </div>
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<a href="hankel__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_HANKEL_MATRIX_OPERATIONS_HPP_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_HANKEL_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> <span class="preprocessor">#include "<a class="code" href="toeplitz__matrix__operations_8hpp.html">viennacl/linalg/toeplitz_matrix_operations.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="l00035"></a><span class="lineno"> 35</span> <span class="keyword">namespace </span>linalg</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">typename</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#ab7df39ef1d7dacadae32160d335ffa44"> 49</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg.html#aafc6db8d806f67c24f93eaaded84b853">prod_impl</a>(<a class="code" href="classviennacl_1_1hankel__matrix.html">viennacl::hankel_matrix<NumericT, AlignmentV></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & 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<NumericT></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(A.<a class="code" href="classviennacl_1_1hankel__matrix.html#ae1fe055fd4987e7ccc9585eaa169ebb6">size1</a>() == result.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() && bool(<span class="stringliteral">"Dimension mismatch"</span>));</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  assert(A.<a class="code" href="classviennacl_1_1hankel__matrix.html#a2965b9cc1428525b503791ff404ac2f1">size2</a>() == vec.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() && bool(<span class="stringliteral">"Dimension mismatch"</span>));</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="namespaceviennacl_1_1linalg.html#aafc6db8d806f67c24f93eaaded84b853">prod_impl</a>(A.<a class="code" href="classviennacl_1_1hankel__matrix.html#a20b24d60a29462b8e683e471a1b9dbbc">elements</a>(), vec, result);</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a65decb368dc002ff34334fa0918add2b">viennacl::linalg::reverse</a>(result);</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> </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> } <span class="comment">//namespace linalg</span></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> } <span class="comment">//namespace viennacl</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="toeplitz__matrix__operations_8hpp_html"><div class="ttname"><a href="toeplitz__matrix__operations_8hpp.html">toeplitz_matrix_operations.hpp</a></div><div class="ttdoc">Implementations of operations using toeplitz_matrix. Experimental. </div></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_a65decb368dc002ff34334fa0918add2b"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a65decb368dc002ff34334fa0918add2b">viennacl::linalg::reverse</a></div><div class="ttdeci">void reverse(viennacl::vector_base< NumericT > &in)</div><div class="ttdoc">Reverse vector to oposite order and save it in input vector. </div><div class="ttdef"><b>Definition:</b> <a href="fft__operations_8hpp_source.html#l00452">fft_operations.hpp:452</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_1hankel__matrix_html"><div class="ttname"><a href="classviennacl_1_1hankel__matrix.html">viennacl::hankel_matrix</a></div><div class="ttdoc">A Hankel matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00412">forwards.h:412</a></div></div>
<div class="ttc" id="classviennacl_1_1hankel__matrix_html_a2965b9cc1428525b503791ff404ac2f1"><div class="ttname"><a href="classviennacl_1_1hankel__matrix.html#a2965b9cc1428525b503791ff404ac2f1">viennacl::hankel_matrix::size2</a></div><div class="ttdeci">vcl_size_t size2() const </div><div class="ttdoc">Returns the number of columns of the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="hankel__matrix_8hpp_source.html#l00099">hankel_matrix.hpp:99</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html"><div class="ttname"><a href="classviennacl_1_1vector__base.html">viennacl::vector_base< NumericT ></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_1hankel__matrix_html_ae1fe055fd4987e7ccc9585eaa169ebb6"><div class="ttname"><a href="classviennacl_1_1hankel__matrix.html#ae1fe055fd4987e7ccc9585eaa169ebb6">viennacl::hankel_matrix::size1</a></div><div class="ttdeci">vcl_size_t size1() const </div><div class="ttdoc">Returns the number of rows of the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="hankel__matrix_8hpp_source.html#l00094">hankel_matrix.hpp:94</a></div></div>
<div class="ttc" id="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="classviennacl_1_1hankel__matrix_html_a20b24d60a29462b8e683e471a1b9dbbc"><div class="ttname"><a href="classviennacl_1_1hankel__matrix.html#a20b24d60a29462b8e683e471a1b9dbbc">viennacl::hankel_matrix::elements</a></div><div class="ttdeci">toeplitz_matrix< NumericT, AlignmentV > & elements()</div><div class="ttdoc">Returns an internal viennacl::toeplitz_matrix, which represents a Hankel matrix elements. </div><div class="ttdef"><b>Definition:</b> <a href="hankel__matrix_8hpp_source.html#l00088">hankel_matrix.hpp:88</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="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="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>
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