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<div class="title">spai.hpp</div> </div>
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<a href="spai_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_SPAI_HPP</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_SPAI_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="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <utility></span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <fstream></span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <string></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include <algorithm></span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include <math.h></span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include <map></span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// ViennaCL includes</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include "<a class="code" href="spai__tag_8hpp.html">viennacl/linalg/detail/spai/spai_tag.hpp</a>"</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "<a class="code" href="qr_8hpp.html">viennacl/linalg/qr.hpp</a>"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#include "<a class="code" href="spai-dynamic_8hpp.html">viennacl/linalg/detail/spai/spai-dynamic.hpp</a>"</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#include "<a class="code" href="spai-static_8hpp.html">viennacl/linalg/detail/spai/spai-static.hpp</a>"</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#include "<a class="code" href="sparse__vector_8hpp.html">viennacl/linalg/detail/spai/sparse_vector.hpp</a>"</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#include "<a class="code" href="block__matrix_8hpp.html">viennacl/linalg/detail/spai/block_matrix.hpp</a>"</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include "<a class="code" href="block__vector_8hpp.html">viennacl/linalg/detail/spai/block_vector.hpp</a>"</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#include "<a class="code" href="fspai_8hpp.html">viennacl/linalg/detail/spai/fspai.hpp</a>"</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#include "<a class="code" href="detail_2spai_2spai_8hpp.html">viennacl/linalg/detail/spai/spai.hpp</a>"</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment">//boost includes</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor">#include "boost/numeric/ublas/vector.hpp"</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix.hpp"</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix_proxy.hpp"</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor">#include "boost/numeric/ublas/vector_proxy.hpp"</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor">#include "boost/numeric/ublas/storage.hpp"</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="preprocessor">#include "boost/numeric/ublas/io.hpp"</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="preprocessor">#include "boost/numeric/ublas/lu.hpp"</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="preprocessor">#include "boost/numeric/ublas/triangular.hpp"</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix_expression.hpp"</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> </div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="keyword">namespace </span>viennacl</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="keyword">namespace </span>linalg</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"><a class="line" href="namespaceviennacl_1_1linalg.html#a1938ef67659d8ba96e9b9517e680cccf"> 66</a></span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">viennacl::linalg::detail::spai::spai_tag</a> <a class="code" href="namespaceviennacl_1_1linalg.html#a1938ef67659d8ba96e9b9517e680cccf">spai_tag</a>;</div>
<div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#ab87a5b5e7c60eee5c2e45f9ab21c935c"> 67</a></span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1fspai__tag.html">viennacl::linalg::detail::spai::fspai_tag</a> <a class="code" href="namespaceviennacl_1_1linalg.html#ab87a5b5e7c60eee5c2e45f9ab21c935c">fspai_tag</a>;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="comment">//UBLAS version</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType></div>
<div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1spai__precond.html"> 75</a></span>  <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1spai__precond.html">spai_precond</a></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>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1spai__precond.html#aa7f452bb409abe29b7d0835fc69728b3"> 78</a></span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::value_type <a class="code" href="classviennacl_1_1linalg_1_1spai__precond.html#aa7f452bb409abe29b7d0835fc69728b3">ScalarType</a>;</div>
<div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1spai__precond.html#a6f10195cff888f10be69814616c6c4a0"> 79</a></span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> boost::numeric::ublas::vector<ScalarType> <a class="code" href="classviennacl_1_1linalg_1_1spai__precond.html#a6f10195cff888f10be69814616c6c4a0">VectorType</a>;</div>
<div class="line"><a name="l00084"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1spai__precond.html#a4a39605607ecf9095fad66426b11580e"> 84</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1spai__precond.html#a4a39605607ecf9095fad66426b11580e">spai_precond</a>(<span class="keyword">const</span> MatrixType& A,</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">spai_tag</a>& tag): tag_(tag){</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="comment">//VCLMatrixType vcl_Ap((unsigned int)A.size2(), (unsigned int)A.size1()), vcl_A((unsigned int)A.size1(), (unsigned int)A.size2()),</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">//vcl_At((unsigned int)A.size1(), (unsigned int)A.size2());</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="comment">//UBLASDenseMatrixType dA = A;</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  MatrixType pA(A.size1(), A.size2());</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  MatrixType At;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="comment">//std::cout<<A<<std::endl;</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">if</span> (!tag_.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a218b5983408949dcb57b7008f1721170">getIsRight</a>()){</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a934fa8b447e7836d4c9be2dd40c35390">viennacl::linalg::detail::spai::sparse_transpose</a>(A, At);</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  }<span class="keywordflow">else</span>{</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  At = A;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  pA = At;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab8477f662432b03c92b4287e3a4db3d6">viennacl::linalg::detail::spai::initPreconditioner</a>(pA, spai_m_);</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4d52c5d84eb0f23619d0129c50412e82">viennacl::linalg::detail::spai::computeSPAI</a>(At, spai_m_, tag_);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">//(At, pA, tag_.getIsRight(), tag_.getIsStatic(), (ScalarType)_tag.getResidualNormThreshold(), (unsigned int)_tag.getIterationLimit(),</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="comment">//_spai_m);</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  }</div>
<div class="line"><a name="l00108"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1spai__precond.html#a3d149f1afa7719c358c7415f2f306e14"> 108</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1spai__precond.html#a3d149f1afa7719c358c7415f2f306e14">apply</a>(<a class="code" href="classviennacl_1_1linalg_1_1spai__precond.html#a6f10195cff888f10be69814616c6c4a0">VectorType</a>& vec)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  vec = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(spai_m_, vec);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  }</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="comment">// variables</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">spai_tag</a> tag_;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">// result of SPAI</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  MatrixType spai_m_;</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> </div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="comment">//VIENNACL version</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> MAT_ALIGNMENT></div>
<div class="line"><a name="l00124"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1spai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00_85d4c7cd827146fed2347215919b14e6.html"> 124</a></span>  <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1spai__precond.html">spai_precond</a>< viennacl::<a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix</a><ScalarType, MAT_ALIGNMENT> ></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  {</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<ScalarType, MAT_ALIGNMENT></a> <a class="code" href="classviennacl_1_1compressed__matrix.html">MatrixType</a>;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keyword">typedef</span> boost::numeric::ublas::compressed_matrix<ScalarType> UBLASSparseMatrixType;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> <a class="code" href="classviennacl_1_1linalg_1_1spai__precond.html#a6f10195cff888f10be69814616c6c4a0">VectorType</a>;</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> <a class="code" href="classviennacl_1_1matrix.html">VCLDenseMatrixType</a>;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> </div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keyword">typedef</span> boost::numeric::ublas::vector<ScalarType> UBLASVectorType;</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> </div>
<div class="line"><a name="l00138"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1spai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00_85d4c7cd827146fed2347215919b14e6.html#a964acb6fb9cda96c9ff15ad9e60dadb4"> 138</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1spai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00_85d4c7cd827146fed2347215919b14e6.html#a964acb6fb9cda96c9ff15ad9e60dadb4">spai_precond</a>(<span class="keyword">const</span> <a class="code" href="classviennacl_1_1compressed__matrix.html">MatrixType</a>& A,</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">spai_tag</a>& tag): tag_(tag), spai_m_(viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A))</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  {</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <a class="code" href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a> & ctx = <span class="keyword">const_cast<</span><a class="code" href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a> &<span class="keyword">></span>(viennacl::traits::opencl_handle(A).context());</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1spai.html#acc7e921176d6dffe6cad7a796413b6b5">viennacl::linalg::opencl::kernels::spai<ScalarType>::init</a>(ctx);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> </div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">MatrixType</a> At(A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a463cf1739f9cdd387aa185cb574db183">size1</a>(), A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">size2</a>(), <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::context</a>(ctx));</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  UBLASSparseMatrixType ubls_A(A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a463cf1739f9cdd387aa185cb574db183">size1</a>(), A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">size2</a>()), ubls_spai_m;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  UBLASSparseMatrixType ubls_At;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(A, ubls_A);</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">if</span> (!tag_.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a218b5983408949dcb57b7008f1721170">getIsRight</a>()){</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a934fa8b447e7836d4c9be2dd40c35390">viennacl::linalg::detail::spai::sparse_transpose</a>(ubls_A, ubls_At);</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  }</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordflow">else</span>{</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  ubls_At = ubls_A;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  }</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="comment">//current pattern is A</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="comment">//pA = ubls_At;</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="comment">//execute SPAI with ublas matrix types</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab8477f662432b03c92b4287e3a4db3d6">viennacl::linalg::detail::spai::initPreconditioner</a>(ubls_At, ubls_spai_m);</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ubls_At, At);</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4d52c5d84eb0f23619d0129c50412e82">viennacl::linalg::detail::spai::computeSPAI</a>(At, ubls_At, ubls_spai_m, spai_m_, tag_);</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="comment">//viennacl::copy(ubls_spai_m, spai_m_);</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  tmp_.resize(A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a463cf1739f9cdd387aa185cb574db183">size1</a>(), <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(A), <span class="keyword">false</span>);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  }</div>
<div class="line"><a name="l00166"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1spai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00_85d4c7cd827146fed2347215919b14e6.html#aabfc6ef7298c66e9189107614fe1a297"> 166</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1spai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00_85d4c7cd827146fed2347215919b14e6.html#aabfc6ef7298c66e9189107614fe1a297">apply</a>(<a class="code" href="classviennacl_1_1vector.html">VectorType</a>& vec)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  tmp_ = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(spai_m_, vec);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  vec = tmp_;</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  }</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="comment">// variables</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">spai_tag</a> tag_;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="comment">// result of SPAI</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  MatrixType spai_m_;</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keyword">mutable</span> <a class="code" href="classviennacl_1_1linalg_1_1spai__precond.html#a6f10195cff888f10be69814616c6c4a0">VectorType</a> tmp_;</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  };</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> </div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> </div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="comment">// FSPAI</span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> </div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="comment">//UBLAS version</span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType></div>
<div class="line"><a name="l00189"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1fspai__precond.html"> 189</a></span>  <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1fspai__precond.html">fspai_precond</a></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  {</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::value_type ScalarType;</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> boost::numeric::ublas::vector<ScalarType> VectorType;</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> boost::numeric::ublas::matrix<ScalarType> UBLASDenseMatrixType;</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> <a class="code" href="classviennacl_1_1matrix.html">VCLMatrixType</a>;</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> </div>
<div class="line"><a name="l00201"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1fspai__precond.html#af2a991afb8af9777a6fadeda1dc20bb0"> 201</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1fspai__precond.html#af2a991afb8af9777a6fadeda1dc20bb0">fspai_precond</a>(<span class="keyword">const</span> MatrixType& A,</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1fspai__tag.html">fspai_tag</a>& tag): tag_(tag)</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  {</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  MatrixType pA = A;</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a23b282bb53b72b43e7f76d9aeb3df64b">viennacl::linalg::detail::spai::computeFSPAI</a>(A, pA, L, L_trans, tag_);</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  }</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> </div>
<div class="line"><a name="l00211"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1fspai__precond.html#ada7479eb6d4dff93c55b28ff6a2b6290"> 211</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1fspai__precond.html#ada7479eb6d4dff93c55b28ff6a2b6290">apply</a>(VectorType& vec)<span class="keyword"> const</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  VectorType temp = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(L_trans, vec);</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  vec = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(L, temp);</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="keyword">private</span>:</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="comment">// variables</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1fspai__tag.html">fspai_tag</a> & tag_;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="comment">// result of SPAI</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  MatrixType L;</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  MatrixType L_trans;</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  };</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> </div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> </div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> </div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> </div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> </div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="comment">// ViennaCL version</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> <span class="comment"></span> <span class="keyword">template</span><<span class="keyword">typename</span> ScalarType, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> MAT_ALIGNMENT></div>
<div class="line"><a name="l00237"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1fspai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00e2257d431089a1252a9a2c07955b0dee.html"> 237</a></span>  <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1fspai__precond.html">fspai_precond</a>< viennacl::<a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix</a><ScalarType, MAT_ALIGNMENT> ></div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  {</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<ScalarType, MAT_ALIGNMENT></a> <a class="code" href="classviennacl_1_1compressed__matrix.html">MatrixType</a>;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> <a class="code" href="classviennacl_1_1vector.html">VectorType</a>;</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> <a class="code" href="classviennacl_1_1matrix.html">VCLDenseMatrixType</a>;</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keyword">typedef</span> boost::numeric::ublas::compressed_matrix<ScalarType> UBLASSparseMatrixType;</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keyword">typedef</span> boost::numeric::ublas::vector<ScalarType> UBLASVectorType;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> </div>
<div class="line"><a name="l00250"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1fspai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00e2257d431089a1252a9a2c07955b0dee.html#a5ca3a1d355a5cd124df71d19caf15cd2"> 250</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1fspai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00e2257d431089a1252a9a2c07955b0dee.html#a5ca3a1d355a5cd124df71d19caf15cd2">fspai_precond</a>(<span class="keyword">const</span> <a class="code" href="classviennacl_1_1compressed__matrix.html">MatrixType</a> & A,</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1fspai__tag.html">fspai_tag</a> & tag) : tag_(tag), L(viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A)), L_trans(viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A)), temp_apply_vec_(A.<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>(), viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A))</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="comment">//UBLASSparseMatrixType ubls_A;</span></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  UBLASSparseMatrixType ublas_A(A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a463cf1739f9cdd387aa185cb574db183">size1</a>(), A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">size2</a>());</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  UBLASSparseMatrixType pA(A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a463cf1739f9cdd387aa185cb574db183">size1</a>(), A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">size2</a>());</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  UBLASSparseMatrixType ublas_L(A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a463cf1739f9cdd387aa185cb574db183">size1</a>(), A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">size2</a>());</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  UBLASSparseMatrixType ublas_L_trans(A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a463cf1739f9cdd387aa185cb574db183">size1</a>(), A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">size2</a>());</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(A, ublas_A);</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="comment">//viennacl::copy(ubls_A, vcl_A);</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="comment">//vcl_At = viennacl::linalg::prod(vcl_A, vcl_A);</span></div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="comment">//vcl_pA = viennacl::linalg::prod(vcl_A, vcl_At);</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="comment">//viennacl::copy(vcl_pA, pA);</span></div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  pA = ublas_A;</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="comment">//execute SPAI with ublas matrix types</span></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a23b282bb53b72b43e7f76d9aeb3df64b">viennacl::linalg::detail::spai::computeFSPAI</a>(ublas_A, pA, ublas_L, ublas_L_trans, tag_);</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="comment">//copy back to GPU</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_L, L);</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(ublas_L_trans, L_trans);</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  }</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> </div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> </div>
<div class="line"><a name="l00275"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1fspai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00e2257d431089a1252a9a2c07955b0dee.html#ac39fe59b002046bad18391dd6f465449"> 275</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1fspai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00e2257d431089a1252a9a2c07955b0dee.html#ac39fe59b002046bad18391dd6f465449">apply</a>(<a class="code" href="classviennacl_1_1vector.html">VectorType</a>& vec)<span class="keyword"> const</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  temp_apply_vec_ = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(L_trans, vec);</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  vec = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(L, temp_apply_vec_);</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  }</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="keyword">private</span>:</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="comment">// variables</span></div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1fspai__tag.html">fspai_tag</a> & tag_;</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  MatrixType L;</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  MatrixType L_trans;</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="keyword">mutable</span> VectorType temp_apply_vec_;</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> </div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span> </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> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html_a4fc12fc4abfef4a1426575a2d73f18ab"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">viennacl::compressed_matrix::size2</a></div><div class="ttdeci">const vcl_size_t & size2() const </div><div class="ttdoc">Returns the number of columns. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00929">compressed_matrix.hpp:929</a></div></div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html_a463cf1739f9cdd387aa185cb574db183"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html#a463cf1739f9cdd387aa185cb574db183">viennacl::compressed_matrix::size1</a></div><div class="ttdeci">const vcl_size_t & size1() const </div><div class="ttdoc">Returns the number of rows. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00927">compressed_matrix.hpp:927</a></div></div>
<div class="ttc" id="prod_8hpp_html"><div class="ttname"><a href="prod_8hpp.html">prod.hpp</a></div><div class="ttdoc">Generic interface for matrix-vector and matrix-matrix products. See viennacl/linalg/vector_operations...</div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a934fa8b447e7836d4c9be2dd40c35390"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a934fa8b447e7836d4c9be2dd40c35390">viennacl::linalg::detail::spai::sparse_transpose</a></div><div class="ttdeci">void sparse_transpose(MatrixT const &A_in, MatrixT &A)</div><div class="ttdoc">Transposition of sparse matrix. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00640">spai.hpp:640</a></div></div>
<div class="ttc" id="fspai_8hpp_html"><div class="ttname"><a href="fspai_8hpp.html">fspai.hpp</a></div><div class="ttdoc">Implementation of FSPAI. Experimental. </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="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a4d52c5d84eb0f23619d0129c50412e82"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4d52c5d84eb0f23619d0129c50412e82">viennacl::linalg::detail::spai::computeSPAI</a></div><div class="ttdeci">void computeSPAI(MatrixT const &A, MatrixT &M, spai_tag &tag)</div><div class="ttdoc">Construction of SPAI preconditioner on CPU. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00686">spai.hpp:686</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1context_html"><div class="ttname"><a href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a></div><div class="ttdoc">Manages an OpenCL context and provides the respective convenience functions for creating buffers...</div><div class="ttdef"><b>Definition:</b> <a href="ocl_2context_8hpp_source.html#l00055">context.hpp:55</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix_html"><div class="ttname"><a href="classviennacl_1_1matrix.html">viennacl::matrix</a></div><div class="ttdoc">A dense matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00375">forwards.h:375</a></div></div>
<div class="ttc" id="detail_2spai_2spai_8hpp_html"><div class="ttname"><a href="detail_2spai_2spai_8hpp.html">spai.hpp</a></div><div class="ttdoc">Main implementation of SPAI (not FSPAI). Experimental. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">viennacl::linalg::detail::spai::spai_tag</a></div><div class="ttdoc">A tag for SPAI. </div><div class="ttdef"><b>Definition:</b> <a href="spai__tag_8hpp_source.html#l00064">spai_tag.hpp:64</a></div></div>
<div class="ttc" id="sparse__vector_8hpp_html"><div class="ttname"><a href="sparse__vector_8hpp.html">sparse_vector.hpp</a></div><div class="ttdoc">Implementation of a helper sparse vector class for SPAI. Experimental. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1spai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00_85d4c7cd827146fed2347215919b14e6_html_aabfc6ef7298c66e9189107614fe1a297"><div class="ttname"><a href="classviennacl_1_1linalg_1_1spai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00_85d4c7cd827146fed2347215919b14e6.html#aabfc6ef7298c66e9189107614fe1a297">viennacl::linalg::spai_precond< viennacl::compressed_matrix< ScalarType, MAT_ALIGNMENT > >::apply</a></div><div class="ttdeci">void apply(VectorType &vec) const </div><div class="ttdoc">Application of current preconditioner, multiplication on the right-hand side vector. </div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00166">spai.hpp:166</a></div></div>
<div class="ttc" id="classviennacl_1_1context_html"><div class="ttname"><a href="classviennacl_1_1context.html">viennacl::context</a></div><div class="ttdoc">Represents a generic 'context' similar to an OpenCL context, but is backend-agnostic and thus also su...</div><div class="ttdef"><b>Definition:</b> <a href="context_8hpp_source.html#l00039">context.hpp:39</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1spai__precond_html_a3d149f1afa7719c358c7415f2f306e14"><div class="ttname"><a href="classviennacl_1_1linalg_1_1spai__precond.html#a3d149f1afa7719c358c7415f2f306e14">viennacl::linalg::spai_precond::apply</a></div><div class="ttdeci">void apply(VectorType &vec) const </div><div class="ttdoc">Application of current preconditioner, multiplication on the right-hand side vector. </div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00108">spai.hpp:108</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_aa18d10f8a90e38bd9ff43c650fc670ef"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a></div><div class="ttdeci">VectorT prod(std::vector< std::vector< T, A1 >, A2 > const &matrix, VectorT const &vector)</div><div class="ttdef"><b>Definition:</b> <a href="prod_8hpp_source.html#l00102">prod.hpp:102</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1fspai__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1fspai__tag.html">viennacl::linalg::detail::spai::fspai_tag</a></div><div class="ttdoc">A tag for FSPAI. Experimental. </div><div class="ttdef"><b>Definition:</b> <a href="fspai_8hpp_source.html#l00071">fspai.hpp:71</a></div></div>
<div class="ttc" id="block__matrix_8hpp_html"><div class="ttname"><a href="block__matrix_8hpp.html">block_matrix.hpp</a></div><div class="ttdoc">Implementation of a bunch of (small) matrices on GPU. Experimental. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1fspai__precond_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1fspai__precond.html">viennacl::linalg::fspai_precond</a></div><div class="ttdoc">Implementation of the Factored SParse Approximate Inverse Algorithm for a generic, uBLAS-compatible matrix type. </div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00189">spai.hpp:189</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1spai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00_85d4c7cd827146fed2347215919b14e6_html_a964acb6fb9cda96c9ff15ad9e60dadb4"><div class="ttname"><a href="classviennacl_1_1linalg_1_1spai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00_85d4c7cd827146fed2347215919b14e6.html#a964acb6fb9cda96c9ff15ad9e60dadb4">viennacl::linalg::spai_precond< viennacl::compressed_matrix< ScalarType, MAT_ALIGNMENT > >::spai_precond</a></div><div class="ttdeci">spai_precond(const MatrixType &A, const spai_tag &tag)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00138">spai.hpp:138</a></div></div>
<div class="ttc" id="spai-static_8hpp_html"><div class="ttname"><a href="spai-static_8hpp.html">spai-static.hpp</a></div><div class="ttdoc">Implementation of a static SPAI. Experimental. </div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ab87a5b5e7c60eee5c2e45f9ab21c935c"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ab87a5b5e7c60eee5c2e45f9ab21c935c">viennacl::linalg::fspai_tag</a></div><div class="ttdeci">viennacl::linalg::detail::spai::fspai_tag fspai_tag</div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00067">spai.hpp:67</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag_html_a218b5983408949dcb57b7008f1721170"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a218b5983408949dcb57b7008f1721170">viennacl::linalg::detail::spai::spai_tag::getIsRight</a></div><div class="ttdeci">bool getIsRight() const </div><div class="ttdef"><b>Definition:</b> <a href="spai__tag_8hpp_source.html#l00094">spai_tag.hpp:94</a></div></div>
<div class="ttc" id="block__vector_8hpp_html"><div class="ttname"><a href="block__vector_8hpp.html">block_vector.hpp</a></div><div class="ttdoc">Implementation of a bunch of vectors on GPU. Experimental. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1spai__precond_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1spai__precond.html">viennacl::linalg::spai_precond</a></div><div class="ttdoc">Implementation of the SParse Approximate Inverse Algorithm for a generic, uBLAS-compatible matrix typ...</div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00075">spai.hpp:75</a></div></div>
<div class="ttc" id="qr_8hpp_html"><div class="ttname"><a href="qr_8hpp.html">qr.hpp</a></div><div class="ttdoc">Provides a QR factorization using a block-based approach. </div></div>
<div class="ttc" id="spai__tag_8hpp_html"><div class="ttname"><a href="spai__tag_8hpp.html">spai_tag.hpp</a></div><div class="ttdoc">Implementation of the spai tag holding SPAI configuration parameters. Experimental. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1spai__precond_html_a4a39605607ecf9095fad66426b11580e"><div class="ttname"><a href="classviennacl_1_1linalg_1_1spai__precond.html#a4a39605607ecf9095fad66426b11580e">viennacl::linalg::spai_precond::spai_precond</a></div><div class="ttdeci">spai_precond(const MatrixType &A, const spai_tag &tag)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00084">spai.hpp:84</a></div></div>
<div class="ttc" id="classviennacl_1_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector< ScalarType ></a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1spai__precond_html_aa7f452bb409abe29b7d0835fc69728b3"><div class="ttname"><a href="classviennacl_1_1linalg_1_1spai__precond.html#aa7f452bb409abe29b7d0835fc69728b3">viennacl::linalg::spai_precond::ScalarType</a></div><div class="ttdeci">MatrixType::value_type ScalarType</div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00078">spai.hpp:78</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1fspai__precond_html_af2a991afb8af9777a6fadeda1dc20bb0"><div class="ttname"><a href="classviennacl_1_1linalg_1_1fspai__precond.html#af2a991afb8af9777a6fadeda1dc20bb0">viennacl::linalg::fspai_precond::fspai_precond</a></div><div class="ttdeci">fspai_precond(const MatrixType &A, const fspai_tag &tag)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00201">spai.hpp:201</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1spai__precond_html_a6f10195cff888f10be69814616c6c4a0"><div class="ttname"><a href="classviennacl_1_1linalg_1_1spai__precond.html#a6f10195cff888f10be69814616c6c4a0">viennacl::linalg::spai_precond::VectorType</a></div><div class="ttdeci">boost::numeric::ublas::vector< ScalarType > VectorType</div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00079">spai.hpp:79</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a6707f5dab8f482170d2046a605f46ef8"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a></div><div class="ttdeci">viennacl::context context(T const &t)</div><div class="ttdoc">Returns an ID for the currently active memory domain of an object. </div><div class="ttdef"><b>Definition:</b> <a href="traits_2context_8hpp_source.html#l00040">context.hpp:40</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1fspai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00e2257d431089a1252a9a2c07955b0dee_html_a5ca3a1d355a5cd124df71d19caf15cd2"><div class="ttname"><a href="classviennacl_1_1linalg_1_1fspai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00e2257d431089a1252a9a2c07955b0dee.html#a5ca3a1d355a5cd124df71d19caf15cd2">viennacl::linalg::fspai_precond< viennacl::compressed_matrix< ScalarType, MAT_ALIGNMENT > >::fspai_precond</a></div><div class="ttdeci">fspai_precond(const MatrixType &A, const fspai_tag &tag)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00250">spai.hpp:250</a></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_1linalg_1_1fspai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00e2257d431089a1252a9a2c07955b0dee_html_ac39fe59b002046bad18391dd6f465449"><div class="ttname"><a href="classviennacl_1_1linalg_1_1fspai__precond_3_01viennacl_1_1compressed__matrix_3_01_scalar_type_00e2257d431089a1252a9a2c07955b0dee.html#ac39fe59b002046bad18391dd6f465449">viennacl::linalg::fspai_precond< viennacl::compressed_matrix< ScalarType, MAT_ALIGNMENT > >::apply</a></div><div class="ttdeci">void apply(VectorType &vec) const </div><div class="ttdoc">Application of current preconditioner, multiplication on the right-hand side vector. </div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00275">spai.hpp:275</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1spai_html_acc7e921176d6dffe6cad7a796413b6b5"><div class="ttname"><a href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1spai.html#acc7e921176d6dffe6cad7a796413b6b5">viennacl::linalg::opencl::kernels::spai::init</a></div><div class="ttdeci">static void init(viennacl::ocl::context &ctx)</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2spai_8hpp_source.html#l00594">spai.hpp:594</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a23b282bb53b72b43e7f76d9aeb3df64b"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a23b282bb53b72b43e7f76d9aeb3df64b">viennacl::linalg::detail::spai::computeFSPAI</a></div><div class="ttdeci">void computeFSPAI(MatrixT const &A, MatrixT const &PatternA, MatrixT &L, MatrixT &L_trans, fspai_tag)</div><div class="ttdef"><b>Definition:</b> <a href="fspai_8hpp_source.html#l00313">fspai.hpp:313</a></div></div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix</a></div><div class="ttdoc">A sparse square matrix in compressed sparse rows format. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00559">compressed_matrix.hpp:559</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1fspai__precond_html_ada7479eb6d4dff93c55b28ff6a2b6290"><div class="ttname"><a href="classviennacl_1_1linalg_1_1fspai__precond.html#ada7479eb6d4dff93c55b28ff6a2b6290">viennacl::linalg::fspai_precond::apply</a></div><div class="ttdeci">void apply(VectorType &vec) const </div><div class="ttdoc">Application of current preconditioner, multiplication on the right-hand side vector. </div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00211">spai.hpp:211</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_ab8477f662432b03c92b4287e3a4db3d6"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab8477f662432b03c92b4287e3a4db3d6">viennacl::linalg::detail::spai::initPreconditioner</a></div><div class="ttdeci">void initPreconditioner(SparseMatrixT const &A, SparseMatrixT &M)</div><div class="ttdoc">Initialize preconditioner with sparcity pattern = p(A) </div><div class="ttdef"><b>Definition:</b> <a href="spai-static_8hpp_source.html#l00154">spai-static.hpp:154</a></div></div>
<div class="ttc" id="spai-dynamic_8hpp_html"><div class="ttname"><a href="spai-dynamic_8hpp.html">spai-dynamic.hpp</a></div><div class="ttdoc">Implementation of a dynamic SPAI. Provides the routines for automatic pattern updates Experimental...</div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a1938ef67659d8ba96e9b9517e680cccf"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a1938ef67659d8ba96e9b9517e680cccf">viennacl::linalg::spai_tag</a></div><div class="ttdeci">viennacl::linalg::detail::spai::spai_tag spai_tag</div><div class="ttdef"><b>Definition:</b> <a href="spai_8hpp_source.html#l00066">spai.hpp:66</a></div></div>
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