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<div class="title">spai-dynamic.hpp</div> </div>
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<a href="spai-dynamic_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_DETAIL_SPAI_SPAI_DYNAMIC_HPP</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_DETAIL_SPAI_SPAI_DYNAMIC_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="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <utility></span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <fstream></span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <string></span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <algorithm></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include <math.h></span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include <map></span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">//#include "block_matrix.hpp"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">//#include "block_vector.hpp"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">//#include "benchmark-utils.hpp"</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include "boost/numeric/ublas/vector.hpp"</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix.hpp"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix_proxy.hpp"</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#include "boost/numeric/ublas/vector_proxy.hpp"</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#include "boost/numeric/ublas/storage.hpp"</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#include "boost/numeric/ublas/io.hpp"</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#include "boost/numeric/ublas/lu.hpp"</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include "boost/numeric/ublas/triangular.hpp"</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix_expression.hpp"</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment">// ViennaCL includes</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor">#include "<a class="code" href="matrix_8hpp.html">viennacl/matrix.hpp</a>"</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor">#include "<a class="code" href="compressed__matrix_8hpp.html">viennacl/compressed_matrix.hpp</a>"</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#include "<a class="code" href="sparse__matrix__operations_8hpp.html">viennacl/linalg/sparse_matrix_operations.hpp</a>"</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor">#include "<a class="code" href="matrix__operations_8hpp.html">viennacl/linalg/matrix_operations.hpp</a>"</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor">#include "<a class="code" href="scalar_8hpp.html">viennacl/scalar.hpp</a>"</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor">#include "<a class="code" href="cg_8hpp.html">viennacl/linalg/cg.hpp</a>"</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="preprocessor">#include "<a class="code" href="inner__prod_8hpp.html">viennacl/linalg/inner_prod.hpp</a>"</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="preprocessor">#include "<a class="code" href="ilu_8hpp.html">viennacl/linalg/ilu.hpp</a>"</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="preprocessor">#include "<a class="code" href="backend_8hpp.html">viennacl/ocl/backend.hpp</a>"</span></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> <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="l00060"></a><span class="lineno"> 60</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="l00061"></a><span class="lineno"> 61</span> <span class="preprocessor">#include "<a class="code" href="detail_2spai_2qr_8hpp.html">viennacl/linalg/detail/spai/qr.hpp</a>"</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</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="l00063"></a><span class="lineno"> 63</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="l00064"></a><span class="lineno"> 64</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="l00065"></a><span class="lineno"> 65</span> <span class="preprocessor">#include "<a class="code" href="opencl_2kernels_2spai_8hpp.html">viennacl/linalg/opencl/kernels/spai.hpp</a>"</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> {</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="keyword">namespace </span>linalg</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="keyword">namespace </span>detail</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> <span class="keyword">namespace </span>spai</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> {</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="structviennacl_1_1linalg_1_1detail_1_1spai_1_1_compare_second.html"> 77</a></span> <span class="keyword">struct </span><a class="code" href="structviennacl_1_1linalg_1_1detail_1_1spai_1_1_compare_second.html">CompareSecond</a></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2></div>
<div class="line"><a name="l00080"></a><span class="lineno"><a class="line" href="structviennacl_1_1linalg_1_1detail_1_1spai_1_1_compare_second.html#a4dc003569f8ac9e1a2fc0448eb26b75d"> 80</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structviennacl_1_1linalg_1_1detail_1_1spai_1_1_compare_second.html#a4dc003569f8ac9e1a2fc0448eb26b75d">operator()</a>(std::pair<T1, T2> <span class="keyword">const</span> & left, std::pair<T1, T2> <span class="keyword">const</span> & right)</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  {</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(left.second) > static_cast<double>(right.second);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  }</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> };</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT></div>
<div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4ed76d80fb1f213aa6ac3df4756a173a"> 94</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4ed76d80fb1f213aa6ac3df4756a173a">composeNewR</a>(MatrixT <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  MatrixT <span class="keyword">const</span> & R_n,</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  MatrixT & R)</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>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixT::value_type NumericType;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> </div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> row_n = R_n.size1() - (A.size1() - R.size2());</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  MatrixT C = boost::numeric::ublas::zero_matrix<NumericType>(R.size1() + row_n, R.size2() + A.size2());</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="comment">//write original R to new Composite R</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="namespaceviennacl.html#adc45a895937fe299100e2b235a442748">boost::numeric::ublas::project</a>(C, <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(0,R.size1()), <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(0, R.size2())) += R;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="comment">//write upper part of Q'*A_I_\hatJ, all columns and number of rows that equals to R.size2()</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="namespaceviennacl.html#adc45a895937fe299100e2b235a442748">boost::numeric::ublas::project</a>(C, <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(0, R.size2()), <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(R.size2(),</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  R.size2() + A.size2())) +=</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="namespaceviennacl.html#adc45a895937fe299100e2b235a442748">boost::numeric::ublas::project</a>(A, <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(0, R.size2()), <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(0, A.size2()));</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="comment">//adding decomposed(QR) block to Composite R</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">if</span> (R_n.size1() > 0 && R_n.size2() > 0)</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="namespaceviennacl.html#adc45a895937fe299100e2b235a442748">boost::numeric::ublas::project</a>(C,</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(R.size2(), R.size1() + row_n),</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(R.size2(), R.size2() + A.size2())) += R_n;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  R = C;</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="l00123"></a><span class="lineno"> 123</span> <span class="keyword">template</span><<span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00124"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a04f2cf7cafff244de64e0f5e54507963"> 124</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a04f2cf7cafff244de64e0f5e54507963">composeNewVector</a>(VectorT <span class="keyword">const</span> & v_n,</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  VectorT & v)</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> {</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> VectorT::value_type NumericType;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> </div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  VectorT w = boost::numeric::ublas::zero_vector<NumericType>(v.size() + v_n.size());</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="namespaceviennacl.html#adc45a895937fe299100e2b235a442748">boost::numeric::ublas::project</a>(w, <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(0, v.size())) += v;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <a class="code" href="namespaceviennacl.html#adc45a895937fe299100e2b235a442748">boost::numeric::ublas::project</a>(w, <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(v.size(), v.size() + v_n.size())) += v_n;</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  v = w;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> }</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseVectorT, <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00141"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a76346f2d37c99cdda3737ad76942bdb2"> 141</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a76346f2d37c99cdda3737ad76942bdb2">sparse_norm_2</a>(SparseVectorT <span class="keyword">const</span> & v,</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> & norm)</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>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> SparseVectorT::const_iterator vec_it = v.begin(); vec_it != v.end(); ++vec_it)</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  norm += (vec_it->second)*(vec_it->second);</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> </div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  norm = std::sqrt(norm);</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> }</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> </div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseVectorT, <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00157"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa76c2d795781c203de394c73c62b0420"> 157</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa76c2d795781c203de394c73c62b0420">sparse_inner_prod</a>(SparseVectorT <span class="keyword">const</span> & <a class="code" href="global__variables_8cpp.html#a1d3b09c2337808223ca760c55bdf5414">v1</a>,</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  SparseVectorT <span class="keyword">const</span> & <a class="code" href="global__variables_8cpp.html#a9b48d95dbfbe8e26ae8911c753406d37">v2</a>,</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> & res_v)</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> {</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keyword">typename</span> SparseVectorT::const_iterator v_it1 = v1.begin();</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keyword">typename</span> SparseVectorT::const_iterator v_it2 = v2.begin();</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keywordflow">while</span> ((v_it1 != v1.end())&&(v_it2 != v2.end()))</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  {</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keywordflow">if</span> (v_it1->first == v_it2->first)</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  {</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  res_v += (v_it1->second)*(v_it2->second);</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  ++v_it1;</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  ++v_it2;</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  }</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (v_it1->first < v_it2->first)</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  ++v_it1;</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  ++v_it2;</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="l00187"></a><span class="lineno"> 187</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseVectorT, <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00188"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ae53274082aa46458002bff392267fbaa"> 188</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ae53274082aa46458002bff392267fbaa">buildAugmentedIndexSet</a>(std::vector<SparseVectorT> <span class="keyword">const</span> & A_v_c,</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  SparseVectorT <span class="keyword">const</span> & res,</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  std::vector<unsigned int> & J,</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  std::vector<unsigned int> & J_u,</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">spai_tag</a> <span class="keyword">const</span> & tag)</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> {</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  std::vector<std::pair<unsigned int, NumericT> > p;</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> cur_size = 0;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> inprod, norm2;</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> </div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> SparseVectorT::const_iterator res_it = res.begin(); res_it != res.end(); ++res_it)</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  {</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a04773e48e2b2afdbeee55fdda179ff5c">isInIndexSet</a>(J, res_it->first) && (std::fabs(res_it->second) > tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#ad1fa0eb19862c581823b2508875b622d">getResidualThreshold</a>()))</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  {</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  inprod = norm2 = 0;</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa76c2d795781c203de394c73c62b0420">sparse_inner_prod</a>(res, A_v_c[res_it->first], inprod);</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a76346f2d37c99cdda3737ad76942bdb2">sparse_norm_2</a>(A_v_c[res_it->first], norm2);</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  p.push_back(std::pair<unsigned int, NumericT>(res_it->first, (inprod*inprod)/(norm2*norm2)));</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="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  std::sort(p.begin(), p.end(), <a class="code" href="structviennacl_1_1linalg_1_1detail_1_1spai_1_1_compare_second.html">CompareSecond</a>());</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keywordflow">while</span> ((cur_size < J.size()) && (p.size() > 0))</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  {</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  J_u.push_back(p[0].first);</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  p.erase(p.begin());</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  cur_size++;</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>  p.clear();</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keywordflow">return</span> (cur_size > 0);</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> }</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> </div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseVectorT></div>
<div class="line"><a name="l00228"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a8ec10e331a15985f8d5fd3891332d60d"> 228</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a8ec10e331a15985f8d5fd3891332d60d">buildNewRowSet</a>(std::vector<SparseVectorT> <span class="keyword">const</span> & A_v_c,</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  std::vector<unsigned int> <span class="keyword">const</span> & I,</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  std::vector<unsigned int> <span class="keyword">const</span> & J_n,</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  std::vector<unsigned int> & I_n)</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> {</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < J_n.size(); ++i)</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  {</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> SparseVectorT::const_iterator col_it = A_v_c[J_n[i]].begin(); col_it!=A_v_c[J_n[i]].end(); ++col_it)</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  {</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a04773e48e2b2afdbeee55fdda179ff5c">isInIndexSet</a>(I, col_it->first) && !<a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a04773e48e2b2afdbeee55fdda179ff5c">isInIndexSet</a>(I_n, col_it->first))</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  I_n.push_back(col_it->first);</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  }</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  }</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> }</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> </div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT></div>
<div class="line"><a name="l00250"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a453c8768ecde4b09adaff9e130d8f3ed"> 250</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a453c8768ecde4b09adaff9e130d8f3ed">QRBlockComposition</a>(MatrixT <span class="keyword">const</span> & A_I_J,</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  MatrixT <span class="keyword">const</span> & A_I_J_u,</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  MatrixT & A_I_u_J_u)</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> {</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixT::value_type NumericType;</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> row_n1 = A_I_J_u.size1() - A_I_J.size2();</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> row_n2 = A_I_u_J_u.size1();</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> row_n = row_n1 + row_n2;</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> col_n = A_I_J_u.size2();</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> </div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  MatrixT C = boost::numeric::ublas::zero_matrix<NumericType>(row_n, col_n);</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <a class="code" href="namespaceviennacl.html#adc45a895937fe299100e2b235a442748">boost::numeric::ublas::project</a>(C,</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(0, row_n1),</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(0, col_n))</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  += <a class="code" href="namespaceviennacl.html#adc45a895937fe299100e2b235a442748">boost::numeric::ublas::project</a>(A_I_J_u,</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(A_I_J.size2(), A_I_J_u.size1()),</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(0, col_n));</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> </div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <a class="code" href="namespaceviennacl.html#adc45a895937fe299100e2b235a442748">boost::numeric::ublas::project</a>(C,</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(row_n1, row_n1 + row_n2),</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <a class="code" href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">boost::numeric::ublas::range</a>(0, col_n)) += A_I_u_J_u;</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  A_I_u_J_u = C;</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> }</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> </div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseMatrixT,</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keyword">typename</span> SparseVectorT,</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keyword">typename</span> DenseMatrixT,</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00291"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a8a63d610aebbcd68a76468e22e33ac83"> 291</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a8a63d610aebbcd68a76468e22e33ac83">block_update</a>(SparseMatrixT <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  std::vector<SparseVectorT> <span class="keyword">const</span> & A_v_c,</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  std::vector<SparseVectorT> & g_res,</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  std::vector<bool> & g_is_update,</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  std::vector<std::vector<unsigned int> >& g_I,</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  std::vector<std::vector<unsigned int> >& g_J,</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  std::vector<VectorT> & g_b_v,</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  std::vector<DenseMatrixT> & g_A_I_J,</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">spai_tag</a> <span class="keyword">const</span> & tag)</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> {</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> DenseMatrixT::value_type NumericType;</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span> </div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> </div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  std::vector<std::vector<unsigned int> > g_J_u(g_J.size()); <span class="comment">// set of new column indices</span></div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  std::vector<std::vector<unsigned int> > g_I_u(g_J.size()); <span class="comment">// set of new row indices</span></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  std::vector<DenseMatrixT> g_A_I_J_u(g_J.size()); <span class="comment">// matrix A(I, \tilde J), cf. Kallischko p.31-32</span></div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  std::vector<DenseMatrixT> g_A_I_u_J_u(g_J.size()); <span class="comment">// matrix A(\tilde I, \tilde J), cf. Kallischko</span></div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  std::vector<VectorT> g_b_v_u(g_J.size()); <span class="comment">// new vector of beta coefficients from QR factorization</span></div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span> </div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENMP</span></div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> <span class="preprocessor"> #pragma omp parallel for</span></div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> i = 0; i < static_cast<long>(g_J.size()); ++i)</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  {</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keywordflow">if</span> (g_is_update[static_cast<vcl_size_t>(i)])</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  {</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <span class="keywordflow">if</span> (buildAugmentedIndexSet<SparseVectorT, NumericType>(A_v_c, g_res[static_cast<vcl_size_t>(i)], g_J[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)], g_J_u[static_cast<vcl_size_t>(i)], tag))</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  {</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="comment">//initialize matrix A_I_\hatJ</span></div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aff1616fc9ee32fd0e1d641f6d8f2ebf3">initProjectSubMatrix</a>(A, g_J_u[static_cast<vcl_size_t>(i)], g_I[static_cast<vcl_size_t>(i)], g_A_I_J_u[static_cast<vcl_size_t>(i)]);</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="comment">//multiplication of Q'*A_I_\hatJ</span></div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a1bcb9bff13f114739f5f7d70d5b38223">apply_q_trans_mat</a>(g_A_I_J[static_cast<vcl_size_t>(i)], g_b_v[static_cast<vcl_size_t>(i)], g_A_I_J_u[static_cast<vcl_size_t>(i)]);</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="comment">//building new rows index set \hatI</span></div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a8ec10e331a15985f8d5fd3891332d60d">buildNewRowSet</a>(A_v_c, g_I[static_cast<vcl_size_t>(i)], g_J_u[static_cast<vcl_size_t>(i)], g_I_u[static_cast<vcl_size_t>(i)]);</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aff1616fc9ee32fd0e1d641f6d8f2ebf3">initProjectSubMatrix</a>(A, g_J_u[static_cast<vcl_size_t>(i)], g_I_u[static_cast<vcl_size_t>(i)], g_A_I_u_J_u[static_cast<vcl_size_t>(i)]);</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="comment">//composition of block for new QR factorization</span></div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a453c8768ecde4b09adaff9e130d8f3ed">QRBlockComposition</a>(g_A_I_J[static_cast<vcl_size_t>(i)], g_A_I_J_u[static_cast<vcl_size_t>(i)], g_A_I_u_J_u[static_cast<vcl_size_t>(i)]);</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="comment">//QR factorization</span></div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6e707b637111b93ec04a6149aa72eac4">single_qr</a>(g_A_I_u_J_u[static_cast<vcl_size_t>(i)], g_b_v_u[static_cast<vcl_size_t>(i)]);</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="comment">//composition of new R and new vector b_v</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4ed76d80fb1f213aa6ac3df4756a173a">composeNewR</a>(g_A_I_J_u[static_cast<vcl_size_t>(i)], g_A_I_u_J_u[static_cast<vcl_size_t>(i)], g_A_I_J[static_cast<vcl_size_t>(i)]);</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a04f2cf7cafff244de64e0f5e54507963">composeNewVector</a>(g_b_v_u[static_cast<vcl_size_t>(i)], g_b_v[static_cast<vcl_size_t>(i)]);</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <span class="comment">//composition of new sets: I and J</span></div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  g_J[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)].<a class="code" href="vector-io_8hpp.html#a55017a0da63da825e2f206bac4607a7a">insert</a>(g_J[static_cast<vcl_size_t>(i)].end(), g_J_u[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)].begin(), g_J_u[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)].end());</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  g_I[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)].<a class="code" href="vector-io_8hpp.html#a55017a0da63da825e2f206bac4607a7a">insert</a>(g_I[static_cast<vcl_size_t>(i)].end(), g_I_u[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)].begin(), g_I_u[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)].end());</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  }</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  {</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  g_is_update[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)] = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  }</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  }</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  }</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span> }</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span> </div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span> </div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span> <span class="comment">/**************************************************** GPU SPAI Update ****************************************************************/</span></div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> </div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span> </div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="comment">//performs Q'*A(I, \tilde J) on GPU</span></div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span> <span class="comment"></span><span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00361"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a030bd1b3e7fb96ca912e86e190e7cb9a"> 361</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a030bd1b3e7fb96ca912e86e190e7cb9a">block_q_multiplication</a>(std::vector<std::vector<unsigned int> > <span class="keyword">const</span> & g_J_u,</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  std::vector<std::vector<unsigned int> > <span class="keyword">const</span> & g_I,</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">block_matrix</a> & g_A_I_J_vcl,</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html">block_vector</a> & g_bv_vcl,</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">block_matrix</a> & g_A_I_J_u_vcl,</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  std::vector<cl_uint> & g_is_update,</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <a class="code" href="classviennacl_1_1context.html">viennacl::context</a> ctx)</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> {</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <a class="code" href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a> & opencl_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>(ctx.opencl_context());</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> local_r_n = 0;</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> local_c_n = 0;</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> sz_blocks = 0;</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> </div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#af12bfcc7a652ea6bc9150c302dae81a7">get_max_block_size</a>(g_I, local_r_n);</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#af12bfcc7a652ea6bc9150c302dae81a7">get_max_block_size</a>(g_J_u, local_c_n);</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> </div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  <span class="comment">//for debug</span></div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  std::vector<cl_uint> matrix_dims(g_I.size()*2, <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(0));</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  std::vector<cl_uint> blocks_ind(g_I.size() + 1, <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(0));</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a9a76ae3dcfedb876ec9f2db3155b81a7">compute_blocks_size</a>(g_I, g_J_u, sz_blocks, blocks_ind, matrix_dims);</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <span class="comment">//std::vector<ScalarType> con_A_I_J(sz_blocks, static_cast<ScalarType>(0));</span></div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span> </div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <a class="code" href="classviennacl_1_1ocl_1_1handle.html">viennacl::ocl::handle<cl_mem></a> g_is_update_vcl = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#ac70d01bc7f8bd1f36c10eae811672d79">create_memory</a>(CL_MEM_READ_WRITE,</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*(g_is_update.size())),</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  &(g_is_update[0]));</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1spai.html#acc7e921176d6dffe6cad7a796413b6b5">viennacl::linalg::opencl::kernels::spai<NumericT>::init</a>(opencl_ctx);</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <a class="code" href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a>& block_q_kernel = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#afe68ad8c2df449f40f45db6605038946">get_kernel</a>(<a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1spai.html">viennacl::linalg::opencl::kernels::spai<NumericT>::program_name</a>(), <span class="stringliteral">"block_q_mult"</span>);</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span> </div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  block_q_kernel.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#ae2b841c487f9ddbfcfb6297d648e2d7f">local_work_size</a>(0, local_c_n);</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  block_q_kernel.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#a0144c18ae9f07722e5b5697335b7cff5">global_work_size</a>(0, 128*local_c_n);</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  <a class="code" href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a>(block_q_kernel(g_A_I_J_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>(), g_A_I_J_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>(), g_A_I_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>(), g_A_I_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>(),</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  g_bv_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#aa0ce491b163b7ae8b795fc1afa866752">handle</a>(),</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  g_bv_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#a4b4564bc24267a88e47b944ee636705e">handle1</a>(), g_A_I_J_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(), g_A_I_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(), g_is_update_vcl,</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  <a class="code" href="classviennacl_1_1ocl_1_1local__mem.html">viennacl::ocl::local_mem</a>(static_cast<unsigned int>(<span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>)*(local_r_n*local_c_n))),</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(g_I.size())));</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span> }</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span> </div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span> <span class="keyword">template</span><<span class="keyword">typename</span> SizeT></div>
<div class="line"><a name="l00406"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab97e4f8849c15f3dea55584f4a1fcc85"> 406</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab97e4f8849c15f3dea55584f4a1fcc85">assemble_qr_row_inds</a>(std::vector<std::vector<SizeT> > <span class="keyword">const</span> & g_I,</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  std::vector<std::vector<SizeT> > <span class="keyword">const</span> & g_J,</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  std::vector<std::vector<SizeT> > <span class="keyword">const</span> & g_I_u,</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  std::vector<std::vector<SizeT> > & g_I_q)</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span> {</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENMP</span></div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span> <span class="preprocessor"> #pragma omp parallel for</span></div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> i = 0; i < static_cast<long>(g_I.size()); ++i)</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  {</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = g_J[static_cast<vcl_size_t>(i)].size(); j < g_I[static_cast<vcl_size_t>(i)].<a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>(); ++j)</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  g_I_q[static_cast<vcl_size_t>(i)].push_back(g_I[static_cast<vcl_size_t>(i)][j]);</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span> </div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < g_I_u[static_cast<vcl_size_t>(i)].<a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>(); ++j)</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  g_I_q[static_cast<vcl_size_t>(i)].push_back(g_I_u[static_cast<vcl_size_t>(i)][j]);</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  }</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span> }</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span> </div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00439"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a2a6a2326a67eed3c453880e1a9887b55"> 439</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a2a6a2326a67eed3c453880e1a9887b55">assemble_qr_block</a>(std::vector<std::vector<unsigned int> > <span class="keyword">const</span> & g_J,</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  std::vector<std::vector<unsigned int> > <span class="keyword">const</span>& g_I,</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  std::vector<std::vector<unsigned int> > <span class="keyword">const</span>& g_J_u,</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  std::vector<std::vector<unsigned int> > <span class="keyword">const</span>& g_I_u,</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  std::vector<std::vector<unsigned int> >& g_I_q,</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">block_matrix</a> & g_A_I_J_u_vcl,</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <a class="code" href="classviennacl_1_1ocl_1_1handle.html">viennacl::ocl::handle<cl_mem></a> & matrix_dimensions,</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">block_matrix</a> & g_A_I_u_J_u_vcl,</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  std::vector<cl_uint> & g_is_update,</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  <span class="keywordtype">bool</span> is_empty_block,</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  <a class="code" href="classviennacl_1_1context.html">viennacl::context</a> ctx)</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span> {</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <a class="code" href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a> & opencl_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>(ctx.opencl_context());</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span> </div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <span class="comment">//std::vector<std::vector<unsigned int> > g_I_q(g_I.size());</span></div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab97e4f8849c15f3dea55584f4a1fcc85">assemble_qr_row_inds</a>(g_I, g_J, g_I_u, g_I_q);</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> sz_blocks;</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  std::vector<cl_uint> matrix_dims(g_I.size()*2, <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(0));</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  std::vector<cl_uint> blocks_ind(g_I.size() + 1, <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(0));</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span> </div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a9a76ae3dcfedb876ec9f2db3155b81a7">compute_blocks_size</a>(g_I_q, g_J_u, sz_blocks, blocks_ind, matrix_dims);</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span> </div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  std::vector<NumericT> con_A_I_J_q(sz_blocks, static_cast<NumericT>(0));</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span> </div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">block_matrix</a> g_A_I_J_q_vcl;</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <span class="comment">//need to allocate memory for QR block</span></div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>() = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#ac70d01bc7f8bd1f36c10eae811672d79">create_memory</a>(CL_MEM_READ_WRITE,</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>)*sz_blocks),</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  &(con_A_I_J_q[0]));</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>().<a class="code" href="classviennacl_1_1ocl_1_1handle.html#aabb9d0a4beed00a52500de6047651135">context</a>(opencl_ctx);</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span> </div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>() = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#ac70d01bc7f8bd1f36c10eae811672d79">create_memory</a>(CL_MEM_READ_WRITE,</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*2*static_cast<unsigned int>(g_I.size())),</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  &(matrix_dims[0]));</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>().<a class="code" href="classviennacl_1_1ocl_1_1handle.html#aabb9d0a4beed00a52500de6047651135">context</a>(opencl_ctx);</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span> </div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>() = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#ac70d01bc7f8bd1f36c10eae811672d79">create_memory</a>(CL_MEM_READ_WRITE,</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*static_cast<unsigned int>(g_I.size() + 1)),</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  &(blocks_ind[0]));</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>().<a class="code" href="classviennacl_1_1ocl_1_1handle.html#aabb9d0a4beed00a52500de6047651135">context</a>(opencl_ctx);</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span> </div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <a class="code" href="classviennacl_1_1ocl_1_1handle.html">viennacl::ocl::handle<cl_mem></a> g_is_update_vcl = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#ac70d01bc7f8bd1f36c10eae811672d79">create_memory</a>(CL_MEM_READ_WRITE,</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*(g_is_update.size())),</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  &(g_is_update[0]));</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span> </div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1spai.html#acc7e921176d6dffe6cad7a796413b6b5">viennacl::linalg::opencl::kernels::spai<NumericT>::init</a>(opencl_ctx);</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  <span class="keywordflow">if</span> (!is_empty_block)</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  {</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  <a class="code" href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a>& qr_assembly_kernel = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#afe68ad8c2df449f40f45db6605038946">get_kernel</a>(<a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1spai.html">viennacl::linalg::opencl::kernels::spai<NumericT>::program_name</a>(), <span class="stringliteral">"block_qr_assembly"</span>);</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  qr_assembly_kernel.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#ae2b841c487f9ddbfcfb6297d648e2d7f">local_work_size</a>(0, 1);</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  qr_assembly_kernel.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#a0144c18ae9f07722e5b5697335b7cff5">global_work_size</a>(0, 256);</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <a class="code" href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a>(qr_assembly_kernel(matrix_dimensions,</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  g_A_I_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>(),</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  g_A_I_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>(),</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  g_A_I_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(),</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  g_A_I_u_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>(),</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  g_A_I_u_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>(),</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  g_A_I_u_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(),</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>(),</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>(),</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(),</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  g_is_update_vcl,</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  <span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(g_I.size())));</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  }</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  {</div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  <a class="code" href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a>& qr_assembly_kernel = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#afe68ad8c2df449f40f45db6605038946">get_kernel</a>(<a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1spai.html">viennacl::linalg::opencl::kernels::spai<NumericT>::program_name</a>(), <span class="stringliteral">"block_qr_assembly_1"</span>);</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  qr_assembly_kernel.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#ae2b841c487f9ddbfcfb6297d648e2d7f">local_work_size</a>(0, 1);</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  qr_assembly_kernel.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#a0144c18ae9f07722e5b5697335b7cff5">global_work_size</a>(0, 256);</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  <a class="code" href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a>(qr_assembly_kernel(matrix_dimensions, g_A_I_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>(), g_A_I_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>(),</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  g_A_I_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(),</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>(),</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>(), g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(),</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  g_is_update_vcl,</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  <span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(g_I.size())));</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  }</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  g_A_I_u_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>() = g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>();</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  g_A_I_u_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>() = g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>();</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  g_A_I_u_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>() = g_A_I_J_q_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>();</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span> }</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span> </div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00533"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ada295fb9ae10dcc0bc6728be3c006cd4"> 533</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ada295fb9ae10dcc0bc6728be3c006cd4">assemble_r</a>(std::vector<std::vector<unsigned int> > & g_I,</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  std::vector<std::vector<unsigned int> > & g_J,</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">block_matrix</a> & g_A_I_J_vcl,</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">block_matrix</a> & g_A_I_J_u_vcl,</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">block_matrix</a> & g_A_I_u_J_u_vcl,</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html">block_vector</a> & g_bv_vcl,</div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html">block_vector</a> & g_bv_vcl_u,</div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  std::vector<cl_uint> & g_is_update,</div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  <a class="code" href="classviennacl_1_1context.html">viennacl::context</a> ctx)</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span> {</div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  <a class="code" href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a> & opencl_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>(ctx.opencl_context());</div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  std::vector<cl_uint> matrix_dims(g_I.size()*2, <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(0));</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  std::vector<cl_uint> blocks_ind(g_I.size() + 1, <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(0));</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  std::vector<cl_uint> start_bv_r_inds(g_I.size() + 1, 0);</div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> sz_blocks, bv_size;</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span> </div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a9a76ae3dcfedb876ec9f2db3155b81a7">compute_blocks_size</a>(g_I, g_J, sz_blocks, blocks_ind, matrix_dims);</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#af7b43cbe43e0371cea55b325b410c1b4">get_size</a>(g_J, bv_size);</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa47df1186969f6872fe0dcaf83d4982b">init_start_inds</a>(g_J, start_bv_r_inds);</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span> </div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  std::vector<NumericT> con_A_I_J_r(sz_blocks, static_cast<NumericT>(0));</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  std::vector<NumericT> b_v_r(bv_size, static_cast<NumericT>(0));</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span> </div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">block_matrix</a> g_A_I_J_r_vcl;</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html">block_vector</a> g_bv_r_vcl;</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  g_A_I_J_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>() = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#ac70d01bc7f8bd1f36c10eae811672d79">create_memory</a>(CL_MEM_READ_WRITE,</div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>)*sz_blocks),</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  &(con_A_I_J_r[0]));</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  g_A_I_J_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>().<a class="code" href="classviennacl_1_1ocl_1_1handle.html#aabb9d0a4beed00a52500de6047651135">context</a>(opencl_ctx);</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span> </div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  g_A_I_J_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>() = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#ac70d01bc7f8bd1f36c10eae811672d79">create_memory</a>(CL_MEM_READ_WRITE,</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*2*static_cast<unsigned int>(g_I.size())),</div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  &(matrix_dims[0]));</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  g_A_I_J_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>().<a class="code" href="classviennacl_1_1ocl_1_1handle.html#aabb9d0a4beed00a52500de6047651135">context</a>(opencl_ctx);</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span> </div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  g_A_I_J_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>() = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#ac70d01bc7f8bd1f36c10eae811672d79">create_memory</a>(CL_MEM_READ_WRITE,</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*static_cast<unsigned int>(g_I.size() + 1)),</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  &(blocks_ind[0]));</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  g_A_I_J_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>().<a class="code" href="classviennacl_1_1ocl_1_1handle.html#aabb9d0a4beed00a52500de6047651135">context</a>(opencl_ctx);</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span> </div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  g_bv_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#aa0ce491b163b7ae8b795fc1afa866752">handle</a>() = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#ac70d01bc7f8bd1f36c10eae811672d79">create_memory</a>(CL_MEM_READ_WRITE,</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>)*bv_size),</div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  &(b_v_r[0]));</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  g_bv_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#aa0ce491b163b7ae8b795fc1afa866752">handle</a>().<a class="code" href="classviennacl_1_1ocl_1_1handle.html#aabb9d0a4beed00a52500de6047651135">context</a>(opencl_ctx);</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span> </div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  g_bv_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#a4b4564bc24267a88e47b944ee636705e">handle1</a>() = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#ac70d01bc7f8bd1f36c10eae811672d79">create_memory</a>(CL_MEM_READ_WRITE,</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*(g_I.size() + 1)),</div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  &(start_bv_r_inds[0]));</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  g_bv_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#aa0ce491b163b7ae8b795fc1afa866752">handle</a>().<a class="code" href="classviennacl_1_1ocl_1_1handle.html#aabb9d0a4beed00a52500de6047651135">context</a>(opencl_ctx);</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span> </div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  <a class="code" href="classviennacl_1_1ocl_1_1handle.html">viennacl::ocl::handle<cl_mem></a> g_is_update_vcl = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#ac70d01bc7f8bd1f36c10eae811672d79">create_memory</a>(CL_MEM_READ_WRITE,</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*(g_is_update.size())),</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  &(g_is_update[0]));</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  <a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1spai.html#acc7e921176d6dffe6cad7a796413b6b5">viennacl::linalg::opencl::kernels::spai<NumericT>::init</a>(opencl_ctx);</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  <a class="code" href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a>& r_assembly_kernel = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#afe68ad8c2df449f40f45db6605038946">get_kernel</a>(<a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1spai.html">viennacl::linalg::opencl::kernels::spai<NumericT>::program_name</a>(), <span class="stringliteral">"block_r_assembly"</span>);</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  r_assembly_kernel.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#ae2b841c487f9ddbfcfb6297d648e2d7f">local_work_size</a>(0, 1);</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  r_assembly_kernel.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#a0144c18ae9f07722e5b5697335b7cff5">global_work_size</a>(0, 256);</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span> </div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  <a class="code" href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a>(r_assembly_kernel(g_A_I_J_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>(), g_A_I_J_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>(), g_A_I_J_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(),</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  g_A_I_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>(), g_A_I_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>(), g_A_I_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(),</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  g_A_I_u_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>(), g_A_I_u_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>(), g_A_I_u_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(),</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  g_A_I_J_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>(), g_A_I_J_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>(), g_A_I_J_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(),</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  g_is_update_vcl, <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(g_I.size())));</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span> </div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  <a class="code" href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a> & bv_assembly_kernel = opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#afe68ad8c2df449f40f45db6605038946">get_kernel</a>(<a class="code" href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1spai.html">viennacl::linalg::opencl::kernels::spai<NumericT>::program_name</a>(), <span class="stringliteral">"block_bv_assembly"</span>);</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  bv_assembly_kernel.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#ae2b841c487f9ddbfcfb6297d648e2d7f">local_work_size</a>(0, 1);</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  bv_assembly_kernel.global_work_size(0, 256);</div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  <a class="code" href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a>(bv_assembly_kernel(g_bv_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#aa0ce491b163b7ae8b795fc1afa866752">handle</a>(), g_bv_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#a4b4564bc24267a88e47b944ee636705e">handle1</a>(), g_A_I_J_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(), g_bv_vcl_u.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#aa0ce491b163b7ae8b795fc1afa866752">handle</a>(),</div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  g_bv_vcl_u.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#a4b4564bc24267a88e47b944ee636705e">handle1</a>(), g_A_I_J_u_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(),</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  g_bv_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#aa0ce491b163b7ae8b795fc1afa866752">handle</a>(), g_bv_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#a4b4564bc24267a88e47b944ee636705e">handle1</a>(), g_A_I_J_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(), g_is_update_vcl,</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(g_I.size())));</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  g_bv_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#aa0ce491b163b7ae8b795fc1afa866752">handle</a>() = g_bv_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#aa0ce491b163b7ae8b795fc1afa866752">handle</a>();</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  g_bv_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#a4b4564bc24267a88e47b944ee636705e">handle1</a>() = g_bv_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#a4b4564bc24267a88e47b944ee636705e">handle1</a>();</div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span> </div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  g_A_I_J_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>() = g_A_I_J_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">handle</a>();</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  g_A_I_J_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>() = g_A_I_J_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">handle2</a>();</div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  g_A_I_J_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>() = g_A_I_J_r_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>();</div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span> }</div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span> </div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV, <span class="keyword">typename</span> SparseVectorT></div>
<div class="line"><a name="l00625"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aac7edbe83326cd05affc0ac8e68c6a2d"> 625</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a8a63d610aebbcd68a76468e22e33ac83">block_update</a>(<a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT, AlignmentV></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  std::vector<SparseVectorT> <span class="keyword">const</span> & A_v_c,</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  std::vector<cl_uint> & g_is_update,</div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  std::vector<SparseVectorT> & g_res,</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  std::vector<std::vector<unsigned int> > & g_J,</div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  std::vector<std::vector<unsigned int> > & g_I,</div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">block_matrix</a> & g_A_I_J_vcl,</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html">block_vector</a> & g_bv_vcl,</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">spai_tag</a> <span class="keyword">const</span> & tag)</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span> {</div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  <a class="code" href="classviennacl_1_1context.html">viennacl::context</a> ctx = <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(A);</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  <span class="comment">//updated index set for columns</span></div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  std::vector<std::vector<unsigned int> > g_J_u(g_J.size());</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  <span class="comment">//updated index set for rows</span></div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  std::vector<std::vector<unsigned int> > g_I_u(g_J.size());</div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  <span class="comment">//mixed index set of old and updated indices for rows</span></div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  std::vector<std::vector<unsigned int> > g_I_q(g_J.size());</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  <span class="comment">//GPU memory for A_I_\hatJ</span></div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">block_matrix</a> g_A_I_J_u_vcl;</div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  <span class="comment">//GPU memory for A_\hatI_\hatJ</span></div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">block_matrix</a> g_A_I_u_J_u_vcl;</div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  <span class="keywordtype">bool</span> is_empty_block;</div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  <span class="comment">//GPU memory for new b_v</span></div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html">block_vector</a> g_bv_u_vcl;</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span> </div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENMP</span></div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span> <span class="preprocessor"> #pragma omp parallel for</span></div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> i = 0; i < static_cast<long>(g_J.size()); ++i)</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  {</div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <span class="keywordflow">if</span> (g_is_update[static_cast<vcl_size_t>(i)])</div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  {</div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <span class="keywordflow">if</span> (buildAugmentedIndexSet<SparseVectorT, NumericT>(A_v_c, g_res[static_cast<vcl_size_t>(i)], g_J[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)], g_J_u[static_cast<vcl_size_t>(i)], tag))</div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a8ec10e331a15985f8d5fd3891332d60d">buildNewRowSet</a>(A_v_c, g_I[static_cast<vcl_size_t>(i)], g_J_u[static_cast<vcl_size_t>(i)], g_I_u[static_cast<vcl_size_t>(i)]);</div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  }</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  }</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  <span class="comment">//assemble new A_I_J_u blocks on GPU and multiply them with Q'</span></div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#afe2919f83347787985e20e0599ba4296">block_assembly</a>(A, g_J_u, g_I, g_A_I_J_u_vcl, g_is_update, is_empty_block);</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  <span class="comment">//I have matrix A_I_J_u ready..</span></div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  block_q_multiplication<NumericT>(g_J_u, g_I, g_A_I_J_vcl, g_bv_vcl, g_A_I_J_u_vcl, g_is_update, ctx);</div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  <span class="comment">//assemble A_\hatI_\hatJ</span></div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#afe2919f83347787985e20e0599ba4296">block_assembly</a>(A, g_J_u, g_I_u, g_A_I_u_J_u_vcl, g_is_update, is_empty_block);</div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  assemble_qr_block<NumericT>(g_J, g_I, g_J_u, g_I_u, g_I_q, g_A_I_J_u_vcl, g_A_I_J_vcl.handle1(),</div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  g_A_I_u_J_u_vcl, g_is_update, is_empty_block, ctx);</div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span> </div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  block_qr<NumericT>(g_I_q, g_J_u, g_A_I_u_J_u_vcl, g_bv_u_vcl, g_is_update, ctx);</div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  <span class="comment">//concatanation of new and old indices</span></div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENMP</span></div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span> <span class="preprocessor"> #pragma omp parallel for</span></div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> i = 0; i < static_cast<long>(g_J.size()); ++i)</div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  {</div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  g_J[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)].<a class="code" href="vector-io_8hpp.html#a55017a0da63da825e2f206bac4607a7a">insert</a>(g_J[static_cast<vcl_size_t>(i)].end(), g_J_u[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)].begin(), g_J_u[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)].end());</div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  g_I[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)].<a class="code" href="vector-io_8hpp.html#a55017a0da63da825e2f206bac4607a7a">insert</a>(g_I[static_cast<vcl_size_t>(i)].end(), g_I_u[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)].begin(), g_I_u[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)].end());</div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  }</div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  assemble_r<NumericT>(g_I, g_J, g_A_I_J_vcl, g_A_I_J_u_vcl, g_A_I_u_J_u_vcl, g_bv_vcl, g_bv_u_vcl, g_is_update, ctx);</div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span> }</div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span> </div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span> }</div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span> }</div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span> }</div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span> }</div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1spai_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1opencl_1_1kernels_1_1spai.html">viennacl::linalg::opencl::kernels::spai</a></div><div class="ttdoc">Main kernel class for generating OpenCL kernels for the sparse approximate inverse preconditioners...</div><div class="ttdef"><b>Definition:</b> <a href="opencl_2kernels_2spai_8hpp_source.html#l00587">spai.hpp:587</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_ae53274082aa46458002bff392267fbaa"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ae53274082aa46458002bff392267fbaa">viennacl::linalg::detail::spai::buildAugmentedIndexSet</a></div><div class="ttdeci">bool buildAugmentedIndexSet(std::vector< SparseVectorT > const &A_v_c, SparseVectorT const &res, std::vector< unsigned int > &J, std::vector< unsigned int > &J_u, spai_tag const &tag)</div><div class="ttdoc">Building a new set of column indices J_u, cf. Kallischko dissertation p.31. </div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00188">spai-dynamic.hpp:188</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">viennacl::linalg::detail::spai::block_matrix</a></div><div class="ttdoc">Represents contigious matrices on GPU. </div><div class="ttdef"><b>Definition:</b> <a href="block__matrix_8hpp_source.html#l00049">block_matrix.hpp:49</a></div></div>
<div class="ttc" id="matrix__operations_8hpp_html"><div class="ttname"><a href="matrix__operations_8hpp.html">matrix_operations.hpp</a></div><div class="ttdoc">Implementations of dense matrix related operations including matrix-vector products. </div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1detail_1_1spai_1_1_compare_second_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1detail_1_1spai_1_1_compare_second.html">viennacl::linalg::detail::spai::CompareSecond</a></div><div class="ttdoc">Helper functor for comparing std::pair<> based on the second member. </div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00077">spai-dynamic.hpp:77</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix_html_ac46be8dd4d025be4240f8ca5f85da5bb"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#ac46be8dd4d025be4240f8ca5f85da5bb">viennacl::linalg::detail::spai::block_matrix::handle</a></div><div class="ttdeci">viennacl::ocl::handle< cl_mem > & handle()</div><div class="ttdoc">Returns a handle to the elements. </div><div class="ttdef"><b>Definition:</b> <a href="block__matrix_8hpp_source.html#l00056">block_matrix.hpp:56</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a76346f2d37c99cdda3737ad76942bdb2"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a76346f2d37c99cdda3737ad76942bdb2">viennacl::linalg::detail::spai::sparse_norm_2</a></div><div class="ttdeci">void sparse_norm_2(SparseVectorT const &v, NumericT &norm)</div><div class="ttdoc">Computation of Euclidean norm for sparse vector. </div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00141">spai-dynamic.hpp:141</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector_html_a4b4564bc24267a88e47b944ee636705e"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#a4b4564bc24267a88e47b944ee636705e">viennacl::linalg::detail::spai::block_vector::handle1</a></div><div class="ttdeci">viennacl::ocl::handle< cl_mem > & handle1()</div><div class="ttdoc">Return handle to start indices. </div><div class="ttdef"><b>Definition:</b> <a href="block__vector_8hpp_source.html#l00058">block_vector.hpp:58</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="structviennacl_1_1linalg_1_1detail_1_1spai_1_1_compare_second_html_a4dc003569f8ac9e1a2fc0448eb26b75d"><div class="ttname"><a href="structviennacl_1_1linalg_1_1detail_1_1spai_1_1_compare_second.html#a4dc003569f8ac9e1a2fc0448eb26b75d">viennacl::linalg::detail::spai::CompareSecond::operator()</a></div><div class="ttdeci">bool operator()(std::pair< T1, T2 > const &left, std::pair< T1, T2 > const &right)</div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00080">spai-dynamic.hpp:80</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1kernel_html"><div class="ttname"><a href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a></div><div class="ttdoc">Represents an OpenCL kernel within ViennaCL. </div><div class="ttdef"><b>Definition:</b> <a href="kernel_8hpp_source.html#l00058">kernel.hpp:58</a></div></div>
<div class="ttc" id="matrix_8hpp_html"><div class="ttname"><a href="matrix_8hpp.html">matrix.hpp</a></div><div class="ttdoc">Implementation of the dense matrix class. </div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1kernel_html_ae2b841c487f9ddbfcfb6297d648e2d7f"><div class="ttname"><a href="classviennacl_1_1ocl_1_1kernel.html#ae2b841c487f9ddbfcfb6297d648e2d7f">viennacl::ocl::kernel::local_work_size</a></div><div class="ttdeci">size_type local_work_size(int index=0) const </div><div class="ttdoc">Returns the local work size at the respective dimension. </div><div class="ttdef"><b>Definition:</b> <a href="kernel_8hpp_source.html#l00742">kernel.hpp:742</a></div></div>
<div class="ttc" id="opencl_2kernels_2spai_8hpp_html"><div class="ttname"><a href="opencl_2kernels_2spai_8hpp.html">spai.hpp</a></div><div class="ttdoc">OpenCL kernel file for sparse approximate inverse operations. </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="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a9a76ae3dcfedb876ec9f2db3155b81a7"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a9a76ae3dcfedb876ec9f2db3155b81a7">viennacl::linalg::detail::spai::compute_blocks_size</a></div><div class="ttdeci">void compute_blocks_size(std::vector< std::vector< unsigned int > > const &g_I, std::vector< std::vector< unsigned int > > const &g_J, unsigned int &sz, std::vector< cl_uint > &blocks_ind, std::vector< cl_uint > &matrix_dims)</div><div class="ttdoc">**************************************** BLOCK FUNCTIONS ************************************// ...</div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2qr_8hpp_source.html#l00129">qr.hpp:129</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_af7b43cbe43e0371cea55b325b410c1b4"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#af7b43cbe43e0371cea55b325b410c1b4">viennacl::linalg::detail::spai::get_size</a></div><div class="ttdeci">void get_size(std::vector< std::vector< SizeT > > const &inds, SizeT &size)</div><div class="ttdoc">Computes size of particular container of index set. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2qr_8hpp_source.html#l00151">qr.hpp:151</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_ab97e4f8849c15f3dea55584f4a1fcc85"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab97e4f8849c15f3dea55584f4a1fcc85">viennacl::linalg::detail::spai::assemble_qr_row_inds</a></div><div class="ttdeci">void assemble_qr_row_inds(std::vector< std::vector< SizeT > > const &g_I, std::vector< std::vector< SizeT > > const &g_J, std::vector< std::vector< SizeT > > const &g_I_u, std::vector< std::vector< SizeT > > &g_I_q)</div><div class="ttdoc">Assembly of container of index row sets: I_q, row indices for new "QR block". </div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00406">spai-dynamic.hpp:406</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="inner__prod_8hpp_html"><div class="ttname"><a href="inner__prod_8hpp.html">inner_prod.hpp</a></div><div class="ttdoc">Generic interface for the computation of inner products. See viennacl/linalg/vector_operations.hpp for implementations. </div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a8a63d610aebbcd68a76468e22e33ac83"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a8a63d610aebbcd68a76468e22e33ac83">viennacl::linalg::detail::spai::block_update</a></div><div class="ttdeci">void block_update(SparseMatrixT const &A, std::vector< SparseVectorT > const &A_v_c, std::vector< SparseVectorT > &g_res, std::vector< bool > &g_is_update, std::vector< std::vector< unsigned int > > &g_I, std::vector< std::vector< unsigned int > > &g_J, std::vector< VectorT > &g_b_v, std::vector< DenseMatrixT > &g_A_I_J, spai_tag const &tag)</div><div class="ttdoc">CPU-based dynamic update for SPAI preconditioner. </div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00291">spai-dynamic.hpp:291</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1handle_html_aabb9d0a4beed00a52500de6047651135"><div class="ttname"><a href="classviennacl_1_1ocl_1_1handle.html#aabb9d0a4beed00a52500de6047651135">viennacl::ocl::handle::context</a></div><div class="ttdeci">viennacl::ocl::context const & context() const </div><div class="ttdef"><b>Definition:</b> <a href="ocl_2handle_8hpp_source.html#l00193">handle.hpp:193</a></div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_a52b5d30a2d7b064678644a3bf49b7f6c"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a></div><div class="ttdeci">float NumericT</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00040">bisect.cpp:40</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a04773e48e2b2afdbeee55fdda179ff5c"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a04773e48e2b2afdbeee55fdda179ff5c">viennacl::linalg::detail::spai::isInIndexSet</a></div><div class="ttdeci">bool isInIndexSet(std::vector< SizeT > const &J, SizeT ind)</div><div class="ttdoc">Determines if element ind is in set {J}. </div><div class="ttdef"><b>Definition:</b> <a href="spai-static_8hpp_source.html#l00072">spai-static.hpp:72</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a8ec10e331a15985f8d5fd3891332d60d"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a8ec10e331a15985f8d5fd3891332d60d">viennacl::linalg::detail::spai::buildNewRowSet</a></div><div class="ttdeci">void buildNewRowSet(std::vector< SparseVectorT > const &A_v_c, std::vector< unsigned int > const &I, std::vector< unsigned int > const &J_n, std::vector< unsigned int > &I_n)</div><div class="ttdoc">Building a new indices to current set of row indices I_n, cf. Kallischko dissertation p...</div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00228">spai-dynamic.hpp:228</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="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a6e707b637111b93ec04a6149aa72eac4"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6e707b637111b93ec04a6149aa72eac4">viennacl::linalg::detail::spai::single_qr</a></div><div class="ttdeci">void single_qr(MatrixT &R, VectorT &b_v)</div><div class="ttdoc">Inplace QR factorization via Householder reflections c.f. Gene H. Golub, Charles F. Van Loan "Matrix Computations" 3rd edition p.224. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2qr_8hpp_source.html#l00311">qr.hpp:311</a></div></div>
<div class="ttc" id="namespaceviennacl_html_ae92c62d9fd59870c1f6b881e391d32aa"><div class="ttname"><a href="namespaceviennacl.html#ae92c62d9fd59870c1f6b881e391d32aa">viennacl::range</a></div><div class="ttdeci">basic_range range</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00424">forwards.h:424</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_afe2919f83347787985e20e0599ba4296"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#afe2919f83347787985e20e0599ba4296">viennacl::linalg::detail::spai::block_assembly</a></div><div class="ttdeci">void block_assembly(viennacl::compressed_matrix< NumericT, AlignmentV > const &A, std::vector< std::vector< unsigned int > > const &g_J, std::vector< std::vector< unsigned int > > const &g_I, block_matrix &g_A_I_J_vcl, std::vector< cl_uint > &g_is_update, bool &is_empty_block)</div><div class="ttdoc">Assembly of blocks on GPU by a gived set of row indices: g_I and column indices: g_J. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00507">spai.hpp:507</a></div></div>
<div class="ttc" id="global__variables_8cpp_html_a1d3b09c2337808223ca760c55bdf5414"><div class="ttname"><a href="global__variables_8cpp.html#a1d3b09c2337808223ca760c55bdf5414">v1</a></div><div class="ttdeci">viennacl::vector< float > v1</div><div class="ttdef"><b>Definition:</b> <a href="global__variables_8cpp_source.html#l00060">global_variables.cpp:60</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="namespaceviennacl_1_1traits_html_aa2344ea20469f55fbc15a8e9526494d0"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">viennacl::traits::size</a></div><div class="ttdeci">vcl_size_t size(VectorType const &vec)</div><div class="ttdoc">Generic routine for obtaining the size of a vector (ViennaCL, uBLAS, etc.) </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00239">size.hpp:239</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1local__mem_html"><div class="ttname"><a href="classviennacl_1_1ocl_1_1local__mem.html">viennacl::ocl::local_mem</a></div><div class="ttdoc">A class representing local (shared) OpenCL memory. Typically used as kernel argument. </div><div class="ttdef"><b>Definition:</b> <a href="local__mem_8hpp_source.html#l00033">local_mem.hpp:33</a></div></div>
<div class="ttc" id="vector-io_8hpp_html_a55017a0da63da825e2f206bac4607a7a"><div class="ttname"><a href="vector-io_8hpp.html#a55017a0da63da825e2f206bac4607a7a">insert</a></div><div class="ttdeci">void insert(MatrixType &matrix, long row, long col, ScalarType value)</div><div class="ttdef"><b>Definition:</b> <a href="vector-io_8hpp_source.html#l00031">vector-io.hpp:31</a></div></div>
<div class="ttc" id="detail_2spai_2qr_8hpp_html"><div class="ttname"><a href="detail_2spai_2qr_8hpp.html">qr.hpp</a></div><div class="ttdoc">Implementation of a simultaneous QR factorization of multiple matrices. Experimental. </div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a04f2cf7cafff244de64e0f5e54507963"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a04f2cf7cafff244de64e0f5e54507963">viennacl::linalg::detail::spai::composeNewVector</a></div><div class="ttdeci">void composeNewVector(VectorT const &v_n, VectorT &v)</div><div class="ttdoc">Composition of new vector of coefficients beta from QR factorizations(necessary for Q recovery) ...</div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00124">spai-dynamic.hpp:124</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1context_html_afe68ad8c2df449f40f45db6605038946"><div class="ttname"><a href="classviennacl_1_1ocl_1_1context.html#afe68ad8c2df449f40f45db6605038946">viennacl::ocl::context::get_kernel</a></div><div class="ttdeci">viennacl::ocl::kernel & get_kernel(std::string const &program_name, std::string const &kernel_name)</div><div class="ttdoc">Convenience function for retrieving the kernel of a program directly from the context. </div><div class="ttdef"><b>Definition:</b> <a href="ocl_2context_8hpp_source.html#l00605">context.hpp:605</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_aa47df1186969f6872fe0dcaf83d4982b"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa47df1186969f6872fe0dcaf83d4982b">viennacl::linalg::detail::spai::init_start_inds</a></div><div class="ttdeci">void init_start_inds(std::vector< std::vector< SizeT > > const &inds, std::vector< cl_uint > &start_inds)</div><div class="ttdoc">Initializes start indices of particular index set. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2qr_8hpp_source.html#l00165">qr.hpp:165</a></div></div>
<div class="ttc" id="ilu_8hpp_html"><div class="ttname"><a href="ilu_8hpp.html">ilu.hpp</a></div><div class="ttdoc">Implementations of incomplete factorization preconditioners. Convenience header file. </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_1_1detail_1_1spai_html_ada295fb9ae10dcc0bc6728be3c006cd4"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ada295fb9ae10dcc0bc6728be3c006cd4">viennacl::linalg::detail::spai::assemble_r</a></div><div class="ttdeci">void assemble_r(std::vector< std::vector< unsigned int > > &g_I, std::vector< std::vector< unsigned int > > &g_J, block_matrix &g_A_I_J_vcl, block_matrix &g_A_I_J_u_vcl, block_matrix &g_A_I_u_J_u_vcl, block_vector &g_bv_vcl, block_vector &g_bv_vcl_u, std::vector< cl_uint > &g_is_update, viennacl::context ctx)</div><div class="ttdoc">Performs assembly for new R matrix on GPU. </div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00533">spai-dynamic.hpp:533</a></div></div>
<div class="ttc" id="compressed__matrix_8hpp_html"><div class="ttname"><a href="compressed__matrix_8hpp.html">compressed_matrix.hpp</a></div><div class="ttdoc">Implementation of the compressed_matrix class. </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="sparse__matrix__operations_8hpp_html"><div class="ttname"><a href="sparse__matrix__operations_8hpp.html">sparse_matrix_operations.hpp</a></div><div class="ttdoc">Implementations of operations using sparse matrices. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix_html_a7c229ac4d94cfd69401ef72404b81ab6"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">viennacl::linalg::detail::spai::block_matrix::handle1</a></div><div class="ttdeci">viennacl::ocl::handle< cl_mem > & handle1()</div><div class="ttdoc">Returns a handle to the matrix dimensions. </div><div class="ttdef"><b>Definition:</b> <a href="block__matrix_8hpp_source.html#l00059">block_matrix.hpp:59</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a2a6a2326a67eed3c453880e1a9887b55"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a2a6a2326a67eed3c453880e1a9887b55">viennacl::linalg::detail::spai::assemble_qr_block</a></div><div class="ttdeci">void assemble_qr_block(std::vector< std::vector< unsigned int > > const &g_J, std::vector< std::vector< unsigned int > > const &g_I, std::vector< std::vector< unsigned int > > const &g_J_u, std::vector< std::vector< unsigned int > > const &g_I_u, std::vector< std::vector< unsigned int > > &g_I_q, block_matrix &g_A_I_J_u_vcl, viennacl::ocl::handle< cl_mem > &matrix_dimensions, block_matrix &g_A_I_u_J_u_vcl, std::vector< cl_uint > &g_is_update, bool is_empty_block, viennacl::context ctx)</div><div class="ttdoc">Performs assembly for new QR block. </div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00439">spai-dynamic.hpp:439</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_aff1616fc9ee32fd0e1d641f6d8f2ebf3"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aff1616fc9ee32fd0e1d641f6d8f2ebf3">viennacl::linalg::detail::spai::initProjectSubMatrix</a></div><div class="ttdeci">void initProjectSubMatrix(SparseMatrixT const &A_in, std::vector< unsigned int > const &J, std::vector< unsigned int > &I, DenseMatrixT &A_out)</div><div class="ttdoc">Initializes a dense matrix from a sparse one. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00156">spai.hpp:156</a></div></div>
<div class="ttc" id="namespaceviennacl_html_adc45a895937fe299100e2b235a442748"><div class="ttname"><a href="namespaceviennacl.html#adc45a895937fe299100e2b235a442748">viennacl::project</a></div><div class="ttdeci">matrix_range< MatrixType > project(MatrixType const &A, viennacl::range const &r1, viennacl::range const &r2)</div><div class="ttdef"><b>Definition:</b> <a href="matrix__proxy_8hpp_source.html#l00326">matrix_proxy.hpp:326</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector_html_aa0ce491b163b7ae8b795fc1afa866752"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#aa0ce491b163b7ae8b795fc1afa866752">viennacl::linalg::detail::spai::block_vector::handle</a></div><div class="ttdeci">viennacl::ocl::handle< cl_mem > & handle()</div><div class="ttdoc">Return handle to the elements. </div><div class="ttdef"><b>Definition:</b> <a href="block__vector_8hpp_source.html#l00055">block_vector.hpp:55</a></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="namespaceviennacl_html_a98a0afcc513111ffa0bd138f891930df"><div class="ttname"><a href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">viennacl::vcl_size_t</a></div><div class="ttdeci">std::size_t vcl_size_t</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00075">forwards.h:75</a></div></div>
<div class="ttc" id="cg_8hpp_html"><div class="ttname"><a href="cg_8hpp.html">cg.hpp</a></div><div class="ttdoc">The conjugate gradient method is implemented here. </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_1linalg_1_1detail_1_1spai_1_1block__matrix_html_a9a1747e1f9d87499fac06c16ebded862"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a9a1747e1f9d87499fac06c16ebded862">viennacl::linalg::detail::spai::block_matrix::handle2</a></div><div class="ttdeci">viennacl::ocl::handle< cl_mem > & handle2()</div><div class="ttdoc">Returns a handle to the start indices of matrix. </div><div class="ttdef"><b>Definition:</b> <a href="block__matrix_8hpp_source.html#l00062">block_matrix.hpp:62</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_aa76c2d795781c203de394c73c62b0420"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa76c2d795781c203de394c73c62b0420">viennacl::linalg::detail::spai::sparse_inner_prod</a></div><div class="ttdeci">void sparse_inner_prod(SparseVectorT const &v1, SparseVectorT const &v2, NumericT &res_v)</div><div class="ttdoc">Dot product of two sparse vectors. </div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00157">spai-dynamic.hpp:157</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="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_af12bfcc7a652ea6bc9150c302dae81a7"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#af12bfcc7a652ea6bc9150c302dae81a7">viennacl::linalg::detail::spai::get_max_block_size</a></div><div class="ttdeci">void get_max_block_size(std::vector< std::vector< SizeT > > const &inds, SizeT &max_size)</div><div class="ttdoc">Getting max size of rows/columns from container of index set. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2qr_8hpp_source.html#l00338">qr.hpp:338</a></div></div>
<div class="ttc" id="global__variables_8cpp_html_a9b48d95dbfbe8e26ae8911c753406d37"><div class="ttname"><a href="global__variables_8cpp.html#a9b48d95dbfbe8e26ae8911c753406d37">v2</a></div><div class="ttdeci">viennacl::vector< int > v2</div><div class="ttdef"><b>Definition:</b> <a href="global__variables_8cpp_source.html#l00061">global_variables.cpp:61</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1ocl_html_a5f2022f653ea1cf364d20e3ff84dcada"><div class="ttname"><a href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a></div><div class="ttdeci">void enqueue(KernelType &k, viennacl::ocl::command_queue const &queue)</div><div class="ttdoc">Enqueues a kernel in the provided queue. </div><div class="ttdef"><b>Definition:</b> <a href="enqueue_8hpp_source.html#l00050">enqueue.hpp:50</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a030bd1b3e7fb96ca912e86e190e7cb9a"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a030bd1b3e7fb96ca912e86e190e7cb9a">viennacl::linalg::detail::spai::block_q_multiplication</a></div><div class="ttdeci">void block_q_multiplication(std::vector< std::vector< unsigned int > > const &g_J_u, std::vector< std::vector< unsigned int > > const &g_I, block_matrix &g_A_I_J_vcl, block_vector &g_bv_vcl, block_matrix &g_A_I_J_u_vcl, std::vector< cl_uint > &g_is_update, viennacl::context ctx)</div><div class="ttdoc">Performs multiplication Q'*A(I, \tilde J) on GPU. </div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00361">spai-dynamic.hpp:361</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html">viennacl::linalg::detail::spai::block_vector</a></div><div class="ttdoc">Represents a contiguous vector on the GPU to represent a concatentation of small vectors. </div><div class="ttdef"><b>Definition:</b> <a href="block__vector_8hpp_source.html#l00048">block_vector.hpp:48</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="classviennacl_1_1ocl_1_1kernel_html_a0144c18ae9f07722e5b5697335b7cff5"><div class="ttname"><a href="classviennacl_1_1ocl_1_1kernel.html#a0144c18ae9f07722e5b5697335b7cff5">viennacl::ocl::kernel::global_work_size</a></div><div class="ttdeci">size_type global_work_size(int index=0) const </div><div class="ttdoc">Returns the global work size at the respective dimension. </div><div class="ttdef"><b>Definition:</b> <a href="kernel_8hpp_source.html#l00751">kernel.hpp:751</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a1bcb9bff13f114739f5f7d70d5b38223"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a1bcb9bff13f114739f5f7d70d5b38223">viennacl::linalg::detail::spai::apply_q_trans_mat</a></div><div class="ttdeci">void apply_q_trans_mat(MatrixT const &R, VectorT const &b_v, MatrixT &A)</div><div class="ttdoc">Multiplication of Q'*A, where Q is in implicit for lower part of R and vector of betas - b_v...</div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2qr_8hpp_source.html#l00404">qr.hpp:404</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="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_1_1linalg_1_1detail_1_1spai_html_a453c8768ecde4b09adaff9e130d8f3ed"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a453c8768ecde4b09adaff9e130d8f3ed">viennacl::linalg::detail::spai::QRBlockComposition</a></div><div class="ttdeci">void QRBlockComposition(MatrixT const &A_I_J, MatrixT const &A_I_J_u, MatrixT &A_I_u_J_u)</div><div class="ttdoc">Composition of new block for QR factorization cf. Kallischko dissertation p.82, figure 4...</div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00250">spai-dynamic.hpp:250</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a4ed76d80fb1f213aa6ac3df4756a173a"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4ed76d80fb1f213aa6ac3df4756a173a">viennacl::linalg::detail::spai::composeNewR</a></div><div class="ttdeci">void composeNewR(MatrixT const &A, MatrixT const &R_n, MatrixT &R)</div><div class="ttdoc">Composition of new matrix R, that is going to be used in Least Square problem solving. </div><div class="ttdef"><b>Definition:</b> <a href="spai-dynamic_8hpp_source.html#l00094">spai-dynamic.hpp:94</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1handle_html"><div class="ttname"><a href="classviennacl_1_1ocl_1_1handle.html">viennacl::ocl::handle< cl_mem ></a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag_html_ad1fa0eb19862c581823b2508875b622d"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#ad1fa0eb19862c581823b2508875b622d">viennacl::linalg::detail::spai::spai_tag::getResidualThreshold</a></div><div class="ttdeci">double getResidualThreshold() const </div><div class="ttdef"><b>Definition:</b> <a href="spai__tag_8hpp_source.html#l00088">spai_tag.hpp:88</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1context_html_ac70d01bc7f8bd1f36c10eae811672d79"><div class="ttname"><a href="classviennacl_1_1ocl_1_1context.html#ac70d01bc7f8bd1f36c10eae811672d79">viennacl::ocl::context::create_memory</a></div><div class="ttdeci">viennacl::ocl::handle< cl_mem > create_memory(cl_mem_flags flags, unsigned int size, void *ptr=NULL) const </div><div class="ttdoc">Creates a memory buffer within the context. </div><div class="ttdef"><b>Definition:</b> <a href="ocl_2context_8hpp_source.html#l00216">context.hpp:216</a></div></div>
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