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 <span id="projectnumber">1.7.1</span>
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<div id="projectbrief">Free open-source GPU-accelerated linear algebra and solver library.</div>
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<div class="title">spai.hpp</div> </div>
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<a href="detail_2spai_2spai_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_HPP</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_DETAIL_SPAI_SPAI_HPP</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> </div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">/* =========================================================================</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> TU Wien.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> Portions of this software are copyright by UChicago Argonne, LLC.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"></span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> ViennaCL - The Vienna Computing Library</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> Project Head: Karl Rupp rupp@iue.tuwien.ac.at</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"></span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> (A list of authors and contributors can be found in the manual)</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"></span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> License: MIT (X11), see file LICENSE in the base directory</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">============================================================================= */</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <utility></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <fstream></span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <string></span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <algorithm></span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <math.h></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include <map></span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment">//local includes</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</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="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "<a class="code" href="qr_8hpp.html">viennacl/linalg/qr.hpp</a>"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "<a class="code" href="spai-dynamic_8hpp.html">viennacl/linalg/detail/spai/spai-dynamic.hpp</a>"</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</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="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "<a class="code" href="sparse__vector_8hpp.html">viennacl/linalg/detail/spai/sparse_vector.hpp</a>"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</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="l00041"></a><span class="lineno"> 41</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="l00042"></a><span class="lineno"> 42</span> </div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment">//boost includes</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#include "boost/numeric/ublas/vector.hpp"</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix.hpp"</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix_proxy.hpp"</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#include "boost/numeric/ublas/vector_proxy.hpp"</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor">#include "boost/numeric/ublas/storage.hpp"</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor">#include "boost/numeric/ublas/io.hpp"</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor">#include "boost/numeric/ublas/lu.hpp"</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#include "boost/numeric/ublas/triangular.hpp"</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix_expression.hpp"</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment">// ViennaCL includes</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/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="matrix_8hpp.html">viennacl/matrix.hpp</a>"</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</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="l00058"></a><span class="lineno"> 58</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="l00059"></a><span class="lineno"> 59</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="l00060"></a><span class="lineno"> 60</span> <span class="preprocessor">#include "<a class="code" href="scalar_8hpp.html">viennacl/scalar.hpp</a>"</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</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="l00062"></a><span class="lineno"> 62</span> <span class="preprocessor">#include "<a class="code" href="ilu_8hpp.html">viennacl/linalg/ilu.hpp</a>"</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="preprocessor">#include "<a class="code" href="backend_8hpp.html">viennacl/ocl/backend.hpp</a>"</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</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="l00065"></a><span class="lineno"> 65</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> </div>
<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="detail_2spai_2spai_8hpp.html#a1dda26d5d7af5cbba03485b2da3075b2"> 68</a></span> <span class="preprocessor">#define VIENNACL_SPAI_K_b 20</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> {</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> {</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> {</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="keyword">namespace </span>spai</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> {</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="comment">//debug function for print</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseVectorT></div>
<div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ae5d1da881af74993b78c433286b70a00"> 81</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ae5d1da881af74993b78c433286b70a00">print_sparse_vector</a>(SparseVectorT <span class="keyword">const</span> & v)</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> {</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</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="l00084"></a><span class="lineno"> 84</span>  std::cout << <span class="stringliteral">"[ "</span> << vec_it->first << <span class="stringliteral">" ]:"</span> << vec_it->second << std::endl;</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="l00087"></a><span class="lineno"> 87</span> <span class="keyword">template</span><<span class="keyword">typename</span> DenseMatrixT></div>
<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a5dca466b626554c2b42bf25b500842e2"> 88</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a5dca466b626554c2b42bf25b500842e2">print_matrix</a>(DenseMatrixT & m)</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> {</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < m.size2(); ++i)</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  {</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < m.size1(); ++j)</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  std::cout<<m(j, i)<<<span class="stringliteral">" "</span>;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  std::cout<<std::endl;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  }</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> }</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseVectorT, <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00105"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ada1688aeb8885254756bf80384a223ac"> 105</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ada1688aeb8885254756bf80384a223ac">add_sparse_vectors</a>(SparseVectorT <span class="keyword">const</span> & v, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> b, SparseVectorT & res_v)</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> {</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> SparseVectorT::const_iterator v_it = v.begin(); v_it != v.end(); ++v_it)</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  res_v[v_it->first] += b*v_it->second;</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> </div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment">//sparse-matrix - vector product</span></div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment"></span><span class="keyword">template</span><<span class="keyword">typename</span> SparseVectorT, <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00120"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4673473f615b2369ca4e14b1a6f98b5c"> 120</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4673473f615b2369ca4e14b1a6f98b5c">compute_spai_residual</a>(std::vector<SparseVectorT> <span class="keyword">const</span> & A_v_c,</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  SparseVectorT <span class="keyword">const</span> & v,</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ind,</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  SparseVectorT & res)</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> {</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> SparseVectorT::const_iterator v_it = v.begin(); v_it != v.end(); ++v_it)</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ada1688aeb8885254756bf80384a223ac">add_sparse_vectors</a>(A_v_c[v_it->first], v_it->second, res);</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> </div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  res[ind] -= <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(1);</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> }</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> </div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseVectorT></div>
<div class="line"><a name="l00139"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#acaad1278cf03e43d711f0f24d9d454c9"> 139</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#acaad1278cf03e43d711f0f24d9d454c9">build_index_set</a>(std::vector<SparseVectorT> <span class="keyword">const</span> & A_v_c,</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  SparseVectorT <span class="keyword">const</span> & v,</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  std::vector<unsigned int> & J,</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  std::vector<unsigned int> & I)</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> {</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6ae3f653e6eacca58ccf36e972017d36">buildColumnIndexSet</a>(v, J);</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ae548ee7e9301caf3cc50ada65389bce0">projectRows</a>(A_v_c, J, I);</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> </div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseMatrixT, <span class="keyword">typename</span> DenseMatrixT></div>
<div class="line"><a name="l00156"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aff1616fc9ee32fd0e1d641f6d8f2ebf3"> 156</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aff1616fc9ee32fd0e1d641f6d8f2ebf3">initProjectSubMatrix</a>(SparseMatrixT <span class="keyword">const</span> & A_in,</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  std::vector<unsigned int> <span class="keyword">const</span> & J,</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  std::vector<unsigned int> & I,</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  DenseMatrixT & A_out)</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>  A_out.resize(I.size(), J.size(), <span class="keyword">false</span>);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < J.size(); ++j)</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < I.size(); ++i)</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  A_out(i,j) = A_in(I[i],J[j]);</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> </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> <span class="comment">/************************************************** CPU BLOCK SET UP ***************************************/</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> </div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseMatrixT, <span class="keyword">typename</span> DenseMatrixT, <span class="keyword">typename</span> SparseVectorT, <span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00181"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a906b89d67f50b1adf349391bb62b7cf0"> 181</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a906b89d67f50b1adf349391bb62b7cf0">block_set_up</a>(SparseMatrixT <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  std::vector<SparseVectorT> <span class="keyword">const</span> & A_v_c,</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  std::vector<SparseVectorT> <span class="keyword">const</span> & M_v,</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  std::vector<std::vector<unsigned int> >& g_I,</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  std::vector<std::vector<unsigned int> >& g_J,</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  std::vector<DenseMatrixT>& g_A_I_J,</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  std::vector<VectorT>& g_b_v)</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> {</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENMP</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="preprocessor"> #pragma omp parallel for</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> i2 = 0; i2 < static_cast<long>(M_v.size()); ++i2)</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>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = <span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i2);</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#acaad1278cf03e43d711f0f24d9d454c9">build_index_set</a>(A_v_c, M_v[i], g_J[i], g_I[i]);</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aff1616fc9ee32fd0e1d641f6d8f2ebf3">initProjectSubMatrix</a>(A, g_J[i], g_I[i], g_A_I_J[i]);</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="comment">//print_matrix(g_A_I_J[i]);</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6e707b637111b93ec04a6149aa72eac4">single_qr</a>(g_A_I_J[i], g_b_v[i]);</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="comment">//print_matrix(g_A_I_J[i]);</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  }</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> </div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseVectorT></div>
<div class="line"><a name="l00211"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6983ad76ea95e66ed94092bd05f44204"> 211</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6983ad76ea95e66ed94092bd05f44204">index_set_up</a>(std::vector<SparseVectorT> <span class="keyword">const</span> & A_v_c,</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  std::vector<SparseVectorT> <span class="keyword">const</span> & M_v,</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  std::vector<std::vector<unsigned int> > & g_J,</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  std::vector<std::vector<unsigned int> > & g_I)</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> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENMP</span></div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="preprocessor"> #pragma omp parallel for</span></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> i2 = 0; i2 < static_cast<long>(M_v.size()); ++i2)</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  {</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = <span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i2);</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#acaad1278cf03e43d711f0f24d9d454c9">build_index_set</a>(A_v_c, M_v[i], g_J[i], g_I[i]);</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  }</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> }</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> </div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> <span class="comment">/************************************************** GPU BLOCK SET UP ***************************************/</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> </div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</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="l00240"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ae544b4abea516f88a64117c4c548d3a7"> 240</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a906b89d67f50b1adf349391bb62b7cf0">block_set_up</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="l00241"></a><span class="lineno"> 241</span>  std::vector<SparseVectorT> <span class="keyword">const</span> & A_v_c,</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  std::vector<SparseVectorT> <span class="keyword">const</span> & M_v,</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  std::vector<cl_uint> g_is_update,</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  std::vector<std::vector<unsigned int> > & g_I,</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  std::vector<std::vector<unsigned int> > & g_J,</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html">block_matrix</a> & g_A_I_J,</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html">block_vector</a> & g_bv)</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> {</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</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="l00250"></a><span class="lineno"> 250</span>  <span class="keywordtype">bool</span> is_empty_block;</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> </div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="comment">//build index set</span></div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6983ad76ea95e66ed94092bd05f44204">index_set_up</a>(A_v_c, M_v, g_J, g_I);</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#afe2919f83347787985e20e0599ba4296">block_assembly</a>(A, g_J, g_I, g_A_I_J, g_is_update, is_empty_block);</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  block_qr<NumericT>(g_I, g_J, g_A_I_J, g_bv, g_is_update, ctx);</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> }</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span> </div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> </div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> <span class="comment">/***************************************************************************************************/</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> <span class="comment">/******************************** SOLVING LS PROBLEMS ON GPU ***************************************/</span></div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="comment">/***************************************************************************************************/</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> </div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> SparseVectorT></div>
<div class="line"><a name="l00271"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4a5e501e0f8a2f6e2733b0c5df10c6ad"> 271</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4a5e501e0f8a2f6e2733b0c5df10c6ad">custom_fan_out</a>(std::vector<NumericT> <span class="keyword">const</span> & m_in,</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> start_m_ind,</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  std::vector<unsigned int> <span class="keyword">const</span> & J,</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  SparseVectorT & m)</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> {</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> cnt = 0;</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < J.size(); ++i)</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  m[J[i]] = m_in[start_m_ind + cnt++];</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> }</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span> </div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> </div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> <span class="comment">//GPU based least square problem</span></div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> <span class="comment"></span><span class="keyword">template</span><<span class="keyword">typename</span> SparseVectorT, <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00298"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a644c28fb7b3c4e677d86dc4b06388dab"> 298</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a644c28fb7b3c4e677d86dc4b06388dab">least_square_solve</a>(std::vector<SparseVectorT> & A_v_c,</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  std::vector<SparseVectorT> & M_v,</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  std::vector<std::vector<unsigned int> >& g_I,</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  std::vector<std::vector<unsigned int> > & g_J,</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</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="l00303"></a><span class="lineno"> 303</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="l00304"></a><span class="lineno"> 304</span>  std::vector<SparseVectorT> & g_res,</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  std::vector<cl_uint> & g_is_update,</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">spai_tag</a> & tag,</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <a class="code" href="classviennacl_1_1context.html">viennacl::context</a> ctx)</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> {</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <a class="code" href="classviennacl_1_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="l00310"></a><span class="lineno"> 310</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> y_sz, m_sz;</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  std::vector<cl_uint> y_inds(M_v.size() + 1, <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(0));</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  std::vector<cl_uint> m_inds(M_v.size() + 1, <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(0));</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> </div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#af7b43cbe43e0371cea55b325b410c1b4">get_size</a>(g_I, y_sz);</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa47df1186969f6872fe0dcaf83d4982b">init_start_inds</a>(g_I, y_inds);</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa47df1186969f6872fe0dcaf83d4982b">init_start_inds</a>(g_J, m_inds);</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> </div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="comment">//create y_v</span></div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  std::vector<NumericT> y_v(y_sz, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(0));</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < M_v.size(); ++i)</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  {</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < g_I[i].size(); ++j)</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  {</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keywordflow">if</span> (g_I[i][j] == i)</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  y_v[y_inds[i] + j] = <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(1.0);</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  }</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  }</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="comment">//compute m_v</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#af7b43cbe43e0371cea55b325b410c1b4">get_size</a>(g_J, m_sz);</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  std::vector<NumericT> m_v(m_sz, static_cast<cl_uint>(0));</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> </div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html">block_vector</a> y_v_vcl;</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html">block_vector</a> m_v_vcl;</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="comment">//prepearing memory for least square problem on GPU</span></div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  y_v_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="l00336"></a><span class="lineno"> 336</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>)*y_v.size()),</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  &(y_v[0]));</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  m_v_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="l00339"></a><span class="lineno"> 339</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>)*m_v.size()),</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  &(m_v[0]));</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  y_v_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="l00342"></a><span class="lineno"> 342</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*(g_I.size() + 1)),</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  &(y_inds[0]));</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</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="l00345"></a><span class="lineno"> 345</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*(g_is_update.size())),</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  &(g_is_update[0]));</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</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="l00348"></a><span class="lineno"> 348</span>  <a class="code" href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a> & ls_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_least_squares"</span>);</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  ls_kernel.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#ae2b841c487f9ddbfcfb6297d648e2d7f">local_work_size</a>(0, 1);</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  ls_kernel.<a class="code" href="classviennacl_1_1ocl_1_1kernel.html#a0144c18ae9f07722e5b5697335b7cff5">global_work_size</a>(0, 256);</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  <a class="code" href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a>(ls_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_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>(), m_v_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="l00352"></a><span class="lineno"> 352</span>  y_v_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#aa0ce491b163b7ae8b795fc1afa866752">handle</a>(), y_v_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="l00353"></a><span class="lineno"> 353</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_is_update_vcl,</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <span class="comment">//viennacl::ocl::local_mem(static_cast<unsigned int>(sizeof(ScalarType)*(local_r_n*local_c_n))),</span></div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(M_v.size())));</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="comment">//copy vector m_v back from GPU to CPU</span></div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  cl_int vcl_err = clEnqueueReadBuffer(opencl_ctx.<a class="code" href="classviennacl_1_1ocl_1_1context.html#af4f7f70a51d069f7796bd9b4bb2a852a">get_queue</a>().<a class="code" href="classviennacl_1_1ocl_1_1command__queue.html#a670f2d080528e50d64d3912567708754">handle</a>().<a class="code" href="classviennacl_1_1ocl_1_1handle.html#a5074caaee700015fc2d3b03540b01673">get</a>(),</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  m_v_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#a5074caaee700015fc2d3b03540b01673">get</a>(), CL_TRUE, 0,</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>)*(m_v.size()),</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  &(m_v[0]), 0, NULL, NULL);</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <a class="code" href="error_8hpp.html#a44f070f54255e72eb40c75ebd72ea602">VIENNACL_ERR_CHECK</a>(vcl_err);</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> </div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  <span class="comment">//fan out vector in parallel</span></div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="comment">//#pragma omp parallel for</span></div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> i = 0; i < static_cast<long>(M_v.size()); ++i)</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  {</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <span class="keywordflow">if</span> (g_is_update[static_cast<vcl_size_t>(i)])</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>  <span class="comment">//faned out onto sparse vector</span></div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4a5e501e0f8a2f6e2733b0c5df10c6ad">custom_fan_out</a>(m_v, m_inds[static_cast<vcl_size_t>(i)], g_J[static_cast<vcl_size_t>(i)], M_v[static_cast<vcl_size_t>(i)]);</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  g_res[<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="namespaceviennacl_1_1traits.html#a22ab64b1df12a9da0423e5cad52ea367">clear</a>();</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  compute_spai_residual<SparseVectorT, NumericT>(A_v_c, M_v[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)], static_cast<unsigned int>(i), g_res[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i)]);</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> res_norm = 0;</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <span class="comment">//compute norm of res - just to make sure that this implementatino works correct</span></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#a76346f2d37c99cdda3737ad76942bdb2">sparse_norm_2</a>(g_res[static_cast<vcl_size_t>(i)], res_norm);</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <span class="comment">//std::cout<<"Residual norm of column #: "<<i<<std::endl;</span></div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  <span class="comment">//std::cout<<res_norm<<std::endl;</span></div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <span class="comment">//std::cout<<"************************"<<std::endl;</span></div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</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)] = (res_norm > tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a843fed2740afd7054a8a920e52c925d4">getResidualNormThreshold</a>())&& (!tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a569f1c3abf3c151568dadef9cb06cfa9">getIsStatic</a>())?(1):(0);</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  }</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</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> </div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span> <span class="comment">//CPU based least square problems</span></div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span> <span class="comment"></span><span class="keyword">template</span><<span class="keyword">typename</span> SparseVectorT, <span class="keyword">typename</span> DenseMatrixT, <span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00398"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a18b9a595189ffa38d5acdaad6a286905"> 398</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a644c28fb7b3c4e677d86dc4b06388dab">least_square_solve</a>(std::vector<SparseVectorT> <span class="keyword">const</span> & A_v_c,</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  std::vector<DenseMatrixT> & g_R,</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  std::vector<VectorT> & g_b_v,</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  std::vector<std::vector<unsigned int> > & g_I,</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  std::vector<std::vector<unsigned int> > & g_J,</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  std::vector<SparseVectorT> & g_res,</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  std::vector<bool> & g_is_update,</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  std::vector<SparseVectorT> & M_v,</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</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="l00407"></a><span class="lineno"> 407</span> {</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> DenseMatrixT::value_type NumericType;</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span> </div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENMP</span></div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> <span class="preprocessor"> #pragma omp parallel for</span></div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> i2 = 0; i2 < static_cast<long>(M_v.size()); ++i2)</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  {</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = <span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(i2);</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <span class="keywordflow">if</span> (g_is_update[i])</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  {</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  VectorT y = boost::numeric::ublas::zero_vector<NumericType>(g_I[i].size());</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span> </div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  projectI<VectorT, NumericType>(g_I[i], y, <span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a24142e7e35cd912d6459e7642de2247f">getBegInd</a>() + long(i)));</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab3b64ba7bb53a1526cc852daf0d4d53e">apply_q_trans_vec</a>(g_R[i], g_b_v[i], y);</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>  VectorT m_new = boost::numeric::ublas::zero_vector<NumericType>(g_R[i].size2());</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6b348879ddf3c802a8fe03cc2539b43c">backwardSolve</a>(g_R[i], y, m_new);</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab19057ee4834fe816e96f0d52863cc45">fanOutVector</a>(m_new, g_J[i], M_v[i]);</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  g_res[i].clear();</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span> </div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  compute_spai_residual<SparseVectorT, NumericType>(A_v_c, M_v[i], <span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a24142e7e35cd912d6459e7642de2247f">getBegInd</a>() + long(i)), g_res[i]);</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> </div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  NumericType res_norm = 0;</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a76346f2d37c99cdda3737ad76942bdb2">sparse_norm_2</a>(g_res[i], res_norm);</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span> <span class="comment">// std::cout<<"Residual norm of column #: "<<i<<std::endl;</span></div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span> <span class="comment">// std::cout<<res_norm<<std::endl;</span></div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span> <span class="comment">// std::cout<<"************************"<<std::endl;</span></div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  g_is_update[i] = (res_norm > tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a843fed2740afd7054a8a920e52c925d4">getResidualNormThreshold</a>())&& (!tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a569f1c3abf3c151568dadef9cb06cfa9">getIsStatic</a>());</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  }</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  }</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span> }</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span> </div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span> <span class="comment">//************************************ UPDATE CHECK ***************************************************//</span></div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span> </div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span> <span class="keyword">template</span><<span class="keyword">typename</span> VectorType></div>
<div class="line"><a name="l00443"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aea8b96ecccca6f209e810669f0d13e36"> 443</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aea8b96ecccca6f209e810669f0d13e36">is_all_update</a>(VectorType& parallel_is_update)</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span> {</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < parallel_is_update.size(); ++i)</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  {</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  <span class="keywordflow">if</span> (parallel_is_update[i])</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  }</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span> }</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">//********************************** MATRIX VECTORIZATION ***********************************************//</span></div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span> </div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span> <span class="comment">//Matrix vectorization, column based approach</span></div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span> <span class="comment"></span><span class="keyword">template</span><<span class="keyword">typename</span> SparseMatrixT, <span class="keyword">typename</span> SparseVectorT></div>
<div class="line"><a name="l00462"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a1a76d81e5a1302f9d03949ea2783ee7d"> 462</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a1a76d81e5a1302f9d03949ea2783ee7d">vectorize_column_matrix</a>(SparseMatrixT <span class="keyword">const</span> & M_in,</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  std::vector<SparseVectorT> & M_v)</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span> {</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> SparseMatrixT::const_iterator1 row_it = M_in.begin1(); row_it!= M_in.end1(); ++row_it)</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> SparseMatrixT::const_iterator2 col_it = row_it.begin(); col_it != row_it.end(); ++col_it)</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  M_v[static_cast<unsigned int>(col_it.index2())][static_cast<unsigned int>(col_it.index1())] = *col_it;</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span> }</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> <span class="comment">//Matrix vectorization row based approach</span></div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseMatrixT, <span class="keyword">typename</span> SparseVectorT></div>
<div class="line"><a name="l00472"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a7c462e0ad109f5e23eb34982c2f91dd4"> 472</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a7c462e0ad109f5e23eb34982c2f91dd4">vectorize_row_matrix</a>(SparseMatrixT <span class="keyword">const</span> & M_in,</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  std::vector<SparseVectorT> & M_v)</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>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> SparseMatrixT::const_iterator1 row_it = M_in.begin1(); row_it!= M_in.end1(); ++row_it)</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> SparseMatrixT::const_iterator2 col_it = row_it.begin(); col_it != row_it.end(); ++col_it)</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  M_v[static_cast<unsigned int>(col_it.index1())][static_cast<unsigned int>(col_it.index2())] = *col_it;</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span> }</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> <span class="comment">//************************************* BLOCK ASSEMBLY CODE *********************************************//</span></div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span> </div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span> </div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span> <span class="keyword">template</span><<span class="keyword">typename</span> SizeT></div>
<div class="line"><a name="l00484"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a511597723c2d451fda55ff4ead99eaf0"> 484</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a511597723c2d451fda55ff4ead99eaf0">write_set_to_array</a>(std::vector<std::vector<SizeT> > <span class="keyword">const</span> & ind_set,</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  std::vector<cl_uint> & a)</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="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> cnt = 0;</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span> </div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < ind_set.size(); ++i)</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < ind_set[i].size(); ++j)</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  a[cnt++] = static_cast<cl_uint>(ind_set[i][j]);</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span> }</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span> </div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span> </div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span> </div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span> <span class="comment">//assembling blocks on GPU</span></div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span> <span class="comment"></span><span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00507"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#afe2919f83347787985e20e0599ba4296"> 507</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#afe2919f83347787985e20e0599ba4296">block_assembly</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="l00508"></a><span class="lineno"> 508</span>  std::vector<std::vector<unsigned int> > <span class="keyword">const</span> & g_J,</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  std::vector<std::vector<unsigned int> > <span class="keyword">const</span> & g_I,</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</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="l00511"></a><span class="lineno"> 511</span>  std::vector<cl_uint> & g_is_update,</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  <span class="keywordtype">bool</span> & is_empty_block)</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span> {</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  <span class="comment">//computing start indices for index sets and start indices for block matrices</span></div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> sz_I, sz_J, sz_blocks;</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</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="l00517"></a><span class="lineno"> 517</span>  std::vector<cl_uint> i_ind(g_I.size() + 1, <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(0));</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  std::vector<cl_uint> j_ind(g_I.size() + 1, <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(0));</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</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="l00520"></a><span class="lineno"> 520</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa47df1186969f6872fe0dcaf83d4982b">init_start_inds</a>(g_J, j_ind);</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa47df1186969f6872fe0dcaf83d4982b">init_start_inds</a>(g_I, i_ind);</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#af7b43cbe43e0371cea55b325b410c1b4">get_size</a>(g_J, sz_J);</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#af7b43cbe43e0371cea55b325b410c1b4">get_size</a>(g_I, sz_I);</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  std::vector<cl_uint> I_set(sz_I, static_cast<cl_uint>(0));</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  std::vector<cl_uint> J_set(sz_J, static_cast<cl_uint>(0));</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span> </div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  <span class="comment">// computing size for blocks</span></div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  <span class="comment">// writing set to arrays</span></div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a511597723c2d451fda55ff4ead99eaf0">write_set_to_array</a>(g_I, I_set);</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a511597723c2d451fda55ff4ead99eaf0">write_set_to_array</a>(g_J, J_set);</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span> </div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  <span class="comment">// if block for assembly does exist</span></div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  <span class="keywordflow">if</span> (I_set.size() > 0 && J_set.size() > 0)</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  {</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</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="l00539"></a><span class="lineno"> 539</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="l00540"></a><span class="lineno"> 540</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="l00541"></a><span class="lineno"> 541</span>  std::vector<NumericT> con_A_I_J(sz_blocks, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(0));</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_1linalg_1_1detail_1_1spai_1_1block__vector.html">block_vector</a> set_I_vcl, set_J_vcl;</div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  <span class="comment">//init memory on GPU</span></div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  <span class="comment">//contigious g_A_I_J</span></div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  g_A_I_J_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="l00547"></a><span class="lineno"> 547</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="l00548"></a><span class="lineno"> 548</span>  &(con_A_I_J[0]));</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  g_A_I_J_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="l00550"></a><span class="lineno"> 550</span> </div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  <span class="comment">//matrix_dimensions</span></div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  g_A_I_J_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="l00553"></a><span class="lineno"> 553</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*2*static_cast<cl_uint>(g_I.size())),</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  &(matrix_dims[0]));</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  g_A_I_J_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="l00556"></a><span class="lineno"> 556</span> </div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  <span class="comment">//start_block inds</span></div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  g_A_I_J_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="l00559"></a><span class="lineno"> 559</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*(g_I.size() + 1)),</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  &(blocks_ind[0]));</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  g_A_I_J_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="l00562"></a><span class="lineno"> 562</span> </div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  <span class="comment">//set_I</span></div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  set_I_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="l00565"></a><span class="lineno"> 565</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*sz_I),</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  &(I_set[0]));</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  set_I_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="l00568"></a><span class="lineno"> 568</span> </div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  <span class="comment">//set_J</span></div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  set_J_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="l00571"></a><span class="lineno"> 571</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*sz_J),</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  &(J_set[0]));</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  set_J_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="l00574"></a><span class="lineno"> 574</span> </div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  <span class="comment">//i_ind</span></div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  set_I_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="l00577"></a><span class="lineno"> 577</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*(g_I.size() + 1)),</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  &(i_ind[0]));</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  set_I_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="l00580"></a><span class="lineno"> 580</span> </div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  <span class="comment">//j_ind</span></div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  set_J_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="l00583"></a><span class="lineno"> 583</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*(g_I.size() + 1)),</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  &(j_ind[0]));</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  set_J_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="l00586"></a><span class="lineno"> 586</span> </div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</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="l00588"></a><span class="lineno"> 588</span>  static_cast<unsigned int>(<span class="keyword">sizeof</span>(cl_uint)*g_is_update.size()),</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  &(g_is_update[0]));</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="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="l00592"></a><span class="lineno"> 592</span>  <a class="code" href="classviennacl_1_1ocl_1_1kernel.html">viennacl::ocl::kernel</a>& 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">"assemble_blocks"</span>);</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  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="l00594"></a><span class="lineno"> 594</span>  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="l00595"></a><span class="lineno"> 595</span>  <a class="code" href="namespaceviennacl_1_1ocl.html#a5f2022f653ea1cf364d20e3ff84dcada">viennacl::ocl::enqueue</a>(assembly_kernel(A.<a class="code" href="classviennacl_1_1compressed__matrix.html#af71dec61a70e8df4f78a527aa989a106">handle1</a>().opencl_handle(), A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a91f5145351151a66f916bdc3901206f2">handle2</a>().opencl_handle(), A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a87a0ad5f26983b1c2d24ee302d886562">handle</a>().opencl_handle(),</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  set_I_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#aa0ce491b163b7ae8b795fc1afa866752">handle</a>(), set_J_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__vector.html#aa0ce491b163b7ae8b795fc1afa866752">handle</a>(), set_I_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="l00597"></a><span class="lineno"> 597</span>  set_J_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="l00598"></a><span class="lineno"> 598</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_vcl.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1block__matrix.html#a7c229ac4d94cfd69401ef72404b81ab6">handle1</a>(), g_A_I_J_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="l00599"></a><span class="lineno"> 599</span>  g_is_update_vcl,</div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</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="l00601"></a><span class="lineno"> 601</span>  is_empty_block = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  }</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  is_empty_block = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span> }</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> <span class="comment">/************************************************************************************************************************/</span></div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span> </div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseMatrixT, <span class="keyword">typename</span> SparseVectorT></div>
<div class="line"><a name="l00616"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a312ded5b57f112daa612d3b790cbc830"> 616</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a312ded5b57f112daa612d3b790cbc830">insert_sparse_columns</a>(std::vector<SparseVectorT> <span class="keyword">const</span> & M_v,</div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  SparseMatrixT& M,</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  <span class="keywordtype">bool</span> is_right)</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span> {</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  <span class="keywordflow">if</span> (is_right)</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  {</div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < M_v.size(); ++i)</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> SparseVectorT::const_iterator vec_it = M_v[i].begin(); vec_it!=M_v[i].end(); ++vec_it)</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  M(vec_it->first, i) = vec_it->second;</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  }</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  <span class="keywordflow">else</span> <span class="comment">//transposed fill of M</span></div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  {</div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < M_v.size(); ++i)</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> SparseVectorT::const_iterator vec_it = M_v[i].begin(); vec_it!=M_v[i].end(); ++vec_it)</div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  M(i, vec_it->first) = vec_it->second;</div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  }</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span> }</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span> </div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT></div>
<div class="line"><a name="l00640"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a934fa8b447e7836d4c9be2dd40c35390"> 640</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a934fa8b447e7836d4c9be2dd40c35390">sparse_transpose</a>(MatrixT <span class="keyword">const</span> & A_in, MatrixT & A)</div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span> {</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixT::value_type NumericType;</div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span> </div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  std::vector<std::map<vcl_size_t, NumericType> > temp_A(A_in.size2());</div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  A.resize(A_in.size2(), A_in.size1(), <span class="keyword">false</span>);</div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span> </div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> MatrixT::const_iterator1 row_it = A_in.begin1();</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  row_it != A_in.end1();</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  ++row_it)</div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  {</div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> MatrixT::const_iterator2 col_it = row_it.begin();</div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  col_it != row_it.end();</div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  ++col_it)</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>  temp_A[col_it.index2()][col_it.index1()] = *col_it;</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>  }</div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span> </div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i=0; i<temp_A.size(); ++i)</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="keywordflow">for</span> (<span class="keyword">typename</span> std::map<vcl_size_t, NumericType>::const_iterator it = temp_A[i].begin();</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  it != temp_A[i].end();</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  ++it)</div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  A(i, it->first) = it->second;</div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  }</div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span> }</div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span> </div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span> </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> </div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span> <span class="comment">// template<typename SparseVectorType></span></div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span> <span class="comment">// void custom_copy(std::vector<SparseVectorType> & M_v, std::vector<SparseVectorType> & l_M_v, const unsigned int beg_ind){</span></div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span> <span class="comment">// for (int i = 0; i < l_M_v.size(); ++i){</span></div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span> <span class="comment">// l_M_v[i] = M_v[i + beg_ind];</span></div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span> <span class="comment">// }</span></div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span> <span class="comment">// }</span></div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span> </div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span> <span class="comment">//CPU version</span></div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span> <span class="comment"></span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixT></div>
<div class="line"><a name="l00686"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4d52c5d84eb0f23619d0129c50412e82"> 686</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4d52c5d84eb0f23619d0129c50412e82">computeSPAI</a>(MatrixT <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  MatrixT & M,</div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html">spai_tag</a> & tag)</div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span> {</div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixT::value_type <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>;</div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> boost::numeric::ublas::vector<NumericT> VectorType;</div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1sparse__vector.html">viennacl::linalg::detail::spai::sparse_vector<NumericT></a> SparseVectorType;</div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> boost::numeric::ublas::matrix<NumericT> DenseMatrixType;</div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span> </div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  <span class="comment">//sparse matrix transpose...</span></div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> cur_iter = 0;</div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#ac2ac2c8f3841050ea14ea7a33aaffd7a">setBegInd</a>(0); tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a789a6acc05053ed7a943c496205cab01">setEndInd</a>(<a class="code" href="detail_2spai_2spai_8hpp.html#a1dda26d5d7af5cbba03485b2da3075b2">VIENNACL_SPAI_K_b</a>);</div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  <span class="keywordtype">bool</span> go_on = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  std::vector<SparseVectorType> A_v_c(M.size2());</div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  std::vector<SparseVectorType> M_v(M.size2());</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a1a76d81e5a1302f9d03949ea2783ee7d">vectorize_column_matrix</a>(A, A_v_c);</div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a1a76d81e5a1302f9d03949ea2783ee7d">vectorize_column_matrix</a>(M, M_v);</div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span> </div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span> </div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  <span class="keywordflow">while</span> (go_on)</div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  {</div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  go_on = (tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#ac40618e710c55201d35371ebf3a0dea4">getEndInd</a>() < <span class="keyword">static_cast<</span><span class="keywordtype">long</span><span class="keyword">></span>(M.size2()));</div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  cur_iter = 0;</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> l_sz = <span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#ac40618e710c55201d35371ebf3a0dea4">getEndInd</a>() - tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a24142e7e35cd912d6459e7642de2247f">getBegInd</a>());</div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  <span class="comment">//std::vector<bool> g_is_update(M.size2(), true);</span></div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  std::vector<bool> g_is_update(l_sz, <span class="keyword">true</span>);</div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span> </div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  <span class="comment">//init is update</span></div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  <span class="comment">//init_parallel_is_update(g_is_update);</span></div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  <span class="comment">//std::vector<SparseVectorType> A_v_c(K);</span></div>
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  <span class="comment">//std::vector<SparseVectorType> M_v(K);</span></div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  <span class="comment">//vectorization of marices</span></div>
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  <span class="comment">//print_matrix(M_v);</span></div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span> </div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  std::vector<SparseVectorType> l_M_v(l_sz);</div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  <span class="comment">//custom_copy(M_v, l_M_v, beg_ind);</span></div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">std::copy</a>(M_v.begin() + tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a24142e7e35cd912d6459e7642de2247f">getBegInd</a>(), M_v.begin() + tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#ac40618e710c55201d35371ebf3a0dea4">getEndInd</a>(), l_M_v.begin());</div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span> </div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  <span class="comment">//print_matrix(l_M_v);</span></div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  <span class="comment">//std::vector<SparseVectorType> l_A_v_c(K);</span></div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  <span class="comment">//custom_copy(A_v_c, l_A_v_c, beg_ind);</span></div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  <span class="comment">//std::copy(A_v_c.begin() + beg_ind, A_v_c.begin() + end_ind, l_A_v_c.begin());</span></div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  <span class="comment">//print_matrix(l_A_v_c);</span></div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>  <span class="comment">//vectorize_row_matrix(A, A_v_r);</span></div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>  <span class="comment">//working blocks</span></div>
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span> </div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>  std::vector<DenseMatrixType> g_A_I_J(l_sz);</div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  std::vector<VectorType> g_b_v(l_sz);</div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>  std::vector<SparseVectorType> g_res(l_sz);</div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  std::vector<std::vector<unsigned int> > g_I(l_sz);</div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>  std::vector<std::vector<unsigned int> > g_J(l_sz);</div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span> </div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>  <span class="keywordflow">while</span> ((cur_iter < tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#af673c1b818ccac0d79a41f3c24ac6cbb">getIterationLimit</a>())&&<a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aea8b96ecccca6f209e810669f0d13e36">is_all_update</a>(g_is_update))</div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>  {</div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>  <span class="comment">// SET UP THE BLOCKS..</span></div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>  <span class="comment">// PHASE ONE</span></div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  <span class="keywordflow">if</span> (cur_iter == 0)</div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a906b89d67f50b1adf349391bb62b7cf0">block_set_up</a>(A, A_v_c, l_M_v, g_I, g_J, g_A_I_J, g_b_v);</div>
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a8a63d610aebbcd68a76468e22e33ac83">block_update</a>(A, A_v_c, g_res, g_is_update, g_I, g_J, g_b_v, g_A_I_J, tag);</div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span> </div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  <span class="comment">//PHASE TWO, LEAST SQUARE SOLUTION</span></div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a644c28fb7b3c4e677d86dc4b06388dab">least_square_solve</a>(A_v_c, g_A_I_J, g_b_v, g_I, g_J, g_res, g_is_update, l_M_v, tag);</div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span> </div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span>  <span class="keywordflow">if</span> (tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a569f1c3abf3c151568dadef9cb06cfa9">getIsStatic</a>()) <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>  cur_iter++;</div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>  }</div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span> </div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">std::copy</a>(l_M_v.begin(), l_M_v.end(), M_v.begin() + tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a24142e7e35cd912d6459e7642de2247f">getBegInd</a>());</div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#ac2ac2c8f3841050ea14ea7a33aaffd7a">setBegInd</a>(tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#ac40618e710c55201d35371ebf3a0dea4">getEndInd</a>());<span class="comment">//beg_ind = end_ind;</span></div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>  tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a789a6acc05053ed7a943c496205cab01">setEndInd</a>(<a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#aef015779a92be597e546c3491cebf6c1">std::min</a>(static_cast<long>(tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a24142e7e35cd912d6459e7642de2247f">getBegInd</a>() + <a class="code" href="detail_2spai_2spai_8hpp.html#a1dda26d5d7af5cbba03485b2da3075b2">VIENNACL_SPAI_K_b</a>), static_cast<long>(M.size2())));</div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  <span class="comment">//std::copy(l_M_v.begin(), l_M_v.end(), M_v.begin() + tag.getBegInd());</span></div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>  }</div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span> </div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  M.resize(M.size1(), M.size2(), <span class="keyword">false</span>);</div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a312ded5b57f112daa612d3b790cbc830">insert_sparse_columns</a>(M_v, M, tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a218b5983408949dcb57b7008f1721170">getIsRight</a>());</div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span> }</div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span> </div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span> </div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span> <span class="comment">//GPU - based version</span></div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span> <span class="comment"></span><span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00775"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#af29f9f19dceffdd04a1ac530c6fbb4ed"> 775</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4d52c5d84eb0f23619d0129c50412e82">computeSPAI</a>(<a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT, AlignmentV></a> <span class="keyword">const</span> & A, <span class="comment">//input</span></div>
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  boost::numeric::ublas::compressed_matrix<NumericT> <span class="keyword">const</span> & cpu_A,</div>
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  boost::numeric::ublas::compressed_matrix<NumericT> & cpu_M, <span class="comment">//output</span></div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT, AlignmentV></a> & M,</div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</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="l00780"></a><span class="lineno"> 780</span> {</div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1sparse__vector.html">viennacl::linalg::detail::spai::sparse_vector<NumericT></a> SparseVectorType;</div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span> </div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  <span class="comment">//typedef typename viennacl::compressed_matrix<ScalarType> GPUSparseMatrixType;</span></div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>  <span class="comment">//sparse matrix transpose...</span></div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> cur_iter = 0;</div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  std::vector<cl_uint> g_is_update(cpu_M.size2(), <span class="keyword">static_cast<</span>cl_uint<span class="keyword">></span>(1));</div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>  <span class="comment">//init is update</span></div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  <span class="comment">//init_parallel_is_update(g_is_update);</span></div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  std::vector<SparseVectorType> A_v_c(cpu_M.size2());</div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  std::vector<SparseVectorType> M_v(cpu_M.size2());</div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a1a76d81e5a1302f9d03949ea2783ee7d">vectorize_column_matrix</a>(cpu_A, A_v_c);</div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a1a76d81e5a1302f9d03949ea2783ee7d">vectorize_column_matrix</a>(cpu_M, M_v);</div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  std::vector<SparseVectorType> g_res(cpu_M.size2());</div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  std::vector<std::vector<unsigned int> > g_I(cpu_M.size2());</div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  std::vector<std::vector<unsigned int> > g_J(cpu_M.size2());</div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span> </div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  <span class="comment">//OpenCL variables</span></div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</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="l00799"></a><span class="lineno"> 799</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="l00800"></a><span class="lineno"> 800</span>  <span class="keywordflow">while</span> ((cur_iter < tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#af673c1b818ccac0d79a41f3c24ac6cbb">getIterationLimit</a>())&&<a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aea8b96ecccca6f209e810669f0d13e36">is_all_update</a>(g_is_update))</div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>  {</div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  <span class="comment">// SET UP THE BLOCKS..</span></div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  <span class="comment">// PHASE ONE..</span></div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  <span class="comment">//timer.start();</span></div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  <span class="comment">//index set up on CPU</span></div>
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>  <span class="keywordflow">if</span> (cur_iter == 0)</div>
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a906b89d67f50b1adf349391bb62b7cf0">block_set_up</a>(A, A_v_c, M_v, g_is_update, g_I, g_J, g_A_I_J_vcl, g_bv_vcl);</div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a8a63d610aebbcd68a76468e22e33ac83">block_update</a>(A, A_v_c, g_is_update, g_res, g_J, g_I, g_A_I_J_vcl, g_bv_vcl, tag);</div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>  <span class="comment">//std::cout<<"Phase 2 timing: "<<timer.get()<<std::endl;</span></div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  <span class="comment">//PERFORM LEAST SQUARE problems solution</span></div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  <span class="comment">//PHASE TWO</span></div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  <span class="comment">//timer.start();</span></div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  least_square_solve<SparseVectorType, NumericT>(A_v_c, M_v, g_I, g_J, g_A_I_J_vcl, g_bv_vcl, g_res, g_is_update, tag, <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(A));</div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  <span class="comment">//std::cout<<"Phase 3 timing: "<<timer.get()<<std::endl;</span></div>
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  <span class="keywordflow">if</span> (tag.getIsStatic())</div>
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  cur_iter++;</div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>  }</div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span> </div>
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  cpu_M.resize(cpu_M.size1(), cpu_M.size2(), <span class="keyword">false</span>);</div>
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a312ded5b57f112daa612d3b790cbc830">insert_sparse_columns</a>(M_v, cpu_M, tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a218b5983408949dcb57b7008f1721170">getIsRight</a>());</div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>  <span class="comment">//copy back to GPU</span></div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>  M.<a class="code" href="classviennacl_1_1compressed__matrix.html#afcf49945a63836e1edfca536fcd191fb">resize</a>(static_cast<unsigned int>(cpu_M.size1()), static_cast<unsigned int>(cpu_M.size2()));</div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(cpu_M, M);</div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span> }</div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span> </div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span> }</div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span> }</div>
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span> }</div>
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span> }</div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</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_a312ded5b57f112daa612d3b790cbc830"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a312ded5b57f112daa612d3b790cbc830">viennacl::linalg::detail::spai::insert_sparse_columns</a></div><div class="ttdeci">void insert_sparse_columns(std::vector< SparseVectorT > const &M_v, SparseMatrixT &M, bool is_right)</div><div class="ttdoc">Insertion of vectorized matrix column into original sparse matrix. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00616">spai.hpp:616</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="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_aea8b96ecccca6f209e810669f0d13e36"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aea8b96ecccca6f209e810669f0d13e36">viennacl::linalg::detail::spai::is_all_update</a></div><div class="ttdeci">bool is_all_update(VectorType &parallel_is_update)</div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00443">spai.hpp:443</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_ada1688aeb8885254756bf80384a223ac"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ada1688aeb8885254756bf80384a223ac">viennacl::linalg::detail::spai::add_sparse_vectors</a></div><div class="ttdeci">void add_sparse_vectors(SparseVectorT const &v, NumericT b, SparseVectorT &res_v)</div><div class="ttdoc">Add two sparse vectors res_v = b*v. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00105">spai.hpp:105</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="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="classviennacl_1_1ocl_1_1context_html_af4f7f70a51d069f7796bd9b4bb2a852a"><div class="ttname"><a href="classviennacl_1_1ocl_1_1context.html#af4f7f70a51d069f7796bd9b4bb2a852a">viennacl::ocl::context::get_queue</a></div><div class="ttdeci">viennacl::ocl::command_queue & get_queue()</div><div class="ttdef"><b>Definition:</b> <a href="ocl_2context_8hpp_source.html#l00266">context.hpp:266</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="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="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a934fa8b447e7836d4c9be2dd40c35390"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a934fa8b447e7836d4c9be2dd40c35390">viennacl::linalg::detail::spai::sparse_transpose</a></div><div class="ttdeci">void sparse_transpose(MatrixT const &A_in, MatrixT &A)</div><div class="ttdoc">Transposition of sparse matrix. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00640">spai.hpp:640</a></div></div>
<div class="ttc" id="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="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_acaad1278cf03e43d711f0f24d9d454c9"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#acaad1278cf03e43d711f0f24d9d454c9">viennacl::linalg::detail::spai::build_index_set</a></div><div class="ttdeci">void build_index_set(std::vector< SparseVectorT > const &A_v_c, SparseVectorT const &v, std::vector< unsigned int > &J, std::vector< unsigned int > &I)</div><div class="ttdoc">Setting up index set of columns and rows for certain column. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00139">spai.hpp:139</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag_html_ac2ac2c8f3841050ea14ea7a33aaffd7a"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#ac2ac2c8f3841050ea14ea7a33aaffd7a">viennacl::linalg::detail::spai::spai_tag::setBegInd</a></div><div class="ttdeci">void setBegInd(long beg_ind)</div><div class="ttdef"><b>Definition:</b> <a href="spai__tag_8hpp_source.html#l00124">spai_tag.hpp:124</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a4d52c5d84eb0f23619d0129c50412e82"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4d52c5d84eb0f23619d0129c50412e82">viennacl::linalg::detail::spai::computeSPAI</a></div><div class="ttdeci">void computeSPAI(MatrixT const &A, MatrixT &M, spai_tag &tag)</div><div class="ttdoc">Construction of SPAI preconditioner on CPU. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00686">spai.hpp:686</a></div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1context_html"><div class="ttname"><a href="classviennacl_1_1ocl_1_1context.html">viennacl::ocl::context</a></div><div class="ttdoc">Manages an OpenCL context and provides the respective convenience functions for creating buffers...</div><div class="ttdef"><b>Definition:</b> <a href="ocl_2context_8hpp_source.html#l00055">context.hpp:55</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a4673473f615b2369ca4e14b1a6f98b5c"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4673473f615b2369ca4e14b1a6f98b5c">viennacl::linalg::detail::spai::compute_spai_residual</a></div><div class="ttdeci">void compute_spai_residual(std::vector< SparseVectorT > const &A_v_c, SparseVectorT const &v, unsigned int ind, SparseVectorT &res)</div><div class="ttdoc">Computation of residual res = A*v - e. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00120">spai.hpp:120</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_a4a5e501e0f8a2f6e2733b0c5df10c6ad"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a4a5e501e0f8a2f6e2733b0c5df10c6ad">viennacl::linalg::detail::spai::custom_fan_out</a></div><div class="ttdeci">void custom_fan_out(std::vector< NumericT > const &m_in, unsigned int start_m_ind, std::vector< unsigned int > const &J, SparseVectorT &m)</div><div class="ttdoc">Elicitation of sparse vector m for particular column from m_in - contigious vector for all columns...</div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00271">spai.hpp:271</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_a644c28fb7b3c4e677d86dc4b06388dab"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a644c28fb7b3c4e677d86dc4b06388dab">viennacl::linalg::detail::spai::least_square_solve</a></div><div class="ttdeci">void least_square_solve(std::vector< SparseVectorT > &A_v_c, std::vector< SparseVectorT > &M_v, std::vector< std::vector< unsigned int > > &g_I, std::vector< std::vector< unsigned int > > &g_J, block_matrix &g_A_I_J_vcl, block_vector &g_bv_vcl, std::vector< SparseVectorT > &g_res, std::vector< cl_uint > &g_is_update, const spai_tag &tag, viennacl::context ctx)</div><div class="ttdoc">Solution of Least square problem on GPU. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00298">spai.hpp:298</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a7c462e0ad109f5e23eb34982c2f91dd4"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a7c462e0ad109f5e23eb34982c2f91dd4">viennacl::linalg::detail::spai::vectorize_row_matrix</a></div><div class="ttdeci">void vectorize_row_matrix(SparseMatrixT const &M_in, std::vector< SparseVectorT > &M_v)</div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00472">spai.hpp:472</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a22ab64b1df12a9da0423e5cad52ea367"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a22ab64b1df12a9da0423e5cad52ea367">viennacl::traits::clear</a></div><div class="ttdeci">void clear(VectorType &vec)</div><div class="ttdoc">Generic routine for setting all entries of a vector to zero. This is the version for non-ViennaCL obj...</div><div class="ttdef"><b>Definition:</b> <a href="clear_8hpp_source.html#l00043">clear.hpp:43</a></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="sparse__vector_8hpp_html"><div class="ttname"><a href="sparse__vector_8hpp.html">sparse_vector.hpp</a></div><div class="ttdoc">Implementation of a helper sparse vector class for SPAI. Experimental. </div></div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html_a87a0ad5f26983b1c2d24ee302d886562"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html#a87a0ad5f26983b1c2d24ee302d886562">viennacl::compressed_matrix::handle</a></div><div class="ttdeci">const handle_type & handle() const </div><div class="ttdoc">Returns the OpenCL handle to the matrix entry array. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00942">compressed_matrix.hpp:942</a></div></div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html_af71dec61a70e8df4f78a527aa989a106"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html#af71dec61a70e8df4f78a527aa989a106">viennacl::compressed_matrix::handle1</a></div><div class="ttdeci">const handle_type & handle1() const </div><div class="ttdoc">Returns the OpenCL handle to the row index array. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00936">compressed_matrix.hpp:936</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a5dca466b626554c2b42bf25b500842e2"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a5dca466b626554c2b42bf25b500842e2">viennacl::linalg::detail::spai::print_matrix</a></div><div class="ttdeci">void print_matrix(DenseMatrixT &m)</div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00088">spai.hpp:88</a></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="classviennacl_1_1ocl_1_1command__queue_html_a670f2d080528e50d64d3912567708754"><div class="ttname"><a href="classviennacl_1_1ocl_1_1command__queue.html#a670f2d080528e50d64d3912567708754">viennacl::ocl::command_queue::handle</a></div><div class="ttdeci">viennacl::ocl::handle< cl_command_queue > const & handle() const </div><div class="ttdef"><b>Definition:</b> <a href="command__queue_8hpp_source.html#l00081">command_queue.hpp:81</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="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="error_8hpp_html_a44f070f54255e72eb40c75ebd72ea602"><div class="ttname"><a href="error_8hpp.html#a44f070f54255e72eb40c75ebd72ea602">VIENNACL_ERR_CHECK</a></div><div class="ttdeci">#define VIENNACL_ERR_CHECK(err)</div><div class="ttdef"><b>Definition:</b> <a href="error_8hpp_source.html#l00681">error.hpp:681</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_1_1linalg_1_1detail_1_1spai_html_ab3b64ba7bb53a1526cc852daf0d4d53e"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab3b64ba7bb53a1526cc852daf0d4d53e">viennacl::linalg::detail::spai::apply_q_trans_vec</a></div><div class="ttdeci">void apply_q_trans_vec(MatrixT const &R, VectorT const &b_v, VectorT &y)</div><div class="ttdoc">Recovery Q from matrix R and vector of betas b_v. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2qr_8hpp_source.html#l00377">qr.hpp:377</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="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_ae548ee7e9301caf3cc50ada65389bce0"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ae548ee7e9301caf3cc50ada65389bce0">viennacl::linalg::detail::spai::projectRows</a></div><div class="ttdeci">void projectRows(std::vector< SparseVectorT > const &A_v_c, std::vector< unsigned int > const &J, std::vector< unsigned int > &I)</div><div class="ttdoc">Row projection for matrix A(:,J) -> A(I,J), building index set of non-zero rows. </div><div class="ttdef"><b>Definition:</b> <a href="spai-static_8hpp_source.html#l00171">spai-static.hpp:171</a></div></div>
<div class="ttc" id="block__matrix_8hpp_html"><div class="ttname"><a href="block__matrix_8hpp.html">block_matrix.hpp</a></div><div class="ttdoc">Implementation of a bunch of (small) matrices on GPU. Experimental. </div></div>
<div class="ttc" id="classviennacl_1_1ocl_1_1handle_html_a5074caaee700015fc2d3b03540b01673"><div class="ttname"><a href="classviennacl_1_1ocl_1_1handle.html#a5074caaee700015fc2d3b03540b01673">viennacl::ocl::handle::get</a></div><div class="ttdeci">const OCL_TYPE & get() const </div><div class="ttdef"><b>Definition:</b> <a href="ocl_2handle_8hpp_source.html#l00191">handle.hpp:191</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a6b348879ddf3c802a8fe03cc2539b43c"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6b348879ddf3c802a8fe03cc2539b43c">viennacl::linalg::detail::spai::backwardSolve</a></div><div class="ttdeci">void backwardSolve(MatrixT const &R, VectorT const &y, VectorT &x)</div><div class="ttdoc">Solution of linear:R*x=y system by backward substitution. </div><div class="ttdef"><b>Definition:</b> <a href="spai-static_8hpp_source.html#l00102">spai-static.hpp:102</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="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag_html_ac40618e710c55201d35371ebf3a0dea4"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#ac40618e710c55201d35371ebf3a0dea4">viennacl::linalg::detail::spai::spai_tag::getEndInd</a></div><div class="ttdeci">long getEndInd() const </div><div class="ttdef"><b>Definition:</b> <a href="spai__tag_8hpp_source.html#l00098">spai_tag.hpp:98</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag_html_a218b5983408949dcb57b7008f1721170"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a218b5983408949dcb57b7008f1721170">viennacl::linalg::detail::spai::spai_tag::getIsRight</a></div><div class="ttdeci">bool getIsRight() const </div><div class="ttdef"><b>Definition:</b> <a href="spai__tag_8hpp_source.html#l00094">spai_tag.hpp:94</a></div></div>
<div class="ttc" id="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="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag_html_a24142e7e35cd912d6459e7642de2247f"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a24142e7e35cd912d6459e7642de2247f">viennacl::linalg::detail::spai::spai_tag::getBegInd</a></div><div class="ttdeci">long getBegInd() const </div><div class="ttdef"><b>Definition:</b> <a href="spai__tag_8hpp_source.html#l00096">spai_tag.hpp:96</a></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_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="classviennacl_1_1compressed__matrix_html_a91f5145351151a66f916bdc3901206f2"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html#a91f5145351151a66f916bdc3901206f2">viennacl::compressed_matrix::handle2</a></div><div class="ttdeci">const handle_type & handle2() const </div><div class="ttdoc">Returns the OpenCL handle to the column index array. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00938">compressed_matrix.hpp:938</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1sparse__vector_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1sparse__vector.html">viennacl::linalg::detail::spai::sparse_vector</a></div><div class="ttdoc">Represents a sparse vector based on std::map<unsigned int, NumericT> </div><div class="ttdef"><b>Definition:</b> <a href="sparse__vector_8hpp_source.html#l00050">sparse_vector.hpp:50</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="qr_8hpp_html"><div class="ttname"><a href="qr_8hpp.html">qr.hpp</a></div><div class="ttdoc">Provides a QR factorization using a block-based approach. </div></div>
<div class="ttc" id="spai__tag_8hpp_html"><div class="ttname"><a href="spai__tag_8hpp.html">spai_tag.hpp</a></div><div class="ttdoc">Implementation of the spai tag holding SPAI configuration parameters. Experimental. </div></div>
<div class="ttc" id="namespaceviennacl_html_a98a0afcc513111ffa0bd138f891930df"><div class="ttname"><a href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">viennacl::vcl_size_t</a></div><div class="ttdeci">std::size_t vcl_size_t</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00075">forwards.h:75</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag_html_a843fed2740afd7054a8a920e52c925d4"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a843fed2740afd7054a8a920e52c925d4">viennacl::linalg::detail::spai::spai_tag::getResidualNormThreshold</a></div><div class="ttdeci">double getResidualNormThreshold() const </div><div class="ttdef"><b>Definition:</b> <a href="spai__tag_8hpp_source.html#l00086">spai_tag.hpp:86</a></div></div>
<div class="ttc" id="detail_2spai_2spai_8hpp_html_a1dda26d5d7af5cbba03485b2da3075b2"><div class="ttname"><a href="detail_2spai_2spai_8hpp.html#a1dda26d5d7af5cbba03485b2da3075b2">VIENNACL_SPAI_K_b</a></div><div class="ttdeci">#define VIENNACL_SPAI_K_b</div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00068">spai.hpp:68</a></div></div>
<div class="ttc" id="backend_8hpp_html"><div class="ttname"><a href="backend_8hpp.html">backend.hpp</a></div><div class="ttdoc">Implementations of the OpenCL backend, where all contexts are stored in. </div></div>
<div class="ttc" id="classviennacl_1_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="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag_html_a569f1c3abf3c151568dadef9cb06cfa9"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a569f1c3abf3c151568dadef9cb06cfa9">viennacl::linalg::detail::spai::spai_tag::getIsStatic</a></div><div class="ttdeci">bool getIsStatic() const </div><div class="ttdef"><b>Definition:</b> <a href="spai__tag_8hpp_source.html#l00092">spai_tag.hpp:92</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a906b89d67f50b1adf349391bb62b7cf0"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a906b89d67f50b1adf349391bb62b7cf0">viennacl::linalg::detail::spai::block_set_up</a></div><div class="ttdeci">void block_set_up(SparseMatrixT const &A, std::vector< SparseVectorT > const &A_v_c, std::vector< SparseVectorT > const &M_v, std::vector< std::vector< unsigned int > > &g_I, std::vector< std::vector< unsigned int > > &g_J, std::vector< DenseMatrixT > &g_A_I_J, std::vector< VectorT > &g_b_v)</div><div class="ttdoc">Setting up blocks and QR factorizing them on CPU. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00181">spai.hpp:181</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag_html_a789a6acc05053ed7a943c496205cab01"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#a789a6acc05053ed7a943c496205cab01">viennacl::linalg::detail::spai::spai_tag::setEndInd</a></div><div class="ttdeci">void setEndInd(long end_ind)</div><div class="ttdef"><b>Definition:</b> <a href="spai__tag_8hpp_source.html#l00126">spai_tag.hpp:126</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_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_a511597723c2d451fda55ff4ead99eaf0"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a511597723c2d451fda55ff4ead99eaf0">viennacl::linalg::detail::spai::write_set_to_array</a></div><div class="ttdeci">void write_set_to_array(std::vector< std::vector< SizeT > > const &ind_set, std::vector< cl_uint > &a)</div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00484">spai.hpp:484</a></div></div>
<div class="ttc" id="namespaceviennacl_html_a10b7f8cf6b8864a7aa196d670481a453"><div class="ttname"><a href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a></div><div class="ttdeci">void copy(std::vector< NumericT > &cpu_vec, circulant_matrix< NumericT, AlignmentV > &gpu_mat)</div><div class="ttdoc">Copies a circulant matrix from the std::vector to the OpenCL device (either GPU or multi-core CPU) ...</div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00150">circulant_matrix.hpp:150</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_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="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_ab19057ee4834fe816e96f0d52863cc45"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab19057ee4834fe816e96f0d52863cc45">viennacl::linalg::detail::spai::fanOutVector</a></div><div class="ttdeci">void fanOutVector(VectorT const &m_in, std::vector< unsigned int > const &J, SparseVectorT &m)</div><div class="ttdoc">Projects solution of LS problem onto original column m. </div><div class="ttdef"><b>Definition:</b> <a href="spai-static_8hpp_source.html#l00088">spai-static.hpp:88</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a6ae3f653e6eacca58ccf36e972017d36"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6ae3f653e6eacca58ccf36e972017d36">viennacl::linalg::detail::spai::buildColumnIndexSet</a></div><div class="ttdeci">void buildColumnIndexSet(SparseVectorT const &v, std::vector< unsigned int > &J)</div><div class="ttdoc">Builds index set of projected columns for current column of preconditioner. </div><div class="ttdef"><b>Definition:</b> <a href="spai-static_8hpp_source.html#l00140">spai-static.hpp:140</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag_html_af673c1b818ccac0d79a41f3c24ac6cbb"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1spai_1_1spai__tag.html#af673c1b818ccac0d79a41f3c24ac6cbb">viennacl::linalg::detail::spai::spai_tag::getIterationLimit</a></div><div class="ttdeci">unsigned int getIterationLimit() const </div><div class="ttdef"><b>Definition:</b> <a href="spai__tag_8hpp_source.html#l00090">spai_tag.hpp:90</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_ae5d1da881af74993b78c433286b70a00"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ae5d1da881af74993b78c433286b70a00">viennacl::linalg::detail::spai::print_sparse_vector</a></div><div class="ttdeci">void print_sparse_vector(SparseVectorT const &v)</div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00081">spai.hpp:81</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a1a76d81e5a1302f9d03949ea2783ee7d"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a1a76d81e5a1302f9d03949ea2783ee7d">viennacl::linalg::detail::spai::vectorize_column_matrix</a></div><div class="ttdeci">void vectorize_column_matrix(SparseMatrixT const &M_in, std::vector< SparseVectorT > &M_v)</div><div class="ttdoc">Solution of Least square problem on CPU. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00462">spai.hpp:462</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="namespaceviennacl_1_1linalg_1_1detail_html_aef015779a92be597e546c3491cebf6c1"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#aef015779a92be597e546c3491cebf6c1">viennacl::linalg::detail::min</a></div><div class="ttdeci">T min(const T &lhs, const T &rhs)</div><div class="ttdoc">Minimum. </div><div class="ttdef"><b>Definition:</b> <a href="linalg_2detail_2bisect_2util_8hpp_source.html#l00045">util.hpp:45</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a6983ad76ea95e66ed94092bd05f44204"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6983ad76ea95e66ed94092bd05f44204">viennacl::linalg::detail::spai::index_set_up</a></div><div class="ttdeci">void index_set_up(std::vector< SparseVectorT > const &A_v_c, std::vector< SparseVectorT > const &M_v, std::vector< std::vector< unsigned int > > &g_J, std::vector< std::vector< unsigned int > > &g_I)</div><div class="ttdoc">Setting up index set of columns and rows for all columns. </div><div class="ttdef"><b>Definition:</b> <a href="detail_2spai_2spai_8hpp_source.html#l00211">spai.hpp:211</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="classviennacl_1_1compressed__matrix_html_afcf49945a63836e1edfca536fcd191fb"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html#afcf49945a63836e1edfca536fcd191fb">viennacl::compressed_matrix::resize</a></div><div class="ttdeci">void resize(vcl_size_t new_size1, vcl_size_t new_size2, bool preserve=true)</div><div class="ttdoc">Resize the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00829">compressed_matrix.hpp:829</a></div></div>
<div class="ttc" id="spai-dynamic_8hpp_html"><div class="ttname"><a href="spai-dynamic_8hpp.html">spai-dynamic.hpp</a></div><div class="ttdoc">Implementation of a dynamic SPAI. Provides the routines for automatic pattern updates Experimental...</div></div>
<div class="ttc" id="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_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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