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<div class="title">spai-static.hpp</div> </div>
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<a href="spai-static_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_STATIC_HPP</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_DETAIL_SPAI_SPAI_STATIC_HPP</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> </div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">/* =========================================================================</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> TU Wien.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> Portions of this software are copyright by UChicago Argonne, LLC.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"></span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> ViennaCL - The Vienna Computing Library</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> Project Head: Karl Rupp rupp@iue.tuwien.ac.at</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"></span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> (A list of authors and contributors can be found in the manual)</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"></span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> License: MIT (X11), see file LICENSE in the base directory</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">============================================================================= */</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <utility></span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <fstream></span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <string></span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <algorithm></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include <math.h></span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include <map></span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">//#include "spai-dynamic.hpp"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "boost/numeric/ublas/vector.hpp"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix.hpp"</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix_proxy.hpp"</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "boost/numeric/ublas/vector_proxy.hpp"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#include "boost/numeric/ublas/storage.hpp"</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#include "boost/numeric/ublas/io.hpp"</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#include "boost/numeric/ublas/lu.hpp"</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#include "boost/numeric/ublas/triangular.hpp"</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#include "boost/numeric/ublas/matrix_expression.hpp"</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// ViennaCL includes</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#include "<a class="code" href="matrix_8hpp.html">viennacl/matrix.hpp</a>"</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</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="l00049"></a><span class="lineno"> 49</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="l00050"></a><span class="lineno"> 50</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="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#include "<a class="code" href="scalar_8hpp.html">viennacl/scalar.hpp</a>"</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor">#include "<a class="code" href="cg_8hpp.html">viennacl/linalg/cg.hpp</a>"</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</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="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment">//#include "boost/numeric/ublas/detail/matrix_assign.hpp"</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> {</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> {</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="keyword">namespace </span>spai</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> {</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">template</span><<span class="keyword">typename</span> SizeT></div>
<div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a04773e48e2b2afdbeee55fdda179ff5c"> 72</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a04773e48e2b2afdbeee55fdda179ff5c">isInIndexSet</a>(std::vector<SizeT> <span class="keyword">const</span> & J, SizeT ind)</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="keywordflow">return</span> (std::find(J.begin(), J.end(), ind) != J.end());</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> </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">/********************************* STATIC SPAI FUNCTIONS******************************************/</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="keyword">template</span><<span class="keyword">typename</span> VectorT, <span class="keyword">typename</span> SparseVectorT></div>
<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab19057ee4834fe816e96f0d52863cc45"> 88</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab19057ee4834fe816e96f0d52863cc45">fanOutVector</a>(VectorT <span class="keyword">const</span> & m_in, std::vector<unsigned int> <span class="keyword">const</span> & J, SparseVectorT & 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="keywordtype">unsigned</span> <span class="keywordtype">int</span> cnt = 0;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</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="l00092"></a><span class="lineno"> 92</span>  m[J[i]] = m_in(cnt++);</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> }</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00102"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6b348879ddf3c802a8fe03cc2539b43c"> 102</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6b348879ddf3c802a8fe03cc2539b43c">backwardSolve</a>(MatrixT <span class="keyword">const</span> & R, VectorT <span class="keyword">const</span> & y, VectorT & x)</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> {</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> i2 = static_cast<long>(R.size2())-1; i2 >= 0; i2--)</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  {</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</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="l00107"></a><span class="lineno"> 107</span>  x(i) = y(i);</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = static_cast<vcl_size_t>(i)+1; j < R.size2(); ++j)</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  x(i) -= R(i,j)*x(j);</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>  x(i) /= R(i,i);</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  }</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> }</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="keyword">template</span><<span class="keyword">typename</span> VectorT, <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00122"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa448e23270c2fd92b9f6c9c4df359a6a"> 122</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa448e23270c2fd92b9f6c9c4df359a6a">projectI</a>(std::vector<unsigned int> <span class="keyword">const</span> & I, VectorT & y, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ind)</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> {</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</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="l00125"></a><span class="lineno"> 125</span>  {</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="comment">//y.resize(y.size()+1);</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordflow">if</span> (I[i] == ind)</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  y(i) = <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(1.0);</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  y(i) = <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(0.0);</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  }</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> }</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> </div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseVectorT></div>
<div class="line"><a name="l00140"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6ae3f653e6eacca58ccf36e972017d36"> 140</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a6ae3f653e6eacca58ccf36e972017d36">buildColumnIndexSet</a>(SparseVectorT <span class="keyword">const</span> & v, std::vector<unsigned int> & J)</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> {</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</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="l00143"></a><span class="lineno"> 143</span>  J.push_back(vec_it->first);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  std::sort(J.begin(), J.end());</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="l00153"></a><span class="lineno"> 153</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseMatrixT></div>
<div class="line"><a name="l00154"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab8477f662432b03c92b4287e3a4db3d6"> 154</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab8477f662432b03c92b4287e3a4db3d6">initPreconditioner</a>(SparseMatrixT <span class="keyword">const</span> & A, SparseMatrixT & M)</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> {</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseMatrixT::value_type NumericType;</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> </div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  M.resize(A.size1(), A.size2(), <span class="keyword">false</span>);</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> SparseMatrixT::const_iterator1 row_it = A.begin1(); row_it!= A.end1(); ++row_it)</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</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="l00161"></a><span class="lineno"> 161</span>  M(col_it.index1(),col_it.index2()) = NumericType(1);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> }</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseVectorT></div>
<div class="line"><a name="l00171"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ae548ee7e9301caf3cc50ada65389bce0"> 171</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ae548ee7e9301caf3cc50ada65389bce0">projectRows</a>(std::vector<SparseVectorT> <span class="keyword">const</span> & A_v_c,</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  std::vector<unsigned int> <span class="keyword">const</span> & J,</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  std::vector<unsigned int> & I)</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> {</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</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="l00176"></a><span class="lineno"> 176</span>  {</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> SparseVectorT::const_iterator col_it = A_v_c[J[i]].begin(); col_it!=A_v_c[J[i]].end(); ++col_it)</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  {</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a04773e48e2b2afdbeee55fdda179ff5c">isInIndexSet</a>(I, col_it->first))</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  I.push_back(col_it->first);</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  }</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  }</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  std::sort(I.begin(), I.end());</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> }</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> </div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> </div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> } <span class="comment">//namespace spai</span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> } <span class="comment">//namespace detail</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> } <span class="comment">//namespace linalg</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> } <span class="comment">//namespace viennacl</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> </div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="preprocessor">#endif</span></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="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="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="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="tests_2src_2bisect_8cpp_html_a52b5d30a2d7b064678644a3bf49b7f6c"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a></div><div class="ttdeci">float NumericT</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00040">bisect.cpp:40</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_a04773e48e2b2afdbeee55fdda179ff5c"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#a04773e48e2b2afdbeee55fdda179ff5c">viennacl::linalg::detail::spai::isInIndexSet</a></div><div class="ttdeci">bool isInIndexSet(std::vector< SizeT > const &J, SizeT ind)</div><div class="ttdoc">Determines if element ind is in set {J}. </div><div class="ttdef"><b>Definition:</b> <a href="spai-static_8hpp_source.html#l00072">spai-static.hpp:72</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_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="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="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="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="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_aa448e23270c2fd92b9f6c9c4df359a6a"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#aa448e23270c2fd92b9f6c9c4df359a6a">viennacl::linalg::detail::spai::projectI</a></div><div class="ttdeci">void projectI(std::vector< unsigned int > const &I, VectorT &y, unsigned int ind)</div><div class="ttdoc">Perform projection of set I on the unit-vector. </div><div class="ttdef"><b>Definition:</b> <a href="spai-static_8hpp_source.html#l00122">spai-static.hpp:122</a></div></div>
<div class="ttc" id="namespaceviennacl_html_a98a0afcc513111ffa0bd138f891930df"><div class="ttname"><a href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">viennacl::vcl_size_t</a></div><div class="ttdeci">std::size_t vcl_size_t</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00075">forwards.h:75</a></div></div>
<div class="ttc" id="cg_8hpp_html"><div class="ttname"><a href="cg_8hpp.html">cg.hpp</a></div><div class="ttdoc">The conjugate gradient method is implemented here. </div></div>
<div class="ttc" id="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="namespaceviennacl_1_1linalg_1_1detail_1_1spai_html_ab8477f662432b03c92b4287e3a4db3d6"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1spai.html#ab8477f662432b03c92b4287e3a4db3d6">viennacl::linalg::detail::spai::initPreconditioner</a></div><div class="ttdeci">void initPreconditioner(SparseMatrixT const &A, SparseMatrixT &M)</div><div class="ttdoc">Initialize preconditioner with sparcity pattern = p(A) </div><div class="ttdef"><b>Definition:</b> <a href="spai-static_8hpp_source.html#l00154">spai-static.hpp:154</a></div></div>
<div class="ttc" id="scalar_8hpp_html"><div class="ttname"><a href="scalar_8hpp.html">scalar.hpp</a></div><div class="ttdoc">Implementation of the ViennaCL scalar class. </div></div>
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