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<div class="title">amg_interpol.hpp</div> </div>
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<a href="amg__interpol_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_AMG_AMG_INTERPOL_HPP</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_DETAIL_AMG_AMG_INTERPOL_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) 2010-2014, 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 PDF 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 <boost/numeric/ublas/vector.hpp></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <cmath></span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="amg__base_8hpp.html">viennacl/linalg/detail/amg/amg_base.hpp</a>"</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <map></span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENMP</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <omp.h></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#endif</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="preprocessor">#include "<a class="code" href="amg__debug_8hpp.html">viennacl/linalg/detail/amg/amg_debug.hpp</a>"</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> {</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> {</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="keyword">namespace </span>amg</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> {</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">template</span><<span class="keyword">typename</span> InternalT1, <span class="keyword">typename</span> InternalT2></div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a16c2a1607c15fb838c5c32926007637f"> 53</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a16c2a1607c15fb838c5c32926007637f">amg_interpol</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> level, InternalT1 & A, InternalT1 & P, InternalT2 & pointvector, <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html">amg_tag</a> & tag)</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="keywordflow">switch</span> (tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html#a3204874bedb12cd942dc26b85380eb87">get_interpol</a>())</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="keywordflow">case</span> <a class="code" href="amg__base_8hpp.html#ad3edf1213f66c7bea46a89b5dee93d99">VIENNACL_AMG_INTERPOL_DIRECT</a>: <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#af81bf60199ec0634ff9a9f4c2503030c">amg_interpol_direct</a> (level, A, P, pointvector, tag); <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">case</span> <a class="code" href="amg__base_8hpp.html#aafe2063c3c80c193a6a617ab520bbea5">VIENNACL_AMG_INTERPOL_CLASSIC</a>: <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a15ec596386c25259f7b2063f76f45c59">amg_interpol_classic</a>(level, A, P, pointvector, tag); <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">case</span> <a class="code" href="amg__base_8hpp.html#a7dfb31a10fe16e0021572072b20c0892">VIENNACL_AMG_INTERPOL_AG</a>: <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#af4e86c7e9ec59d5fd6ed115346823140">amg_interpol_ag</a> (level, A, P, pointvector, tag); <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">case</span> <a class="code" href="amg__base_8hpp.html#a12ed6b08e348c1cf49c57c3a54640fd7">VIENNACL_AMG_INTERPOL_SA</a>: <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a0005bc329edd98b0e3a6af5fcc583384">amg_interpol_sa</a> (level, A, P, pointvector, tag); <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  }</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> }</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">template</span><<span class="keyword">typename</span> InternalT1, <span class="keyword">typename</span> InternalT2></div>
<div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#af81bf60199ec0634ff9a9f4c2503030c"> 72</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#af81bf60199ec0634ff9a9f4c2503030c">amg_interpol_direct</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> level, InternalT1 & A, InternalT1 & P, InternalT2 & pointvector, <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html">amg_tag</a> & tag)</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">typedef</span> <span class="keyword">typename</span> InternalT1::value_type SparseMatrixType;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="comment">//typedef typename InternalType2::value_type PointVectorType;</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseMatrixType::value_type <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseMatrixType::iterator1 InternalRowIterator;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseMatrixType::iterator2 InternalColIterator;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> c_points = pointvector[level].get_cpoints();</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">// Setup Prolongation/Interpolation matrix</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  P[level] = SparseMatrixType(static_cast<unsigned int>(A[level].<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>()), c_points);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  P[level].clear();</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>  <span class="comment">// Assign indices to C points</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  pointvector[level].build_index();</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="comment">// Direct Interpolation (Yang, p.14)</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENMP</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="preprocessor"> #pragma omp parallel for</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> x=0; x < static_cast<long>(pointvector[level].size()); ++x)</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  {</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html">amg_point</a> *pointx = pointvector[level][<span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(x)];</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="comment">/*if (A[level](x,x) > 0)</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment"> diag_sign = 1;</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment"> else</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="comment"> diag_sign = -1;*/</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">// When the current line corresponds to a C point then the diagonal coefficient is 1 and the rest 0</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordflow">if</span> (pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a6f653588e122b0b55659932e056467fb">is_cpoint</a>())</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  P[level](static_cast<unsigned int>(x),pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#ac45be93bcf9c901b517617d334324d3b">get_coarse_index</a>()) = 1;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> </div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="comment">// When the current line corresponds to a F point then the diagonal is 0 and the rest has to be computed (Yang, p.14)</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">if</span> (pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a41a489b84a2312c59086b71715b64cf5">is_fpoint</a>())</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  {</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="comment">// Jump to row x</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  InternalRowIterator row_iter = A[level].begin1();</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  row_iter += <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a>(x);</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> </div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="comment">// Row sum of coefficients (without diagonal) and sum of influencing C point coefficients has to be computed</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  ScalarType row_sum = 0;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  ScalarType c_sum = 0;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  ScalarType <a class="code" href="namespaceviennacl.html#a507d2ac469c79997f2bb6e82b37b7483">diag</a> = 0;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">for</span> (InternalColIterator col_iter = row_iter.begin(); col_iter != row_iter.end(); ++col_iter)</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  {</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordtype">long</span> y = <span class="keyword">static_cast<</span><span class="keywordtype">long</span><span class="keyword">></span>(col_iter.index2());</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">if</span> (x == y)<span class="comment">// || *col_iter * diag_sign > 0)</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  {</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  diag += *col_iter;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordflow">continue</span>;</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> </div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="comment">// Sum all other coefficients in line x</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  row_sum += *col_iter;</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>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html">amg_point</a> *pointy = pointvector[level][<span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(y)];</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="comment">// Sum all coefficients that correspond to a strongly influencing C point</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordflow">if</span> (pointy-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a6f653588e122b0b55659932e056467fb">is_cpoint</a>())</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordflow">if</span> (pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#ab65744219d3a0843e4f50761b86f462e">is_influencing</a>(pointy))</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  c_sum += *col_iter;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  }</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  ScalarType temp_res = -row_sum/(c_sum*<a class="code" href="namespaceviennacl.html#a507d2ac469c79997f2bb6e82b37b7483">diag</a>);</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> </div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="comment">// Iterate over all strongly influencing points of point x</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keywordflow">for</span> (<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector__iterator.html">amg_point::iterator</a> iter = pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#aebcfcb7d631f34b9e59c09934a546a06">begin_influencing</a>(); iter != pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a154fd093ef1198ae73ae8f8f3cea9893">end_influencing</a>(); ++iter)</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  {</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html">amg_point</a> *pointy = *iter;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="comment">// The value is only non-zero for columns that correspond to a C point</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordflow">if</span> (pointy-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a6f653588e122b0b55659932e056467fb">is_cpoint</a>())</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  {</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordflow">if</span> (temp_res > 0 || temp_res < 0)</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  P[level](<span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(x), pointy-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#ac45be93bcf9c901b517617d334324d3b">get_coarse_index</a>()) = temp_res * A[level](static_cast<unsigned int>(x),pointy-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a4a2203435b62bb2e6dec44aaf66404ce">get_index</a>());</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  }</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="l00148"></a><span class="lineno"> 148</span>  <span class="comment">//Truncate interpolation if chosen</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keywordflow">if</span> (tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html#a028844942c3dbd163ceb206e22762bdc">get_interpolweight</a>() > 0)</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#ada69ce5d90f4be980a82e177c2a62be1">amg_truncate_row</a>(P[level], static_cast<unsigned int>(x), tag);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  }</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  }</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="comment">// P test</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="comment">//test_interpolation(A[level], P[level], Pointvector[level]);</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="preprocessor"> #ifdef VIENNACL_AMG_DEBUG</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  std::cout << <span class="stringliteral">"Prolongation Matrix:"</span> << std::endl;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a640494c9b7567259cf495578a470afa4">printmatrix</a> (P[level]);</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> }</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> </div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="keyword">template</span><<span class="keyword">typename</span> InternalT1, <span class="keyword">typename</span> InternalT2></div>
<div class="line"><a name="l00171"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a15ec596386c25259f7b2063f76f45c59"> 171</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a15ec596386c25259f7b2063f76f45c59">amg_interpol_classic</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> level, InternalT1 & A, InternalT1 & P, InternalT2 & pointvector, <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html">amg_tag</a> & tag)</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> {</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> InternalT1::value_type SparseMatrixType;</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="comment">//typedef typename InternalType2::value_type PointVectorType;</span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseMatrixType::value_type <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseMatrixType::iterator1 InternalRowIterator;</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseMatrixType::iterator2 InternalColIterator;</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="keywordtype">unsigned</span> <span class="keywordtype">int</span> c_points = pointvector[level].get_cpoints();</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> </div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="comment">// Setup Prolongation/Interpolation matrix</span></div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  P[level] = SparseMatrixType(static_cast<unsigned int>(A[level].<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>()), c_points);</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  P[level].clear();</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>  <span class="comment">// Assign indices to C points</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  pointvector[level].build_index();</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="comment">// Classical Interpolation (Yang, p.13-14)</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> x=0; x < static_cast<long>(pointvector[level].size()); ++x)</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="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html">amg_point</a> *pointx = pointvector[level][<span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(x)];</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keywordtype">int</span> diag_sign = (A[level](<span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(x),static_cast<unsigned int>(x)) > 0) ? 1 : -1;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> </div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="comment">// When the current line corresponds to a C point then the diagonal coefficient is 1 and the rest 0</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">if</span> (pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a6f653588e122b0b55659932e056467fb">is_cpoint</a>())</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  P[level](static_cast<unsigned int>(x),pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#ac45be93bcf9c901b517617d334324d3b">get_coarse_index</a>()) = 1;</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>  <span class="comment">// When the current line corresponds to a F point then the diagonal is 0 and the rest has to be computed (Yang, p.14)</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keywordflow">if</span> (pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a41a489b84a2312c59086b71715b64cf5">is_fpoint</a>())</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  {</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="comment">// Jump to row x</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  InternalRowIterator row_iter = A[level].begin1();</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  row_iter += <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a>(x);</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> </div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  ScalarType weak_sum = 0;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector.html">amg_sparsevector<ScalarType></a> c_sum_row(static_cast<unsigned int>(A[level].<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>()));</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  c_sum_row.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector.html#a8dedbf19532e087e1a8c84993f46b137">clear</a>();</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordflow">for</span> (InternalColIterator col_iter = row_iter.begin(); col_iter != row_iter.end(); ++col_iter)</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  {</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keywordtype">long</span> k = <span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(col_iter.index2());</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html">amg_point</a> *pointk = pointvector[level][<span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(k)];</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="comment">// Sum of weakly influencing neighbors + diagonal coefficient</span></div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keywordflow">if</span> (x == k || !pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#ab65744219d3a0843e4f50761b86f462e">is_influencing</a>(pointk))<span class="comment">// || *col_iter * diag_sign > 0)</span></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  {</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  weak_sum += *col_iter;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  }</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> </div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="comment">// Sums of coefficients in row k (strongly influening F neighbors) of C point neighbors of x are calculated</span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keywordflow">if</span> (pointk-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a41a489b84a2312c59086b71715b64cf5">is_fpoint</a>() && pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#ab65744219d3a0843e4f50761b86f462e">is_influencing</a>(pointk))</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="keywordflow">for</span> (<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector__iterator.html">amg_point::iterator</a> iter = pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#aebcfcb7d631f34b9e59c09934a546a06">begin_influencing</a>(); iter != pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a154fd093ef1198ae73ae8f8f3cea9893">end_influencing</a>(); ++iter)</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  {</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html">amg_point</a> *pointm = *iter;</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="keywordtype">long</span> m = pointm-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a4a2203435b62bb2e6dec44aaf66404ce">get_index</a>();</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> </div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keywordflow">if</span> (pointm-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a6f653588e122b0b55659932e056467fb">is_cpoint</a>())</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="comment">// Only use coefficients that have opposite sign of diagonal.</span></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">if</span> (A[level](static_cast<unsigned int>(k),static_cast<unsigned int>(m)) * <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(diag_sign) < 0)</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  c_sum_row[static_cast<unsigned int>(k)] += A[level](<span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(k), static_cast<unsigned int>(m));</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  }</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  }</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  }</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> </div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="comment">// Iterate over all strongly influencing points of point x</span></div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keywordflow">for</span> (<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector__iterator.html">amg_point::iterator</a> iter = pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#aebcfcb7d631f34b9e59c09934a546a06">begin_influencing</a>(); iter != pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a154fd093ef1198ae73ae8f8f3cea9893">end_influencing</a>(); ++iter)</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  {</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html">amg_point</a> *pointy = *iter;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keywordtype">long</span> y = pointy-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a4a2203435b62bb2e6dec44aaf66404ce">get_index</a>();</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> </div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="comment">// The value is only non-zero for columns that correspond to a C point</span></div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keywordflow">if</span> (pointy-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a6f653588e122b0b55659932e056467fb">is_cpoint</a>())</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>  ScalarType strong_sum = 0;</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="comment">// Calculate term for strongly influencing F neighbors</span></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector__iterator.html">amg_sparsevector<ScalarType>::iterator</a> iter2 = c_sum_row.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector.html#a5747df01b74ee54ea08fbb787602eec6">begin</a>(); iter2 != c_sum_row.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector.html#a7f68808644315c6e89c4f77def6fdea0">end</a>(); ++iter2)</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  {</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keywordtype">long</span> k = iter2.index();</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="comment">// Only use coefficients that have opposite sign of diagonal.</span></div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keywordflow">if</span> (A[level](static_cast<unsigned int>(k),static_cast<unsigned int>(y)) * <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(diag_sign) < 0)</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  strong_sum += (A[level](<span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(x),static_cast<unsigned int>(k)) * A[level](static_cast<unsigned int>(k),<span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(y))) / (*iter2);</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">// Calculate coefficient</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  ScalarType temp_res = - (A[level](<span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(x),static_cast<unsigned int>(y)) + strong_sum) / (weak_sum);</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keywordflow">if</span> (temp_res < 0 || temp_res > 0)</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  P[level](<span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(x),pointy-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#ac45be93bcf9c901b517617d334324d3b">get_coarse_index</a>()) = temp_res;</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  }</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  }</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> </div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="comment">//Truncate iteration if chosen</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="keywordflow">if</span> (tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html#a028844942c3dbd163ceb206e22762bdc">get_interpolweight</a>() > 0)</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#ada69ce5d90f4be980a82e177c2a62be1">amg_truncate_row</a>(P[level], static_cast<unsigned int>(x), tag);</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  }</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  }</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> </div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="preprocessor"> #ifdef VIENNACL_AMG_DEBUG</span></div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  std::cout << <span class="stringliteral">"Prolongation Matrix:"</span> << std::endl;</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a640494c9b7567259cf495578a470afa4">printmatrix</a> (P[level]);</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> }</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> </div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span> <span class="keyword">template</span><<span class="keyword">typename</span> SparseMatrixT></div>
<div class="line"><a name="l00285"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#ada69ce5d90f4be980a82e177c2a62be1"> 285</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#ada69ce5d90f4be980a82e177c2a62be1">amg_truncate_row</a>(SparseMatrixT & P, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="namespaceviennacl.html#a0a574e6cd04ca0e42298b4ab845700e4">row</a>, <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html">amg_tag</a> & tag)</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> {</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseMatrixT::value_type <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseMatrixT::iterator1 InternalRowIterator;</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseMatrixT::iterator2 InternalColIterator;</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> </div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  ScalarType row_max, row_min, row_sum_pos, row_sum_neg, row_sum_pos_scale, row_sum_neg_scale;</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> </div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  InternalRowIterator row_iter = P.begin1();</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  row_iter += <a class="code" href="namespaceviennacl.html#a0a574e6cd04ca0e42298b4ab845700e4">row</a>;</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> </div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  row_max = 0;</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  row_min = 0;</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  row_sum_pos = 0;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  row_sum_neg = 0;</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> </div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="comment">// Truncate interpolation by making values to zero that are a lot smaller than the biggest value in a row</span></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="comment">// Determine max entry and sum of row (seperately for negative and positive entries)</span></div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="keywordflow">for</span> (InternalColIterator col_iter = row_iter.begin(); col_iter != row_iter.end(); ++col_iter)</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  {</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keywordflow">if</span> (*col_iter > row_max)</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  row_max = *col_iter;</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keywordflow">if</span> (*col_iter < row_min)</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  row_min = *col_iter;</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="keywordflow">if</span> (*col_iter > 0)</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  row_sum_pos += *col_iter;</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keywordflow">if</span> (*col_iter < 0)</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  row_sum_neg += *col_iter;</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> </div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  row_sum_pos_scale = row_sum_pos;</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  row_sum_neg_scale = row_sum_neg;</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">// Make certain values to zero (seperately for negative and positive entries)</span></div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="keywordflow">for</span> (InternalColIterator col_iter = row_iter.begin(); col_iter != row_iter.end(); ++col_iter)</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  {</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keywordflow">if</span> (*col_iter > 0 && *col_iter < tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html#a028844942c3dbd163ceb206e22762bdc">get_interpolweight</a>() * row_max)</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  {</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  row_sum_pos_scale -= *col_iter;</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  *col_iter = 0;</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  }</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="keywordflow">if</span> (*col_iter < 0 && *col_iter > tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html#a028844942c3dbd163ceb206e22762bdc">get_interpolweight</a>() * row_min)</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>  row_sum_pos_scale -= *col_iter;</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  *col_iter = 0;</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  }</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> </div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <span class="comment">// Scale remaining values such that row sum is unchanged</span></div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="keywordflow">for</span> (InternalColIterator col_iter = row_iter.begin(); col_iter != row_iter.end(); ++col_iter)</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  {</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keywordflow">if</span> (*col_iter > 0)</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  *col_iter = *col_iter *(row_sum_pos/row_sum_pos_scale);</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keywordflow">if</span> (*col_iter < 0)</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  *col_iter = *col_iter *(row_sum_neg/row_sum_neg_scale);</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  }</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span> }</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span> </div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="keyword">template</span><<span class="keyword">typename</span> InternalT1, <span class="keyword">typename</span> InternalT2></div>
<div class="line"><a name="l00350"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#af4e86c7e9ec59d5fd6ed115346823140"> 350</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#af4e86c7e9ec59d5fd6ed115346823140">amg_interpol_ag</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> level, InternalT1 & A, InternalT1 & P, InternalT2 & pointvector, <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html">amg_tag</a>)</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> {</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> InternalT1::value_type SparseMatrixType;</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <span class="comment">//typedef typename InternalType2::value_type PointVectorType;</span></div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <span class="comment">//typedef typename SparseMatrixType::value_type ScalarType;</span></div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <span class="comment">//typedef typename SparseMatrixType::iterator1 InternalRowIterator;</span></div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="comment">//typedef typename SparseMatrixType::iterator2 InternalColIterator;</span></div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span> </div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> c_points = pointvector[level].get_cpoints();</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span> </div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  P[level] = SparseMatrixType(static_cast<unsigned int>(A[level].<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>()), c_points);</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  P[level].clear();</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">// Assign indices to C points</span></div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  pointvector[level].build_index();</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span> </div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="comment">// Set prolongation such that F point is interpolated (weight=1) by the aggregate it belongs to (Vanek et al p.6)</span></div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENMP</span></div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> <span class="preprocessor"> #pragma omp parallel for</span></div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> x=0; x<static_cast<long>(pointvector[level].size()); ++x)</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  {</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html">amg_point</a> *pointx = pointvector[level][<span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(x)];</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html">amg_point</a> *pointy = pointvector[level][pointx-><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a953f19b0f09c311571ccc0f429a81c31">get_aggregate</a>()];</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <span class="comment">// Point x belongs to aggregate y.</span></div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  P[level](<span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(x), pointy->get_coarse_index()) = 1;</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  }</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> </div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> <span class="preprocessor"> #ifdef VIENNACL_AMG_DEBUG</span></div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  std::cout << <span class="stringliteral">"Aggregation based Prolongation:"</span> << std::endl;</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a640494c9b7567259cf495578a470afa4">printmatrix</a>(P[level]);</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> <span class="preprocessor"> #endif</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="l00391"></a><span class="lineno"> 391</span> <span class="keyword">template</span><<span class="keyword">typename</span> InternalT1, <span class="keyword">typename</span> InternalT2></div>
<div class="line"><a name="l00392"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a0005bc329edd98b0e3a6af5fcc583384"> 392</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a0005bc329edd98b0e3a6af5fcc583384">amg_interpol_sa</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> level, InternalT1 & A, InternalT1 & P, InternalT2 & pointvector, <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html">amg_tag</a> & tag)</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span> {</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> InternalT1::value_type SparseMatrixType;</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="comment">//typedef typename InternalType2::value_type PointVectorType;</span></div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseMatrixType::value_type <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseMatrixType::iterator1 InternalRowIterator;</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> SparseMatrixType::iterator2 InternalColIterator;</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span> </div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> c_points = pointvector[level].get_cpoints();</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span> </div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  InternalT1 P_tentative = InternalT1(P.size());</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  SparseMatrixType Jacobi = SparseMatrixType(static_cast<unsigned int>(A[level].<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>()), static_cast<unsigned int>(A[level].<a class="code" href="namespaceviennacl_1_1traits.html#a3658e7c29ac0f60a20cb5871f5b5fd98">size2</a>()));</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  Jacobi.clear();</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  P[level] = SparseMatrixType(static_cast<unsigned int>(A[level].<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>()), c_points);</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  P[level].clear();</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="comment">// Build Jacobi Matrix via filtered A matrix (Vanek et al. p.6)</span></div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENMP</span></div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span> <span class="preprocessor"> #pragma omp parallel for</span></div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> x=0; x<static_cast<long>(A[level].size1()); ++x)</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  {</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  ScalarType <a class="code" href="namespaceviennacl.html#a507d2ac469c79997f2bb6e82b37b7483">diag</a> = 0;</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  InternalRowIterator row_iter = A[level].begin1();</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  row_iter += <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a>(x);</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  <span class="keywordflow">for</span> (InternalColIterator col_iter = row_iter.begin(); col_iter != row_iter.end(); ++col_iter)</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  {</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  <span class="keywordtype">long</span> y = <span class="keyword">static_cast<</span><span class="keywordtype">long</span><span class="keyword">></span>(col_iter.index2());</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  <span class="comment">// Determine the structure of the Jacobi matrix by using a filtered matrix of A:</span></div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  <span class="comment">// The diagonal consists of the diagonal coefficient minus all coefficients of points not in the neighborhood of x.</span></div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  <span class="comment">// All other coefficients are the same as in A.</span></div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <span class="comment">// Already use Jacobi matrix to save filtered A matrix to speed up computation.</span></div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  <span class="keywordflow">if</span> (x == y)</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  diag += *col_iter;</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (!pointvector[level][static_cast<unsigned int>(x)]->is_influencing(pointvector[level][static_cast<unsigned int>(y)]))</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  diag += -*col_iter;</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  Jacobi (static_cast<unsigned int>(x), static_cast<unsigned int>(y)) = *col_iter;</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  }</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  InternalRowIterator row_iter2 = Jacobi.begin1();</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  row_iter2 += <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a>(x);</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  <span class="comment">// Traverse through filtered A matrix and compute the Jacobi filtering</span></div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  <span class="keywordflow">for</span> (InternalColIterator col_iter2 = row_iter2.begin(); col_iter2 != row_iter2.end(); ++col_iter2)</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  {</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  *col_iter2 = - <span class="keyword">static_cast<</span>ScalarType<span class="keyword">></span>(tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html#a028844942c3dbd163ceb206e22762bdc">get_interpolweight</a>())/diag * *col_iter2;</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>  <span class="comment">// Diagonal can be computed seperately.</span></div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  Jacobi (static_cast<unsigned int>(x), static_cast<unsigned int>(x)) = 1 - <span class="keyword">static_cast<</span>ScalarType<span class="keyword">></span>(tag.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html#a028844942c3dbd163ceb206e22762bdc">get_interpolweight</a>());</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</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="preprocessor"> #ifdef VIENNACL_AMG_DEBUG</span></div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  std::cout << <span class="stringliteral">"Jacobi Matrix:"</span> << std::endl;</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a640494c9b7567259cf495578a470afa4">printmatrix</a>(Jacobi);</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span> <span class="preprocessor"> #endif</span></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="comment">// Use AG interpolation as tentative prolongation</span></div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#af4e86c7e9ec59d5fd6ed115346823140">amg_interpol_ag</a>(level, A, P_tentative, pointvector, tag);</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="preprocessor"> #ifdef VIENNACL_AMG_DEBUG</span></div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  std::cout << <span class="stringliteral">"Tentative Prolongation:"</span> << std::endl;</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a640494c9b7567259cf495578a470afa4">printmatrix</a>(P_tentative[level]);</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span> <span class="preprocessor"> #endif</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">// Multiply Jacobi matrix with tentative prolongation to get actual prolongation</span></div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a8d65ceb053c1cb832194132295b8aff6">amg_mat_prod</a>(Jacobi,P_tentative[level],P[level]);</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span> </div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span> <span class="preprocessor"> #ifdef VIENNACL_AMG_DEBUG</span></div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  std::cout << <span class="stringliteral">"Prolongation Matrix:"</span> << std::endl;</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a640494c9b7567259cf495578a470afa4">printmatrix</a>(P[level]);</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span> <span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span> }</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span> </div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span> } <span class="comment">//namespace amg</span></div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span> } <span class="comment">//namespace detail</span></div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span> } <span class="comment">//namespace linalg</span></div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span> } <span class="comment">//namespace viennacl</span></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> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="amg__base_8hpp_html_a12ed6b08e348c1cf49c57c3a54640fd7"><div class="ttname"><a href="amg__base_8hpp.html#a12ed6b08e348c1cf49c57c3a54640fd7">VIENNACL_AMG_INTERPOL_SA</a></div><div class="ttdeci">#define VIENNACL_AMG_INTERPOL_SA</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00049">amg_base.hpp:49</a></div></div>
<div class="ttc" id="amg__debug_8hpp_html"><div class="ttname"><a href="amg__debug_8hpp.html">amg_debug.hpp</a></div><div class="ttdoc">Debug functionality for AMG. To be removed. </div></div>
<div class="ttc" id="amg__base_8hpp_html_a7dfb31a10fe16e0021572072b20c0892"><div class="ttname"><a href="amg__base_8hpp.html#a7dfb31a10fe16e0021572072b20c0892">VIENNACL_AMG_INTERPOL_AG</a></div><div class="ttdeci">#define VIENNACL_AMG_INTERPOL_AG</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00048">amg_base.hpp:48</a></div></div>
<div class="ttc" id="amg__base_8hpp_html_ad3edf1213f66c7bea46a89b5dee93d99"><div class="ttname"><a href="amg__base_8hpp.html#ad3edf1213f66c7bea46a89b5dee93d99">VIENNACL_AMG_INTERPOL_DIRECT</a></div><div class="ttdeci">#define VIENNACL_AMG_INTERPOL_DIRECT</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00046">amg_base.hpp:46</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html">viennacl::linalg::detail::amg::amg_point</a></div><div class="ttdoc">A class for the AMG points. Saves point index and influence measure Holds information whether point i...</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00827">amg_base.hpp:827</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point_html_a6f653588e122b0b55659932e056467fb"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a6f653588e122b0b55659932e056467fb">viennacl::linalg::detail::amg::amg_point::is_cpoint</a></div><div class="ttdeci">bool is_cpoint() const </div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00869">amg_base.hpp:869</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_aa756f5d6820722094cae0d8b9bb6d5e2"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">viennacl::traits::size1</a></div><div class="ttdeci">vcl_size_t size1(MatrixType const &mat)</div><div class="ttdoc">Generic routine for obtaining the number of rows of a matrix (ViennaCL, uBLAS, etc.) </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00216">size.hpp:216</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point_html_a953f19b0f09c311571ccc0f429a81c31"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a953f19b0f09c311571ccc0f429a81c31">viennacl::linalg::detail::amg::amg_point::get_aggregate</a></div><div class="ttdeci">unsigned int get_aggregate()</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00867">amg_base.hpp:867</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector.html">viennacl::linalg::detail::amg::amg_sparsevector</a></div><div class="ttdoc">A class for the sparse vector type. </div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00260">amg_base.hpp:260</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1amg_html_af4e86c7e9ec59d5fd6ed115346823140"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#af4e86c7e9ec59d5fd6ed115346823140">viennacl::linalg::detail::amg::amg_interpol_ag</a></div><div class="ttdeci">void amg_interpol_ag(unsigned int level, InternalT1 &A, InternalT1 &P, InternalT2 &pointvector, amg_tag)</div><div class="ttdoc">AG (aggregation based) interpolation. Multi-Threaded! (VIENNACL_INTERPOL_SA) </div><div class="ttdef"><b>Definition:</b> <a href="amg__interpol_8hpp_source.html#l00350">amg_interpol.hpp:350</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point_html_ac45be93bcf9c901b517617d334324d3b"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#ac45be93bcf9c901b517617d334324d3b">viennacl::linalg::detail::amg::amg_point::get_coarse_index</a></div><div class="ttdeci">unsigned int get_coarse_index() const </div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00888">amg_base.hpp:888</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point_html_a41a489b84a2312c59086b71715b64cf5"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a41a489b84a2312c59086b71715b64cf5">viennacl::linalg::detail::amg::amg_point::is_fpoint</a></div><div class="ttdeci">bool is_fpoint() const </div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00870">amg_base.hpp:870</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1amg_html_a0005bc329edd98b0e3a6af5fcc583384"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a0005bc329edd98b0e3a6af5fcc583384">viennacl::linalg::detail::amg::amg_interpol_sa</a></div><div class="ttdeci">void amg_interpol_sa(unsigned int level, InternalT1 &A, InternalT1 &P, InternalT2 &pointvector, amg_tag &tag)</div><div class="ttdoc">SA (smoothed aggregate) interpolation. Multi-Threaded! (VIENNACL_INTERPOL_SA) </div><div class="ttdef"><b>Definition:</b> <a href="amg__interpol_8hpp_source.html#l00392">amg_interpol.hpp:392</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a3658e7c29ac0f60a20cb5871f5b5fd98"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a3658e7c29ac0f60a20cb5871f5b5fd98">viennacl::traits::size2</a></div><div class="ttdeci">result_of::size_type< MatrixType >::type size2(MatrixType const &mat)</div><div class="ttdoc">Generic routine for obtaining the number of columns of a matrix (ViennaCL, uBLAS, etc...</div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00245">size.hpp:245</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector_html_a7f68808644315c6e89c4f77def6fdea0"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector.html#a7f68808644315c6e89c4f77def6fdea0">viennacl::linalg::detail::amg::amg_sparsevector::end</a></div><div class="ttdeci">iterator end()</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00363">amg_base.hpp:363</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point_html_ab65744219d3a0843e4f50761b86f462e"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#ab65744219d3a0843e4f50761b86f462e">viennacl::linalg::detail::amg::amg_point::is_influencing</a></div><div class="ttdeci">bool is_influencing(amg_point *point) const </div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00876">amg_base.hpp:876</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html">viennacl::linalg::detail::amg::amg_tag</a></div><div class="ttdoc">A tag for algebraic multigrid (AMG). Used to transport information from the user to the implementatio...</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00061">amg_base.hpp:61</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1amg_html_a16c2a1607c15fb838c5c32926007637f"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a16c2a1607c15fb838c5c32926007637f">viennacl::linalg::detail::amg::amg_interpol</a></div><div class="ttdeci">void amg_interpol(unsigned int level, InternalT1 &A, InternalT1 &P, InternalT2 &pointvector, amg_tag &tag)</div><div class="ttdoc">Calls the right function to build interpolation matrix. </div><div class="ttdef"><b>Definition:</b> <a href="amg__interpol_8hpp_source.html#l00053">amg_interpol.hpp:53</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag_html_a3204874bedb12cd942dc26b85380eb87"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html#a3204874bedb12cd942dc26b85380eb87">viennacl::linalg::detail::amg::amg_tag::get_interpol</a></div><div class="ttdeci">unsigned int get_interpol() const </div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00093">amg_base.hpp:93</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point_html_aebcfcb7d631f34b9e59c09934a546a06"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#aebcfcb7d631f34b9e59c09934a546a06">viennacl::linalg::detail::amg::amg_point::begin_influencing</a></div><div class="ttdeci">iterator begin_influencing()</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00918">amg_base.hpp:918</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector_html_a5747df01b74ee54ea08fbb787602eec6"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector.html#a5747df01b74ee54ea08fbb787602eec6">viennacl::linalg::detail::amg::amg_sparsevector::begin</a></div><div class="ttdeci">iterator begin()</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00361">amg_base.hpp:361</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1amg_html_ada69ce5d90f4be980a82e177c2a62be1"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#ada69ce5d90f4be980a82e177c2a62be1">viennacl::linalg::detail::amg::amg_truncate_row</a></div><div class="ttdeci">void amg_truncate_row(SparseMatrixT &P, unsigned int row, amg_tag &tag)</div><div class="ttdoc">Interpolation truncation (for VIENNACL_AMG_INTERPOL_DIRECT and VIENNACL_AMG_INTERPOL_CLASSIC) ...</div><div class="ttdef"><b>Definition:</b> <a href="amg__interpol_8hpp_source.html#l00285">amg_interpol.hpp:285</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#l00074">forwards.h:74</a></div></div>
<div class="ttc" id="namespaceviennacl_html_a507d2ac469c79997f2bb6e82b37b7483"><div class="ttname"><a href="namespaceviennacl.html#a507d2ac469c79997f2bb6e82b37b7483">viennacl::diag</a></div><div class="ttdeci">vector_expression< const matrix_base< NumericT >, const int, op_matrix_diag > diag(const matrix_base< NumericT > &A, int k=0)</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8hpp_source.html#l00838">matrix.hpp:838</a></div></div>
<div class="ttc" id="namespaceviennacl_html_a0a574e6cd04ca0e42298b4ab845700e4"><div class="ttname"><a href="namespaceviennacl.html#a0a574e6cd04ca0e42298b4ab845700e4">viennacl::row</a></div><div class="ttdeci">vector_expression< const matrix_base< NumericT, F >, const unsigned int, op_row > row(const matrix_base< NumericT, F > &A, unsigned int i)</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8hpp_source.html#l00853">matrix.hpp:853</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector_html_a8dedbf19532e087e1a8c84993f46b137"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector.html#a8dedbf19532e087e1a8c84993f46b137">viennacl::linalg::detail::amg::amg_sparsevector::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00297">amg_base.hpp:297</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag_html_a028844942c3dbd163ceb206e22762bdc"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__tag.html#a028844942c3dbd163ceb206e22762bdc">viennacl::linalg::detail::amg::amg_tag::get_interpolweight</a></div><div class="ttdeci">double get_interpolweight() const </div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00099">amg_base.hpp:99</a></div></div>
<div class="ttc" id="fft__1d_8cpp_html_ad5c19ca4f47d3f8ec21232a5af2624e5"><div class="ttname"><a href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a></div><div class="ttdeci">float ScalarType</div><div class="ttdef"><b>Definition:</b> <a href="fft__1d_8cpp_source.html#l00042">fft_1d.cpp:42</a></div></div>
<div class="ttc" id="amg__base_8hpp_html_aafe2063c3c80c193a6a617ab520bbea5"><div class="ttname"><a href="amg__base_8hpp.html#aafe2063c3c80c193a6a617ab520bbea5">VIENNACL_AMG_INTERPOL_CLASSIC</a></div><div class="ttdeci">#define VIENNACL_AMG_INTERPOL_CLASSIC</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00047">amg_base.hpp:47</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector__iterator_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__sparsevector__iterator.html">viennacl::linalg::detail::amg::amg_sparsevector_iterator</a></div><div class="ttdoc">Defines an iterator for the sparse vector type. </div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00209">amg_base.hpp:209</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point_html_a4a2203435b62bb2e6dec44aaf66404ce"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a4a2203435b62bb2e6dec44aaf66404ce">viennacl::linalg::detail::amg::amg_point::get_index</a></div><div class="ttdeci">unsigned int get_index() const </div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00864">amg_base.hpp:864</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1amg_html_a8d65ceb053c1cb832194132295b8aff6"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a8d65ceb053c1cb832194132295b8aff6">viennacl::linalg::detail::amg::amg_mat_prod</a></div><div class="ttdeci">void amg_mat_prod(SparseMatrixT &A, SparseMatrixT &B, SparseMatrixT &RES)</div><div class="ttdoc">Sparse matrix product. Calculates RES = A*B. </div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l01330">amg_base.hpp:1330</a></div></div>
<div class="ttc" id="amg__base_8hpp_html"><div class="ttname"><a href="amg__base_8hpp.html">amg_base.hpp</a></div><div class="ttdoc">Helper classes and functions for the AMG preconditioner. Experimental. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point_html_a154fd093ef1198ae73ae8f8f3cea9893"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__point.html#a154fd093ef1198ae73ae8f8f3cea9893">viennacl::linalg::detail::amg::amg_point::end_influencing</a></div><div class="ttdeci">iterator end_influencing()</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00919">amg_base.hpp:919</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1amg_html_a640494c9b7567259cf495578a470afa4"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a640494c9b7567259cf495578a470afa4">viennacl::linalg::detail::amg::printmatrix</a></div><div class="ttdeci">void printmatrix(MatrixT &, int)</div><div class="ttdef"><b>Definition:</b> <a href="amg__debug_8hpp_source.html#l00077">amg_debug.hpp:77</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1amg_html_af81bf60199ec0634ff9a9f4c2503030c"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#af81bf60199ec0634ff9a9f4c2503030c">viennacl::linalg::detail::amg::amg_interpol_direct</a></div><div class="ttdeci">void amg_interpol_direct(unsigned int level, InternalT1 &A, InternalT1 &P, InternalT2 &pointvector, amg_tag &tag)</div><div class="ttdoc">Direct interpolation. Multi-threaded! (VIENNACL_AMG_INTERPOL_DIRECT) </div><div class="ttdef"><b>Definition:</b> <a href="amg__interpol_8hpp_source.html#l00072">amg_interpol.hpp:72</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1amg_html_a15ec596386c25259f7b2063f76f45c59"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a15ec596386c25259f7b2063f76f45c59">viennacl::linalg::detail::amg::amg_interpol_classic</a></div><div class="ttdeci">void amg_interpol_classic(unsigned int level, InternalT1 &A, InternalT1 &P, InternalT2 &pointvector, amg_tag &tag)</div><div class="ttdoc">Classical interpolation. Don't use with onepass classical coarsening or RS0 (Yang, p.14)! Multi-threaded! (VIENNACL_AMG_INTERPOL_CLASSIC) </div><div class="ttdef"><b>Definition:</b> <a href="amg__interpol_8hpp_source.html#l00171">amg_interpol.hpp:171</a></div></div>
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