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<div class="title">gibbs_poole_stockmeyer.hpp</div> </div>
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<a href="gibbs__poole__stockmeyer_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_MISC_GIBBS_POOLE_STOCKMEYER_HPP</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_MISC_GIBBS_POOLE_STOCKMEYER_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="l00021"></a><span class="lineno"> 21</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 <map></span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include <deque></span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include <cmath></span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "<a class="code" href="forwards_8h.html">viennacl/forwards.h</a>"</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "<a class="code" href="cuthill__mckee_8hpp.html">viennacl/misc/cuthill_mckee.hpp</a>"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> </div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> {</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> {</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="comment">// calculates width of a node layering</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1detail.html#ac1dcb3aa5ad3cc33d2a4777f4dd5f8e8"> 47</a></span>  <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="namespaceviennacl_1_1detail.html#ac1dcb3aa5ad3cc33d2a4777f4dd5f8e8">calc_layering_width</a>(std::vector< std::vector<int> > <span class="keyword">const</span> & l)</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  {</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordtype">int</span> w;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  w = 0;</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < l.size(); i++)</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  {</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  w = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">std::max</a>(w, static_cast<int>(l[i].<a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>()));</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</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="keywordflow">return</span> w;</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> </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="comment">// function to decompose a list of nodes rg into connected components</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="comment">// sorted by decreasing number of nodes per component</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType></div>
<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1detail.html#a61007893062af0e0ba9fa86745261282"> 63</a></span>  std::vector< std::vector<int> > <a class="code" href="namespaceviennacl_1_1detail.html#a61007893062af0e0ba9fa86745261282">gps_rg_components</a>(MatrixType <span class="keyword">const</span> & <a class="code" href="classviennacl_1_1matrix.html">matrix</a>, <span class="keywordtype">int</span> n,</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  std::vector<int> <span class="keyword">const</span> & rg)</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  {</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  std::vector< std::vector<int> > rgc;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  std::vector< std::vector<int> > rgc_sorted;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  std::vector< std::vector<int> > sort_ind;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  std::vector<int> ind(2);</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  std::vector<int> tmp;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordtype">int</span> c;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  std::vector<bool> inr(static_cast<vcl_size_t>(n), <span class="keyword">true</span>);</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  std::deque<int> q;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < rg.size(); i++)</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>  inr[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(rg[i])] = <span class="keyword">false</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> </div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">do</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  {</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; i++)</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  {</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">if</span> (!inr[static_cast<vcl_size_t>(i)])</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>  q.push_front(i);</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">break</span>;</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>  }</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">if</span> (q.size() == 0)</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  tmp.resize(0);</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordflow">while</span> (q.size() > 0)</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  {</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  c = q.front();</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  q.pop_front();</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">if</span> (!inr[static_cast<vcl_size_t>(c)])</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>  tmp.push_back(c);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  inr[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(c)] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> MatrixType::value_type::const_iterator it = matrix[static_cast<vcl_size_t>(c)].begin(); it != matrix[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(c)].end(); it++)</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>  <span class="keywordflow">if</span> (it->first == c) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">if</span> (inr[static_cast<vcl_size_t>(it->first)]) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  q.push_back(it->first);</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>  }</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>  rgc.push_back(tmp);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  } <span class="keywordflow">while</span> (<span class="keyword">true</span>);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < rgc.size(); i++)</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>  ind[0] = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(i);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  ind[1] = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(rgc[i].size());</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  sort_ind.push_back(ind);</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  }</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  std::sort(sort_ind.begin(), sort_ind.end(), <a class="code" href="namespaceviennacl_1_1detail.html#af4e69f290073504270f69f75bece0924">detail::cuthill_mckee_comp_func</a>);</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < rgc.size(); i++)</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  rgc_sorted.push_back(rgc[static_cast<vcl_size_t>(sort_ind[rgc.size()-1-i][0])]);</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="keywordflow">return</span> rgc_sorted;</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> </div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> } <span class="comment">// namespace detail</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> </div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> </div>
<div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="structviennacl_1_1gibbs__poole__stockmeyer__tag.html"> 133</a></span> <span class="keyword">struct </span><a class="code" href="structviennacl_1_1gibbs__poole__stockmeyer__tag.html">gibbs_poole_stockmeyer_tag</a> {};</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> </div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType></div>
<div class="line"><a name="l00150"></a><span class="lineno"><a class="line" href="namespaceviennacl.html#acec126e71833e0756286cbf8cd036fbd"> 150</a></span> std::vector<int> <a class="code" href="namespaceviennacl.html#af22338e452cee008bee5e38070ddc611">reorder</a>(MatrixType <span class="keyword">const</span> & <a class="code" href="classviennacl_1_1matrix.html">matrix</a>,</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <a class="code" href="structviennacl_1_1gibbs__poole__stockmeyer__tag.html">gibbs_poole_stockmeyer_tag</a>)</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>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> n = matrix.size();</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  std::vector<int> r(n);</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  std::vector< std::vector<int> > rl;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> l = 0;</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordtype">int</span> state;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keywordtype">bool</span> state_end;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  std::vector< std::vector<int> > nodes;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  std::vector<bool> inr(n, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  std::vector<bool> isn(n, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  std::vector<int> tmp(2);</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordtype">int</span> g = 0;</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keywordtype">int</span> h = 0;</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  std::vector< std::vector<int> > lg;</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  std::vector< std::vector<int> > lh;</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  std::vector< std::vector<int> > ls;</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  std::map< int, std::vector<int> > lap;</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  std::vector<int> rg;</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  std::vector< std::vector<int> > rgc;</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keywordtype">int</span> m;</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordtype">int</span> m_min;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keywordtype">bool</span> new_g = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordtype">int</span> k1, k2, k3, k4;</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  std::vector<int> wvs;</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  std::vector<int> wvsg;</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  std::vector<int> wvsh;</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="keywordtype">int</span> deg_min;</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keywordtype">int</span> deg;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keywordtype">int</span> ind_min = 0;</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>  nodes.reserve(n);</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keywordtype">int</span> current_dof = 0;</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>  <span class="keywordflow">while</span> (current_dof < static_cast<int>(n)) <span class="comment">// for all components of the graph apply GPS algorithm</span></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">// determine node g with mimimal degree among all nodes which</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="comment">// are not yet in result array r</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  deg_min = -1;</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < n; i++)</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  {</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keywordflow">if</span> (!inr[i])</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  {</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  deg = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(matrix[i].size() - 1); <span class="comment">// node degree</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keywordflow">if</span> (deg_min < 0 || deg < deg_min)</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  {</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  g = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(i); <span class="comment">// node number</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  deg_min = deg;</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  }</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  }</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  }</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="comment">// algorithm for determining nodes g, h as endpoints of a pseudo graph diameter</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordflow">while</span> (new_g)</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  {</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  lg.clear();</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <a class="code" href="namespaceviennacl_1_1detail.html#a0368076ca5c74ec328c48924db5feeb8">detail::generate_layering</a>(matrix, lg, g);</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> </div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  nodes.resize(0);</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < lg.back().size(); i++)</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>  tmp[0] = lg.back()[i];</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  tmp[1] = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(matrix[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(lg.back()[i])].<a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>() - 1);</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  nodes.push_back(tmp);</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  }</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  std::sort(nodes.begin(), nodes.end(), <a class="code" href="namespaceviennacl_1_1detail.html#af4e69f290073504270f69f75bece0924">detail::cuthill_mckee_comp_func</a>);</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < nodes.size(); i++)</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  {</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  lg.back()[i] = nodes[i][0];</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>  m_min = -1;</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  new_g = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < lg.back().size(); i++)</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  {</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  lh.clear();</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <a class="code" href="namespaceviennacl_1_1detail.html#a0368076ca5c74ec328c48924db5feeb8">detail::generate_layering</a>(matrix, lh, lg.back()[i]);</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="keywordflow">if</span> (lh.size() > lg.size())</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>  g = lg.back()[i];</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  new_g = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  }</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  m = <a class="code" href="namespaceviennacl_1_1detail.html#ac1dcb3aa5ad3cc33d2a4777f4dd5f8e8">detail::calc_layering_width</a>(lh);</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keywordflow">if</span> (m_min < 0 || m < m_min)</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>  m_min = m;</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  h = lg.back()[i];</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  }</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  }</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  }</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> </div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  lh.clear();</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <a class="code" href="namespaceviennacl_1_1detail.html#a0368076ca5c74ec328c48924db5feeb8">detail::generate_layering</a>(matrix, lh, h);</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> </div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="comment">// calculate ls as layering intersection and rg as remaining</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="comment">// graph</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  lap.clear();</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < lg.size(); i++)</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  {</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < lg[i].size(); j++)</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  {</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  lap[lg[i][j]].resize(2);</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  lap[lg[i][j]][0] = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(i);</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  }</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  }</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < lh.size(); i++)</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < lh[i].size(); j++)</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  lap[lh[i][j]][1] = static_cast<int>(lg.size() - 1 - i);</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> </div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  rg.clear();</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  ls.clear();</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  ls.resize(lg.size());</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="keywordflow">for</span> (std::map< <span class="keywordtype">int</span>, std::vector<int> >::iterator it = lap.begin();</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  it != lap.end(); it++)</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  {</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keywordflow">if</span> ((it->second)[0] == (it->second)[1])</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  ls[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>((it->second)[0])].push_back(it->first);</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  rg.push_back(it->first);</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  }</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="comment">// partition remaining graph in connected components</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  rgc = <a class="code" href="namespaceviennacl_1_1detail.html#a61007893062af0e0ba9fa86745261282">detail::gps_rg_components</a>(matrix, static_cast<int>(n), rg);</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> </div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="comment">// insert nodes of each component of rgc</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  k1 = <a class="code" href="namespaceviennacl_1_1detail.html#ac1dcb3aa5ad3cc33d2a4777f4dd5f8e8">detail::calc_layering_width</a>(lg);</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  k2 = <a class="code" href="namespaceviennacl_1_1detail.html#ac1dcb3aa5ad3cc33d2a4777f4dd5f8e8">detail::calc_layering_width</a>(lh);</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  wvs.resize(ls.size());</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  wvsg.resize(ls.size());</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  wvsh.resize(ls.size());</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < rgc.size(); i++)</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  {</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < ls.size(); j++)</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  {</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  wvs[j] = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(ls[j].size());</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  wvsg[j] = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(ls[j].size());</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  wvsh[j] = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(ls[j].size());</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  }</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < rgc[i].size(); j++)</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  {</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  (wvsg[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(lap[rgc[i][j]][0])])++;</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  (wvsh[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(lap[rgc[i][j]][1])])++;</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  }</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  k3 = 0;</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  k4 = 0;</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < ls.size(); j++)</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  {</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="keywordflow">if</span> (wvsg[j] > wvs[j])</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  k3 = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">std::max</a>(k3, wvsg[j]);</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="keywordflow">if</span> (wvsh[j] > wvs[j])</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  k4 = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">std::max</a>(k4, wvsh[j]);</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  }</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keywordflow">if</span> (k3 < k4 || (k3 == k4 && k1 <= k2) )</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < rgc[i].size(); j++)</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  ls[static_cast<vcl_size_t>(lap[rgc[i][j]][0])].push_back(rgc[i][j]);</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < rgc[i].size(); j++)</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  ls[static_cast<vcl_size_t>(lap[rgc[i][j]][1])].push_back(rgc[i][j]);</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  }</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> </div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <span class="comment">// renumber nodes in ls</span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  rl.clear();</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  rl.resize(ls.size());</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  state = 1;</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  state_end = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <span class="keywordflow">while</span> (!state_end)</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  {</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="keywordflow">switch</span> (state)</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">case</span> 1:</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  l = 0;</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  state = 4;</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keywordflow">break</span>;</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">case</span> 2:</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < rl[l-1].size(); i++)</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  {</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  isn.assign(n, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="keywordflow">for</span> (std::map<int, double>::const_iterator it = matrix[static_cast<vcl_size_t>(rl[l-1][i])].begin();</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  it != matrix[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(rl[l-1][i])].end();</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  it++)</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  {</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="keywordflow">if</span> (it->first == rl[l-1][i]) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  isn[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(it->first)] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  }</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  nodes.resize(0);</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < ls[l].size(); j++)</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  {</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="keywordflow">if</span> (inr[static_cast<vcl_size_t>(ls[l][j])]) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="keywordflow">if</span> (!isn[static_cast<vcl_size_t>(ls[l][j])]) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  tmp[0] = ls[l][j];</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  tmp[1] = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(matrix[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(ls[l][j])].<a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>() - 1);</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  nodes.push_back(tmp);</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  }</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  std::sort(nodes.begin(), nodes.end(), <a class="code" href="namespaceviennacl_1_1detail.html#af4e69f290073504270f69f75bece0924">detail::cuthill_mckee_comp_func</a>);</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < nodes.size(); j++)</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  {</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  rl[l].push_back(nodes[j][0]);</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  r[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(nodes[j][0])] = current_dof++;</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  inr[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(nodes[j][0])] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  }</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  }</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span> </div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <span class="keywordflow">case</span> 3:</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < rl[l].size(); i++)</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>  isn.assign(n, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <span class="keywordflow">for</span> (std::map<int, double>::const_iterator it = matrix[static_cast<vcl_size_t>(rl[l][i])].begin();</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  it != matrix[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(rl[l][i])].end();</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  it++)</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="keywordflow">if</span> (it->first == rl[l][i]) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  isn[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(it->first)] = <span class="keyword">true</span>;</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>  nodes.resize(0);</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < ls[l].size(); j++)</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  {</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keywordflow">if</span> (inr[static_cast<vcl_size_t>(ls[l][j])]) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordflow">if</span> (!isn[static_cast<vcl_size_t>(ls[l][j])]) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  tmp[0] = ls[l][j];</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  tmp[1] = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(matrix[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(ls[l][j])].<a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>() - 1);</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  nodes.push_back(tmp);</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  }</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  std::sort(nodes.begin(), nodes.end(), <a class="code" href="namespaceviennacl_1_1detail.html#af4e69f290073504270f69f75bece0924">detail::cuthill_mckee_comp_func</a>);</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < nodes.size(); j++)</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>  rl[l].push_back(nodes[j][0]);</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  r[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(nodes[j][0])] = current_dof++;</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  inr[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(nodes[j][0])] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  }</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  }</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span> </div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <span class="keywordflow">case</span> 4:</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  <span class="keywordflow">if</span> (rl[l].<a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>() < ls[l].size())</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  {</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  deg_min = -1;</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = 0; j < ls[l].size(); j++)</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  {</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <span class="keywordflow">if</span> (inr[static_cast<vcl_size_t>(ls[l][j])]) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  deg = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(matrix[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(ls[l][j])].<a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">size</a>() - 1);</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  <span class="keywordflow">if</span> (deg_min < 0 || deg < deg_min)</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>  ind_min = ls[l][j];</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  deg_min = deg;</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  }</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  }</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  rl[l].push_back(ind_min);</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  r[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(ind_min)] = current_dof++;</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  inr[<span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(ind_min)] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  state = 3;</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  }</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span> </div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <span class="keywordflow">case</span> 5:</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  l++;</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  <span class="keywordflow">if</span> (l < ls.size())</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  state = 2;</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  state_end = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span> </div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  }</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  }</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span> </div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  }</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span> </div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  <span class="keywordflow">return</span> r;</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span> }</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span> </div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span> } <span class="comment">//namespace viennacl</span></div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span> </div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span> </div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="namespaceviennacl_html_af22338e452cee008bee5e38070ddc611"><div class="ttname"><a href="namespaceviennacl.html#af22338e452cee008bee5e38070ddc611">viennacl::reorder</a></div><div class="ttdeci">std::vector< IndexT > reorder(std::vector< std::map< IndexT, ValueT > > const &matrix, cuthill_mckee_tag)</div><div class="ttdoc">Function for the calculation of a node number permutation to reduce the bandwidth of an incidence mat...</div><div class="ttdef"><b>Definition:</b> <a href="cuthill__mckee_8hpp_source.html#l00367">cuthill_mckee.hpp:367</a></div></div>
<div class="ttc" id="forwards_8h_html"><div class="ttname"><a href="forwards_8h.html">forwards.h</a></div><div class="ttdoc">This file provides the forward declarations for the main types used within ViennaCL. </div></div>
<div class="ttc" id="classviennacl_1_1matrix_html"><div class="ttname"><a href="classviennacl_1_1matrix.html">viennacl::matrix</a></div><div class="ttdoc">A dense matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00375">forwards.h:375</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_a5d46fe9558b0e462f10fd44942ad4fc6"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a5d46fe9558b0e462f10fd44942ad4fc6">viennacl::linalg::detail::max</a></div><div class="ttdeci">T max(const T &lhs, const T &rhs)</div><div class="ttdoc">Maximum. </div><div class="ttdef"><b>Definition:</b> <a href="linalg_2detail_2bisect_2util_8hpp_source.html#l00059">util.hpp:59</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1detail_html_a0368076ca5c74ec328c48924db5feeb8"><div class="ttname"><a href="namespaceviennacl_1_1detail.html#a0368076ca5c74ec328c48924db5feeb8">viennacl::detail::generate_layering</a></div><div class="ttdeci">void generate_layering(MatrixT const &matrix, std::vector< std::vector< IndexT > > &layer_list)</div><div class="ttdoc">Function to generate a node layering as a tree structure. </div><div class="ttdef"><b>Definition:</b> <a href="cuthill__mckee_8hpp_source.html#l00122">cuthill_mckee.hpp:122</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_aa2344ea20469f55fbc15a8e9526494d0"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">viennacl::traits::size</a></div><div class="ttdeci">vcl_size_t size(VectorType const &vec)</div><div class="ttdoc">Generic routine for obtaining the size of a vector (ViennaCL, uBLAS, etc.) </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00239">size.hpp:239</a></div></div>
<div class="ttc" id="structviennacl_1_1gibbs__poole__stockmeyer__tag_html"><div class="ttname"><a href="structviennacl_1_1gibbs__poole__stockmeyer__tag.html">viennacl::gibbs_poole_stockmeyer_tag</a></div><div class="ttdoc">Tag class for identifying the Gibbs-Poole-Stockmeyer algorithm for reducing the bandwidth of a sparse...</div><div class="ttdef"><b>Definition:</b> <a href="gibbs__poole__stockmeyer_8hpp_source.html#l00133">gibbs_poole_stockmeyer.hpp:133</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="namespaceviennacl_1_1detail_html_a61007893062af0e0ba9fa86745261282"><div class="ttname"><a href="namespaceviennacl_1_1detail.html#a61007893062af0e0ba9fa86745261282">viennacl::detail::gps_rg_components</a></div><div class="ttdeci">std::vector< std::vector< int > > gps_rg_components(MatrixType const &matrix, int n, std::vector< int > const &rg)</div><div class="ttdef"><b>Definition:</b> <a href="gibbs__poole__stockmeyer_8hpp_source.html#l00063">gibbs_poole_stockmeyer.hpp:63</a></div></div>
<div class="ttc" id="cuthill__mckee_8hpp_html"><div class="ttname"><a href="cuthill__mckee_8hpp.html">cuthill_mckee.hpp</a></div><div class="ttdoc">Implementation of several flavors of the Cuthill-McKee algorithm. Experimental. </div></div>
<div class="ttc" id="namespaceviennacl_1_1detail_html_ac1dcb3aa5ad3cc33d2a4777f4dd5f8e8"><div class="ttname"><a href="namespaceviennacl_1_1detail.html#ac1dcb3aa5ad3cc33d2a4777f4dd5f8e8">viennacl::detail::calc_layering_width</a></div><div class="ttdeci">int calc_layering_width(std::vector< std::vector< int > > const &l)</div><div class="ttdef"><b>Definition:</b> <a href="gibbs__poole__stockmeyer_8hpp_source.html#l00047">gibbs_poole_stockmeyer.hpp:47</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1detail_html_af4e69f290073504270f69f75bece0924"><div class="ttname"><a href="namespaceviennacl_1_1detail.html#af4e69f290073504270f69f75bece0924">viennacl::detail::cuthill_mckee_comp_func</a></div><div class="ttdeci">bool cuthill_mckee_comp_func(std::vector< int > const &a, std::vector< int > const &b)</div><div class="ttdef"><b>Definition:</b> <a href="cuthill__mckee_8hpp_source.html#l00263">cuthill_mckee.hpp:263</a></div></div>
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