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<div class="title">SparseLU_column_dfs.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr></span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</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"> </span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * NOTE: This file is the modified version of [s,d,c,z]column_dfs.c file in SuperLU </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"> * -- SuperLU routine (version 2.0) --</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * Univ. of California Berkeley, Xerox Palo Alto Research Center,</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * and Lawrence Berkeley National Lab.</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * November 15, 1997</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * Copyright (c) 1994 by Xerox Corporation. All rights reserved.</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> * THIS MATERIAL IS PROVIDED AS IS, WITH ABSOLUTELY NO WARRANTY</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> * EXPRESSED OR IMPLIED. ANY USE IS AT YOUR OWN RISK.</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> * Permission is hereby granted to use or copy this program for any</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> * purpose, provided the above notices are retained on all copies.</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"> * Permission to modify the code and to distribute modified code is</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"> * granted, provided the above notices are retained, and a notice that</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> * the code was modified is included with the above copyright notice.</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#ifndef SPARSELU_COLUMN_DFS_H</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor"></span><span class="preprocessor">#define SPARSELU_COLUMN_DFS_H</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index> <span class="keyword">class </span>SparseLUImpl;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="keyword">namespace </span>Eigen {</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>internal {</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">template</span><<span class="keyword">typename</span> IndexVector, <span class="keyword">typename</span> ScalarVector></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">struct </span>column_dfs_traits : no_assignment_operator</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">typedef</span> <span class="keyword">typename</span> ScalarVector::Scalar Scalar;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> IndexVector::Scalar Index;</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  column_dfs_traits(Index jcol, Index& jsuper, <span class="keyword">typename</span> SparseLUImpl<Scalar, Index>::GlobalLU_t& glu, SparseLUImpl<Scalar, Index>& luImpl)</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  : m_jcol(jcol), m_jsuper_ref(jsuper), m_glu(glu), m_luImpl(luImpl)</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="keywordtype">bool</span> update_segrep(Index <span class="comment">/*krep*/</span>, Index <span class="comment">/*jj*/</span>)</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  {</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  }</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordtype">void</span> mem_expand(IndexVector& lsub, Index& nextl, Index chmark)</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  {</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">if</span> (nextl >= m_glu.nzlmax)</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  m_luImpl.memXpand(lsub, m_glu.nzlmax, nextl, LSUB, m_glu.num_expansions); </div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">if</span> (chmark != (m_jcol-1)) m_jsuper_ref = emptyIdxLU;</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>  <span class="keyword">enum</span> { ExpandMem = <span class="keyword">true</span> };</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  Index m_jcol;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  Index& m_jsuper_ref;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keyword">typename</span> SparseLUImpl<Scalar, Index>::GlobalLU_t& m_glu;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  SparseLUImpl<Scalar, Index>& m_luImpl;</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="l00064"></a><span class="lineno"> 64</span> </div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> Index SparseLUImpl<Scalar,Index>::column_dfs(<span class="keyword">const</span> Index m, <span class="keyword">const</span> Index jcol, IndexVector& perm_r, Index maxsuper, Index& nseg, BlockIndexVector lsub_col, IndexVector& segrep, BlockIndexVector repfnz, IndexVector& xprune, IndexVector& marker, IndexVector& parent, IndexVector& xplore, GlobalLU_t& glu)</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>  </div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  Index jsuper = glu.supno(jcol); </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  Index nextl = glu.xlsub(jcol); </div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  VectorBlock<IndexVector> marker2(marker, 2*m, m); </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  </div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  column_dfs_traits<IndexVector, ScalarVector> traits(jcol, jsuper, glu, *<span class="keyword">this</span>);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  </div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="comment">// For each nonzero in A(*,jcol) do dfs </span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">for</span> (Index k = 0; ((k < m) ? lsub_col[k] != emptyIdxLU : <span class="keyword">false</span>) ; k++)</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>  Index krow = lsub_col(k); </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  lsub_col(k) = emptyIdxLU; </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  Index kmark = marker2(krow); </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="comment">// krow was visited before, go to the next nonz; </span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">if</span> (kmark == jcol) <span class="keywordflow">continue</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>  dfs_kernel(jcol, perm_r, nseg, glu.lsub, segrep, repfnz, xprune, marker2, parent,</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  xplore, glu, nextl, krow, traits);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  } <span class="comment">// for each nonzero ... </span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  </div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  Index fsupc, jptr, jm1ptr, ito, ifrom, istop;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  Index nsuper = glu.supno(jcol);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  Index jcolp1 = jcol + 1;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  Index jcolm1 = jcol - 1;</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>  <span class="comment">// check to see if j belongs in the same supernode as j-1</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordflow">if</span> ( jcol == 0 )</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  { <span class="comment">// Do nothing for column 0 </span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  nsuper = glu.supno(0) = 0 ;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  }</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordflow">else</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>  fsupc = glu.xsup(nsuper); </div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  jptr = glu.xlsub(jcol); <span class="comment">// Not yet compressed</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  jm1ptr = glu.xlsub(jcolm1); </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  </div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="comment">// Use supernodes of type T2 : see SuperLU paper</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">if</span> ( (nextl-jptr != jptr-jm1ptr-1) ) jsuper = emptyIdxLU;</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">// Make sure the number of columns in a supernode doesn't</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="comment">// exceed threshold</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordflow">if</span> ( (jcol - fsupc) >= maxsuper) jsuper = emptyIdxLU; </div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  </div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="comment">/* If jcol starts a new supernode, reclaim storage space in</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="comment"> * glu.lsub from previous supernode. Note we only store </span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="comment"> * the subscript set of the first and last columns of </span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="comment"> * a supernode. (first for num values, last for pruning)</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">if</span> (jsuper == emptyIdxLU)</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  { <span class="comment">// starts a new supernode </span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">if</span> ( (fsupc < jcolm1-1) ) </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  { <span class="comment">// >= 3 columns in nsuper</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  ito = glu.xlsub(fsupc+1);</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  glu.xlsub(jcolm1) = ito; </div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  istop = ito + jptr - jm1ptr; </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  xprune(jcolm1) = istop; <span class="comment">// intialize xprune(jcol-1)</span></div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  glu.xlsub(jcol) = istop; </div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  </div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keywordflow">for</span> (ifrom = jm1ptr; ifrom < nextl; ++ifrom, ++ito)</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  glu.lsub(ito) = glu.lsub(ifrom); </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  nextl = ito; <span class="comment">// = istop + length(jcol)</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  }</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  nsuper++; </div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  glu.supno(jcol) = nsuper; </div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  } <span class="comment">// if a new supernode </span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  } <span class="comment">// end else: jcol > 0</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="comment">// Tidy up the pointers before exit</span></div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  glu.xsup(nsuper+1) = jcolp1; </div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  glu.supno(jcolp1) = nsuper; </div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  xprune(jcol) = nextl; <span class="comment">// Intialize upper bound for pruning</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  glu.xlsub(jcolp1) = nextl; </div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  </div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordflow">return</span> 0; </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> }</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> </div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> } <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> </div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> </div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="preprocessor">#endif</span></div>
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