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<div class="title">SparseLU_column_bmod.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">// Copyright (C) 2012 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">//</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</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="l00009"></a><span class="lineno"> 9</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="l00010"></a><span class="lineno"> 10</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"> </span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * NOTE: This file is the modified version of xcolumn_bmod.c file in SuperLU </span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> </span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * -- SuperLU routine (version 3.0) --</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * Univ. of California Berkeley, Xerox Palo Alto Research Center,</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * and Lawrence Berkeley National Lab.</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * October 15, 2003</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> <span class="comment"> * Copyright (c) 1994 by Xerox Corporation. All rights reserved.</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> * THIS MATERIAL IS PROVIDED AS IS, WITH ABSOLUTELY NO WARRANTY</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> * EXPRESSED OR IMPLIED. ANY USE IS AT YOUR OWN RISK.</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> * Permission is hereby granted to use or copy this program for any</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"> * purpose, provided the above notices are retained on all copies.</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"> * Permission to modify the code and to distribute modified code is</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> * granted, provided the above notices are retained, and a notice that</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment"> * the code was modified is included with the above copyright notice.</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#ifndef SPARSELU_COLUMN_BMOD_H</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor"></span><span class="preprocessor">#define SPARSELU_COLUMN_BMOD_H</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor"></span></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="l00052"></a><span class="lineno"> 52</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> Index SparseLUImpl<Scalar,Index>::column_bmod(<span class="keyword">const</span> Index jcol, <span class="keyword">const</span> Index nseg, BlockScalarVector dense, ScalarVector& tempv, BlockIndexVector segrep, BlockIndexVector repfnz, Index fpanelc, GlobalLU_t& glu)</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>  Index jsupno, k, ksub, krep, ksupno; </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  Index lptr, nrow, isub, irow, nextlu, new_next, ufirst; </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  Index fsupc, nsupc, nsupr, luptr, kfnz, no_zeros; </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="comment">/* krep = representative of current k-th supernode</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment"> * fsupc = first supernodal column</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment"> * nsupc = number of columns in a supernode</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment"> * nsupr = number of rows in a supernode</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment"> * luptr = location of supernodal LU-block in storage</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment"> * kfnz = first nonz in the k-th supernodal segment</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment"> * no_zeros = no lf leading zeros in a supernodal U-segment</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  jsupno = glu.supno(jcol);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">// For each nonzero supernode segment of U[*,j] in topological order </span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  k = nseg - 1; </div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  Index d_fsupc; <span class="comment">// distance between the first column of the current panel and the </span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="comment">// first column of the current snode</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  Index fst_col; <span class="comment">// First column within small LU update</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  Index segsize; </div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">for</span> (ksub = 0; ksub < nseg; ksub++)</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  {</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  krep = segrep(k); k--; </div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  ksupno = glu.supno(krep); </div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">if</span> (jsupno != ksupno )</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="comment">// outside the rectangular supernode </span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  fsupc = glu.xsup(ksupno); </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  fst_col = (std::max)(fsupc, fpanelc); </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="comment">// Distance from the current supernode to the current panel; </span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="comment">// d_fsupc = 0 if fsupc > fpanelc</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  d_fsupc = fst_col - fsupc; </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  luptr = glu.xlusup(fst_col) + d_fsupc; </div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  lptr = glu.xlsub(fsupc) + d_fsupc; </div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  kfnz = repfnz(krep); </div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  kfnz = (std::max)(kfnz, fpanelc); </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  segsize = krep - kfnz + 1; </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  nsupc = krep - fst_col + 1; </div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  nsupr = glu.xlsub(fsupc+1) - glu.xlsub(fsupc); </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  nrow = nsupr - d_fsupc - nsupc;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  Index lda = glu.xlusup(fst_col+1) - glu.xlusup(fst_col);</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>  <span class="comment">// Perform a triangular solver and block update, </span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="comment">// then scatter the result of sup-col update to dense</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  no_zeros = kfnz - fst_col; </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">if</span>(segsize==1)</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  LU_kernel_bmod<1>::run(segsize, dense, tempv, glu.lusup, luptr, lda, nrow, glu.lsub, lptr, no_zeros);</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  LU_kernel_bmod<Dynamic>::run(segsize, dense, tempv, glu.lusup, luptr, lda, nrow, glu.lsub, lptr, no_zeros);</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  } <span class="comment">// end if jsupno </span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  } <span class="comment">// end for each segment</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  </div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="comment">// Process the supernodal portion of L\U[*,j]</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  nextlu = glu.xlusup(jcol); </div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  fsupc = glu.xsup(jsupno);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  </div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="comment">// copy the SPA dense into L\U[*,j]</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  Index mem; </div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  new_next = nextlu + glu.xlsub(fsupc + 1) - glu.xlsub(fsupc); </div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  Index offset = internal::first_multiple<Index>(new_next, internal::packet_traits<Scalar>::size) - new_next;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">if</span>(offset)</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  new_next += offset;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordflow">while</span> (new_next > glu.nzlumax )</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  {</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  mem = memXpand<ScalarVector>(glu.lusup, glu.nzlumax, nextlu, LUSUP, glu.num_expansions); </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">if</span> (mem) <span class="keywordflow">return</span> mem; </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>  </div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordflow">for</span> (isub = glu.xlsub(fsupc); isub < glu.xlsub(fsupc+1); isub++)</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>  irow = glu.lsub(isub);</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  glu.lusup(nextlu) = dense(irow);</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  dense(irow) = Scalar(0.0); </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  ++nextlu; </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>  </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordflow">if</span>(offset)</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  {</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  glu.lusup.segment(nextlu,offset).setZero();</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  nextlu += offset;</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>  glu.xlusup(jcol + 1) = nextlu; <span class="comment">// close L\U(*,jcol); </span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  </div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="comment">/* For more updates within the panel (also within the current supernode),</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="comment"> * should start from the first column of the panel, or the first column</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="comment"> * of the supernode, whichever is bigger. There are two cases:</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="comment"> * 1) fsupc < fpanelc, then fst_col <-- fpanelc</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="comment"> * 2) fsupc >= fpanelc, then fst_col <-- fsupc</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  fst_col = (std::max)(fsupc, fpanelc); </div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  </div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">if</span> (fst_col < jcol)</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>  <span class="comment">// Distance between the current supernode and the current panel</span></div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="comment">// d_fsupc = 0 if fsupc >= fpanelc</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  d_fsupc = fst_col - fsupc; </div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  </div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  lptr = glu.xlsub(fsupc) + d_fsupc; </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  luptr = glu.xlusup(fst_col) + d_fsupc; </div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  nsupr = glu.xlsub(fsupc+1) - glu.xlsub(fsupc); <span class="comment">// leading dimension</span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  nsupc = jcol - fst_col; <span class="comment">// excluding jcol </span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  nrow = nsupr - d_fsupc - nsupc; </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>  <span class="comment">// points to the beginning of jcol in snode L\U(jsupno) </span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  ufirst = glu.xlusup(jcol) + d_fsupc; </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  Index lda = glu.xlusup(jcol+1) - glu.xlusup(jcol);</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  Map<Matrix<Scalar,Dynamic,Dynamic>, 0, OuterStride<> > A( &(glu.lusup.data()[luptr]), nsupc, nsupc, OuterStride<>(lda) ); </div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  VectorBlock<ScalarVector> u(glu.lusup, ufirst, nsupc); </div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  u = A.template triangularView<UnitLower>().solve(u); </div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  </div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keyword">new</span> (&A) Map<Matrix<Scalar,Dynamic,Dynamic>, 0, OuterStride<> > ( &(glu.lusup.data()[luptr+nsupc]), nrow, nsupc, OuterStride<>(lda) ); </div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  VectorBlock<ScalarVector> l(glu.lusup, ufirst+nsupc, nrow); </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  l.noalias() -= A * u;</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 if fst_col</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordflow">return</span> 0; </div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</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="comment">// end namespace internal</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> </div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="preprocessor">#endif // SPARSELU_COLUMN_BMOD_H</span></div>
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