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<div class="title">SparseLU_kernel_bmod.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<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>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2012 Désiré Nuentsa-Wakam &lt;desire.nuentsa_wakam@inria.fr&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// Copyright (C) 2012 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<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>&#160;<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>&#160;<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>&#160;</div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#ifndef SPARSELU_KERNEL_BMOD_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define SPARSELU_KERNEL_BMOD_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span>Eigen {</div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  </div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">int</span> SegSizeAtCompileTime&gt; <span class="keyword">struct </span>LU_kernel_bmod</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;{</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> BlockScalarVector, <span class="keyword">typename</span> ScalarVector, <span class="keyword">typename</span> IndexVector, <span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;  <span class="keyword">static</span> EIGEN_DONT_INLINE <span class="keywordtype">void</span> run(<span class="keyword">const</span> <span class="keywordtype">int</span> segsize, BlockScalarVector&amp; dense, ScalarVector&amp; tempv, ScalarVector&amp; lusup, Index&amp; luptr, <span class="keyword">const</span> Index lda,</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                                    <span class="keyword">const</span> Index nrow, IndexVector&amp; lsub, <span class="keyword">const</span> Index lptr, <span class="keyword">const</span> Index no_zeros);</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;};</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">int</span> SegSizeAtCompileTime&gt;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> BlockScalarVector, <span class="keyword">typename</span> ScalarVector, <span class="keyword">typename</span> IndexVector, <span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;EIGEN_DONT_INLINE <span class="keywordtype">void</span> LU_kernel_bmod&lt;SegSizeAtCompileTime&gt;::run(<span class="keyword">const</span> <span class="keywordtype">int</span> segsize, BlockScalarVector&amp; dense, ScalarVector&amp; tempv, ScalarVector&amp; lusup, Index&amp; luptr, <span class="keyword">const</span> Index lda,</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                                                                  <span class="keyword">const</span> Index nrow, IndexVector&amp; lsub, <span class="keyword">const</span> Index lptr, <span class="keyword">const</span> Index no_zeros)</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;{</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> ScalarVector::Scalar Scalar;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  <span class="comment">// First, copy U[*,j] segment from dense(*) to tempv(*)</span></div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  <span class="comment">// The result of triangular solve is in tempv[*]; </span></div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    <span class="comment">// The result of matric-vector update is in dense[*]</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  Index isub = lptr + no_zeros; </div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  <span class="keywordtype">int</span> i;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  Index irow;</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;  <span class="keywordflow">for</span> (i = 0; i &lt; ((SegSizeAtCompileTime==<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>)?segsize:SegSizeAtCompileTime); i++)</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;  {</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    irow = lsub(isub); </div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    tempv(i) = dense(irow); </div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    ++isub; </div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;  }</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;  <span class="comment">// Dense triangular solve -- start effective triangle</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  luptr += lda * no_zeros + no_zeros; </div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;  <span class="comment">// Form Eigen matrix and vector </span></div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;  Map&lt;Matrix&lt;Scalar,SegSizeAtCompileTime,SegSizeAtCompileTime&gt;, 0, OuterStride&lt;&gt; &gt; A( &amp;(lusup.data()[luptr]), segsize, segsize, OuterStride&lt;&gt;(lda) );</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;  Map&lt;Matrix&lt;Scalar,SegSizeAtCompileTime,1&gt; &gt; u(tempv.data(), segsize);</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;  </div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;  u = A.template triangularView&lt;UnitLower&gt;().solve(u); </div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;  </div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;  <span class="comment">// Dense matrix-vector product y &lt;-- B*x </span></div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;  luptr += segsize;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;  <span class="keyword">const</span> Index PacketSize = internal::packet_traits&lt;Scalar&gt;::size;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  Index ldl = internal::first_multiple(nrow, PacketSize);</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  Map&lt;Matrix&lt;Scalar,Dynamic,SegSizeAtCompileTime&gt;, 0, OuterStride&lt;&gt; &gt; B( &amp;(lusup.data()[luptr]), nrow, segsize, OuterStride&lt;&gt;(lda) );</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;  Index aligned_offset = internal::first_aligned(tempv.data()+segsize, PacketSize);</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;  Index aligned_with_B_offset = (PacketSize-internal::first_aligned(B.data(), PacketSize))%PacketSize;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;  Map&lt;Matrix&lt;Scalar,Dynamic,1&gt;, 0, OuterStride&lt;&gt; &gt; l(tempv.data()+segsize+aligned_offset+aligned_with_B_offset, nrow, OuterStride&lt;&gt;(ldl) );</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  </div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;  l.setZero();</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;  internal::sparselu_gemm&lt;Scalar&gt;(l.rows(), l.cols(), B.cols(), B.data(), B.outerStride(), u.data(), u.outerStride(), l.data(), l.outerStride());</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  </div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;  <span class="comment">// Scatter tempv[] into SPA dense[] as a temporary storage </span></div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;  isub = lptr + no_zeros;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;  <span class="keywordflow">for</span> (i = 0; i &lt; ((SegSizeAtCompileTime==<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>)?segsize:SegSizeAtCompileTime); i++)</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  {</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    irow = lsub(isub++); </div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    dense(irow) = tempv(i);</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  }</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  </div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;  <span class="comment">// Scatter l into SPA dense[]</span></div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  <span class="keywordflow">for</span> (i = 0; i &lt; nrow; i++)</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;  {</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    irow = lsub(isub++); </div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    dense(irow) -= l(i);</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;  } </div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;}</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="keyword">template</span> &lt;&gt; <span class="keyword">struct </span>LU_kernel_bmod&lt;1&gt;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;{</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> BlockScalarVector, <span class="keyword">typename</span> ScalarVector, <span class="keyword">typename</span> IndexVector, <span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;  <span class="keyword">static</span> EIGEN_DONT_INLINE <span class="keywordtype">void</span> run(<span class="keyword">const</span> <span class="keywordtype">int</span> <span class="comment">/*segsize*/</span>, BlockScalarVector&amp; dense, ScalarVector&amp; <span class="comment">/*tempv*/</span>, ScalarVector&amp; lusup, Index&amp; luptr,</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                                    <span class="keyword">const</span> Index lda, <span class="keyword">const</span> Index nrow, IndexVector&amp; lsub, <span class="keyword">const</span> Index lptr, <span class="keyword">const</span> Index no_zeros);</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;};</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> BlockScalarVector, <span class="keyword">typename</span> ScalarVector, <span class="keyword">typename</span> IndexVector, <span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;EIGEN_DONT_INLINE <span class="keywordtype">void</span> LU_kernel_bmod&lt;1&gt;::run(<span class="keyword">const</span> <span class="keywordtype">int</span> <span class="comment">/*segsize*/</span>, BlockScalarVector&amp; dense, ScalarVector&amp; <span class="comment">/*tempv*/</span>, ScalarVector&amp; lusup, Index&amp; luptr,</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                                              <span class="keyword">const</span> Index lda, <span class="keyword">const</span> Index nrow, IndexVector&amp; lsub, <span class="keyword">const</span> Index lptr, <span class="keyword">const</span> Index no_zeros)</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;{</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> ScalarVector::Scalar Scalar;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;  Scalar f = dense(lsub(lptr + no_zeros));</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  luptr += lda * no_zeros + no_zeros + 1;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  <span class="keyword">const</span> Scalar* a(lusup.data() + luptr);</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;  <span class="keyword">const</span> <span class="comment">/*typename IndexVector::Scalar*/</span>Index*  irow(lsub.data()+lptr + no_zeros + 1);</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  Index i = 0;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  <span class="keywordflow">for</span> (; i+1 &lt; nrow; i+=2)</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  {</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;    Index i0 = *(irow++);</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    Index i1 = *(irow++);</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    Scalar a0 = *(a++);</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    Scalar a1 = *(a++);</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    Scalar d0 = dense.coeff(i0);</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    Scalar d1 = dense.coeff(i1);</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    d0 -= f*a0;</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    d1 -= f*a1;</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    dense.coeffRef(i0) = d0;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    dense.coeffRef(i1) = d1;</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;  }</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;  <span class="keywordflow">if</span>(i&lt;nrow)</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    dense.coeffRef(*(irow++)) -= f * *(a++);</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;}</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;<span class="preprocessor">#endif // SPARSELU_KERNEL_BMOD_H</span></div>
<div class="ttc" id="namespaceEigen_html_adc9da5be31bdce40c25a92c27999c0e3"><div class="ttname"><a href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Eigen::Dynamic</a></div><div class="ttdeci">const int Dynamic</div><div class="ttdef"><b>Definition:</b> Constants.h:21</div></div>
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