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@@ -7,10 +7,10 @@
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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/*
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* NOTE: This file is the modified version of [s,d,c,z]column_dfs.c file in SuperLU
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/*
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* NOTE: This file is the modified version of [s,d,c,z]column_dfs.c file in SuperLU
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* -- SuperLU routine (version 2.0) --
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* Univ. of California Berkeley, Xerox Palo Alto Research Center,
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* and Lawrence Berkeley National Lab.
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@@ -30,7 +30,8 @@
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#ifndef SPARSELU_COLUMN_DFS_H
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#define SPARSELU_COLUMN_DFS_H
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template <typename Scalar, typename StorageIndex> class SparseLUImpl;
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template <typename Scalar, typename StorageIndex>
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class SparseLUImpl;
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// IWYU pragma: private
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#include "./InternalHeaderCheck.h"
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@@ -38,145 +39,130 @@ namespace Eigen {
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namespace internal {
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template<typename IndexVector, typename ScalarVector>
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struct column_dfs_traits : no_assignment_operator
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{
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template <typename IndexVector, typename ScalarVector>
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struct column_dfs_traits : no_assignment_operator {
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typedef typename ScalarVector::Scalar Scalar;
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typedef typename IndexVector::Scalar StorageIndex;
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column_dfs_traits(Index jcol, Index& jsuper, typename SparseLUImpl<Scalar, StorageIndex>::GlobalLU_t& glu, SparseLUImpl<Scalar, StorageIndex>& luImpl)
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: m_jcol(jcol), m_jsuper_ref(jsuper), m_glu(glu), m_luImpl(luImpl)
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{}
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bool update_segrep(Index /*krep*/, Index /*jj*/)
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{
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return true;
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}
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void mem_expand(IndexVector& lsub, Index& nextl, Index chmark)
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{
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if (nextl >= m_glu.nzlmax)
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m_luImpl.memXpand(lsub, m_glu.nzlmax, nextl, LSUB, m_glu.num_expansions);
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if (chmark != (m_jcol-1)) m_jsuper_ref = emptyIdxLU;
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column_dfs_traits(Index jcol, Index& jsuper, typename SparseLUImpl<Scalar, StorageIndex>::GlobalLU_t& glu,
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SparseLUImpl<Scalar, StorageIndex>& luImpl)
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: m_jcol(jcol), m_jsuper_ref(jsuper), m_glu(glu), m_luImpl(luImpl) {}
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bool update_segrep(Index /*krep*/, Index /*jj*/) { return true; }
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void mem_expand(IndexVector& lsub, Index& nextl, Index chmark) {
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if (nextl >= m_glu.nzlmax) m_luImpl.memXpand(lsub, m_glu.nzlmax, nextl, LSUB, m_glu.num_expansions);
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if (chmark != (m_jcol - 1)) m_jsuper_ref = emptyIdxLU;
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}
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enum { ExpandMem = true };
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Index m_jcol;
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Index& m_jsuper_ref;
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typename SparseLUImpl<Scalar, StorageIndex>::GlobalLU_t& m_glu;
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SparseLUImpl<Scalar, StorageIndex>& m_luImpl;
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};
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/**
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* \brief Performs a symbolic factorization on column jcol and decide the supernode boundary
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*
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*
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* A supernode representative is the last column of a supernode.
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* The nonzeros in U[*,j] are segments that end at supernodes representatives.
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* The routine returns a list of the supernodal representatives
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* in topological order of the dfs that generates them.
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* The location of the first nonzero in each supernodal segment
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* (supernodal entry location) is also returned.
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*
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* The nonzeros in U[*,j] are segments that end at supernodes representatives.
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* The routine returns a list of the supernodal representatives
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* in topological order of the dfs that generates them.
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* The location of the first nonzero in each supernodal segment
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* (supernodal entry location) is also returned.
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*
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* \param m number of rows in the matrix
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* \param jcol Current column
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* \param jcol Current column
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* \param perm_r Row permutation
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* \param maxsuper Maximum number of column allowed in a supernode
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* \param [in,out] nseg Number of segments in current U[*,j] - new segments appended
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* \param lsub_col defines the rhs vector to start the dfs
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* \param [in,out] segrep Segment representatives - new segments appended
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* \param [in,out] segrep Segment representatives - new segments appended
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* \param repfnz First nonzero location in each row
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* \param xprune
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* \param xprune
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* \param marker marker[i] == jj, if i was visited during dfs of current column jj;
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* \param parent
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* \param xplore working array
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* \param glu global LU data
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* \param glu global LU data
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* \return 0 success
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* > 0 number of bytes allocated when run out of space
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*
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*
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*/
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template <typename Scalar, typename StorageIndex>
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Index SparseLUImpl<Scalar,StorageIndex>::column_dfs(const Index m, const Index jcol, IndexVector& perm_r, Index maxsuper, Index& nseg,
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BlockIndexVector lsub_col, IndexVector& segrep, BlockIndexVector repfnz, IndexVector& xprune,
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IndexVector& marker, IndexVector& parent, IndexVector& xplore, GlobalLU_t& glu)
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{
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Index jsuper = glu.supno(jcol);
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Index nextl = glu.xlsub(jcol);
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VectorBlock<IndexVector> marker2(marker, 2*m, m);
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Index SparseLUImpl<Scalar, StorageIndex>::column_dfs(const Index m, const Index jcol, IndexVector& perm_r,
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Index maxsuper, Index& nseg, BlockIndexVector lsub_col,
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IndexVector& segrep, BlockIndexVector repfnz, IndexVector& xprune,
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IndexVector& marker, IndexVector& parent, IndexVector& xplore,
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GlobalLU_t& glu) {
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Index jsuper = glu.supno(jcol);
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Index nextl = glu.xlsub(jcol);
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VectorBlock<IndexVector> marker2(marker, 2 * m, m);
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column_dfs_traits<IndexVector, ScalarVector> traits(jcol, jsuper, glu, *this);
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// For each nonzero in A(*,jcol) do dfs
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for (Index k = 0; ((k < m) ? lsub_col[k] != emptyIdxLU : false) ; k++)
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{
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Index krow = lsub_col(k);
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lsub_col(k) = emptyIdxLU;
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Index kmark = marker2(krow);
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// krow was visited before, go to the next nonz;
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// For each nonzero in A(*,jcol) do dfs
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for (Index k = 0; ((k < m) ? lsub_col[k] != emptyIdxLU : false); k++) {
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Index krow = lsub_col(k);
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lsub_col(k) = emptyIdxLU;
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Index kmark = marker2(krow);
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// krow was visited before, go to the next nonz;
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if (kmark == jcol) continue;
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dfs_kernel(StorageIndex(jcol), perm_r, nseg, glu.lsub, segrep, repfnz, xprune, marker2, parent,
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xplore, glu, nextl, krow, traits);
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} // for each nonzero ...
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dfs_kernel(StorageIndex(jcol), perm_r, nseg, glu.lsub, segrep, repfnz, xprune, marker2, parent, xplore, glu, nextl,
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krow, traits);
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} // for each nonzero ...
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Index fsupc;
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StorageIndex nsuper = glu.supno(jcol);
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StorageIndex jcolp1 = StorageIndex(jcol) + 1;
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Index jcolm1 = jcol - 1;
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// check to see if j belongs in the same supernode as j-1
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if ( jcol == 0 )
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{ // Do nothing for column 0
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nsuper = glu.supno(0) = 0 ;
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}
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else
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{
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fsupc = glu.xsup(nsuper);
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StorageIndex jptr = glu.xlsub(jcol); // Not yet compressed
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StorageIndex jm1ptr = glu.xlsub(jcolm1);
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if (jcol == 0) { // Do nothing for column 0
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nsuper = glu.supno(0) = 0;
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} else {
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fsupc = glu.xsup(nsuper);
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StorageIndex jptr = glu.xlsub(jcol); // Not yet compressed
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StorageIndex jm1ptr = glu.xlsub(jcolm1);
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// Use supernodes of type T2 : see SuperLU paper
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if ( (nextl-jptr != jptr-jm1ptr-1) ) jsuper = emptyIdxLU;
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if ((nextl - jptr != jptr - jm1ptr - 1)) jsuper = emptyIdxLU;
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// Make sure the number of columns in a supernode doesn't
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// exceed threshold
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if ( (jcol - fsupc) >= maxsuper) jsuper = emptyIdxLU;
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if ((jcol - fsupc) >= maxsuper) jsuper = emptyIdxLU;
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/* If jcol starts a new supernode, reclaim storage space in
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* glu.lsub from previous supernode. Note we only store
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* the subscript set of the first and last columns of
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* glu.lsub from previous supernode. Note we only store
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* the subscript set of the first and last columns of
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* a supernode. (first for num values, last for pruning)
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*/
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if (jsuper == emptyIdxLU)
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{ // starts a new supernode
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if ( (fsupc < jcolm1-1) )
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{ // >= 3 columns in nsuper
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StorageIndex ito = glu.xlsub(fsupc+1);
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glu.xlsub(jcolm1) = ito;
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StorageIndex istop = ito + jptr - jm1ptr;
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xprune(jcolm1) = istop; // initialize xprune(jcol-1)
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glu.xlsub(jcol) = istop;
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for (StorageIndex ifrom = jm1ptr; ifrom < nextl; ++ifrom, ++ito)
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glu.lsub(ito) = glu.lsub(ifrom);
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if (jsuper == emptyIdxLU) { // starts a new supernode
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if ((fsupc < jcolm1 - 1)) { // >= 3 columns in nsuper
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StorageIndex ito = glu.xlsub(fsupc + 1);
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glu.xlsub(jcolm1) = ito;
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StorageIndex istop = ito + jptr - jm1ptr;
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xprune(jcolm1) = istop; // initialize xprune(jcol-1)
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glu.xlsub(jcol) = istop;
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for (StorageIndex ifrom = jm1ptr; ifrom < nextl; ++ifrom, ++ito) glu.lsub(ito) = glu.lsub(ifrom);
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nextl = ito; // = istop + length(jcol)
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}
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nsuper++;
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glu.supno(jcol) = nsuper;
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} // if a new supernode
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} // end else: jcol > 0
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nsuper++;
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glu.supno(jcol) = nsuper;
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} // if a new supernode
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} // end else: jcol > 0
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// Tidy up the pointers before exit
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glu.xsup(nsuper+1) = jcolp1;
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glu.supno(jcolp1) = nsuper;
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glu.xsup(nsuper + 1) = jcolp1;
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glu.supno(jcolp1) = nsuper;
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xprune(jcol) = StorageIndex(nextl); // Initialize upper bound for pruning
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glu.xlsub(jcolp1) = StorageIndex(nextl);
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return 0;
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glu.xlsub(jcolp1) = StorageIndex(nextl);
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return 0;
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}
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} // end namespace internal
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} // end namespace internal
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} // end namespace Eigen
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} // end namespace Eigen
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#endif
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