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Eliminate and prune columns in a panel
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152
Eigen/src/SparseLU/SparseLU_pruneL.h
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152
Eigen/src/SparseLU/SparseLU_pruneL.h
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// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr>
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//
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// Eigen is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 3 of the License, or (at your option) any later version.
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//
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// Alternatively, you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of
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// the License, or (at your option) any later version.
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//
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// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License and a copy of the GNU General Public License along with
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// Eigen. If not, see <http://www.gnu.org/licenses/>.
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/*
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* NOTE: This file is the modified version of xpruneL.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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* November 15, 1997
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*
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* Copyright (c) 1994 by Xerox Corporation. All rights reserved.
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*
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* THIS MATERIAL IS PROVIDED AS IS, WITH ABSOLUTELY NO WARRANTY
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* EXPRESSED OR IMPLIED. ANY USE IS AT YOUR OWN RISK.
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*
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* Permission is hereby granted to use or copy this program for any
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* purpose, provided the above notices are retained on all copies.
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* Permission to modify the code and to distribute modified code is
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* granted, provided the above notices are retained, and a notice that
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* the code was modified is included with the above copyright notice.
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*/
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#ifndef SPARSELU_PRUNEL_H
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#define SPARSELU_PRUNEL_H
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/**
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* \brief Prunes the L-structure.
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*
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* It prunes the L-structure of supernodes whose L-structure constains the current pivot row "pivrow"
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*
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*
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* \param jcol The current column of L
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* \param [in]perm_r Row permutation
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* \param [out]pivrow The pivot row
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* \param nseg Number of segments ???
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* \param segrep
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* \param repfnz
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* \param [out]xprune
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* \param Glu Global LU data
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*
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*/
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template <typename VectorType>
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void SparseLU::LU_pruneL(const int jcol, const VectorXi& perm_r, const int pivrow, const int nseg, const VectorXi& segrep, VectorXi& repfnz, VectorXi& xprune, GlobalLU_t& Glu)
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{
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// Initialize pointers
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VectorXi& xsup = Glu.xsup;
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VectorXi& supno = Glu.supno;
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VectorXi& lsub = Glu.lsub;
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VectorXi& xlsub = Glu.xlsub;
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VectorType& lusup = Glu.lusup;
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VectorXi& xlusup = Glu.xlusup;
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// For each supernode-rep irep in U(*,j]
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int jsupno = supno(jcol);
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int i,irep,irep1;
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bool movnum, do_prune = false;
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int kmin, kmax, ktemp, minloc, maxloc;
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for (i = 0; i < nseg; i++)
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{
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irep = segrep(i);
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irep1 = irep + 1;
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do_prune = false;
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// Don't prune with a zero U-segment
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if (repfnz(irep) == IND_EMPTY) continue;
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// If a snode overlaps with the next panel, then the U-segment
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// is fragmented into two parts -- irep and irep1. We should let
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// pruning occur at the rep-column in irep1s snode.
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if (supno(irep) == supno(irep1) continue; // don't prune
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// If it has not been pruned & it has a nonz in row L(pivrow,i)
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if (supno(irep) != jsupno )
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{
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if ( xprune (irep) >= xlsub(irep1)
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{
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kmin = xlsub(irep);
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kmax = xlsub(irep1) - 1;
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for (krow = kmin; krow <= kmax; krow++)
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{
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if (lsub(krow) == pivrow)
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{
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do_prune = true;
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break;
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}
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}
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}
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if (do_prune)
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{
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// do a quicksort-type partition
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// movnum=true means that the num values have to be exchanged
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movnum = false;
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if (irep == xsup(supno(irep)) ) // Snode of size 1
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movnum = true;
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while (kmin <= kmax)
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{
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if (perm_r(lsub(kmax)) == IND_EMPTY)
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kmax--;
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else if ( perm_r(lsub(kmin)) != IND_EMPTY)
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kmin--;
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else
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{
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// kmin below pivrow (not yet pivoted), and kmax
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// above pivrow: interchange the two suscripts
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ktemp = lsub(kmin);
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lsub(kmin) = lsub(kmax);
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lsub(kmax) = ktemp;
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// If the supernode has only one column, then we
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// only keep one set of subscripts. For any subscript
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// intercnahge performed, similar interchange must be
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// done on the numerical values.
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if (movnum)
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{
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minloc = xlusup(irep) + ( kmin - xlsub(irep) );
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maxloc = xlusup(irep) + ( kmax - xlsub(irep) );
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std::swap(lusup(minloc), lusup(maxloc));
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}
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kmin++;
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kmax--;
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}
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} // end while
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xprune(irep) = kmin;
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} // end if do_prune
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} // end pruning
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} // End for each U-segment
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}
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#endif
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