182 lines
6.6 KiB
C++
182 lines
6.6 KiB
C++
// 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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// Copyright (C) 2012 Gael Guennebaud <gael.guennebaud@inria.fr>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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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 xcolumn_bmod.c file in SuperLU
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* -- SuperLU routine (version 3.0) --
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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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* October 15, 2003
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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_COLUMN_BMOD_H
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#define SPARSELU_COLUMN_BMOD_H
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namespace Eigen {
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namespace internal {
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/**
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* \brief Performs numeric block updates (sup-col) in topological order
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*
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* \param jcol current column to update
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* \param nseg Number of segments in the U part
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* \param dense Store the full representation of the column
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* \param tempv working array
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* \param segrep segment representative ...
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* \param repfnz ??? First nonzero column in each row ??? ...
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* \param fpanelc First column in the current panel
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* \param glu Global LU data.
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* \return 0 - successful return
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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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template <typename Scalar, typename StorageIndex>
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Index SparseLUImpl<Scalar,StorageIndex>::column_bmod(const Index jcol, const Index nseg, BlockScalarVector dense, ScalarVector& tempv,
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BlockIndexVector segrep, BlockIndexVector repfnz, Index fpanelc, GlobalLU_t& glu)
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{
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Index jsupno, k, ksub, krep, ksupno;
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Index lptr, nrow, isub, irow, nextlu, new_next, ufirst;
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Index fsupc, nsupc, nsupr, luptr, kfnz, no_zeros;
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/* krep = representative of current k-th supernode
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* fsupc = first supernodal column
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* nsupc = number of columns in a supernode
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* nsupr = number of rows in a supernode
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* luptr = location of supernodal LU-block in storage
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* kfnz = first nonz in the k-th supernodal segment
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* no_zeros = no lf leading zeros in a supernodal U-segment
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*/
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jsupno = glu.supno(jcol);
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// For each nonzero supernode segment of U[*,j] in topological order
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k = nseg - 1;
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Index d_fsupc; // distance between the first column of the current panel and the
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// first column of the current snode
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Index fst_col; // First column within small LU update
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Index segsize;
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for (ksub = 0; ksub < nseg; ksub++)
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{
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krep = segrep(k); k--;
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ksupno = glu.supno(krep);
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if (jsupno != ksupno )
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{
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// outside the rectangular supernode
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fsupc = glu.xsup(ksupno);
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fst_col = (std::max)(fsupc, fpanelc);
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// Distance from the current supernode to the current panel;
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// d_fsupc = 0 if fsupc > fpanelc
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d_fsupc = fst_col - fsupc;
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luptr = glu.xlusup(fst_col) + d_fsupc;
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lptr = glu.xlsub(fsupc) + d_fsupc;
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kfnz = repfnz(krep);
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kfnz = (std::max)(kfnz, fpanelc);
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segsize = krep - kfnz + 1;
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nsupc = krep - fst_col + 1;
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nsupr = glu.xlsub(fsupc+1) - glu.xlsub(fsupc);
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nrow = nsupr - d_fsupc - nsupc;
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Index lda = glu.xlusup(fst_col+1) - glu.xlusup(fst_col);
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// Perform a triangular solver and block update,
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// then scatter the result of sup-col update to dense
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no_zeros = kfnz - fst_col;
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if(segsize==1)
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LU_kernel_bmod<1>::run(segsize, dense, tempv, glu.lusup, luptr, lda, nrow, glu.lsub, lptr, no_zeros);
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else
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LU_kernel_bmod<Dynamic>::run(segsize, dense, tempv, glu.lusup, luptr, lda, nrow, glu.lsub, lptr, no_zeros);
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} // end if jsupno
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} // end for each segment
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// Process the supernodal portion of L\U[*,j]
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nextlu = glu.xlusup(jcol);
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fsupc = glu.xsup(jsupno);
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// copy the SPA dense into L\U[*,j]
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Index mem;
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new_next = nextlu + glu.xlsub(fsupc + 1) - glu.xlsub(fsupc);
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Index offset = internal::first_multiple<Index>(new_next, internal::packet_traits<Scalar>::size) - new_next;
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if(offset)
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new_next += offset;
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while (new_next > glu.nzlumax )
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{
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mem = memXpand<ScalarVector>(glu.lusup, glu.nzlumax, nextlu, LUSUP, glu.num_expansions);
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if (mem) return mem;
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}
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for (isub = glu.xlsub(fsupc); isub < glu.xlsub(fsupc+1); isub++)
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{
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irow = glu.lsub(isub);
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glu.lusup(nextlu) = dense(irow);
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dense(irow) = Scalar(0.0);
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++nextlu;
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}
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if(offset)
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{
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glu.lusup.segment(nextlu,offset).setZero();
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nextlu += offset;
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}
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glu.xlusup(jcol + 1) = StorageIndex(nextlu); // close L\U(*,jcol);
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/* For more updates within the panel (also within the current supernode),
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* should start from the first column of the panel, or the first column
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* of the supernode, whichever is bigger. There are two cases:
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* 1) fsupc < fpanelc, then fst_col <-- fpanelc
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* 2) fsupc >= fpanelc, then fst_col <-- fsupc
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*/
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fst_col = (std::max)(fsupc, fpanelc);
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if (fst_col < jcol)
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{
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// Distance between the current supernode and the current panel
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// d_fsupc = 0 if fsupc >= fpanelc
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d_fsupc = fst_col - fsupc;
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lptr = glu.xlsub(fsupc) + d_fsupc;
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luptr = glu.xlusup(fst_col) + d_fsupc;
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nsupr = glu.xlsub(fsupc+1) - glu.xlsub(fsupc); // leading dimension
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nsupc = jcol - fst_col; // excluding jcol
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nrow = nsupr - d_fsupc - nsupc;
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// points to the beginning of jcol in snode L\U(jsupno)
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ufirst = glu.xlusup(jcol) + d_fsupc;
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Index lda = glu.xlusup(jcol+1) - glu.xlusup(jcol);
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MappedMatrixBlock A( &(glu.lusup.data()[luptr]), nsupc, nsupc, OuterStride<>(lda) );
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VectorBlock<ScalarVector> u(glu.lusup, ufirst, nsupc);
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u = A.template triangularView<UnitLower>().solve(u);
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new (&A) MappedMatrixBlock ( &(glu.lusup.data()[luptr+nsupc]), nrow, nsupc, OuterStride<>(lda) );
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VectorBlock<ScalarVector> l(glu.lusup, ufirst+nsupc, nrow);
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l.noalias() -= A * u;
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} // End if fst_col
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return 0;
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}
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} // end namespace internal
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} // end namespace Eigen
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#endif // SPARSELU_COLUMN_BMOD_H
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