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Refactoring codes for numeric updates
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Eigen/src/SparseLU/SparseLU_kernel_bmod.h
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92
Eigen/src/SparseLU/SparseLU_kernel_bmod.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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#ifndef SPARSELU_KERNEL_BMOD_H
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#define SPARSELU_KERNEL_BMOD_H
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/**
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* \brief Performs numeric block updates from a given supernode to a single column
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*
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* \param segsize Size of the segment (and blocks ) to use for updates
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* \param [in,out]dense Packed values of the original matrix
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* \param tempv temporary vector to use for updates
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* \param lusup array containing the supernodes
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* \param nsupr Number of rows in the supernode
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* \param nrow Number of rows in the rectangular part of the supernode
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* \param lsub compressed row subscripts of supernodes
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* \param lptr pointer to the first column of the current supernode in lsub
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* \param no_zeros Number of nonzeros elements before the diagonal part of the supernode
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* \return 0 on success
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*/
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template <typename BlockScalarVector, typename ScalarVector, typename IndexVector>
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int LU_kernel_bmod(const int segsize, BlockScalarVector& dense, ScalarVector& tempv, ScalarVector& lusup, int& luptr, const int nsupr, const int nrow, IndexVector& lsub, const int lptr, const int no_zeros)
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{
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typedef typename ScalarVector::Scalar Scalar;
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// First, copy U[*,j] segment from dense(*) to tempv(*)
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// The result of triangular solve is in tempv[*];
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// The result of matric-vector update is in dense[*]
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int isub = lptr + no_zeros;
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int i, irow;
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for (i = 0; i < segsize; i++)
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{
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irow = lsub(isub);
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tempv(i) = dense(irow);
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++isub;
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}
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// Dense triangular solve -- start effective triangle
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luptr += nsupr * no_zeros + no_zeros;
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// Form Eigen matrix and vector
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Map<Matrix<Scalar,Dynamic,Dynamic>, 0, OuterStride<> > A( &(lusup.data()[luptr]), segsize, segsize, OuterStride<>(nsupr) );
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VectorBlock<ScalarVector> u(tempv, 0, segsize);
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u = A.template triangularView<UnitLower>().solve(u);
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// Dense matrix-vector product y <-- A*x
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luptr += segsize;
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new (&A) Map<Matrix<Scalar,Dynamic, Dynamic>, 0, OuterStride<> > ( &(lusup.data()[luptr]), nrow, segsize, OuterStride<>(nsupr) );
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VectorBlock<ScalarVector> l(tempv, segsize, nrow);
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l= A * u;
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// Scatter tempv[] into SPA dense[] as a temporary storage
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isub = lptr + no_zeros;
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for (i = 0; i < segsize; i++)
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{
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irow = lsub(isub);
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dense(irow) = tempv(i);
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tempv(i) = Scalar(0.0);
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++isub;
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}
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// Scatter l into SPA dense[]
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for (i = 0; i < nrow; i++)
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{
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irow = lsub(isub);
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dense(irow) -= l(i);
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l(i) = Scalar(0.0);
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++isub;
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}
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return 0;
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}
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#endif
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