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-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr>
-// Copyright (C) 2012 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// This Source Code Form is subject to the terms of the Mozilla
-// Public License v. 2.0. If a copy of the MPL was not distributed
-// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
-
-/*
-
- * NOTE: This file is the modified version of [s,d,c,z]panel_bmod.c file in SuperLU
-
- * -- SuperLU routine (version 3.0) --
- * Univ. of California Berkeley, Xerox Palo Alto Research Center,
- * and Lawrence Berkeley National Lab.
- * October 15, 2003
- *
- * Copyright (c) 1994 by Xerox Corporation. All rights reserved.
- *
- * THIS MATERIAL IS PROVIDED AS IS, WITH ABSOLUTELY NO WARRANTY
- * EXPRESSED OR IMPLIED. ANY USE IS AT YOUR OWN RISK.
- *
- * Permission is hereby granted to use or copy this program for any
- * purpose, provided the above notices are retained on all copies.
- * Permission to modify the code and to distribute modified code is
- * granted, provided the above notices are retained, and a notice that
- * the code was modified is included with the above copyright notice.
- */
-#ifndef SPARSELU_PANEL_BMOD_H
-#define SPARSELU_PANEL_BMOD_H
-
-namespace Eigen {
-namespace internal {
-
-/**
- * \brief Performs numeric block updates (sup-panel) in topological order.
- *
- * Before entering this routine, the original nonzeros in the panel
- * were already copied i nto the spa[m,w]
- *
- * \param m number of rows in the matrix
- * \param w Panel size
- * \param jcol Starting column of the panel
- * \param nseg Number of segments in the U part
- * \param dense Store the full representation of the panel
- * \param tempv working array
- * \param segrep segment representative... first row in the segment
- * \param repfnz First nonzero rows
- * \param glu Global LU data.
- *
- *
- */
-template <typename Scalar, typename StorageIndex>
-void SparseLUImpl<Scalar,StorageIndex>::panel_bmod(const Index m, const Index w, const Index jcol,
- const Index nseg, ScalarVector& dense, ScalarVector& tempv,
- IndexVector& segrep, IndexVector& repfnz, GlobalLU_t& glu)
-{
-
- Index ksub,jj,nextl_col;
- Index fsupc, nsupc, nsupr, nrow;
- Index krep, kfnz;
- Index lptr; // points to the row subscripts of a supernode
- Index luptr; // ...
- Index segsize,no_zeros ;
- // For each nonz supernode segment of U[*,j] in topological order
- Index k = nseg - 1;
- const Index PacketSize = internal::packet_traits<Scalar>::size;
-
- for (ksub = 0; ksub < nseg; ksub++)
- { // For each updating supernode
- /* krep = representative of current k-th supernode
- * fsupc = first supernodal column
- * nsupc = number of columns in a supernode
- * nsupr = number of rows in a supernode
- */
- krep = segrep(k); k--;
- fsupc = glu.xsup(glu.supno(krep));
- nsupc = krep - fsupc + 1;
- nsupr = glu.xlsub(fsupc+1) - glu.xlsub(fsupc);
- nrow = nsupr - nsupc;
- lptr = glu.xlsub(fsupc);
-
- // loop over the panel columns to detect the actual number of columns and rows
- Index u_rows = 0;
- Index u_cols = 0;
- for (jj = jcol; jj < jcol + w; jj++)
- {
- nextl_col = (jj-jcol) * m;
- VectorBlock<IndexVector> repfnz_col(repfnz, nextl_col, m); // First nonzero column index for each row
-
- kfnz = repfnz_col(krep);
- if ( kfnz == emptyIdxLU )
- continue; // skip any zero segment
-
- segsize = krep - kfnz + 1;
- u_cols++;
- u_rows = (std::max)(segsize,u_rows);
- }
-
- if(nsupc >= 2)
- {
- Index ldu = internal::first_multiple<Index>(u_rows, PacketSize);
- Map<ScalarMatrix, Aligned, OuterStride<> > U(tempv.data(), u_rows, u_cols, OuterStride<>(ldu));
-
- // gather U
- Index u_col = 0;
- for (jj = jcol; jj < jcol + w; jj++)
- {
- nextl_col = (jj-jcol) * m;
- VectorBlock<IndexVector> repfnz_col(repfnz, nextl_col, m); // First nonzero column index for each row
- VectorBlock<ScalarVector> dense_col(dense, nextl_col, m); // Scatter/gather entire matrix column from/to here
-
- kfnz = repfnz_col(krep);
- if ( kfnz == emptyIdxLU )
- continue; // skip any zero segment
-
- segsize = krep - kfnz + 1;
- luptr = glu.xlusup(fsupc);
- no_zeros = kfnz - fsupc;
-
- Index isub = lptr + no_zeros;
- Index off = u_rows-segsize;
- for (Index i = 0; i < off; i++) U(i,u_col) = 0;
- for (Index i = 0; i < segsize; i++)
- {
- Index irow = glu.lsub(isub);
- U(i+off,u_col) = dense_col(irow);
- ++isub;
- }
- u_col++;
- }
- // solve U = A^-1 U
- luptr = glu.xlusup(fsupc);
- Index lda = glu.xlusup(fsupc+1) - glu.xlusup(fsupc);
- no_zeros = (krep - u_rows + 1) - fsupc;
- luptr += lda * no_zeros + no_zeros;
- MappedMatrixBlock A(glu.lusup.data()+luptr, u_rows, u_rows, OuterStride<>(lda) );
- U = A.template triangularView<UnitLower>().solve(U);
-
- // update
- luptr += u_rows;
- MappedMatrixBlock B(glu.lusup.data()+luptr, nrow, u_rows, OuterStride<>(lda) );
- eigen_assert(tempv.size()>w*ldu + nrow*w + 1);
-
- Index ldl = internal::first_multiple<Index>(nrow, PacketSize);
- Index offset = (PacketSize-internal::first_default_aligned(B.data(), PacketSize)) % PacketSize;
- MappedMatrixBlock L(tempv.data()+w*ldu+offset, nrow, u_cols, OuterStride<>(ldl));
-
- L.setZero();
- internal::sparselu_gemm<Scalar>(L.rows(), L.cols(), B.cols(), B.data(), B.outerStride(), U.data(), U.outerStride(), L.data(), L.outerStride());
-
- // scatter U and L
- u_col = 0;
- for (jj = jcol; jj < jcol + w; jj++)
- {
- nextl_col = (jj-jcol) * m;
- VectorBlock<IndexVector> repfnz_col(repfnz, nextl_col, m); // First nonzero column index for each row
- VectorBlock<ScalarVector> dense_col(dense, nextl_col, m); // Scatter/gather entire matrix column from/to here
-
- kfnz = repfnz_col(krep);
- if ( kfnz == emptyIdxLU )
- continue; // skip any zero segment
-
- segsize = krep - kfnz + 1;
- no_zeros = kfnz - fsupc;
- Index isub = lptr + no_zeros;
-
- Index off = u_rows-segsize;
- for (Index i = 0; i < segsize; i++)
- {
- Index irow = glu.lsub(isub++);
- dense_col(irow) = U.coeff(i+off,u_col);
- U.coeffRef(i+off,u_col) = 0;
- }
-
- // Scatter l into SPA dense[]
- for (Index i = 0; i < nrow; i++)
- {
- Index irow = glu.lsub(isub++);
- dense_col(irow) -= L.coeff(i,u_col);
- L.coeffRef(i,u_col) = 0;
- }
- u_col++;
- }
- }
- else // level 2 only
- {
- // Sequence through each column in the panel
- for (jj = jcol; jj < jcol + w; jj++)
- {
- nextl_col = (jj-jcol) * m;
- VectorBlock<IndexVector> repfnz_col(repfnz, nextl_col, m); // First nonzero column index for each row
- VectorBlock<ScalarVector> dense_col(dense, nextl_col, m); // Scatter/gather entire matrix column from/to here
-
- kfnz = repfnz_col(krep);
- if ( kfnz == emptyIdxLU )
- continue; // skip any zero segment
-
- segsize = krep - kfnz + 1;
- luptr = glu.xlusup(fsupc);
-
- Index lda = glu.xlusup(fsupc+1)-glu.xlusup(fsupc);// nsupr
-
- // Perform a trianglar solve and block update,
- // then scatter the result of sup-col update to dense[]
- no_zeros = kfnz - fsupc;
- if(segsize==1) LU_kernel_bmod<1>::run(segsize, dense_col, tempv, glu.lusup, luptr, lda, nrow, glu.lsub, lptr, no_zeros);
- else if(segsize==2) LU_kernel_bmod<2>::run(segsize, dense_col, tempv, glu.lusup, luptr, lda, nrow, glu.lsub, lptr, no_zeros);
- else if(segsize==3) LU_kernel_bmod<3>::run(segsize, dense_col, tempv, glu.lusup, luptr, lda, nrow, glu.lsub, lptr, no_zeros);
- else LU_kernel_bmod<Dynamic>::run(segsize, dense_col, tempv, glu.lusup, luptr, lda, nrow, glu.lsub, lptr, no_zeros);
- } // End for each column in the panel
- }
-
- } // End for each updating supernode
-} // end panel bmod
-
-} // end namespace internal
-
-} // end namespace Eigen
-
-#endif // SPARSELU_PANEL_BMOD_H
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