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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>
-//
-// 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 comes from a partly modified version of files slu_[s,d,c,z]defs.h
- * -- SuperLU routine (version 4.1) --
- * Univ. of California Berkeley, Xerox Palo Alto Research Center,
- * and Lawrence Berkeley National Lab.
- * November, 2010
- *
- * Global data structures used in LU factorization -
- *
- * nsuper: #supernodes = nsuper + 1, numbered [0, nsuper].
- * (xsup,supno): supno[i] is the supernode no to which i belongs;
- * xsup(s) points to the beginning of the s-th supernode.
- * e.g. supno 0 1 2 2 3 3 3 4 4 4 4 4 (n=12)
- * xsup 0 1 2 4 7 12
- * Note: dfs will be performed on supernode rep. relative to the new
- * row pivoting ordering
- *
- * (xlsub,lsub): lsub[*] contains the compressed subscript of
- * rectangular supernodes; xlsub[j] points to the starting
- * location of the j-th column in lsub[*]. Note that xlsub
- * is indexed by column.
- * Storage: original row subscripts
- *
- * During the course of sparse LU factorization, we also use
- * (xlsub,lsub) for the purpose of symmetric pruning. For each
- * supernode {s,s+1,...,t=s+r} with first column s and last
- * column t, the subscript set
- * lsub[j], j=xlsub[s], .., xlsub[s+1]-1
- * is the structure of column s (i.e. structure of this supernode).
- * It is used for the storage of numerical values.
- * Furthermore,
- * lsub[j], j=xlsub[t], .., xlsub[t+1]-1
- * is the structure of the last column t of this supernode.
- * It is for the purpose of symmetric pruning. Therefore, the
- * structural subscripts can be rearranged without making physical
- * interchanges among the numerical values.
- *
- * However, if the supernode has only one column, then we
- * only keep one set of subscripts. For any subscript interchange
- * performed, similar interchange must be done on the numerical
- * values.
- *
- * The last column structures (for pruning) will be removed
- * after the numercial LU factorization phase.
- *
- * (xlusup,lusup): lusup[*] contains the numerical values of the
- * rectangular supernodes; xlusup[j] points to the starting
- * location of the j-th column in storage vector lusup[*]
- * Note: xlusup is indexed by column.
- * Each rectangular supernode is stored by column-major
- * scheme, consistent with Fortran 2-dim array storage.
- *
- * (xusub,ucol,usub): ucol[*] stores the numerical values of
- * U-columns outside the rectangular supernodes. The row
- * subscript of nonzero ucol[k] is stored in usub[k].
- * xusub[i] points to the starting location of column i in ucol.
- * Storage: new row subscripts; that is subscripts of PA.
- */
-
-#ifndef EIGEN_LU_STRUCTS
-#define EIGEN_LU_STRUCTS
-namespace Eigen {
-namespace internal {
-
-typedef enum {LUSUP, UCOL, LSUB, USUB, LLVL, ULVL} MemType;
-
-template <typename IndexVector, typename ScalarVector>
-struct LU_GlobalLU_t {
- typedef typename IndexVector::Scalar Index;
- IndexVector xsup; //First supernode column ... xsup(s) points to the beginning of the s-th supernode
- IndexVector supno; // Supernode number corresponding to this column (column to supernode mapping)
- ScalarVector lusup; // nonzero values of L ordered by columns
- IndexVector lsub; // Compressed row indices of L rectangular supernodes.
- IndexVector xlusup; // pointers to the beginning of each column in lusup
- IndexVector xlsub; // pointers to the beginning of each column in lsub
- Index nzlmax; // Current max size of lsub
- Index nzlumax; // Current max size of lusup
- ScalarVector ucol; // nonzero values of U ordered by columns
- IndexVector usub; // row indices of U columns in ucol
- IndexVector xusub; // Pointers to the beginning of each column of U in ucol
- Index nzumax; // Current max size of ucol
- Index n; // Number of columns in the matrix
- Index num_expansions;
-};
-
-// Values to set for performance
-template <typename Index>
-struct perfvalues {
- Index panel_size; // a panel consists of at most <panel_size> consecutive columns
- Index relax; // To control degree of relaxing supernodes. If the number of nodes (columns)
- // in a subtree of the elimination tree is less than relax, this subtree is considered
- // as one supernode regardless of the row structures of those columns
- Index maxsuper; // The maximum size for a supernode in complete LU
- Index rowblk; // The minimum row dimension for 2-D blocking to be used;
- Index colblk; // The minimum column dimension for 2-D blocking to be used;
- Index fillfactor; // The estimated fills factors for L and U, compared with A
-};
-
-} // end namespace internal
-
-} // end namespace Eigen
-#endif // EIGEN_LU_STRUCTS