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// This file is part of Eigen, a lightweight C++ template library // for linear algebra. // // Copyright (C) 2012 Désiré Nuentsa-Wakam // // 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 numerical 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 // IWYU pragma: private #include "./InternalHeaderCheck.h" namespace Eigen { namespace internal { enum MemType { LUSUP, UCOL, LSUB, USUB, LLVL, ULVL }; template struct LU_GlobalLU_t { typedef typename IndexVector::Scalar StorageIndex; 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 struct perfvalues { Index panel_size; // a panel consists of at most 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