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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr>
5 //
6 // This Source Code Form is subject to the terms of the Mozilla
7 // Public License v. 2.0. If a copy of the MPL was not distributed
8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9 #ifndef SPARSELU_IMPL_H
10 #define SPARSELU_IMPL_H
11 
12 namespace Eigen {
13 namespace internal {
14 
15 /** \ingroup SparseLU_Module
16   * \class SparseLUImpl
17   * Base class for sparseLU
18   */
19 template <typename Scalar, typename StorageIndex>
20 class SparseLUImpl
21 {
22   public:
23     typedef Matrix<Scalar,Dynamic,1> ScalarVector;
24     typedef Matrix<StorageIndex,Dynamic,1> IndexVector;
25     typedef Matrix<Scalar,Dynamic,Dynamic,ColMajor> ScalarMatrix;
26     typedef Map<ScalarMatrix, 0,  OuterStride<> > MappedMatrixBlock;
27     typedef typename ScalarVector::RealScalar RealScalar;
28     typedef Ref<Matrix<Scalar,Dynamic,1> > BlockScalarVector;
29     typedef Ref<Matrix<StorageIndex,Dynamic,1> > BlockIndexVector;
30     typedef LU_GlobalLU_t<IndexVector, ScalarVector> GlobalLU_t;
31     typedef SparseMatrix<Scalar,ColMajor,StorageIndex> MatrixType;
32 
33   protected:
34      template <typename VectorType>
35      Index expand(VectorType& vec, Index& length, Index nbElts, Index keep_prev, Index& num_expansions);
36      Index memInit(Index m, Index n, Index annz, Index lwork, Index fillratio, Index panel_size,  GlobalLU_t& glu);
37      template <typename VectorType>
38      Index memXpand(VectorType& vec, Index& maxlen, Index nbElts, MemType memtype, Index& num_expansions);
39      void heap_relax_snode (const Index n, IndexVector& et, const Index relax_columns, IndexVector& descendants, IndexVector& relax_end);
40      void relax_snode (const Index n, IndexVector& et, const Index relax_columns, IndexVector& descendants, IndexVector& relax_end);
41      Index snode_dfs(const Index jcol, const Index kcol,const MatrixType& mat,  IndexVector& xprune, IndexVector& marker, GlobalLU_t& glu);
42      Index snode_bmod (const Index jcol, const Index fsupc, ScalarVector& dense, GlobalLU_t& glu);
43      Index pivotL(const Index jcol, const RealScalar& diagpivotthresh, IndexVector& perm_r, IndexVector& iperm_c, Index& pivrow, GlobalLU_t& glu);
44      template <typename Traits>
45      void dfs_kernel(const StorageIndex jj, IndexVector& perm_r,
46                     Index& nseg, IndexVector& panel_lsub, IndexVector& segrep,
47                     Ref<IndexVector> repfnz_col, IndexVector& xprune, Ref<IndexVector> marker, IndexVector& parent,
48                     IndexVector& xplore, GlobalLU_t& glu, Index& nextl_col, Index krow, Traits& traits);
49      void panel_dfs(const Index m, const Index w, const Index jcol, MatrixType& A, IndexVector& perm_r, Index& nseg, ScalarVector& dense, IndexVector& panel_lsub, IndexVector& segrep, IndexVector& repfnz, IndexVector& xprune, IndexVector& marker, IndexVector& parent, IndexVector& xplore, GlobalLU_t& glu);
50 
51      void 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);
52      Index column_dfs(const Index m, const Index jcol, IndexVector& perm_r, Index maxsuper, Index& nseg,  BlockIndexVector lsub_col, IndexVector& segrep, BlockIndexVector repfnz, IndexVector& xprune, IndexVector& marker, IndexVector& parent, IndexVector& xplore, GlobalLU_t& glu);
53      Index column_bmod(const Index jcol, const Index nseg, BlockScalarVector dense, ScalarVector& tempv, BlockIndexVector segrep, BlockIndexVector repfnz, Index fpanelc, GlobalLU_t& glu);
54      Index copy_to_ucol(const Index jcol, const Index nseg, IndexVector& segrep, BlockIndexVector repfnz ,IndexVector& perm_r, BlockScalarVector dense, GlobalLU_t& glu);
55      void pruneL(const Index jcol, const IndexVector& perm_r, const Index pivrow, const Index nseg, const IndexVector& segrep, BlockIndexVector repfnz, IndexVector& xprune, GlobalLU_t& glu);
56      void countnz(const Index n, Index& nnzL, Index& nnzU, GlobalLU_t& glu);
57      void fixupL(const Index n, const IndexVector& perm_r, GlobalLU_t& glu);
58 
59      template<typename , typename >
60      friend struct column_dfs_traits;
61 };
62 
63 } // end namespace internal
64 } // namespace Eigen
65 
66 #endif
67