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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 Dsir Nuentsa-Wakam <desire.nuentsa_wakam (at) 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