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Diffstat (limited to 'eigen/Eigen/src/SparseLU/SparseLU_SupernodalMatrix.h')
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diff --git a/eigen/Eigen/src/SparseLU/SparseLU_SupernodalMatrix.h b/eigen/Eigen/src/SparseLU/SparseLU_SupernodalMatrix.h new file mode 100644 index 0000000..54a5694 --- /dev/null +++ b/eigen/Eigen/src/SparseLU/SparseLU_SupernodalMatrix.h @@ -0,0 +1,298 @@ +// 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/. + +#ifndef EIGEN_SPARSELU_SUPERNODAL_MATRIX_H +#define EIGEN_SPARSELU_SUPERNODAL_MATRIX_H + +namespace Eigen { +namespace internal { + +/** \ingroup SparseLU_Module + * \brief a class to manipulate the L supernodal factor from the SparseLU factorization + * + * This class contain the data to easily store + * and manipulate the supernodes during the factorization and solution phase of Sparse LU. + * Only the lower triangular matrix has supernodes. + * + * NOTE : This class corresponds to the SCformat structure in SuperLU + * + */ +/* TODO + * InnerIterator as for sparsematrix + * SuperInnerIterator to iterate through all supernodes + * Function for triangular solve + */ +template <typename _Scalar, typename _Index> +class MappedSuperNodalMatrix +{ + public: + typedef _Scalar Scalar; + typedef _Index Index; + typedef Matrix<Index,Dynamic,1> IndexVector; + typedef Matrix<Scalar,Dynamic,1> ScalarVector; + public: + MappedSuperNodalMatrix() + { + + } + MappedSuperNodalMatrix(Index m, Index n, ScalarVector& nzval, IndexVector& nzval_colptr, IndexVector& rowind, + IndexVector& rowind_colptr, IndexVector& col_to_sup, IndexVector& sup_to_col ) + { + setInfos(m, n, nzval, nzval_colptr, rowind, rowind_colptr, col_to_sup, sup_to_col); + } + + ~MappedSuperNodalMatrix() + { + + } + /** + * Set appropriate pointers for the lower triangular supernodal matrix + * These infos are available at the end of the numerical factorization + * FIXME This class will be modified such that it can be use in the course + * of the factorization. + */ + void setInfos(Index m, Index n, ScalarVector& nzval, IndexVector& nzval_colptr, IndexVector& rowind, + IndexVector& rowind_colptr, IndexVector& col_to_sup, IndexVector& sup_to_col ) + { + m_row = m; + m_col = n; + m_nzval = nzval.data(); + m_nzval_colptr = nzval_colptr.data(); + m_rowind = rowind.data(); + m_rowind_colptr = rowind_colptr.data(); + m_nsuper = col_to_sup(n); + m_col_to_sup = col_to_sup.data(); + m_sup_to_col = sup_to_col.data(); + } + + /** + * Number of rows + */ + Index rows() { return m_row; } + + /** + * Number of columns + */ + Index cols() { return m_col; } + + /** + * Return the array of nonzero values packed by column + * + * The size is nnz + */ + Scalar* valuePtr() { return m_nzval; } + + const Scalar* valuePtr() const + { + return m_nzval; + } + /** + * Return the pointers to the beginning of each column in \ref valuePtr() + */ + Index* colIndexPtr() + { + return m_nzval_colptr; + } + + const Index* colIndexPtr() const + { + return m_nzval_colptr; + } + + /** + * Return the array of compressed row indices of all supernodes + */ + Index* rowIndex() { return m_rowind; } + + const Index* rowIndex() const + { + return m_rowind; + } + + /** + * Return the location in \em rowvaluePtr() which starts each column + */ + Index* rowIndexPtr() { return m_rowind_colptr; } + + const Index* rowIndexPtr() const + { + return m_rowind_colptr; + } + + /** + * Return the array of column-to-supernode mapping + */ + Index* colToSup() { return m_col_to_sup; } + + const Index* colToSup() const + { + return m_col_to_sup; + } + /** + * Return the array of supernode-to-column mapping + */ + Index* supToCol() { return m_sup_to_col; } + + const Index* supToCol() const + { + return m_sup_to_col; + } + + /** + * Return the number of supernodes + */ + Index nsuper() const + { + return m_nsuper; + } + + class InnerIterator; + template<typename Dest> + void solveInPlace( MatrixBase<Dest>&X) const; + + + + + protected: + Index m_row; // Number of rows + Index m_col; // Number of columns + Index m_nsuper; // Number of supernodes + Scalar* m_nzval; //array of nonzero values packed by column + Index* m_nzval_colptr; //nzval_colptr[j] Stores the location in nzval[] which starts column j + Index* m_rowind; // Array of compressed row indices of rectangular supernodes + Index* m_rowind_colptr; //rowind_colptr[j] stores the location in rowind[] which starts column j + Index* m_col_to_sup; // col_to_sup[j] is the supernode number to which column j belongs + Index* m_sup_to_col; //sup_to_col[s] points to the starting column of the s-th supernode + + private : +}; + +/** + * \brief InnerIterator class to iterate over nonzero values of the current column in the supernodal matrix L + * + */ +template<typename Scalar, typename Index> +class MappedSuperNodalMatrix<Scalar,Index>::InnerIterator +{ + public: + InnerIterator(const MappedSuperNodalMatrix& mat, Index outer) + : m_matrix(mat), + m_outer(outer), + m_supno(mat.colToSup()[outer]), + m_idval(mat.colIndexPtr()[outer]), + m_startidval(m_idval), + m_endidval(mat.colIndexPtr()[outer+1]), + m_idrow(mat.rowIndexPtr()[mat.supToCol()[mat.colToSup()[outer]]]), + m_endidrow(mat.rowIndexPtr()[mat.supToCol()[mat.colToSup()[outer]]+1]) + {} + inline InnerIterator& operator++() + { + m_idval++; + m_idrow++; + return *this; + } + inline Scalar value() const { return m_matrix.valuePtr()[m_idval]; } + + inline Scalar& valueRef() { return const_cast<Scalar&>(m_matrix.valuePtr()[m_idval]); } + + inline Index index() const { return m_matrix.rowIndex()[m_idrow]; } + inline Index row() const { return index(); } + inline Index col() const { return m_outer; } + + inline Index supIndex() const { return m_supno; } + + inline operator bool() const + { + return ( (m_idval < m_endidval) && (m_idval >= m_startidval) + && (m_idrow < m_endidrow) ); + } + + protected: + const MappedSuperNodalMatrix& m_matrix; // Supernodal lower triangular matrix + const Index m_outer; // Current column + const Index m_supno; // Current SuperNode number + Index m_idval; // Index to browse the values in the current column + const Index m_startidval; // Start of the column value + const Index m_endidval; // End of the column value + Index m_idrow; // Index to browse the row indices + Index m_endidrow; // End index of row indices of the current column +}; + +/** + * \brief Solve with the supernode triangular matrix + * + */ +template<typename Scalar, typename Index> +template<typename Dest> +void MappedSuperNodalMatrix<Scalar,Index>::solveInPlace( MatrixBase<Dest>&X) const +{ + Index n = X.rows(); + Index nrhs = X.cols(); + const Scalar * Lval = valuePtr(); // Nonzero values + Matrix<Scalar,Dynamic,Dynamic, ColMajor> work(n, nrhs); // working vector + work.setZero(); + for (Index k = 0; k <= nsuper(); k ++) + { + Index fsupc = supToCol()[k]; // First column of the current supernode + Index istart = rowIndexPtr()[fsupc]; // Pointer index to the subscript of the current column + Index nsupr = rowIndexPtr()[fsupc+1] - istart; // Number of rows in the current supernode + Index nsupc = supToCol()[k+1] - fsupc; // Number of columns in the current supernode + Index nrow = nsupr - nsupc; // Number of rows in the non-diagonal part of the supernode + Index irow; //Current index row + + if (nsupc == 1 ) + { + for (Index j = 0; j < nrhs; j++) + { + InnerIterator it(*this, fsupc); + ++it; // Skip the diagonal element + for (; it; ++it) + { + irow = it.row(); + X(irow, j) -= X(fsupc, j) * it.value(); + } + } + } + else + { + // The supernode has more than one column + Index luptr = colIndexPtr()[fsupc]; + Index lda = colIndexPtr()[fsupc+1] - luptr; + + // Triangular solve + Map<const Matrix<Scalar,Dynamic,Dynamic, ColMajor>, 0, OuterStride<> > A( &(Lval[luptr]), nsupc, nsupc, OuterStride<>(lda) ); + Map< Matrix<Scalar,Dynamic,Dynamic, ColMajor>, 0, OuterStride<> > U (&(X(fsupc,0)), nsupc, nrhs, OuterStride<>(n) ); + U = A.template triangularView<UnitLower>().solve(U); + + // Matrix-vector product + new (&A) Map<const Matrix<Scalar,Dynamic,Dynamic, ColMajor>, 0, OuterStride<> > ( &(Lval[luptr+nsupc]), nrow, nsupc, OuterStride<>(lda) ); + work.block(0, 0, nrow, nrhs) = A * U; + + //Begin Scatter + for (Index j = 0; j < nrhs; j++) + { + Index iptr = istart + nsupc; + for (Index i = 0; i < nrow; i++) + { + irow = rowIndex()[iptr]; + X(irow, j) -= work(i, j); // Scatter operation + work(i, j) = Scalar(0); + iptr++; + } + } + } + } +} + +} // end namespace internal + +} // end namespace Eigen + +#endif // EIGEN_SPARSELU_MATRIX_H |