/usr/include/deal.II/multigrid/mg_matrix.h is in libdeal.ii-dev 8.4.2-2+b1.
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//
// Copyright (C) 2003 - 2016 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------
#ifndef dealii__mg_matrix_h
#define dealii__mg_matrix_h
#include <deal.II/lac/vector.h>
#include <deal.II/lac/pointer_matrix.h>
#include <deal.II/lac/sparse_matrix.h>
#include <deal.II/multigrid/mg_base.h>
#include <deal.II/base/mg_level_object.h>
#include <deal.II/base/std_cxx11/shared_ptr.h>
DEAL_II_NAMESPACE_OPEN
/*!@addtogroup mg */
/*@{*/
namespace mg
{
/**
* Multilevel matrix. This matrix stores an MGLevelObject of
* PointerMatrixBase objects. It implements the interface defined in
* MGMatrixBase, so that it can be used as a matrix in Multigrid.
*
* @author Guido Kanschat
* @date 2002, 2010
*/
template <typename VectorType = Vector<double> >
class Matrix
: public MGMatrixBase<VectorType>
{
public:
/**
* Default constructor for an empty object.
*/
Matrix();
/**
* Constructor setting up pointers to the matrices in <tt>M</tt> by
* calling initialize().
*/
template <typename MatrixType>
Matrix(const MGLevelObject<MatrixType> &M);
/**
* Initialize the object such that the level multiplication uses the
* matrices in <tt>M</tt>
*/
template <typename MatrixType>
void
initialize(const MGLevelObject<MatrixType> &M);
/**
* Access matrix on a level.
*/
const PointerMatrixBase<VectorType> &operator[] (unsigned int level) const;
virtual void vmult (const unsigned int level, VectorType &dst, const VectorType &src) const;
virtual void vmult_add (const unsigned int level, VectorType &dst, const VectorType &src) const;
virtual void Tvmult (const unsigned int level, VectorType &dst, const VectorType &src) const;
virtual void Tvmult_add (const unsigned int level, VectorType &dst, const VectorType &src) const;
/**
* Memory used by this object.
*/
std::size_t memory_consumption () const;
private:
MGLevelObject<std_cxx11::shared_ptr<PointerMatrixBase<VectorType> > > matrices;
};
}
/**
* Multilevel matrix selecting from block matrices. This class implements the
* interface defined by MGMatrixBase. The template parameter @p MatrixType
* should be a block matrix class like BlockSparseMatrix or @p
* BlockSparseMatrixEZ. Then, this class stores a pointer to a MGLevelObject
* of this matrix class. In each @p vmult, the block selected on
* initialization will be multiplied with the vector provided.
*
* @author Guido Kanschat, 2002
*/
template <typename MatrixType, typename number>
class MGMatrixSelect : public MGMatrixBase<Vector<number> >
{
public:
/**
* Constructor. @p row and @p col are the coordinate of the selected block.
* The other argument is handed over to the @p SmartPointer constructor.
*/
MGMatrixSelect (const unsigned int row = 0,
const unsigned int col = 0,
MGLevelObject<MatrixType> *matrix = 0);
/**
* Set the matrix object to be used. The matrix object must exist longer as
* the @p MGMatrix object, since only a pointer is stored.
*/
void set_matrix (MGLevelObject<MatrixType> *M);
/**
* Select the block for multiplication.
*/
void select_block (const unsigned int row,
const unsigned int col);
/**
* Matrix-vector-multiplication on a certain level.
*/
virtual void vmult (const unsigned int level,
Vector<number> &dst,
const Vector<number> &src) const;
/**
* Adding matrix-vector-multiplication on a certain level.
*/
virtual void vmult_add (const unsigned int level,
Vector<number> &dst,
const Vector<number> &src) const;
/**
* Transpose matrix-vector-multiplication on a certain level.
*/
virtual void Tvmult (const unsigned int level,
Vector<number> &dst,
const Vector<number> &src) const;
/**
* Adding transpose matrix-vector-multiplication on a certain level.
*/
virtual void Tvmult_add (const unsigned int level,
Vector<number> &dst,
const Vector<number> &src) const;
private:
/**
* Pointer to the matrix objects on each level.
*/
SmartPointer<MGLevelObject<MatrixType>,MGMatrixSelect<MatrixType,number> > matrix;
/**
* Row coordinate of selected block.
*/
unsigned int row;
/**
* Column coordinate of selected block.
*/
unsigned int col;
};
/*@}*/
/*----------------------------------------------------------------------*/
namespace mg
{
template <typename VectorType>
template <typename MatrixType>
inline
void
Matrix<VectorType>::initialize (const MGLevelObject<MatrixType> &p)
{
matrices.resize(p.min_level(), p.max_level());
for (unsigned int level=p.min_level(); level <= p.max_level(); ++level)
matrices[level] = std_cxx11::shared_ptr<PointerMatrixBase<VectorType> >
(new_pointer_matrix_base(p[level], VectorType()));
}
template <typename VectorType>
template <typename MatrixType>
inline
Matrix<VectorType>::Matrix (const MGLevelObject<MatrixType> &p)
{
initialize(p);
}
template <typename VectorType>
inline
Matrix<VectorType>::Matrix ()
{}
template <typename VectorType>
inline
const PointerMatrixBase<VectorType> &
Matrix<VectorType>::operator[] (unsigned int level) const
{
return *matrices[level];
}
template <typename VectorType>
void
Matrix<VectorType>::vmult (const unsigned int level,
VectorType &dst,
const VectorType &src) const
{
matrices[level]->vmult(dst, src);
}
template <typename VectorType>
void
Matrix<VectorType>::vmult_add (const unsigned int level,
VectorType &dst,
const VectorType &src) const
{
matrices[level]->vmult_add(dst, src);
}
template <typename VectorType>
void
Matrix<VectorType>::Tvmult (const unsigned int level,
VectorType &dst,
const VectorType &src) const
{
matrices[level]->Tvmult(dst, src);
}
template <typename VectorType>
void
Matrix<VectorType>::Tvmult_add (const unsigned int level,
VectorType &dst,
const VectorType &src) const
{
matrices[level]->Tvmult_add(dst, src);
}
template <typename VectorType>
inline
std::size_t
Matrix<VectorType>::memory_consumption () const
{
return sizeof(*this) + matrices->memory_consumption();
}
}
/*----------------------------------------------------------------------*/
template <typename MatrixType, typename number>
MGMatrixSelect<MatrixType, number>::
MGMatrixSelect (const unsigned int row,
const unsigned int col,
MGLevelObject<MatrixType> *p)
:
matrix (p, typeid(*this).name()),
row(row),
col(col)
{}
template <typename MatrixType, typename number>
void
MGMatrixSelect<MatrixType, number>::set_matrix (MGLevelObject<MatrixType> *p)
{
matrix = p;
}
template <typename MatrixType, typename number>
void
MGMatrixSelect<MatrixType, number>::
select_block (const unsigned int brow,
const unsigned int bcol)
{
row = brow;
col = bcol;
}
template <typename MatrixType, typename number>
void
MGMatrixSelect<MatrixType, number>::
vmult (const unsigned int level,
Vector<number> &dst,
const Vector<number> &src) const
{
Assert(matrix != 0, ExcNotInitialized());
const MGLevelObject<MatrixType> &m = *matrix;
m[level].block(row, col).vmult(dst, src);
}
template <typename MatrixType, typename number>
void
MGMatrixSelect<MatrixType, number>::
vmult_add (const unsigned int level,
Vector<number> &dst,
const Vector<number> &src) const
{
Assert(matrix != 0, ExcNotInitialized());
const MGLevelObject<MatrixType> &m = *matrix;
m[level].block(row, col).vmult_add(dst, src);
}
template <typename MatrixType, typename number>
void
MGMatrixSelect<MatrixType, number>::
Tvmult (const unsigned int level,
Vector<number> &dst,
const Vector<number> &src) const
{
Assert(matrix != 0, ExcNotInitialized());
const MGLevelObject<MatrixType> &m = *matrix;
m[level].block(row, col).Tvmult(dst, src);
}
template <typename MatrixType, typename number>
void
MGMatrixSelect<MatrixType, number>::
Tvmult_add (const unsigned int level,
Vector<number> &dst,
const Vector<number> &src) const
{
Assert(matrix != 0, ExcNotInitialized());
const MGLevelObject<MatrixType> &m = *matrix;
m[level].block(row, col).Tvmult_add(dst, src);
}
DEAL_II_NAMESPACE_CLOSE
#endif
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