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Public Types | Public Member Functions | Static Public Member Functions | Protected Member Functions | Protected Attributes | Private Attributes | Static Private Attributes | List of all members
BlockSparseMatrixEZ< Number > Class Template Reference

#include <deal.II/lac/block_sparse_matrix_ez.h>

Detailed Description

template<typename Number>
class BlockSparseMatrixEZ< Number >

A block matrix consisting of blocks of type SparseMatrixEZ.

Like the other Block-objects, this matrix can be used like a SparseMatrixEZ, when it comes to access to entries. Then, there are functions for the multiplication with BlockVector and access to the individual blocks.

See also
Block (linear algebra)

Definition at line 54 of file block_sparse_matrix_ez.h.

Inheritance diagram for BlockSparseMatrixEZ< Number >:
[legend]

Public Types

using BaseClass = BlockMatrixBase< SparseMatrixEZ< Number > >
 
using size_type = types::global_dof_index
 
using BlockType = SparseMatrixEZ< Number >
 
using value_type = typename BlockType::value_type
 
using real_type = typename numbers::NumberTraits< value_type >::real_type
 
using pointer = value_type *
 
using const_pointer = const value_type *
 
using reference = value_type &
 
using const_reference = const value_type &
 
using iterator = MatrixIterator< BlockMatrixIterators::Accessor< BlockMatrixBase, false > >
 
using const_iterator = MatrixIterator< BlockMatrixIterators::Accessor< BlockMatrixBase, true > >
 

Public Member Functions

 BlockSparseMatrixEZ ()=default
 
 BlockSparseMatrixEZ (const unsigned int block_rows, const unsigned int block_cols)
 
 BlockSparseMatrixEZ (const BlockSparseMatrixEZ< Number > &)
 
BlockSparseMatrixEZ & operator= (const BlockSparseMatrixEZ< Number > &)
 
BlockSparseMatrixEZ & operator= (const double d)
 
void clear ()
 
void reinit (const unsigned int n_block_rows, const unsigned int n_block_cols)
 
void collect_sizes ()
 
bool empty () const
 
template<typename StreamType >
void print_statistics (StreamType &s, bool full=false)
 
BlockMatrixBase & copy_from (const BlockMatrixType &source)
 
BlockType & block (const unsigned int row, const unsigned int column)
 
const BlockType & block (const unsigned int row, const unsigned int column) const
 
size_type m () const
 
size_type n () const
 
unsigned int n_block_rows () const
 
unsigned int n_block_cols () const
 
void set (const size_type i, const size_type j, const value_type value)
 
void set (const std::vector< size_type > &indices, const FullMatrix< number > &full_matrix, const bool elide_zero_values=false)
 
void set (const std::vector< size_type > &row_indices, const std::vector< size_type > &col_indices, const FullMatrix< number > &full_matrix, const bool elide_zero_values=false)
 
void set (const size_type row, const std::vector< size_type > &col_indices, const std::vector< number > &values, const bool elide_zero_values=false)
 
void set (const size_type row, const size_type n_cols, const size_type *col_indices, const number *values, const bool elide_zero_values=false)
 
void add (const size_type i, const size_type j, const value_type value)
 
void add (const std::vector< size_type > &indices, const FullMatrix< number > &full_matrix, const bool elide_zero_values=true)
 
void add (const std::vector< size_type > &row_indices, const std::vector< size_type > &col_indices, const FullMatrix< number > &full_matrix, const bool elide_zero_values=true)
 
void add (const size_type row, const std::vector< size_type > &col_indices, const std::vector< number > &values, const bool elide_zero_values=true)
 
void add (const size_type row, const size_type n_cols, const size_type *col_indices, const number *values, const bool elide_zero_values=true, const bool col_indices_are_sorted=false)
 
void add (const value_type factor, const BlockMatrixBase< SparseMatrixEZ< Number > > &matrix)
 
value_type operator() (const size_type i, const size_type j) const
 
value_type el (const size_type i, const size_type j) const
 
value_type diag_element (const size_type i) const
 
void compress (VectorOperation::values operation)
 
BlockMatrixBase & operator*= (const value_type factor)
 
BlockMatrixBase & operator/= (const value_type factor)
 
void vmult_add (BlockVectorType &dst, const BlockVectorType &src) const
 
void Tvmult_add (BlockVectorType &dst, const BlockVectorType &src) const
 
value_type matrix_norm_square (const BlockVectorType &v) const
 
real_type frobenius_norm () const
 
value_type matrix_scalar_product (const BlockVectorType &u, const BlockVectorType &v) const
 
value_type residual (BlockVectorType &dst, const BlockVectorType &x, const BlockVectorType &b) const
 
void print (std::ostream &out, const bool alternative_output=false) const
 
iterator begin ()
 
iterator begin (const size_type r)
 
const_iterator begin () const
 
const_iterator begin (const size_type r) const
 
iterator end ()
 
iterator end (const size_type r)
 
const_iterator end () const
 
const_iterator end (const size_type r) const
 
const BlockIndices & get_row_indices () const
 
const BlockIndices & get_column_indices () const
 
std::size_t memory_consumption () const
 
template<class Archive >
void serialize (Archive &ar, const unsigned int version)
 
Multiplications
template<typename block_number >
void vmult (BlockVector< block_number > &dst, const BlockVector< block_number > &src) const
 
template<typename block_number , typename nonblock_number >
void vmult (BlockVector< block_number > &dst, const Vector< nonblock_number > &src) const
 
template<typename block_number , typename nonblock_number >
void vmult (Vector< nonblock_number > &dst, const BlockVector< block_number > &src) const
 
template<typename nonblock_number >
void vmult (Vector< nonblock_number > &dst, const Vector< nonblock_number > &src) const
 
template<typename block_number >
void Tvmult (BlockVector< block_number > &dst, const BlockVector< block_number > &src) const
 
template<typename block_number , typename nonblock_number >
void Tvmult (BlockVector< block_number > &dst, const Vector< nonblock_number > &src) const
 
template<typename block_number , typename nonblock_number >
void Tvmult (Vector< nonblock_number > &dst, const BlockVector< block_number > &src) const
 
template<typename nonblock_number >
void Tvmult (Vector< nonblock_number > &dst, const Vector< nonblock_number > &src) const
 
Querying the observer pointers an object has.
unsigned int n_subscriptions () const
 
template<typename StreamType >
void list_subscribers (StreamType &stream) const
 
void list_subscribers () const
 

Static Public Member Functions

static ::ExceptionBase & ExcIncompatibleRowNumbers (int arg1, int arg2, int arg3, int arg4)
 
static ::ExceptionBase & ExcIncompatibleColNumbers (int arg1, int arg2, int arg3, int arg4)
 
static ::ExceptionBase & ExcInUse (int arg1, std::string arg2, std::string arg3)
 
static ::ExceptionBase & ExcNoSubscriber (std::string arg1, std::string arg2)
 

Protected Member Functions

void vmult_block_block (BlockVectorType &dst, const BlockVectorType &src) const
 
void vmult_block_nonblock (BlockVectorType &dst, const VectorType &src) const
 
void vmult_nonblock_block (VectorType &dst, const BlockVectorType &src) const
 
void vmult_nonblock_nonblock (VectorType &dst, const VectorType &src) const
 
void Tvmult_block_block (BlockVectorType &dst, const BlockVectorType &src) const
 
void Tvmult_block_nonblock (BlockVectorType &dst, const VectorType &src) const
 
void Tvmult_nonblock_block (VectorType &dst, const BlockVectorType &src) const
 
void Tvmult_nonblock_nonblock (VectorType &dst, const VectorType &src) const
 
void prepare_add_operation ()
 
void prepare_set_operation ()
 

Protected Attributes

BlockIndices row_block_indices
 
BlockIndices column_block_indices
 
Table< 2, ObserverPointer< BlockType, BlockMatrixBase< SparseMatrixEZ< Number > > > > sub_objects
 

Private Member Functions

EnableObserverPointer functionality

Classes derived from EnableObserverPointer provide a facility to subscribe to this object. This is mostly used by the ObserverPointer class.

void subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
 
void unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
 
void check_no_subscribers () const noexcept
 

Private Attributes

TemporaryData temporary_data
 
std::atomic< unsigned int > counter
 
std::map< std::string, unsigned int > counter_map
 
std::vector< std::atomic< bool > * > validity_pointers
 
const std::type_info * object_info
 

Static Private Attributes

static std::mutex mutex
 

Member Typedef Documentation

◆ BaseClass

template<typename Number >
using BlockSparseMatrixEZ< Number >::BaseClass = BlockMatrixBase<SparseMatrixEZ<Number> >

Typedef the base class for simpler access to its own alias.

Definition at line 60 of file block_sparse_matrix_ez.h.

◆ size_type

template<typename Number >
using BlockSparseMatrixEZ< Number >::size_type = types::global_dof_index

Declare type for container size.

Definition at line 65 of file block_sparse_matrix_ez.h.

◆ BlockType

using BlockMatrixBase< SparseMatrixEZ< Number > >::BlockType = SparseMatrixEZ< Number >
inherited

Typedef the type of the underlying matrix.

Definition at line 353 of file block_matrix_base.h.

◆ value_type

using BlockMatrixBase< SparseMatrixEZ< Number > >::value_type = typename BlockType::value_type
inherited

Type of matrix entries. These are analogous to alias in the standard library containers.

Definition at line 359 of file block_matrix_base.h.

◆ real_type

using BlockMatrixBase< SparseMatrixEZ< Number > >::real_type = typename numbers::NumberTraits<value_type>::real_type
inherited

Definition at line 360 of file block_matrix_base.h.

◆ pointer

using BlockMatrixBase< SparseMatrixEZ< Number > >::pointer = value_type *
inherited

Definition at line 361 of file block_matrix_base.h.

◆ const_pointer

using BlockMatrixBase< SparseMatrixEZ< Number > >::const_pointer = const value_type *
inherited

Definition at line 362 of file block_matrix_base.h.

◆ reference

using BlockMatrixBase< SparseMatrixEZ< Number > >::reference = value_type &
inherited

Definition at line 363 of file block_matrix_base.h.

◆ const_reference

using BlockMatrixBase< SparseMatrixEZ< Number > >::const_reference = const value_type &
inherited

Definition at line 364 of file block_matrix_base.h.

◆ iterator

Definition at line 367 of file block_matrix_base.h.

◆ const_iterator

using BlockMatrixBase< SparseMatrixEZ< Number > >::const_iterator = MatrixIterator<BlockMatrixIterators::Accessor<BlockMatrixBase, true> >
inherited

Definition at line 370 of file block_matrix_base.h.

Constructor & Destructor Documentation

◆ BlockSparseMatrixEZ() [1/3]

template<typename Number >
BlockSparseMatrixEZ< Number >::BlockSparseMatrixEZ ( )
default

Default constructor. The result is an empty object with zero dimensions.

◆ BlockSparseMatrixEZ() [2/3]

template<typename Number >
BlockSparseMatrixEZ< Number >::BlockSparseMatrixEZ ( const unsigned int  block_rows,
const unsigned int  block_cols 
)

Constructor setting up an object with given number of block rows and columns. The blocks themselves still have zero dimension.

◆ BlockSparseMatrixEZ() [3/3]

template<typename Number >
BlockSparseMatrixEZ< Number >::BlockSparseMatrixEZ ( const BlockSparseMatrixEZ< Number > &  )

Copy constructor. This is needed for some container classes. It creates an object of the same number of block rows and columns. To avoid unwanted loss of information, the blocks of the other matrix must be empty.

Member Function Documentation

◆ operator=() [1/2]

template<typename Number >
BlockSparseMatrixEZ & BlockSparseMatrixEZ< Number >::operator= ( const BlockSparseMatrixEZ< Number > &  )

Copy operator. Like the copy constructor, this may be called for objects with empty blocks only.

◆ operator=() [2/2]

template<typename Number >
BlockSparseMatrixEZ & BlockSparseMatrixEZ< Number >::operator= ( const double  d)

This operator assigns a scalar to a matrix. Since this does usually not make much sense (should we set all matrix entries to this value? Only the nonzero entries of the sparsity pattern?), this operation is only allowed if the actual value to be assigned is zero. This operator only exists to allow for the obvious notation matrix=0, which sets all elements of the matrix to zero, but keep the sparsity pattern previously used.

◆ clear()

template<typename Number >
void BlockSparseMatrixEZ< Number >::clear ( )

Set matrix to zero dimensions and release memory.

◆ reinit()

template<typename Number >
void BlockSparseMatrixEZ< Number >::reinit ( const unsigned int  n_block_rows,
const unsigned int  n_block_cols 
)

Initialize to given block numbers. After this operation, the matrix will have the block dimensions provided. Each block will have zero dimensions and must be initialized subsequently. After setting the sizes of the blocks, collect_sizes() must be called to update internal data structures.

◆ collect_sizes()

template<typename Number >
void BlockSparseMatrixEZ< Number >::collect_sizes ( )

This function collects the sizes of the sub-objects and stores them in internal arrays, in order to be able to relay global indices into the matrix to indices into the subobjects. You must call this function each time after you have changed the size of the sub-objects.

◆ empty()

template<typename Number >
bool BlockSparseMatrixEZ< Number >::empty ( ) const

Return whether the object is empty. It is empty if no memory is allocated, which is the same as that both dimensions are zero. This function is just the concatenation of the respective call to all sub-matrices.

◆ vmult() [1/4]

template<typename number >
template<typename block_number >
void BlockSparseMatrixEZ< number >::vmult ( BlockVector< block_number > &  dst,
const BlockVector< block_number > &  src 
) const
inline

Matrix-vector multiplication: let \(dst = M*src\) with \(M\) being this matrix.

Definition at line 233 of file block_sparse_matrix_ez.h.

◆ vmult() [2/4]

template<typename number >
template<typename block_number , typename nonblock_number >
void BlockSparseMatrixEZ< number >::vmult ( BlockVector< block_number > &  dst,
const Vector< nonblock_number > &  src 
) const
inline

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block column.

Definition at line 242 of file block_sparse_matrix_ez.h.

◆ vmult() [3/4]

template<typename number >
template<typename block_number , typename nonblock_number >
void BlockSparseMatrixEZ< number >::vmult ( Vector< nonblock_number > &  dst,
const BlockVector< block_number > &  src 
) const
inline

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block row.

Definition at line 251 of file block_sparse_matrix_ez.h.

◆ vmult() [4/4]

template<typename number >
template<typename nonblock_number >
void BlockSparseMatrixEZ< number >::vmult ( Vector< nonblock_number > &  dst,
const Vector< nonblock_number > &  src 
) const
inline

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block.

Definition at line 260 of file block_sparse_matrix_ez.h.

◆ Tvmult() [1/4]

template<typename number >
template<typename block_number >
void BlockSparseMatrixEZ< number >::Tvmult ( BlockVector< block_number > &  dst,
const BlockVector< block_number > &  src 
) const
inline

Matrix-vector multiplication: let \(dst = M^T*src\) with \(M\) being this matrix. This function does the same as vmult() but takes the transposed matrix.

Definition at line 269 of file block_sparse_matrix_ez.h.

◆ Tvmult() [2/4]

template<typename number >
template<typename block_number , typename nonblock_number >
void BlockSparseMatrixEZ< number >::Tvmult ( BlockVector< block_number > &  dst,
const Vector< nonblock_number > &  src 
) const
inline

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block row.

Definition at line 278 of file block_sparse_matrix_ez.h.

◆ Tvmult() [3/4]

template<typename number >
template<typename block_number , typename nonblock_number >
void BlockSparseMatrixEZ< number >::Tvmult ( Vector< nonblock_number > &  dst,
const BlockVector< block_number > &  src 
) const
inline

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block column.

Definition at line 287 of file block_sparse_matrix_ez.h.

◆ Tvmult() [4/4]

template<typename number >
template<typename nonblock_number >
void BlockSparseMatrixEZ< number >::Tvmult ( Vector< nonblock_number > &  dst,
const Vector< nonblock_number > &  src 
) const
inline

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block.

Definition at line 296 of file block_sparse_matrix_ez.h.

◆ print_statistics()

template<typename number >
template<typename StreamType >
void BlockSparseMatrixEZ< number >::print_statistics ( StreamType &  s,
bool  full = false 
)
inline

Print statistics. If full is true, prints a histogram of all existing row lengths and allocated row lengths. Otherwise, just the relation of allocated and used entries is shown.

Definition at line 307 of file block_sparse_matrix_ez.h.

◆ copy_from()

BlockMatrixBase & BlockMatrixBase< SparseMatrixEZ< Number > >::copy_from ( const BlockMatrixType &  source)
inherited

Copy the matrix given as argument into the current object.

Copying matrices is an expensive operation that we do not want to happen by accident through compiler generated code for operator=. (This would happen, for example, if one accidentally declared a function argument of the current type by value rather than by reference.) The functionality of copying matrices is implemented in this member function instead. All copy operations of objects of this type therefore require an explicit function call.

The source matrix may be a matrix of arbitrary type, as long as its data type is convertible to the data type of this matrix.

The function returns a reference to this.

◆ block() [1/2]

BlockType & BlockMatrixBase< SparseMatrixEZ< Number > >::block ( const unsigned int  row,
const unsigned int  column 
)
inherited

Access the block with the given coordinates.

◆ block() [2/2]

const BlockType & BlockMatrixBase< SparseMatrixEZ< Number > >::block ( const unsigned int  row,
const unsigned int  column 
) const
inherited

Access the block with the given coordinates. Version for constant objects.

◆ m()

size_type BlockMatrixBase< SparseMatrixEZ< Number > >::m ( ) const
inherited

Return the dimension of the codomain (or range) space. Note that the matrix is of dimension \(m \times n\).

◆ n()

size_type BlockMatrixBase< SparseMatrixEZ< Number > >::n ( ) const
inherited

Return the dimension of the domain space. Note that the matrix is of dimension \(m \times n\).

◆ n_block_rows()

unsigned int BlockMatrixBase< SparseMatrixEZ< Number > >::n_block_rows ( ) const
inherited

Return the number of blocks in a column. Returns zero if no sparsity pattern is presently associated to this matrix.

◆ n_block_cols()

unsigned int BlockMatrixBase< SparseMatrixEZ< Number > >::n_block_cols ( ) const
inherited

Return the number of blocks in a row. Returns zero if no sparsity pattern is presently associated to this matrix.

◆ set() [1/5]

void BlockMatrixBase< SparseMatrixEZ< Number > >::set ( const size_type  i,
const size_type  j,
const value_type  value 
)
inherited

Set the element (i,j) to value. Throws an error if the entry does not exist or if value is not a finite number. Still, it is allowed to store zero values in non-existent fields.

◆ set() [2/5]

void BlockMatrixBase< SparseMatrixEZ< Number > >::set ( const std::vector< size_type > &  indices,
const FullMatrix< number > &  full_matrix,
const bool  elide_zero_values = false 
)
inherited

Set all elements given in a FullMatrix into the sparse matrix locations given by indices. In other words, this function writes the elements in full_matrix into the calling matrix, using the local-to-global indexing specified by indices for both the rows and the columns of the matrix. This function assumes a quadratic sparse matrix and a quadratic full_matrix, the usual situation in FE calculations.

The optional parameter elide_zero_values can be used to specify whether zero values should be set anyway or they should be filtered away (and not change the previous content in the respective element if it exists). The default value is false, i.e., even zero values are treated.

◆ set() [3/5]

void BlockMatrixBase< SparseMatrixEZ< Number > >::set ( const std::vector< size_type > &  row_indices,
const std::vector< size_type > &  col_indices,
const FullMatrix< number > &  full_matrix,
const bool  elide_zero_values = false 
)
inherited

Same function as before, but now including the possibility to use rectangular full_matrices and different local-to-global indexing on rows and columns, respectively.

◆ set() [4/5]

void BlockMatrixBase< SparseMatrixEZ< Number > >::set ( const size_type  row,
const std::vector< size_type > &  col_indices,
const std::vector< number > &  values,
const bool  elide_zero_values = false 
)
inherited

Set several elements in the specified row of the matrix with column indices as given by col_indices to the respective value.

The optional parameter elide_zero_values can be used to specify whether zero values should be set anyway or they should be filtered away (and not change the previous content in the respective element if it exists). The default value is false, i.e., even zero values are treated.

◆ set() [5/5]

void BlockMatrixBase< SparseMatrixEZ< Number > >::set ( const size_type  row,
const size_type  n_cols,
const size_type *  col_indices,
const number *  values,
const bool  elide_zero_values = false 
)
inherited

Set several elements to values given by values in a given row in columns given by col_indices into the sparse matrix.

The optional parameter elide_zero_values can be used to specify whether zero values should be inserted anyway or they should be filtered away. The default value is false, i.e., even zero values are inserted/replaced.

◆ add() [1/6]

void BlockMatrixBase< SparseMatrixEZ< Number > >::add ( const size_type  i,
const size_type  j,
const value_type  value 
)
inherited

Add value to the element (i,j). Throws an error if the entry does not exist or if value is not a finite number. Still, it is allowed to store zero values in non-existent fields.

◆ add() [2/6]

void BlockMatrixBase< SparseMatrixEZ< Number > >::add ( const std::vector< size_type > &  indices,
const FullMatrix< number > &  full_matrix,
const bool  elide_zero_values = true 
)
inherited

Add all elements given in a FullMatrix<double> into sparse matrix locations given by indices. In other words, this function adds the elements in full_matrix to the respective entries in calling matrix, using the local-to-global indexing specified by indices for both the rows and the columns of the matrix. This function assumes a quadratic sparse matrix and a quadratic full_matrix, the usual situation in FE calculations.

The optional parameter elide_zero_values can be used to specify whether zero values should be added anyway or these should be filtered away and only non-zero data is added. The default value is true, i.e., zero values won't be added into the matrix.

◆ add() [3/6]

void BlockMatrixBase< SparseMatrixEZ< Number > >::add ( const std::vector< size_type > &  row_indices,
const std::vector< size_type > &  col_indices,
const FullMatrix< number > &  full_matrix,
const bool  elide_zero_values = true 
)
inherited

Same function as before, but now including the possibility to use rectangular full_matrices and different local-to-global indexing on rows and columns, respectively.

◆ add() [4/6]

void BlockMatrixBase< SparseMatrixEZ< Number > >::add ( const size_type  row,
const std::vector< size_type > &  col_indices,
const std::vector< number > &  values,
const bool  elide_zero_values = true 
)
inherited

Set several elements in the specified row of the matrix with column indices as given by col_indices to the respective value.

The optional parameter elide_zero_values can be used to specify whether zero values should be added anyway or these should be filtered away and only non-zero data is added. The default value is true, i.e., zero values won't be added into the matrix.

◆ add() [5/6]

void BlockMatrixBase< SparseMatrixEZ< Number > >::add ( const size_type  row,
const size_type  n_cols,
const size_type *  col_indices,
const number *  values,
const bool  elide_zero_values = true,
const bool  col_indices_are_sorted = false 
)
inherited

Add an array of values given by values in the given global matrix row at columns specified by col_indices in the sparse matrix.

The optional parameter elide_zero_values can be used to specify whether zero values should be added anyway or these should be filtered away and only non-zero data is added. The default value is true, i.e., zero values won't be added into the matrix.

◆ add() [6/6]

void BlockMatrixBase< SparseMatrixEZ< Number > >::add ( const value_type  factor,
const BlockMatrixBase< SparseMatrixEZ< Number > > &  matrix 
)
inherited

Add matrix scaled by factor to this matrix, i.e. the matrix factor*matrix is added to this. If the sparsity pattern of the calling matrix does not contain all the elements in the sparsity pattern of the input matrix, this function will throw an exception.

Depending on MatrixType, however, additional restrictions might arise. Some sparse matrix formats require matrix to be based on the same sparsity pattern as the calling matrix.

◆ operator()()

value_type BlockMatrixBase< SparseMatrixEZ< Number > >::operator() ( const size_type  i,
const size_type  j 
) const
inherited

Return the value of the entry (i,j). This may be an expensive operation and you should always take care where to call this function. In order to avoid abuse, this function throws an exception if the wanted element does not exist in the matrix.

◆ el()

value_type BlockMatrixBase< SparseMatrixEZ< Number > >::el ( const size_type  i,
const size_type  j 
) const
inherited

This function is mostly like operator()() in that it returns the value of the matrix entry (i,j). The only difference is that if this entry does not exist in the sparsity pattern, then instead of raising an exception, zero is returned. While this may be convenient in some cases, note that it is simple to write algorithms that are slow compared to an optimal solution, since the sparsity of the matrix is not used.

◆ diag_element()

value_type BlockMatrixBase< SparseMatrixEZ< Number > >::diag_element ( const size_type  i) const
inherited

Return the main diagonal element in the ith row. This function throws an error if the matrix is not quadratic and also if the diagonal blocks of the matrix are not quadratic.

This function is considerably faster than the operator()(), since for quadratic matrices, the diagonal entry may be the first to be stored in each row and access therefore does not involve searching for the right column number.

◆ compress()

void BlockMatrixBase< SparseMatrixEZ< Number > >::compress ( VectorOperation::values  operation)
inherited

Call the compress() function on all the subblocks of the matrix.

See Compressing distributed objects for more information.

◆ operator*=()

BlockMatrixBase & BlockMatrixBase< SparseMatrixEZ< Number > >::operator*= ( const value_type  factor)
inherited

Multiply the entire matrix by a fixed factor.

◆ operator/=()

BlockMatrixBase & BlockMatrixBase< SparseMatrixEZ< Number > >::operator/= ( const value_type  factor)
inherited

Divide the entire matrix by a fixed factor.

◆ vmult_add()

void BlockMatrixBase< SparseMatrixEZ< Number > >::vmult_add ( BlockVectorType &  dst,
const BlockVectorType &  src 
) const
inherited

Adding Matrix-vector multiplication. Add \(M*src\) on \(dst\) with \(M\) being this matrix.

◆ Tvmult_add()

void BlockMatrixBase< SparseMatrixEZ< Number > >::Tvmult_add ( BlockVectorType &  dst,
const BlockVectorType &  src 
) const
inherited

Adding Matrix-vector multiplication. Add MTsrc to dst with M being this matrix. This function does the same as vmult_add() but takes the transposed matrix.

◆ matrix_norm_square()

value_type BlockMatrixBase< SparseMatrixEZ< Number > >::matrix_norm_square ( const BlockVectorType &  v) const
inherited

Return the norm of the vector v with respect to the norm induced by this matrix, i.e. vTMv). This is useful, e.g. in the finite element context, where the LT-norm of a function equals the matrix norm with respect to the mass matrix of the vector representing the nodal values of the finite element function. Note that even though the function's name might suggest something different, for historic reasons not the norm but its square is returned, as defined above by the scalar product.

Obviously, the matrix needs to be square for this operation.

◆ frobenius_norm()

real_type BlockMatrixBase< SparseMatrixEZ< Number > >::frobenius_norm ( ) const
inherited

Return the frobenius norm of the matrix, i.e. the square root of the sum of squares of all entries in the matrix.

◆ matrix_scalar_product()

value_type BlockMatrixBase< SparseMatrixEZ< Number > >::matrix_scalar_product ( const BlockVectorType &  u,
const BlockVectorType &  v 
) const
inherited

Compute the matrix scalar product \(\left(u,Mv\right)\).

◆ residual()

value_type BlockMatrixBase< SparseMatrixEZ< Number > >::residual ( BlockVectorType &  dst,
const BlockVectorType &  x,
const BlockVectorType &  b 
) const
inherited

Compute the residual r=b-Ax. Write the residual into dst.

◆ print()

void BlockMatrixBase< SparseMatrixEZ< Number > >::print ( std::ostream &  out,
const bool  alternative_output = false 
) const
inherited

Print the matrix to the given stream, using the format (line,col) value, i.e. one nonzero entry of the matrix per line. The optional flag outputs the sparsity pattern in a different style according to the underlying sparse matrix type.

◆ begin() [1/4]

iterator BlockMatrixBase< SparseMatrixEZ< Number > >::begin ( )
inherited

Iterator starting at the first entry.

◆ begin() [2/4]

iterator BlockMatrixBase< SparseMatrixEZ< Number > >::begin ( const size_type  r)
inherited

Iterator starting at the first entry of row r.

◆ begin() [3/4]

const_iterator BlockMatrixBase< SparseMatrixEZ< Number > >::begin ( ) const
inherited

Iterator starting at the first entry.

◆ begin() [4/4]

const_iterator BlockMatrixBase< SparseMatrixEZ< Number > >::begin ( const size_type  r) const
inherited

Iterator starting at the first entry of row r.

◆ end() [1/4]

iterator BlockMatrixBase< SparseMatrixEZ< Number > >::end ( )
inherited

Final iterator.

◆ end() [2/4]

iterator BlockMatrixBase< SparseMatrixEZ< Number > >::end ( const size_type  r)
inherited

Final iterator of row r.

◆ end() [3/4]

const_iterator BlockMatrixBase< SparseMatrixEZ< Number > >::end ( ) const
inherited

Final iterator.

◆ end() [4/4]

const_iterator BlockMatrixBase< SparseMatrixEZ< Number > >::end ( const size_type  r) const
inherited

Final iterator of row r.

◆ get_row_indices()

const BlockIndices & BlockMatrixBase< SparseMatrixEZ< Number > >::get_row_indices ( ) const
inherited

Return a reference to the underlying BlockIndices data of the rows.

◆ get_column_indices()

const BlockIndices & BlockMatrixBase< SparseMatrixEZ< Number > >::get_column_indices ( ) const
inherited

Return a reference to the underlying BlockIndices data of the columns.

◆ memory_consumption()

std::size_t BlockMatrixBase< SparseMatrixEZ< Number > >::memory_consumption ( ) const
inherited

Determine an estimate for the memory consumption (in bytes) of this object. Note that only the memory reserved on the current processor is returned in case this is called in an MPI-based program.

◆ ExcIncompatibleRowNumbers()

static ::ExceptionBase & BlockMatrixBase< SparseMatrixEZ< Number > >::ExcIncompatibleRowNumbers ( int  arg1,
int  arg2,
int  arg3,
int  arg4 
)
staticinherited

Exception

Note
The message that will be printed by this exception reads:
<< "The blocks [" << arg1 << ',' << arg2 << "] and [" << arg3 << ',' << arg4 << "] have differing row numbers."

◆ ExcIncompatibleColNumbers()

static ::ExceptionBase & BlockMatrixBase< SparseMatrixEZ< Number > >::ExcIncompatibleColNumbers ( int  arg1,
int  arg2,
int  arg3,
int  arg4 
)
staticinherited

Exception

Note
The message that will be printed by this exception reads:
<< "The blocks [" << arg1 << ',' << arg2 << "] and [" << arg3 << ',' << arg4 << "] have differing column numbers."

◆ vmult_block_block()

void BlockMatrixBase< SparseMatrixEZ< Number > >::vmult_block_block ( BlockVectorType &  dst,
const BlockVectorType &  src 
) const
protectedinherited

Matrix-vector multiplication: let \(dst = M*src\) with \(M\) being this matrix.

Due to problems with deriving template arguments between the block and non-block versions of the vmult/Tvmult functions, the actual functions are implemented in derived classes, with implementations forwarding the calls to the implementations provided here under a unique name for which template arguments can be derived by the compiler.

◆ vmult_block_nonblock()

void BlockMatrixBase< SparseMatrixEZ< Number > >::vmult_block_nonblock ( BlockVectorType &  dst,
const VectorType &  src 
) const
protectedinherited

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block column.

Due to problems with deriving template arguments between the block and non-block versions of the vmult/Tvmult functions, the actual functions are implemented in derived classes, with implementations forwarding the calls to the implementations provided here under a unique name for which template arguments can be derived by the compiler.

◆ vmult_nonblock_block()

void BlockMatrixBase< SparseMatrixEZ< Number > >::vmult_nonblock_block ( VectorType &  dst,
const BlockVectorType &  src 
) const
protectedinherited

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block row.

Due to problems with deriving template arguments between the block and non-block versions of the vmult/Tvmult functions, the actual functions are implemented in derived classes, with implementations forwarding the calls to the implementations provided here under a unique name for which template arguments can be derived by the compiler.

◆ vmult_nonblock_nonblock()

void BlockMatrixBase< SparseMatrixEZ< Number > >::vmult_nonblock_nonblock ( VectorType &  dst,
const VectorType &  src 
) const
protectedinherited

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block.

Due to problems with deriving template arguments between the block and non-block versions of the vmult/Tvmult functions, the actual functions are implemented in derived classes, with implementations forwarding the calls to the implementations provided here under a unique name for which template arguments can be derived by the compiler.

◆ Tvmult_block_block()

void BlockMatrixBase< SparseMatrixEZ< Number > >::Tvmult_block_block ( BlockVectorType &  dst,
const BlockVectorType &  src 
) const
protectedinherited

Matrix-vector multiplication: let \(dst = M^T*src\) with \(M\) being this matrix. This function does the same as vmult() but takes the transposed matrix.

Due to problems with deriving template arguments between the block and non-block versions of the vmult/Tvmult functions, the actual functions are implemented in derived classes, with implementations forwarding the calls to the implementations provided here under a unique name for which template arguments can be derived by the compiler.

◆ Tvmult_block_nonblock()

void BlockMatrixBase< SparseMatrixEZ< Number > >::Tvmult_block_nonblock ( BlockVectorType &  dst,
const VectorType &  src 
) const
protectedinherited

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block row.

Due to problems with deriving template arguments between the block and non-block versions of the vmult/Tvmult functions, the actual functions are implemented in derived classes, with implementations forwarding the calls to the implementations provided here under a unique name for which template arguments can be derived by the compiler.

◆ Tvmult_nonblock_block()

void BlockMatrixBase< SparseMatrixEZ< Number > >::Tvmult_nonblock_block ( VectorType &  dst,
const BlockVectorType &  src 
) const
protectedinherited

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block column.

Due to problems with deriving template arguments between the block and non-block versions of the vmult/Tvmult functions, the actual functions are implemented in derived classes, with implementations forwarding the calls to the implementations provided here under a unique name for which template arguments can be derived by the compiler.

◆ Tvmult_nonblock_nonblock()

void BlockMatrixBase< SparseMatrixEZ< Number > >::Tvmult_nonblock_nonblock ( VectorType &  dst,
const VectorType &  src 
) const
protectedinherited

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block.

Due to problems with deriving template arguments between the block and non-block versions of the vmult/Tvmult functions, the actual functions are implemented in derived classes, with implementations forwarding the calls to the implementations provided here under a unique name for which template arguments can be derived by the compiler.

◆ prepare_add_operation()

void BlockMatrixBase< SparseMatrixEZ< Number > >::prepare_add_operation ( )
protectedinherited

Some matrix types, in particular PETSc, need to synchronize set and add operations. This has to be done for all matrices in the BlockMatrix. This routine prepares adding of elements by notifying all blocks. Called by all internal routines before adding elements.

◆ prepare_set_operation()

void BlockMatrixBase< SparseMatrixEZ< Number > >::prepare_set_operation ( )
protectedinherited

Notifies all blocks to let them prepare for setting elements, see prepare_add_operation().

◆ n_subscriptions()

unsigned int EnableObserverPointer::n_subscriptions ( ) const
inlineinherited

Return the present number of subscriptions to this object. This allows to use this class for reference counted lifetime determination where the last one to unsubscribe also deletes the object.

Definition at line 318 of file enable_observer_pointer.h.

◆ list_subscribers() [1/2]

template<typename StreamType >
void EnableObserverPointer::list_subscribers ( StreamType &  stream) const
inlineinherited

List the subscribers to the input stream.

Definition at line 335 of file enable_observer_pointer.h.

◆ list_subscribers() [2/2]

void EnableObserverPointer::list_subscribers ( ) const
inherited

List the subscribers to deallog.

Definition at line 200 of file enable_observer_pointer.cc.

◆ serialize()

template<class Archive >
void EnableObserverPointer::serialize ( Archive &  ar,
const unsigned int  version 
)
inlineinherited

Read or write the data of this object to or from a stream for the purpose of serialization using the BOOST serialization library.

This function does not actually serialize any of the member variables of this class. The reason is that what this class stores is only who subscribes to this object, but who does so at the time of storing the contents of this object does not necessarily have anything to do with who subscribes to the object when it is restored. Consequently, we do not want to overwrite the subscribers at the time of restoring, and then there is no reason to write the subscribers out in the first place.

Definition at line 327 of file enable_observer_pointer.h.

◆ subscribe()

void EnableObserverPointer::subscribe ( std::atomic< bool > *const  validity,
const std::string &  identifier = "" 
) const
privateinherited

Subscribes a user of the object by storing the pointer validity. The subscriber may be identified by text supplied as identifier.

Definition at line 136 of file enable_observer_pointer.cc.

◆ unsubscribe()

void EnableObserverPointer::unsubscribe ( std::atomic< bool > *const  validity,
const std::string &  identifier = "" 
) const
privateinherited

Unsubscribes a user from the object.

Note
The identifier and the validity pointer must be the same as the one supplied to subscribe().

Definition at line 154 of file enable_observer_pointer.cc.

◆ check_no_subscribers()

void EnableObserverPointer::check_no_subscribers ( ) const
privatenoexceptinherited

Check that there are no objects subscribing to this object. If this check passes then it is safe to destroy the current object. It this check fails then this function will either abort or print an error message to deallog (by using the AssertNothrow mechanism), but will not throw an exception.

Note
Since this function is just a consistency check it does nothing in release mode.
If this function is called when there is an uncaught exception then, rather than aborting, this function prints an error message to the standard error stream and returns.

Definition at line 58 of file enable_observer_pointer.cc.

Member Data Documentation

◆ row_block_indices

BlockIndices BlockMatrixBase< SparseMatrixEZ< Number > >::row_block_indices
protectedinherited

Index arrays for rows and columns.

Definition at line 844 of file block_matrix_base.h.

◆ column_block_indices

BlockIndices BlockMatrixBase< SparseMatrixEZ< Number > >::column_block_indices
protectedinherited

Definition at line 845 of file block_matrix_base.h.

◆ sub_objects

Table<2, ObserverPointer<BlockType, BlockMatrixBase<SparseMatrixEZ< Number > > > > BlockMatrixBase< SparseMatrixEZ< Number > >::sub_objects
protectedinherited

Array of sub-matrices.

Definition at line 850 of file block_matrix_base.h.

◆ temporary_data

TemporaryData BlockMatrixBase< SparseMatrixEZ< Number > >::temporary_data
privateinherited

A set of scratch arrays that can be used by the add() and set() functions that take pointers to data to pre-sort indices before use. Access from multiple threads is synchronized via the mutex variable that is part of the structure.

Definition at line 1062 of file block_matrix_base.h.

◆ counter

std::atomic<unsigned int> EnableObserverPointer::counter
mutableprivateinherited

Store the number of objects which subscribed to this object. Initially, this number is zero, and upon destruction it shall be zero again (i.e. all objects which subscribed should have unsubscribed again).

The creator (and owner) of an object is counted in the map below if HE manages to supply identification.

We use the mutable keyword in order to allow subscription to constant objects also.

This counter may be read from and written to concurrently in multithreaded code: hence we use the std::atomic class template.

Definition at line 212 of file enable_observer_pointer.h.

◆ counter_map

std::map<std::string, unsigned int> EnableObserverPointer::counter_map
mutableprivateinherited

In this map, we count subscriptions for each different identification string supplied to subscribe().

Definition at line 218 of file enable_observer_pointer.h.

◆ validity_pointers

std::vector<std::atomic<bool> *> EnableObserverPointer::validity_pointers
mutableprivateinherited

In this vector, we store pointers to the validity bool in the ObserverPointer objects that subscribe to this class.

Definition at line 224 of file enable_observer_pointer.h.

◆ object_info

const std::type_info* EnableObserverPointer::object_info
mutableprivateinherited

Pointer to the typeinfo object of this object, from which we can later deduce the class name. Since this information on the derived class is neither available in the destructor, nor in the constructor, we obtain it in between and store it here.

Definition at line 232 of file enable_observer_pointer.h.

◆ mutex

std::mutex EnableObserverPointer::mutex
staticprivateinherited

A mutex used to ensure data consistency when accessing the mutable members of this class. This lock is used in the subscribe() and unsubscribe() functions, as well as in list_subscribers().

Definition at line 239 of file enable_observer_pointer.h.


The documentation for this class was generated from the following file: