A class for compressed row matrices. More...
#include <complex_matrices.h>
Public Member Functions | |
CRComplexMatrix () | |
Default constructor. More... | |
CRComplexMatrix (const Vector< std::complex< double > > &value, const Vector< int > &column_index, const Vector< int > &row_start, const unsigned long &n, const unsigned long &m) | |
Constructor: Pass vector of values, vector of column indices, vector of row starts and number of columns (can be suppressed for square matrices) More... | |
CRComplexMatrix (const CRComplexMatrix &matrix) | |
Broken copy constructor. More... | |
void | operator= (const CRComplexMatrix &) |
Broken assignment operator. More... | |
virtual | ~CRComplexMatrix () |
Destructor: Kill the LU decomposition if it has been computed. More... | |
void | enable_doc_stats () |
Set flag to indicate that stats are to be displayed during solution of linear system with SuperLU. More... | |
void | disable_doc_stats () |
the solve More... | |
unsigned long | nrow () const |
Return the number of rows of the matrix. More... | |
unsigned long | ncol () const |
Return the number of columns of the matrix. More... | |
std::complex< double > | operator() (const unsigned long &i, const unsigned long &j) const |
Overload the round-bracket access operator for read-only access. More... | |
int | ludecompose () |
LU decomposition using SuperLU. More... | |
void | lubksub (Vector< std::complex< double > > &rhs) |
LU back solve for given RHS. More... | |
void | clean_up_memory () |
LU clean up (perhaps this should happen in the destructor) More... | |
void | residual (const Vector< std::complex< double > > &x, const Vector< std::complex< double > > &b, Vector< std::complex< double > > &residual) |
Find the residual to x of Ax=b, i.e. r=b-Ax. More... | |
void | multiply (const Vector< std::complex< double > > &x, Vector< std::complex< double > > &soln) |
Multiply the matrix by the vector x: soln=Ax. More... | |
void | multiply_transpose (const Vector< std::complex< double > > &x, Vector< std::complex< double > > &soln) |
Multiply the transposed matrix by the vector x: soln=A^T x. More... | |
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CRMatrix () | |
Default constructor. More... | |
CRMatrix (const Vector< std::complex< double > > &value, const Vector< int > &column_index_, const Vector< int > &row_start_, const unsigned long &n, const unsigned long &m) | |
Constructor: Pass vector of values, vector of column indices, vector of row starts and number of rows and columns Number of nonzero entries is read off from value, so make sure the vector has been shrunk to its correct length. More... | |
CRMatrix (const CRMatrix &source_matrix) | |
Copy constructor. More... | |
void | operator= (const CRMatrix &) |
Broken assignment operator. More... | |
virtual | ~CRMatrix () |
Destructor, delete any allocated memory. More... | |
std::complex< double > | get_entry (const unsigned long &i, const unsigned long &j) const |
Access function that will be called by the read-only round-bracket operator (const) More... | |
std::complex< double > & | entry (const unsigned long &i, const unsigned long &j) |
The read-write access function is deliberately broken. More... | |
int * | row_start () |
Access to C-style row_start array. More... | |
const int * | row_start () const |
Access to C-style row_start array (const version) More... | |
int * | column_index () |
Access to C-style column index array. More... | |
const int * | column_index () const |
Access to C-style column index array (const version) More... | |
void | output_bottom_right_zero_helper (std::ostream &outfile) const |
Output the "bottom right" entry regardless of it being zero or not (this allows automatic detection of matrix size in e.g. matlab, python). More... | |
void | sparse_indexed_output_helper (std::ostream &outfile) const |
Indexed output function to print a matrix to the stream outfile as i,j,a(i,j) for a(i,j)!=0 only. More... | |
void | clean_up_memory () |
Wipe matrix data and set all values to 0. More... | |
void | build (const Vector< std::complex< double > > &value, const Vector< int > &column_index, const Vector< int > &row_start, const unsigned long &n, const unsigned long &m) |
Build matrix from compressed representation. Number of nonzero entries is read off from value, so make sure the vector has been shrunk to its correct length. This matrix forms the storage for CRDoubleMatrices which are distributable. The argument n should be the number of local rows. The argument m is the number of columns. More... | |
void | build_without_copy (std::complex< double > *value, int *column_index, int *row_start, const unsigned long &nnz, const unsigned long &n, const unsigned long &m) |
Function to build matrix from pointers to arrays which hold the row starts, column indices and non-zero values. The final two arguments are the number of rows and columns. Note that, as the name suggests, this function does not make a copy of the data pointed to by the first three arguments! More... | |
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SparseMatrix () | |
Default constructor. More... | |
SparseMatrix (const SparseMatrix &source_matrix) | |
Copy constructor. More... | |
void | operator= (const SparseMatrix &) |
Broken assignment operator. More... | |
virtual | ~SparseMatrix () |
Destructor, delete the memory associated with the values. More... | |
std::complex< double > * | value () |
Access to C-style value array. More... | |
const std::complex< double > * | value () const |
Access to C-style value array (const version) More... | |
unsigned long | nrow () const |
Return the number of rows of the matrix. More... | |
unsigned long | ncol () const |
Return the number of columns of the matrix. More... | |
unsigned long | nnz () const |
Return the number of nonzero entries. More... | |
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Matrix () | |
(Empty) constructor More... | |
Matrix (const Matrix &matrix) | |
Broken copy constructor. More... | |
void | operator= (const Matrix &) |
Broken assignment operator. More... | |
virtual | ~Matrix () |
Virtual (empty) destructor. More... | |
std::complex< double > | operator() (const unsigned long &i, const unsigned long &j) const |
Round brackets to give access as a(i,j) for read only (we're not providing a general interface for component-wise write access since not all matrix formats allow efficient direct access!) The function uses the MATRIX_TYPE template parameter to call the get_entry() function which must be defined in all derived classes that are to be fully instantiated. More... | |
std::complex< double > & | operator() (const unsigned long &i, const unsigned long &j) |
Round brackets to give access as a(i,j) for read-write access. The function uses the MATRIX_TYPE template parameter to call the entry() function which must be defined in all derived classes that are to be fully instantiated. If the particular Matrix does not allow write access, the function should break with an error message. More... | |
virtual void | output (std::ostream &outfile) const |
Output function to print a matrix row-by-row, in the form a(0,0) a(0,1) ... a(1,0) a(1,1) ... ... to the stream outfile. Broken virtual since it might not be sensible to implement this for some sparse matrices. More... | |
void | sparse_indexed_output (std::ostream &outfile, const unsigned &precision=0, const bool &output_bottom_right_zero=false) const |
Indexed output function to print a matrix to the stream outfile as i,j,a(i,j) for a(i,j)!=0 only with specified precision (if precision=0 then nothing is changed). If optional boolean flag is set to true we also output the "bottom right" entry regardless of it being zero or not (this allows automatic detection of matrix size in e.g. matlab, python). More... | |
void | sparse_indexed_output (std::string filename, const unsigned &precision=0, const bool &output_bottom_right_zero=false) const |
Indexed output function to print a matrix to the file named filename as i,j,a(i,j) for a(i,j)!=0 only with specified precision. If optional boolean flag is set to true we also output the "bottom right" entry regardless of it being zero or not (this allows automatic detection of matrix size in e.g. matlab, python). More... | |
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ComplexMatrixBase () | |
(Empty) constructor. More... | |
ComplexMatrixBase (const ComplexMatrixBase &matrix) | |
Broken copy constructor. More... | |
void | operator= (const ComplexMatrixBase &) |
Broken assignment operator. More... | |
virtual | ~ComplexMatrixBase () |
virtual (empty) destructor More... | |
virtual void | solve (Vector< std::complex< double > > &rhs) |
Complete LU solve (replaces matrix by its LU decomposition and overwrites RHS with solution). The default should not need to be over-written. More... | |
virtual void | solve (const Vector< std::complex< double > > &rhs, Vector< std::complex< double > > &soln) |
Complete LU solve (Nothing gets overwritten!). The default should not need to be overwritten. More... | |
virtual double | max_residual (const Vector< std::complex< double > > &x, const Vector< std::complex< double > > &rhs) |
Find the maximum residual r=b-Ax – generic version, can be overloaded for specific derived classes where the max. can be determined "on the fly". More... | |
Protected Attributes | |
bool | Doc_stats_during_solve |
Flag to indicate if stats are to be displayed during solution of linear system with SuperLU. More... | |
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int * | Column_index |
Column index. More... | |
int * | Row_start |
Start index for row. More... | |
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std::complex< double > * | Value |
Internal representation of the matrix values, a pointer. More... | |
unsigned long | N |
Number of rows. More... | |
unsigned long | M |
Number of columns. More... | |
unsigned long | Nnz |
Number of non-zero values (i.e. size of Value array) More... | |
Private Attributes | |
void * | F_factors |
Storage for the LU factors as required by SuperLU. More... | |
int | Info |
Info flag for the SuperLU solver. More... | |
Additional Inherited Members | |
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void | range_check (const unsigned long &i, const unsigned long &j) const |
Range check to catch when an index is out of bounds, if so, it issues a warning message and dies by throwing an OomphLibError . More... | |
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static std::complex< double > | Zero |
Dummy zero. More... | |
A class for compressed row matrices.
Definition at line 343 of file complex_matrices.h.
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Default constructor.
Definition at line 357 of file complex_matrices.h.
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inline |
Constructor: Pass vector of values, vector of column indices, vector of row starts and number of columns (can be suppressed for square matrices)
Definition at line 366 of file complex_matrices.h.
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Broken copy constructor.
Definition at line 380 of file complex_matrices.h.
References oomph::BrokenCopy::broken_copy().
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Destructor: Kill the LU decomposition if it has been computed.
Definition at line 393 of file complex_matrices.h.
void oomph::CRComplexMatrix::clean_up_memory | ( | ) |
LU clean up (perhaps this should happen in the destructor)
Cleanup memory.
Definition at line 1200 of file complex_matrices.cc.
References oomph::LeakCheckNames::doc(), i, oomph::QuadTreeNames::N, and oomph::superlu_complex().
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the solve
Definition at line 401 of file complex_matrices.h.
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Set flag to indicate that stats are to be displayed during solution of linear system with SuperLU.
Definition at line 397 of file complex_matrices.h.
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LU back solve for given RHS.
Do back-substitution.
RHS vector
Reimplemented from oomph::ComplexMatrixBase.
Definition at line 1130 of file complex_matrices.cc.
References oomph::LeakCheckNames::doc(), i, oomph::QuadTreeNames::N, and oomph::superlu_complex().
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LU decomposition using SuperLU.
Do LU decomposition and return sign of determinant.
Reimplemented from oomph::ComplexMatrixBase.
Definition at line 1084 of file complex_matrices.cc.
References oomph::LeakCheckNames::doc(), i, oomph::QuadTreeNames::N, and oomph::superlu_complex().
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Multiply the matrix by the vector x: soln=Ax.
Multiply the matrix by the vector x.
Implements oomph::ComplexMatrixBase.
Definition at line 1284 of file complex_matrices.cc.
References i, and oomph::QuadTreeNames::N.
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Multiply the transposed matrix by the vector x: soln=A^T x.
Implements oomph::ComplexMatrixBase.
Definition at line 1327 of file complex_matrices.cc.
References i, and oomph::QuadTreeNames::N.
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Return the number of columns of the matrix.
Implements oomph::ComplexMatrixBase.
Definition at line 408 of file complex_matrices.h.
References oomph::ComplexMatrixBase::ncol().
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Return the number of rows of the matrix.
Implements oomph::ComplexMatrixBase.
Definition at line 404 of file complex_matrices.h.
References oomph::ComplexMatrixBase::nrow().
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Overload the round-bracket access operator for read-only access.
Implements oomph::ComplexMatrixBase.
Definition at line 412 of file complex_matrices.h.
References oomph::ComplexMatrixBase::lubksub(), oomph::ComplexMatrixBase::ludecompose(), oomph::ComplexMatrixBase::multiply(), oomph::ComplexMatrixBase::multiply_transpose(), and oomph::ComplexMatrixBase::residual().
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Broken assignment operator.
Definition at line 387 of file complex_matrices.h.
References oomph::BrokenCopy::broken_assign().
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Find the residual to x of Ax=b, i.e. r=b-Ax.
Find the residulal to x of Ax=b, ie r=b-Ax.
Implements oomph::ComplexMatrixBase.
Definition at line 1231 of file complex_matrices.cc.
References i, oomph::QuadTreeNames::N, and oomph::ComplexMatrixBase::residual().
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Flag to indicate if stats are to be displayed during solution of linear system with SuperLU.
Definition at line 443 of file complex_matrices.h.
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private |
Storage for the LU factors as required by SuperLU.
Definition at line 349 of file complex_matrices.h.
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private |
Info flag for the SuperLU solver.
Definition at line 352 of file complex_matrices.h.