A templated (N x N) square matrix of objects of <Type>, containing N*N elements, derived from Matrix. More...
Public Member Functions | |
SquareMatrix ()=default | |
Default construct. More... | |
SquareMatrix (const SquareMatrix &)=default | |
Copy construct. More... | |
SquareMatrix & | operator= (const SquareMatrix &)=default |
Copy assignment. More... | |
SquareMatrix (const label n) | |
Construct for given size (rows == cols) More... | |
SquareMatrix (const label n, const Foam::zero) | |
SquareMatrix (const label n, const Type &val) | |
template<class AnyType > | |
SquareMatrix (const label n, const Identity< AnyType >) | |
template<class AnyType > | |
SquareMatrix (const labelPair &dims, const Identity< AnyType >) | |
SquareMatrix (const labelPair &dims) | |
SquareMatrix (const labelPair &dims, const Foam::zero) | |
SquareMatrix (const labelPair &dims, const Type &val) | |
SquareMatrix (const label m, const label n, const Foam::zero) | |
template<class MatrixType > | |
SquareMatrix (const ConstMatrixBlock< MatrixType > &mat) | |
Construct from const sub-matrix block. More... | |
template<class MatrixType > | |
SquareMatrix (const MatrixBlock< MatrixType > &mat) | |
Construct from sub-matrix block. More... | |
SquareMatrix (const RectangularMatrix< Type > &mat) | |
SquareMatrix (Istream &is) | |
Construct from Istream. More... | |
autoPtr< SquareMatrix< Type > > | clone () const |
Clone. More... | |
void | resize (const label m) |
Resize the matrix preserving the elements. More... | |
void | resize (const label m, const label n) |
Resize the matrix preserving the elements (compatibility) More... | |
void | setSize (const label m) |
Resize the matrix preserving the elements. More... | |
void | shallowResize (const label m) |
Resize the matrix without reallocating storage (unsafe) More... | |
bool | symmetric () const |
Return true if the square matrix is effectively symmetric/Hermitian. More... | |
bool | tridiagonal () const |
Return true if the square matrix is reduced tridiagonal. More... | |
template<class CompOp > | |
List< label > | sortPermutation (CompOp &compare) const |
void | applyPermutation (const List< label > &p) |
void | operator= (const Foam::zero) |
Assign all elements to zero. More... | |
void | operator= (const Type &val) |
Assign all elements to value. More... | |
template<class AnyType > | |
void | operator= (const Identity< AnyType >) |
Set to identity matrix. More... | |
template<class CompOp > | |
Foam::List< Foam::label > | sortPermutation (CompOp &compare) const |
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Foam::tmp< Foam::Field< Type > > | AmulImpl (const ListType &x) const |
Foam::tmp< Foam::Field< Type > > | TmulImpl (const ListType &x) const |
Matrix () noexcept | |
Default construct (empty matrix) More... | |
Matrix (const label m, const label n) | |
Construct given number of rows/columns. More... | |
Matrix (const label m, const label n, const Foam::zero) | |
Matrix (const label m, const label n, const Type &val) | |
Matrix (const labelPair &dims) | |
Construct given number of rows/columns. More... | |
Matrix (const labelPair &dims, const Foam::zero) | |
Matrix (const labelPair &dims, const Type &val) | |
Matrix (const Matrix< SquareMatrix< Type >, Type > &mat) | |
Copy construct. More... | |
Matrix (Matrix< SquareMatrix< Type >, Type > &&mat) | |
Move construct. More... | |
Matrix (const Matrix< Form2, Type > &mat) | |
Copy constructor from Matrix of a different form. More... | |
Matrix (const ConstMatrixBlock< MatrixType > &Mb) | |
Construct from a block of another Matrix. More... | |
Matrix (const MatrixBlock< MatrixType > &Mb) | |
Construct from a block of another Matrix. More... | |
Matrix (Istream &is) | |
Construct from Istream. More... | |
autoPtr< mType > | clone () const |
Clone. More... | |
~Matrix () | |
Destructor. More... | |
label | m () const noexcept |
The number of rows. More... | |
label | n () const noexcept |
The number of columns. More... | |
label | size () const |
The number of elements in Matrix (m*n) More... | |
labelPair | sizes () const |
Return row/column sizes. More... | |
bool | empty () const noexcept |
Return true if Matrix is empty (i.e., size() is zero) More... | |
const Type * | cdata () const noexcept |
Type * | data () noexcept |
const char * | cdata_bytes () const noexcept |
char * | data_bytes () noexcept |
std::streamsize | size_bytes () const noexcept |
std::streamsize | byteSize () const |
const Type * | rowData (const label irow) const |
Return const pointer to data in the specified row. More... | |
Type * | rowData (const label irow) |
Return pointer to data in the specified row. More... | |
const Type & | at (const label idx) const |
Linear addressing const element access. More... | |
Type & | at (const label idx) |
Linear addressing element access. More... | |
ConstMatrixBlock< mType > | subColumn (const label colIndex, const label rowIndex=0, label len=-1) const |
Return const column or column's subset of Matrix. More... | |
MatrixBlock< mType > | subColumn (const label colIndex, const label rowIndex=0, label len=-1) |
Return column or column's subset of Matrix. More... | |
ConstMatrixBlock< mType > | subRow (const label rowIndex, const label colIndex=0, label len=-1) const |
Return const row or const row's subset of Matrix. More... | |
MatrixBlock< mType > | subRow (const label rowIndex, const label colIndex=0, label len=-1) |
Return row or row's subset of Matrix. More... | |
ConstMatrixBlock< mType > | subMatrix (const label rowIndex, const label colIndex, label szRows=-1, label szCols=-1) const |
Return const sub-block of Matrix. More... | |
MatrixBlock< mType > | subMatrix (const label rowIndex, const label colIndex, label szRows=-1, label szCols=-1) |
Return sub-block of Matrix. More... | |
ConstMatrixBlock< mType > | block (const label rowIndex, const label colIndex) const |
Access Field as a ConstMatrixBlock. More... | |
MatrixBlock< mType > | block (const label rowIndex, const label colIndex) |
Access Field as a MatrixBlock. More... | |
ConstMatrixBlock< mType > | block (const label m, const label n, const label mStart, const label nStart) const |
Deprecated(2019-04) - use subMatrix() More... | |
MatrixBlock< mType > | block (const label m, const label n, const label mStart, const label nStart) |
Deprecated(2019-04) - use subMatrix() More... | |
Foam::ConstMatrixBlock< Foam::Matrix< SquareMatrix< Type >, Type > > | block (const label rowIndex, const label colIndex) const |
Foam::MatrixBlock< Foam::Matrix< SquareMatrix< Type >, Type > > | block (const label rowIndex, const label colIndex) |
void | checki (const label irow) const |
Check index i is within valid range [0, m) More... | |
void | checkj (const label jcol) const |
Check index j is within valid range [0, n) More... | |
void | checkSize () const |
Check that dimensions are positive, non-zero. More... | |
bool | uniform () const |
True if all entries have identical values, and Matrix is non-empty. More... | |
void | clear () |
Clear Matrix, i.e. set sizes to zero. More... | |
List< Type > | release () |
void | swap (Matrix< SquareMatrix< Type >, Type > &mat) |
Swap contents. More... | |
void | transfer (Matrix< SquareMatrix< Type >, Type > &mat) |
void | resize (const label m, const label n) |
Change Matrix dimensions, preserving the elements. More... | |
void | resize_nocopy (const label mrow, const label ncol) |
Change Matrix dimensions without preserving existing content. More... | |
void | setSize (const label m, const label n) |
Change Matrix dimensions, preserving the elements. More... | |
void | shallowResize (const label m, const label n) |
Resize Matrix without reallocating storage (unsafe) More... | |
void | round (const scalar tol=SMALL) |
Round elements with magnitude smaller than tol (SMALL) to zero. More... | |
SquareMatrix< Type > | T () const |
Return (conjugate) transpose of Matrix. More... | |
tmp< Field< Type > > | Amul (const UList< Type > &x) const |
Right-multiply Matrix by a column vector (A * x) More... | |
tmp< Field< Type > > | Amul (const IndirectListBase< Type, Addr > &x) const |
Right-multiply Matrix by a column vector (A * x) More... | |
Foam::tmp< Foam::Field< Type > > | Amul (const IndirectListBase< Type, Addr > &x) const |
tmp< Field< Type > > | Tmul (const UList< Type > &x) const |
Left-multiply Matrix by a row vector (x * A) More... | |
tmp< Field< Type > > | Tmul (const IndirectListBase< Type, Addr > &x) const |
Left-multiply Matrix by a row vector (x * A) More... | |
Foam::tmp< Foam::Field< Type > > | Tmul (const IndirectListBase< Type, Addr > &x) const |
List< Type > | diag () const |
Extract the diagonal elements. Method may change in the future. More... | |
void | diag (const UList< Type > &list) |
Assign diagonal of Matrix. More... | |
Type | trace () const |
Return the trace. More... | |
scalar | columnNorm (const label colIndex, const bool noSqrt=false) const |
Return L2-Norm of chosen column. More... | |
scalar | norm (const bool noSqrt=false) const |
Return Frobenius norm of Matrix. More... | |
const Type * | operator[] (const label irow) const |
Return const pointer to data in the specified row - rowData(). More... | |
Type * | operator[] (const label irow) |
Return pointer to data in the specified row - rowData(). More... | |
const Type & | operator() (const label irow, const label jcol) const |
(i, j) const element access operator More... | |
Type & | operator() (const label irow, const label jcol) |
(i, j) element access operator More... | |
void | operator= (const Matrix< SquareMatrix< Type >, Type > &mat) |
Copy assignment. Takes linear time. More... | |
void | operator= (Matrix< SquareMatrix< Type >, Type > &&mat) |
Move assignment. More... | |
void | operator= (const ConstMatrixBlock< MatrixType > &Mb) |
Assignment to a block of another Matrix. More... | |
void | operator= (const MatrixBlock< MatrixType > &Mb) |
Assignment to a block of another Matrix. More... | |
void | operator= (const Foam::zero) |
Assignment of all elements to zero. More... | |
void | operator= (const Type &val) |
Assignment of all elements to the given value. More... | |
void | operator+= (const Matrix< SquareMatrix< Type >, Type > &other) |
Matrix addition. More... | |
void | operator+= (const Type &s) |
Matrix scalar addition. More... | |
void | operator-= (const Matrix< SquareMatrix< Type >, Type > &other) |
Matrix subtraction. More... | |
void | operator-= (const Type &s) |
Matrix scalar subtraction. More... | |
void | operator*= (const Type &s) |
Matrix scalar multiplication. More... | |
void | operator/= (const Type &s) |
Matrix scalar division. More... | |
iterator | begin () noexcept |
Return an iterator to begin traversing a Matrix. More... | |
const_iterator | begin () const noexcept |
Return const_iterator to begin traversing a constant Matrix. More... | |
iterator | end () noexcept |
Return an iterator to end traversing a Matrix. More... | |
const_iterator | end () const noexcept |
Return const_iterator to end traversing a constant Matrix. More... | |
const_iterator | cbegin () const noexcept |
Return const_iterator to begin traversing a constant Matrix. More... | |
const_iterator | cend () const noexcept |
Return const_iterator to end traversing a constant Matrix. More... | |
bool | readMatrix (Istream &is) |
Read Matrix from Istream, discarding existing contents. More... | |
Ostream & | writeMatrix (Ostream &os, const label shortLen=0) const |
label | mRows () const noexcept |
The number of rows - same as m() More... | |
label | nRows () const noexcept |
The number of rows - same as m() More... | |
label | nCols () const noexcept |
The number of columns - same as n() More... | |
const Type * | v () const |
Deprecated(2019-04) raw data pointer, const access. More... | |
Type * | v () |
Deprecated(2019-04) raw data pointer, non-const access. More... | |
ConstMatrixBlock< mType > | col (const label m, const label mStart, const label nStart) const |
Deprecated(2019-04) - use subColumn() More... | |
MatrixBlock< mType > | col (const label m, const label mStart, const label nStart) |
Deprecated(2019-04) - use subColumn() More... | |
void | col (const label m, const label rowStart) const=delete |
Deleted(2019-04) - use subColumn() More... | |
void | col (const label m, const label rowStart)=delete |
Deleted(2019-04) - use subColumn() More... | |
Additional Inherited Members | |
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typedef Matrix< SquareMatrix< Type >, Type > | mType |
Matrix type. More... | |
typedef Type | cmptType |
Component type. More... | |
typedef Type * | iterator |
Random access iterator for traversing a Matrix. More... | |
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static const Matrix< SquareMatrix< Type >, Type > & | null () |
Return a null Matrix. More... | |
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const typedef Type * | const_iterator |
Random access iterator for traversing a Matrix. More... | |
A templated (N x N) square matrix of objects of <Type>, containing N*N elements, derived from Matrix.
Definition at line 63 of file SquareMatrix.H.
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default |
Default construct.
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default |
Copy construct.
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inlineexplicit |
Construct for given size (rows == cols)
Definition at line 41 of file SquareMatrixI.H.
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inline |
Construct for given size (rows == cols) initializing all elements to zero
Definition at line 49 of file SquareMatrixI.H.
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inline |
Construct for given size (rows == cols) initializing all elements to the given value
Definition at line 60 of file SquareMatrixI.H.
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inline |
Construct for given size (rows == cols) initializing to the identity matrix
Definition at line 72 of file SquareMatrixI.H.
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inline |
Construct for given size (rows == cols) by using a labelPair initializing to the identity matrix
Definition at line 89 of file SquareMatrixI.H.
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inlineexplicit |
Construct given number of rows/columns by using a labelPair (checked to be equal)
For constructor consistency in rectangular matrices
Definition at line 107 of file SquareMatrixI.H.
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inline |
Construct given number of rows/columns by using a labelPair (checked to be equal) and initializing all elements to zero
For constructor consistency with rectangular matrices
Definition at line 119 of file SquareMatrixI.H.
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inline |
Construct given number of rows/columns by using a labelPair (checked to be equal) and initializing all elements to the given value
For constructor consistency with rectangular matrices
Definition at line 132 of file SquareMatrixI.H.
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inline |
Construct given number of rows/columns (checked to be equal) initializing all elements to zero
Definition at line 145 of file SquareMatrixI.H.
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inline |
Construct from const sub-matrix block.
Definition at line 160 of file SquareMatrixI.H.
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inline |
Construct from sub-matrix block.
Definition at line 173 of file SquareMatrixI.H.
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inlineexplicit |
Construct as copy of a RectangularMatrix which is checked to be square
Definition at line 185 of file SquareMatrixI.H.
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inlineexplicit |
Construct from Istream.
Definition at line 196 of file SquareMatrixI.H.
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default |
Copy assignment.
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inline |
Clone.
Definition at line 206 of file SquareMatrixI.H.
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inline |
Resize the matrix preserving the elements.
Definition at line 215 of file SquareMatrixI.H.
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inline |
Resize the matrix preserving the elements (compatibility)
Definition at line 222 of file SquareMatrixI.H.
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inline |
Resize the matrix preserving the elements.
Definition at line 235 of file SquareMatrixI.H.
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inline |
Resize the matrix without reallocating storage (unsafe)
Definition at line 242 of file SquareMatrixI.H.
Referenced by ODESolver::resizeMatrix().
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inline |
Return true if the square matrix is effectively symmetric/Hermitian.
Definition at line 249 of file SquareMatrixI.H.
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inline |
Return true if the square matrix is reduced tridiagonal.
Definition at line 266 of file SquareMatrixI.H.
List<label> sortPermutation | ( | CompOp & | compare | ) | const |
Return a sort permutation labelList according to a given comparison on the diagonal entries
void applyPermutation | ( | const List< label > & | p | ) |
Column-reorder this Matrix according to a given permutation labelList
Definition at line 56 of file SquareMatrix.C.
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inline |
Assign all elements to zero.
Definition at line 294 of file SquareMatrixI.H.
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inline |
Assign all elements to value.
Definition at line 301 of file SquareMatrixI.H.
void operator= | ( | const Identity< AnyType > | ) |
Set to identity matrix.
Definition at line 86 of file SquareMatrix.C.
Foam::List<Foam::label> sortPermutation | ( | CompOp & | compare | ) | const |
Definition at line 38 of file SquareMatrix.C.