Inheritance diagram for INMOST::MatrixMul< variable, INMOST_DATA_REAL_TYPE, Promote< variable, INMOST_DATA_REAL_TYPE >::type >:

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Collaboration diagram for INMOST::MatrixMul< variable, INMOST_DATA_REAL_TYPE, Promote< variable, INMOST_DATA_REAL_TYPE >::type >:

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Public Types
typedef AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type >::enumerator	enumerator

Public Types inherited from INMOST::AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type >
typedef AbstractMatrixReadOnly< Promote< variable, INMOST_DATA_REAL_TYPE >::type >::enumerator	enumerator

Public Types inherited from INMOST::AbstractMatrixReadOnly< Var >
typedef unsigned	enumerator

Public Member Functions
void	Resize (enumerator rows, enumerator cols)
	This is a stub function to fulfill abstract inheritance. More...

__INLINE enumerator	Rows () const
	Number of rows. More...

__INLINE enumerator	Cols () const
	Number of columns. More...

	MatrixMul (const AbstractMatrixReadOnly< variable > &rA, const AbstractMatrixReadOnly< INMOST_DATA_REAL_TYPE > &rB)

	MatrixMul (const MatrixMul &b)

__INLINE variable	compute (enumerator i, enumerator j) const
	Access element of the matrix by row and column indices without right to change the element. More...

__INLINE variable &	operator() (enumerator i, enumerator j)
	Access element of the matrix by row and column indices. More...

__INLINE const variable &	get (enumerator i, enumerator j) const
	Access element of the matrix by row and column indices. More...

__INLINE INMOST_DATA_ENUM_TYPE	GetMatrixCount () const
	Retrieve number of indices of derivatives.

Public Member Functions inherited from INMOST::AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type >
	AbstractMatrix ()
	Construct empty matrix.

AbstractMatrix &	operator= (AbstractMatrix const &other)
	Assign matrix of the same type. More...

AbstractMatrix &	operator= (AbstractMatrixReadOnly< typeB > const &other)
	Assign matrix of another type. More...

AbstractMatrix &	operator= (Promote< variable, INMOST_DATA_REAL_TYPE >::type const &b)
	Assign value to all entries of the matrix. More...

SubMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type >	operator() (enumerator first_row, enumerator last_row, enumerator first_col, enumerator last_col)
	Extract submatrix of a matrix for in-place manipulation of elements. More...

void	Zero ()
	Set all the elements of the matrix to zero.

virtual void	Swap (AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type > &b)
	Exchange contents of two matrices.

AbstractMatrix &	operator-= (const AbstractMatrixReadOnly< typeB > &other)
	Subtract a matrix and store result in the current. More...

AbstractMatrix &	operator-= (const AbstractMatrix< typeB > &other)
	Subtract a matrix and store result in the current. More...

AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type > &	operator-= (const AbstractMatrix< typeB > &other)

AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type > &	operator-= (const AbstractMatrixReadOnly< typeB > &other)

AbstractMatrix &	operator+= (const AbstractMatrixReadOnly< typeB > &other)
	Add a matrix and store result in the current. More...

AbstractMatrix &	operator+= (const AbstractMatrix< typeB > &other)
	Add a matrix and store result in the current. More...

AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type > &	operator+= (const AbstractMatrix< typeB > &other)

AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type > &	operator+= (const AbstractMatrixReadOnly< typeB > &other)

AbstractMatrix &	operator*= (const AbstractMatrixReadOnly< typeB > &B)
	Multiply matrix with another matrix in-place. More...

AbstractMatrix &	operator*= (typeB coef)
	Multiply the matrix by the coefficient of the same type and store the result. More...

AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type > &	*operator=** (const AbstractMatrixReadOnly< typeB > &B)

AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type > &	*operator=** (typeB coef)

AbstractMatrix &	operator/= (typeB coef)
	Divide the matrix by the coefficient of the same type and store the result. More...

AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type > &	operator/= (typeB coef)

BlockOfMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type >	BlockOf (enumerator nrows, enumerator ncols, enumerator offset_row, enumerator offset_col)
	Define matrix as a part of a matrix of larger size with in-place manipulation of elements. More...

MatrixTranspose< Promote< variable, INMOST_DATA_REAL_TYPE >::type >	Transpose ()
	Transpose the current matrix with access to elements. More...

MatrixRepack< Promote< variable, INMOST_DATA_REAL_TYPE >::type >	Repack (enumerator rows, enumerator cols)
	Change representation of the matrix into matrix of another size. More...

MatrixConcatCols< Promote< variable, INMOST_DATA_REAL_TYPE >::type >	ConcatCols (AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type > &B)
	Concatenate B matrix as columns of current matrix. More...

MatrixConcatRows< Promote< variable, INMOST_DATA_REAL_TYPE >::type >	ConcatRows (AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type > &B)
	Concatenate B matrix as rows of current matrix. More...

bool	CheckNans () const
	Check all matrix entries for not a number. More...

bool	CheckInfs () const
	Check all matrix entries for infinity. More...

bool	CheckNansInfs () const
	Check all matrix entries for not a number and infinity. More...

Matrix< typename Promote< Promote< variable, INMOST_DATA_REAL_TYPE >::type, typeB >::type >	Transform (const AbstractMatrix< typeB > &other) const
	Transformation matrix from current vector to provided vector using shortest arc rotation. More...

Matrix< typename Promote< Promote< variable, INMOST_DATA_REAL_TYPE >::type, typeB >::type >	Transform (const AbstractMatrixReadOnly< typeB > &other) const
	Transformation matrix from current vector to provided vector using shortest arc rotation. More...

Matrix< typename Promote< Promote< variable, INMOST_DATA_REAL_TYPE >::type, typeB >::type >	CrossProduct (const AbstractMatrix< typeB > &other) const
	Cross-product operation for a vector. More...

Matrix< typename Promote< Promote< variable, INMOST_DATA_REAL_TYPE >::type, typeB >::type >	CrossProduct (const AbstractMatrixReadOnly< typeB > &other) const
	Cross-product operation for a vector. More...

Promote< Promote< variable, INMOST_DATA_REAL_TYPE >::type, typeB >::type	DotProduct (const AbstractMatrix< typeB > &other) const
	Computes dot product by summing up multiplication of entries with the same indices in the current and the provided matrix. More...

Promote< Promote< variable, INMOST_DATA_REAL_TYPE >::type, typeB >::type	DotProduct (const AbstractMatrixReadOnly< typeB > &other) const
	Computes dot product by summing up multiplication of entries with the same indices in the current and the provided matrix. More...

Promote< Promote< variable, INMOST_DATA_REAL_TYPE >::type, typeB >::type	operator^ (const AbstractMatrix< typeB > &other) const
	Computes dot product by summing up multiplication of entries with the same indices in the current and the provided matrix. More...

Promote< Promote< variable, INMOST_DATA_REAL_TYPE >::type, typeB >::type	operator^ (const AbstractMatrixReadOnly< typeB > &other) const
	Computes dot product by summing up multiplication of entries with the same indices in the current and the provided matrix. More...

SelfPromote< Promote< variable, INMOST_DATA_REAL_TYPE >::type >::type	FrobeniusNorm () const
	Computes frobenious norm of the matrix. More...

Promote< variable, INMOST_DATA_REAL_TYPE >::type	MaxNorm () const
	Computes maximum absolute value of the matrix. More...

Promote< variable, INMOST_DATA_REAL_TYPE >::type	Trace () const
	Calculate sum of the diagonal elements of the matrix. More...

void	Print (INMOST_DATA_REAL_TYPE threshold=1.0e-10, std::ostream &sout=std::cout) const
	Output matrix to screen. More...

bool	isSymmetric (double eps=1.0e-7) const
	Check if the matrix is symmetric. More...

void	MPT (INMOST_DATA_ENUM_TYPE Perm, INMOST_DATA_REAL_TYPE SL=NULL, INMOST_DATA_REAL_TYPE *SR=NULL) const
	Maximum product transversal. More...

__INLINE INMOST_DATA_ENUM_TYPE	GetMatrixCount () const
	Retrieve number of indices of derivatives.

virtual	~AbstractMatrix ()
	Destructor.

Public Member Functions inherited from INMOST::AbstractMatrixReadOnly< Var >
bool	CheckNans () const
	Check all matrix entries for not a number. More...

bool	CheckInfs () const
	Check all matrix entries for infinity. More...

bool	CheckNansInfs () const
	Check all matrix entries for not a number and infinity. More...

Var	Det () const
	Matrix determinant.

bool	SVD (AbstractMatrix< Var > &U, AbstractMatrix< Var > &Sigma, AbstractMatrix< Var > &V, bool order_singular_values=true, bool nonnegative=true) const
	Singular value decomposition. More...

bool	cSVD (AbstractMatrix< Var > &U, AbstractMatrix< Var > &Sigma, AbstractMatrix< Var > &V) const
	Singular value decomposition. More...

ConstMatrixTranspose< Var >	Transpose () const
	Transpose current matrix. More...

ConstMatrixConjugateTranspose< Var >	ConjugateTranspose () const
	Transpose and conjugate current matrix. More...

ConstMatrixConjugate< Var >	Conjugate () const
	Conjugate current matrix. More...

template<typename typeB >
Matrix< typename Promote< Var, typeB >::type >	CrossProduct (const AbstractMatrixReadOnly< typeB > &other) const
	Cross-product operation for a vector. More...

template<typename typeB >
Matrix< typename Promote< Var, typeB >::type >	Transform (const AbstractMatrixReadOnly< typeB > &other) const
	Transformation matrix from current vector to provided vector using shortest arc rotation. More...

template<typename typeB >
MatrixDifference< Var, typeB >	operator- (const AbstractMatrixReadOnly< typeB > &other) const
	Subtract a matrix. More...

template<typename typeB >
MatrixSum< Var, typeB >	operator+ (const AbstractMatrixReadOnly< typeB > &other) const
	Add a matrix. More...

template<typename typeB >
MatrixMul< Var, typeB, typename Promote< Var, typeB >::type >	operator* (const AbstractMatrixReadOnly< typeB > &other) const
	Multiply the matrix by another matrix. More...

MatrixUnaryMinus< Var >	operator- () const
	Unary minus. Change sign of each element of the matrix.

template<typename typeB >
KroneckerProduct< Var, typeB >	Kronecker (const AbstractMatrixReadOnly< typeB > &other) const
	Kronecker product, latex symbol \otimes. More...

Matrix< Var >	Invert (int *ierr=NULL) const
	Inverts matrix using Crout-LU decomposition with full pivoting for maximum element. More...

Matrix< Var >	CholeskyInvert (int *ierr=NULL) const
	Inverts symmetric positive-definite matrix using Cholesky decomposition.

template<typename typeB >
Matrix< typename Promote< Var, typeB >::type >	Solve (const AbstractMatrixReadOnly< typeB > &B, int *ierr=NULL) const
	Finds X in A*X=B, where A and B are general matrices. More...

template<typename typeB >
Matrix< typename Promote< Var, typeB >::type >	CholeskySolve (const AbstractMatrixReadOnly< typeB > &B, int *ierr=NULL) const
	Finds X in A*X=B, where A is a square symmetric positive definite matrix. More...

Var	Trace () const
	Calculate sum of the diagonal elements of the matrix. More...

void	Print (INMOST_DATA_REAL_TYPE threshold=1.0e-10, std::ostream &sout=std::cout) const
	Output matrix to screen. More...

bool	isSymmetric (double eps=1.0e-7) const
	Check if the matrix is symmetric. More...

template<typename typeB >
Promote< Var, typeB >::type	DotProduct (const AbstractMatrixReadOnly< typeB > &other) const
	Computes dot product by summing up multiplication of entries with the same indices in the current and the provided matrix. More...

template<typename typeB >
Promote< Var, typeB >::type	operator^ (const AbstractMatrixReadOnly< typeB > &other) const
	Computes dot product by summing up multiplication of entries with the same indices in the current and the provided matrix. More...

SelfPromote< Var >::type	FrobeniusNorm () const
	Computes frobenius norm of the matrix. More...

Var	MaxNorm () const
	Computes maximum absolute value of the matrix. More...

Matrix< Var >	PseudoInvert (INMOST_DATA_REAL_TYPE tol=0, int *ierr=NULL) const
	Calculates Moore-Penrose pseudo-inverse of the matrix. More...

Matrix< Var >	Power (INMOST_DATA_REAL_TYPE n, int *ierr=NULL) const
	Calcuate A^n, where n is some real value. More...

Matrix< Var >	Root (INMOST_DATA_ENUM_TYPE iter=25, INMOST_DATA_REAL_TYPE tol=1.0e-7, int *ierr=NULL) const
	Calculate square root of A matrix by Babylonian method. More...

template<typename typeB >
Matrix< typename Promote< Var, typeB >::type >	PseudoSolve (const AbstractMatrixReadOnly< typeB > &B, INMOST_DATA_REAL_TYPE tol=0, int *ierr=NULL) const
	Solves the system of equations of the form A*X=B, with A and B matrices. More...

Matrix< Var >	ExtractSubMatrix (enumerator ibeg, enumerator iend, enumerator jbeg, enumerator jend) const
	Extract submatrix of a matrix. More...

ConstMatrixRepack< Var >	Repack (enumerator rows, enumerator cols) const
	Change representation of the matrix into matrix of another size. More...

ConstSubMatrix< Var >	operator() (enumerator first_row, enumerator last_row, enumerator first_col, enumerator last_col) const
	Extract submatrix of a matrix for in-place manipulation of elements. More...

ConstBlockOfMatrix< Var >	BlockOf (enumerator nrows, enumerator ncols, enumerator offset_row, enumerator offset_col) const
	Define matrix as a part of a matrix of larger size with in-place manipulation of elements. More...

template<typename typeB >
MatrixMulCoef< Var, typeB, typename Promote< Var, typeB >::type >	operator* (const typeB &coef) const
	Multiply the matrix by a coefficient. More...

template<class A >
MatrixMulShellCoef< Var, shell_expression< A >, typename Promote< Var, variable >::type >	operator* (shell_expression< A > const &coef) const
	Multiply the matrix by a coefficient. More...

template<typename typeB >
MatrixDivCoef< Var, typeB, typename Promote< Var, typeB >::type >	operator/ (const typeB &coef) const
	Divide the matrix by a coefficient of a different type. More...

template<class A >
MatrixDivShellCoef< Var, shell_expression< A >, typename Promote< Var, variable >::type >	operator/ (shell_expression< A > const &coef) const
	Divide the matrix by a coefficient of a different type. More...

template<typename typeB >
Matrix< typename Promote< Var, typeB >::type >	operator/ (const AbstractMatrixReadOnly< typeB > &other) const
	Performs B^{-1}*A, multiplication by inverse matrix from left. More...

ConstMatrixConcatCols< Var >	ConcatCols (const AbstractMatrixReadOnly< Var > &B) const
	Concatenate B matrix as columns of current matrix. More...

template<typename VarB >
ConstMatrixConcatCols2< Var, VarB, typename Promote< Var, VarB >::type >	ConcatCols (const AbstractMatrixReadOnly< VarB > &B) const
	Concatenate B matrix as columns of current matrix. More...

ConstMatrixConcatRows< Var >	ConcatRows (const AbstractMatrixReadOnly< Var > &B) const
	Concatenate B matrix as rows of current matrix. More...

template<typename VarB >
ConstMatrixConcatRows2< Var, VarB, typename Promote< Var, VarB >::type >	ConcatRows (const AbstractMatrixReadOnly< VarB > &B) const
	Concatenate B matrix as rows of current matrix. More...

virtual	~AbstractMatrixReadOnly ()
	Destructor.

__INLINE Matrix< Promote< variable, variable >::type >	CholeskySolve (const AbstractMatrixReadOnly< variable > &B, int *ierr) const

__INLINE Matrix< Promote< INMOST_DATA_REAL_TYPE, variable >::type >	CholeskySolve (const AbstractMatrixReadOnly< variable > &B, int *ierr) const

__INLINE Matrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type >	CholeskySolve (const AbstractMatrixReadOnly< INMOST_DATA_REAL_TYPE > &B, int *ierr) const

Additional Inherited Members
Static Protected Attributes inherited from INMOST::AbstractMatrixBase
static thread_private< Sparse::RowMerger >	merger

Detailed Description

Definition at line 3312 of file inmost_dense.h.

Member Function Documentation

◆ Cols()

__INLINE enumerator INMOST::MatrixMul< variable, INMOST_DATA_REAL_TYPE, Promote< variable, INMOST_DATA_REAL_TYPE >::type >::Cols ( ) const

inlinevirtual

Number of columns.

Returns: Number of columns.

Implements INMOST::AbstractMatrixReadOnly< Var >.

Definition at line 3334 of file inmost_dense.h.

◆ compute()

__INLINE variable INMOST::MatrixMul< variable, INMOST_DATA_REAL_TYPE, Promote< variable, INMOST_DATA_REAL_TYPE >::type >::compute	(	enumerator	i,
		enumerator	j
	)		const

inlinevirtual

Access element of the matrix by row and column indices without right to change the element.

Parameters

i	Row index.
j	Column index.

Returns: Reference to constant element.

Implements INMOST::AbstractMatrixReadOnly< Var >.

Definition at line 3391 of file inmost_dense.h.

◆ get()

__INLINE const variable& INMOST::MatrixMul< variable, INMOST_DATA_REAL_TYPE, Promote< variable, INMOST_DATA_REAL_TYPE >::type >::get	(	enumerator	i,
		enumerator	j
	)		const

inlinevirtual

Access element of the matrix by row and column indices.

Parameters

i	Column index.
j	Row index.

Returns: Reference to constant element.

Implements INMOST::AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type >.

Definition at line 3393 of file inmost_dense.h.

◆ operator()()

__INLINE variable& INMOST::MatrixMul< variable, INMOST_DATA_REAL_TYPE, Promote< variable, INMOST_DATA_REAL_TYPE >::type >::operator()	(	enumerator	i,
		enumerator	j
	)

inlinevirtual

Access element of the matrix by row and column indices.

Parameters

i	Column index.
j	Row index.

Returns: Reference to element.

Implements INMOST::AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type >.

Definition at line 3392 of file inmost_dense.h.

◆ Resize()

void INMOST::MatrixMul< variable, INMOST_DATA_REAL_TYPE, Promote< variable, INMOST_DATA_REAL_TYPE >::type >::Resize	(	enumerator	rows,
		enumerator	cols
	)

inlinevirtual

This is a stub function to fulfill abstract inheritance.

BlockOfMatrix cannot change it's size, since it just points to a part of the larger empty matrix.

Implements INMOST::AbstractMatrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type >.

Definition at line 3323 of file inmost_dense.h.

◆ Rows()

__INLINE enumerator INMOST::MatrixMul< variable, INMOST_DATA_REAL_TYPE, Promote< variable, INMOST_DATA_REAL_TYPE >::type >::Rows ( ) const

inlinevirtual

Number of rows.

Returns: Number of rows.

Implements INMOST::AbstractMatrixReadOnly< Var >.

Definition at line 3331 of file inmost_dense.h.

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

inmost_dense.h

Public Types

Public Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ Cols()

◆ compute()

◆ get()

◆ operator()()

◆ Resize()

◆ Rows()