This class allows to address a matrix as a block of an empty matrix of larger size. More...

#include <inmost_dense.h>

Inheritance diagram for INMOST::ConstBlockOfMatrix< Var >:

Collaboration diagram for INMOST::ConstBlockOfMatrix< Var >:

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Public Types
typedef AbstractMatrixReadOnly< Var >::enumerator	enumerator

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

Public Member Functions
__INLINE enumerator	Rows () const
	Number of rows in submatrix. More...

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

	ConstBlockOfMatrix (const AbstractMatrixReadOnly< Var > &rM, enumerator num_rows, enumerator num_cols, enumerator offset_row, enumerator offset_col)
	Create submatrix for a matrix. More...

	ConstBlockOfMatrix (const ConstBlockOfMatrix &b)

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

::INMOST::Matrix< Var >	MakeMatrix ()
	Convert block of matrix into matrix. More...

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.

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

__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

template<typename Var>
class INMOST::ConstBlockOfMatrix< Var >

This class allows to address a matrix as a block of an empty matrix of larger size.

Definition at line 2394 of file inmost_dense.h.

Constructor & Destructor Documentation

◆ ConstBlockOfMatrix()

template<typename Var >

INMOST::ConstBlockOfMatrix< Var >::ConstBlockOfMatrix	(	const AbstractMatrixReadOnly< Var > &	rM,
		enumerator	num_rows,
		enumerator	num_cols,
		enumerator	offset_row,
		enumerator	offset_col
	)

inline

Create submatrix for a matrix.

Parameters

rM	Reference to the matrix that stores elements.
num_rows	Number of rows in the larger matrix.
num_cols	Number of columns in the larger matrix.
first_row	Offset for row index in the larger matrix.
first_column	Offset for column index in the larger matrix.

Definition at line 2418 of file inmost_dense.h.

Member Function Documentation

◆ Cols()

template<typename Var >

__INLINE enumerator INMOST::ConstBlockOfMatrix< Var >::Cols ( ) const

inlinevirtual

Number of columns in submatrix.

Returns: Number of columns.

Implements INMOST::AbstractMatrixReadOnly< Var >.

Definition at line 2411 of file inmost_dense.h.

◆ compute()

template<typename Var >

__INLINE Var INMOST::ConstBlockOfMatrix< Var >::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	Column index.
j	Row index.

Returns: Reference to constant element.

Implements INMOST::AbstractMatrixReadOnly< Var >.

Definition at line 2426 of file inmost_dense.h.

◆ MakeMatrix()

template<typename Var >

::INMOST::Matrix<Var> INMOST::ConstBlockOfMatrix< Var >::MakeMatrix ( )

inline

Convert block of matrix into matrix.

Note, that modifying returned matrix does not affect elements of the matrix or original matrix used to create block of matrix.

Returns: Matrix with same entries as block of matrix including empty elements.

Definition at line 2440 of file inmost_dense.h.

◆ Rows()

template<typename Var >

__INLINE enumerator INMOST::ConstBlockOfMatrix< Var >::Rows ( ) const

inlinevirtual

Number of rows in submatrix.

Returns: Number of rows.

Implements INMOST::AbstractMatrixReadOnly< Var >.

Definition at line 2408 of file inmost_dense.h.

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

Public Types

Public Member Functions

Additional Inherited Members

Detailed Description

template<typename Var> class INMOST::ConstBlockOfMatrix< Var >

Constructor & Destructor Documentation

◆ ConstBlockOfMatrix()

Member Function Documentation

◆ Cols()

◆ compute()

◆ MakeMatrix()

◆ Rows()

template<typename Var>
class INMOST::ConstBlockOfMatrix< Var >