A slice of a sparse real interval matrix. More...

#include <simatrix.hpp>

Collaboration diagram for cxsc::simatrix_slice:

Public Member Functions
interval &	element (const int i, const int j)
	Returns a reference to the element (i,j) of the matrix.
const interval	operator() (const int i, const int j) const
	Returns a copy of the element (i,j) of the matrix.
simatrix_slice &	operator*= (const srmatrix_slice &M)
	Assigns the product of the sparse slice and M to the slice.
simatrix_slice &	operator*= (const simatrix_slice &M)
	Assigns the product of the sparse slice and M to the slice.
simatrix_slice &	operator*= (const srmatrix &M)
	Assigns the product of the sparse slice and M to the slice.
simatrix_slice &	operator*= (const simatrix &M)
	Assigns the product of the sparse slice and M to the slice.
simatrix_slice &	operator*= (const rmatrix &M)
	Assigns the product of the sparse slice and M to the slice.
simatrix_slice &	operator*= (const imatrix &M)
	Assigns the product of the sparse slice and M to the slice.
simatrix_slice &	operator*= (const rmatrix_slice &M)
	Assigns the product of the sparse slice and M to the slice.
simatrix_slice &	operator*= (const imatrix_slice &M)
	Assigns the product of the sparse slice and M to the slice.
simatrix_slice &	operator*= (const real &r)
	Assigns the component wise product of the sparse slice and r to the slice.
simatrix_slice &	operator*= (const interval &r)
	Assigns the component wise product of the sparse slice and r to the slice.
simatrix_slice &	operator+= (const srmatrix_slice &M)
	Assigns the element wise sum of the sparse slice and M to the slice.
simatrix_slice &	operator+= (const simatrix_slice &M)
	Assigns the element wise sum of the sparse slice and M to the slice.
simatrix_slice &	operator+= (const srmatrix &M)
	Assigns the element wise sum of the sparse slice and M to the slice.
simatrix_slice &	operator+= (const simatrix &M)
	Assigns the element wise sum of the sparse slice and M to the slice.
simatrix_slice &	operator+= (const rmatrix &M)
	Assigns the element wise sum of the sparse slice and M to the slice.
simatrix_slice &	operator+= (const imatrix &M)
	Assigns the element wise sum of the sparse slice and M to the slice.
simatrix_slice &	operator+= (const rmatrix_slice &M)
	Assigns the element wise sum of the sparse slice and M to the slice.
simatrix_slice &	operator+= (const imatrix_slice &M)
	Assigns the element wise sum of the sparse slice and M to the slice.
simatrix_slice &	operator-= (const srmatrix_slice &M)
	Assigns the element wise difference of the sparse slice and M to the slice.
simatrix_slice &	operator-= (const simatrix_slice &M)
	Assigns the element wise difference of the sparse slice and M to the slice.
simatrix_slice &	operator-= (const srmatrix &M)
	Assigns the element wise difference of the sparse slice and M to the slice.
simatrix_slice &	operator-= (const simatrix &M)
	Assigns the element wise difference of the sparse slice and M to the slice.
simatrix_slice &	operator-= (const rmatrix &M)
	Assigns the element wise difference of the sparse slice and M to the slice.
simatrix_slice &	operator-= (const imatrix &M)
	Assigns the element wise difference of the sparse slice and M to the slice.
simatrix_slice &	operator-= (const rmatrix_slice &M)
	Assigns the element wise difference of the sparse slice and M to the slice.
simatrix_slice &	operator-= (const imatrix_slice &M)
	Assigns the element wise difference of the sparse slice and M to the slice.
simatrix_slice &	operator/= (const real &r)
	Assigns the component wise division of the sparse slice and M to the slice.
simatrix_slice &	operator/= (const interval &r)
	Assigns the component wise division of the sparse slice and M to the slice.
simatrix_slice &	operator= (const real &C)
	Assing C to all elements of the slice.
simatrix_slice &	operator= (const interval &C)
	Assing C to all elements of the slice.
simatrix_slice &	operator= (const srmatrix &C)
	Assing C to the slice.
simatrix_slice &	operator= (const simatrix &C)
	Assing C to the slice.
simatrix_slice &	operator= (const rmatrix &C)
	Assing C to the slice.
simatrix_slice &	operator= (const imatrix &C)
	Assing C to the slice.
simatrix_slice &	operator= (const rmatrix_slice &C)
	Assing C to the slice.
simatrix_slice &	operator= (const imatrix_slice &C)
	Assing C to the slice.
simatrix_slice &	operator= (const srmatrix_slice &C)
	Assing C to the slice.
simatrix_slice &	operator= (const simatrix_slice &C)
	Assing C to the slice.
simatrix_subv	operator[] (const int)
	Returns a row of the matrix.
simatrix_subv	operator[] (const cxscmatrix_column &)
	Returns a column of the matrix.
const simatrix_subv	operator[] (const int) const
	Returns a row of the matrix.
const simatrix_subv	operator[] (const cxscmatrix_column &) const
	Returns a column of the matrix.
simatrix_slice &	operator\|= (const srmatrix_slice &M)
	Assigns the element wise convex hull of the sparse slice and M to the slice.
simatrix_slice &	operator\|= (const simatrix_slice &M)
	Assigns the element wise convex hull of the sparse slice and M to the slice.
simatrix_slice &	operator\|= (const srmatrix &M)
	Assigns the element wise convex hull of the sparse slice and M to the slice.
simatrix_slice &	operator\|= (const simatrix &M)
	Assigns the element wise convex hull of the sparse slice and M to the slice.
simatrix_slice &	operator\|= (const rmatrix &M)
	Assigns the element wise convex hull of the sparse slice and M to the slice.
simatrix_slice &	operator\|= (const imatrix &M)
	Assigns the element wise convex hull of the sparse slice and M to the slice.
simatrix_slice &	operator\|= (const rmatrix_slice &M)
	Assigns the element wise convex hull of the sparse slice and M to the slice.
simatrix_slice &	operator\|= (const imatrix_slice &M)
	Assigns the element wise convex hull of the sparse slice and M to the slice.
Friends
simatrix	abs (const simatrix_slice &)
	Returns the elementwise absolute value of S.
int	ColLen (const simatrix_slice &)
	Returns the number of rows of the matrix slice.
srmatrix	diam (const simatrix_slice &)
	Returns the elementwise diameter of S.
srmatrix	Inf (const simatrix_slice &)
	Returns the infimum of the slice S.
int	Lb (const simatrix_slice &, const int)
	Returns the lower index bound of the rows (if i==ROW) or columns (if i==COL) of the slice.
srmatrix	mid (const simatrix_slice &)
	Returns the elementwise midpoint of S.
std::ostream &	operator<< (std::ostream &, const simatrix_slice &)
	Standard output operator for sparse matrix slice.
int	RowLen (const simatrix_slice &)
	Returns the number columns of the matrix slice.
srmatrix	Sup (const simatrix_slice &)
	Returns the supremum of the slice S.
int	Ub (const simatrix_slice &, const int)
	Returns the upper index bound of the rows (if i==ROW) or columns (if i==COL) of the slice.

Detailed Description

A slice of a sparse real interval matrix.

Represents a slice of a sparse real interval matrix. This helper class provides read and write access to such a slice using the standard operators. It should normally not be necessary for the user to explicitly work with this data type, which is why the constructors are private.

Definition at line 2431 of file simatrix.hpp.

Member Function Documentation

interval& cxsc::simatrix_slice::element	(	const int	i,
		const int	j
	)		`[inline]`

Returns a reference to the element (i,j) of the matrix.

Returns a reference to the (i,j)-th element. If the element is not explicitly stored, it is added as an explicit zero entry to the data structure. Using this function is faster than using A[i][j], since no temporary subvecto object must be created.

Definition at line 2782 of file simatrix.hpp.

Referenced by cxsc::simatrix_subv::operator[]().

const interval cxsc::simatrix_slice::operator()	(	const int	i,
		const int	j
	)		const `[inline]`

Returns a copy of the element (i,j) of the matrix.

This operators can only be usd for read access. Note that accessing single elements of a sparse matrix is more expensive than for dense matrices and should in general be avoided.

Definition at line 2768 of file simatrix.hpp.

Friends And Related Function Documentation

std::ostream& operator<<	(	std::ostream &	os,
		const simatrix_slice &	M
	)		`[friend]`

Standard output operator for sparse matrix slice.

The output format is set by global flags, default is dense output. Use cout << SparseInOut; for sparse output or cout << MatrixMarketInOut; for output in matrix market format.

Definition at line 4359 of file simatrix.hpp.

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

Public Member Functions

Friends

Detailed Description

Member Function Documentation

Friends And Related Function Documentation