The Finite Resolution Dynamics Software: tCoverBoxes< NumType

List of all members.


Public Types
typedef NumType	NumberType
	The type of numbers in the Henon map.
Public Member Functions
	tCoverBoxes (const int spaceDim, const NumType leftCorner, const NumType boxWidths, const int partCounts, const NumType overlap=0)
	The constructor of an open cover object.
	~tCoverBoxes ()
	The destructor of an open cover object.
int	dim () const
	Returns the dimension of the phase space.
int	size () const
	Returns the number of boxes in the cover.
template<class ResultType>
void	get (const int n, ResultType leftBounds, ResultType rightBounds) const
	Returns the coordinates of the given box.
template<class ResultType>
void	getLeftCorner (ResultType *leftCorner) const
	Returns the coordinates of the left corner of the range box.
template<class ResultType>
void	getBoxWidths (ResultType *boxWidths) const
	Returns the width of the range box in each direction.
template<class InputType, class BoxNumbers>
void	cover (const InputType leftBounds, const InputType rightBounds, BoxNumbers &boxNumbers, NumType *diameter2=0)
	Covers the given box and adds numbers of all the boxes in the cover to a list using the provided class object with its method "add".
template<class InputType>
void	cover (const InputType *x)
	Covers a given point with open boxes.
void	forget ()
	Forgets the cover elements.
Private Types
typedef int	CoordType
	The type of integer coordinates for boxes that represent cover elements.
typedef chomp::homology::tCubeBase < CoordType >	CubeType
	The type of a cube that represents a cover element.
Private Member Functions
NumType	leftBound (int coord, int dir) const
	Computes the real left coordinate in the given direction of a box represented by integer coordinates.
NumType	rightBound (int coord, int dir) const
	Computes the real right coordinate in the given direction of a box represented by integer coordinates.
CoordType	leftCoord (const NumType &bound, int dir) const
	Computes the left coordinate in the given direction of the leftmost box to cover the given real coordinate.
CoordType	rightCoord (const NumType &bound, int dir) const
	Computes the right coordinate in the given direction of the rightmost box to cover the given real coordinate.
	tCoverBoxes (const tCoverBoxes< NumType > &)
	The copy constructor should not be used.
tCoverBoxes< NumType > &	operator= (const tCoverBoxes< NumType > &)
	The assignment operator should not be used.
Private Attributes
int	spaceDim
	The dimension of the space.
NumType *	leftCorner
	The lower left corner of the covered rectangle.
NumType *	boxWidths
	The widths of the covered rectangle in all the directions.
NumType *	rightCorner
	The upper right corner of the covered rectangle.
int *	partCounts
	The numbers of parts into which the box is subdivided in each direction.
NumType *	overlap
	The minimal overlap width.
CoordType *	buffer
	A temporary buffer for the coordinates of two cubes.
chomp::homology::hashedset < CubeType >	boxes
	The set of boxes in the cover.

Detailed Description

template<class NumType>
class tCoverBoxes< NumType >

Member Typedef Documentation

template<class NumType>

typedef NumType tCoverBoxes< NumType >::NumberType

The type of numbers in the Henon map.

Definition at line 77 of file covboxes.h.

template<class NumType>

typedef int tCoverBoxes< NumType >::CoordType [private]

The type of integer coordinates for boxes that represent cover elements.

Definition at line 149 of file covboxes.h.

template<class NumType>

typedef chomp::homology::tCubeBase<CoordType> tCoverBoxes< NumType >::CubeType [private]

The type of a cube that represents a cover element.

Definition at line 155 of file covboxes.h.

Constructor & Destructor Documentation

template<class NumType>

tCoverBoxes< NumType >::tCoverBoxes	(	const int	spaceDim,
		const NumType *	leftCorner,
		const NumType *	boxWidths,
		const int *	partCounts,
		const NumType *	overlap = `0`
	)			`[inline]`

The constructor of an open cover object.

Definition at line 187 of file covboxes.h.

References tCoverBoxes< NumType >::buffer, tRounding< NumType >::min_number(), and tCoverBoxes< NumType >::rightCorner.

template<class NumType>

tCoverBoxes< NumType >::~tCoverBoxes ( ) [inline]

The destructor of an open cover object.

Definition at line 272 of file covboxes.h.

References tCoverBoxes< NumType >::boxWidths, tCoverBoxes< NumType >::buffer, tCoverBoxes< NumType >::leftCorner, tCoverBoxes< NumType >::overlap, tCoverBoxes< NumType >::partCounts, and tCoverBoxes< NumType >::rightCorner.

template<class NumType>

tCoverBoxes< NumType >::tCoverBoxes ( const tCoverBoxes< NumType > & ) [inline, private]

The copy constructor should not be used.

Definition at line 257 of file covboxes.h.

Member Function Documentation

template<class NumType>

int tCoverBoxes< NumType >::dim ( ) const [inline]

Returns the dimension of the phase space.

Definition at line 284 of file covboxes.h.

References tCoverBoxes< NumType >::spaceDim.

Referenced by operator<<().

template<class NumType>

int tCoverBoxes< NumType >::size ( ) const [inline]

Returns the number of boxes in the cover.

Definition at line 290 of file covboxes.h.

References tCoverBoxes< NumType >::boxes.

Referenced by tCoverBoxes< NumType >::cover(), tCoverBoxes< NumType >::get(), and operator<<().

template<class NumType>

template<class ResultType>

void tCoverBoxes< NumType >::get	(	const int	n,
		ResultType *	leftBounds,
		ResultType *	rightBounds
	)			const `[inline]`

Returns the coordinates of the given box.

Throws an exception if the box with this number is undefined.

Definition at line 421 of file covboxes.h.

References tCoverBoxes< NumType >::boxes, tCoverBoxes< NumType >::buffer, tCoverBoxes< NumType >::leftBound(), tCoverBoxes< NumType >::rightBound(), tCoverBoxes< NumType >::size(), and tCoverBoxes< NumType >::spaceDim.

Referenced by tCoverBoxes< NumType >::cover().

template<class NumType>

template<class ResultType>

void tCoverBoxes< NumType >::getLeftCorner ( ResultType * leftCorner ) const [inline]

Returns the coordinates of the left corner of the range box.

Definition at line 446 of file covboxes.h.

References tCoverBoxes< NumType >::spaceDim.

template<class NumType>

template<class ResultType>

void tCoverBoxes< NumType >::getBoxWidths ( ResultType * boxWidths ) const [inline]

Returns the width of the range box in each direction.

Definition at line 456 of file covboxes.h.

References tCoverBoxes< NumType >::spaceDim.

template<class NumType>

template<class InputType, class BoxNumbers>

void tCoverBoxes< NumType >::cover	(	const InputType *	leftBounds,
		const InputType *	rightBounds,
		BoxNumbers &	boxNumbers,
		NumType *	diameter2 = `0`
	)			`[inline]`

Covers the given box and adds numbers of all the boxes in the cover to a list using the provided class object with its method "add".

Adds boxes necessary to cover the rectangle to the cover if they are not there yet. Throws an exception if the predefined bounds of the covered rectangular box have been exceeded. If requested, comptues a rigorous upper bound for the square of the diameter of the cover.

Definition at line 466 of file covboxes.h.

References tCoverBoxes< NumType >::boxes, tCoverBoxes< NumType >::buffer, tCoverBoxes< NumType >::get(), tCoverBoxes< NumType >::leftBound(), tCoverBoxes< NumType >::leftCoord(), tCoverBoxes< NumType >::rightBound(), tCoverBoxes< NumType >::rightCoord(), tCoverBoxes< NumType >::size(), and tCoverBoxes< NumType >::spaceDim.

Referenced by tCoverBoxes< NumType >::cover().

template<class NumType>

template<class InputType>

void tCoverBoxes< NumType >::cover ( const InputType * x ) [inline]

Covers a given point with open boxes.

Definition at line 520 of file covboxes.h.

References tCoverBoxes< NumType >::cover(), and tCoverBoxes< NumType >::spaceDim.

template<class NumType>

void tCoverBoxes< NumType >::forget ( ) [inline]

Forgets the cover elements.