The Conley-Morse Graphs Software: MapComputation< mapcomp, cubetype, cubsettype

List of all members.


Public Member Functions
	MapComputation (const double _offset, const double _width, int _intwidth, const mapcomp &_M=mapcomp())
	The default constructor.
	~MapComputation ()
	The destructor.
int	operator() (const cubetype &q, cubsettype &img) const
	The operator for computing the image of a box in terms of a set of boxes (a multivalued cubical map).
Public Attributes
bool	cache
	Using cache for the map.
bool	cropping
	Is cropping of images to the designated box in effect?
bool	cropped
	Was the image cropped at least once? Reset this variable to "false" in order to detect image cropping again.
Static Public Attributes
static int	maxImgDiam
	The maximal image diameter encountered so far.
static int	maxImgVol
	The maximal image volume encountered so far.
Private Member Functions
int	compute (const typename cubetype::CoordType coord, int dim, typename cubetype::CoordType left, typename cubetype::CoordType *right) const
	Use interval arithmetic to compute the coordinate scope.
Private Attributes
int	cacheused
	The number of times the cache was used successfully.
const double *	offset
	The offset of the cubical rectangle.
const double *	width
	The width of the rectangle in each direction.
int	intwidth
	The width of the rectangle in terms of the number of cubes.
const mapcomp &	M
	The map used to compute an interval enclosure of the image of an interval box.
cubsettype	computed
	The cache domain.
chomp::homology::multitable < cubetype >	leftcache
	The cache left vertex.
chomp::homology::multitable < cubetype >	rightcache
	The cache right vertex.

Detailed Description

template<class mapcomp, class cubetype, class cubsettype = chomp::homology::hashedset<cubetype>>
class MapComputation< mapcomp, cubetype, cubsettype >

The "mapcomp" class must have a static method called "compute" which is used to compute the map in interval arithmetic (see the sample class IdentityMap for details).

Constructor & Destructor Documentation

template<class mapcomp, class cubetype, class cubsettype>

MapComputation< mapcomp, cubetype, cubsettype >::MapComputation	(	const double *	_offset,
		const double *	_width,
		int	_intwidth,
		const mapcomp &	_M = `mapcomp ()`
	)			`[inline]`

The default constructor.

Definition at line 198 of file conindex.h.

template<class mapcomp, class cubetype, class cubsettype>

MapComputation< mapcomp, cubetype, cubsettype >::~MapComputation ( ) [inline]

The destructor.

Definition at line 207 of file conindex.h.

References MapComputation< mapcomp, cubetype, cubsettype >::cache, MapComputation< mapcomp, cubetype, cubsettype >::computed, MapComputation< mapcomp, cubetype, cubsettype >::leftcache, and MapComputation< mapcomp, cubetype, cubsettype >::rightcache.

Member Function Documentation

template<class mapcomp, class cubetype, class cubsettype>

int MapComputation< mapcomp, cubetype, cubsettype >::operator()	(	const cubetype &	q,
		cubsettype &	img
	)			const `[inline]`

The operator for computing the image of a box in terms of a set of boxes (a multivalued cubical map).

The integral coefficients of cubes are transformed to real numbers according to the rectangular area defined by offset from the origin and its width, as well as the width of this area in terms of integral coefficients. Note: 'intwidth' does not have to be a power of 2.

Definition at line 284 of file conindex.h.

template<class mapcomp, class cubetype, class cubsettype>

int MapComputation< mapcomp, cubetype, cubsettype >::compute	(	const typename cubetype::CoordType *	coord,
		int	dim,
		typename cubetype::CoordType *	left,
		typename cubetype::CoordType *	right
	)			const `[inline, private]`

Use interval arithmetic to compute the coordinate scope.

Note: 'coord' may point to the same location as 'left' or 'right'.

Definition at line 234 of file conindex.h.

References MapComputation< mapcomp, cubetype, cubsettype >::intwidth, MapComputation< mapcomp, cubetype, cubsettype >::M, MapComputation< mapcomp, cubetype, cubsettype >::offset, and MapComputation< mapcomp, cubetype, cubsettype >::width.

Referenced by MapComputation< mapcomp, cubetype, cubsettype >::operator()().

Member Data Documentation