The Morse decoposition class. More...

#include <morsedec.h>

Public Types
typedef mapcomp	MapCompType
	The type of the map computation class. More...

typedef cubetype	CubeType
	The type of a single cube. More...

typedef cubsettype	CubSetType
	The type of a set of cubes used to store each Morse set. More...

typedef IndexPair< mapcomp, cubetype, cubsettype >	PairType
	The type of the index pair. More...

typedef ConleyIndex< PairType >	IndexType
	The type of the Conley index. More...

Public Member Functions
	MorseDecomposition (const mapcomp &_M=mapcomp())
	The default constructor. More...

	~MorseDecomposition ()
	The destructor. More...

	MorseDecomposition (const MorseDecomposition &m)
	The copy constructor. More...

MorseDecomposition< mapcomp, cubetype, cubsettype > &	operator= (const MorseDecomposition< mapcomp, cubetype, cubsettype > &m)
	The assignment operator. More...

void	swap (MorseDecomposition &m)
	Swaps the internal data with another object (note: both must be initialized with the same map computation object reference). More...

int	setnumber (int n)
	Changes (increases or decreases) the number of Morse sets. More...

int	add (int n, const cubetype &q)
	Adds a cube to the given Morse set and increases the number of Morse sets if necessary. More...

int	count () const
	Returns the number of Morse sets. More...

const cubsettype &	operator[] (int n) const
	Returns the n-th Morse set. More...

cubsettype &	operator[] (int n)
	Returns the n-th Morse set. More...

int	distance (int n, int m) const
	Returns the approximate distance between the two Morse sets. More...

int	addconn (int n, int m)
	Adds a connection between the given Morse sets without adding any cubes to this connection (like in a direct connection). More...

int	addconn (int n, int m, const cubetype &q)
	Adds a cube to the connecting orbit between the given Morse sets. More...

bool	connected (int n, int m) const
	Checks whether there exists a connection between given sets. More...

const cubsettype &	connection (int n, int m) const
	Returns the connection between the given sets. More...

int	distance (int n, int m, int k) const
	Returns the approximate maximal distance of a cube in the orbit that connects the sets n and m (in either direction) from the k-th Morse set, i.e., how far the orbit is from the set. More...

int	conndistance (int n, int m) const
	Returns the appropriate maximal distance between cubes that are contained in the Morse set n and the connecting orbit n-m or m-n. More...

int	makegraph (chomp::homology::diGraph<> &g) const
	Creates a graph representation of the Morse decomposition. More...

const IndexType &	compute (int n)
	Computes the Conley index of the given Morse set. More...

int	compute ()
	Computes the Conley indices of all the Morse sets. More...

bool	computed (int n) const
	Verifies if the Conley index for the given Morse set has been already computed. More...

const IndexType &	index (int n) const
	Retrieves the previously computed Conley index of the given Morse set. More...

const IndexType &	setindex (int n, const typename MorseDecomposition< mapcomp, cubetype, cubsettype >::IndexType &ind)
	Sets the index of the given Morse set to the apriori known one. More...

bool	trivial (int n) const
	Returns true if the Conley index of the given Morse set is trivial, and false if either nontrivial or not yet computed. More...

void	intersection (const MorseDecomposition< mapcomp, cubetype, cubsettype > &m, const MorseDecomposition< mapcomp, cubetype, cubsettype > &n)
	Computes the set-wise intersection of two Morse decompositions. More...

int	join (int n, int m)
	Joins the two given Morse sets. More...

int	passthru (int n)
	Make connecting orbits pass through the given Morse set, because its invariant part is in fact empty. More...

int	passthru (chomp::homology::hashedset< int > &setsToRemove)
	Make connecting orbits pass through the given Morse sets, because their invariant part is in fact empty. More...

int	jointrivial (int_t maxsetsize, int_t maxconnsize, int maxdistance)
	Joins small Morse sets with trivial indices with Morse sets whose indices are nontrivial. More...

int	savetofiles (const char *prefix=0)
	Save the Morse sets and connecting orbits to files. More...

int	loadfromfiles (const char *prefix=0)
	Load the Morse sets and connecting orbits from files. More...

Public Attributes
const mapcomp &	M
	The map computation class. More...

Private Types
typedef chomp::homology::mvmap< cubetype, cubetype >	cubmaptype
	The type of a combinatorial cubical multivalued map. More...

Private Member Functions
void	setConnDefined (void)
	Initializes the connection array so that connections are defined from this point on. More...

void	deleteall (int firstnumber, int lastnumber)
	Release the memory (used in the destructor and copy constructor). More...

void	copyall (const MorseDecomposition &m)
	Copy all the data (used in the copy constructor and operator =). More...

void	addone ()
	Add one Morse set and initialize its data. More...

bool	adjacent (int n, int m, int margin=0) const
	Verifies if two Morse sets are adjacent to each other. More...

Static Private Member Functions
static int	cubsetdistance (const cubsettype &X, const cubsettype &Y, bool minimum)
	Returns the approximate distance between the two cubical sets. More...

Private Attributes
int	nsets
	The number of Morse sets. More...

chomp::homology::multitable< cubsettype * >	sets
	The Morse sets. More...

chomp::homology::multitable< IndexType * >	indices
	The Conley indices of the Morse sets. More...

chomp::homology::multitable< int >	nontrivial
	The table that stores the information on whether the indices are trivial or not: -1 = unknown, 0 = trivial, 1 = nontrivial. More...

chomp::homology::multitable< chomp::homology::multitable< cubsettype * > >	conn
	Connecting orbits from one set to another. More...

bool	connDefined
	Were any connections defined? More...

chomp::homology::multitable< chomp::homology::multitable< int > >	dist
	Tabulated distances between the Morse sets. More...

bool	distDefined
	Were any distances computed? More...

chomp::homology::multitable< chomp::homology::multitable< int > >	distconn
	Tabulated values of the function "conndistance". More...

bool	distconnDefined
	Were any values of conn distance defined? More...

Detailed Description

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

The Morse decoposition class.

This is a template whose parameters define a class used to compute the combinatorial cubical multivalued map on Morse sets, a class which corresponds to a single cube, and a class which is used to keep sets of cubes (the hashed set by default).

Definition at line 64 of file morsedec.h.

Member Typedef Documentation

◆ CubeType

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

typedef cubetype MorseDecomposition< mapcomp, cubetype, cubsettype >::CubeType

The type of a single cube.

Definition at line 74 of file morsedec.h.

◆ cubmaptype

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

typedef chomp::homology::mvmap<cubetype,cubetype> MorseDecomposition< mapcomp, cubetype, cubsettype >::cubmaptype

private

The type of a combinatorial cubical multivalued map.

Definition at line 67 of file morsedec.h.

◆ CubSetType

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

typedef cubsettype MorseDecomposition< mapcomp, cubetype, cubsettype >::CubSetType

The type of a set of cubes used to store each Morse set.

Definition at line 77 of file morsedec.h.

◆ IndexType

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

typedef ConleyIndex<PairType> MorseDecomposition< mapcomp, cubetype, cubsettype >::IndexType

The type of the Conley index.

Definition at line 83 of file morsedec.h.

◆ MapCompType

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

typedef mapcomp MorseDecomposition< mapcomp, cubetype, cubsettype >::MapCompType

The type of the map computation class.

Definition at line 71 of file morsedec.h.

◆ PairType

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

typedef IndexPair<mapcomp,cubetype,cubsettype> MorseDecomposition< mapcomp, cubetype, cubsettype >::PairType

The type of the index pair.

Definition at line 80 of file morsedec.h.

Constructor & Destructor Documentation

◆ MorseDecomposition() [1/2]

template<class mapcomp , class cubetype , class cubsettype >

MorseDecomposition< mapcomp, cubetype, cubsettype >::MorseDecomposition ( const mapcomp & _M = mapcomp () )

inline

The default constructor.

Definition at line 314 of file morsedec.h.

◆ ~MorseDecomposition()

template<class mapcomp , class cubetype , class cubsettype >

MorseDecomposition< mapcomp, cubetype, cubsettype >::~MorseDecomposition

inline

The destructor.

Definition at line 480 of file morsedec.h.

◆ MorseDecomposition() [2/2]

template<class mapcomp , class cubetype , class cubsettype >

MorseDecomposition< mapcomp, cubetype, cubsettype >::MorseDecomposition ( const MorseDecomposition< mapcomp, cubetype, cubsettype > & m )

inline

The copy constructor.

Definition at line 554 of file morsedec.h.

References MorseDecomposition< mapcomp, cubetype, cubsettype >::copyall().

Member Function Documentation

◆ add()

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::add	(	int	n,
		const cubetype &	q
	)

inline

Adds a cube to the given Morse set and increases the number of Morse sets if necessary.

Definition at line 780 of file morsedec.h.

◆ addconn() [1/2]

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::addconn	(	int	n,
		int	m
	)

inline

Adds a connection between the given Morse sets without adding any cubes to this connection (like in a direct connection).

Definition at line 794 of file morsedec.h.

◆ addconn() [2/2]

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::addconn	(	int	n,
		int	m,
		const cubetype &	q
	)

inline

Adds a cube to the connecting orbit between the given Morse sets.

Definition at line 808 of file morsedec.h.

◆ addone()

template<class mapcomp , class cubetype , class cubsettype >

void MorseDecomposition< mapcomp, cubetype, cubsettype >::addone

inlineprivate

Add one Morse set and initialize its data.

Definition at line 597 of file morsedec.h.

◆ adjacent()

template<class mapcomp , class cubetype , class cubsettype >

bool MorseDecomposition< mapcomp, cubetype, cubsettype >::adjacent	(	int	n,
		int	m,
		int	margin = `0`
	)		const

inlineprivate

Verifies if two Morse sets are adjacent to each other.

Note: If both sets are large, then this can be time-consuming.

Definition at line 643 of file morsedec.h.

◆ compute() [1/2]

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::compute

inline

Computes the Conley indices of all the Morse sets.

Definition at line 1064 of file morsedec.h.

◆ compute() [2/2]

template<class mapcomp , class cubetype , class cubsettype >

const MorseDecomposition< mapcomp, cubetype, cubsettype >::IndexType & MorseDecomposition< mapcomp, cubetype, cubsettype >::compute ( int n )

inline

Computes the Conley index of the given Morse set.

Definition at line 1030 of file morsedec.h.

◆ computed()

template<class mapcomp , class cubetype , class cubsettype >

bool MorseDecomposition< mapcomp, cubetype, cubsettype >::computed ( int n ) const

inline

Verifies if the Conley index for the given Morse set has been already computed.

Definition at line 1072 of file morsedec.h.

◆ conndistance()

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::conndistance	(	int	n,
		int	m
	)		const

inline

Returns the appropriate maximal distance between cubes that are contained in the Morse set n and the connecting orbit n-m or m-n.

Note: The values returned by this function are tabulated, and are not updated when the Morse sets are modified with the 'add' function or when the connecting orbits are modified with the 'addconn' function. Call with (-1,-1) to reset the tabulation.

Definition at line 952 of file morsedec.h.

◆ connected()

template<class mapcomp , class cubetype , class cubsettype >

bool MorseDecomposition< mapcomp, cubetype, cubsettype >::connected	(	int	n,
		int	m
	)		const

inline

Checks whether there exists a connection between given sets.

Returns true if yes, false if no or wrong numbers.

Definition at line 921 of file morsedec.h.

◆ connection()

template<class mapcomp , class cubetype , class cubsettype >

const cubsettype & MorseDecomposition< mapcomp, cubetype, cubsettype >::connection	(	int	n,
		int	m
	)		const

inline

Returns the connection between the given sets.

Throws an exception if there is no connection or wrong numbers.

Definition at line 929 of file morsedec.h.

◆ copyall()

template<class mapcomp , class cubetype , class cubsettype >

void MorseDecomposition< mapcomp, cubetype, cubsettype >::copyall ( const MorseDecomposition< mapcomp, cubetype, cubsettype > & m )

inlineprivate

Copy all the data (used in the copy constructor and operator =).

Definition at line 488 of file morsedec.h.

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

◆ count()

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::count

inline

Returns the number of Morse sets.

Definition at line 823 of file morsedec.h.

◆ cubsetdistance()

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::cubsetdistance	(	const cubsettype &	X,
		const cubsettype &	Y,
		bool	minimum
	)

inlinestaticprivate

Returns the approximate distance between the two cubical sets.

If minimum is set to true, then computes the minimal distance between any pair of cubes, one taken from X, the other from Y. If minimum is set to false, then computes the maximal distance of any cube in X from the set Y, that is, how far X is from Y (warning: the latter relation is not symmetric!) Note: This computation may take some time for large sets.

Definition at line 716 of file morsedec.h.

◆ deleteall()

template<class mapcomp , class cubetype , class cubsettype >

void MorseDecomposition< mapcomp, cubetype, cubsettype >::deleteall	(	int	firstnumber,
		int	lastnumber
	)

inlineprivate

Release the memory (used in the destructor and copy constructor).

Optionally, delete only Morse decompositions data for Morse sets whose numbers are greater or equal the given number.

Definition at line 347 of file morsedec.h.

◆ distance() [1/2]

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::distance	(	int	n,
		int	m
	)		const

inline

Returns the approximate distance between the two Morse sets.

Warning: This computation may take some time for large sets. Note: The values returned by this function are tabulated, and are not updated when the Morse sets are modified with the 'add' function. Call with (-1,-1) to reset the tabulation.

Definition at line 847 of file morsedec.h.

◆ distance() [2/2]

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::distance	(	int	n,
		int	m,
		int	k
	)		const

inline

Returns the approximate maximal distance of a cube in the orbit that connects the sets n and m (in either direction) from the k-th Morse set, i.e., how far the orbit is from the set.

Note: This computation may take some time for large sets.

Definition at line 939 of file morsedec.h.

◆ index()

template<class mapcomp , class cubetype , class cubsettype >

const MorseDecomposition< mapcomp, cubetype, cubsettype >::IndexType & MorseDecomposition< mapcomp, cubetype, cubsettype >::index ( int n ) const

inline

Retrieves the previously computed Conley index of the given Morse set.

Throws an exception if the index has not yet been computed. Note that if the Morse set is chaned, then its index should be computed again using one of the functions above.

Definition at line 1080 of file morsedec.h.

◆ intersection()

template<class mapcomp , class cubetype , class cubsettype >

void MorseDecomposition< mapcomp, cubetype, cubsettype >::intersection	(	const MorseDecomposition< mapcomp, cubetype, cubsettype > &	m,
		const MorseDecomposition< mapcomp, cubetype, cubsettype > &	n
	)

inline

Computes the set-wise intersection of two Morse decompositions.

The Morse decomposition must be initially empty and different from the objects passed as arguments.

Definition at line 1116 of file morsedec.h.

◆ join()

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::join	(	int	n,
		int	m
	)

inline

Joins the two given Morse sets.

Updates the connecting orbits. Resets the Conley index. The new Morse set replaces the n-th one, and the numbers of Morse sets beyond the m-th one are shifted downwards.

Definition at line 1138 of file morsedec.h.

◆ jointrivial()

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::jointrivial	(	int_t	maxsetsize,
		int_t	maxconnsize,
		int	maxdistance
	)

inline

Joins small Morse sets with trivial indices with Morse sets whose indices are nontrivial.

Only sets whose size, as well as the size of the connecting orbit is below the given limits are joined, provided their distance is also limited.

Definition at line 1321 of file morsedec.h.

◆ loadfromfiles()

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::loadfromfiles ( const char * prefix = 0 )

inline

Load the Morse sets and connecting orbits from files.

Definition at line 1585 of file morsedec.h.

◆ makegraph()

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::makegraph ( chomp::homology::diGraph<> & g ) const

inline

Creates a graph representation of the Morse decomposition.

Each Morse set corresponds to a vertex, and each connecting orbit gives rise to a corresponding edge. The graph given as an argument must be initially empty.

Definition at line 1011 of file morsedec.h.

◆ operator=()

template<class mapcomp , class cubetype , class cubsettype >

MorseDecomposition< mapcomp, cubetype, cubsettype > & MorseDecomposition< mapcomp, cubetype, cubsettype >::operator= ( const MorseDecomposition< mapcomp, cubetype, cubsettype > & m )

inline

The assignment operator.

Definition at line 563 of file morsedec.h.

◆ operator[]() [1/2]

template<class mapcomp , class cubetype , class cubsettype >

cubsettype & MorseDecomposition< mapcomp, cubetype, cubsettype >::operator[] ( int n )

inline

Returns the n-th Morse set.

Throws an exception in case of a wrong number.

Definition at line 838 of file morsedec.h.

◆ operator[]() [2/2]

template<class mapcomp , class cubetype , class cubsettype >

const cubsettype & MorseDecomposition< mapcomp, cubetype, cubsettype >::operator[] ( int n ) const

inline

Returns the n-th Morse set.

Throws an exception in case of a wrong number.

Definition at line 829 of file morsedec.h.

◆ passthru() [1/2]

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::passthru ( chomp::homology::hashedset< int > & setsToRemove )

inline

Make connecting orbits pass through the given Morse sets, because their invariant part is in fact empty.

The Morse sets are deleted and their contents are included in the corresponding connecting orbits. Important: The array must contain the numbers of the Morse sets in the ascending order.

Definition at line 1301 of file morsedec.h.

◆ passthru() [2/2]

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::passthru ( int n )

inline

Make connecting orbits pass through the given Morse set, because its invariant part is in fact empty.

The Morse set is deleted and its contents is included in connecting orbits.

Definition at line 1236 of file morsedec.h.

◆ savetofiles()

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::savetofiles ( const char * prefix = 0 )

inline

Save the Morse sets and connecting orbits to files.

Set numbers are attached to the given prefix. Connections are numbered N-M.

Definition at line 1517 of file morsedec.h.

◆ setConnDefined()

template<class mapcomp , class cubetype , class cubsettype >

void MorseDecomposition< mapcomp, cubetype, cubsettype >::setConnDefined ( void )

inlineprivate

Initializes the connection array so that connections are defined from this point on.

Definition at line 323 of file morsedec.h.

◆ setindex()

template<class mapcomp , class cubetype , class cubsettype >

const MorseDecomposition< mapcomp, cubetype, cubsettype >::IndexType & MorseDecomposition< mapcomp, cubetype, cubsettype >::setindex	(	int	n,
		const typename MorseDecomposition< mapcomp, cubetype, cubsettype >::IndexType &	ind
	)

inline

Sets the index of the given Morse set to the apriori known one.

Does not compute it, but verifies if it is nontrivial.

Definition at line 1090 of file morsedec.h.

◆ setnumber()

template<class mapcomp , class cubetype , class cubsettype >

int MorseDecomposition< mapcomp, cubetype, cubsettype >::setnumber ( int n )

inline

Changes (increases or decreases) the number of Morse sets.

Definition at line 767 of file morsedec.h.

◆ swap()

template<class mapcomp , class cubetype , class cubsettype >

void MorseDecomposition< mapcomp, cubetype, cubsettype >::swap ( MorseDecomposition< mapcomp, cubetype, cubsettype > & m )

inline

Swaps the internal data with another object (note: both must be initialized with the same map computation object reference).

Definition at line 580 of file morsedec.h.

◆ trivial()

template<class mapcomp , class cubetype , class cubsettype >

bool MorseDecomposition< mapcomp, cubetype, cubsettype >::trivial ( int n ) const

inline

Returns true if the Conley index of the given Morse set is trivial, and false if either nontrivial or not yet computed.

Definition at line 1107 of file morsedec.h.

Member Data Documentation

◆ conn

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

chomp::homology::multitable<chomp::homology::multitable<cubsettype *> > MorseDecomposition< mapcomp, cubetype, cubsettype >::conn

private

Connecting orbits from one set to another.

There is no connection iff the pointer is zero.

Definition at line 261 of file morsedec.h.

◆ connDefined

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

bool MorseDecomposition< mapcomp, cubetype, cubsettype >::connDefined

private

Were any connections defined?

Definition at line 264 of file morsedec.h.

◆ dist

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

chomp::homology::multitable<chomp::homology::multitable<int> > MorseDecomposition< mapcomp, cubetype, cubsettype >::dist

mutableprivate

Tabulated distances between the Morse sets.

Definition at line 268 of file morsedec.h.

◆ distconn

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

chomp::homology::multitable<chomp::homology::multitable<int> > MorseDecomposition< mapcomp, cubetype, cubsettype >::distconn

mutableprivate

Tabulated values of the function "conndistance".

Definition at line 275 of file morsedec.h.

◆ distconnDefined

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

bool MorseDecomposition< mapcomp, cubetype, cubsettype >::distconnDefined

mutableprivate

Were any values of conn distance defined?

Definition at line 278 of file morsedec.h.

◆ distDefined

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

bool MorseDecomposition< mapcomp, cubetype, cubsettype >::distDefined

mutableprivate

Were any distances computed?

Definition at line 271 of file morsedec.h.

◆ indices

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

chomp::homology::multitable<IndexType *> MorseDecomposition< mapcomp, cubetype, cubsettype >::indices

private

The Conley indices of the Morse sets.

Definition at line 252 of file morsedec.h.

◆ M

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

const mapcomp& MorseDecomposition< mapcomp, cubetype, cubsettype >::M

The map computation class.

Definition at line 105 of file morsedec.h.

◆ nontrivial

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

chomp::homology::multitable<int> MorseDecomposition< mapcomp, cubetype, cubsettype >::nontrivial

private

The table that stores the information on whether the indices are trivial or not: -1 = unknown, 0 = trivial, 1 = nontrivial.

Definition at line 256 of file morsedec.h.

◆ nsets

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

int MorseDecomposition< mapcomp, cubetype, cubsettype >::nsets

private

The number of Morse sets.

Definition at line 246 of file morsedec.h.

◆ sets

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

chomp::homology::multitable<cubsettype *> MorseDecomposition< mapcomp, cubetype, cubsettype >::sets

private

The Morse sets.

Definition at line 249 of file morsedec.h.

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

morsedec.h

Public Types

Public Member Functions

Public Attributes

Private Types

Private Member Functions

Static Private Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ CubeType

◆ cubmaptype

◆ CubSetType

◆ IndexType

◆ MapCompType

◆ PairType

Constructor & Destructor Documentation

◆ MorseDecomposition() [1/2]

◆ ~MorseDecomposition()

◆ MorseDecomposition() [2/2]

Member Function Documentation

◆ add()

◆ addconn() [1/2]

◆ addconn() [2/2]

◆ addone()

◆ adjacent()

◆ compute() [1/2]

◆ compute() [2/2]

◆ computed()

◆ conndistance()

◆ connected()

◆ connection()

◆ copyall()

◆ count()

◆ cubsetdistance()

◆ deleteall()

◆ distance() [1/2]

◆ distance() [2/2]

◆ index()

◆ intersection()

◆ join()

◆ jointrivial()

◆ loadfromfiles()

◆ makegraph()

◆ operator=()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ passthru() [1/2]

◆ passthru() [2/2]

◆ savetofiles()

◆ setConnDefined()

◆ setindex()

◆ setnumber()

◆ swap()

◆ trivial()

Member Data Documentation

◆ conn

◆ connDefined

◆ dist

◆ distconn

◆ distconnDefined

◆ distDefined

◆ indices

◆ M

◆ nontrivial

◆ nsets

◆ sets