belfem::mesh::SimplicialComplex Class Reference

Simplicial complex reduction engine underlying the homology and cohomology computation. More...

#include <cl_SimplicialComplex.hpp>

Public Member Functions
	SimplicialComplex (Mesh *aMesh, bool aPeriodicity=false)
	~SimplicialComplex ()
void	reset ()
void	create_complex (Mesh *aMesh, bool aPeriodicity)
void	reduce_complexCCR ()
void	coreduce_complexCCR ()
void	reduce_complexCCR_old ()
void	coreduce_complexCCR_old ()
void	reduce_pair (const uint k, const uint a, Map< index_t, Chain * >::const_iterator &bit, const int aCoeff)
void	coreduce_pair (const uint k, const uint a, Map< index_t, Cochain * >::const_iterator &bit, const int aCoeff)
void	pReduce (const uint p)
void	pCombine (const uint p)
void	pGeneralizedCombine (const uint p)
void	reduceOmit ()
void	reduce_complexPellikka ()
void	reduce_complexPellikkaGeneralized ()
void	pCoreduce (const uint p)
void	pCocombine (const uint p)
void	pGeneralizedCocombine (const uint p)
void	coreduceOmit ()
void	coreduce_complexPellikka ()
void	coreduce_complexPellikkaGeneralized ()
void	remove_kchainFromMap (const uint k, const index_t aID)
void	remove_kcochainFromMap (const uint k, const index_t aID)
uint	number_of_0simplices () const
uint	number_of_1simplices () const
uint	number_of_2simplices () const
uint	number_of_ksimplices (const uint k) const
uint	number_of_kcosimplices (const uint k) const
Chain *	get_kchain (const uint k, const index_t aID)
Cochain *	get_kcochain (const uint k, const index_t aID)
Map< index_t, Chain * >	get_kchainMap (const uint k)
Map< index_t, Cochain * >	get_kcochainMap (const uint k)
Chain *	boundary_of_kchain (const uint k, const index_t aID)
Cell< Matrix< int > >	createMatrixFromBoundaryMap ()
Cell< Matrix< int > >	createMatrixFromCoboundaryMap ()
void	print_kchains (const uint k)
void	create_kComplexField (const uint k, Mesh *aMesh, string aFieldName)
void	cocreate_kComplexField (const uint k, Mesh *aMesh, string aFieldName)
const DynamicBitset &	original_edges () const

Detailed Description

Simplicial complex reduction engine underlying the homology and cohomology computation.

See also

Cohomology Computation Algorithms in BELFEM

Constructor & Destructor Documentation

SimplicialComplex()

belfem::mesh::SimplicialComplex::SimplicialComplex	(	Mesh *	aMesh,
		bool	aPeriodicity = false )

~SimplicialComplex()

belfem::mesh::SimplicialComplex::~SimplicialComplex

(

)

Member Function Documentation

boundary_of_kchain()

Chain * belfem::mesh::SimplicialComplex::boundary_of_kchain	(	const uint	k,
		const index_t	aID )

cocreate_kComplexField()

void belfem::mesh::SimplicialComplex::cocreate_kComplexField	(	const uint	k,
		Mesh *	aMesh,
		string	aFieldName )

coreduce_complexCCR()

void belfem::mesh::SimplicialComplex::coreduce_complexCCR

(

)

coreduce_complexCCR_old()

void belfem::mesh::SimplicialComplex::coreduce_complexCCR_old

(

)

coreduce_complexPellikka()

void belfem::mesh::SimplicialComplex::coreduce_complexPellikka

(

)

coreduce_complexPellikkaGeneralized()

void belfem::mesh::SimplicialComplex::coreduce_complexPellikkaGeneralized

(

)

coreduce_pair()

void belfem::mesh::SimplicialComplex::coreduce_pair	(	const uint	k,
		const uint	a,
		Map< index_t, Cochain * >::const_iterator &	bit,
		const int	aCoeff )

coreduceOmit()

void belfem::mesh::SimplicialComplex::coreduceOmit

(

)

create_complex()

void belfem::mesh::SimplicialComplex::create_complex	(	Mesh *	aMesh,
		bool	aPeriodicity )

create_kComplexField()

void belfem::mesh::SimplicialComplex::create_kComplexField	(	const uint	k,
		Mesh *	aMesh,
		string	aFieldName )

createMatrixFromBoundaryMap()

Cell< Matrix< int > > belfem::mesh::SimplicialComplex::createMatrixFromBoundaryMap

(

)

createMatrixFromCoboundaryMap()

Cell< Matrix< int > > belfem::mesh::SimplicialComplex::createMatrixFromCoboundaryMap

(

)

get_kchain()

Chain * belfem::mesh::SimplicialComplex::get_kchain	(	const uint	k,
		const index_t	aID )

get_kchainMap()

Map< index_t, Chain * > belfem::mesh::SimplicialComplex::get_kchainMap

(

const uint

k

)

get_kcochain()

Cochain * belfem::mesh::SimplicialComplex::get_kcochain	(	const uint	k,
		const index_t	aID )

get_kcochainMap()

Map< index_t, Cochain * > belfem::mesh::SimplicialComplex::get_kcochainMap

(

const uint

k

)

number_of_0simplices()

uint belfem::mesh::SimplicialComplex::number_of_0simplices ( ) const

inline

number_of_1simplices()

uint belfem::mesh::SimplicialComplex::number_of_1simplices ( ) const

inline

number_of_2simplices()

uint belfem::mesh::SimplicialComplex::number_of_2simplices ( ) const

inline

number_of_kcosimplices()

uint belfem::mesh::SimplicialComplex::number_of_kcosimplices ( const uint k ) const

inline

number_of_ksimplices()

uint belfem::mesh::SimplicialComplex::number_of_ksimplices ( const uint k ) const

inline

original_edges()

const DynamicBitset & belfem::mesh::SimplicialComplex::original_edges ( ) const

inline

pCocombine()

void belfem::mesh::SimplicialComplex::pCocombine

(

const uint

p

)

pCombine()

void belfem::mesh::SimplicialComplex::pCombine

(

const uint

p

)

pCoreduce()

void belfem::mesh::SimplicialComplex::pCoreduce ( const uint p )

inline

pGeneralizedCocombine()

void belfem::mesh::SimplicialComplex::pGeneralizedCocombine

(

const uint

p

)

pGeneralizedCombine()

void belfem::mesh::SimplicialComplex::pGeneralizedCombine

(

const uint

p

)

pReduce()

void belfem::mesh::SimplicialComplex::pReduce

(

const uint

p

)

print_kchains()

void belfem::mesh::SimplicialComplex::print_kchains

(

const uint

k

)

reduce_complexCCR()

void belfem::mesh::SimplicialComplex::reduce_complexCCR

(

)

reduce_complexCCR_old()

void belfem::mesh::SimplicialComplex::reduce_complexCCR_old

(

)

reduce_complexPellikka()

void belfem::mesh::SimplicialComplex::reduce_complexPellikka

(

)

reduce_complexPellikkaGeneralized()

void belfem::mesh::SimplicialComplex::reduce_complexPellikkaGeneralized

(

)

reduce_pair()

void belfem::mesh::SimplicialComplex::reduce_pair	(	const uint	k,
		const uint	a,
		Map< index_t, Chain * >::const_iterator &	bit,
		const int	aCoeff )

reduceOmit()

void belfem::mesh::SimplicialComplex::reduceOmit

(

)

remove_kchainFromMap()

void belfem::mesh::SimplicialComplex::remove_kchainFromMap	(	const uint	k,
		const index_t	aID )

remove_kcochainFromMap()

void belfem::mesh::SimplicialComplex::remove_kcochainFromMap ( const uint k, const index_t aID )

inline

reset()

void belfem::mesh::SimplicialComplex::reset

(

)

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

• src/homology/cl_SimplicialComplex.hpp
• src/homology/cl_SimplicialComplex.cpp