PersistentLaplacians Namespace Reference

Classes
class	FilteredBoundaryMatrix
class	PersistentLaplacian
class	schur
class	ortho
class	selfadjoint
class	eigensolver
class	bdcsvd
struct	timer
struct	Profile
class	PersistentAlphaLaplacian
class	PersistentDirectedFlagLaplacian
class	PersistentRipsLaplacian
class	PersistentSheafLaplacian
class	sheaf_simplex_tree

Typedefs
using	Simplex_tree = Gudhi::Simplex_tree< Gudhi::Simplex_tree_options_default >
using	Filtration_value = Simplex_tree::Filtration_value
using	Distance_matrix = std::vector< std::vector< Filtration_value > >

Functions
void	round_zeros (spectra_vec &inout, spectra_type threshold)
void	print_full_matrix_precise (SparseMatrixInt m)
void	print_full_matrix_precise (Eigen::MatrixXi m)
void	print_full_matrix_precise (SparseMatrix_PL m)
void	print_full_matrix_precise (DenseMatrix_PL m)
void	print_vector_precise (Eigen::VectorXd v)
void	print_vector_precise (Eigen::VectorXf v)
void	print_spectra (std::vector< std::tuple< int, filtration_type, filtration_type, std::vector< spectra_type >>> spectra)
void	reindex_boundaries_map (std::vector< std::vector< std::tuple< int64_t, int64_t, int >>> &boundaries_triples, std::vector< SparseMatrixInt > &reindexed_boundaries, int dummy_remove)
void	reindex_boundaries (std::vector< std::vector< std::tuple< int, int, int >>> &boundaries_triples, std::vector< SparseMatrixInt > &reindexed_boundaries, int dim_0_rows)
void	alpha_points (std::vector< Point > &points, int dim_max, std::vector< std::vector< std::tuple< int, int, int >>> &boundaries_triples, std::vector< std::vector< filtration_type >> &filtrations)
void	alpha_OFF (const char *filename, int dim_max, std::vector< std::vector< std::tuple< int, int, int >>> &boundaries_triples, std::vector< std::vector< filtration_type >> &filtrations)
Vertex_list	from (const Cell_handle &ch)
Vertex_list	from (const Facet &fct)
Vertex_list	from (const Edge &edg)
Vertex_list	from (const Alpha_shape_3::Vertex_handle &vh)
void	get_boundaries_and_filtrations (Simplex_tree simplex_tree, int dim_max, std::vector< std::vector< std::tuple< int, int, int >>> &boundaries_triples, std::vector< std::vector< filtration_type >> &filtrations)
void	print_full_matrix_precise (Eigen::MatrixXf m)
void	print_vector_precise (spectra_vec v)
PersistentLaplacians::sheaf_simplex_tree	rips_sheaf_simplex_tree (std::vector< std::vector< float >> points, Filtration_value max_length, std::function< float(Simplex_tree::Simplex_handle, Simplex_tree::Simplex_handle, sheaf_simplex_tree &)> restriction)

Typedef Documentation

Distance_matrix

using PersistentLaplacians::Distance_matrix = typedef std::vector<std::vector<Filtration_value> >

Filtration_value

using PersistentLaplacians::Filtration_value = typedef Simplex_tree::Filtration_value

Simplex_tree

using PersistentLaplacians::Simplex_tree = typedef Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_default>

Function Documentation

alpha_OFF()

void PersistentLaplacians::alpha_OFF	(	const char *	filename,
		int	dim_max,
		std::vector< std::vector< std::tuple< int, int, int >>> &	boundaries_triples,
		std::vector< std::vector< filtration_type >> &	filtrations
	)

alpha_points()

void PersistentLaplacians::alpha_points	(	std::vector< Point > &	points,
		int	dim_max,
		std::vector< std::vector< std::tuple< int, int, int >>> &	boundaries_triples,
		std::vector< std::vector< filtration_type >> &	filtrations
	)

from() [1/4]

Vertex_list PersistentLaplacians::from

(

const Alpha_shape_3::Vertex_handle &

vh

)

from() [2/4]

Vertex_list PersistentLaplacians::from

(

const Cell_handle &

ch

)

from() [3/4]

Vertex_list PersistentLaplacians::from

(

const Edge &

edg

)

from() [4/4]

Vertex_list PersistentLaplacians::from

(

const Facet &

fct

)

get_boundaries_and_filtrations()

void PersistentLaplacians::get_boundaries_and_filtrations	(	Simplex_tree	simplex_tree,
		int	dim_max,
		std::vector< std::vector< std::tuple< int, int, int >>> &	boundaries_triples,
		std::vector< std::vector< filtration_type >> &	filtrations
	)

print_full_matrix_precise() [1/5]

void PersistentLaplacians::print_full_matrix_precise

(

DenseMatrix_PL

m

)

print_full_matrix_precise() [2/5]

void PersistentLaplacians::print_full_matrix_precise

(

Eigen::MatrixXf

m

)

print_full_matrix_precise() [3/5]

void PersistentLaplacians::print_full_matrix_precise

(

Eigen::MatrixXi

m

)

print_full_matrix_precise() [4/5]

void PersistentLaplacians::print_full_matrix_precise

(

SparseMatrix_PL

m

)

print_full_matrix_precise() [5/5]

void PersistentLaplacians::print_full_matrix_precise

(

SparseMatrixInt

m

)

print_spectra()

void PersistentLaplacians::print_spectra

(

std::vector< std::tuple< int, filtration_type, filtration_type, std::vector< spectra_type >>>

spectra

)

print_vector_precise() [1/3]

void PersistentLaplacians::print_vector_precise

(

Eigen::VectorXd

v

)

print_vector_precise() [2/3]

void PersistentLaplacians::print_vector_precise

(

Eigen::VectorXf

v

)

print_vector_precise() [3/3]

void PersistentLaplacians::print_vector_precise

(

spectra_vec

v

)

reindex_boundaries()

void PersistentLaplacians::reindex_boundaries	(	std::vector< std::vector< std::tuple< int, int, int >>> &	boundaries_triples,
		std::vector< SparseMatrixInt > &	reindexed_boundaries,
		int	dim_0_rows
	)

reindex_boundaries_map()

void PersistentLaplacians::reindex_boundaries_map	(	std::vector< std::vector< std::tuple< int64_t, int64_t, int >>> &	boundaries_triples,
		std::vector< SparseMatrixInt > &	reindexed_boundaries,
		int	dummy_remove
	)

rips_sheaf_simplex_tree()

PersistentLaplacians::sheaf_simplex_tree PersistentLaplacians::rips_sheaf_simplex_tree	(	std::vector< std::vector< float >>	points,
		Filtration_value	max_length,
		std::function< float(Simplex_tree::Simplex_handle, Simplex_tree::Simplex_handle, sheaf_simplex_tree &)>	restriction
	)

round_zeros()

void PersistentLaplacians::round_zeros	(	spectra_vec &	inout,
		spectra_type	threshold
	)