PersistentLaplacians::Filtered_Boundary_Matrix< FBMcoeff > Class Template Reference

#include <Filtered_Boundary_Matrix.hpp>

Public Member Functions
	Filtered_Boundary_Matrix (Eigen::SparseMatrix< FBMcoeff, Eigen::ColMajor > _matrix, std::vector< filtration_type > _domain_filtrations, std::vector< filtration_type > _range_filtrations)
std::vector< filtration_type >	get_domain_filtrations ()
std::vector< filtration_type >	get_range_filtrations ()
Filtered_Boundary_Matrix	transpose ()
int	index_of_filtration (bool use_domain_filtrations, filtration_type a)
int	get_low (SparseMatrix_PL &matrix, int col_index)
void	submatrix_at_filtration (filtration_type a, Eigen::SparseMatrix< FBMcoeff, Eigen::ColMajor > &M)
std::tuple< SparseMatrix_PL, SparseMatrix_PL, std::vector< int >, int >	reduce (int a_row_index, int b_row_index, int b_col_index)
void	print_range_filtration ()
void	print_domain_filtration ()
void	print ()

Detailed Description

template<typename FBMcoeff = int>
class PersistentLaplacians::Filtered_Boundary_Matrix< FBMcoeff >

Class for storing, manipulating, and retrieving the boundary matrix at different filtration levels

Constructor & Destructor Documentation

Filtered_Boundary_Matrix()

template<typename FBMcoeff = int>

PersistentLaplacians::Filtered_Boundary_Matrix< FBMcoeff >::Filtered_Boundary_Matrix ( Eigen::SparseMatrix< FBMcoeff, Eigen::ColMajor >  _matrix, std::vector< filtration_type >  _domain_filtrations, std::vector< filtration_type >  _range_filtrations  )

inline

Constructor. Note: dimensions of filtrations and matrix must match.

Parameters

_matrix	boundary matrix d_n
_domain_filtrations	filtrations of n-simplices
_range_filtrations	filtrations of (n-1)-simplices

Member Function Documentation

get_domain_filtrations()

template<typename FBMcoeff = int>

std::vector<filtration_type> PersistentLaplacians::Filtered_Boundary_Matrix< FBMcoeff >::get_domain_filtrations ( )

inline

Get the filtration values of n-simplices

get_low()

template<typename FBMcoeff = int>

int PersistentLaplacians::Filtered_Boundary_Matrix< FBMcoeff >::get_low ( SparseMatrix_PL &  matrix, int  col_index  )

inline

get_range_filtrations()

template<typename FBMcoeff = int>

std::vector<filtration_type> PersistentLaplacians::Filtered_Boundary_Matrix< FBMcoeff >::get_range_filtrations ( )

inline

Get the filtration values of (n-1)-simplices

index_of_filtration()

template<typename FBMcoeff = int>

int PersistentLaplacians::Filtered_Boundary_Matrix< FBMcoeff >::index_of_filtration ( bool  use_domain_filtrations, filtration_type  a  )

inline

Get the largest index where the corresponding filtration value is not more than a. If there are multiple simplices with the same filtration highest value, it will return the largest index.

Parameters

use_domain_filtrations	if true, iterate over the domain filtrations (n-simplices), if false over the range filtrations (n-1)-simplices
a	filtration value

Returns

The largest index where the corresponding filtration value is not more than a.

print()

template<typename FBMcoeff = int>

void PersistentLaplacians::Filtered_Boundary_Matrix< FBMcoeff >::print ( )

inline

Print the underlying matrix for d_n.

print_domain_filtration()

template<typename FBMcoeff = int>

void PersistentLaplacians::Filtered_Boundary_Matrix< FBMcoeff >::print_domain_filtration ( )

inline

Print the filtration values of (n-1)-simplices.

print_range_filtration()

template<typename FBMcoeff = int>

void PersistentLaplacians::Filtered_Boundary_Matrix< FBMcoeff >::print_range_filtration ( )

inline

Print the filtration values of (n-1)-simplices.

reduce()

template<typename FBMcoeff = int>

std::tuple<SparseMatrix_PL,SparseMatrix_PL,std::vector<int>, int> PersistentLaplacians::Filtered_Boundary_Matrix< FBMcoeff >::reduce ( int  a_row_index, int  b_row_index, int  b_col_index  )

inline

submatrix_at_filtration()

template<typename FBMcoeff = int>

void PersistentLaplacians::Filtered_Boundary_Matrix< FBMcoeff >::submatrix_at_filtration ( filtration_type  a, Eigen::SparseMatrix< FBMcoeff, Eigen::ColMajor > &  M  )

inline

Get the largest submatrix (by reference) that does not have corresponding filtration values greater than a.

Parameters

	a	filtration value
[out]	M	the submatrix.

transpose()

template<typename FBMcoeff = int>

Filtered_Boundary_Matrix PersistentLaplacians::Filtered_Boundary_Matrix< FBMcoeff >::transpose ( )

inline

Get the transpose of the boundary matrix, which swaps the domain and range filtrations

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

• /home/jones657/PersistentLaplacians/cpp/include/PersistentLaplacians_headers/core/Filtered_Boundary_Matrix.hpp