Gudhi::persistent_cohomology::Field_Zp Class Reference

Structure representing the coefficient field \(\mathbb{Z}/p\mathbb{Z}\). More...

#include <include/gudhi/Persistent_cohomology/Field_Zp.h>

Public Member Functions
Element	plus_times_equal (const Element &x, const Element &y, const Element &w)
Element	times (const Element &y, const Element &w)
Element	additive_identity () const
	Returns the additive idendity \(0_{\Bbbk}\) of the field.
Element	multiplicative_identity (Element=0) const
	Returns the multiplicative identity \(1_{\Bbbk}\) of the field.
std::pair< Element, Element >	inverse (Element x, Element P)
Element	times_minus (Element x, Element y)
int	characteristic () const
	Returns the characteristic \(p\) of the field.
Public Member Functions inherited from CoefficientField
	CoefficientField ()
Element	characteristic ()
Element	multiplicative_identity ()
Element	additive_identity ()
void	plus_equal (Element x, Element y)

Additional Inherited Members
Public Types inherited from CoefficientField
typedef unspecified	Element
	Type of element of the field.

Detailed Description

Structure representing the coefficient field \(\mathbb{Z}/p\mathbb{Z}\).

Examples

Random_bitmap_cubical_complex.cpp, alpha_rips_persistence_bottleneck_distance.cpp, cech_persistence.cpp, cubical_complex_persistence.cpp, custom_persistence_sort.cpp, distance_matrix_edge_collapse_rips_persistence.cpp, edge_collapse_conserve_persistence.cpp, example_nearest_landmark_table.cpp, periodic_cubical_complex_persistence.cpp, persistence_from_simple_simplex_tree.cpp, plain_homology.cpp, point_cloud_edge_collapse_rips_persistence.cpp, rips_correlation_matrix_persistence.cpp, rips_distance_matrix_persistence.cpp, rips_persistence.cpp, rips_persistence_step_by_step.cpp, rips_persistence_via_boundary_matrix.cpp, sparse_rips_persistence.cpp, strong_witness_persistence.cpp, and weak_witness_persistence.cpp.

Member Function Documentation

inverse()

std::pair< Element, Element > Gudhi::persistent_cohomology::Field_Zp::inverse ( Element x, Element P )

inline

Returns the inverse in the field. Modifies P. ???

plus_times_equal()

Element Gudhi::persistent_cohomology::Field_Zp::plus_times_equal ( const Element & x, const Element & y, const Element & w )

inline

Set x <- x + w * y

times()

Element Gudhi::persistent_cohomology::Field_Zp::times ( const Element & y, const Element & w )

inline

Returns y * w

times_minus()

Element Gudhi::persistent_cohomology::Field_Zp::times_minus ( Element x, Element y )

inline

Returns -x * y.

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

• include/gudhi/Persistent_cohomology/Field_Zp.h