Gudhi::persistent_cohomology::Multi_field Class Reference

Structure representing coefficients in a set of finite fields simultaneously using the chinese remainder theorem. More...

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

Public Member Functions
const Element &	additive_identity () const
	Returns the additive idendity \(0_{\Bbbk}\) of the field.
const Element &	multiplicative_identity () const
	Returns the multiplicative identity \(1_{\Bbbk}\) of the field.
Element	times (const Element &y, const Element &w)
const Element &	characteristic () const
	Returns the characteristic \(p\) of the field.
std::pair< Element, Element >	inverse (Element x, Element QS)
Element	times_minus (const Element &x, const Element &y)
Element	plus_times_equal (const Element &x, const Element &y, const Element &w)
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 coefficients in a set of finite fields simultaneously using the chinese remainder theorem.

Details on the algorithms may be found in [boissonnat:hal-00922572]

Examples

rips_multifield_persistence.cpp.

Member Function Documentation

inverse()

std::pair< Element, Element > Gudhi::persistent_cohomology::Multi_field::inverse ( Element x, Element QS )

inline

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

plus_times_equal()

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

inline

Set x <- x + w * y

times()

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

inline

Returns y * w

times_minus()

Element Gudhi::persistent_cohomology::Multi_field::times_minus ( const Element & x, const 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/Multi_field.h