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

#include <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 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. More...

Detailed Description

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

Member Function Documentation

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

inline

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

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

inline

Set x <- x + w * y

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

inline

Returns y * w

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

inline

Returns -x * y.

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