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

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. More...

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 [6]

Member Function Documentation

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

inline

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

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

inline

Set x <- x + w * y

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

inline

Returns y * w

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

inline

Returns -x * y.

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