Class representing an element of a multi-field. If each instantiation of the class can represent another element, they all share the same characteristics. That is if the characteristics are set for one, they will be set for all the others. The characteristics can be set before instantiating the elements with the static Shared_multi_field_element::initialize method. More...

#include <gudhi/Fields/Multi_field_shared.h>

Public Types
using	Element = mpz_class

using	Characteristic = Element

Public Member Functions
	Shared_multi_field_element ()
	Default constructor. Sets the element to 0.

	Shared_multi_field_element (Element element)
	Constructor setting the element to the given value. More...

	Shared_multi_field_element (const Shared_multi_field_element &toCopy)
	Copy constructor. More...

	Shared_multi_field_element (Shared_multi_field_element &&toMove) noexcept
	Move constructor. More...

Shared_multi_field_element &	operator= (Shared_multi_field_element other)
	Assign operator.

Shared_multi_field_element &	operator= (const Element &value)
	Assign operator.

	operator unsigned int () const
	Casts the element into an unsigned int.

	operator mpz_class () const
	Casts the element into a mpz_class.

Shared_multi_field_element	get_inverse () const
	Returns the inverse of the element in the multi-field, see [6]. More...

std::pair< Shared_multi_field_element, Characteristic >	get_partial_inverse (const Characteristic &productOfCharacteristics) const
	Returns the inverse of the element with respect to a sub-product of the characteristics in the multi-field, see [6]. More...

Element	get_value () const
	Returns the value of the element. More...

Static Public Member Functions
static void	initialize (unsigned int minimum, unsigned int maximum)
	Initialize the multi-field to the characteristics (primes) contained in the given interval. Should be called first before constructing the field elements. More...

static Shared_multi_field_element	get_additive_identity ()
	Returns the additive identity of a field. More...

static Shared_multi_field_element	get_multiplicative_identity ()
	Returns the multiplicative identity of a field. More...

static Shared_multi_field_element	get_partial_multiplicative_identity (const Characteristic &productOfCharacteristics)
	Returns the partial multiplicative identity of the multi-field from the given product. See [6] for more details. More...

static Characteristic	get_characteristic ()
	Returns the product of all characteristics. More...

Friends
void	operator+= (Shared_multi_field_element &f1, Shared_multi_field_element const &f2)
	operator+=

Shared_multi_field_element	operator+ (Shared_multi_field_element f1, Shared_multi_field_element const &f2)
	operator+

void	operator+= (Shared_multi_field_element &f, Element const v)
	operator+=

Shared_multi_field_element	operator+ (Shared_multi_field_element f, Element const v)
	operator+

Element	operator+ (Element v, Shared_multi_field_element const &f)
	operator+

void	operator-= (Shared_multi_field_element &f1, Shared_multi_field_element const &f2)
	operator-=

Shared_multi_field_element	operator- (Shared_multi_field_element f1, Shared_multi_field_element const &f2)
	operator-

void	operator-= (Shared_multi_field_element &f, Element const v)
	operator-=

Shared_multi_field_element	operator- (Shared_multi_field_element f, Element const v)
	operator-

Element	operator- (Element v, Shared_multi_field_element const &f)
	operator-

void	*operator=** (Shared_multi_field_element &f1, Shared_multi_field_element const &f2)
	operator*=

Shared_multi_field_element	operator* (Shared_multi_field_element f1, Shared_multi_field_element const &f2)
	operator*

void	*operator=** (Shared_multi_field_element &f, Element const v)
	operator*=

Shared_multi_field_element	operator* (Shared_multi_field_element f, Element const v)
	operator*

Element	operator* (Element v, Shared_multi_field_element const &f)
	operator*

bool	operator== (const Shared_multi_field_element &f1, const Shared_multi_field_element &f2)
	operator==

bool	operator== (const Element &v, const Shared_multi_field_element &f)
	operator==

bool	operator== (const Shared_multi_field_element &f, const Element &v)
	operator==

bool	operator!= (const Shared_multi_field_element &f1, const Shared_multi_field_element &f2)
	operator!=

bool	operator!= (const Element &v, const Shared_multi_field_element &f)
	operator!=

bool	operator!= (const Shared_multi_field_element &f, const Element &v)
	operator!=

void	swap (Shared_multi_field_element &f1, Shared_multi_field_element &f2)
	Swap operator.

Detailed Description

Class representing an element of a multi-field. If each instantiation of the class can represent another element, they all share the same characteristics. That is if the characteristics are set for one, they will be set for all the others. The characteristics can be set before instantiating the elements with the static Shared_multi_field_element::initialize method.

Member Typedef Documentation

◆ Characteristic

using Gudhi::persistence_fields::Shared_multi_field_element::Characteristic = Element

Type for the field characteristic.

◆ Element

using Gudhi::persistence_fields::Shared_multi_field_element::Element = mpz_class

Type for the elements in the field.

Constructor & Destructor Documentation

◆ Shared_multi_field_element() [1/3]

Gudhi::persistence_fields::Shared_multi_field_element::Shared_multi_field_element ( Element element )

inline

Constructor setting the element to the given value.

Parameters

element Value of the element.

◆ Shared_multi_field_element() [2/3]

Gudhi::persistence_fields::Shared_multi_field_element::Shared_multi_field_element ( const Shared_multi_field_element & toCopy )

inline

Copy constructor.

Parameters

toCopy Element to copy.

◆ Shared_multi_field_element() [3/3]

Gudhi::persistence_fields::Shared_multi_field_element::Shared_multi_field_element ( Shared_multi_field_element && toMove )

inlinenoexcept

Move constructor.

Parameters

toMove Element to move.

Member Function Documentation

◆ get_additive_identity()

Shared_multi_field_element Gudhi::persistence_fields::Shared_multi_field_element::get_additive_identity ( )

inlinestatic

Returns the additive identity of a field.

Returns: The additive identity of a field.

◆ get_characteristic()

Shared_multi_field_element::Characteristic Gudhi::persistence_fields::Shared_multi_field_element::get_characteristic ( )

inlinestatic

Returns the product of all characteristics.

Returns: The product of all characteristics.

◆ get_inverse()

Shared_multi_field_element Gudhi::persistence_fields::Shared_multi_field_element::get_inverse ( ) const

inline

Returns the inverse of the element in the multi-field, see [6].

Returns: The inverse.

◆ get_multiplicative_identity()

Shared_multi_field_element Gudhi::persistence_fields::Shared_multi_field_element::get_multiplicative_identity ( )

inlinestatic

Returns the multiplicative identity of a field.

Returns: The multiplicative identity of a field.

◆ get_partial_inverse()

std::pair< Shared_multi_field_element, Shared_multi_field_element::Characteristic > Gudhi::persistence_fields::Shared_multi_field_element::get_partial_inverse ( const Characteristic & productOfCharacteristics ) const

inline

Returns the inverse of the element with respect to a sub-product of the characteristics in the multi-field, see [6].

Parameters

productOfCharacteristics Sub-product of the characteristics.

Returns: Pair of the inverse and the characteristic the inverse corresponds to.

◆ get_partial_multiplicative_identity()

Shared_multi_field_element Gudhi::persistence_fields::Shared_multi_field_element::get_partial_multiplicative_identity ( const Characteristic & productOfCharacteristics )

inlinestatic

Returns the partial multiplicative identity of the multi-field from the given product. See [6] for more details.

Parameters

productOfCharacteristics Product of the different characteristics to take into account in the multi-field.

Returns: The partial multiplicative identity of the multi-field.

◆ get_value()

Shared_multi_field_element::Element Gudhi::persistence_fields::Shared_multi_field_element::get_value ( ) const

inline

Returns the value of the element.

Returns: Value of the element.

◆ initialize()

void Gudhi::persistence_fields::Shared_multi_field_element::initialize	(	unsigned int	minimum,
		unsigned int	maximum
	)

inlinestatic

Initialize the multi-field to the characteristics (primes) contained in the given interval. Should be called first before constructing the field elements.

Parameters

minimum	Lowest value in the interval.
maximum	Highest value in the interval.

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

include/gudhi/Fields/Multi_field_shared.h

Public Types

Public Member Functions

Static Public Member Functions

Friends

Detailed Description

Member Typedef Documentation

◆ Characteristic

◆ Element

Constructor & Destructor Documentation

◆ Shared_multi_field_element() [1/3]

◆ Shared_multi_field_element() [2/3]

◆ Shared_multi_field_element() [3/3]

Member Function Documentation

◆ get_additive_identity()

◆ get_characteristic()

◆ get_inverse()

◆ get_multiplicative_identity()

◆ get_partial_inverse()

◆ get_partial_multiplicative_identity()

◆ get_value()

◆ initialize()