ModularTraits Concept Reference

Definition

A model of ModularTraits is associated to a specific Type. In case this associated type is a model of Modularizable, this is indicated by the Boolean tag ModularTraits::Is_modularizable. The mapping into the Residue_type is provided by the functor ModularTraits::Modular_image.

Has Models:

CGAL::Modular_traits<T>

See also

CGAL::Residue

Modularizable

Concepts
concept	ModularImage
	This AdaptableUnaryFunction computes the modular image of the given value with respect to a homomorphism \( \varphi\) from the ModularTraits::Type into the ModularTraits::Residue_type. More...
concept	ModularImageRepresentative
	This AdaptableUnaryFunction returns a representative in the original type of a given modular image. More precisely, it implements the right inverse of a proper restriction of the homomorphism \( \varphi\), which is implemented by ModularTraits::ModularImage. More...

Types
A model of ModularTraits is supposed to provide:
typedef unspecified_type	Type
	The associated type.
typedef unspecified_type	Is_modularizable
	Tag indicating whether the associated type is modularizable. More...
typedef unspecified_type	Residue_type
	The type of the modular image. More...

Functors
In case the associated type is a model of Modularizable all functors are provided. In case a functor is not provided, it is set to CGAL::Null_functor.
typedef unspecified_type	Modular_image
	A model of ModularTraits::ModularImage
typedef unspecified_type	Modular_image_representative
	A model of ModularTraits::ModularImageRepresentative

Member Typedef Documentation

Is_modularizable

typedef unspecified_type ModularTraits::Is_modularizable

Tag indicating whether the associated type is modularizable.

This is either CGAL::Tag_true or CGAL::Tag_false.

Residue_type

typedef unspecified_type ModularTraits::Residue_type

The type of the modular image.

In case the associated type is not a model of Modularizable this is undefined.