Definition

A model of RealEmbeddableTraits is associated to a number type Type and reflects the properties of this type with respect to the concept RealEmbeddable.

Has models
: CGAL::Real_embeddable_traits<T>

Types
A model of `RealEmbeddableTraits` is supposed to provide:
typedef unspecified_type	Type
	The associated number type.

typedef unspecified_type	Is_real_embeddable
	Tag indicating whether the associated type is real embeddable.

typedef unspecified_type	Boolean
	This type specifies the return type of the predicates provided by this traits.

typedef unspecified_type	Sign
	This type specifies the return type of the `Sgn` functor.

typedef unspecified_type	Comparison_result
	This type specifies the return type of the `Compare` functor.

Functors
In case the associated type is `RealEmbeddable` all functors are provided. In case a functor is not provided, it is set to `CGAL::Null_functor`.
typedef unspecified_type	Is_zero
	A model of `RealEmbeddableTraits_::IsZero` In case `Type` is also model of `IntegralDomainWithoutDivision` this is a model of `AlgebraicStructureTraits_::IsZero`.

typedef unspecified_type	Abs
	A model of `RealEmbeddableTraits_::Abs`

typedef unspecified_type	Sgn
	A model of `RealEmbeddableTraits_::Sgn`

typedef unspecified_type	Is_positive
	A model of `RealEmbeddableTraits_::IsPositive`

typedef unspecified_type	Is_negative
	A model of `RealEmbeddableTraits_::IsNegative`

typedef unspecified_type	Compare
	A model of `RealEmbeddableTraits_::Compare`

typedef unspecified_type	To_double
	A model of `RealEmbeddableTraits_::ToDouble`

typedef unspecified_type	To_interval
	A model of `RealEmbeddableTraits_::ToInterval`

Member Typedef Documentation

◆ Boolean

typedef unspecified_type RealEmbeddableTraits::Boolean

This type specifies the return type of the predicates provided by this traits.

The type must be convertible to bool and typically the type indeed maps to bool. However, there are also cases such as interval arithmetic, in which it is Uncertain<bool> or some similar type.

◆ Comparison_result

typedef unspecified_type RealEmbeddableTraits::Comparison_result

This type specifies the return type of the Compare functor.

The type must be convertible to CGAL::Comparison_result and typically the type indeed maps to CGAL::Comparison_result. However, there are also cases such as interval arithmetic, in which it is Uncertain<CGAL::Comparison_result> or some similar type.

◆ Is_real_embeddable

typedef unspecified_type RealEmbeddableTraits::Is_real_embeddable

Tag indicating whether the associated type is real embeddable.

This is either Tag_true or Tag_false.

◆ Sign

typedef unspecified_type RealEmbeddableTraits::Sign

This type specifies the return type of the Sgn functor.

The type must be convertible to CGAL::Sign and typically the type indeed maps to CGAL::Sign. However, there are also cases such as interval arithmetic, in which it is Uncertain<CGAL::Sign> or some similar type.