CGAL::Apollonius_graph_filtered_traits_2< CK, CM, EK, EM, FK, FM > Class Template Reference

#include <CGAL/Apollonius_graph_filtered_traits_2.h>

Definition

template<typename CK, typename CM, typename EK, typename EM, typename FK, typename FM>
class CGAL::Apollonius_graph_filtered_traits_2< CK, CM, EK, EM, FK, FM >

The class Apollonius_graph_filtered_traits_2 provides a model for the ApolloniusGraphTraits_2 concept.

The class Apollonius_graph_filtered_traits_2 uses the filtering technique [1] to achieve traits for the Apollonius_graph_2<Gt,Agds> class with efficient and exact predicates given an exact kernel EK and a filtering kernel FK. The geometric constructions associated provided by this class are equivalent to those provided by the traits class Apollonius_graph_traits_2<CK,CM>, which means that they may be inexact.

This class has six template parameters. The first, third and fifth template parameters must be a models of the Kernel concept. The second, fourth and sixth template parameters correspond to how predicates are evaluated. There are two predefined possible values for Method_tag, namely CGAL::Field_with_sqrt_tag and CGAL::Integral_domain_without_division_tag. The first one must be used when the number type used in the representation supports the exact evaluation of signs of expressions involving all four basic operations and square roots, whereas the second one requires the exact evaluation of signs of ring-type expressions, i.e., expressions involving only additions, subtractions and multiplications. The way the predicates are evaluated is discussed in [3], [4].

The default values for the template parameters are as follows: CM = CGAL::Integral_domain_without_division_tag, EK = CGAL::Simple_cartesian<CGAL::MP_Float>, EM = CM, FK = CGAL::Simple_cartesian<CGAL::Interval_nt<false> >, FM = CM.

Is model of

ApolloniusGraphTraits_2

See also

Kernel

ApolloniusGraphTraits_2

CGAL::Integral_domain_without_division_tag

CGAL::Field_with_sqrt_tag

CGAL::Apollonius_graph_2<Gt,Agds>

CGAL::Apollonius_graph_traits_2<K,Method_tag>

Examples

Apollonius_graph_2/ag2_filtered_traits_no_hidden.cpp, and Apollonius_graph_2/ag2_hierarchy.cpp.

Creation
	Apollonius_graph_filtered_traits_2 ()
	Default constructor.
	Apollonius_graph_filtered_traits_2 (Apollonius_graph_filtered_traits_2< CK, CM, EK, EM, FK, FM > other)
	Copy constructor.
Apollonius_graph_filtered_traits_2< CK, CM, EK, EM, FK, FM >	operator= (other)
	Assignment operator.