CGAL::Min_sphere_of_spheres_d_traits_2< K, FT, UseSqrt, Algorithm > Class Template Reference

#include <CGAL/Min_sphere_of_spheres_d_traits_2.h>

Definition

template<typename K, typename FT, typename UseSqrt, typename Algorithm>
class CGAL::Min_sphere_of_spheres_d_traits_2< K, FT, UseSqrt, Algorithm >

The class Min_sphere_of_spheres_d_traits_2<K,FT,UseSqrt,Algorithm> is a model for concept MinSphereOfSpheresTraits.

It uses a pair of CGAL Point_2 and FT to represent circles.

Is model of

MinSphereOfSpheresTraits

The last two template parameters, UseSqrt and Algorithm, have default arguments, namely CGAL::Tag_false and CGAL::Default_algorithm, respectively. The template parameters of class Min_sphere_of_points_d_traits_2<K,FT,UseSqrt,Algorithm> must fulfill the following requirements:

Template Parameters

K	must be a model for Kernel.
FT	is a number type, which fulfills the requirements of type FT of concept MinSphereOfSpheresTraits: It must be either double or float, or an exact number type.
UseSqrt	fulfills the requirements of type Use_square_roots of concept MinSphereOfSpheresTraits: It must be either Tag_true or Tag_false, and its default is Tag_false.
Algorithm	fulfills the requirements of type Algorithm of concept MinSphereOfSpheresTraits: It must be either Default_algorithm, LP_algorithm or Farthest_first_heuristic, and its default is Default_algorithm.

Examples

Min_sphere_of_spheres_d/min_sphere_of_spheres_d_2.cpp.

Types
In addition to the types required by the concept MinSphereOfSpheresTraits, this model also defines the types Radius and Point. Here's the complete list of defined types:
typedef unspecified_type	FT
typedef unspecified_type	Use_square_roots
typedef unspecified_type	Algorithm
typedef unspecified_type	Radius
	is a typedef to the template parameter FT
typedef unspecified_type	Point
	is a typedef to K::Point_2.
typedef unspecified_type	Sphere
	is a typedef to std::pair<Point,Radius>.
typedef unspecified_type	Cartesian_const_iterator
	is a typedef to K::Cartesian_const_iterator_2.

Constants
static const int	D
	is the constant 2, i.e. the dimension of \( \mathbb{R}^2\).

Access Functions
The class provides the access functions required by the concept MinSphereOfSpheresTraits; they simply map to the corresponding routines of class K::Point_2:
FT	radius (const Sphere &s)
	maps to s.second.
Cartesian_const_iterator	center_cartesian_begin (const Sphere &s)
	maps to s.first.cartesian_begin().