\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0.1 - 2D Hyperbolic Delaunay Triangulations
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CGAL::Hyperbolic_Delaunay_triangulation_traits_2< K > Class Template Reference
2D Hyperbolic Delaunay Triangulations Reference » Traits Classes

#include <CGAL/Hyperbolic_Delaunay_triangulation_traits_2.h>

Inherits from

K.

Definition

The class Hyperbolic_Delaunay_triangulation_traits_2 is designed as one of the default models for the traits concept HyperbolicDelaunayTriangulationTraits_2 offered by CGAL.

Template Parameters
Kmust be a model of Kernel.

If K provides exact computations with square roots, then this class automatically provides exact constructions and predicates. The default value for K is Exact_predicates_exact_constructions_kernel_with_sqrt, which guarantees exact constructions of Delaunay triangulations and dual objects for input points with algebraic coordinates.

See also
Hyperbolic_Delaunay_triangulation_CK_traits_2
Is Model Of:
HyperbolicDelaunayTriangulationTraits_2
Examples:
Hyperbolic_triangulation_2/ht2_example.cpp.

Types

typedef K::FT FT
 
typedef K::Point_2 Hyperbolic_point_2
 
typedef Hyperbolic_point_2 Hyperbolic_Voronoi_point_2
 
typedef unspecified_type Circular_arc_2
 
typedef K::Segment_2 Euclidean_segment_2
 
typedef boost::variant< Circular_arc_2, Euclidean_segment_2 > Hyperbolic_segment_2
 
typedef K::Triangle_2 Hyperbolic_triangle_2
 

Creation

 Hyperbolic_Delaunay_triangulation_traits_2 ()
 Default constructor
 
 Hyperbolic_Delaunay_triangulation_traits_2 (const Hyperbolic_Delaunay_triangulation_traits_2 &other)
 Copy constructor.