\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.7 - 3D Triangulations
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CGAL::Regular_triangulation_filtered_traits_3< FK > Class Template Reference

#include <CGAL/Regular_triangulation_filtered_traits_3.h>

Inherits from

CGAL::Regular_triangulation_euclidean_traits_3< FK >.

Definition

Deprecated:
This class is deprecated since CGAL 3.6. The class CGAL::Regular_triangulation_euclidean_traits_3 should be used instead. Filtered predicates are automatically used if the Boolean Has_filtered_predicates in the kernel provided as template parameter of that class is set to true.

The class Regular_triangulation_filtered_traits_3 is designed as a traits class for the class Regular_triangulation_3<RegularTriangulationTraits_3,TriangulationDataStructure_3>. Its difference with Regular_triangulation_euclidean_traits_3 is that it provides filtered predicates which are meant to be fast and exact.

The first argument FK must be a model of the Kernel concept, and it is also restricted to be a instance of the Filtered_kernel template.

Is Model Of:
RegularTriangulationTraits_3
See Also
CGAL::Regular_triangulation_euclidean_traits_3.

Additional Inherited Members

- Public Types inherited from CGAL::Regular_triangulation_euclidean_traits_3< FK >
typedef FK::Point_3 Bare_point
 The type for point \( p\) of a weighted point \( {p}^{(w)}=(p,w_p)\).
 
typedef Weighted_point
< Bare_point, Weight > 
Weighted_point_3
 The type for weighted points.
 
typedef Weighted_point
< Bare_point, Weight > 
Point_3
 The type for points.
 
typedef unspecified_type Power_test_3
 A predicate type for power test. More...
 
typedef unspecified_type Compare_power_distance_3
 A predicate type to compare power distance. More...
 
typedef unspecified_type Compare_weighted_squared_radius_3
 A predicate type. More...
 
typedef unspecified_type In_smallest_orthogonal_sphere_3
 A predicate type. More...
 
typedef unspecified_type Side_of_bounded_orthogonal_sphere_3
 A predicate type. More...
 
typedef unspecified_type Does_simplex_intersect_dual_support_3
 A predicate type. More...
 
typedef unspecified_type Construct_weighted_circumcenter_3
 A constructor type. More...
 
typedef unspecified_type Compute_power_product_3
 A functor type. More...
 
typedef unspecified_type Compute_squared_radius_smallest_orthogonal_sphere_3
 A functor type. More...
 
typedef unspecified_type Compute_critical_squared_radius_3
 A functor type. More...
 
- Public Member Functions inherited from CGAL::Regular_triangulation_euclidean_traits_3< FK >
Power_test_3 power_test_3_object ()
 
Compare_power_distance_3 compare_power_distance_3_object ()
 
Compare_weighted_squared_radius_3 compare_weighted_squared_radius_3_object ()
 
In_smallest_orthogonal_sphere_3 in_smallest_orthogonal_sphere_3_object ()
 
Side_of_bounded_orthogonal_sphere_3 side_of_bounded_orthogonal_sphere_3_object ()
 
Does_simplex_intersect_dual_support_3 does_simplex_intersect_dual_support_3_object ()
 
Construct_weighted_circumcenter_3 construct_weighted_circumcenter_3_object ()
 
Compute_power_product_3 compute_power_product_3_object ()
 
Compute_squared_radius_smallest_orthogonal_sphere_3 compute_squared_radius_smallest_orthogonal_sphere_3_object ()
 
Compute_critical_squared_radius_3 compute_critical_squared_radius_3_object ()