CGAL::Epick_d< DimensionTag > Struct Template Reference

#include <CGAL/Epick_d.h>

Definition

template<typename DimensionTag>
struct CGAL::Epick_d< DimensionTag >

A model for Kernel_d that uses Cartesian coordinates to represent the geometric objects.

This kernel is default constructible and copyable. It does not carry any state so it is possible to use objects created by one instance with functors created by another one.

This kernel supports construction of points from double Cartesian coordinates. It provides exact geometric predicates, but the geometric constructions are not guaranteed to be exact. The geometric predicates are made exact without sacrificing speed thanks to the use of filters.

Template Parameters

DimensionTag

is a tag representing the dimension of the ambient Euclidean space. It may be either Dimension_tag<d> where d is an integer or Dynamic_dimension_tag. In the latter case, the dimension of the space is specified for each point when it is constructed, so it does not need to be known at compile-time.

Attention

Only the interfaces specific to this class are listed below. Refer to the concepts for the rest.

Known bugs: the functor Kernel_d::Intersect_d is not yet implemented. Kernel_d::Contained_in_affine_hull assumes that the iterators refer to an affinely independent family. Kernel_d::Orientation_d only works for points, not vectors.

This kernel requires the Eigen library.

Is Model Of:

Kernel_d

DelaunayTriangulationTraits

RegularTriangulationTraits

SearchTraits

RangeSearchTraits

See also

CGAL::Cartesian_d<FieldNumberType>

CGAL::Homogeneous_d<RingNumberType>

CGAL::Epeck_d<DimensionTag>

Classes
class	Compute_squared_radius_d
class	Compute_squared_radius_smallest_orthogonal_sphere_d
class	Construct_circumcenter_d
class	Point_d
	represents a point in the Euclidean space More...
class	Power_side_of_bounded_power_sphere_d
class	Side_of_bounded_sphere_d
class	Weighted_point_d
	represents a weighted point in the Euclidean space More...

Public Member Functions
Construct_circumcenter_d	construct_circumcenter_d_object ()
Compute_squared_radius_d	compute_squared_radius_d_object ()
Compute_squared_radius_smallest_orthogonal_sphere_d	compute_squared_radius_smallest_orthogonal_sphere_d_object ()
Power_side_of_bounded_power_sphere_d	power_side_of_bounded_power_sphere_d_object ()

Member Function Documentation

compute_squared_radius_d_object()

template<typename DimensionTag >

Compute_squared_radius_d CGAL::Epick_d< DimensionTag >::compute_squared_radius_d_object

(

)

compute_squared_radius_smallest_orthogonal_sphere_d_object()

template<typename DimensionTag >

Compute_squared_radius_smallest_orthogonal_sphere_d CGAL::Epick_d< DimensionTag >::compute_squared_radius_smallest_orthogonal_sphere_d_object

(

)

construct_circumcenter_d_object()

template<typename DimensionTag >

Construct_circumcenter_d CGAL::Epick_d< DimensionTag >::construct_circumcenter_d_object

(

)

power_side_of_bounded_power_sphere_d_object()

template<typename DimensionTag >

Power_side_of_bounded_power_sphere_d CGAL::Epick_d< DimensionTag >::power_side_of_bounded_power_sphere_d_object

(

)