\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
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CGAL::Epick_d< DimensionTag > Class Template Reference

#include <CGAL/Epick_d.h>

Definition

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
DimensionTagis 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 Intersect_d is not yet implemented. Contained_in_affine_hull assumes that the iterators refer to an affinely independent family. Orientation_d only works for points, not vectors.
Ancient compilers like gcc-4.2 or icc 14 are not supported, but gcc-4.4 and icc 15 work.
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>

Classes

class  Compute_squared_radius_d
 
class  Construct_circumcenter_d
 
class  Point_d
 represents a point in the Euclidean space More...
 
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 ()