\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5 - dD Geometry Kernel
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Classes
CGAL::Epick_d< DimensionTag > Class Template Reference
Kernels

#include <CGAL/Epick_d.h>

Definition

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

The parameter 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 later case, the dimension of the space is specified for each point when it is constructed, so it doesn't need to be known at compile-time. 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.

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.

Only the interfaces specific to this class are listed here, 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.

This kernel requires the Eigen library.

Ancient compilers like gcc-4.2 are not supported, but gcc-4.4 works.

Is Model Of:

Kernel_d

DelaunayTriangulationTraits

See Also
CGAL::Cartesian_d<FieldNumberType>
CGAL::Homogeneous_d<RingNumberType>

Classes

class  Point_d
 represents a point in the Euclidean space More...