CGAL 6.1 - 3D Spherical Geometry Kernel
Loading...
Searching...
No Matches
CGAL::Spherical_kernel_3< Kernel, AlgebraicKernelForSpheres > Struct Template Reference

#include <CGAL/Spherical_kernel_3.h>

Inherits Kernel.

Definition

template<typename Kernel, typename AlgebraicKernelForSpheres>
struct CGAL::Spherical_kernel_3< Kernel, AlgebraicKernelForSpheres >
Is model of
SphericalKernel

Parameters

The first parameter of the spherical kernel must be instantiated with a model of the Kernel concept. The Spherical_kernel_3 class template derives from this first parameter, in order to reuse all needed functionalities on basic objects provided by a model of the Kernel concept.

The second parameter, AlgebraicKernelForSpheres, is meant to provide the spherical kernel with all the algebraic functionalities required for the manipulation of algebraic curves.

See also
Kernel
AlgebraicKernelForSpheres
CGAL::Exact_spherical_kernel_3

Types

The spherical kernel uses basic number types of the algebraic kernel: In fact, the two number types AlgebraicKernelForSpheres::RT and Kernel::RT must refer to the same type, as well as AlgebraicKernelForSpheres::FT and Kernel::FT.

typedef AlgebraicKernelForSpheres::RT RT
 Ring number type.
 
typedef AlgebraicKernelForSpheres::FT FT
 Field number type.
 

The following types are available, as well as all the functionality on them described in the SphericalKernel concept.

Polynomials_for_circle_3 is implemented as a std::pair< Polynomial_for_spheres_2_3, Polynomial_1_3 > and is a model of AlgebraicKernelForSpheres::PolynomialsForCircles_3.

typedef Line_arc_3< Spherical_kernel_3Line_arc_3
 
typedef Circular_arc_3< Spherical_kernel_3Circular_arc_3
 
typedef Circular_arc_point_3< Spherical_kernel_3Circular_arc_point_3
 

Member Typedef Documentation

◆ Circular_arc_3

template<typename Kernel , typename AlgebraicKernelForSpheres >
typedef Circular_arc_3<Spherical_kernel_3> CGAL::Spherical_kernel_3< Kernel, AlgebraicKernelForSpheres >::Circular_arc_3

◆ Circular_arc_point_3

template<typename Kernel , typename AlgebraicKernelForSpheres >
typedef Circular_arc_point_3<Spherical_kernel_3> CGAL::Spherical_kernel_3< Kernel, AlgebraicKernelForSpheres >::Circular_arc_point_3

◆ FT

Field number type.

◆ Line_arc_3

template<typename Kernel , typename AlgebraicKernelForSpheres >
typedef Line_arc_3<Spherical_kernel_3> CGAL::Spherical_kernel_3< Kernel, AlgebraicKernelForSpheres >::Line_arc_3

◆ RT

Ring number type.