CGAL::Homogeneous< RingNumberType > Struct Template Reference

#include <CGAL/Homogeneous.h>

Definition

template<typename RingNumberType>
struct CGAL::Homogeneous< RingNumberType >

A model for a Kernel using homogeneous coordinates to represent the geometric objects. In order for Homogeneous to model Euclidean geometry in \( E^2\) and/or \( E^3\), for some mathematical ring \( E\) (e.g., the integers \(\mathbb{Z}\) or the rationals \(\mathbb{Q}\)), the template parameter RingNumberType must model the mathematical ring \( E\). That is, the ring operations on this number type must compute the mathematically correct results. If the number type provided as a model for RingNumberType is only an approximation of a ring (such as the built-in type double), then the geometry provided by the kernel is only an approximation of Euclidean geometry.

Is Model Of:

Kernel

Implementation

This model of a kernel uses reference counting.

See also

CGAL::Cartesian<FieldNumberType>

CGAL::Simple_cartesian<FieldNumberType>

CGAL::Simple_homogeneous<RingNumberType>

Types
typedef Quotient< RingNumberType >	FT
typedef RingNumberType	RT

Member Typedef Documentation

FT

template<typename RingNumberType >

typedef Quotient<RingNumberType> CGAL::Homogeneous< RingNumberType >::FT

RT

template<typename RingNumberType >

typedef RingNumberType CGAL::Homogeneous< RingNumberType >::RT