\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0 - 2D and 3D Linear Geometry Kernel
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CGAL::Homogeneous< RingNumberType > Struct Template Reference
2D and 3D Linear Geometry Kernel Reference » Kernel Classes

#include <CGAL/Homogeneous.h>

Definition

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