\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - dD Geometry Kernel

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CGAL::Homogeneous_d< RingNumberType > Class Template Reference
Kernels

`#include <CGAL/Homogeneous_d.h>`

## Definition

A model for a `Kernel_d` (and even `KernelWithLifting_d`) using homogeneous coordinates to represent the geometric objects.

In order for `Homogeneous` to model Euclidean geometry in \( E^d\), for some mathematical ring \( E\) (e.g., the integers \(\mathbb{Z}\) or the rationals \(\mathbb{Q}\)), the template parameter `RT` 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:
  `KernelWithLifting_d`

See Also
  `CGAL::Cartesian_d<FieldNumberType>`