\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0.2 - 2D and 3D Linear Geometry Kernel
Classes
Cartesian/Homogenous Conversion
2D and 3D Linear Geometry Kernel Reference

Classes

class  CGAL::Cartesian_converter< K1, K2, NTConverter >
 Cartesian_converter converts objects from the kernel traits K1 to the kernel traits K2 using NTConverter to do the conversion. More...
 
class  CGAL::Homogeneous_converter< K1, K2, RTConverter, FTConverter >
 Homogeneous_converter converts objects from the kernel traits K1 to the kernel traits K2. More...
 
template<typename RT >
Point_2< Homogeneous< RT > > CGAL::cartesian_to_homogeneous (const Point_2< Cartesian< RT > > &cp)
 Functions to convert between Cartesian and homogeneous kernels. More...
 
template<typename RT >
Point_3< Homogeneous< RT > > CGAL::cartesian_to_homogeneous (const Point_3< Cartesian< RT > > &cp)
 converts 3D point cp with Cartesian representation into a 3D point with homogeneous representation with the same number type.
 
template<typename FT >
Point_2< Cartesian< FT > > CGAL::homogeneous_to_cartesian (const Point_2< Homogeneous< FT > > &hp)
 converts 2D point hp with homogeneous representation into a 2D point with Cartesian representation with the same number type.
 
template<typename FT >
Point_3< Cartesian< FT > > CGAL::homogeneous_to_cartesian (const Point_3< Homogeneous< FT > > &hp)
 converts 3D point hp with homogeneous representation into a 3D point with Cartesian representation with the same number type.
 
template<typename RT >
Point_2< Cartesian< Quotient< RT > > > CGAL::homogeneous_to_quotient_cartesian (const Point_2< Homogeneous< RT > > &hp)
 converts the 2D point hp with homogeneous representation with number type RT into a 2D point with Cartesian representation with number type Quotient<RT>.
 
template<typename RT >
Point_3< Cartesian< Quotient< RT > > > CGAL::homogeneous_to_quotient_cartesian (const Point_3< Homogeneous< RT > > &hp)
 converts the 3D point hp with homogeneous representation with number type RT into a 3D point with Cartesian representation with number type Quotient<RT>.
 
template<typename RT >
Point_2< Homogeneous< RT > > CGAL::quotient_cartesian_to_homogeneous (const Point_2< Cartesian< Quotient< RT > > > &cp)
 converts 2D point cp with Cartesian representation with number type Quotient<RT> into a 2D point with homogeneous representation with number type RT.
 
template<typename RT >
Point_3< Homogeneous< RT > > CGAL::quotient_cartesian_to_homogeneous (const Point_3< Cartesian< Quotient< RT > > > &cp)
 converts 3D point cp with Cartesian representation with number type Quotient<RT> into a 3D point with homogeneous representation with number type RT.
 

Function Documentation

◆ cartesian_to_homogeneous()

template<typename RT >
Point_2< Homogeneous<RT> > CGAL::cartesian_to_homogeneous ( const Point_2< Cartesian< RT > > &  cp)

#include <CGAL/cartesian_homogeneous_conversion.h>

Functions to convert between Cartesian and homogeneous kernels.

See also
CGAL::Cartesian<FieldNumberType>
CGAL::Cartesian_converter<K1, K2, NTConverter>
CGAL::Homogeneous<RingNumberType>
CGAL::Homogeneous_converter<K1, K2, RTConverter, FTConverter>
CGAL::Simple_cartesian<FieldNumberType>
CGAL::Simple_homogeneous<RingNumberType>

converts 2D point cp with Cartesian representation into a 2D point with homogeneous representation with the same number type.