Cartesian/Homogenous Conversion

Classes
class	CGAL::Cartesian_converter< K1, K2, NTConverter >
class	CGAL::Homogeneous_converter< K1, K2, RTConverter, FTConverter >
template<typename RT >
Point_2< Homogeneous< RT > >	CGAL::cartesian_to_homogeneous (const Point_2< Cartesian< RT > > &cp)
	converts 2D point cp with Cartesian representation into a 2D point with homogeneous representation with the same number type. 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. More...
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. More...
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. More...
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>. More...
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>. More...
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. More...
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. More...

Function Documentation

cartesian_to_homogeneous() [1/2]

template<typename RT >

Point_2< Homogeneous<RT> > CGAL::cartesian_to_homogeneous

(

const Point_2< Cartesian< RT > > &

cp

)

#include <CGAL/cartesian_homogeneous_conversion.h>

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

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>

cartesian_to_homogeneous() [2/2]

template<typename RT >

Point_3< Homogeneous<RT> > CGAL::cartesian_to_homogeneous

(

const Point_3< Cartesian< RT > > &

cp

)

#include <CGAL/cartesian_homogeneous_conversion.h>

converts 3D point cp with Cartesian representation into a 3D point with homogeneous representation with the same number type.

homogeneous_to_cartesian() [1/2]

template<typename FT >

Point_2< Cartesian<FT> > CGAL::homogeneous_to_cartesian

(

const Point_2< Homogeneous< FT > > &

hp

)

#include <CGAL/cartesian_homogeneous_conversion.h>

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

homogeneous_to_cartesian() [2/2]

template<typename FT >

Point_3< Cartesian<FT> > CGAL::homogeneous_to_cartesian

(

const Point_3< Homogeneous< FT > > &

hp

)

#include <CGAL/cartesian_homogeneous_conversion.h>

converts 3D point hp with homogeneous representation into a 3D point with Cartesian representation with the same number type.

homogeneous_to_quotient_cartesian() [1/2]

template<typename RT >

Point_2< Cartesian<Quotient<RT> > > CGAL::homogeneous_to_quotient_cartesian

(

const Point_2< Homogeneous< RT > > &

hp

)

#include <CGAL/cartesian_homogeneous_conversion.h>

converts the 2D point hp with homogeneous representation with number type RT into a 2D point with Cartesian representation with number type Quotient<RT>.

homogeneous_to_quotient_cartesian() [2/2]

template<typename RT >

Point_3< Cartesian<Quotient<RT> > > CGAL::homogeneous_to_quotient_cartesian

(

const Point_3< Homogeneous< RT > > &

hp

)

#include <CGAL/cartesian_homogeneous_conversion.h>

converts the 3D point hp with homogeneous representation with number type RT into a 3D point with Cartesian representation with number type Quotient<RT>.

quotient_cartesian_to_homogeneous() [1/2]

template<typename RT >

Point_2< Homogeneous<RT> > CGAL::quotient_cartesian_to_homogeneous

(

const Point_2< Cartesian< Quotient< RT > > > &

cp

)

#include <CGAL/cartesian_homogeneous_conversion.h>

converts 2D point cp with Cartesian representation with number type Quotient<RT> into a 2D point with homogeneous representation with number type RT.

quotient_cartesian_to_homogeneous() [2/2]

template<typename RT >

Point_3< Homogeneous<RT> > CGAL::quotient_cartesian_to_homogeneous

(

const Point_3< Cartesian< Quotient< RT > > > &

cp

)

#include <CGAL/cartesian_homogeneous_conversion.h>

converts 3D point cp with Cartesian representation with number type Quotient<RT> into a 3D point with homogeneous representation with number type RT.