CGAL::Min_ellipse_2_traits_2< K > Class Template Reference

#include <CGAL/Min_ellipse_2_traits_2.h>

Definition

The class Min_ellipse_2_traits_2 is a traits class for CGAL::Min_ellipse_2<Traits> using the two-di-men-sional CGAL kernel.

The template parameter K must be a model for Kernel.

Is Model Of:

MinEllipse2Traits

See also

CGAL::Min_ellipse_2<Traits>

MinEllipse2Traits

Examples:

Min_ellipse_2/min_ellipse_2.cpp.

Types
typedef unspecified_type	Point
	typedef to K::Point_2. More...
typedef unspecified_type	Ellipse
	internal type. More...

Access Functions
The Ellipse type provides the following access methods not required by the concept MinEllipse2Traits.
bool	is_circle ()
	tests whether the ellipse is a circle. More...
void	double_coefficients (double &r, double &s, double &t, double &u, double &v, double &w)
	gives a double approximation of the ellipse's conic equation. More...

Creation
	Min_ellipse_2_traits_2 ()
	default constructor. More...
	Min_ellipse_2_traits_2 (const Min_ellipse_2_traits_2< K > &)
	copy constructor. More...

Member Typedef Documentation

template<typename K>

typedef unspecified_type CGAL::Min_ellipse_2_traits_2< K >::Ellipse

internal type.

template<typename K>

typedef unspecified_type CGAL::Min_ellipse_2_traits_2< K >::Point

typedef to K::Point_2.

Constructor & Destructor Documentation

template<typename K>

CGAL::Min_ellipse_2_traits_2< K >::Min_ellipse_2_traits_2

(

)

default constructor.

template<typename K>

CGAL::Min_ellipse_2_traits_2< K >::Min_ellipse_2_traits_2

(

const Min_ellipse_2_traits_2< K > &

)

copy constructor.

Member Function Documentation

template<typename K>

void CGAL::Min_ellipse_2_traits_2< K >::double_coefficients	(	double &	r,
		double &	s,
		double &	t,
		double &	u,
		double &	v,
		double &	w
	)

gives a double approximation of the ellipse's conic equation.

If K is a Cartesian kernel, the ellipse is the set of all points \( (x,y)\) satisfying \( rx^2+sy^2+txy+ux+vy+w=0\). In the Homogeneous case, the ellipse is the set of points \( (hx,hy,hw)\) satisfying \( r(hx)^2+s(hy)^2+t(hx)(hy)+u(hx)(hw)+v(hy)(hw)+w(hw)^2=0\).

template<typename K>

bool CGAL::Min_ellipse_2_traits_2< K >::is_circle

(

)

tests whether the ellipse is a circle.