Kernel::ComputeSquaredRadius_3 Concept Reference

Definition

Refines:

AdaptableFunctor (with one argument)

See Also

CGAL::Sphere_3<Kernel>

CGAL::Circle_3<Kernel>

CGAL::squared_radius()

Operations
A model of this concept must provide:
Kernel::FT	operator() (const Kernel::Sphere_3 &s)
	returns the squared radius of s. More...
Kernel::FT	operator() (const Kernel::Circle_3 &c)
	returns the squared radius of c. More...
Kernel::FT	operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r, const Kernel::Point_3 &s)
	returns the squared radius of the sphere passing through p, q, r and s. More...
Kernel::FT	operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r)
	returns the squared radius of the sphere passing through p, q and r, and whose center is in the plane defined by these three points. More...
Kernel::FT	operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q)
	returns the squared radius of the smallest circle passing through p, and q, i.e. one fourth of the squared distance between p and q. More...
Kernel::FT	operator() (const Kernel::Point_3 &p)
	returns the squared radius of the smallest circle passing through p, i.e. \( 0\). More...

Member Function Documentation

Kernel::FT Kernel::ComputeSquaredRadius_3::operator()

(

const Kernel::Sphere_3 &

s

)

returns the squared radius of s.

Kernel::FT Kernel::ComputeSquaredRadius_3::operator()

(

const Kernel::Circle_3 &

c

)

returns the squared radius of c.

Kernel::FT Kernel::ComputeSquaredRadius_3::operator()	(	const Kernel::Point_3 &	p,
		const Kernel::Point_3 &	q,
		const Kernel::Point_3 &	r,
		const Kernel::Point_3 &	s
	)

returns the squared radius of the sphere passing through p, q, r and s.

Precondition

p, q, r and s are not coplanar.

Kernel::FT Kernel::ComputeSquaredRadius_3::operator()	(	const Kernel::Point_3 &	p,
		const Kernel::Point_3 &	q,
		const Kernel::Point_3 &	r
	)

returns the squared radius of the sphere passing through p, q and r, and whose center is in the plane defined by these three points.

Kernel::FT Kernel::ComputeSquaredRadius_3::operator()	(	const Kernel::Point_3 &	p,
		const Kernel::Point_3 &	q
	)

returns the squared radius of the smallest circle passing through p, and q, i.e. one fourth of the squared distance between p and q.

Kernel::FT Kernel::ComputeSquaredRadius_3::operator()

(

const Kernel::Point_3 &

p

)

returns the squared radius of the smallest circle passing through p, i.e. \( 0\).