Kernel::ComputeSquaredRadius_3 Concept Reference Definition Refines AdaptableUnaryFunction See alsoCGAL::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. Kernel::FT operator() (const Kernel::Circle_3 &c) returns the squared radius of c. 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. 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. 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. Kernel::FT operator() (const Kernel::Point_3 &p) returns the squared radius of the smallest circle passing through p, i.e. \( 0\). Member Function Documentation operator()() 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. Preconditionp, q, r and s are not coplanar. KernelComputeSquaredRadius_3 Generated by 1.17.0

Definition

Refines

AdaptableUnaryFunction

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.
Kernel::FT	operator() (const Kernel::Circle_3 &c)
	returns the squared radius of c.
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.
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.
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.
Kernel::FT	operator() (const Kernel::Point_3 &p)
	returns the squared radius of the smallest circle passing through p, i.e. \( 0\).

Member Function Documentation

operator()()

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.