FunctionObjectConcept

Kernel::ConstructSphere_3

A model for this must provide:

Kernel::Sphere_3
fo.operator() ( Kernel::Point_3 center,
Kernel::FT squared_radius,
Orientation orientation = COUNTERCLOCKWISE)
introduces a sphere initialized to the sphere with center center, squared radius squared_radius and orientation orientation.
Precondition: orientation COPLANAR, and furthermore, squared_radius 0.

Kernel::Sphere_3 fo.operator() ( Kernel::Point_3 p, Kernel::Point_3 q, Kernel::Point_3 r, Kernel::Point_3 s)
introduces a sphere initialized to the unique sphere which passes through the points p, q, r and s. The orientation of the sphere is the orientation of the point quadruple p, q, r, s.
Precondition: p, q, r, and s are not coplanar.

Kernel::Sphere_3
fo.operator() ( Kernel::Point_3 p,
Kernel::Point_3 q,
Kernel::Point_3 r,
Orientation o = COUNTERCLOCKWISE)
introduces a sphere initialized to the smallest sphere which passes through the points p, q, and r. The orientation of the sphere is o.
Precondition: o is not COPLANAR.

Kernel::Sphere_3 fo.operator() ( Kernel::Point_3 p, Kernel::Point_3 q, Orientation o = COUNTERCLOCKWISE)
introduces a sphere initialized to the smallest sphere which passes through the points p and q. The orientation of the sphere is o.
Precondition: o is not COPLANAR.

Kernel::Sphere_3 fo.operator() ( Kernel::Point_3 center, Orientation orientation = COUNTERCLOCKWISE)
introduces a sphere s initialized to the sphere with center center, squared radius zero and orientation orientation.
Precondition: orientation COPLANAR.
Postcondition: s.is_degenerate() = true.

Kernel::Sphere_3 fo.operator() ( Kernel::Circle_3 c)
introduces a sphere initialized to the diametral sphere of the circle.

Refines

AdaptableFunctor (with four arguments)

See Also

CGAL::Sphere_3<Kernel>