SphericalKernel::Intersect_3 Concept Reference

Definition

Refines:

Kernel::Intersect_3

See also

CGAL::intersection()

Operations
A model of this concept must provide:
template<class OutputIterator >
OutputIterator	operator() (const Type1 &obj1, const Type2 &obj2, OutputIterator intersections)
	Copies in the output iterator the intersection elements between the two objects. More...
template<class OutputIterator >
OutputIterator	operator() (const Type1 &obj1, const Type2 &obj2, const Type3 &obj3, OutputIterator intersections)
	Copies in the output iterator the intersection elements between the three objects. More...

Member Function Documentation

operator()() [1/2]

template<class OutputIterator >

OutputIterator SphericalKernel::Intersect_3::operator()	(	const Type1 &	obj1,
		const Type2 &	obj2,
		OutputIterator	intersections
	)

Copies in the output iterator the intersection elements between the two objects.

intersections iterates on elements of type CGAL::Object, in lexicographic order when this ordering is defined on the computed objects.

Type1 and Type2 can both be either:

• SphericalKernel::Sphere_3,
• SphericalKernel::Plane_3,
• SphericalKernel::Line_3,
• SphericalKernel::Circle_3,
• SphericalKernel::Line_arc_3 or
• SphericalKernel::Circular_arc_3

depending on the types Type1 and Type2, the computed CGAL::Object's can be assigned to

• std::pair< SphericalKernel::Circular_arc_point_3, unsigned>, where the unsigned integer is the multiplicity of the corresponding intersection point between obj_1 and obj_2,
• Type1, when Type1 and Type2 are equal, and if the two objects obj1 and obj2 are equal,
• SphericalKernel::Line_3 or SphericalKernel::Circle_3 when Type1 and Type2 are two-dimensional objects intersecting along a curve (2 planes, or 2 spheres, or one plane and one sphere),
• SphericalKernel::Circular_arc_3 in case of an overlap of two circular arcs or
• SphericalKernel::Line_arc_3 in case of an overlap of two line segments.

operator()() [2/2]

template<class OutputIterator >

OutputIterator SphericalKernel::Intersect_3::operator()	(	const Type1 &	obj1,
		const Type2 &	obj2,
		const Type3 &	obj3,
		OutputIterator	intersections
	)

Copies in the output iterator the intersection elements between the three objects.

intersections iterates on elements of type CGAL::Object, in lexicographic order when this ordering is defined on the computed objects.

Type1, Type2 and Type3 can be either:

• SphericalKernel::Sphere_3 or
• SphericalKernel::Plane_3

and depending of these types, the computed CGAL::Object's can be assigned to

• std::pair< SphericalKernel::Circular_arc_point_3, unsigned>, where the unsigned integer is the multiplicity of the corresponding intersection point,
• SphericalKernel::Circle_3 or
• Type1, when Type1, Type2 and Type3 are equal, and if the three objects obj1 and obj2 and obj3 are equal.