mirror of https://github.com/CGAL/cgal
108 lines
3.9 KiB
C++
108 lines
3.9 KiB
C++
// ======================================================================
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//
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// Copyright (c) 2000 The CGAL Consortium
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//
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// This software and related documentation is part of an INTERNAL release
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// of the Computational Geometry Algorithms Library (CGAL). It is not
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// intended for general use.
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//
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// ----------------------------------------------------------------------
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//
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// release :
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// release_date :
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//
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// file : include/CGAL/Cartesian/Sphere_d.h
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// revision : $Revision$
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// revision_date : $Date$
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// author(s) : Herve.Bronnimann@sophia.inria.fr
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// coordinator : INRIA Sophia-Antipolis (Mariette.Yvinec@sophia.inria.fr)
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//
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// ======================================================================
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#ifndef CGAL_CARTESIAN_SPHERE_D_H
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#define CGAL_CARTESIAN_SPHERE_D_H
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#include <CGAL/Cartesian/redefine_names_d.h>
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#include <CGAL/Cartesian/Sphere_rep_d.h>
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CGAL_BEGIN_NAMESPACE
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template <class R_>
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class SphereC3 CGAL_ADVANCED_KERNEL_PARTIAL_SPEC
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{
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public:
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typedef R_ R;
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typedef typename R::FT FT;
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typedef typename R::RT RT;
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#ifndef CGAL_CFG_NO_ADVANCED_KERNEL
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typedef SphereC3<R CGAL_CTAG> Self;
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typedef typename R::Point_d Point_d;
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typedef typename R::Aff_transformation_d Aff_transformation_d;
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#else
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typedef SphereC3<R> Self;
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typedef typename R::Point_D_base Point_d;
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// typedef typename R::Aff_transformation_D_base Aff_transformation_d;
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#endif
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Sphere_d(const Point_d &p, const FT &s,
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const Orientation &o = COUNTERCLOCKWISE);
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// Sphere with center p, squared radius s, orientation o
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Sphere_d(const R::Point_d &p, const R::Point_d &q,
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const R::Point_d &r, const R::Point_d &u);
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// Sphere passing through p,q,r,u, oriented by p, q, r, u
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Sphere_d(const R::Point_d &p, const R::Point_d &q, const R::Point_d &r,
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const Orientation &o = COUNTERCLOCKWISE);
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// Sphere with great circle passing through p,q,r, oriented by o
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Sphere_d(const Point_d & p, const Point_d & q,
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const Orientation &o = COUNTERCLOCKWISE);
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// Sphere with diameter pq and orientation o
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Sphere_d(const Point_d & p,
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const Orientation& o = COUNTERCLOCKWISE);
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// Sphere centered at p, radius 0, orientation o
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Point center() const;
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// Returns the center of c
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FT squared_radius() const;
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// Returns the square of the radius (instead of the radius itself,
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// which would require square roots)
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Orientation orientation() const;
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// Returns the orientation of c
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Self orthogonal_transform(const Aff_transformation_d &t) const;
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//! precond: t.is_orthogonal() (*UNDEFINED*)
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// Returns the image of c by t. Since t is orthogonal, the image is
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// always a circle
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bool is_degenerate() const;
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// A circle is degenerate if its (squared) radius is null or negative
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Self opposite() const;
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// Returns a circle with opposite orientation
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Oriented_side oriented_side(const Point_d &p) const;
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//! precond: ! x.is_degenerate() (when available)
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// Returns R::ON_POSITIVE_SIDE, R::ON_ORIENTED_BOUNDARY or
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// R::ON_NEGATIVE_SIDE
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bool has_on_boundary(const Point_d &p) const
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{ return oriented_side(p)==ON_ORIENTED_BOUNDARY; }
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bool has_on_positive_side(const Point_d &p) const;
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{ return oriented_side(p)==ON_POSITIVE_SIDE; }
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bool has_on_negative_side(const Point_d &p) const;
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{ return oriented_side(p)==ON_NEGATIVE_SIDE; }
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Bounded_side bounded_side(const Point_d &p) const;
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//! precond: ! x.is_degenerate() (when available)
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// Returns R::ON_BOUNDED_SIDE, R::ON_BOUNDARY or R::ON_UNBOUNDED_SIDE
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bool has_on_bounded_side(const Point_d &p) const;
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{ return bounded_side(p)==ON_BOUNDED_SIDE; }
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bool has_on_unbounded_side(const Point_d &p) const;
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{ return bounded_side(p)==ON_UNBOUNDED_SIDE; }
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protected:
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Sphere_repC3<R> *ptr();
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};
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CGAL_END_NAMESPACE
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#endif // CGAL_CARTESIAN_SPHERE_D_H
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