mirror of https://github.com/CGAL/cgal
325 lines
8.7 KiB
C++
325 lines
8.7 KiB
C++
// Copyright (c) 1999 Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
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// INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
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// (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
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// and Tel-Aviv University (Israel). All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public License as
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// published by the Free Software Foundation; version 2.1 of the License.
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// See the file LICENSE.LGPL distributed with CGAL.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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//
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//
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// Author(s) : Stefan Schirra
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#ifndef CGAL_SPHEREH3_H
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#define CGAL_SPHEREH3_H
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#include <CGAL/utility.h>
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#include <CGAL/Interval_arithmetic.h>
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#include <CGAL/Homogeneous/predicates_on_pointsH3.h>
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CGAL_BEGIN_NAMESPACE
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template <class R_>
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class SphereH3
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{
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typedef typename R_::RT RT;
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typedef typename R_::FT FT;
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typedef typename R_::Point_3 Point_3;
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typedef typename R_::Aff_transformation_3 Aff_transformation_3;
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typedef Triple<Point_3, FT, Orientation> Rep;
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typedef typename R_::template Handle<Rep>::type Base;
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Base base;
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public:
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typedef R_ R;
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SphereH3() {}
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SphereH3(const Point_3& p, const FT& sq_rad,
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const Orientation& o = COUNTERCLOCKWISE);
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SphereH3(const Point_3& p, const Point_3& q,
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const Point_3& r, const Point_3& u);
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SphereH3(const Point_3& p, const Point_3& q,
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const Point_3& r,
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const Orientation& o = COUNTERCLOCKWISE);
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SphereH3(const Point_3& p, const Point_3& q,
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const Orientation& o = COUNTERCLOCKWISE);
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SphereH3(const Point_3& p,
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const Orientation& o = COUNTERCLOCKWISE);
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bool
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operator==(const SphereH3<R>&) const;
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bool
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operator!=(const SphereH3<R>& s) const
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{ return !(*this == s); }
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const Point_3 & center() const;
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const FT & squared_radius() const;
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Orientation orientation() const;
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SphereH3<R> orthogonal_transform(const Aff_transformation_3& t) const;
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bool is_degenerate() const;
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SphereH3<R> opposite() const;
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Bbox_3 bbox() const;
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Oriented_side oriented_side(const Point_3& p) const;
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bool
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has_on_boundary(const Point_3& p) const
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{ return oriented_side(p)==ON_ORIENTED_BOUNDARY; }
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bool
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has_on_positive_side(const Point_3& p) const
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{ return oriented_side(p)==ON_POSITIVE_SIDE; }
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bool
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has_on_negative_side(const Point_3& p) const
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{ return oriented_side(p)==ON_NEGATIVE_SIDE; }
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Bounded_side
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bounded_side(const Point_3& p) const;
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bool
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has_on_bounded_side(const Point_3& p) const
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{ return bounded_side(p)==ON_BOUNDED_SIDE; }
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bool
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has_on_unbounded_side(const Point_3& p) const
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{ return bounded_side(p)==ON_UNBOUNDED_SIDE; }
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};
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template < class R >
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CGAL_KERNEL_INLINE
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SphereH3<R>::SphereH3(const typename SphereH3<R>::Point_3& center,
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const FT& squared_radius,
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const Orientation& o)
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{
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CGAL_kernel_precondition( !( squared_radius < FT(0))
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&&( o != COLLINEAR) );
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base = Rep(center, squared_radius, o);
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}
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template <class R>
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CGAL_KERNEL_INLINE
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SphereH3<R>::SphereH3(const typename SphereH3<R>::Point_3& center,
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const Orientation& o)
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{
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CGAL_kernel_precondition( ( o != COLLINEAR) );
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base = Rep(center, FT(0), o);
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}
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template <class R>
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CGAL_KERNEL_MEDIUM_INLINE
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SphereH3<R>::SphereH3(const typename SphereH3<R>::Point_3& p,
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const typename SphereH3<R>::Point_3& q,
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const Orientation& o)
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{
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CGAL_kernel_precondition( o != COLLINEAR);
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Point_3 center = midpoint(p,q);
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FT squared_radius = squared_distance(p,center);
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base = Rep(center, squared_radius, o);
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}
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template <class R>
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CGAL_KERNEL_MEDIUM_INLINE
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SphereH3<R>::SphereH3(const typename SphereH3<R>::Point_3& p,
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const typename SphereH3<R>::Point_3& q,
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const typename SphereH3<R>::Point_3& r,
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const Orientation& o)
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{
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CGAL_kernel_precondition( o != COLLINEAR);
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Point_3 center = circumcenter(p,q,r);
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FT squared_radius = squared_distance(p,center);
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base = Rep(center, squared_radius, o);
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}
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template <class R>
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CGAL_KERNEL_MEDIUM_INLINE
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SphereH3<R>::SphereH3(const typename SphereH3<R>::Point_3& p,
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const typename SphereH3<R>::Point_3& q,
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const typename SphereH3<R>::Point_3& r,
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const typename SphereH3<R>::Point_3& s)
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{
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Orientation o = CGAL::orientation(p,q,r,s);
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CGAL_kernel_precondition( o != COLLINEAR);
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Point_3 center = circumcenter(p,q,r,s);
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FT squared_radius = squared_distance(p,center);
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base = Rep(center, squared_radius, o);
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}
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template <class R>
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CGAL_KERNEL_INLINE
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bool
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SphereH3<R>::operator==(const SphereH3<R>& s) const
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{
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return ( orientation() == s.orientation())
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&& ( center() == s.center())
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&& ( squared_radius() == s.squared_radius());
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}
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template <class R>
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inline
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const typename SphereH3<R>::Point_3 &
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SphereH3<R>::center() const
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{ return get(base).first; }
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template <class R>
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inline
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const typename SphereH3<R>::FT &
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SphereH3<R>::squared_radius() const
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{ return get(base).second; }
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template <class R>
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inline
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Orientation
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SphereH3<R>::orientation() const
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{ return get(base).third; }
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template <class R>
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inline
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bool
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SphereH3<R>::is_degenerate() const
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{ return squared_radius() <= FT(0) ; }
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template <class R>
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CGAL_KERNEL_MEDIUM_INLINE
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Oriented_side
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SphereH3<R>::oriented_side(const typename SphereH3<R>::Point_3& p) const
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{ return Oriented_side(bounded_side(p) * orientation()); }
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template <class R>
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CGAL_KERNEL_INLINE
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Bounded_side
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SphereH3<R>::bounded_side(const typename SphereH3<R>::Point_3& p) const
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{
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return Bounded_side(CGAL_NTS compare(squared_radius(),
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squared_distance(center(),p)));
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}
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template <class R>
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inline
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SphereH3<R>
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SphereH3<R>::opposite() const
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{
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return SphereH3<R>(center(), squared_radius(),
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CGAL::opposite(orientation()) );
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}
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template <class R>
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CGAL_KERNEL_INLINE
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Bbox_3
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SphereH3<R>::bbox() const
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{
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Bbox_3 b = center().bbox();
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Interval_nt<> x (b.xmin(), b.xmax());
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Interval_nt<> y (b.ymin(), b.ymax());
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Interval_nt<> z (b.zmin(), b.zmax());
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Interval_nt<> sqr = CGAL_NTS to_interval(squared_radius());
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Interval_nt<> r = CGAL::sqrt(sqr);
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Interval_nt<> minx = x-r;
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Interval_nt<> maxx = x+r;
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Interval_nt<> miny = y-r;
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Interval_nt<> maxy = y+r;
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Interval_nt<> minz = z-r;
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Interval_nt<> maxz = z+r;
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return Bbox_3(minx.inf(), miny.inf(), minz.inf(),
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maxx.sup(), maxy.sup(), maxz.sup());
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}
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#ifndef CGAL_NO_OSTREAM_INSERT_SPHEREH3
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template < class R >
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CGAL_KERNEL_INLINE
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std::ostream &
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operator<<(std::ostream &os, const SphereH3<R> &c)
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{
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switch(os.iword(IO::mode)) {
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case IO::ASCII :
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os << c.center() << ' ' << c.squared_radius() << ' '
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<< static_cast<int>(c.orientation());
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break;
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case IO::BINARY :
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os << c.center();
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write(os, c.squared_radius());
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write(os, static_cast<int>(c.orientation()));
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break;
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default:
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os << "SphereH3(" << c.center() << ", " << c.squared_radius();
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switch (c.orientation()) {
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case CLOCKWISE:
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os << ", clockwise)";
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break;
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case COUNTERCLOCKWISE:
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os << ", counterclockwise)";
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break;
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default:
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os << ", collinear)";
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break;
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}
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break;
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}
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return os;
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}
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#endif // CGAL_NO_OSTREAM_INSERT_SPHEREH3
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#ifndef CGAL_NO_ISTREAM_EXTRACT_SPHEREH3
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template < class R >
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CGAL_KERNEL_INLINE
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std::istream &
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operator>>(std::istream &is, SphereH3<R> &c)
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{
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typename R::Point_3 center;
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typename R::FT squared_radius;
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int o;
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switch(is.iword(IO::mode)) {
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case IO::ASCII :
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is >> center >> squared_radius >> o;
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break;
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case IO::BINARY :
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is >> center;
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read(is, squared_radius);
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is >> o;
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break;
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default:
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std::cerr << "" << std::endl;
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std::cerr << "Stream must be in ascii or binary mode" << std::endl;
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break;
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}
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if (is)
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c = SphereH3<R>(center, squared_radius,
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static_cast<Orientation>(o));
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return is;
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}
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#endif // CGAL_NO_ISTREAM_EXTRACT_SPHEREH3
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CGAL_END_NAMESPACE
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#endif // CGAL_SPHEREH3_H
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