// Copyright (c) 1999 Utrecht University (The Netherlands),
// ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
// INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
// (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
// and Tel-Aviv University (Israel). All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; version 2.1 of the License.
// See the file LICENSE.LGPL distributed with CGAL.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $Source: /CVSROOT/CGAL/Packages/H3/include/CGAL/Homogeneous/SphereH3.h,v $
// $Revision: 1.18 $ $Date: 2004/06/20 18:08:09 $
// $Name: $
//
// Author(s) : Stefan Schirra
#ifndef CGAL_SPHEREH3_H
#define CGAL_SPHEREH3_H
#include <CGAL/utility.h>
#include <CGAL/Interval_arithmetic.h>
#include <CGAL/Homogeneous/predicates_on_pointsH3.h>
CGAL_BEGIN_NAMESPACE
template <class R_>
class SphereH3
{
typedef typename R_::RT RT;
typedef typename R_::FT FT;
typedef typename R_::Point_3 Point_3;
typedef typename R_::Aff_transformation_3 Aff_transformation_3;
typedef Triple<Point_3, FT, Orientation> Rep;
typedef typename R_::template Handle<Rep>::type Base;
Base base;
public:
typedef R_ R;
SphereH3() {}
SphereH3(const Point_3& p, const FT& sq_rad,
const Orientation& o = COUNTERCLOCKWISE);
SphereH3(const Point_3& p, const Point_3& q,
const Point_3& r, const Point_3& u);
SphereH3(const Point_3& p, const Point_3& q,
const Point_3& r,
const Orientation& o = COUNTERCLOCKWISE);
SphereH3(const Point_3& p, const Point_3& q,
const Orientation& o = COUNTERCLOCKWISE);
SphereH3(const Point_3& p,
const Orientation& o = COUNTERCLOCKWISE);
bool
operator==(const SphereH3<R>&) const;
bool
operator!=(const SphereH3<R>& s) const
{ return !(*this == s); }
const Point_3 & center() const;
const FT & squared_radius() const;
Orientation orientation() const;
SphereH3<R> orthogonal_transform(const Aff_transformation_3& t) const;
bool is_degenerate() const;
SphereH3<R> opposite() const;
Bbox_3 bbox() const;
Oriented_side oriented_side(const Point_3& p) const;
bool
has_on_boundary(const Point_3& p) const
{ return oriented_side(p)==ON_ORIENTED_BOUNDARY; }
bool
has_on_positive_side(const Point_3& p) const
{ return oriented_side(p)==ON_POSITIVE_SIDE; }
bool
has_on_negative_side(const Point_3& p) const
{ return oriented_side(p)==ON_NEGATIVE_SIDE; }
Bounded_side
bounded_side(const Point_3& p) const;
bool
has_on_bounded_side(const Point_3& p) const
{ return bounded_side(p)==ON_BOUNDED_SIDE; }
bool
has_on_unbounded_side(const Point_3& p) const
{ return bounded_side(p)==ON_UNBOUNDED_SIDE; }
};
template < class R >
CGAL_KERNEL_INLINE
SphereH3<R>::SphereH3(const typename SphereH3<R>::Point_3& center,
const FT& squared_radius,
const Orientation& o)
{
CGAL_kernel_precondition( !( squared_radius < FT(0))
&&( o != COLLINEAR) );
base = Rep(center, squared_radius, o);
}
template <class R>
CGAL_KERNEL_INLINE
SphereH3<R>::SphereH3(const typename SphereH3<R>::Point_3& center,
const Orientation& o)
{
CGAL_kernel_precondition( ( o != COLLINEAR) );
base = Rep(center, FT(0), o);
}
template <class R>
CGAL_KERNEL_MEDIUM_INLINE
SphereH3<R>::SphereH3(const typename SphereH3<R>::Point_3& p,
const typename SphereH3<R>::Point_3& q,
const Orientation& o)
{
CGAL_kernel_precondition( o != COLLINEAR);
Point_3 center = midpoint(p,q);
FT squared_radius = squared_distance(p,center);
base = Rep(center, squared_radius, o);
}
template <class R>
CGAL_KERNEL_MEDIUM_INLINE
SphereH3<R>::SphereH3(const typename SphereH3<R>::Point_3& p,
const typename SphereH3<R>::Point_3& q,
const typename SphereH3<R>::Point_3& r,
const Orientation& o)
{
CGAL_kernel_precondition( o != COLLINEAR);
Point_3 center = circumcenter(p,q,r);
FT squared_radius = squared_distance(p,center);
base = Rep(center, squared_radius, o);
}
template <class R>
CGAL_KERNEL_MEDIUM_INLINE
SphereH3<R>::SphereH3(const typename SphereH3<R>::Point_3& p,
const typename SphereH3<R>::Point_3& q,
const typename SphereH3<R>::Point_3& r,
const typename SphereH3<R>::Point_3& s)
{
Orientation o = CGAL::orientation(p,q,r,s);
CGAL_kernel_precondition( o != COLLINEAR);
Point_3 center = circumcenter(p,q,r,s);
FT squared_radius = squared_distance(p,center);
base = Rep(center, squared_radius, o);
}
template <class R>
CGAL_KERNEL_INLINE
bool
SphereH3<R>::operator==(const SphereH3<R>& s) const
{
return ( orientation() == s.orientation())
&& ( center() == s.center())
&& ( squared_radius() == s.squared_radius());
}
template <class R>
inline
const typename SphereH3<R>::Point_3 &
SphereH3<R>::center() const
{ return get(base).first; }
template <class R>
inline
const typename SphereH3<R>::FT &
SphereH3<R>::squared_radius() const
{ return get(base).second; }
template <class R>
inline
Orientation
SphereH3<R>::orientation() const
{ return get(base).third; }
template <class R>
inline
bool
SphereH3<R>::is_degenerate() const
{ return squared_radius() <= FT(0) ; }
template <class R>
CGAL_KERNEL_MEDIUM_INLINE
Oriented_side
SphereH3<R>::oriented_side(const typename SphereH3<R>::Point_3& p) const
{ return Oriented_side(bounded_side(p) * orientation()); }
template <class R>
CGAL_KERNEL_INLINE
Bounded_side
SphereH3<R>::bounded_side(const typename SphereH3<R>::Point_3& p) const
{
return Bounded_side(CGAL_NTS compare(squared_radius(),
squared_distance(center(),p)));
}
template <class R>
inline
SphereH3<R>
SphereH3<R>::opposite() const
{
return SphereH3<R>(center(), squared_radius(),
CGAL::opposite(orientation()) );
}
template <class R>
CGAL_KERNEL_INLINE
Bbox_3
SphereH3<R>::bbox() const
{
Bbox_3 b = center().bbox();
Interval_nt<> x (b.xmin(), b.xmax());
Interval_nt<> y (b.ymin(), b.ymax());
Interval_nt<> z (b.zmin(), b.zmax());
Interval_nt<> sqr = CGAL_NTS to_interval(squared_radius());
Interval_nt<> r = CGAL::sqrt(sqr);
Interval_nt<> minx = x-r;
Interval_nt<> maxx = x+r;
Interval_nt<> miny = y-r;
Interval_nt<> maxy = y+r;
Interval_nt<> minz = z-r;
Interval_nt<> maxz = z+r;
return Bbox_3(minx.inf(), miny.inf(), minz.inf(),
maxx.sup(), maxy.sup(), maxz.sup());
}
#ifndef CGAL_NO_OSTREAM_INSERT_SPHEREH3
template < class R >
CGAL_KERNEL_INLINE
std::ostream &
operator<<(std::ostream &os, const SphereH3<R> &c)
{
switch(os.iword(IO::mode)) {
case IO::ASCII :
os << c.center() << ' ' << c.squared_radius() << ' '
<< static_cast<int>(c.orientation());
break;
case IO::BINARY :
os << c.center();
write(os, c.squared_radius());
write(os, static_cast<int>(c.orientation()));
break;
default:
os << "SphereH3(" << c.center() << ", " << c.squared_radius();
switch (c.orientation()) {
case CLOCKWISE:
os << ", clockwise)";
break;
case COUNTERCLOCKWISE:
os << ", counterclockwise)";
break;
default:
os << ", collinear)";
break;
}
break;
}
return os;
}
#endif // CGAL_NO_OSTREAM_INSERT_SPHEREH3
#ifndef CGAL_NO_ISTREAM_EXTRACT_SPHEREH3
template < class R >
CGAL_KERNEL_INLINE
std::istream &
operator>>(std::istream &is, SphereH3<R> &c)
{
typename R::Point_3 center;
typename R::FT squared_radius;
int o;
switch(is.iword(IO::mode)) {
case IO::ASCII :
is >> center >> squared_radius >> o;
break;
case IO::BINARY :
is >> center;
read(is, squared_radius);
is >> o;
break;
default:
std::cerr << "" << std::endl;
std::cerr << "Stream must be in ascii or binary mode" << std::endl;
break;
}
if (is)
c = SphereH3<R>(center, squared_radius,
static_cast<Orientation>(o));
return is;
}
#endif // CGAL_NO_ISTREAM_EXTRACT_SPHEREH3
CGAL_END_NAMESPACE
#endif // CGAL_SPHEREH3_H
syntax highlighted by Code2HTML, v. 0.9.1