// 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/H2/include/CGAL/Homogeneous/Iso_rectangleH2.h,v $
// $Revision: 1.15 $ $Date: 2004/02/19 20:26:35 $
// $Name: $
//
// Author(s) : Stefan Schirra
#ifndef CGAL_ISO_RECTANGLEH2_H
#define CGAL_ISO_RECTANGLEH2_H
#include <CGAL/Twotuple.h>
CGAL_BEGIN_NAMESPACE
template <class R_>
class Iso_rectangleH2
{
typedef typename R_::FT FT;
typedef typename R_::RT RT;
typedef typename R_::Point_2 Point_2;
typedef typename R_::Aff_transformation_2 Aff_transformation_2;
typedef Twotuple<Point_2> Rep;
typedef typename R_::template Handle<Rep>::type Base;
Base base;
public:
typedef R_ R;
Iso_rectangleH2() {}
Iso_rectangleH2(const Point_2& p, const Point_2& q);
Iso_rectangleH2(const Point_2& left, const Point_2& right,
const Point_2& bottom, const Point_2& top);
Iso_rectangleH2(const RT& min_hx, const RT& min_hy,
const RT& max_hx, const RT& max_hy);
Iso_rectangleH2(const RT& min_hx, const RT& min_hy,
const RT& max_hx, const RT& max_hy, const RT& hw);
bool operator==(const Iso_rectangleH2<R>& s) const;
bool operator!=(const Iso_rectangleH2<R>& s) const;
const Point_2 & min() const;
const Point_2 & max() const;
Point_2 vertex(int i) const;
Point_2 operator[](int i) const;
Iso_rectangleH2<R>
transform(const Aff_transformation_2& t) const;
Bounded_side
bounded_side(const Point_2& p) const;
bool has_on(const Point_2& p) const;
bool has_on_boundary(const Point_2& p) const;
bool has_on_bounded_side(const Point_2& p) const;
bool has_on_unbounded_side(const Point_2& p) const;
bool is_degenerate() const;
Bbox_2 bbox() const;
FT xmin() const;
FT ymin() const;
FT xmax() const;
FT ymax() const;
FT min_coord(int i) const;
FT max_coord(int i) const;
FT area() const;
};
template < class R >
CGAL_KERNEL_MEDIUM_INLINE
Iso_rectangleH2<R>::
Iso_rectangleH2(const typename Iso_rectangleH2<R>::Point_2& p,
const typename Iso_rectangleH2<R>::Point_2& q)
{
bool px_g_qx = ( p.hx()*q.hw() > q.hx()*p.hw() );
bool py_g_qy = ( p.hy()*q.hw() > q.hy()*p.hw() );
if ( px_g_qx || py_g_qy)
{
if ( px_g_qx && py_g_qy )
{
base = Rep(q, p);
}
else
{
if ( px_g_qx )
{
base = Rep(
Point_2(q.hx()*p.hw(), p.hy()*q.hw(), q.hw()*p.hw() ),
Point_2(p.hx()*q.hw(), q.hy()*p.hw(), q.hw()*p.hw() ));
}
if ( py_g_qy )
{
base = Rep(
Point_2(p.hx()*q.hw(), q.hy()*p.hw(), q.hw()*p.hw() ),
Point_2(q.hx()*p.hw(), p.hy()*q.hw(), q.hw()*p.hw() ));
}
}
}
else
{
base = Rep(p, q);
}
}
template < class R >
CGAL_KERNEL_MEDIUM_INLINE
Iso_rectangleH2<R>::
Iso_rectangleH2(const typename Iso_rectangleH2<R>::Point_2& left,
const typename Iso_rectangleH2<R>::Point_2& right,
const typename Iso_rectangleH2<R>::Point_2& bottom,
const typename Iso_rectangleH2<R>::Point_2& top)
: base(Point_2(left.hx() * bottom.hw(),
bottom.hy() * left.hw(),
left.hw() * bottom.hw()),
Point_2(right.hx() * top.hw(),
top.hy() * right.hw(),
right.hw() * top.hw()))
{
CGAL_kernel_precondition(!less_x(right, left));
CGAL_kernel_precondition(!less_y(top, bottom));
}
template < class R >
inline
Iso_rectangleH2<R>::Iso_rectangleH2(const RT& min_hx, const RT& min_hy,
const RT& max_hx, const RT& max_hy)
: base(Point_2(min_hx, min_hy), Point_2(max_hx, max_hy))
{}
template < class R >
inline
Iso_rectangleH2<R>::Iso_rectangleH2(const RT& min_hx, const RT& min_hy,
const RT& max_hx, const RT& max_hy,
const RT& hw)
: base(Point_2(min_hx, min_hy, hw), Point_2(max_hx, max_hy, hw))
{}
template < class R >
inline
bool
Iso_rectangleH2<R>::operator==(const Iso_rectangleH2<R>& r) const
{ return vertex(0) == r.vertex(0) && vertex(2) == r.vertex(2); }
template < class R >
inline
bool
Iso_rectangleH2<R>::operator!=(const Iso_rectangleH2<R>& r) const
{ return !(*this == r); }
template < class R >
inline
const typename Iso_rectangleH2<R>::Point_2 &
Iso_rectangleH2<R>::min() const
{ return get(base).e0; }
template < class R >
inline
const typename Iso_rectangleH2<R>::Point_2 &
Iso_rectangleH2<R>::max() const
{ return get(base).e1; }
template < class R >
inline
typename Iso_rectangleH2<R>::FT
Iso_rectangleH2<R>::xmin() const
{ return FT( min().hx() ) / FT( min().hw() ); }
template < class R >
inline
typename Iso_rectangleH2<R>::FT
Iso_rectangleH2<R>::ymin() const
{ return FT( min().hy() ) / FT( min().hw() ); }
template < class R >
inline
typename Iso_rectangleH2<R>::FT
Iso_rectangleH2<R>::xmax() const
{ return FT( max().hx() ) / FT( max().hw() ); }
template < class R >
inline
typename Iso_rectangleH2<R>::FT
Iso_rectangleH2<R>::ymax() const
{ return FT( max().hy() ) / FT( max().hw() ); }
template < class R >
inline
typename Iso_rectangleH2<R>::FT
Iso_rectangleH2<R>::min_coord(int i) const
{
CGAL_kernel_precondition ( i == 0 || i == 1 );
if (i == 0)
return xmin();
else
return ymin();
}
template < class R >
inline
typename Iso_rectangleH2<R>::FT
Iso_rectangleH2<R>::max_coord(int i) const
{
CGAL_kernel_precondition ( i == 0 || i == 1 );
if (i == 0)
return xmax();
else
return ymax();
}
template < class R >
inline
typename Iso_rectangleH2<R>::FT
Iso_rectangleH2<R>::area() const
{ return (xmax() - xmin()) * (ymax() - ymin()); }
template < class R >
CGAL_KERNEL_INLINE
typename Iso_rectangleH2<R>::Point_2
Iso_rectangleH2<R>::vertex(int i) const
{
switch (i%4)
{
case 0:
return min();
case 1:
return Point_2( max().hx()*min().hw(),
min().hy()*max().hw(),
min().hw()*max().hw() );
case 2:
return max();
default: // case 3:
return Point_2( min().hx()*max().hw(),
max().hy()*min().hw(),
min().hw()*max().hw() );
}
}
template < class R >
inline
typename Iso_rectangleH2<R>::Point_2
Iso_rectangleH2<R>::operator[](int i) const
{ return vertex(i); }
template < class R >
CGAL_KERNEL_INLINE
Bounded_side
Iso_rectangleH2<R>::
bounded_side(const typename Iso_rectangleH2<R>::Point_2& p) const
{
Oriented_side wrt_min = _where_wrt_L_wedge(min(),p);
Oriented_side wrt_max = _where_wrt_L_wedge(p,max());
if (( wrt_min == ON_NEGATIVE_SIDE )||( wrt_max == ON_NEGATIVE_SIDE))
{
return ON_UNBOUNDED_SIDE;
}
if ( ( wrt_min == ON_ORIENTED_BOUNDARY )
||( wrt_max == ON_ORIENTED_BOUNDARY ) )
{
return ON_BOUNDARY;
}
return ON_BOUNDED_SIDE;
}
template < class R >
inline
bool
Iso_rectangleH2<R>::
has_on_boundary(const typename Iso_rectangleH2<R>::Point_2& p) const
{ return ( bounded_side(p) == ON_BOUNDARY ); }
template < class R >
inline
bool
Iso_rectangleH2<R>::has_on(const typename Iso_rectangleH2<R>::Point_2& p) const
{ return ( bounded_side(p) == ON_BOUNDARY ); }
template < class R >
inline
bool
Iso_rectangleH2<R>::
has_on_bounded_side(const typename Iso_rectangleH2<R>::Point_2& p) const
{ return ( bounded_side(p) == ON_BOUNDED_SIDE ); }
template < class R >
CGAL_KERNEL_INLINE
bool
Iso_rectangleH2<R>::
has_on_unbounded_side(const typename Iso_rectangleH2<R>::Point_2& p) const
{
return ( (_where_wrt_L_wedge(min(),p) == ON_NEGATIVE_SIDE)
||(_where_wrt_L_wedge(p,max()) == ON_NEGATIVE_SIDE) );
}
template < class R >
CGAL_KERNEL_INLINE
bool
Iso_rectangleH2<R>::is_degenerate() const
{
return ( ( min().hx()*max().hw() == max().hx()*min().hw() )
|| ( min().hy()*max().hw() == max().hy()*min().hw() ) );
}
template < class R >
inline
Bbox_2
Iso_rectangleH2<R>::bbox() const
{ return min().bbox() + max().bbox(); }
template < class R >
CGAL_KERNEL_INLINE
Iso_rectangleH2<R>
Iso_rectangleH2<R>::
transform(const typename Iso_rectangleH2<R>::Aff_transformation_2&t) const
{
return Iso_rectangleH2<R>(t.transform(min() ), t.transform(max() ) );
}
#ifndef CGAL_NO_OSTREAM_INSERT_ISO_RECTANGLEH2
template < class R >
std::ostream& operator<<(std::ostream& os, const Iso_rectangleH2<R>& r)
{
switch(os.iword(IO::mode))
{
case IO::ASCII :
return os << r[0] << ' ' << r[2];
case IO::BINARY :
return os << r[0] << r[2];
default:
return os << "Iso_rectangleH2(" << r[0] << ", " << r[2] << ")";
}
}
#endif // CGAL_NO_OSTREAM_INSERT_ISO_RECTANGLEH2
#ifndef CGAL_NO_ISTREAM_EXTRACT_ISO_RECTANGLEH2
template < class R >
std::istream& operator>>(std::istream& is, Iso_rectangleH2<R>& r)
{
typename R::Point_2 p, q;
is >> p >> q;
r = Iso_rectangleH2<R>(p, q);
return is;
}
#endif // CGAL_NO_ISTREAM_EXTRACT_ISO_RECTANGLEH2
CGAL_END_NAMESPACE
#endif // CGAL_ISO_RECTANGLEH2_H
syntax highlighted by Code2HTML, v. 0.9.1