cgal/Kernel_23/include/CGAL/Circle_2.h

296 lines
7.4 KiB
C++

// 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.
//
// $URL$
// $Id$
//
//
// Author(s) : Andreas Fabri
// Sven Schoenherr
#ifndef CGAL_CIRCLE_2_H
#define CGAL_CIRCLE_2_H
#include <boost/static_assert.hpp>
#include <boost/type_traits.hpp>
#include <CGAL/Kernel/Return_base_tag.h>
#include <CGAL/Bbox_2.h>
CGAL_BEGIN_NAMESPACE
template <class R_>
class Circle_2 : public R_::Kernel_base::Circle_2
{
typedef typename R_::FT FT;
typedef typename R_::Point_2 Point_2;
typedef typename R_::Kernel_base::Circle_2 RCircle_2;
typedef typename R_::Aff_transformation_2 Aff_transformation_2;
typedef Circle_2 Self;
BOOST_STATIC_ASSERT((boost::is_same<Self, typename R_::Circle_2>::value));
public:
typedef RCircle_2 Rep;
const Rep& rep() const
{
return *this;
}
Rep& rep()
{
return *this;
}
typedef R_ R;
Circle_2() {}
Circle_2(const RCircle_2& t)
: RCircle_2(t) {}
Circle_2(const Point_2 &center, const FT &squared_radius,
const Orientation &orientation)
: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), center, squared_radius, orientation)) {}
Circle_2(const Point_2 &center, const FT &squared_radius)
: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), center, squared_radius, COUNTERCLOCKWISE)) {}
Circle_2(const Point_2 &p, const Point_2 &q, const Point_2 &r)
: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), p, q, r)) {}
Circle_2(const Point_2 & p, const Point_2 & q,
const Orientation &orientation)
: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), p, q, orientation)) {}
Circle_2(const Point_2 & p, const Point_2 & q)
: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), p, q, COUNTERCLOCKWISE)) {}
Circle_2(const Point_2 & p, const Point_2 & q, const FT &bulge)
: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), p, q, bulge)) {}
Circle_2(const Point_2 & center, const Orientation& orientation)
: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), center, FT(0), orientation)) {}
Circle_2(const Point_2 & center)
: RCircle_2(typename R::Construct_circle_2()(Return_base_tag(), center, FT(0), COUNTERCLOCKWISE)) {}
typename Qualified_result_of<typename R::Construct_center_2,Circle_2>::type
center() const
{
return R().construct_center_2_object()(*this);
}
typename Qualified_result_of<typename R::Compute_squared_radius_2,Circle_2>::type
squared_radius() const
{
return R().compute_squared_radius_2_object()(*this);
}
Orientation orientation() const
{
return R().orientation_2_object()(*this);
}
Bounded_side
bounded_side(const Point_2 &p) const
{
return R().bounded_side_2_object()(*this, p);
}
Oriented_side
oriented_side(const Point_2 &p) const
{
return R().oriented_side_2_object()(*this, p);
}
bool
has_on_boundary(const Point_2 &p) const
{
return bounded_side(p) == ON_BOUNDARY;
}
bool
has_on_bounded_side(const Point_2 &p) const
{
return bounded_side(p) == ON_BOUNDED_SIDE;
}
bool
has_on_unbounded_side(const Point_2 &p) const
{
return bounded_side(p) == ON_UNBOUNDED_SIDE;
}
bool
has_on_negative_side(const Point_2 &p) const
{
if (orientation() == COUNTERCLOCKWISE)
return has_on_unbounded_side(p);
return has_on_bounded_side(p);
}
bool
has_on_positive_side(const Point_2 &p) const
{
if (orientation() == COUNTERCLOCKWISE)
return has_on_bounded_side(p);
return has_on_unbounded_side(p);
}
bool
is_degenerate() const
{
return CGAL_NTS is_zero(squared_radius());
}
Circle_2
opposite() const
{
//return R().construct_opposite_circle_2_object()(*this);
return Circle_2(center(),
squared_radius(),
CGAL::opposite(orientation()) );
}
Bbox_2
bbox() const
{
return R().construct_bbox_2_object()(*this);
}
bool
operator==(const Circle_2 &c) const
{
return R().equal_2_object()(*this, c);
}
bool
operator!=(const Circle_2 &c) const
{
return !(*this == c);
}
Circle_2 transform(const Aff_transformation_2 &t) const
{
return t.transform(*this);
}
Circle_2 orthogonal_transform(const Aff_transformation_2 &t) const;
};
template <class R_>
Circle_2<R_>
Circle_2<R_>::
orthogonal_transform(const typename R_::Aff_transformation_2& t) const
{
typedef typename R_::RT RT;
typedef typename R_::FT FT;
typedef typename R_::Vector_2 Vector_2;
Vector_2 vec(RT(1), RT(0) ); // unit vector // AF: was FT
vec = vec.transform(t); // transformed
FT sq_scale = vec.squared_length(); // squared scaling factor
return Circle_2(t.transform(center()),
sq_scale * squared_radius(),
t.is_even() ? orientation()
: CGAL::opposite(orientation()));
}
template <class R >
std::ostream&
insert(std::ostream& os, const Circle_2<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 << "Circle_2(" << 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;
}
template < class R >
std::ostream &
operator<<(std::ostream &os, const Circle_2<R> &c)
{
return insert(os, c);
}
template <class R >
std::istream&
extract(std::istream& is, Circle_2<R>& c)
{
typename R::Point_2 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 = Circle_2<R>(center, squared_radius, static_cast<Orientation>(o));
return is;
}
template < class R >
std::istream &
operator>>(std::istream &is, Circle_2<R> &c)
{
return extract(is,c);
}
CGAL_END_NAMESPACE
#endif // CGAL_CIRCLE_2_H