cgal/Packages/Cartesian_kernel/include/CGAL/Cartesian/Segment_2.h

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6.9 KiB
C++

// Copyright (c) 2000 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.
//
// $Source$
// $Revision$ $Date$
// $Name$
//
// Author(s) : Andreas Fabri, Herve Bronnimann
#ifndef CGAL_CARTESIAN_SEGMENT_2_H
#define CGAL_CARTESIAN_SEGMENT_2_H
#include <CGAL/Twotuple.h>
#include <CGAL/Cartesian/predicates_on_points_2.h>
CGAL_BEGIN_NAMESPACE
template < class R_ >
class SegmentC2
{
typedef typename R_::FT FT;
typedef typename R_::Point_2 Point_2;
typedef typename R_::Vector_2 Vector_2;
typedef typename R_::Direction_2 Direction_2;
typedef typename R_::Line_2 Line_2;
typedef typename R_::Segment_2 Segment_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;
SegmentC2() {}
SegmentC2(const Point_2 &sp, const Point_2 &ep)
: base(sp, ep) {}
bool is_horizontal() const;
bool is_vertical() const;
bool has_on(const Point_2 &p) const;
bool collinear_has_on(const Point_2 &p) const;
bool operator==(const SegmentC2 &s) const;
bool operator!=(const SegmentC2 &s) const;
const Point_2 & source() const
{
return get(base).e0;
}
const Point_2 & target() const
{
return get(base).e1;
}
const Point_2 & start() const;
const Point_2 & end() const;
const Point_2 & min() const;
const Point_2 & max() const;
const Point_2 & vertex(int i) const;
const Point_2 & point(int i) const;
const Point_2 & operator[](int i) const;
FT squared_length() const;
Direction_2 direction() const;
Vector_2 to_vector() const;
Line_2 supporting_line() const;
Segment_2 opposite() const;
Segment_2 transform(const Aff_transformation_2 &t) const
{
return SegmentC2<R>(t.transform(source()), t.transform(target()));
}
bool is_degenerate() const;
Bbox_2 bbox() const;
};
template < class R >
inline
bool
SegmentC2<R>::operator==(const SegmentC2<R> &s) const
{
if (CGAL::identical(base, s.base))
return true;
return source() == s.source() && target() == s.target();
}
template < class R >
inline
bool
SegmentC2<R>::operator!=(const SegmentC2<R> &s) const
{
return !(*this == s);
}
template < class R >
inline
const typename SegmentC2<R>::Point_2 &
SegmentC2<R>::start() const
{
return source();
}
template < class R >
inline
const typename SegmentC2<R>::Point_2 &
SegmentC2<R>::end() const
{
return target();
}
template < class R >
CGAL_KERNEL_INLINE
const typename SegmentC2<R>::Point_2 &
SegmentC2<R>::min() const
{
typename R::Less_xy_2 less_xy;
return less_xy(source(),target()) ? source() : target();
}
template < class R >
CGAL_KERNEL_INLINE
const typename SegmentC2<R>::Point_2 &
SegmentC2<R>::max() const
{
typename R::Less_xy_2 less_xy;
return less_xy(source(),target()) ? target() : source();
}
template < class R >
CGAL_KERNEL_INLINE
const typename SegmentC2<R>::Point_2 &
SegmentC2<R>::vertex(int i) const
{
return (i%2 == 0) ? source() : target();
}
template < class R >
inline
const typename SegmentC2<R>::Point_2 &
SegmentC2<R>::point(int i) const
{
return vertex(i);
}
template < class R >
inline
const typename SegmentC2<R>::Point_2 &
SegmentC2<R>::operator[](int i) const
{
return vertex(i);
}
template < class R >
CGAL_KERNEL_INLINE
typename SegmentC2<R>::FT
SegmentC2<R>::squared_length() const
{
return squared_distance(source(), target());
}
template < class R >
CGAL_KERNEL_INLINE
typename SegmentC2<R>::Direction_2
SegmentC2<R>::direction() const
{
typename R::Construct_vector_2 construct_vector;
return Direction_2( construct_vector( source(), target()));
}
template < class R >
CGAL_KERNEL_INLINE
typename SegmentC2<R>::Vector_2
SegmentC2<R>::to_vector() const
{
typename R::Construct_vector_2 construct_vector;
return construct_vector( source(), target());
}
template < class R >
inline
typename SegmentC2<R>::Line_2
SegmentC2<R>::supporting_line() const
{
typename R::Construct_line_2 construct_line;
return construct_line(*this);
}
template < class R >
inline
typename SegmentC2<R>::Segment_2
SegmentC2<R>::opposite() const
{
return Segment_2(target(), source());
}
template < class R >
CGAL_KERNEL_INLINE
Bbox_2
SegmentC2<R>::bbox() const
{
typename R::Construct_bbox_2 construct_bbox_2;
return construct_bbox_2(source()) + construct_bbox_2(target());
}
template < class R >
inline
bool
SegmentC2<R>::is_degenerate() const
{
return R().equal_2_object()(source(), target());
}
template < class R >
CGAL_KERNEL_INLINE
bool
SegmentC2<R>::is_horizontal() const
{
return R().equal_y_2_object()(source(), target());
}
template < class R >
CGAL_KERNEL_INLINE
bool
SegmentC2<R>::is_vertical() const
{
return R().equal_x_2_object()(source(), target());
}
template < class R >
CGAL_KERNEL_INLINE
bool
SegmentC2<R>::
has_on(const typename SegmentC2<R>::Point_2 &p) const
{
return R().are_ordered_along_line_2_object()(source(),
p,
target());
}
template < class R >
inline
bool
SegmentC2<R>::
collinear_has_on(const typename SegmentC2<R>::Point_2 &p) const
{
return R().collinear_has_on_2_object()(*this, p);
}
#ifndef CGAL_NO_OSTREAM_INSERT_SEGMENTC2
template < class R >
std::ostream &
operator<<(std::ostream &os, const SegmentC2<R> &s)
{
switch(os.iword(IO::mode)) {
case IO::ASCII :
return os << s.source() << ' ' << s.target();
case IO::BINARY :
return os << s.source() << s.target();
default:
return os << "SegmentC2(" << s.source() << ", " << s.target() << ")";
}
}
#endif // CGAL_NO_OSTREAM_INSERT_SEGMENTC2
#ifndef CGAL_NO_ISTREAM_EXTRACT_SEGMENTC2
template < class R >
std::istream &
operator>>(std::istream &is, SegmentC2<R> &s)
{
typename R::Point_2 p, q;
is >> p >> q;
if (is)
s = SegmentC2<R>(p, q);
return is;
}
#endif // CGAL_NO_ISTREAM_EXTRACT_SEGMENTC2
CGAL_END_NAMESPACE
#endif // CGAL_CARTESIAN_SEGMENT_2_H