301 lines
6.4 KiB
C++
301 lines
6.4 KiB
C++
// Copyright (c) 1999
|
|
// Utrecht University (The Netherlands),
|
|
// ETH Zurich (Switzerland),
|
|
// INRIA Sophia-Antipolis (France),
|
|
// Max-Planck-Institute Saarbruecken (Germany),
|
|
// and Tel-Aviv University (Israel). All rights reserved.
|
|
//
|
|
// This file is part of CGAL (www.cgal.org)
|
|
//
|
|
// $URL: https://github.com/CGAL/cgal/blob/v5.1/Kernel_23/include/CGAL/Line_2.h $
|
|
// $Id: Line_2.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
|
|
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
|
|
//
|
|
//
|
|
// Author(s) : Andreas Fabri
|
|
|
|
#ifndef CGAL_LINE_2_H
|
|
#define CGAL_LINE_2_H
|
|
|
|
#include <CGAL/assertions.h>
|
|
#include <boost/type_traits/is_same.hpp>
|
|
#include <CGAL/Kernel/Return_base_tag.h>
|
|
#include <CGAL/Dimension.h>
|
|
#include <CGAL/IO/io.h>
|
|
#include <CGAL/Kernel/mpl.h>
|
|
|
|
namespace CGAL {
|
|
|
|
template <class R_>
|
|
class Line_2 : public R_::Kernel_base::Line_2
|
|
{
|
|
typedef typename R_::RT RT;
|
|
typedef typename R_::FT FT;
|
|
typedef typename R_::Point_2 Point_2;
|
|
typedef typename R_::Segment_2 Segment_2;
|
|
typedef typename R_::Ray_2 Ray_2;
|
|
typedef typename R_::Vector_2 Vector_2;
|
|
typedef typename R_::Direction_2 Direction_2;
|
|
typedef typename R_::Aff_transformation_2 Aff_transformation_2;
|
|
typedef typename R_::Kernel_base::Line_2 RLine_2;
|
|
|
|
typedef Line_2 Self;
|
|
CGAL_static_assertion((boost::is_same<Self, typename R_::Line_2>::value));
|
|
|
|
public:
|
|
|
|
typedef Dimension_tag<2> Ambient_dimension;
|
|
typedef Dimension_tag<1> Feature_dimension;
|
|
|
|
typedef RLine_2 Rep;
|
|
|
|
const Rep& rep() const
|
|
{
|
|
return *this;
|
|
}
|
|
|
|
Rep& rep()
|
|
{
|
|
return *this;
|
|
}
|
|
|
|
typedef R_ R;
|
|
|
|
Line_2() {}
|
|
|
|
Line_2(const RLine_2& l) // conversion impl -> interface class
|
|
: RLine_2(l) {}
|
|
|
|
Line_2(const Point_2 &p, const Point_2 &q)
|
|
: RLine_2(typename R::Construct_line_2()(Return_base_tag(), p,q)) {}
|
|
|
|
Line_2(const RT &a, const RT &b, const RT &c)
|
|
: RLine_2(typename R::Construct_line_2()(Return_base_tag(), a,b,c)) {}
|
|
|
|
explicit Line_2(const Segment_2& s)
|
|
: RLine_2(typename R::Construct_line_2()(Return_base_tag(), s)) {}
|
|
|
|
explicit Line_2(const Ray_2& r)
|
|
: RLine_2(typename R::Construct_line_2()(Return_base_tag(), r)) {}
|
|
|
|
Line_2(const Point_2 &p, const Direction_2 &d)
|
|
: RLine_2(typename R::Construct_line_2()(Return_base_tag(), p,d)) {}
|
|
|
|
Line_2(const Point_2 &p, const Vector_2 &v)
|
|
: RLine_2(typename R::Construct_line_2()(Return_base_tag(), p,v)) {}
|
|
|
|
|
|
// FIXME : Use Qrt<> here.
|
|
RT a() const
|
|
{
|
|
return R().compute_a_2_object()(*this);
|
|
}
|
|
|
|
RT b() const
|
|
{
|
|
return R().compute_b_2_object()(*this);
|
|
}
|
|
|
|
RT c() const
|
|
{
|
|
return R().compute_c_2_object()(*this);
|
|
}
|
|
|
|
Line_2
|
|
transform(const Aff_transformation_2 &t) const
|
|
{
|
|
return Line_2(t.transform(point(0)),
|
|
t.transform(direction()));
|
|
}
|
|
|
|
Line_2
|
|
opposite() const
|
|
{
|
|
return R().construct_opposite_line_2_object()(*this);
|
|
}
|
|
|
|
Direction_2
|
|
direction() const
|
|
{
|
|
return R().construct_direction_2_object()(*this);
|
|
}
|
|
|
|
Vector_2
|
|
to_vector() const
|
|
{
|
|
return R().construct_vector_2_object()(*this);
|
|
}
|
|
|
|
Line_2
|
|
perpendicular(const Point_2 &p) const
|
|
{
|
|
return R().construct_perpendicular_line_2_object()(*this,p);
|
|
}
|
|
|
|
Point_2
|
|
projection(const Point_2& p) const
|
|
{
|
|
return R().construct_projected_point_2_object()(*this,p);
|
|
}
|
|
|
|
typename R::Boolean
|
|
is_horizontal() const
|
|
{
|
|
return R().is_horizontal_2_object()(*this);
|
|
}
|
|
|
|
typename R::Boolean
|
|
is_vertical() const
|
|
{
|
|
return R().is_vertical_2_object()(*this);
|
|
}
|
|
|
|
typename R::Boolean
|
|
is_degenerate() const
|
|
{ return R().is_degenerate_2_object()(*this); }
|
|
|
|
typename R::Oriented_side
|
|
oriented_side(const Point_2 &p) const
|
|
{
|
|
return R().oriented_side_2_object()(*this,p);
|
|
}
|
|
|
|
typename R::Boolean
|
|
has_on_boundary(const Point_2 &p) const
|
|
{
|
|
return oriented_side(p) == ON_ORIENTED_BOUNDARY;
|
|
}
|
|
|
|
typename R::Boolean
|
|
has_on_positive_side(const Point_2 &p) const
|
|
{
|
|
return oriented_side(p) == ON_POSITIVE_SIDE;
|
|
}
|
|
|
|
typename R::Boolean
|
|
has_on_negative_side(const Point_2 &p) const
|
|
{
|
|
return oriented_side(p) == ON_NEGATIVE_SIDE;
|
|
}
|
|
|
|
typename R::Boolean
|
|
has_on(const Point_2 &p) const
|
|
{
|
|
return has_on_boundary(p);
|
|
}
|
|
|
|
FT
|
|
x_at_y(const FT &y) const
|
|
{
|
|
return R().compute_x_at_y_2_object()(*this, y);
|
|
}
|
|
|
|
FT
|
|
y_at_x(const FT &y) const
|
|
{
|
|
return R().compute_y_at_x_2_object()(*this, y);
|
|
}
|
|
|
|
Point_2
|
|
point() const
|
|
{
|
|
return R().construct_point_2_object()(*this);
|
|
}
|
|
|
|
Point_2
|
|
point(const int i) const
|
|
{
|
|
return R().construct_point_2_object()(*this, RT(i));
|
|
}
|
|
|
|
Point_2
|
|
point(const typename First_if_different<RT, int, 1>::Type& i) const
|
|
{
|
|
return R().construct_point_2_object()(*this,i);
|
|
}
|
|
|
|
Point_2
|
|
point(const typename First_if_different<
|
|
const typename First_if_different<FT, RT, 2>::Type, int>::Type& i) const
|
|
{
|
|
return R().construct_point_2_object()(*this,i);
|
|
}
|
|
|
|
typename R::Boolean
|
|
operator==(const Line_2 &l) const
|
|
{
|
|
return R().equal_2_object()(*this, l);
|
|
}
|
|
|
|
typename R::Boolean
|
|
operator!=(const Line_2 &l) const
|
|
{
|
|
return !(*this == l);
|
|
}
|
|
|
|
};
|
|
|
|
|
|
template <class R >
|
|
std::ostream&
|
|
insert(std::ostream& os, const Line_2<R>& l)
|
|
{
|
|
switch(get_mode(os)) {
|
|
case IO::ASCII :
|
|
return os << l.a() << ' ' << l.b() << ' ' << l.c();
|
|
case IO::BINARY :
|
|
write(os, l.a());
|
|
write(os, l.b());
|
|
write(os, l.c());
|
|
return os;
|
|
default:
|
|
return os << "Line_2(" << l.a()
|
|
<< ", " << l.b() << ", " << l.c() <<')';
|
|
}
|
|
}
|
|
|
|
template < class R >
|
|
std::ostream &
|
|
operator<<(std::ostream &os, const Line_2<R> &l)
|
|
{
|
|
return insert(os, l);
|
|
}
|
|
|
|
|
|
template <class R >
|
|
std::istream&
|
|
extract(std::istream& is, Line_2<R>& l)
|
|
{
|
|
typename R::RT a(0), b(0), c(0);
|
|
switch(get_mode(is)) {
|
|
case IO::ASCII :
|
|
is >> iformat(a) >> iformat(b) >> iformat(c);
|
|
break;
|
|
case IO::BINARY :
|
|
read(is, a);
|
|
read(is, b);
|
|
read(is, c);
|
|
break;
|
|
default:
|
|
is.setstate(std::ios::failbit);
|
|
std::cerr << "" << std::endl;
|
|
std::cerr << "Stream must be in ascii or binary mode" << std::endl;
|
|
break;
|
|
}
|
|
if (is)
|
|
l = Line_2<R>(a, b, c);
|
|
return is;
|
|
}
|
|
|
|
|
|
template < class R >
|
|
std::istream &
|
|
operator>>(std::istream &is, Line_2<R> &l)
|
|
{
|
|
return extract(is, l);
|
|
}
|
|
|
|
} //namespace CGAL
|
|
|
|
#endif // CGAL_LINE_2_H
|