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cgal/Packages/Cartesian_kernel/include/CGAL/Cartesian/Line_2.h

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// ======================================================================
//
// Copyright (c) 2000 The CGAL Consortium
//
// This software and related documentation is part of an INTERNAL release
// of the Computational Geometry Algorithms Library (CGAL). It is not
// intended for general use.
//
// ----------------------------------------------------------------------
//
// release :
// release_date :
//
// file : include/CGAL/Cartesian/Line_2.h
// revision : $Revision$
// revision_date : $Date$
// author(s) : Andreas Fabri, Herve Bronnimann
// coordinator : INRIA Sophia-Antipolis (Mariette.Yvinec@sophia.inria.fr)
//
// ======================================================================
#ifndef CGAL_CARTESIAN_LINE_2_H
#define CGAL_CARTESIAN_LINE_2_H
#include <CGAL/Cartesian/redefine_names_2.h>
#include <CGAL/Cartesian/predicates_on_lines_2.h>
CGAL_BEGIN_NAMESPACE
template < class R_ >
class LineC2 CGAL_ADVANCED_KERNEL_PARTIAL_SPEC
: public R_::Line_handle_2
{
public:
typedef R_ R;
typedef typename R::FT FT;
typedef typename R::RT RT;
typedef typename R::Line_handle_2 Line_handle_2_;
typedef typename Line_handle_2_::element_type Line_ref_2;
#ifndef CGAL_CFG_NO_ADVANCED_KERNEL
typedef LineC2<R,Cartesian_tag> Self;
typedef typename R::Point_2 Point_2;
typedef typename R::Vector_2 Vector_2;
typedef typename R::Direction_2 Direction_2;
typedef typename R::Ray_2 Ray_2;
typedef typename R::Triangle_2 Triangle_2;
typedef typename R::Segment_2 Segment_2;
typedef typename R::Iso_rectangle_2 Iso_rectangle_2;
typedef typename R::Aff_transformation_2 Aff_transformation_2;
typedef typename R::Circle_2 Circle_2;
#else
typedef LineC2<R> Self;
typedef typename R::Point_2_base Point_2;
typedef typename R::Vector_2_base Vector_2;
typedef typename R::Direction_2_base Direction_2;
typedef typename R::Ray_2_base Ray_2;
typedef typename R::Triangle_2_base Triangle_2;
typedef typename R::Segment_2_base Segment_2;
typedef typename R::Iso_rectangle_2_base Iso_rectangle_2;
typedef typename R::Aff_transformation_2_base Aff_transformation_2;
typedef typename R::Circle_2_base Circle_2;
#endif
LineC2()
: Line_handle_2_(Line_ref_2()) {}
LineC2(const Point_2 &p, const Point_2 &q)
: Line_handle_2_(line_from_points(p, q)) {}
LineC2(const FT &a, const FT &b, const FT &c)
: Line_handle_2_(Line_ref_2(a, b, c)) {}
LineC2(const Segment_2 &s)
: Line_handle_2_(line_from_points(s.source(), s.target())) {}
LineC2(const Ray_2 &r)
: Line_handle_2_(line_from_points(r.point(0), r.point(1))) {}
LineC2(const Point_2 &p, const Direction_2 &d)
: Line_handle_2_(line_from_point_direction(p, d)) {}
bool operator==(const Self &l) const;
bool operator!=(const Self &l) const;
const FT & a() const
{
return Ptr()->e0;
}
const FT & b() const
{
return Ptr()->e1;
}
const FT & c() const
{
return Ptr()->e2;
}
FT x_at_y(const FT &y) const;
FT y_at_x(const FT &x) const;
Self perpendicular(const Point_2 &p) const;
Self opposite() const;
Point_2 point(int i) const;
Point_2 point() const;
Point_2 projection(const Point_2 &p) const;
Direction_2 direction() const;
Oriented_side oriented_side(const Point_2 &p) const;
bool has_on_boundary(const Point_2 &p) const;
bool has_on_positive_side(const Point_2 &p) const;
bool has_on_negative_side(const Point_2 &p) const;
bool has_on(const Point_2 &p) const { return has_on_boundary(p); }
bool is_horizontal() const;
bool is_vertical() const;
bool is_degenerate() const;
Self transform(const Aff_transformation_2 &t) const
{
return LineC2<R CGAL_CTAG>(t.transform(point(0)),
t.transform(direction()));
}
};
#ifdef CGAL_CFG_TYPENAME_BUG
#define typename
#endif
template < class R >
CGAL_KERNEL_INLINE
bool
LineC2<R CGAL_CTAG>::operator==(const LineC2<R CGAL_CTAG> &l) const
{
if (identical(l))
return true;
return equal_line(*this, l);
}
template < class R >
inline
bool
LineC2<R CGAL_CTAG>::operator!=(const LineC2<R CGAL_CTAG> &l) const
{
return !(*this == l);
}
template < class R >
inline
bool
LineC2<R CGAL_CTAG>::is_horizontal() const
{ // FIXME : predicate
return CGAL_NTS is_zero(a());
}
template < class R >
inline
bool
LineC2<R CGAL_CTAG>::is_vertical() const
{ // FIXME : predicate
return CGAL_NTS is_zero(b());
}
template < class R >
CGAL_KERNEL_INLINE
typename LineC2<R CGAL_CTAG>::FT
LineC2<R CGAL_CTAG>::x_at_y(const typename LineC2<R CGAL_CTAG>::FT &y) const
{
CGAL_kernel_precondition_msg( ! is_horizontal(),
"Line::x_at_y(FT y) is undefined for horizontal line");
return line_x_at_y(*this, y);
}
template < class R >
CGAL_KERNEL_INLINE
typename LineC2<R CGAL_CTAG>::FT
LineC2<R CGAL_CTAG>::y_at_x(const typename LineC2<R CGAL_CTAG>::FT &x) const
{
CGAL_kernel_precondition_msg( ! is_vertical(),
"Line::y_at_x(FT x) is undefined for vertical line");
return line_y_at_x(*this, x);
}
template < class R >
inline
LineC2<R CGAL_CTAG>
LineC2<R CGAL_CTAG>::
perpendicular(const typename LineC2<R CGAL_CTAG>::Point_2 &p) const
{
return perpendicular_through_point(*this, p);
}
template < class R >
inline
LineC2<R CGAL_CTAG>
LineC2<R CGAL_CTAG>::opposite() const
{ // FIXME : construction
return LineC2<R CGAL_CTAG>( -a(), -b(), -c() );
}
template < class R >
CGAL_KERNEL_INLINE
typename LineC2<R CGAL_CTAG>::Point_2
LineC2<R CGAL_CTAG>::point(int i) const
{
return line_get_point(*this, i);
}
template < class R >
CGAL_KERNEL_INLINE
typename LineC2<R CGAL_CTAG>::Point_2
LineC2<R CGAL_CTAG>::point() const
{
return line_get_point(*this, 0);
}
template < class R >
CGAL_KERNEL_MEDIUM_INLINE
typename LineC2<R CGAL_CTAG>::Point_2
LineC2<R CGAL_CTAG>::
projection(const typename LineC2<R CGAL_CTAG>::Point_2 &p) const
{
return line_project_point(*this, p);
}
template < class R >
inline
typename LineC2<R CGAL_CTAG>::Direction_2
LineC2<R CGAL_CTAG>::direction() const
{ // FIXME : construction
return Direction_2( b(), -a() );
}
template < class R >
CGAL_KERNEL_INLINE
Oriented_side
LineC2<R CGAL_CTAG>::
oriented_side(const typename LineC2<R CGAL_CTAG>::Point_2 &p) const
{
return side_of_oriented_line(*this, p);
}
template < class R >
inline
bool
LineC2<R CGAL_CTAG>::
has_on_boundary(const typename LineC2<R CGAL_CTAG>::Point_2 &p) const
{
return oriented_side(p) == ON_ORIENTED_BOUNDARY;
}
template < class R >
inline
bool
LineC2<R CGAL_CTAG>::
has_on_positive_side(const typename LineC2<R CGAL_CTAG>::Point_2 &p) const
{
return oriented_side(p) == ON_POSITIVE_SIDE;
}
template < class R >
CGAL_KERNEL_INLINE
bool
LineC2<R CGAL_CTAG>::
has_on_negative_side(const typename LineC2<R CGAL_CTAG>::Point_2 &p) const
{
return oriented_side(p) == ON_NEGATIVE_SIDE;
}
template < class R >
inline
bool
LineC2<R CGAL_CTAG>::is_degenerate() const
{
return is_horizontal() && is_vertical();
}
#ifndef CGAL_NO_OSTREAM_INSERT_LINEC2
template < class R >
std::ostream &
operator<<(std::ostream &os, const LineC2<R CGAL_CTAG> &l)
{
switch(os.iword(IO::mode)) {
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 << "LineC2(" << l.a()
<< ", " << l.b() << ", " << l.c() <<')';
}
}
#endif // CGAL_NO_OSTREAM_INSERT_LINEC2
#ifndef CGAL_NO_ISTREAM_EXTRACT_LINEC2
template < class R >
std::istream &
operator>>(std::istream &is, LineC2<R CGAL_CTAG> &l)
{
typename LineC2<R CGAL_CTAG>::FT a, b, c;
switch(is.iword(IO::mode)) {
case IO::ASCII :
is >> a >> b >> c;
break;
case IO::BINARY :
read(is, a);
read(is, b);
read(is, c);
break;
default:
std::cerr << "" << std::endl;
std::cerr << "Stream must be in ascii or binary mode" << std::endl;
break;
}
if (is)
l = LineC2<R CGAL_CTAG>(a, b, c);
return is;
}
#endif // CGAL_NO_ISTREAM_EXTRACT_LINEC2
#ifdef CGAL_CFG_TYPENAME_BUG
#undef typename
#endif
CGAL_END_NAMESPACE
#endif // CGAL_CARTESIAN_LINE_2_H
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