cgal/Packages/Cartesian_kernel/include/CGAL/Cartesian/Direction_2.h

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C++

// ======================================================================
//
// 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/Direction_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_DIRECTION_2_H
#define CGAL_CARTESIAN_DIRECTION_2_H
#include <CGAL/Cartesian/redefine_names_2.h>
CGAL_BEGIN_NAMESPACE
template < class R_ >
class DirectionC2 CGAL_ADVANCED_KERNEL_PARTIAL_SPEC
: public R_::Direction_handle_2
{
public:
typedef R_ R;
typedef typename R::FT FT;
typedef typename R::RT RT;
typedef typename R::Direction_handle_2 Direction_handle_2;
typedef typename R::Direction_ref_2 Direction_ref_2;
#ifndef CGAL_CFG_NO_ADVANCED_KERNEL
typedef DirectionC2<R,Cartesian_tag> Self;
typedef typename R::Point_2 Point_2;
typedef typename R::Vector_2 Vector_2;
typedef typename R::Line_2 Line_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 DirectionC2<R> Self;
typedef typename R::Point_2_base Point_2;
typedef typename R::Vector_2_base Vector_2;
typedef typename R::Line_2_base Line_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
DirectionC2();
DirectionC2(const Vector_2 &v);
DirectionC2(const FT &x, const FT &y);
bool operator==(const Self &d) const;
bool operator!=(const Self &d) const;
bool operator>=(const Self &d) const;
bool operator<=(const Self &d) const;
bool operator>(const Self &d) const;
bool operator<(const Self &d) const;
bool counterclockwise_in_between( const Self &d1, const Self &d2) const;
Vector_2 to_vector() const;
Self perpendicular(const Orientation &o) const;
Self transform(const Aff_transformation_2 &t) const;
Self operator-() const;
FT delta(int i) const;
FT dx() const
{
return Ptr()->e0;
}
FT dy() const
{
return Ptr()->e1;
}
};
template < class R >
CGAL_KERNEL_CTOR_INLINE
DirectionC2<R CGAL_CTAG>::DirectionC2()
: Direction_handle_2(Direction_ref_2()) {}
template < class R >
CGAL_KERNEL_CTOR_INLINE
DirectionC2<R CGAL_CTAG>::
DirectionC2(const typename DirectionC2<R CGAL_CTAG>::Vector_2 &v)
: Direction_handle_2(v) {}
template < class R >
CGAL_KERNEL_CTOR_INLINE
DirectionC2<R CGAL_CTAG>::
DirectionC2(const typename DirectionC2<R CGAL_CTAG>::FT &x,
const typename DirectionC2<R CGAL_CTAG>::FT &y)
: Direction_handle_2(Direction_ref_2(x, y)) {}
template < class R >
inline
bool
DirectionC2<R CGAL_CTAG>::operator==(const DirectionC2<R CGAL_CTAG> &d) const
{
if ( identical(d) ) return true;
return equal_direction(*this, d);
}
template < class R >
inline
bool
DirectionC2<R CGAL_CTAG>::operator!=(const DirectionC2<R CGAL_CTAG> &d) const
{
return !( *this == d );
}
template < class R >
CGAL_KERNEL_MEDIUM_INLINE
bool
DirectionC2<R CGAL_CTAG>::operator<(const DirectionC2<R CGAL_CTAG> &d) const
{
return compare_angle_with_x_axis(*this,d) == SMALLER;
}
template < class R >
CGAL_KERNEL_INLINE
bool
DirectionC2<R CGAL_CTAG>::operator>(const DirectionC2<R CGAL_CTAG> &d) const
{
return d < *this;
}
template < class R >
CGAL_KERNEL_INLINE
bool
DirectionC2<R CGAL_CTAG>::operator>=(const DirectionC2<R CGAL_CTAG> &d) const
{
return compare_angle_with_x_axis(*this,d) != SMALLER;
}
template < class R >
CGAL_KERNEL_INLINE
bool
DirectionC2<R CGAL_CTAG>::operator<=(const DirectionC2<R CGAL_CTAG> &d) const
{
return compare_angle_with_x_axis(*this,d) != LARGER;
}
template < class R >
CGAL_KERNEL_INLINE
bool
DirectionC2<R CGAL_CTAG>::
counterclockwise_in_between(const DirectionC2<R CGAL_CTAG> &d1,
const DirectionC2<R CGAL_CTAG> &d2) const
// returns true, iff \ccVar\ is not equal to \ccc{d1}, and
// while rotating counterclockwise starting at \ccc{d1},
// \ccVar\ is reached strictly before \ccc{d2} is reached.
// Note that true is returned if \ccc{d1} == \ccc{d2}, unless
// also \ccVar\ == \ccc{d1}.
{
if ( d1 < *this)
return ( *this < d2 )||( d2 <= d1 );
else
return ( *this < d2 )&&( d2 <= d1 );
}
template < class R >
inline
typename DirectionC2<R CGAL_CTAG>::Vector_2
DirectionC2<R CGAL_CTAG>::to_vector() const
{
return Vector_2(*this);
}
template < class R >
CGAL_KERNEL_MEDIUM_INLINE
DirectionC2<R CGAL_CTAG>
DirectionC2<R CGAL_CTAG>::perpendicular(const Orientation &o) const
{
CGAL_kernel_precondition(o != COLLINEAR);
if (o == COUNTERCLOCKWISE)
return DirectionC2<R CGAL_CTAG>(-dy(), dx());
else
return DirectionC2<R CGAL_CTAG>(dy(), -dx());
}
template < class R >
CGAL_KERNEL_INLINE
DirectionC2<R CGAL_CTAG>
DirectionC2<R CGAL_CTAG>::
transform(const typename DirectionC2<R CGAL_CTAG>::Aff_transformation_2 &t)
const
{
return t.transform(*this);
}
template < class R >
inline
DirectionC2<R CGAL_CTAG>
DirectionC2<R CGAL_CTAG>::operator-() const
{
return DirectionC2<R CGAL_CTAG>(-dx(), -dy());
}
template < class R >
CGAL_KERNEL_INLINE
typename DirectionC2<R CGAL_CTAG>::FT
DirectionC2<R CGAL_CTAG>::delta(int i) const
{
CGAL_kernel_precondition( ( i == 0 ) || ( i == 1 ) );
return (i==0) ? dx() : dy();
}
#ifndef CGAL_NO_OSTREAM_INSERT_DIRECTIONC2
template < class R >
std::ostream&
operator<<(std::ostream &os, const DirectionC2<R CGAL_CTAG> &d)
{
typename R::Vector_2 v = d.to_vector();
switch(os.iword(IO::mode)) {
case IO::ASCII :
return os << v.x() << ' ' << v.y();
case IO::BINARY :
write(os, v.x());
write(os, v.y());
return os;
default:
return os << "DirectionC2(" << v.x() << ", " << v.y() << ')';
}
}
#endif // CGAL_NO_OSTREAM_INSERT_DIRECTIONC2
#ifndef CGAL_NO_ISTREAM_EXTRACT_DIRECTIONC2
template < class R >
std::istream&
operator>>(std::istream &is, DirectionC2<R CGAL_CTAG> &p)
{
typename DirectionC2<R CGAL_CTAG>::FT x, y;
switch(is.iword(IO::mode)) {
case IO::ASCII :
is >> x >> y;
break;
case IO::BINARY :
read(is, x);
read(is, y);
break;
default:
std::cerr << std::endl << "Stream must be in ascii or binary mode"
<< std::endl;
break;
}
p = DirectionC2<R CGAL_CTAG>(x, y);
return is;
}
#endif // CGAL_NO_ISTREAM_EXTRACT_DIRECTIONC2
CGAL_END_NAMESPACE
#endif // CGAL_CARTESIAN_DIRECTION_2_H