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cgal/Packages/H3/include/CGAL/Homogeneous/PointH3.h

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// ======================================================================
//
// Copyright (c) 1999 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/Homogeneous/PointH3.h
// package : H3
// revision : $Revision$
// revision_date : $Date$
// author(s) : Stefan Schirra
//
// coordinator : MPI, Saarbruecken
// ======================================================================
#ifndef CGAL_HOMOGENEOUS_POINT_3_H
#define CGAL_HOMOGENEOUS_POINT_3_H
#include <CGAL/Origin.h>
#include <CGAL/Bbox_3.h>
#include <CGAL/Fourtuple.h>
#include <CGAL/Kernel/Cartesian_coordinate_iterator_3.h>
CGAL_BEGIN_NAMESPACE
template < class R_ >
class PointH3
: public R_::template Handle<Fourtuple<typename R_::RT> >::type
{
CGAL_VC7_BUG_PROTECTED
typedef typename R_::RT RT;
typedef typename R_::FT FT;
typedef typename R_::Vector_3 Vector_3;
typedef typename R_::Point_3 Point_3;
typedef typename R_::Direction_3 Direction_3;
typedef typename R_::Aff_transformation_3 Aff_transformation_3;
typedef Fourtuple<RT> rep;
typedef typename R_::template Handle<rep>::type base;
public:
typedef Cartesian_coordinate_iterator_3<R_> Cartesian_const_iterator;
typedef R_ R;
PointH3()
: base(rep()) {}
PointH3(const Origin &)
: base (rep( RT(0), RT(0), RT(0), RT(1) )) { }
PointH3(const Vector_3& v)
: base(v) {}
PointH3(const RT& x, const RT& y, const RT& z)
: base(rep(x, y, z, RT(1))) {}
PointH3(const RT& x, const RT& y, const RT& z, const RT& w)
{
if ( w < RT(0) )
initialize_with( rep(-x,-y,-z,-w));
else
initialize_with( rep(x,y,z,w));
}
FT x() const;
FT y() const;
FT z() const;
const RT & hx() const;
const RT & hy() const;
const RT & hz() const;
const RT & hw() const;
const RT & homogeneous(int i) const;
FT cartesian(int i) const;
FT operator[](int i) const;
Cartesian_const_iterator cartesian_begin() const
{
return Cartesian_const_iterator(static_cast<const Point_3*>(this), 0);
}
Cartesian_const_iterator cartesian_end() const
{
return Cartesian_const_iterator(static_cast<const Point_3*>(this), 3);
}
int dimension() const;
Direction_3
direction() const;
PointH3<R>
transform( const Aff_transformation_3 & t) const;
Bbox_3
bbox() const;
bool operator==( const PointH3<R>& p) const;
bool operator!=( const PointH3<R>& p) const;
};
template < class R >
inline
const typename PointH3<R>::RT &
PointH3<R>::hx() const
{ return Ptr()->e0 ; }
template < class R >
inline
const typename PointH3<R>::RT &
PointH3<R>::hy() const
{ return Ptr()->e1 ; }
template < class R >
inline
const typename PointH3<R>::RT &
PointH3<R>::hz() const
{ return Ptr()->e2 ; }
template < class R >
inline
const typename PointH3<R>::RT &
PointH3<R>::hw() const
{ return Ptr()->e3; }
template < class R >
CGAL_KERNEL_INLINE
typename PointH3<R>::FT
PointH3<R>::x() const
{ return ( FT(hx()) / FT(hw())); }
template < class R >
CGAL_KERNEL_INLINE
typename PointH3<R>::FT
PointH3<R>::y() const
{ return ( FT(hy()) / FT(hw())); }
template < class R >
CGAL_KERNEL_INLINE
typename PointH3<R>::FT
PointH3<R>::z() const
{ return ( FT(hz()) / FT(hw())); }
template < class R >
inline
int
PointH3<R>::dimension() const
{ return 3; }
template < class R >
CGAL_KERNEL_INLINE
typename PointH3<R>::FT
PointH3<R>::cartesian(int i) const
{
CGAL_kernel_precondition(i == 0 || i == 1 || i == 2);
switch (i)
{
case 0: return x();
case 1: return y();
}
return z();
}
template < class R >
CGAL_KERNEL_INLINE
const typename PointH3<R>::RT &
PointH3<R>::homogeneous(int i) const
{
CGAL_kernel_precondition(i == 0 || i == 1 || i == 2 || i == 3);
switch (i)
{
case 0: return hx();
case 1: return hy();
case 2: return hz();
}
return hw();
}
template < class R >
inline
typename PointH3<R>::FT
PointH3<R>::operator[](int i) const
{ return cartesian(i); }
template < class R >
inline
typename PointH3<R>::Direction_3
PointH3<R>::direction() const
{ return Direction_3(*this); }
template < class R >
CGAL_KERNEL_INLINE
bool
PointH3<R>::operator==( const PointH3<R> & p) const
{
return ( (hx() * p.hw() == p.hx() * hw() )
&&(hy() * p.hw() == p.hy() * hw() )
&&(hz() * p.hw() == p.hz() * hw() ) );
}
template < class R >
inline
bool
PointH3<R>::operator!=( const PointH3<R> & p) const
{ return !(*this == p); }
#ifndef CGAL_NO_OSTREAM_INSERT_POINTH3
template < class R >
std::ostream &operator<<(std::ostream &os, const PointH3<R> &p)
{
switch(os.iword(IO::mode)) {
case IO::ASCII :
return os << p.hx() << ' ' << p.hy() << ' ' << p.hz() << ' ' << p.hw();
case IO::BINARY :
write(os, p.hx());
write(os, p.hy());
write(os, p.hz());
write(os, p.hw());
return os;
default:
return os << "PointH3(" << p.hx() << ", "
<< p.hy() << ", "
<< p.hz() << ", "
<< p.hw() << ')';
}
}
#endif // CGAL_NO_OSTREAM_INSERT_POINTH3
#ifndef CGAL_NO_ISTREAM_EXTRACT_POINTH3
template < class R >
std::istream &operator>>(std::istream &is, PointH3<R> &p)
{
typename R::RT hx, hy, hz, hw;
switch(is.iword(IO::mode)) {
case IO::ASCII :
is >> hx >> hy >> hz >> hw;
break;
case IO::BINARY :
read(is, hx);
read(is, hy);
read(is, hz);
read(is, hw);
break;
default:
std::cerr << "" << std::endl;
std::cerr << "Stream must be in ascii or binary mode" << std::endl;
break;
}
p = PointH3<R>(hx, hy, hz, hw);
return is;
}
#endif // CGAL_NO_ISTREAM_EXTRACT_POINTH3
template < class R >
inline
PointH3<R>
PointH3<R>::transform(const typename PointH3<R>::Aff_transformation_3& t) const
{ return t.transform(*this); }
template < class R >
CGAL_KERNEL_LARGE_INLINE
Bbox_3
PointH3<R>::bbox() const
{
#ifndef CGAL_CFG_NO_NAMESPACE
using std::swap;
#endif // CGAL_CFG_NO_NAMESPACE
// double bx = to_double(x());
// double by = to_double(y());
// double bz = to_double(z());
// return Bbox_3(bx, by, bz, bx, by, bz);
double eps = double(1.0) /(double(1<<26) * double(1<<26));
double hxd = CGAL::to_double( hx() );
double hyd = CGAL::to_double( hy() );
double hzd = CGAL::to_double( hz() );
double hwd = CGAL::to_double( hw() );
double xmin = ( hxd - eps*hxd ) / ( hwd + eps*hwd );
double xmax = ( hxd + eps*hxd ) / ( hwd - eps*hwd );
double ymin = ( hyd - eps*hyd ) / ( hwd + eps*hwd );
double ymax = ( hyd + eps*hyd ) / ( hwd - eps*hwd );
double zmin = ( hzd - eps*hzd ) / ( hwd + eps*hwd );
double zmax = ( hzd + eps*hzd ) / ( hwd - eps*hwd );
if ( hx() < RT(0) )
{
swap(xmin, xmax);
}
if ( hy() < RT(0) )
{
swap(ymin, ymax);
}
if ( hz() < RT(0) )
{
swap(zmin, zmax);
}
return Bbox_3(xmin, ymin, zmin, xmax, ymax, zmax);
}
CGAL_END_NAMESPACE
#endif // CGAL_HOMOGENEOUS_POINT_3_H
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