mirror of https://github.com/CGAL/cgal
246 lines
6.2 KiB
C++
246 lines
6.2 KiB
C++
// ======================================================================
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//
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// Copyright (c) 1999 The CGAL Consortium
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//
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// This software and related documentation is part of an INTERNAL release
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// of the Computational Geometry Algorithms Library (CGAL). It is not
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// intended for general use.
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//
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// ----------------------------------------------------------------------
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//
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// release :
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// release_date :
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//
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// file : include/CGAL/Homogeneous/PointH2.h
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// package : H2
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// revision : $Revision$
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// revision_date : $Date$
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// author(s) : Stefan Schirra
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//
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// coordinator : MPI, Saarbruecken
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// ======================================================================
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#ifndef CGAL_HOMOGENEOUS_POINT_2_H
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#define CGAL_HOMOGENEOUS_POINT_2_H
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#include <CGAL/Origin.h>
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#include <CGAL/Bbox_2.h>
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#include <CGAL/Threetuple.h>
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#include <CGAL/Kernel/Cartesian_coordinate_iterator_2.h>
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CGAL_BEGIN_NAMESPACE
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template < class R_ >
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class PointH2
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: public R_::template Handle<Threetuple<typename R_::RT> >::type
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{
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CGAL_VC7_BUG_PROTECTED
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typedef typename R_::FT FT;
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typedef typename R_::RT RT;
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typedef typename R_::Vector_2 Vector_2;
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typedef typename R_::Point_2 Point_2;
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typedef typename R_::Direction_2 Direction_2;
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typedef typename R_::Aff_transformation_2 Aff_transformation_2;
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typedef Threetuple<RT> rep;
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typedef typename R_::template Handle<rep>::type base;
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public:
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typedef Cartesian_coordinate_iterator_2<R_> Cartesian_const_iterator;
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typedef R_ R;
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PointH2()
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: base ( rep()) { }
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PointH2(const Origin &)
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: base ( rep( RT(0), RT(0), RT(1))) { }
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PointH2(const PointH2<R> & p)
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: base (p) { }
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PointH2(const Vector_2& v)
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: base (v) { }
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PointH2(const RT& hx, const RT& hy )
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: base ( rep( hx, hy, RT(1) )) { }
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PointH2(const RT& hx, const RT& hy, const RT& hw)
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{
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if ( hw >= RT(0) )
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initialize_with( rep( hx, hy, hw));
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else
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initialize_with( rep(-hx,-hy,-hw));
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}
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bool operator==( const PointH2<R>& p) const;
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bool operator!=( const PointH2<R>& p) const;
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const RT & hx() const { return Ptr()->e0; };
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const RT & hy() const { return Ptr()->e1; };
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const RT & hw() const { return Ptr()->e2; };
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FT x() const { return FT(hx()) / FT(hw()); };
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FT y() const { return FT(hy()) / FT(hw()); };
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FT cartesian(int i) const;
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FT operator[](int i) const;
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const RT & homogeneous(int i) const;
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Cartesian_const_iterator cartesian_begin() const
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{
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return Cartesian_const_iterator(static_cast<const Point_2*>(this), 0);
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}
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Cartesian_const_iterator cartesian_end() const
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{
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return Cartesian_const_iterator(static_cast<const Point_2*>(this), 2);
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}
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int dimension() const;
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Bbox_2 bbox() const;
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PointH2<R> transform( const Aff_transformation_2 & t) const;
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Direction_2 direction() const;
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};
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template < class R >
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CGAL_KERNEL_INLINE
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bool
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PointH2<R>::operator==( const PointH2<R>& p) const
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{
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return ( (hx() * p.hw() == p.hx() * hw() )
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&&(hy() * p.hw() == p.hy() * hw() ) );
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}
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template < class R >
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inline
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bool
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PointH2<R>::operator!=( const PointH2<R>& p) const
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{ return !(*this == p); } /* XXX */
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template < class R >
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CGAL_KERNEL_INLINE
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typename PointH2<R>::FT
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PointH2<R>::cartesian(int i) const
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{
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CGAL_kernel_precondition( (i==0 || i==1) );
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if (i==0)
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return x();
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return y();
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}
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template < class R >
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CGAL_KERNEL_INLINE
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const typename PointH2<R>::RT &
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PointH2<R>::homogeneous(int i) const
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{
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CGAL_kernel_precondition( (i>=0) && (i<=2) );
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if (i==0)
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return hx();
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if (i==1)
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return hy();
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return hw();
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}
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template < class R >
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inline
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typename PointH2<R>::FT
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PointH2<R>::operator[](int i) const
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{ return cartesian(i); }
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template < class R >
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inline
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int
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PointH2<R>::dimension() const
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{ return 2; }
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template < class R >
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CGAL_KERNEL_INLINE
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typename PointH2<R>::Direction_2
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PointH2<R>::direction() const
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{ return typename PointH2<R>::Direction_2(*this); }
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template < class R >
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CGAL_KERNEL_MEDIUM_INLINE
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Bbox_2
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PointH2<R>::bbox() const
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{
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#ifndef CGAL_CFG_NO_NAMESPACE
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using std::swap;
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#endif // CGAL_CFG_NO_NAMESPACE
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// double eps = exp2(-52);
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// the following is faster as it can be evaluated at compile time
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// and it is machine independent
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double eps = double(1.0) /(double(1<<26) * double(1<<26));
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double hxd = CGAL::to_double( hx() );
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double hyd = CGAL::to_double( hy() );
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double hwd = CGAL::to_double( hw() );
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double xmin = ( hxd - eps*hxd ) / ( hwd + eps*hwd );
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double xmax = ( hxd + eps*hxd ) / ( hwd - eps*hwd );
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double ymin = ( hyd - eps*hyd ) / ( hwd + eps*hwd );
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double ymax = ( hyd + eps*hyd ) / ( hwd - eps*hwd );
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if ( hx() < RT(0) ) { swap(xmin, xmax); }
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if ( hy() < RT(0) ) { swap(ymin, ymax); }
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return Bbox_2(xmin, ymin, xmax, ymax);
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}
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template < class R >
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inline
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PointH2<R>
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PointH2<R>::transform(const typename PointH2<R>::Aff_transformation_2& t) const
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{ return t.transform(*this); }
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#ifndef CGAL_NO_OSTREAM_INSERT_POINTH2
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template < class R >
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std::ostream &
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operator<<(std::ostream &os, const PointH2<R> &p)
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{
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switch(os.iword(IO::mode))
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{
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case IO::ASCII :
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return os << p.hx() << ' ' << p.hy() << ' ' << p.hw();
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case IO::BINARY :
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write(os, p.hx());
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write(os, p.hy());
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write(os, p.hw());
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return os;
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default:
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return os << "PointH2(" << p.hx() << ", "
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<< p.hy() << ", "
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<< p.hw() << ')';
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}
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}
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#endif // CGAL_NO_OSTREAM_INSERT_POINTH2
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#ifndef CGAL_NO_ISTREAM_EXTRACT_POINTH2
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template < class R >
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std::istream &
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operator>>(std::istream &is, PointH2<R> &p)
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{
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typename R::RT hx, hy, hw;
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switch(is.iword(IO::mode))
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{
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case IO::ASCII :
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is >> hx >> hy >> hw;
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break;
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case IO::BINARY :
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read(is, hx);
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read(is, hy);
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read(is, hw);
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break;
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default:
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std::cerr << "" << std::endl;
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std::cerr << "Stream must be in ascii or binary mode" << std::endl;
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break;
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}
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p = PointH2<R>(hx, hy, hw);
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return is;
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}
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#endif // CGAL_NO_ISTREAM_EXTRACT_POINTH2
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CGAL_END_NAMESPACE
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#endif // CGAL_HOMOGENEOUS_POINT_2_H
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