mirror of https://github.com/CGAL/cgal
921 lines
21 KiB
C++
921 lines
21 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 : PVDH3.h
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// package : H3
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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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//
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// coordinator : MPI, Saarbruecken (<Stefan.Schirra@mpi-sb.mpg.de>)
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// ======================================================================
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#ifndef CGAL_PVDH3_H
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#define CGAL_PVDH3_H
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#define CGAL_POINTH3_H
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#define CGAL_VECTORH3_H
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#define CGAL_DIRECTIONH3_H
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#include <CGAL/homogeneous_classes.h>
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#include <CGAL/Origin.h>
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#include <CGAL/Bbox_3.h>
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CGAL_BEGIN_NAMESPACE
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template < class R_ >
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class PointH3
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: public R_::Point_handle_3
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{
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public:
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typedef R_ R;
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typedef typename R::RT RT;
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typedef typename R::FT FT;
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typedef typename R::Point_handle_3 Point_handle_3_;
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typedef typename Point_handle_3_::element_type Point_ref_3;
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PointH3()
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: Point_handle_3_(Point_ref_3()) {}
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PointH3(const Origin &);
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PointH3(const VectorH3<R>& v)
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: Point_handle_3_(v) {}
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PointH3(const RT& x, const RT& y, const RT& z)
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: Point_handle_3_(Point_ref_3(x, y, z, RT(1))) {}
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PointH3(const RT& x, const RT& y, const RT& z, const RT& w);
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FT x() const;
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FT y() const;
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FT z() const;
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const RT & hx() const;
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const RT & hy() const;
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const RT & hz() const;
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const RT & hw() const;
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const RT & homogeneous(int i) const;
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FT cartesian(int i) const;
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FT operator[](int i) const;
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int dimension() const;
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DirectionH3<R>
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direction() const;
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PointH3<R>
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transform( const Aff_transformationH3<R> & t) const;
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Bbox_3
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bbox() const;
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bool operator==( const PointH3<R>& p) const;
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bool operator!=( const PointH3<R>& p) const;
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};
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template < class R_ >
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class VectorH3
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: public R_::Vector_handle_3
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{
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public:
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typedef R_ R;
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typedef typename R::RT RT;
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typedef typename R::FT FT;
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typedef typename R::Vector_handle_3 Vector_handle_3_;
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typedef typename Vector_handle_3_::element_type Vector_ref_3;
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VectorH3()
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: Vector_handle_3_(Vector_ref_3()) {}
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VectorH3(const PointH3<R>& a, const PointH3<R>& b)
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: Vector_handle_3_(b-a) {}
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VectorH3(const Null_vector&)
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: Vector_handle_3_(Vector_ref_3(RT(0), RT(0), RT(0), RT(1))) {}
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VectorH3(const RT& x, const RT& y, const RT& z)
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: Vector_handle_3_(Vector_ref_3(x, y, z, RT(1))) {}
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VectorH3(const RT& w, const RT& x, const RT& y, const RT& z);
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// undocumented:
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VectorH3(const PointH3<R> & p)
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: Vector_handle_3_(p) {}
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VectorH3(const DirectionH3<R> & d) /* XXX */
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: Vector_handle_3_(d) {}
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FT x() const;
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FT y() const;
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FT z() const;
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const RT & hx() const;
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const RT & hy() const;
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const RT & hz() const;
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const RT & hw() const;
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const RT & homogeneous(int i) const;
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FT cartesian(int i) const;
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FT operator[](int i) const;
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int dimension() const;
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DirectionH3<R>
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direction() const;
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VectorH3<R>
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transform(const Aff_transformationH3<R>& t ) const;
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VectorH3<R>
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operator-() const;
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bool operator==( const VectorH3<R>& v) const;
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bool operator!=( const VectorH3<R>& v) const;
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FT operator*( const VectorH3<R>& v) const;
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};
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template < class R_ >
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class DirectionH3
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: public R_::Direction_handle_3
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{
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public:
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typedef R_ R;
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typedef typename R::RT RT;
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typedef typename R::FT FT;
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typedef typename R::Direction_handle_3 Direction_handle_3_;
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typedef typename Direction_handle_3_::element_type Direction_ref_3;
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DirectionH3()
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: Direction_handle_3_(Direction_ref_3()) {}
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DirectionH3(const PointH3<R> & p )
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: Direction_handle_3_(p) {}
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DirectionH3(const VectorH3<R> & v )
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: Direction_handle_3_(v) {}
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DirectionH3(const LineH3<R> & l )
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: Direction_handle_3_(l.direction()) {}
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DirectionH3(const RayH3<R> & r )
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: Direction_handle_3_(r.direction()) {}
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DirectionH3(const SegmentH3<R> & s )
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: Direction_handle_3_(s.direction()) {}
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DirectionH3(const RT& x, const RT& y,
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const RT& z, const RT& w = RT(1) );
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DirectionH3<R>
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transform(const Aff_transformationH3<R> &) const ;
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DirectionH3<R>
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operator-() const;
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bool is_degenerate() const;
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bool operator==( const DirectionH3<R>& d) const;
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bool operator!=( const DirectionH3<R>& d) const;
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VectorH3<R> to_vector() const;
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const RT & dx() const;
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const RT & dy() const;
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const RT & dz() const;
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const RT & x() const;
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const RT & y() const;
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const RT & z() const;
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const RT & hx() const;
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const RT & hy() const;
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const RT & hz() const;
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const RT & delta(int i) const;
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};
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#ifdef CGAL_CFG_TYPENAME_BUG
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#define typename
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#endif
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template < class R >
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CGAL_KERNEL_CTOR_INLINE
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PointH3<R>::PointH3(const Origin&)
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{
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const RT RT0(0);
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const RT RT1(1);
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initialize_with( Point_ref_3( RT0, RT0, RT0, RT1 ));
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}
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template < class R >
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CGAL_KERNEL_CTOR_INLINE
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PointH3<R>::PointH3(const RT& x, const RT& y, const RT& z, const RT& w)
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{
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if ( w < RT(0) )
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{ initialize_with( Point_ref_3(-x,-y,-z,-w)); }
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else
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{ initialize_with( Point_ref_3(x,y,z,w)); }
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}
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template < class R >
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CGAL_KERNEL_INLINE
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typename PointH3<R>::FT
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PointH3<R>::x() const
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{ return ( FT(Ptr()->hx() ) / FT(Ptr()->hw() )); }
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template < class R >
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CGAL_KERNEL_INLINE
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typename PointH3<R>::FT
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PointH3<R>::y() const
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{ return ( FT(Ptr()->hy() ) / FT(Ptr()->hw() )); }
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template < class R >
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CGAL_KERNEL_INLINE
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typename PointH3<R>::FT
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PointH3<R>::z() const
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{ return ( FT(Ptr()->hz() ) / FT(Ptr()->hw() )); }
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template < class R >
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inline
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const typename PointH3<R>::RT &
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PointH3<R>::hx() const
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{ return Ptr()->hx() ; }
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template < class R >
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inline
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const typename PointH3<R>::RT &
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PointH3<R>::hy() const
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{ return Ptr()->hy() ; }
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template < class R >
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inline
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const typename PointH3<R>::RT &
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PointH3<R>::hz() const
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{ return Ptr()->hz() ; }
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template < class R >
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inline
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const typename PointH3<R>::RT &
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PointH3<R>::hw() const
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{ return Ptr()->hw(); }
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template < class R >
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inline
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int
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PointH3<R>::dimension() const
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{ return 3; }
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template < class R >
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CGAL_KERNEL_INLINE
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typename PointH3<R>::FT
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PointH3<R>::cartesian(int i) const
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{
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CGAL_kernel_precondition(i == 0 || i == 1 || i == 2);
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switch (i)
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{
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case 0: return x();
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case 1: return y();
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}
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return z();
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}
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template < class R >
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CGAL_KERNEL_INLINE
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const typename PointH3<R>::RT &
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PointH3<R>::homogeneous(int i) const
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{
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CGAL_kernel_precondition(i == 0 || i == 1 || i == 2 || i == 3);
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switch (i)
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{
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case 0: return hx();
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case 1: return hy();
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case 2: return hz();
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}
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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 PointH3<R>::FT
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PointH3<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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DirectionH3<R>
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PointH3<R>::direction() const
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{ return DirectionH3<R>(*this); }
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template < class R >
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CGAL_KERNEL_INLINE
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bool
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PointH3<R>::operator==( const PointH3<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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&&(hz() * p.hw() == p.hz() * 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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PointH3<R>::operator!=( const PointH3<R> & p) const
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{ return !(*this == p); }
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#ifndef CGAL_NO_OSTREAM_INSERT_POINTH3
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template < class R >
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std::ostream &operator<<(std::ostream &os, const PointH3<R> &p)
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{
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switch(os.iword(IO::mode)) {
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case IO::ASCII :
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return os << p.hx() << ' ' << p.hy() << ' ' << p.hz() << ' ' << 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.hz());
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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 << "PointH3(" << p.hx() << ", "
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<< p.hy() << ", "
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<< p.hz() << ", "
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<< p.hw() << ')';
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}
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}
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#endif // CGAL_NO_OSTREAM_INSERT_POINTH3
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#ifndef CGAL_NO_ISTREAM_EXTRACT_POINTH3
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template < class R >
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std::istream &operator>>(std::istream &is, PointH3<R> &p)
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{
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typename R::RT hx, hy, hz, hw;
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switch(is.iword(IO::mode)) {
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case IO::ASCII :
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is >> hx >> hy >> hz >> 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, hz);
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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 = PointH3<R>(hx, hy, hz, hw);
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return is;
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}
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#endif // CGAL_NO_ISTREAM_EXTRACT_POINTH3
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template < class R >
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CGAL_KERNEL_CTOR_INLINE
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VectorH3<R>::VectorH3(const RT& x, const RT& y, const RT& z, const RT& w)
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{
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if ( w >= RT(0) )
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{ initialize_with( Vector_ref_3(x, y, z, w)); }
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else
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{ initialize_with( Vector_ref_3(-x,-y,-z,-w)); }
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}
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template < class R >
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CGAL_KERNEL_INLINE
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typename VectorH3<R>::FT
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VectorH3<R>::x() const
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{ return FT(Ptr()->hx() )/FT(Ptr()->hw() ) ; }
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template < class R >
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CGAL_KERNEL_INLINE
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typename VectorH3<R>::FT
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VectorH3<R>::y() const
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{ return FT(Ptr()->hy() )/FT(Ptr()->hw() ) ; }
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template < class R >
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CGAL_KERNEL_INLINE
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typename VectorH3<R>::FT
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VectorH3<R>::z() const
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{ return FT(Ptr()->hz() )/FT(Ptr()->hw() ) ; }
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template < class R >
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inline
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const typename VectorH3<R>::RT &
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VectorH3<R>::hx() const
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{ return Ptr()->hx() ; }
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template < class R >
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inline
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const typename VectorH3<R>::RT &
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VectorH3<R>::hy() const
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{ return Ptr()->hy() ; }
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template < class R >
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inline
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const typename VectorH3<R>::RT &
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VectorH3<R>::hz() const
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{ return Ptr()->hz() ; }
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template < class R >
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inline
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const typename VectorH3<R>::RT &
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VectorH3<R>::hw() const
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{ return Ptr()->hw() ; }
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template < class R >
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inline
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int
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VectorH3<R>::dimension() const
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{ return 3; }
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template < class R >
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CGAL_KERNEL_INLINE
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typename VectorH3<R>::FT
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VectorH3<R>::cartesian(int i) const
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{
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CGAL_kernel_precondition(i == 0 || i == 1 || i == 2);
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switch (i)
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{
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case 0: return x();
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case 1: return y();
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}
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return z();
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}
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template < class R >
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CGAL_KERNEL_INLINE
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const typename VectorH3<R>::RT &
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VectorH3<R>::homogeneous(int i) const
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{
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CGAL_kernel_precondition(i == 0 || i == 1 || i == 2 || i == 3);
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switch (i)
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{
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case 0: return hx();
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case 1: return hy();
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case 2: return hz();
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}
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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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DirectionH3<R>
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VectorH3<R>::direction() const
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{ return DirectionH3<R>(*this); }
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template < class R >
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CGAL_KERNEL_INLINE
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bool
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VectorH3<R>::operator==( const VectorH3<R>& v) const
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{
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return ( (hx() * v.hw() == v.hx() * hw() )
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&&(hy() * v.hw() == v.hy() * hw() )
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&&(hz() * v.hw() == v.hz() * 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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VectorH3<R>::operator!=( const VectorH3<R>& v) const
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{ return !(*this == v); }
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template < class R >
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inline
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typename VectorH3<R>::FT
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VectorH3<R>::operator[](int i) const
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{ return cartesian(i); }
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template < class R >
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CGAL_KERNEL_INLINE
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VectorH3<R>
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VectorH3<R>::operator-() const
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{ return VectorH3<R>( - hx(), - hy(), -hz(), hw() ); }
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template <class R >
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CGAL_KERNEL_CTOR_INLINE
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DirectionH3<R>::DirectionH3(const RT& x, const RT& y, const RT& z,
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const RT& w)
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{
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if ( w >= RT(0) )
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{ initialize_with( Direction_ref_3(x,y,z,w)); }
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else
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{ initialize_with( Direction_ref_3(-x,-y,-z,-w)); }
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}
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template <class R >
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CGAL_KERNEL_INLINE
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const typename DirectionH3<R>::RT &
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DirectionH3<R>::delta(int i) const
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{
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switch (i)
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{
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case 0: return x();
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case 1: return y();
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case 2: return z();
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default: return delta( i%3 );
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}
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}
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template <class R >
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inline
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const typename DirectionH3<R>::RT &
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DirectionH3<R>::dx() const
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{ return Ptr()->e0; }
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template <class R >
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inline
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const typename DirectionH3<R>::RT &
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DirectionH3<R>::x() const
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{ return Ptr()->e0; }
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template <class R >
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inline
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const typename DirectionH3<R>::RT &
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DirectionH3<R>::hx() const
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{ return Ptr()->e0; }
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template <class R >
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inline
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const typename DirectionH3<R>::RT &
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DirectionH3<R>::dy() const
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{ return Ptr()->e1; }
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template <class R >
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inline
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const typename DirectionH3<R>::RT &
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DirectionH3<R>::y() const
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{ return Ptr()->e1; }
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template <class R >
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inline
|
|
const typename DirectionH3<R>::RT &
|
|
DirectionH3<R>::hy() const
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{ return Ptr()->e1; }
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|
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template <class R >
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|
inline
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const typename DirectionH3<R>::RT &
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|
DirectionH3<R>::dz() const
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|
{ return Ptr()->e2; }
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|
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template <class R >
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|
inline
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|
const typename DirectionH3<R>::RT &
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|
DirectionH3<R>::z() const
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|
{ return Ptr()->e2; }
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|
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template <class R >
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inline
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|
const typename DirectionH3<R>::RT &
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|
DirectionH3<R>::hz() const
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|
{ return Ptr()->e2; }
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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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|
DirectionH3<R>::operator==( const DirectionH3<R>& d) const
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|
{
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return ( ( Ptr()->hx()*d.Ptr()->hy() == Ptr()->hy()*d.Ptr()->hx() )
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&&( Ptr()->hx()*d.Ptr()->hz() == Ptr()->hz()*d.Ptr()->hx() )
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&&( Ptr()->hy()*d.Ptr()->hz() == Ptr()->hz()*d.Ptr()->hy() )
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&&( CGAL_NTS sign( Ptr()->hx() ) == CGAL_NTS sign( d.Ptr()->hx() ) )
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|
&&( CGAL_NTS sign( Ptr()->hy() ) == CGAL_NTS sign( d.Ptr()->hy() ) )
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&&( CGAL_NTS sign( Ptr()->hz() ) == CGAL_NTS sign( d.Ptr()->hz() ) ) );
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|
}
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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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DirectionH3<R>::operator!=( const DirectionH3<R>& d) const
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|
{ return !operator==(d); }
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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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|
DirectionH3<R>::is_degenerate() const
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|
{ return ((hx() == RT(0)) && (hy() == RT(0)) && (hz() == RT(0))); }
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|
|
template <class R >
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|
inline
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|
DirectionH3<R>
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|
DirectionH3<R>::operator-() const
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|
{ return DirectionH3<R>(- Ptr()->hx(),- Ptr()->hy(),- Ptr()->hz() ); }
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|
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template <class R >
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|
inline
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|
VectorH3<R>
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|
DirectionH3<R>::to_vector() const
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|
{ return VectorH3<R>(*this); }
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template <class R>
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|
CGAL_KERNEL_INLINE
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|
VectorH3<R>
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operator+(const VectorH3<R>& u, const VectorH3<R>& v)
|
|
{
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|
return VectorH3<R>(u.hx()*v.hw() + v.hx()*u.hw(),
|
|
u.hy()*v.hw() + v.hy()*u.hw(),
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u.hz()*v.hw() + v.hz()*u.hw(),
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u.hw()*v.hw() );
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|
}
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|
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template <class R>
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|
CGAL_KERNEL_INLINE
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|
VectorH3<R>
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operator-(const VectorH3<R>& u, const VectorH3<R>& v)
|
|
{
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|
return VectorH3<R>(u.hx()*v.hw() - v.hx()*u.hw(),
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|
u.hy()*v.hw() - v.hy()*u.hw(),
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|
u.hz()*v.hw() - v.hz()*u.hw(),
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|
u.hw()*v.hw() );
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|
}
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|
|
|
template <class R>
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|
CGAL_KERNEL_INLINE
|
|
typename VectorH3<R>::FT
|
|
VectorH3<R>::operator*(const VectorH3<R>& v) const
|
|
{
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|
typedef typename R::RT RT;
|
|
typedef typename R::FT FT;
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|
CGAL_kernel_assertion( hw() != RT(0) );
|
|
CGAL_kernel_assertion( hw() != RT(0) );
|
|
return ( FT( hx()*v.hx() + hy()*v.hy() + hz()*v.hz() ) /
|
|
FT( hw()*v.hw() ) );
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|
}
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|
|
|
template <class R>
|
|
CGAL_KERNEL_INLINE
|
|
VectorH3<R>
|
|
operator/(const VectorH3<R>& v, const typename R::RT& f)
|
|
{ return VectorH3<R>( v.hx(), v.hy(), v.hz(), v.hw()*f ); }
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|
|
|
template <class R>
|
|
CGAL_KERNEL_INLINE
|
|
VectorH3<R>
|
|
operator*(const VectorH3<R>& v, const typename R::RT& f)
|
|
{ return VectorH3<R>( v.hx()*f, v.hy()*f, v.hz()*f, v.hw() ); }
|
|
|
|
#ifdef __SUNPRO_CC
|
|
template <class RT, class R>
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|
CGAL_KERNEL_INLINE
|
|
VectorH3<R>
|
|
operator*(const RT& f, const VectorH3<R>& v)
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|
#else
|
|
template <class R>
|
|
CGAL_KERNEL_INLINE
|
|
VectorH3<R>
|
|
operator*(const typename R::RT& f, const VectorH3<R>& v)
|
|
#endif
|
|
{ return VectorH3<R>( v.hx()*f, v.hy()*f, v.hz()*f, v.hw() ); }
|
|
|
|
template <class R>
|
|
CGAL_KERNEL_INLINE
|
|
VectorH3<R>
|
|
cross_product(const VectorH3<R>& a, const VectorH3<R>& b)
|
|
{
|
|
return VectorH3<R>(a.hy()*b.hz() - a.hz()*b.hy(),
|
|
a.hz()*b.hx() - a.hx()*b.hz(),
|
|
a.hx()*b.hy() - a.hy()*b.hx(),
|
|
a.hw()*b.hw() );
|
|
}
|
|
|
|
template <class R>
|
|
inline
|
|
PointH3<R>
|
|
operator+(const Origin& , const VectorH3<R>& v)
|
|
{ return PointH3<R>( v ); }
|
|
|
|
template <class R>
|
|
inline
|
|
PointH3<R>
|
|
operator-(const Origin& , const VectorH3<R>& v)
|
|
{ return PointH3<R>(-v ); }
|
|
|
|
template <class R>
|
|
inline
|
|
VectorH3<R>
|
|
operator-(const PointH3<R>& p, const Origin& )
|
|
{ return VectorH3<R>( p ); }
|
|
|
|
template <class R>
|
|
inline
|
|
VectorH3<R>
|
|
operator-(const Origin& , const PointH3<R>& p)
|
|
{ return - VectorH3<R>( p ); }
|
|
|
|
template <class R>
|
|
CGAL_KERNEL_INLINE
|
|
PointH3<R>
|
|
operator+(const PointH3<R>& p, const VectorH3<R>& v)
|
|
{
|
|
return PointH3<R>(p.hx()*v.hw() + v.hx()*p.hw(),
|
|
p.hy()*v.hw() + v.hy()*p.hw(),
|
|
p.hz()*v.hw() + v.hz()*p.hw(),
|
|
p.hw()*v.hw() );
|
|
}
|
|
|
|
template <class R>
|
|
CGAL_KERNEL_INLINE
|
|
PointH3<R>
|
|
operator-(const PointH3<R>& p, const VectorH3<R>& v)
|
|
{
|
|
return PointH3<R>( p.hx()*v.hw() - v.hx()*p.hw(),
|
|
p.hy()*v.hw() - v.hy()*p.hw(),
|
|
p.hz()*v.hw() - v.hz()*p.hw(),
|
|
p.hw()*v.hw() );
|
|
}
|
|
|
|
template <class R>
|
|
CGAL_KERNEL_INLINE
|
|
VectorH3<R>
|
|
operator-(const PointH3<R>& p, const PointH3<R>& q)
|
|
{
|
|
return PointH3<R>( p.hx()*q.hw() - q.hx()*p.hw(),
|
|
p.hy()*q.hw() - q.hy()*p.hw(),
|
|
p.hz()*q.hw() - q.hz()*p.hw(),
|
|
p.hw()*q.hw() );
|
|
}
|
|
|
|
template <class R>
|
|
CGAL_KERNEL_INLINE
|
|
DirectionH3<R>
|
|
cross_product( const DirectionH3<R>& d1,
|
|
const DirectionH3<R>& d2)
|
|
{ return cross_product(d1.to_vector(),d2.to_vector()).direction(); }
|
|
|
|
#ifdef CGAL_CFG_TYPENAME_BUG
|
|
#undef typename
|
|
#endif
|
|
|
|
CGAL_END_NAMESPACE
|
|
|
|
#include <CGAL/Aff_transformationH3.h>
|
|
|
|
CGAL_BEGIN_NAMESPACE
|
|
|
|
template < class R >
|
|
inline
|
|
PointH3<R>
|
|
PointH3<R>::transform(const Aff_transformationH3<R>& 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);
|
|
}
|
|
|
|
template < class R >
|
|
inline
|
|
VectorH3<R>
|
|
VectorH3<R>::transform(const Aff_transformationH3<R>&t ) const
|
|
{ return t.transform(*this); }
|
|
|
|
#ifndef CGAL_NO_OSTREAM_INSERT_VECTORH3
|
|
template < class R >
|
|
std::ostream& operator<<(std::ostream& os, const VectorH3<R>& v)
|
|
{
|
|
switch(os.iword(IO::mode))
|
|
{
|
|
case IO::ASCII :
|
|
return os << v.hx() << ' ' << v.hy() << ' ' << v.hz() << ' ' << v.hw();
|
|
case IO::BINARY :
|
|
write(os, v.hx());
|
|
write(os, v.hy());
|
|
write(os, v.hz());
|
|
write(os, v.hw());
|
|
return os;
|
|
default:
|
|
return os << "VectorH3(" << v.hx() << ", "
|
|
<< v.hy() << ", "
|
|
<< v.hz() << ", "
|
|
<< v.hw() << ')';
|
|
}
|
|
}
|
|
#endif // CGAL_NO_OSTREAM_INSERT_VECTORH3
|
|
|
|
#ifndef CGAL_NO_ISTREAM_EXTRACT_VECTORH3
|
|
template < class R >
|
|
std::istream& operator>>(std::istream& is, VectorH3<R>& v)
|
|
{
|
|
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;
|
|
}
|
|
v = VectorH3<R>(hx, hy, hz, hw);
|
|
return is;
|
|
}
|
|
#endif // CGAL_NO_ISTREAM_EXTRACT_VECTORH3
|
|
|
|
template <class R >
|
|
inline
|
|
DirectionH3<R>
|
|
DirectionH3<R>::
|
|
transform(const Aff_transformationH3<R>& t) const
|
|
{ return t.transform(*this); }
|
|
|
|
#ifndef CGAL_NO_OSTREAM_INSERT_DIRECTIONH3
|
|
template < class R >
|
|
std::ostream &operator<<(std::ostream &os, const DirectionH3<R> &p)
|
|
{
|
|
switch(os.iword(IO::mode))
|
|
{
|
|
case IO::ASCII :
|
|
return os << p.dx() << ' ' << p.dy() << ' ' << p.dz();
|
|
case IO::BINARY :
|
|
write(os, p.dx());
|
|
write(os, p.dy());
|
|
write(os, p.dz());
|
|
return os;
|
|
default:
|
|
return os << "DirectionH3(" << p.dx() << ", "
|
|
<< p.dy() << ", "
|
|
<< p.dz() << ')';
|
|
}
|
|
}
|
|
#endif // CGAL_NO_OSTREAM_INSERT_DIRECTIONH3
|
|
|
|
#ifndef CGAL_NO_ISTREAM_EXTRACT_DIRECTIONH3
|
|
template < class R >
|
|
std::istream &operator>>(std::istream &is, DirectionH3<R> &p)
|
|
{
|
|
typename R::RT x, y, z;
|
|
switch(is.iword(IO::mode))
|
|
{
|
|
case IO::ASCII :
|
|
is >> x >> y >> z;
|
|
break;
|
|
case IO::BINARY :
|
|
read(is, x);
|
|
read(is, y);
|
|
read(is, z);
|
|
break;
|
|
default:
|
|
std::cerr << "" << std::endl;
|
|
std::cerr << "Stream must be in ascii or binary mode" << std::endl;
|
|
break;
|
|
}
|
|
p = DirectionH3<R>(x, y, z);
|
|
return is;
|
|
}
|
|
#endif // CGAL_NO_ISTREAM_EXTRACT_DIRECTIONH3
|
|
|
|
CGAL_END_NAMESPACE
|
|
|
|
#endif // CGAL_PVDH3_H
|