mirror of https://github.com/CGAL/cgal
285 lines
7.6 KiB
C++
285 lines
7.6 KiB
C++
// Copyright (c) 1999 Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
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// INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
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// (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
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// and Tel-Aviv University (Israel). All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public License as
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// published by the Free Software Foundation; version 2.1 of the License.
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// See the file LICENSE.LGPL distributed with CGAL.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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//
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//
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// Author(s) : Stefan Schirra
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#ifndef CGAL_HOMOGENEOUS_VECTOR_3_H
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#define CGAL_HOMOGENEOUS_VECTOR_3_H
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#include <CGAL/Origin.h>
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#include <CGAL/Fourtuple.h>
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CGAL_BEGIN_NAMESPACE
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template < class R_ >
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class VectorH3
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{
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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_3 Point_3;
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typedef typename R_::Vector_3 Vector_3;
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typedef typename R_::Segment_3 Segment_3;
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typedef typename R_::Ray_3 Ray_3;
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typedef typename R_::Line_3 Line_3;
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typedef typename R_::Direction_3 Direction_3;
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typedef typename R_::Aff_transformation_3 Aff_transformation_3;
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typedef Fourtuple<RT> Rep;
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typedef typename R_::template Handle<Rep>::type Base;
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Base base;
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public:
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typedef R_ R;
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VectorH3() {}
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VectorH3(const Point_3& a, const Point_3& b)
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{ *this = R().construct_vector_3_object()(a, b); }
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VectorH3(const Segment_3& s)
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{ *this = R().construct_vector_3_object()(s); }
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VectorH3(const Ray_3& r)
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{ *this = R().construct_vector_3_object()(r); }
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VectorH3(const Line_3& l)
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{ *this = R().construct_vector_3_object()(l); }
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VectorH3(const Null_vector&)
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: base(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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: base(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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const RT & hx() const { return get(base).e0 ; }
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const RT & hy() const { return get(base).e1 ; }
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const RT & hz() const { return get(base).e2 ; }
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const RT & hw() const { return get(base).e3 ; }
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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 z() const { return FT(hz())/FT(hw()) ; }
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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 { return 3; };
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Direction_3 direction() const;
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Vector_3 transform(const Aff_transformation_3& t ) const;
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Vector_3 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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Vector_3 operator+( const VectorH3 &v) const;
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Vector_3 operator-( const VectorH3 &v) const;
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FT squared_length() const;
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Vector_3 operator/( const RT &f) const;
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Vector_3 operator/( const FT &f) const;
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};
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template < class R >
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CGAL_KERNEL_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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base = Rep(x, y, z, w);
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else
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base = Rep(-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>::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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typename VectorH3<R>::Direction_3
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VectorH3<R>::direction() const
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{ return Direction_3(hx(), hy(), hz()); }
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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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typename VectorH3<R>::Vector_3
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VectorH3<R>::operator-() const
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{ return Vector_3( - hx(), - hy(), -hz(), hw() ); }
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template <class R>
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CGAL_KERNEL_INLINE
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typename R::Vector_3
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VectorH3<R>::operator+(const VectorH3<R>& v) const
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{
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return typename R::Vector_3(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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hw()*v.hw() );
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}
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template <class R>
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CGAL_KERNEL_INLINE
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typename R::Vector_3
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VectorH3<R>::operator-(const VectorH3<R>& v) const
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{
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return typename R::Vector_3(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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hw()*v.hw() );
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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>::squared_length() const
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{
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typedef typename R::FT FT;
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return
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FT( CGAL_NTS square(hx()) +
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CGAL_NTS square(hy()) +
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CGAL_NTS square(hz()) ) /
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FT( CGAL_NTS square(hw()) );
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}
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template <class R>
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CGAL_KERNEL_INLINE
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typename R::Vector_3
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VectorH3<R>::operator/(const typename VectorH3<R>::RT& f) const
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{ return typename R::Vector_3( hx(), hy(), hz(), hw()*f ); }
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template <class R>
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CGAL_KERNEL_INLINE
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typename R::Vector_3
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VectorH3<R>::operator/(const typename VectorH3<R>::FT& f) const
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{ return typename R::Vector_3(hx()*f.denominator(), hy()*f.denominator(),
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hz()*f.denominator(), hw()*f.numerator() ); }
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template < class R >
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inline
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typename R::Vector_3
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VectorH3<R>::
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transform(const typename VectorH3<R>::Aff_transformation_3&t ) const
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{ return t.transform(*this); }
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#ifndef CGAL_NO_OSTREAM_INSERT_VECTORH3
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template < class R >
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std::ostream& operator<<(std::ostream& os, const VectorH3<R>& v)
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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 << v.hx() << ' ' << v.hy() << ' ' << v.hz() << ' ' << v.hw();
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case IO::BINARY :
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write(os, v.hx());
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write(os, v.hy());
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write(os, v.hz());
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write(os, v.hw());
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return os;
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default:
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return os << "VectorH3(" << v.hx() << ", "
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<< v.hy() << ", "
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<< v.hz() << ", "
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<< v.hw() << ')';
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}
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}
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#endif // CGAL_NO_OSTREAM_INSERT_VECTORH3
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#ifndef CGAL_NO_ISTREAM_EXTRACT_VECTORH3
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template < class R >
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std::istream& operator>>(std::istream& is, VectorH3<R>& v)
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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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{
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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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v = VectorH3<R>(hx, hy, hz, hw);
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return is;
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}
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#endif // CGAL_NO_ISTREAM_EXTRACT_VECTORH3
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CGAL_END_NAMESPACE
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#endif // CGAL_HOMOGENEOUS_VECTOR_3_H
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