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SPAR/AIModule/BWTA/vendors/CGAL/CGAL/Kernel_d/PointCd.h
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00001 // Copyright (c) 2000,2001  Utrecht University (The Netherlands),
00002 // ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
00003 // INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
00004 // (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
00005 // and Tel-Aviv University (Israel).  All rights reserved.
00006 //
00007 // This file is part of CGAL (www.cgal.org); you can redistribute it and/or
00008 // modify it under the terms of the GNU Lesser General Public License as
00009 // published by the Free Software Foundation; version 2.1 of the License.
00010 // See the file LICENSE.LGPL distributed with CGAL.
00011 //
00012 // Licensees holding a valid commercial license may use this file in
00013 // accordance with the commercial license agreement provided with the software.
00014 //
00015 // This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
00016 // WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
00017 //
00018 // $URL: svn+ssh://scm.gforge.inria.fr/svn/cgal/branches/CGAL-3.5-branch/Kernel_d/include/CGAL/Kernel_d/PointCd.h $
00019 // $Id: PointCd.h 42940 2008-04-17 13:32:52Z spion $
00020 // 
00021 //
00022 // Author(s)     : Michael Seel
00023 #ifndef CGAL_POINTCDXXX_H
00024 #define CGAL_POINTCDXXX_H 
00025 
00026 #include <CGAL/basic.h>
00027 #include <CGAL/Origin.h>
00028 #include <CGAL/Kernel_d/Tuple_d.h>
00029 
00030 CGAL_BEGIN_NAMESPACE
00031 #define PointCd PointCd2
00032 
00033 template <class FT, class LA> class PointCd;
00034 template <class FT, class LA>
00035 std::istream& operator>>(std::istream&, PointCd<FT,LA>&);
00036 template <class FT, class LA>
00037 std::ostream& operator<<(std::ostream&, const PointCd<FT,LA>&);
00038 
00039 template <class _FT, class _LA > 
00040 class PointCd : public Handle_for< Tuple_d<_FT,_LA> > { 
00041   typedef Tuple_d<_FT,_LA> Tuple;
00042   typedef Handle_for<Tuple> Base;
00043   typedef PointCd<_FT,_LA> Self;
00044 
00045   using Base::ptr;
00046 
00047 typename _LA::Vector& vector_rep() { return ptr()->v; }
00048 const typename _LA::Vector& vector_rep() const { return ptr()->v; }
00049 _FT& entry(int i) { return ptr()->v[i]; }
00050 const _FT& entry(int i) const { return ptr()->v[i]; }
00051 PointCd(const Base& b) : Base(b) {}
00052 
00053 public: 
00054 /*{\Mtypes 4}*/
00055 
00056 typedef _FT RT;
00057 typedef _FT FT;
00058 typedef _LA LA;
00059 typedef typename Tuple::const_iterator Cartesian_const_iterator;
00060 typedef typename Tuple::Homogeneous_const_iterator Homogeneous_const_iterator;
00061 
00062 friend class VectorCd<FT,LA>;
00063 friend class HyperplaneCd<FT,LA>;
00064 
00065 /*{\Mcreation 4}*/
00066 
00067 PointCd(int d = 0) : Base( Tuple(d) ) {}
00068 PointCd(int d, const Origin&) : Base( Tuple(d) ) {}
00069 
00070 template <class InputIterator>
00071 PointCd(int d, InputIterator first, InputIterator last) 
00072   : Base( Tuple(d,first,last) ) 
00073 { if ( first == last ) return; 
00074   // else first specifies common denominator:
00075   CGAL_assertion_msg(FT(*first)!=FT(0),
00076     "PointCd::constructor: denominator must be nonzero.");
00077   for (int i=0; i<d; ++i) entry(i)/=FT(*first);
00078 }
00079 
00080 template <class InputIterator>
00081 PointCd (int d, InputIterator first, InputIterator last, 
00082   const FT& D) : Base( Tuple(d,first,last) )
00083 { CGAL_assertion_msg(D!=FT(0),"PointCd::constructor: D must be nonzero.");
00084   for (int i=0; i<d; ++i) entry(i)/=D;
00085 }
00086 
00087 PointCd(int x, int y, int w = 1) : Base( Tuple((FT)x,(FT)y) )
00088 { CGAL_assertion_msg(w!=0,"PointCd::construction: w == 0."); 
00089   vector_rep()/=w; }
00090 
00091 PointCd(const FT& x, const FT& y, const FT& w = 1) 
00092   : Base( Tuple(x,y) )
00093 { CGAL_assertion_msg(w!=FT(0),"PointCd::construction: w == 0."); 
00094   vector_rep()/=w; }
00095 
00096 PointCd(int x, int y, int z, int w) : 
00097   Base( Tuple(FT(x),FT(y),FT(z), MatchHelper()) )
00098 { CGAL_assertion_msg(w!=0,"PointCd::construction: w == 0."); 
00099   vector_rep()/=w; }
00100 
00101 PointCd(const FT& x, const FT& y, const FT& z, const FT& w) 
00102   : Base( Tuple(x,y,z,MatchHelper()) )
00103 { CGAL_assertion_msg(w!=FT(0),"PointCd::construction: w == 0.");
00104   vector_rep()/=w; }
00105 
00106 PointCd(const PointCd<FT,LA>& p) : Base(p) {}
00107 ~PointCd() {}     
00108 
00109 int dimension() const  { return ptr()->size(); }
00110 
00111 FT cartesian(int i) const
00112 { CGAL_assertion_msg((0<=i && i<dimension()),
00113     "PointCd::cartesian(): index out of range.");
00114   return entry(i); 
00115 }
00116 FT operator[](int i) const { return cartesian(i); }
00117 FT homogeneous(int i) const 
00118 { CGAL_assertion_msg((0<=i && i<=(dimension())), 
00119     "PointCd::homogeneous(): index out of range.");
00120   if (i!=dimension()) return entry(i); else return FT(1);
00121 }
00122 
00123 Cartesian_const_iterator cartesian_begin() const 
00124 { return ptr()->begin(); }
00125 Cartesian_const_iterator cartesian_end() const 
00126 { return ptr()->end(); }
00127 
00128 Homogeneous_const_iterator homogeneous_begin() const 
00129 { return Homogeneous_const_iterator(ptr()->begin(),ptr()->end()); }
00130 Homogeneous_const_iterator homogeneous_end() const 
00131 { return Homogeneous_const_iterator(ptr()->beyondend()); }
00132 
00133 PointCd<FT,LA> transform(const Aff_transformationCd<FT,LA>& t) const;
00134 
00135 inline VectorCd<FT,LA> operator-(const Origin& o) const; 
00136 
00137 VectorCd<FT,LA> operator-(const PointCd<FT,LA>& q) const 
00138 { VectorCd<FT,LA> res(dimension()); 
00139   res.ptr()->cartesian_sub(ptr(),q.ptr());
00140   return res; 
00141 }
00142 
00143 PointCd<FT,LA> operator+(const VectorCd<FT,LA>& v) const;
00144 PointCd<FT,LA> operator-(const VectorCd<FT,LA>& v) const;
00145 PointCd<FT,LA>& operator+=(const VectorCd<FT,LA>& v); 
00146 PointCd<FT,LA>& operator-=(const VectorCd<FT,LA>& v); 
00147 
00148 static Comparison_result cmp(
00149   const PointCd<FT,LA>& p1, const PointCd<FT,LA>& p2)
00150 { Compare_componentwise<FT,LA> cmpobj;
00151   return cmpobj(p1.vector_rep(),p2.vector_rep());
00152 }
00153 
00154 bool operator==(const PointCd<FT,LA>& q) const
00155 { if (this->identical(q)) return true;
00156   if (dimension()!=q.dimension()) return false;
00157   return vector_rep()==q.vector_rep();
00158 }
00159 
00160 bool operator!=(const PointCd<FT,LA>& q) const
00161 { return !(*this==q); }
00162 
00163 bool operator==(const Origin&) const
00164 { for (int i = 0; i < dimension(); i++)
00165     if (cartesian(i) != FT(0)) return false;
00166   return true;
00167 }
00168 
00169 friend std::istream& operator>> <>
00170   (std::istream&, PointCd<FT,LA>&);
00171 friend std::ostream& operator<< <>
00172   (std::ostream&, const PointCd<FT,LA>&);
00173 
00174 FT hx() const { return cartesian(0); }
00175 FT hy() const { return cartesian(1); }
00176 FT hz() const { return cartesian(2); }
00177 FT hw() const { return FT(1); }
00178 FT x()  const { return cartesian(0); }
00179 FT y()  const { return cartesian(1); }
00180 FT z()  const { return cartesian(2); }
00181 
00182 }; // PointCd
00183 
00184 #undef PointCd
00185 CGAL_END_NAMESPACE
00186 #endif // CGAL_POINTCDXXX_H 
00187 //----------------------- end of file ----------------------------------
00188 
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