text: // Copyright (c) 2014
  // INRIA Saclay-Ile de France (France)
  //
  // This file is part of CGAL (www.cgal.org); you can redistribute it and/or
  // modify it under the terms of the GNU Lesser General Public License as
  // published by the Free Software Foundation; either version 3 of the License,
  // or (at your option) any later version.
  //
  // Licensees holding a valid commercial license may use this file in
  // accordance with the commercial license agreement provided with the software.
  //
  // This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
  // WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
  //
  // $URL$
  // $Id$
  //
  // Author(s)     : Marc Glisse
  
  #ifndef CGAL_VECTOR_DET_ITER_VEC_VEC_H
  #define CGAL_VECTOR_DET_ITER_VEC_VEC_H
  #include <CGAL/NewKernel_d/functor_tags.h>
  #include <CGAL/Dimension.h>
  
  namespace CGAL {
  
  template <class LA, class Dim_=typename LA::Dimension,
  	 class Max_dim_=typename LA::Max_dimension,
  	 bool = LA::template Property<Has_determinant_of_iterator_to_vectors_tag>::value,
  	 bool = LA::template Property<Has_determinant_of_vectors_tag>::value>
  struct Add_determinant_of_iterator_to_vectors_from_vectors : LA {
    template< class D2, class D3=D2 >
      struct Rebind_dimension {
        typedef typename LA::template Rebind_dimension<D2,D3> LA2;
        typedef Add_determinant_of_iterator_to_vectors_from_vectors<LA2> Other;
      };
  };
  
  //FIXME: Use variadics and boost so it works in any dimension.
  template <class LA, class Max_dim_>
  struct Add_determinant_of_iterator_to_vectors_from_vectors
  <LA, Dimension_tag<2>, Max_dim_, false, true> : LA {
    typedef typename LA::NT NT;
    typedef typename LA::Vector Vector;
    template< class D2, class D3=D2 >
      struct Rebind_dimension {
        typedef typename LA::template Rebind_dimension<D2,D3> LA2;
        typedef Add_determinant_of_iterator_to_vectors_from_vectors<LA2> Other;
      };
    template<class P,class=void> struct Property : LA::template Property<P> {};
    template<class D> struct Property<Has_determinant_of_iterator_to_vectors_tag, D> :
      boost::true_type {};
  
    template<class Iter>
    static NT determinant_of_iterator_to_vectors(Iter const&first, Iter const&end){
      Vector const&a=*first; ++first;
      Vector const&b=*first; CGAL_assertion(++first==end);
      return LA::determinant_of_vectors(a,b);
    }
    template<class Iter>
    static Sign sign_of_determinant_of_iterator_to_vectors(Iter const&first, Iter const&end){
      Vector const&a=*first; ++first;
      Vector const&b=*first; CGAL_assertion(++first==end);
      return LA::sign_of_determinant_of_vectors(a,b);
    }
  };
  
  template <class LA, class Max_dim_>
  struct Add_determinant_of_iterator_to_vectors_from_vectors
  <LA, Dimension_tag<3>, Max_dim_, false, true> : LA {
    typedef typename LA::NT NT;
    typedef typename LA::Vector Vector;
    template< class D2, class D3=D2 >
      struct Rebind_dimension {
        typedef typename LA::template Rebind_dimension<D2,D3> LA2;
        typedef Add_determinant_of_iterator_to_vectors_from_vectors<LA2> Other;
      };
    template<class P,class=void> struct Property : LA::template Property<P> {};
    template<class D> struct Property<Has_determinant_of_iterator_to_vectors_tag, D> :
      boost::true_type {};
  
    template<class Iter>
    static NT determinant_of_iterator_to_vectors(Iter const&first, Iter const&end){
      Vector const&a=*first; ++first;
      Vector const&b=*first; ++first;
      Vector const&c=*first; CGAL_assertion(++first==end);
      return LA::determinant_of_vectors(a,b,c);
    }
    template<class Iter>
    static Sign sign_of_determinant_of_iterator_to_vectors(Iter const&first, Iter const&end){
      Vector const&a=*first; ++first;
      Vector const&b=*first; ++first;
      Vector const&c=*first; CGAL_assertion(++first==end);
      return LA::sign_of_determinant_of_vectors(a,b,c);
    }
  };
  
  template <class LA, class Max_dim_>
  struct Add_determinant_of_iterator_to_vectors_from_vectors
  <LA, Dimension_tag<4>, Max_dim_, false, true> : LA {
    typedef typename LA::NT NT;
    typedef typename LA::Vector Vector;
    template< class D2, class D3=D2 >
      struct Rebind_dimension {
        typedef typename LA::template Rebind_dimension<D2,D3> LA2;
        typedef Add_determinant_of_iterator_to_vectors_from_vectors<LA2> Other;
      };
    template<class P,class=void> struct Property : LA::template Property<P> {};
    template<class D> struct Property<Has_determinant_of_iterator_to_vectors_tag, D> :
      boost::true_type {};
  
    template<class Iter>
    static NT determinant_of_iterator_to_vectors(Iter const&first, Iter const&end){
      Vector const&a=*first; ++first;
      Vector const&b=*first; ++first;
      Vector const&c=*first; ++first;
      Vector const&d=*first; CGAL_assertion(++first==end);
      return LA::determinant_of_vectors(a,b,c,d);
    }
    template<class Iter>
    static Sign sign_of_determinant_of_iterator_to_vectors(Iter const&first, Iter const&end){
      Vector const&a=*first; ++first;
      Vector const&b=*first; ++first;
      Vector const&c=*first; ++first;
      Vector const&d=*first; CGAL_assertion(++first==end);
      return LA::sign_of_determinant_of_vectors(a,b,c,d);
    }
  };
  
  template <class LA, class Max_dim_>
  struct Add_determinant_of_iterator_to_vectors_from_vectors
  <LA, Dimension_tag<5>, Max_dim_, false, true> : LA {
    typedef typename LA::NT NT;
    typedef typename LA::Vector Vector;
    template< class D2, class D3=D2 >
      struct Rebind_dimension {
        typedef typename LA::template Rebind_dimension<D2,D3> LA2;
        typedef Add_determinant_of_iterator_to_vectors_from_vectors<LA2> Other;
      };
    template<class P,class=void> struct Property : LA::template Property<P> {};
    template<class D> struct Property<Has_determinant_of_iterator_to_vectors_tag, D> :
      boost::true_type {};
  
    template<class Iter>
    static NT determinant_of_iterator_to_vectors(Iter const&first, Iter const&end){
      Vector const&a=*first; ++first;
      Vector const&b=*first; ++first;
      Vector const&c=*first; ++first;
      Vector const&d=*first; ++first;
      Vector const&e=*first; CGAL_assertion(++first==end);
      return LA::determinant_of_vectors(a,b,c,d,e);
    }
    template<class Iter>
    static Sign sign_of_determinant_of_iterator_to_vectors(Iter const&first, Iter const&end){
      Vector const&a=*first; ++first;
      Vector const&b=*first; ++first;
      Vector const&c=*first; ++first;
      Vector const&d=*first; ++first;
      Vector const&e=*first; CGAL_assertion(++first==end);
      return LA::sign_of_determinant_of_vectors(a,b,c,d,e);
    }
  };
  
  template <class LA, class Max_dim_>
  struct Add_determinant_of_iterator_to_vectors_from_vectors
  <LA, Dimension_tag<6>, Max_dim_, false, true> : LA {
    typedef typename LA::NT NT;
    typedef typename LA::Vector Vector;
    template< class D2, class D3=D2 >
      struct Rebind_dimension {
        typedef typename LA::template Rebind_dimension<D2,D3> LA2;
        typedef Add_determinant_of_iterator_to_vectors_from_vectors<LA2> Other;
      };
    template<class P,class=void> struct Property : LA::template Property<P> {};
    template<class D> struct Property<Has_determinant_of_iterator_to_vectors_tag, D> :
      boost::true_type {};
  
    template<class Iter>
    static NT determinant_of_iterator_to_vectors(Iter const&first, Iter const&end){
      Vector const&a=*first; ++first;
      Vector const&b=*first; ++first;
      Vector const&c=*first; ++first;
      Vector const&d=*first; ++first;
      Vector const&e=*first; ++first;
      Vector const&f=*first; CGAL_assertion(++first==end);
      return LA::determinant_of_vectors(a,b,c,d,e,f);
    }
    template<class Iter>
    static Sign sign_of_determinant_of_iterator_to_vectors(Iter const&first, Iter const&end){
      Vector const&a=*first; ++first;
      Vector const&b=*first; ++first;
      Vector const&c=*first; ++first;
      Vector const&d=*first; ++first;
      Vector const&e=*first; ++first;
      Vector const&f=*first; CGAL_assertion(++first==end);
      return LA::sign_of_determinant_of_vectors(a,b,c,d,e,f);
    }
  };
  
  }
  #endif
  