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diff --git a/include/gudhi_patches/CGAL/NewKernel_d/functor_tags.h b/include/gudhi_patches/CGAL/NewKernel_d/functor_tags.h
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+++ b/include/gudhi_patches/CGAL/NewKernel_d/functor_tags.h
@@ -0,0 +1,363 @@
+// 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_FUNCTOR_TAGS_H
+#define CGAL_FUNCTOR_TAGS_H
+#include <CGAL/tags.h> // for Null_tag
+#include <CGAL/NewKernel_d/utils.h>
+#ifdef CGAL_CXX11
+#include <type_traits>
+#include <utility>
+#endif
+#include <boost/type_traits.hpp>
+#include <boost/mpl/has_xxx.hpp>
+#include <boost/mpl/not.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/mpl/vector.hpp>
+#include <boost/mpl/empty.hpp>
+#include <boost/mpl/front.hpp>
+#include <boost/mpl/pop_front.hpp>
+namespace CGAL {
+
+ // Find a better place for this later
+
+ template <class K, class T, class=void> struct Get_type
+ : K::template Type<T> {};
+ template <class K, class F, class O=void, class=void> struct Get_functor
+ : K::template Functor<F, O> {};
+#ifdef CGAL_CXX11
+ template <class K, class T> using Type = typename Get_type<K, T>::type;
+ template <class K, class T> using Functor = typename Get_functor<K, T>::type;
+#endif
+
+ class Null_type {~Null_type();}; // no such object should be created
+
+ // To construct iterators
+ struct Begin_tag {};
+ struct End_tag {};
+
+ // Functor category
+ struct Predicate_tag {};
+ struct Construct_tag {};
+ struct Construct_iterator_tag {};
+ struct Compute_tag {};
+ struct Misc_tag {};
+
+ struct No_filter_tag {};
+
+ template<class>struct Construct_ttag {};
+ template<class>struct Convert_ttag {};
+
+ template <class K, class F, class=void, class=void> struct Get_functor_category { typedef Misc_tag type; };
+ template<class Tg, class Obj, class Base> struct Typedef_tag_type;
+ //template<class Kernel, class Tg> struct Read_tag_type {};
+
+ template<class Kernel, class Tg>
+ struct Provides_type
+ : Has_type_different_from<Get_type<Kernel, Tg>, Null_type> {};
+
+ template<class Kernel, class Tg, class O=void>
+ struct Provides_functor
+ : Has_type_different_from<Get_functor<Kernel, Tg, O>, Null_functor> {};
+
+ template<class K, class List, bool=boost::mpl::empty<List>::type::value>
+ struct Provides_functors : boost::mpl::and_ <
+ Provides_functor<K, typename boost::mpl::front<List>::type>,
+ Provides_functors<K, typename boost::mpl::pop_front<List>::type> > {};
+ template<class K, class List>
+ struct Provides_functors<K, List, true> : boost::true_type {};
+
+ template<class K, class List, bool=boost::mpl::empty<List>::type::value>
+ struct Provides_types : boost::mpl::and_ <
+ Provides_type<K, typename boost::mpl::front<List>::type>,
+ Provides_types<K, typename boost::mpl::pop_front<List>::type> > {};
+ template<class K, class List>
+ struct Provides_types<K, List, true> : boost::true_type {};
+
+ namespace internal { BOOST_MPL_HAS_XXX_TRAIT_NAMED_DEF(has_Type,template Type<Null_tag>,false) }
+ template<class Kernel, class Tg,
+ bool = internal::has_Type<Kernel>::value /* false */>
+ struct Provides_type_i : boost::false_type {};
+ template<class Kernel, class Tg>
+ struct Provides_type_i <Kernel, Tg, true>
+ : Has_type_different_from<typename Kernel::template Type<Tg>, Null_type> {};
+
+ //// This version does not like Functor<T,bool=false>
+ //namespace internal { BOOST_MPL_HAS_XXX_TEMPLATE_NAMED_DEF(has_Functor,Functor,false) }
+ // This version lets us use non-type template parameters, but fails with older EDG-based compilers (Intel 14).
+ namespace internal { BOOST_MPL_HAS_XXX_TRAIT_NAMED_DEF(has_Functor,template Functor<Null_tag>,false) }
+
+ template<class Kernel, class Tg, class O=void,
+ bool = internal::has_Functor<Kernel>::value /* false */>
+ struct Provides_functor_i : boost::false_type {};
+ template<class Kernel, class Tg, class O>
+ struct Provides_functor_i <Kernel, Tg, O, true>
+ : Has_type_different_from<typename Kernel::template Functor<Tg, O>, Null_functor> {};
+
+ // TODO: Refine this a bit.
+ template <class K, class T, class D=void,
+ //bool=Provides_functor<K,T>::value,
+ //bool=Provides_functor_i<K,T>::value,
+ bool = internal::has_Functor<K>::value
+ >
+ struct Inherit_functor : K::template Functor<T> {};
+ template <class K, class T, class D>
+ struct Inherit_functor <K, T, D, false> {};
+
+ template <class K, class T, bool=internal::has_Type<K>::value>
+ struct Inherit_type : K::template Type<T> {};
+ template <class K, class T>
+ struct Inherit_type <K, T, false> {};
+
+ struct Number_tag {};
+ struct Discrete_tag {};
+ struct Object_tag {};
+ template <class K, class T, class=void> struct Get_type_category {
+ // The lazy kernel uses it too eagerly,
+ // so it currently needs a default.
+ typedef Null_tag type;
+ };
+
+#define CGAL_DECL_OBJ_(X,Y) \
+ template<class Obj,class Base> \
+ struct Typedef_tag_type<X##_tag, Obj, Base> : Base { typedef Obj X; }; \
+ template<class K, class D> \
+ struct Get_type_category <K, X##_tag, D> { typedef Y##_tag type; }
+#define CGAL_DECL_OBJ(X,Y) struct X##_tag {}; \
+ CGAL_DECL_OBJ_(X,Y)
+
+ //namespace has_object { BOOST_MPL_HAS_XXX_TRAIT_DEF(X) }
+ //template<class Kernel>
+ //struct Provides_tag_type<Kernel, X##_tag> : has_object::has_##X<Kernel> {};
+ //template<class Kernel>
+ //struct Read_tag_type<Kernel, X##_tag> { typedef typename Kernel::X type; }
+
+ // Not exactly objects, but the extras can't hurt.
+ CGAL_DECL_OBJ(FT, Number);
+ CGAL_DECL_OBJ(RT, Number);
+
+ CGAL_DECL_OBJ(Bool, Discrete); // Boolean_tag is already taken, and is a template :-(
+ CGAL_DECL_OBJ(Comparison_result, Discrete);
+ CGAL_DECL_OBJ(Sign, Discrete);
+ CGAL_DECL_OBJ(Orientation, Discrete); // Note: duplicate with the functor tag!
+ CGAL_DECL_OBJ(Oriented_side, Discrete);
+ CGAL_DECL_OBJ(Bounded_side, Discrete);
+ CGAL_DECL_OBJ(Angle, Discrete);
+ CGAL_DECL_OBJ(Flat_orientation, Discrete);
+
+ CGAL_DECL_OBJ(Vector, Object);
+ CGAL_DECL_OBJ(Point, Object);
+ CGAL_DECL_OBJ(Segment, Object);
+ CGAL_DECL_OBJ(Sphere, Object);
+ CGAL_DECL_OBJ(Line, Object);
+ CGAL_DECL_OBJ(Direction, Object);
+ CGAL_DECL_OBJ(Hyperplane, Object);
+ CGAL_DECL_OBJ(Ray, Object);
+ CGAL_DECL_OBJ(Iso_box, Object);
+ CGAL_DECL_OBJ(Bbox, Object);
+ CGAL_DECL_OBJ(Aff_transformation, Object);
+ CGAL_DECL_OBJ(Weighted_point, Object);
+#undef CGAL_DECL_OBJ_
+#undef CGAL_DECL_OBJ
+
+// Intel fails with those, and they are not so useful.
+// CGAL_KD_DEFAULT_TYPE(RT_tag,(typename Get_type<K, FT_tag>::type),(),());
+// CGAL_KD_DEFAULT_TYPE(FT_tag,(CGAL::Quotient<typename Get_type<K, RT_tag>::type>),(),());
+
+#define CGAL_SMURF2(A,B) CGAL_KD_DEFAULT_TYPE(A##_tag,(typename Same_uncertainty_nt<B, typename Get_type<K,RT_tag>::type>::type),(RT_tag),())
+#define CGAL_SMURF1(A) CGAL_SMURF2(A,CGAL::A)
+ CGAL_SMURF2(Bool, bool);
+ CGAL_SMURF1(Sign);
+ CGAL_SMURF1(Comparison_result);
+ CGAL_SMURF1(Orientation);
+ CGAL_SMURF1(Oriented_side);
+ CGAL_SMURF1(Bounded_side);
+ CGAL_SMURF1(Angle);
+#undef CGAL_SMURF1
+#undef CGAL_SMURF2
+
+ // TODO: replace with Get_type_category
+ template<class> struct is_NT_tag { enum { value = false }; };
+ template<> struct is_NT_tag<FT_tag> { enum { value = true }; };
+ template<> struct is_NT_tag<RT_tag> { enum { value = true }; };
+
+ template<class> struct iterator_tag_traits {
+ enum { is_iterator = false, has_nth_element = false };
+ typedef Null_tag value_tag;
+ };
+
+#define CGAL_DECL_COMPUTE(X) struct X##_tag {}; \
+ template<class A,class B,class C>struct Get_functor_category<A,X##_tag,B,C>{typedef Compute_tag type;}
+ CGAL_DECL_COMPUTE(Compute_point_cartesian_coordinate);
+ CGAL_DECL_COMPUTE(Compute_vector_cartesian_coordinate);
+ CGAL_DECL_COMPUTE(Compute_homogeneous_coordinate);
+ CGAL_DECL_COMPUTE(Squared_distance);
+ CGAL_DECL_COMPUTE(Squared_distance_to_origin);
+ CGAL_DECL_COMPUTE(Squared_length);
+ CGAL_DECL_COMPUTE(Squared_radius);
+ CGAL_DECL_COMPUTE(Squared_circumradius);
+ CGAL_DECL_COMPUTE(Scalar_product);
+ CGAL_DECL_COMPUTE(Hyperplane_translation);
+ CGAL_DECL_COMPUTE(Value_at);
+ CGAL_DECL_COMPUTE(Point_weight);
+ CGAL_DECL_COMPUTE(Power_distance);
+ CGAL_DECL_COMPUTE(Power_distance_to_point);
+#undef CGAL_DECL_COMPUTE
+
+#define CGAL_DECL_ITER_OBJ(X,Y,Z,C) struct X##_tag {}; \
+ template<>struct iterator_tag_traits<X##_tag> { \
+ enum { is_iterator = true, has_nth_element = true }; \
+ typedef Y##_tag value_tag; \
+ typedef Z##_tag nth_element; \
+ typedef C##_tag container; \
+ }; \
+ template<class Obj,class Base> \
+ struct Typedef_tag_type<X##_tag, Obj, Base> : Base { typedef Obj X; }
+
+ //namespace has_object { BOOST_MPL_HAS_XXX_TRAIT_DEF(X) }
+ //template<class Kernel>
+ //struct Provides_tag_type<Kernel, X##_tag> : has_object::has_##X<Kernel> {};
+ //template<class Kernel>
+ //struct Read_tag_type<Kernel, X##_tag> { typedef typename Kernel::X type; }
+
+ CGAL_DECL_ITER_OBJ(Vector_cartesian_const_iterator, FT, Compute_vector_cartesian_coordinate, Vector);
+ CGAL_DECL_ITER_OBJ(Point_cartesian_const_iterator, FT, Compute_point_cartesian_coordinate, Point);
+#undef CGAL_DECL_ITER_OBJ
+
+ template<class>struct map_result_tag{typedef Null_type type;};
+ template<class T>struct map_result_tag<Construct_ttag<T> >{typedef T type;};
+
+ template<class A,class T,class B,class C>struct Get_functor_category<A,Construct_ttag<T>,B,C> :
+ boost::mpl::if_c<iterator_tag_traits<T>::is_iterator,
+ Construct_iterator_tag,
+ Construct_tag> {};
+
+ // Really?
+ template<class A,class T,class B,class C>struct Get_functor_category<A,Convert_ttag<T>,B,C>{typedef Misc_tag type;};
+
+#define CGAL_DECL_CONSTRUCT(X,Y) struct X##_tag {}; \
+ template<>struct map_result_tag<X##_tag>{typedef Y##_tag type;}; \
+ template<class A,class B,class C>struct Get_functor_category<A,X##_tag,B,C>{typedef Construct_tag type;}
+ CGAL_DECL_CONSTRUCT(Midpoint,Point);
+ CGAL_DECL_CONSTRUCT(Center_of_sphere,Point);
+ CGAL_DECL_CONSTRUCT(Point_of_sphere,Point);
+ CGAL_DECL_CONSTRUCT(Segment_extremity,Point);
+ CGAL_DECL_CONSTRUCT(Sum_of_vectors,Vector);
+ CGAL_DECL_CONSTRUCT(Difference_of_vectors,Vector);
+ CGAL_DECL_CONSTRUCT(Opposite_vector,Vector);
+ CGAL_DECL_CONSTRUCT(Scaled_vector,Vector);
+ CGAL_DECL_CONSTRUCT(Orthogonal_vector,Vector);
+ CGAL_DECL_CONSTRUCT(Difference_of_points,Vector);
+ CGAL_DECL_CONSTRUCT(Translated_point,Point);
+ CGAL_DECL_CONSTRUCT(Point_to_vector,Vector);
+ CGAL_DECL_CONSTRUCT(Vector_to_point,Point);
+ CGAL_DECL_CONSTRUCT(Construct_min_vertex,Point);
+ CGAL_DECL_CONSTRUCT(Construct_max_vertex,Point);
+ CGAL_DECL_CONSTRUCT(Construct_circumcenter,Point);
+ CGAL_DECL_CONSTRUCT(Point_drop_weight,Point);
+ CGAL_DECL_CONSTRUCT(Power_center,Weighted_point);
+#undef CGAL_DECL_CONSTRUCT
+#if 0
+#define CGAL_DECL_ITER_CONSTRUCT(X,Y) struct X##_tag {}; \
+ template<>struct map_result_tag<X##_tag>{typedef Y##_tag type;}; \
+ template<>struct map_functor_type<X##_tag>{typedef Construct_iterator_tag type;}
+ CGAL_DECL_ITER_CONSTRUCT(Construct_point_cartesian_const_iterator,Point_cartesian_const_iterator);
+ CGAL_DECL_ITER_CONSTRUCT(Construct_vector_cartesian_const_iterator,Vector_cartesian_const_iterator);
+#undef CGAL_DECL_ITER_CONSTRUCT
+#endif
+
+ //FIXME: choose a convention: prefix with Predicate_ ?
+#define CGAL_DECL_PREDICATE_(X) \
+ template<class A,class B,class C>struct Get_functor_category<A,X##_tag,B,C>{typedef Predicate_tag type;}
+#define CGAL_DECL_PREDICATE(X) struct X##_tag {}; \
+ CGAL_DECL_PREDICATE_(X)
+ CGAL_DECL_PREDICATE(Less_point_cartesian_coordinate);
+ CGAL_DECL_PREDICATE(Compare_point_cartesian_coordinate);
+ CGAL_DECL_PREDICATE(Compare_distance);
+ CGAL_DECL_PREDICATE(Compare_lexicographically);
+ CGAL_DECL_PREDICATE(Less_lexicographically);
+ CGAL_DECL_PREDICATE(Less_or_equal_lexicographically);
+ CGAL_DECL_PREDICATE(Equal_points);
+ CGAL_DECL_PREDICATE(Has_on_positive_side);
+ CGAL_DECL_PREDICATE_(Orientation); // duplicate with the type
+ CGAL_DECL_PREDICATE_(Oriented_side); // duplicate with the type
+ CGAL_DECL_PREDICATE(Orientation_of_points);
+ CGAL_DECL_PREDICATE(Orientation_of_vectors);
+ CGAL_DECL_PREDICATE(Side_of_oriented_sphere);
+ CGAL_DECL_PREDICATE(Side_of_bounded_sphere);
+ CGAL_DECL_PREDICATE(Side_of_bounded_circumsphere);
+ CGAL_DECL_PREDICATE(Contained_in_affine_hull);
+ CGAL_DECL_PREDICATE(In_flat_orientation);
+ CGAL_DECL_PREDICATE(In_flat_side_of_oriented_sphere);
+ CGAL_DECL_PREDICATE(Construct_flat_orientation); // Making it a predicate is a questionable choice, it should be possible to let it be a construction for some implementations. Not sure how to do that... TODO
+ CGAL_DECL_PREDICATE(Linear_rank);
+ CGAL_DECL_PREDICATE(Affine_rank);
+ CGAL_DECL_PREDICATE(Linearly_independent);
+ CGAL_DECL_PREDICATE(Affinely_independent);
+ CGAL_DECL_PREDICATE(Contained_in_linear_hull);
+ CGAL_DECL_PREDICATE(Contained_in_simplex);
+ CGAL_DECL_PREDICATE(Power_side_of_power_sphere_raw);
+ CGAL_DECL_PREDICATE(Power_side_of_power_sphere);
+ CGAL_DECL_PREDICATE(In_flat_power_side_of_power_sphere_raw);
+ CGAL_DECL_PREDICATE(In_flat_power_side_of_power_sphere);
+#undef CGAL_DECL_PREDICATE
+
+#define CGAL_DECL_MISC(X) struct X##_tag {}; \
+ template<class A,class B,class C>struct Get_functor_category<A,X##_tag,B,C>{typedef Misc_tag type;}
+ //TODO: split into _begin and _end ?
+ //CGAL_DECL_MISC(Construct_point_cartesian_const_iterator);
+ //CGAL_DECL_MISC(Construct_vector_cartesian_const_iterator);
+ CGAL_DECL_MISC(Point_dimension);
+ CGAL_DECL_MISC(Vector_dimension);
+ CGAL_DECL_MISC(Linear_base); // Find a more appropriate category?
+#undef CGAL_DECL_MISC
+
+
+ // Properties for LA
+ struct Has_extra_dimension_tag {};
+ struct Has_vector_plus_minus_tag {};
+ struct Has_vector_scalar_ops_tag {};
+ struct Has_dot_product_tag {};
+ struct Has_determinant_of_vectors_tag {};
+ struct Has_determinant_of_points_tag {};
+ struct Has_determinant_of_iterator_to_vectors_tag {};
+ struct Has_determinant_of_iterator_to_points_tag {};
+ struct Has_determinant_of_vectors_omit_last_tag {};
+ struct Stores_squared_norm_tag {};
+
+ template<class> struct Preserved_by_non_linear_extra_coordinate
+ : boost::false_type {};
+ template<> struct Preserved_by_non_linear_extra_coordinate
+ <Has_extra_dimension_tag> : boost::true_type {};
+ template<> struct Preserved_by_non_linear_extra_coordinate
+ <Has_determinant_of_vectors_tag> : boost::true_type {};
+ template<> struct Preserved_by_non_linear_extra_coordinate
+ <Has_determinant_of_points_tag> : boost::true_type {};
+ template<> struct Preserved_by_non_linear_extra_coordinate
+ <Has_determinant_of_iterator_to_vectors_tag> : boost::true_type {};
+ template<> struct Preserved_by_non_linear_extra_coordinate
+ <Has_determinant_of_iterator_to_points_tag> : boost::true_type {};
+ template<> struct Preserved_by_non_linear_extra_coordinate
+ <Has_determinant_of_vectors_omit_last_tag> : boost::true_type {};
+
+ // Kernel properties
+ struct Point_stores_squared_distance_to_origin_tag {};
+
+}
+#endif // CGAL_FUNCTOR_TAGS_H