diff --git a/NewKernel_d/include/CGAL/Kernel_d/Cartesian_complete.h b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_complete.h
index 4f676effff5..25ff38b6ef9 100644
--- a/NewKernel_d/include/CGAL/Kernel_d/Cartesian_complete.h
+++ b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_complete.h
@@ -76,6 +76,9 @@ template<class R_,bool force_=false,class Derived_=Default> struct Cartesian_com
 template<class R_,bool force_=false,class Derived_=Default> struct Cartesian_complete_predicates 
 : public R_
 {
+	// TODO: this doesn't look like the right place for this typedef...
+	typedef CartesianDKernelFunctors::Flat_orientation Flat_orientation;
+
 	typedef R_ Kernel_base;
 	typedef typename Default::Get<Derived_,Cartesian_complete_predicates>::type Derived;
 	template<class F,class D=void,class=typename map_functor_type<F>::type> struct Functor :
diff --git a/NewKernel_d/include/CGAL/Kernel_d/Coaffine.h b/NewKernel_d/include/CGAL/Kernel_d/Coaffine.h
index c0f1918dd6f..b7da88507c0 100644
--- a/NewKernel_d/include/CGAL/Kernel_d/Coaffine.h
+++ b/NewKernel_d/include/CGAL/Kernel_d/Coaffine.h
@@ -3,6 +3,7 @@
 #include <vector>
 #include <algorithm>
 #include <iterator>
+#include <CGAL/Dimension.h>
 #include <CGAL/functor_tags.h>
 
 namespace CGAL {
@@ -20,7 +21,7 @@ template<class R_> struct Construct_flat_orientation : private Store_kernel<R_>
 	typedef typename R::template Functor<Compute_cartesian_coordinate_tag>::type CCC;
 	typedef typename R::LA LA;
 	typedef typename Increment_dimension<typename R::Max_ambient_dimension>::type Dplusone;
-	typedef typename LA::template Matrix<Dynamic_dimension,Dynamic_dimension,Dplusone,Dplusone>::type Matrix;
+	typedef typename LA::template Matrix<Dynamic_dimension_tag,Dynamic_dimension_tag,Dplusone,Dplusone>::type Matrix;
 	typedef typename R::template Functor<Point_dimension_tag>::type PD;
 	typedef Flat_orientation result_type;
 
@@ -60,7 +61,7 @@ template<class R_> struct Construct_flat_orientation : private Store_kernel<R_>
 			}
 			//CGAL_assertion(it!=rest.end());
 		}
-		std::sort(proj.begin(),proj.last());
+		std::sort(proj.begin(),proj.end());
 		return o;
 	}
 };
@@ -69,13 +70,14 @@ template<class R_> struct Contained_in_affine_hull : private Store_kernel<R_> {
         CGAL_FUNCTOR_INIT_STORE(Contained_in_affine_hull)
         typedef R_ R;
         typedef typename R_::FT FT;
+	typedef typename R::LA LA;
         typedef typename R::template Type<Point_tag>::type Point;
         typedef typename R::Orientation result_type;
 	typedef typename R::template Functor<Compute_cartesian_coordinate_tag>::type CCC;
 	typedef typename R::template Functor<Point_dimension_tag>::type PD;
 	typedef typename Increment_dimension<typename R::Default_ambient_dimension>::type D1;
 	typedef typename Increment_dimension<typename R::Max_ambient_dimension>::type D2;
-        typedef typename R::LA::template Matrix<D1,D1,D2,D2>::type Matrix;
+        typedef typename LA::template Matrix<D1,D1,D2,D2>::type Matrix;
 
 	// mostly copied from Construct_flat_orientation. TODO: dedup this code.
         template<class Iter>
diff --git a/NewKernel_d/include/CGAL/Kernel_d/Kernel_d_interface.h b/NewKernel_d/include/CGAL/Kernel_d/Kernel_d_interface.h
new file mode 100644
index 00000000000..2466a0a3558
--- /dev/null
+++ b/NewKernel_d/include/CGAL/Kernel_d/Kernel_d_interface.h
@@ -0,0 +1,37 @@
+#ifndef CGAL_KD_KERNEL_3_INTERFACE_H
+#define CGAL_KD_KERNEL_3_INTERFACE_H
+
+#include <CGAL/functor_tags.h>
+#include <CGAL/transforming_iterator.h>
+#include <CGAL/marcutils.h>
+#include <CGAL/tuple.h>
+
+
+namespace CGAL {
+template <class Base_> struct Kernel_d_interface : public Base_ {
+	typedef Base_ Base;
+	typedef Kernel_d_interface<Base> Kernel;
+	typedef typename Base::Flat_orientation Flat_orientation_d;
+	typedef typename Base::template Type<Point_tag>::type Point_d;
+	typedef typename Base::template Type<Vector_tag>::type Vector_d;
+	//typedef typename Base::template Type<Segment_tag>::type Segment_d;
+	typedef typename Base::template Functor<Compare_lexicographically_tag>::type Compare_lexicographically_d;
+	typedef typename Base::template Functor<Orientation_of_points_tag>::type Orientation_d;
+	typedef typename Base::template Functor<Side_of_oriented_sphere_tag>::type Side_of_oriented_sphere_d;
+	typedef typename Base::template Functor<Contained_in_affine_hull_tag>::type Contained_in_affine_hull_d;
+	typedef typename Base::template Functor<Construct_flat_orientation_tag>::type Construct_flat_orientation_d;
+	typedef typename Base::template Functor<In_flat_orientation_tag>::type In_flat_orientation_d;
+	typedef typename Base::template Functor<In_flat_side_of_oriented_sphere_tag>::type In_flat_side_of_oriented_sphere_d;
+
+
+	Compare_lexicographically_d compare_lexicographically_d_object()const{ return Compare_lexicographically_d(*this); }
+	Orientation_d orientation_d_object()const{ return Orientation_d(*this); }
+	Side_of_oriented_sphere_d side_of_oriented_sphere_d_object()const{ return Side_of_oriented_sphere_d(*this); }
+	Contained_in_affine_hull_d contained_in_affine_hull_d_object()const{ return Contained_in_affine_hull_d(*this); }
+	Construct_flat_orientation_d construct_flat_orientation_d_object()const{ return Construct_flat_orientation_d(*this); }
+	In_flat_orientation_d in_flat_orientation_d_object()const{ return In_flat_orientation_d(*this); }
+	In_flat_side_of_oriented_sphere_d in_flat_side_of_oriented_sphere_d_object()const{ return In_flat_side_of_oriented_sphere_d(*this); }
+};
+}
+
+#endif
diff --git a/NewKernel_d/include/CGAL/Kernel_d/function_objects_cartesian.h b/NewKernel_d/include/CGAL/Kernel_d/function_objects_cartesian.h
index c6ecf2a7752..7579ae208c0 100644
--- a/NewKernel_d/include/CGAL/Kernel_d/function_objects_cartesian.h
+++ b/NewKernel_d/include/CGAL/Kernel_d/function_objects_cartesian.h
@@ -490,4 +490,5 @@ template<class R_> struct Compare_lexicographically : private Store_kernel<R_> {
 
 }
 }
+#include <CGAL/Kernel_d/Coaffine.h>
 #endif // CGAL_KERNEL_D_FUNCTION_OBJECTS_CARTESIAN_H
diff --git a/NewKernel_d/include/CGAL/Kernel_d/interface_macros.h b/NewKernel_d/include/CGAL/Kernel_d/interface_macros.h
index 286648bb016..98a089183cb 100644
--- a/NewKernel_d/include/CGAL/Kernel_d/interface_macros.h
+++ b/NewKernel_d/include/CGAL/Kernel_d/interface_macros.h
@@ -78,6 +78,14 @@ CGAL_Kernel_pred(Compare_distance,
 		 compare_distance_object)
 CGAL_Kernel_pred(Compare_lexicographically,
 		 compare_lexicographically_object)
+CGAL_Kernel_pred(Contained_in_affine_hull,
+		 contained_in_affine_hull_object)
+CGAL_Kernel_pred(In_flat_orientation,
+		 in_flat_orientation_object)
+CGAL_Kernel_pred(In_flat_side_of_oriented_sphere,
+		 in_flat_side_of_oriented_sphere_object)
+CGAL_Kernel_pred(Construct_flat_orientation,
+		 construct_flat_orientation_object)
 
 #undef CGAL_Kernel_pred
 #undef CGAL_Kernel_comp