diff --git a/NewKernel_d/include/CGAL/Epick_d.h b/NewKernel_d/include/CGAL/Epick_d.h
index 1f54fe65f73..9052004009e 100644
--- a/NewKernel_d/include/CGAL/Epick_d.h
+++ b/NewKernel_d/include/CGAL/Epick_d.h
@@ -10,21 +10,44 @@
 
 
 namespace CGAL {
-template<int d_>
-struct Epick_d_help1
-: Cartesian_filter_K<
-    Cartesian_base_d<double, Dimension_tag<d_> >,
-    Cartesian_base_d<Interval_nt_advanced, Dimension_tag<d_> >,
-    Cartesian_base_d<Gmpq, Dimension_tag<d_> >
+#define CGAL_BASE \
+  Cartesian_filter_K< \
+    Cartesian_base_d<double, Dim>, \
+    Cartesian_base_d<Interval_nt_advanced, Dim>, \
+    Cartesian_base_d<Gmpq, Dim> \
   >
-{};
-template<int d_>
+template<class Dim>
+struct Epick_d_help1
+: CGAL_BASE
+{
+  CGAL_CONSTEXPR Epick_d_help1(){}
+  CGAL_CONSTEXPR Epick_d_help1(int d):CGAL_BASE(d){}
+};
+#undef CGAL_BASE
+#define CGAL_BASE \
+  Cartesian_static_filters<Dim,Epick_d_help1<Dim>,Epick_d_help2<Dim> >
+template<class Dim>
 struct Epick_d_help2
-: Cartesian_static_filters<Dimension_tag<d_>,Epick_d_help1<d_>,Epick_d_help2<d_> >
-{};
+: CGAL_BASE
+{
+  CGAL_CONSTEXPR Epick_d_help2(){}
+  CGAL_CONSTEXPR Epick_d_help2(int d):CGAL_BASE(d){}
+};
+#undef CGAL_BASE
+#define CGAL_BASE \
+  Kernel_d_interface< Cartesian_wrap< Epick_d_help2< \
+    typename boost::conditional< d_==UNKNOWN_DIMENSION, \
+                                 Dynamic_dimension_tag, \
+				 Dimension_tag<d_> \
+    >::type \
+  > > >
 template<int d_>
 struct Epick_d
-: Kernel_d_interface<Cartesian_wrap<Epick_d_help2<d_> > >
-{};
+: CGAL_BASE
+{
+  CGAL_CONSTEXPR Epick_d(){}
+  CGAL_CONSTEXPR Epick_d(int d):CGAL_BASE(d){}
+};
+#undef CGAL_BASE
 }
 #endif
diff --git a/NewKernel_d/include/CGAL/Kernel_d/Cartesian_base.h b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_base.h
index 8060a39222b..f97e6e015d3 100644
--- a/NewKernel_d/include/CGAL/Kernel_d/Cartesian_base.h
+++ b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_base.h
@@ -6,24 +6,25 @@
 #include <CGAL/Kernel_d/Cartesian_LA_base.h>
 
 namespace CGAL {
-
-template < typename FT_, typename Dim_, typename Derived_=Default>
-struct Cartesian_base_d : public
-Cartesian_complete_predicates<
-Cartesian_complete_constructors<
-Cartesian_complete_computes<
-Cartesian_complete_types<
-Cartesian_LA_base_d<
-		    FT_, Dim_
->, false, typename Default::Get<Derived_,Cartesian_base_d<FT_,Dim_> >::type
->, false, typename Default::Get<Derived_,Cartesian_base_d<FT_,Dim_> >::type
->, false, typename Default::Get<Derived_,Cartesian_base_d<FT_,Dim_> >::type
->, false, typename Default::Get<Derived_,Cartesian_base_d<FT_,Dim_> >::type
+#define CGAL_BASE \
+Cartesian_complete_predicates< \
+Cartesian_complete_constructors< \
+Cartesian_complete_computes< \
+Cartesian_complete_types< \
+Cartesian_LA_base_d< \
+		    FT_, Dim_ \
+>, false, typename Default::Get<Derived_,Cartesian_base_d<FT_,Dim_> >::type \
+>, false, typename Default::Get<Derived_,Cartesian_base_d<FT_,Dim_> >::type \
+>, false, typename Default::Get<Derived_,Cartesian_base_d<FT_,Dim_> >::type \
+>, false, typename Default::Get<Derived_,Cartesian_base_d<FT_,Dim_> >::type \
 >
+template < typename FT_, typename Dim_, typename Derived_=Default>
+struct Cartesian_base_d : public CGAL_BASE
 {
     CGAL_CONSTEXPR Cartesian_base_d(){}
-    CGAL_CONSTEXPR Cartesian_base_d(int d):Dimension_base<Dim_>(d){}
+    CGAL_CONSTEXPR Cartesian_base_d(int d):CGAL_BASE(d){}
 };
+#undef CGAL_BASE
 
 } //namespace CGAL
 
diff --git a/NewKernel_d/include/CGAL/Kernel_d/Cartesian_complete.h b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_complete.h
index d9f6d3e5877..a81f7ed3bca 100644
--- a/NewKernel_d/include/CGAL/Kernel_d/Cartesian_complete.h
+++ b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_complete.h
@@ -49,6 +49,9 @@ template<class R_,class Derived_> struct Cartesian_define_all_functors
 template<class R_,bool force_=false,class Derived_=Default> struct Cartesian_complete_types 
 : public R_
 {
+  CGAL_CONSTEXPR Cartesian_complete_types(){}
+  CGAL_CONSTEXPR Cartesian_complete_types(int d):R_(d){}
+
 	typedef R_ Kernel_base;
 	typedef typename Default::Get<Derived_,Cartesian_complete_types>::type Derived;
 #if 0
@@ -73,6 +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_constructors 
 : public R_
 {
+  CGAL_CONSTEXPR Cartesian_complete_constructors(){}
+  CGAL_CONSTEXPR Cartesian_complete_constructors(int d):R_(d){}
+
 	typedef R_ Kernel_base;
 	typedef typename Default::Get<Derived_,Cartesian_complete_constructors>::type Derived;
 	template<class F,class D=void,class=typename map_functor_type<F>::type> struct Functor :
@@ -89,6 +95,9 @@ 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_
 {
+  CGAL_CONSTEXPR Cartesian_complete_predicates(){}
+  CGAL_CONSTEXPR Cartesian_complete_predicates(int d):R_(d){}
+
 	// TODO: this doesn't look like the right place for this typedef...
 	typedef CartesianDKernelFunctors::Flat_orientation Flat_orientation;
 
@@ -108,6 +117,9 @@ template<class R_,bool force_=false,class Derived_=Default> struct Cartesian_com
 template<class R_,bool force_=false,class Derived_=Default> struct Cartesian_complete_computes 
 : public R_
 {
+  CGAL_CONSTEXPR Cartesian_complete_computes(){}
+  CGAL_CONSTEXPR Cartesian_complete_computes(int d):R_(d){}
+
 	typedef R_ Kernel_base;
 	typedef typename Default::Get<Derived_,Cartesian_complete_computes>::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/Cartesian_static_filters.h b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_static_filters.h
index 36042fd4911..64948d910f1 100644
--- a/NewKernel_d/include/CGAL/Kernel_d/Cartesian_static_filters.h
+++ b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_static_filters.h
@@ -47,9 +47,16 @@ template <class Base_,class R_> struct Orientation_of_points_2 : private Store_k
 };
 }
 
-template <class Dim_ /* should be implicit */, class R_, class Derived_=Default> struct Cartesian_static_filters : public R_ {};
+template <class Dim_ /* should be implicit */, class R_, class Derived_=Default>
+struct Cartesian_static_filters : public R_ {
+  CGAL_CONSTEXPR Cartesian_static_filters(){}
+  CGAL_CONSTEXPR Cartesian_static_filters(int d):R_(d){}
+};
 
-template <class R_, class Derived_> struct Cartesian_static_filters<Dimension_tag<2>, R_, Derived_> : public R_ {
+template <class R_, class Derived_>
+struct Cartesian_static_filters<Dimension_tag<2>, R_, Derived_> : public R_ {
+  CGAL_CONSTEXPR Cartesian_static_filters(){}
+  CGAL_CONSTEXPR Cartesian_static_filters(int d):R_(d){}
 	typedef Cartesian_static_filters<Dimension_tag<2>, R_, Derived_> Self;
 	typedef typename Default::Get<Derived_,Self>::type Derived;
 	template <class T, class=void> struct Functor : R_::template Functor<T> {};
diff --git a/NewKernel_d/include/CGAL/Kernel_d/Kernel_d_interface.h b/NewKernel_d/include/CGAL/Kernel_d/Kernel_d_interface.h
index 82706289c37..5e944725fae 100644
--- a/NewKernel_d/include/CGAL/Kernel_d/Kernel_d_interface.h
+++ b/NewKernel_d/include/CGAL/Kernel_d/Kernel_d_interface.h
@@ -9,6 +9,9 @@
 
 namespace CGAL {
 template <class Base_> struct Kernel_d_interface : public Base_ {
+  CGAL_CONSTEXPR Kernel_d_interface(){}
+  CGAL_CONSTEXPR Kernel_d_interface(int d):Base_(d){}
+
 	typedef Base_ Base;
 	typedef Kernel_d_interface<Base> Kernel;
 	typedef Base_ R_; // for the macros
diff --git a/NewKernel_d/test/NewKernel_d/test.cpp b/NewKernel_d/test/NewKernel_d/test.cpp
index bd8b08056fb..9b83adac7e4 100644
--- a/NewKernel_d/test/NewKernel_d/test.cpp
+++ b/NewKernel_d/test/NewKernel_d/test.cpp
@@ -91,11 +91,17 @@ void test2(){
   typedef typename K1::In_flat_orientation_d IFO;
   typedef typename K1::In_flat_side_of_oriented_sphere_d IFSOS;
   typedef typename K1::Contained_in_affine_hull_d CAH;
+  typedef typename K1::Compare_lexicographically_d CL;
 
   USE_TYPE(V);
   USE_TYPE(CV);
   USE_TYPE(FO);
-  Ker k;
+  USE_TYPE(CL);
+  Ker k
+#if 0
+    (2)
+#endif
+    ;
   CP cp Kinit(construct_point_d_object);
   CCI ci Kinit(construct_cartesian_const_iterator_d_object);
   CC cc Kinit(compute_coordinate_d_object);
@@ -148,14 +154,20 @@ void test3(){
   typedef typename K1::In_flat_orientation_d IFO;
   typedef typename K1::In_flat_side_of_oriented_sphere_d IFSOS;
   typedef typename K1::Contained_in_affine_hull_d CAH;
+  typedef typename K1::Compare_lexicographically_d CL;
 
   USE_TYPE(V);
   USE_TYPE(CV);
   USE_TYPE(FO);
-  Ker k;
+  Ker k
+#if 0
+    (3)
+#endif
+    ;
   CP cp Kinit(construct_point_d_object);
   CCI ci Kinit(construct_cartesian_const_iterator_d_object);
   CC cc Kinit(compute_coordinate_d_object);
+  CL cl Kinit(compare_lexicographically_d_object);
   PO po Kinit(orientation_d_object);
   CS cs Kinit(construct_segment_d_object);
   CSE cse (k);
@@ -210,6 +222,8 @@ void test3(){
   std::cout << sos(buf+0,buf+5) << '\n';
   assert(cah(y+0,y+3,y[3]));
   assert(!cah(y+0,y+3,buf[0]));
+  assert(cl(a,a)==CGAL::EQUAL);
+  assert(cl(a,b)==CGAL::LARGER);
 }
 
 int main(){