diff --git a/Arrangement_on_surface_2/include/CGAL/Arr_batched_point_location.h b/Arrangement_on_surface_2/include/CGAL/Arr_batched_point_location.h
index 6bd7df03707..aa31d95dd89 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arr_batched_point_location.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arr_batched_point_location.h
@@ -24,7 +24,7 @@
 #include <CGAL/Arrangement_on_surface_2.h>
 #include <CGAL/No_intersection_surface_sweep_2.h>
 #include <CGAL/Arr_point_location/Arr_batched_point_location_traits_2.h>
-#include <CGAL/Surface_sweep_2/No_overlap_event_base.h>
+#include <CGAL/Surface_sweep_2/No_overlap_event.h>
 #include <CGAL/Surface_sweep_2/No_overlap_subcurve.h>
 #include <CGAL/Surface_sweep_2/Arr_batched_pl_sl_visitor.h>
 
@@ -74,7 +74,8 @@ locate(const Arrangement_on_surface_2<GeometryTraits_2, TopologyTraits>& arr,
   // Surface sweep types
   typedef Arr_batched_point_location_traits_2<Arr>      Bgt2;
   typedef Ss2::No_overlap_event<Bgt2, Allocator>        Bpl_event;
-  typedef Ss2::No_overlap_subcurve<Bgt2, Bpl_event>     Bpl_curve;
+  typedef Ss2::No_overlap_subcurve<Bgt2, Bpl_event, Allocator>
+                                                        Bpl_curve;
   typedef typename Tt::template Batched_point_location_helper<Bpl_event,
                                                               Bpl_curve>
                                                         Bpl_helper;
diff --git a/Arrangement_on_surface_2/include/CGAL/Arr_overlay_2.h b/Arrangement_on_surface_2/include/CGAL/Arr_overlay_2.h
index a1f3c7182cd..e8fa7abe589 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arr_overlay_2.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arr_overlay_2.h
@@ -43,10 +43,13 @@
 namespace CGAL {
 
 /*! Compute the overlay of two input arrangements.
- * \param arr1 The first arrangement.
- * \param arr2 The second arrangement.
- * \param arr Output: The resulting arrangement.
- * \param ovl_tr An overlay-traits class. As arr1, arr2 and res can be
+ * \tparam GeometryTraitsA_2 the geometry traits of the first arrangement.
+ * \tparam GeometryTraitsB_2 the geometry traits of the second arrangement.
+ * \tparam GeometryTraitsRes_2 the geometry traits of the resulting arrangement.
+ * \tparam TopologyTraitsA the topology traits of the first arrangement.
+ * \tparam TopologyTraitsB the topology traits of the second arrangement.
+ * \tparam TopologyTraitsRes the topology traits of the resulting arrangement.
+ * \tparam OverlayTraits An overlay-traits class. As arr1, arr2 and res can be
  *               templated with different geometry-traits class and
  *               different DCELs (encapsulated in the various topology-traits
  *               classes). The geometry-traits of the result arrangement is
diff --git a/Arrangement_on_surface_2/include/CGAL/Arr_vertical_decomposition_2.h b/Arrangement_on_surface_2/include/CGAL/Arr_vertical_decomposition_2.h
index 53cb6a9f008..4aff3cee3ff 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arr_vertical_decomposition_2.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arr_vertical_decomposition_2.h
@@ -22,7 +22,7 @@
 #include <CGAL/Arrangement_on_surface_2.h>
 #include <CGAL/No_intersection_surface_sweep_2.h>
 #include <CGAL/Arr_point_location/Arr_batched_point_location_traits_2.h>
-#include <CGAL/Surface_sweep_2/No_overlap_event_base.h>
+#include <CGAL/Surface_sweep_2/No_overlap_event.h>
 #include <CGAL/Surface_sweep_2/No_overlap_subcurve.h>
 #include <CGAL/Surface_sweep_2/Arr_vert_decomp_sl_visitor.h>
 
@@ -69,7 +69,8 @@ decompose(const Arrangement_on_surface_2<GeometryTraits_2, TopologyTraits>& arr,
   // Surface sweep types:
   typedef Arr_batched_point_location_traits_2<Arr>      Vgt2;
   typedef Ss2::No_overlap_event<Vgt2, Allocator>        Vd_event;
-  typedef Ss2::No_overlap_subcurve<Vgt2, Vd_event>      Vd_curve;
+  typedef Ss2::No_overlap_subcurve<Vgt2, Vd_event, Allocator>
+                                                        Vd_curve;
   typedef typename Tt::template
     Vertical_decomposition_helper<Vd_event, Vd_curve>   Vd_helper;
   typedef Arr_vert_decomp_sl_visitor<Vd_helper, Output_iterator>
diff --git a/Arrangement_on_surface_2/include/CGAL/Surface_sweep_2/Arr_construction_event.h b/Arrangement_on_surface_2/include/CGAL/Surface_sweep_2/Arr_construction_event.h
index 3fa0115a324..bd2ea6c9f85 100644
--- a/Arrangement_on_surface_2/include/CGAL/Surface_sweep_2/Arr_construction_event.h
+++ b/Arrangement_on_surface_2/include/CGAL/Surface_sweep_2/Arr_construction_event.h
@@ -42,10 +42,13 @@ namespace Ss2 = Surface_sweep_2;
  * 2D arrangement.
  *
  * \tparam GeometryTraits_2 the geometry traits.
+ * \tparam Arrangement_ the type of the costructed arrangement.
  * \tparam Allocator_ a type of an element that is used to acquire/release
  *                    memory for elements of the event queue and the status
  *                    structure, and to construct/destroy the elements in that
  *                    memory. The type must meet the requirements of Allocator.
+ * \tparam SurfaceSweepBaseEvent the base class of the event.
+ * \tparam SurfaceSweepBaseCurve the base class of the subcurve.
  *
  * We exploit the curiously recurring template pattern (CRTP) idiom to establish
  * an interdependency between the curve and the event types, which are template
@@ -64,7 +67,7 @@ template <typename GeometryTraits_2, typename Arrangement_,
           typename Allocator_ = CGAL_ALLOCATOR(int),
           template <typename, typename>
           class SurfaceSweepBaseEvent = Ss2::Default_event_base,
-          template <typename, typename, typename>
+          template <typename, typename, typename, typename>
           class SurfaceSweepBaseCurve = Ss2::Default_subcurve>
 class Arr_construction_event :
   public Arr_construction_event_base<
diff --git a/Arrangement_on_surface_2/include/CGAL/Surface_sweep_2/Arr_construction_subcurve.h b/Arrangement_on_surface_2/include/CGAL/Surface_sweep_2/Arr_construction_subcurve.h
index cc270bf9ebe..4c9838d94d2 100644
--- a/Arrangement_on_surface_2/include/CGAL/Surface_sweep_2/Arr_construction_subcurve.h
+++ b/Arrangement_on_surface_2/include/CGAL/Surface_sweep_2/Arr_construction_subcurve.h
@@ -31,12 +31,12 @@
  * instance types of Subcurve and Event must be available when the
  * surface-sweep template is instantiated.
  *
- * Arr_construction_subcurve derives from an instance of the
- * Surface_sweep_subcurve class template. The user is allowed to introduce new
- * types that derive from an instance of the Arr_construction_subcurve class
- * template. However, some of the fields of this template depends on the
- * Subcurve type.  We use the curiously recurring template pattern (CRTP) idiom
- * to force the correct matching of these types.
+ * Arr_construction_subcurve derives from an instance of the Default_subcurve
+ * class template. The user is allowed to introduce new types that derive from
+ * an instance of the Arr_construction_subcurve class template. However, some of
+ * the fields of this template depends on the Subcurve type.  We use the
+ * curiously recurring template pattern (CRTP) idiom to force the correct
+ * matching of these types.
  */
 
 #include <CGAL/Surface_sweep_2/Default_subcurve.h>
@@ -51,28 +51,35 @@ namespace Ss2 = Surface_sweep_2;
  * This is the base class of the Arr_construction_subcurve class template used
  * by the (CRTP) idiom.
  * \tparam GeometryTraits_2 the geometry traits.
- * \tparam
- * Subcurve_ the subcurve actual type.
+ * \tparam Event_ the event type.
+ * \tparam Allocator_ a type of an element that is used to acquire/release
+ *                    memory for elements of the event queue and the status
+ *                    structure, and to construct/destroy the elements in that
+ *                    memory. The type must meet the requirements of Allocator.
+ * \tparam Subcurve_ the subcurve actual type.
  *
  * The information contained in this class last:
  * - ishe  event that was handled on the curve.
  * - The index for a subcurve that may represent a hole
  * - Indices of all halfedge below the curve that may represent a hole.
  */
-template <typename GeometryTraits_2, typename Event_,
-          template <typename, typename, typename> class SurfaceSweepBaseCurve,
+template <typename GeometryTraits_2, typename Event_, typename Allocator_,
+          template <typename, typename, typename, typename>
+          class SurfaceSweepBaseCurve,
           typename Subcurve_>
 class Arr_construction_subcurve_base :
-  public SurfaceSweepBaseCurve<GeometryTraits_2, Event_, Subcurve_>
+    public SurfaceSweepBaseCurve<GeometryTraits_2, Event_, Allocator_, Subcurve_>
 {
 public:
   typedef GeometryTraits_2                              Geometry_traits_2;
   typedef Subcurve_                                     Subcurve;
   typedef Event_                                        Event;
+  typedef Allocator_                                    Allocator;
 
 private:
   typedef Geometry_traits_2                             Gt2;
-  typedef SurfaceSweepBaseCurve<Gt2, Event, Subcurve>   Base;
+  typedef SurfaceSweepBaseCurve<Gt2, Event, Allocator, Subcurve>
+                                                        Base;
 
 public:
   typedef typename Gt2::X_monotone_curve_2              X_monotone_curve_2;
@@ -164,12 +171,12 @@ public:
  */
 template <typename GeometryTraits_2, typename Event_,
           typename Allocator_ = CGAL_ALLOCATOR(int),
-          template <typename, typename, typename>
+          template <typename, typename, typename, typename>
           class SurfaceSweepBaseCurve = Ss2::Default_subcurve,
           typename Subcurve_ = Default>
 class Arr_construction_subcurve :
   public Arr_construction_subcurve_base<
-    GeometryTraits_2, Event_,
+    GeometryTraits_2, Event_, Allocator_,
     SurfaceSweepBaseCurve,
     typename Default::Get<Subcurve_,
                           Arr_construction_subcurve<GeometryTraits_2, Event_,
@@ -188,8 +195,9 @@ private:
                                     SurfaceSweepBaseCurve, Subcurve_>
                                                         Self;
   typedef typename Default::Get<Subcurve_, Self>::type  Subcurve;
-  typedef Arr_construction_subcurve_base<Gt2, Event, SurfaceSweepBaseCurve,
-                                         Subcurve>      Base;
+  typedef Arr_construction_subcurve_base<Gt2, Event, Allocator,
+                                         SurfaceSweepBaseCurve, Subcurve>
+                                                        Base;
 
 public:
   typedef typename Gt2::X_monotone_curve_2              X_monotone_curve_2;
diff --git a/Arrangement_on_surface_2/include/CGAL/Surface_sweep_2/Arr_overlay_subcurve.h b/Arrangement_on_surface_2/include/CGAL/Surface_sweep_2/Arr_overlay_subcurve.h
index b99c6d289c9..ef320db57d9 100644
--- a/Arrangement_on_surface_2/include/CGAL/Surface_sweep_2/Arr_overlay_subcurve.h
+++ b/Arrangement_on_surface_2/include/CGAL/Surface_sweep_2/Arr_overlay_subcurve.h
@@ -41,8 +41,7 @@ namespace Ss2 = Surface_sweep_2;
  * in the proper place in the resulting arrangement.
  *
  * \tparam GeometryTraits_2 the geometry traits.
- * \tparam Arrangement_ the type of the arrangement that is the resulting
- *                      arrangement the overlay process.
+ * \tparam Event_ the event type.
  * \tparam Allocator_ a type of an element that is used to acquire/release
  *                    memory for elements of the event queue and the status
  *                    structure, and to construct/destroy the elements in that
diff --git a/Surface_sweep_2/include/CGAL/No_intersection_surface_sweep_2.h b/Surface_sweep_2/include/CGAL/No_intersection_surface_sweep_2.h
index 39ebaf1fb0d..d67b8dcb029 100644
--- a/Surface_sweep_2/include/CGAL/No_intersection_surface_sweep_2.h
+++ b/Surface_sweep_2/include/CGAL/No_intersection_surface_sweep_2.h
@@ -31,8 +31,6 @@
 #include <CGAL/memory.h>
 #include <CGAL/Surface_sweep_2/Event_comparer.h>
 #include <CGAL/Surface_sweep_2/Curve_comparer.h>
-#include <CGAL/Surface_sweep_2/No_overlap_event.h>
-#include <CGAL/Surface_sweep_2/No_overlap_subcurve.h>
 #include <CGAL/Multiset.h>
 #include <CGAL/Arrangement_2/Arr_traits_adaptor_2.h>
 #include <CGAL/Arr_tags.h>
diff --git a/Surface_sweep_2/include/CGAL/Surface_sweep_2.h b/Surface_sweep_2/include/CGAL/Surface_sweep_2.h
index 86f1306af64..dff494f2199 100644
--- a/Surface_sweep_2/include/CGAL/Surface_sweep_2.h
+++ b/Surface_sweep_2/include/CGAL/Surface_sweep_2.h
@@ -31,8 +31,6 @@
 #include <CGAL/Object.h>
 #include <CGAL/No_intersection_surface_sweep_2.h>
 #include <CGAL/Surface_sweep_2/Curve_pair.h>
-#include <CGAL/Surface_sweep_2/Default_subcurve.h>
-#include <CGAL/Surface_sweep_2/Default_event.h>
 #include <CGAL/Arrangement_2/Open_hash.h>
 
 namespace CGAL {
diff --git a/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_event.h b/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_event.h
index a76d087c521..a65a9ed5e6a 100644
--- a/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_event.h
+++ b/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_event.h
@@ -62,7 +62,8 @@ class Default_event :
   public Default_event_base<GeometryTraits_2,
                             Default_subcurve<GeometryTraits_2,
                                              Default_event<GeometryTraits_2,
-                                                           Allocator_> > >
+                                                           Allocator_>,
+                                             Allocator_> >
 {
 public:
   /*! Construct default. */
diff --git a/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_event_base.h b/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_event_base.h
index ca82b49bbe5..33ed37a164a 100644
--- a/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_event_base.h
+++ b/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_event_base.h
@@ -50,7 +50,7 @@ namespace Surface_sweep_2 {
  */
 template <typename GeometryTraits_2, typename Subcurve_>
 class Default_event_base :
-    public No_overlap_event_base<GeometryTraits_2, Subcurve_>
+  public No_overlap_event_base<GeometryTraits_2, Subcurve_>
 {
 public:
   typedef GeometryTraits_2                              Geometry_traits_2;
diff --git a/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_subcurve.h b/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_subcurve.h
index bb7c17dd623..93a31cd61bb 100644
--- a/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_subcurve.h
+++ b/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_subcurve.h
@@ -53,15 +53,21 @@ namespace Surface_sweep_2 {
  * This is the base class of the Default_subcurve class template used by
  * the (CRTP) idiom.
  * \tparam GeometryTraits_2 the geometry traits.
+ * \tparam Event_ the event type.
+ * \tparam Allocator_ a type of an element that is used to acquire/release
+ *                    memory for elements of the event queue and the status
+ *                    structure, and to construct/destroy the elements in that
+ *                    memory. The type must meet the requirements of Allocator.
  * \tparam Subcurve_ the subcurve actual type.
  *
  * The information contained in this class is:
  * - two pointers to subcurves that are the originating subcurves in case of
  *   an overlap, otherwise thay are both NULL.
  */
-template <typename GeometryTraits_2, typename Event_, typename Subcurve_>
+template <typename GeometryTraits_2, typename Event_, typename Allocator_,
+          typename Subcurve_>
 class Default_subcurve_base :
-  public No_overlap_subcurve<GeometryTraits_2, Event_, Subcurve_>
+  public No_overlap_subcurve<GeometryTraits_2, Event_, Allocator_, Subcurve_>
 {
 public:
   typedef GeometryTraits_2                              Geometry_traits_2;
@@ -220,29 +226,40 @@ public:
  * X_monotone_curve_2.  It contains data that is used when applying the sweep
  * algorithm on a set of x-monotone curves. This class derives from the
  * No_overlap_subcurve class template.
+ *
  * \tparam GeometryTraits_2 the geometry traits.
+ * \tparam Event_ the event type.
+ * \tparam Allocator_ a type of an element that is used to acquire/release
+ *                    memory for elements of the event queue and the status
+ *                    structure, and to construct/destroy the elements in that
+ *                    memory. The type must meet the requirements of Allocator.
  * \tparam Subcurve_ the type of the subcurve or Default. If the default is not
  *         overriden it implies that the type is
  *         No_overlap_subcurve
  */
 template <typename GeometryTraits_2, typename Event_,
+          typename Allocator_ = CGAL_ALLOCATOR(int),
           typename Subcurve_ = Default>
 class Default_subcurve :
-  public Default_subcurve_base<GeometryTraits_2, Event_,
+  public Default_subcurve_base<GeometryTraits_2, Event_, Allocator_,
                                typename Default::Get<Subcurve_,
                                                      Default_subcurve<
                                                        GeometryTraits_2, Event_,
+                                                       Allocator_,
                                                        Subcurve_> >::type>
 {
 public:
   typedef GeometryTraits_2                              Geometry_traits_2;
   typedef Event_                                        Event;
+  typedef Allocator_                                    Allocator;
 
 private:
   typedef Geometry_traits_2                             Gt2;
-  typedef Default_subcurve<Gt2, Event, Subcurve_>       Self;
+  typedef Default_subcurve<Gt2, Event, Allocator, Subcurve_>
+                                                        Self;
   typedef typename Default::Get<Subcurve_, Self>::type  Subcurve;
-  typedef Default_subcurve_base<Gt2, Event, Subcurve>   Base;
+  typedef Default_subcurve_base<Gt2, Event, Allocator, Subcurve>
+                                                        Base;
 
 public:
   typedef typename Gt2::X_monotone_curve_2              X_monotone_curve_2;
@@ -266,8 +283,8 @@ public:
 };
 
 #ifdef CGAL_SL_VERBOSE
-template <typename GeometryTraits_2>
-void Default_subcurve<GeometryTraits_2>::Print() const
+template <typename Gt2, typename Evt, typename Allocator, typename Scv>
+void Default_subcurve<Gt2, Evt, Allocator, Scv>::Print() const
 {
   std::cout << "Curve " << this
             << "  (" << this->last_curve() << ") "
diff --git a/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_visitor.h b/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_visitor.h
index ab3a968def0..9b50d932401 100644
--- a/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_visitor.h
+++ b/Surface_sweep_2/include/CGAL/Surface_sweep_2/Default_visitor.h
@@ -41,8 +41,9 @@ namespace Surface_sweep_2 {
 template <typename Visitor_,
           typename GeometryTraits_2,
           typename Allocator_ = CGAL_ALLOCATOR(int),
-          typename Event_ = Default_event<GeometryTraits_2>,
-          typename Subcurve_ = Default_subcurve<GeometryTraits_2, Event_> >
+          typename Event_ = Default_event<GeometryTraits_2, Allocator_>,
+          typename Subcurve_ = Default_subcurve<GeometryTraits_2, Event_,
+                                                Allocator_> >
 class Default_visitor : public Default_visitor_base<GeometryTraits_2, Event_,
                                                     Subcurve_, Allocator_,
                                                     Visitor_>
diff --git a/Surface_sweep_2/include/CGAL/Surface_sweep_2/No_overlap_event.h b/Surface_sweep_2/include/CGAL/Surface_sweep_2/No_overlap_event.h
index a68ff08673d..793356867ad 100644
--- a/Surface_sweep_2/include/CGAL/Surface_sweep_2/No_overlap_event.h
+++ b/Surface_sweep_2/include/CGAL/Surface_sweep_2/No_overlap_event.h
@@ -64,7 +64,8 @@ class No_overlap_event :
                                No_overlap_subcurve<GeometryTraits_2,
                                                    No_overlap_event<
                                                      GeometryTraits_2,
-                                                     Allocator_> > >
+                                                     Allocator_>,
+                                                   Allocator_> >
 {
 public:
   /*! Construct default. */
diff --git a/Surface_sweep_2/include/CGAL/Surface_sweep_2/No_overlap_subcurve.h b/Surface_sweep_2/include/CGAL/Surface_sweep_2/No_overlap_subcurve.h
index 41556e2ec4c..3c2e0c89f98 100644
--- a/Surface_sweep_2/include/CGAL/Surface_sweep_2/No_overlap_subcurve.h
+++ b/Surface_sweep_2/include/CGAL/Surface_sweep_2/No_overlap_subcurve.h
@@ -60,13 +60,14 @@ namespace Surface_sweep_2 {
  *   curve.
  * - an iterator that points to the location of the subcurve in the status line.
  */
-template <typename GeometryTraits_2, typename Event_, typename Subcurve_>
+template <typename GeometryTraits_2, typename Event_, typename Allocator_,
+          typename Subcurve_>
 class No_overlap_subcurve_base {
 public:
   typedef GeometryTraits_2                              Geometry_traits_2;
   typedef Subcurve_                                     Subcurve;
   typedef Event_                                        Event;
-  typedef CGAL_ALLOCATOR(int)                           Allocator;
+  typedef Allocator_                                    Allocator;
 
 private:
   typedef Geometry_traits_2                             Gt2;
@@ -123,28 +124,35 @@ public:
  * - the remaining x-monotone curve that is to the right of the current sweep
  *   line.
  * \tparam GeometryTraits_2 the geometry traits.
+ * \tparam Event_ the event type.
+ * \tparam Allocator_ a type of an element that is used to acquire/release
+ *                    memory for elements of the event queue and the status
+ *                    structure, and to construct/destroy the elements in that
+ *                    memory. The type must meet the requirements of Allocator.
  * \tparam Subcurve_ the type of the subcurve or Default. If the default is not
- *         overriden it implies that the type is
- *         No_overlap_subcurve.
+ *                   overriden it implies that the type is No_overlap_subcurve.
  */
 template <typename GeometryTraits_2, typename Event_,
+          typename Allocator_ = CGAL_ALLOCATOR(int),
           typename Subcurve_ = Default>
 class No_overlap_subcurve :
   public No_overlap_subcurve_base<
-    GeometryTraits_2, Event_,
+    GeometryTraits_2, Event_, Allocator_,
     typename Default::Get<Subcurve_,
                           No_overlap_subcurve<GeometryTraits_2, Event_,
-                                              Subcurve_> >::type>
+                                              Allocator_, Subcurve_> >::type>
 {
 public:
   typedef GeometryTraits_2                              Geometry_traits_2;
   typedef Event_                                        Event;
+  typedef Allocator_                                    Allocator;
 
 private:
   typedef Geometry_traits_2                             Gt2;
-  typedef No_overlap_subcurve<Gt2, Event, Subcurve_>    Self;
+  typedef No_overlap_subcurve<Gt2, Event, Allocator, Subcurve_>
+                                                        Self;
   typedef typename Default::Get<Subcurve_, Self>::type  Subcurve;
-  typedef No_overlap_subcurve_base<Gt2, Event, Subcurve>
+  typedef No_overlap_subcurve_base<Gt2, Event, Allocator, Subcurve>
                                                         Base;
 
 public:
@@ -191,11 +199,9 @@ public:
 };
 
 #ifdef CGAL_SL_VERBOSE
-template <typename Traits>
+template <typename Gt2, typename Evt, typename Allocator, typename Scv>
 void No_overlap_subcurve<Traits>::Print() const
-{
-  std::cout << "Curve " << this << "  (" << last_curve() << ") ";
-}
+{ std::cout << "Curve " << this << "  (" << last_curve() << ") "; }
 #endif
 
 } // namespace Surface_sweep_2