diff --git a/Spatial_sorting/examples/Spatial_sorting/hilbert_sort_on_sphere.cpp b/Spatial_sorting/examples/Spatial_sorting/hilbert_sort_on_sphere.cpp
index 79b5f6e429b..36d7651a91a 100644
--- a/Spatial_sorting/examples/Spatial_sorting/hilbert_sort_on_sphere.cpp
+++ b/Spatial_sorting/examples/Spatial_sorting/hilbert_sort_on_sphere.cpp
@@ -22,7 +22,7 @@ int main ()
   v.reserve(size);
                                                                     
   CGAL::Random_points_on_sphere_3<Point> unit_sphere(1.0, random);  // generate points
-  for (int i = 0; i < size; ++i) v.push_back(*unit_sphere++);
+  for (std::size_t i = 0; i < size; ++i) v.push_back(*unit_sphere++);
 
   CGAL::hilbert_sort_on_sphere(v.begin(), v.end());                 // sort
 
@@ -38,7 +38,7 @@ int main ()
   Vector trans = Vector(3,4,5);
   Sphere sphere = Sphere(CGAL::ORIGIN + trans, 4);
   CGAL::Random_points_on_sphere_3<Point> given_sphere(2.0, random);  // generate points
-  for (int i = 0; i < size; ++i) v.push_back(*given_sphere++ + trans);
+  for (std::size_t i = 0; i < size; ++i) v.push_back(*given_sphere++ + trans);
 
   CGAL::hilbert_sort_on_sphere(v.begin(), v.end(),                   // sort
     sphere.squared_radius(), sphere.center());  
diff --git a/Spatial_sorting/examples/Spatial_sorting/spatial_sort_on_sphere.cpp b/Spatial_sorting/examples/Spatial_sorting/spatial_sort_on_sphere.cpp
index 04efd7190b1..8f62f35672c 100644
--- a/Spatial_sorting/examples/Spatial_sorting/spatial_sort_on_sphere.cpp
+++ b/Spatial_sorting/examples/Spatial_sorting/spatial_sort_on_sphere.cpp
@@ -22,7 +22,7 @@ int main ()
   v.reserve(size);
                                                                     
   CGAL::Random_points_on_sphere_3<Point> unit_sphere(1.0, random);  // generate points
-  for (int i = 0; i < size; ++i) v.push_back(*unit_sphere++);
+  for (std::size_t i = 0; i < size; ++i) v.push_back(*unit_sphere++);
 
   CGAL::spatial_sort_on_sphere(v.begin(), v.end());                 // sort
 
@@ -38,7 +38,7 @@ int main ()
   Vector trans = Vector(3,4,5);
   Sphere sphere = Sphere(CGAL::ORIGIN + trans, 4);
   CGAL::Random_points_on_sphere_3<Point> given_sphere(2.0, random);  // generate points
-  for (int i = 0; i < size; ++i) v.push_back(*given_sphere++ + trans);
+  for (std::size_t i = 0; i < size; ++i) v.push_back(*given_sphere++ + trans);
 
   CGAL::spatial_sort_on_sphere(v.begin(), v.end(),                   // sort
     sphere.squared_radius(), sphere.center());
diff --git a/Spatial_sorting/include/CGAL/Hilbert_sort_on_sphere_3.h b/Spatial_sorting/include/CGAL/Hilbert_sort_on_sphere_3.h
index 662121911fb..98023865fe4 100644
--- a/Spatial_sorting/include/CGAL/Hilbert_sort_on_sphere_3.h
+++ b/Spatial_sorting/include/CGAL/Hilbert_sort_on_sphere_3.h
@@ -63,13 +63,14 @@ public:
 	                          double sq_r = 1.0,
 							  const Point_3 &p = Point_3(0,0,0),
 							  std::ptrdiff_t limit=1)
-	: _k(k), _p(p), _sq_r(sq_r),
-	  _hs_1_object(Face_1_traits_3(),limit), 
+	: _hs_1_object(Face_1_traits_3(),limit),
 	  _hs_2_object(Face_2_traits_3(),limit),
 	  _hs_3_object(Face_3_traits_3(),limit),
 	  _hs_4_object(Face_4_traits_3(),limit),
 	  _hs_5_object(Face_5_traits_3(),limit),
-	  _hs_6_object(Face_6_traits_3(),limit) {
+	  _hs_6_object(Face_6_traits_3(),limit),
+          _k(k), _p(p), _sq_r(sq_r)
+        {
 		CGAL_precondition( sq_r > 0 );
 	}
 	
diff --git a/Spatial_sorting/include/CGAL/internal/Transform_coordinates_traits_3.h b/Spatial_sorting/include/CGAL/internal/Transform_coordinates_traits_3.h
index ab37937e5c6..896413b9fac 100644
--- a/Spatial_sorting/include/CGAL/internal/Transform_coordinates_traits_3.h
+++ b/Spatial_sorting/include/CGAL/internal/Transform_coordinates_traits_3.h
@@ -247,18 +247,18 @@ struct Transform_coordinates_traits_3 {
 		typedef Transform_coordinates_traits_3<R,x,y,z,ord>  	  		Traits;
 		typedef R                                               		Rp;
 		typedef typename Rp::Point_3                            		Point_2;
-		typedef Less_x_2<R,opt>        									Less_x_2;
-		typedef Less_y_2<R,opt>       									Less_y_2;
-		typedef Compute_x_2<R,opt>     									Compute_x_2;
-		typedef Compute_y_2<R,opt>     									Compute_y_2;
+		typedef Less_x_2<R,opt>        									Less_x;
+		typedef Less_y_2<R,opt>       									Less_y;
+		typedef Compute_x_2<R,opt>     									Compute_x;
+		typedef Compute_y_2<R,opt>     									Compute_y;
 		
 		Transform_coordinates_traits_3(){}
 		Transform_coordinates_traits_3(const Transform_coordinates_traits_3&){}
 				
-		Less_x_2 less_x_2_object() const { return Less_x_2(); }
-		Less_y_2 less_y_2_object() const { return Less_y_2(); }
-		Compute_x_2 compute_x_2_object() const { return Compute_x_2(); }
-		Compute_y_2 compute_y_2_object() const { return Compute_y_2(); }
+		Less_x less_x_2_object() const { return Less_x(); }
+		Less_y less_y_2_object() const { return Less_y(); }
+		Compute_x compute_x_2_object() const { return Compute_x(); }
+		Compute_y compute_y_2_object() const { return Compute_y(); }
 };