diff --git a/Kernel_23/test/Kernel_23/Filtered_cartesian.cpp b/Kernel_23/test/Kernel_23/Filtered_cartesian.cpp
index 841aeb1fcd3..19d96c02f2b 100644
--- a/Kernel_23/test/Kernel_23/Filtered_cartesian.cpp
+++ b/Kernel_23/test/Kernel_23/Filtered_cartesian.cpp
@@ -27,6 +27,7 @@
 #include <CGAL/MP_Float.h>
 
 #include <CGAL/Exact_predicates_exact_constructions_kernel.h>
+#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 
 #include <cassert>
 
@@ -52,9 +53,12 @@
  
 #include "CGAL/_test_mf_plane_3_to_2d.h"
 
+template <typename Cls>
+void test();
 int
 main()
 {
+  CGAL::force_ieee_double_precision();
   typedef CGAL::Cartesian<double>                               Clsdb;
   typedef CGAL::Filtered_kernel<Clsdb>                          Clsd;
 
@@ -71,6 +75,13 @@ main()
   std::cout << "Testing IO with F_k<Cartesian<double>>:" << std::endl;
   _test_io( Clsd() );
 
+  std::cout << "Testing with Epick:\n";
+  test<Cls>();
+  return 0;
+}
+
+template <typename Cls>
+void test() {
   std::cout << "Testing 2d :";
   std::cout << std::endl;
   _test_2( Cls() );
@@ -101,6 +112,4 @@ main()
   std::cout << "Testing 3d-2d :";
   std::cout << std::endl;
   _test_mf_plane_3_to_2d( Cls() );
-  
-  return 0;
 }
diff --git a/Kernel_23/test/Kernel_23/include/CGAL/_approx_equal.h b/Kernel_23/test/Kernel_23/include/CGAL/_approx_equal.h
new file mode 100644
index 00000000000..361d0800554
--- /dev/null
+++ b/Kernel_23/test/Kernel_23/include/CGAL/_approx_equal.h
@@ -0,0 +1,44 @@
+#ifndef CGAL_TESTSUITE_APPROX_EQUAL_H
+#define CGAL_TESTSUITE_APPROX_EQUAL_H
+#include <boost/math/special_functions/next.hpp>
+
+namespace CGAL {
+namespace testsuite {
+
+template <typename FT>
+bool approx_equal(FT a, FT b) { return a == b; }
+
+bool approx_equal(double a, double b) {
+  return std::abs(boost::math::float_distance(a, b)) <= 1;
+}
+
+struct Xyz_tag {};
+struct Xy_tag {};
+
+template <typename Object>
+bool approx_equal(Object a, Object b, CGAL::testsuite::Xyz_tag)
+{
+  return approx_equal(a.x(), b.x()) &&
+    approx_equal(a.y(), b.y()) &&
+    approx_equal(a.z(), b.z());
+}
+
+template <typename Object>
+bool approx_equal(Object a, Object b, CGAL::testsuite::Xy_tag)
+{
+  return approx_equal(a.x(), b.x()) && approx_equal(a.y(), b.y());
+}
+
+struct Direction_2_tag {};
+template <typename Object>
+bool approx_equal(Object a, Object b, CGAL::testsuite::Direction_2_tag)
+{
+  return CGAL_NTS sign(a.dx()) == CGAL_NTS sign(a.dx())
+    && CGAL_NTS sign(a.dy()) == CGAL_NTS sign(b.dy())
+    && approx_equal(a.dx() * b.dy(), a.dy() * b.dx());
+}
+
+} // end namespace testsuite
+} // end namespace CGAL
+
+#endif // CGAL_TESTSUITE_APPROX_EQUAL_H
diff --git a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_weighted_point_2.h b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_weighted_point_2.h
index dbe58ed1121..a0ffb40e8be 100644
--- a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_weighted_point_2.h
+++ b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_weighted_point_2.h
@@ -31,6 +31,8 @@
 #include <cassert>
 #include <iostream>
 
+#include "_approx_equal.h"
+
 template <class R>
 bool
 _test_fct_weighted_point_2(const R& )
@@ -158,8 +160,9 @@ _test_fct_weighted_point_2(const R& )
 
   std::cout << CGAL::weighted_circumcenter(wp_00, wp_10, wp_01) << std::endl;
 
-  assert( CGAL::squared_radius_smallest_orthogonal_circle(wp1, wp3, wp5)
-            == CGAL::squared_radius(p1, p3, p5));
+  using CGAL::testsuite::approx_equal;
+  assert( approx_equal(CGAL::squared_radius_smallest_orthogonal_circle(wp1, wp3, wp5),
+                       CGAL::squared_radius(p1, p3, p5)) );
   assert( CGAL::squared_radius_smallest_orthogonal_circle(wp_00, wp_10, wp_01) == RT(0));
 
   std::cout << "done" << std::endl;
diff --git a/Kernel_23/test/Kernel_23/include/CGAL/_test_further_fct_point_2.h b/Kernel_23/test/Kernel_23/include/CGAL/_test_further_fct_point_2.h
index f17c9028deb..cf498947577 100644
--- a/Kernel_23/test/Kernel_23/include/CGAL/_test_further_fct_point_2.h
+++ b/Kernel_23/test/Kernel_23/include/CGAL/_test_further_fct_point_2.h
@@ -24,6 +24,8 @@
 #ifndef CGAL__TEST_FURTHER_FCT_POINT_2_H
 #define CGAL__TEST_FURTHER_FCT_POINT_2_H
 
+#include "_approx_equal.h"
+
 template <class R>
 bool
 _test_further_fct_point_2(const R& )
@@ -95,8 +97,10 @@ _test_further_fct_point_2(const R& )
  p4 = p0.transform(rotate4);
  p5 = p0.transform(rotate5);
 
+ using CGAL::testsuite::approx_equal;
+ using CGAL::testsuite::Direction_2_tag;
 
- assert( (p5 - CGAL::ORIGIN).direction() == dir5 );
+ assert( approx_equal((p5 - CGAL::ORIGIN).direction(), dir5, Direction_2_tag()) );
 
  assert( CGAL::side_of_bounded_circle(p1, p2, p3, CGAL::Point_2<R>(CGAL::ORIGIN))\
                                       == CGAL::ON_BOUNDED_SIDE );