diff --git a/Circular_kernel_3/test/Circular_kernel_3/include/CGAL/_test_sphere_compute.h b/Circular_kernel_3/test/Circular_kernel_3/include/CGAL/_test_sphere_compute.h
index e5b316567f7..a8615ea74b9 100644
--- a/Circular_kernel_3/test/Circular_kernel_3/include/CGAL/_test_sphere_compute.h
+++ b/Circular_kernel_3/test/Circular_kernel_3/include/CGAL/_test_sphere_compute.h
@@ -104,9 +104,9 @@ void _test_spherical_kernel_compute(SK sk)
       const double v2 = app_ang2 - ang2;
       const double diff1 = ((v1 > 0) ? (v1) : (-v1));
       const double diff2 = ((v2 > 0) ? (v2) : (-v2));
-      // we suppose at least a precision of 10e-8, but it is not necessarily true
-      CGAL_warning(diff1 < 10e-4);
-      CGAL_warning(diff2 < 10e-4);
+      // we suppose at least a precision of 10e-4, but it is not necessarily true
+      assert(diff1 < 10e-4);
+      assert(diff2 < 10e-4);
 
       const double sql1 = ang1 * ang1;
       const double sql2 = ang2 * ang2;
@@ -118,9 +118,9 @@ void _test_spherical_kernel_compute(SK sk)
       const double diffv2 = ((vv2 > 0) ? (vv2) : (-vv2));
       std::cout << sql1 << " " << app_sql1 << std::endl;
       std::cout << sql2 << " " << app_sql2 << std::endl;
-      // we suppose at least a precision of 10e-8, but it is not necessarily true
-      CGAL_warning(diffv1 < 10e-4);
-      CGAL_warning(diffv2 < 10e-4);
+      // we suppose at least a precision of 10e-4, but it is not necessarily true
+      assert(diffv1 < 10e-4);
+      assert(diffv2 < 10e-4);
     }
   }