Index: boost/math/special_functions/atanh.hpp
===================================================================
--- boost/math/special_functions/atanh.hpp	(revision 80676)
+++ boost/math/special_functions/atanh.hpp	(working copy)
@@ -61,17 +61,17 @@
                // -Infinity:
                return -policies::raise_overflow_error<T>(function, 0, pol);
             }
-            else if(x > 1 - tools::epsilon<T>())
-            {
-               // Infinity:
-               return policies::raise_overflow_error<T>(function, 0, pol);
-            }
             else if(x > 1)
             {
                return policies::raise_domain_error<T>(
                   function,
                   "atanh requires x <= 1, but got x = %1%.", x, pol);
             }
+            else if(x > 1 - tools::epsilon<T>())
+            {
+               // Infinity:
+               return policies::raise_overflow_error<T>(function, 0, pol);
+            }
             else if(abs(x) >= tools::forth_root_epsilon<T>())
             {
                 // http://functions.wolfram.com/ElementaryFunctions/ArcTanh/02/