diff --git a/Lib/test/test_class.py b/Lib/test/test_class.py
index 92c220e..6c91deb 100644
--- a/Lib/test/test_class.py
+++ b/Lib/test/test_class.py
@@ -368,3 +368,37 @@
     pass
 else:
     print "attribute error for I.__init__ got masked"
+
+
+# Test comparison and hash of methods
+class A:
+    def __init__(self, x):
+        self.x = x
+    def f(self):
+        pass
+    def g(self):
+        pass
+    def __eq__(self, other):
+        return self.x == other.x
+    def __hash__(self):
+        return self.x
+class B(A):
+    pass
+
+a1 = A(1)
+a2 = A(2)
+assert a1.f == a1.f
+assert a1.f != a2.f
+assert a1.f != a1.g
+assert a1.f == A(1).f
+assert hash(a1.f) == hash(a1.f)
+assert hash(a1.f) == hash(A(1).f)
+
+assert A.f != a1.f
+assert A.f != A.g
+assert B.f == A.f
+assert hash(B.f) == hash(A.f)
+
+# the following triggers a SystemError in 2.4
+a = A(hash(A.f.im_func)^(-1))
+hash(a.f)
diff --git a/Lib/test/test_descr.py b/Lib/test/test_descr.py
index 32796bf..ca91042 100644
--- a/Lib/test/test_descr.py
+++ b/Lib/test/test_descr.py
@@ -4014,11 +4014,24 @@
 
     l = []
     vereq(l.__add__, l.__add__)
-    verify(l.__add__ != [].__add__)
+    vereq(l.__add__, [].__add__)
+    verify(l.__add__ != [5].__add__)
+    verify(l.__add__ != l.__mul__)
     verify(l.__add__.__name__ == '__add__')
     verify(l.__add__.__self__ is l)
     verify(l.__add__.__objclass__ is list)
     vereq(l.__add__.__doc__, list.__add__.__doc__)
+    try:
+        hash(l.__add__)
+    except TypeError:
+        pass
+    else:
+        raise TestFailed("no TypeError from hash([].__add__)")
+
+    t = ()
+    t += (7,)
+    vereq(t.__add__, (7,).__add__)
+    vereq(hash(t.__add__), hash((7,).__add__))
 
 def notimplemented():
     # all binary methods should be able to return a NotImplemented