diff --git a/Lib/sqlite3/test/hooks.py b/Lib/sqlite3/test/hooks.py
index 0ec3b43..9544149 100644
--- a/Lib/sqlite3/test/hooks.py
+++ b/Lib/sqlite3/test/hooks.py
@@ -76,6 +76,25 @@
         except sqlite.OperationalError as e:
             self.assertEqual(e.args[0].lower(), "no such collation sequence: mycoll")
 
+    def CheckCollationReturnsLargeInteger(self):
+        def mycoll(x, y):
+            # reverse order
+            return -((x > y) - (x < y)) * 2**32
+        con = sqlite.connect(":memory:")
+        con.create_collation("mycoll", mycoll)
+        sql = """
+            select x from (
+            select 'a' as x
+            union
+            select 'b' as x
+            union
+            select 'c' as x
+            ) order by x collate mycoll
+            """
+        result = con.execute(sql).fetchall()
+        self.assertEqual(result, [('c',), ('b',), ('a',)],
+                         msg="the expected order was not returned")
+
     def CheckCollationRegisterTwice(self):
         """
         Register two different collation functions under the same name.
diff --git a/Lib/sqlite3/test/userfunctions.py b/Lib/sqlite3/test/userfunctions.py
index e01341e..9a6a828 100644
--- a/Lib/sqlite3/test/userfunctions.py
+++ b/Lib/sqlite3/test/userfunctions.py
@@ -375,14 +375,15 @@
         val = cur.fetchone()[0]
         self.assertEqual(val, 60)
 
-def authorizer_cb(action, arg1, arg2, dbname, source):
-    if action != sqlite.SQLITE_SELECT:
-        return sqlite.SQLITE_DENY
-    if arg2 == 'c2' or arg1 == 't2':
-        return sqlite.SQLITE_DENY
-    return sqlite.SQLITE_OK
-
 class AuthorizerTests(unittest.TestCase):
+    @staticmethod
+    def authorizer_cb(action, arg1, arg2, dbname, source):
+        if action != sqlite.SQLITE_SELECT:
+            return sqlite.SQLITE_DENY
+        if arg2 == 'c2' or arg1 == 't2':
+            return sqlite.SQLITE_DENY
+        return sqlite.SQLITE_OK
+
     def setUp(self):
         self.con = sqlite.connect(":memory:")
         self.con.executescript("""
@@ -395,12 +396,12 @@
         # For our security test:
         self.con.execute("select c2 from t2")
 
-        self.con.set_authorizer(authorizer_cb)
+        self.con.set_authorizer(self.authorizer_cb)
 
     def tearDown(self):
         pass
 
-    def CheckTableAccess(self):
+    def test_table_access(self):
         try:
             self.con.execute("select * from t2")
         except sqlite.DatabaseError as e:
@@ -409,7 +410,7 @@
             return
         self.fail("should have raised an exception due to missing privileges")
 
-    def CheckColumnAccess(self):
+    def test_column_access(self):
         try:
             self.con.execute("select c2 from t1")
         except sqlite.DatabaseError as e:
@@ -418,11 +419,46 @@
             return
         self.fail("should have raised an exception due to missing privileges")
 
+class AuthorizerRaiseExceptionTests(AuthorizerTests):
+    @staticmethod
+    def authorizer_cb(action, arg1, arg2, dbname, source):
+        if action != sqlite.SQLITE_SELECT:
+            raise ValueError
+        if arg2 == 'c2' or arg1 == 't2':
+            raise ValueError
+        return sqlite.SQLITE_OK
+
+class AuthorizerIllegalTypeTests(AuthorizerTests):
+    @staticmethod
+    def authorizer_cb(action, arg1, arg2, dbname, source):
+        if action != sqlite.SQLITE_SELECT:
+            return 0.0
+        if arg2 == 'c2' or arg1 == 't2':
+            return 0.0
+        return sqlite.SQLITE_OK
+
+class AuthorizerLargeIntegerTests(AuthorizerTests):
+    @staticmethod
+    def authorizer_cb(action, arg1, arg2, dbname, source):
+        if action != sqlite.SQLITE_SELECT:
+            return 2**32
+        if arg2 == 'c2' or arg1 == 't2':
+            return 2**32
+        return sqlite.SQLITE_OK
+
+
 def suite():
     function_suite = unittest.makeSuite(FunctionTests, "Check")
     aggregate_suite = unittest.makeSuite(AggregateTests, "Check")
-    authorizer_suite = unittest.makeSuite(AuthorizerTests, "Check")
-    return unittest.TestSuite((function_suite, aggregate_suite, authorizer_suite))
+    authorizer_suite = unittest.makeSuite(AuthorizerTests)
+    return unittest.TestSuite((
+            function_suite,
+            aggregate_suite,
+            authorizer_suite,
+            unittest.makeSuite(AuthorizerRaiseExceptionTests),
+            unittest.makeSuite(AuthorizerIllegalTypeTests),
+            unittest.makeSuite(AuthorizerLargeIntegerTests),
+        ))
 
 def test():
     runner = unittest.TextTestRunner()