Variant of patch #1478292.  doctest.register_optionflag(name)
shouldn't create a new flag when `name` is already the name of
an option flag.
diff --git a/Lib/doctest.py b/Lib/doctest.py
index 900d871..318b21d 100644
--- a/Lib/doctest.py
+++ b/Lib/doctest.py
@@ -129,9 +129,8 @@
 
 OPTIONFLAGS_BY_NAME = {}
 def register_optionflag(name):
-    flag = 1 << len(OPTIONFLAGS_BY_NAME)
-    OPTIONFLAGS_BY_NAME[name] = flag
-    return flag
+    # Create a new flag unless `name` is already known.
+    return OPTIONFLAGS_BY_NAME.setdefault(name, 1 << len(OPTIONFLAGS_BY_NAME))
 
 DONT_ACCEPT_TRUE_FOR_1 = register_optionflag('DONT_ACCEPT_TRUE_FOR_1')
 DONT_ACCEPT_BLANKLINE = register_optionflag('DONT_ACCEPT_BLANKLINE')
diff --git a/Lib/test/test_doctest.py b/Lib/test/test_doctest.py
index d39aa42..443c962 100644
--- a/Lib/test/test_doctest.py
+++ b/Lib/test/test_doctest.py
@@ -1300,6 +1300,26 @@
         ValueError: 2
     (3, 5)
 
+New option flags can also be registered, via register_optionflag().  Here
+we reach into doctest's internals a bit.
+
+    >>> unlikely = "UNLIKELY_OPTION_NAME"
+    >>> unlikely in doctest.OPTIONFLAGS_BY_NAME
+    False
+    >>> new_flag_value = doctest.register_optionflag(unlikely)
+    >>> unlikely in doctest.OPTIONFLAGS_BY_NAME
+    True
+
+Before 2.4.4/2.5, registering a name more than once erroneously created
+more than one flag value.  Here we verify that's fixed:
+
+    >>> redundant_flag_value = doctest.register_optionflag(unlikely)
+    >>> redundant_flag_value == new_flag_value
+    True
+
+Clean up.
+    >>> del doctest.OPTIONFLAGS_BY_NAME[unlikely]
+
     """
 
     def option_directives(): r"""