Make comparison and subtraction of aware objects ignore tzinfo if the
operands have identical tzinfo members (meaning object identity -- "is").
I misunderstood the intent here, reading wrong conclusion into
conflicting clues.
diff --git a/Doc/lib/libdatetime.tex b/Doc/lib/libdatetime.tex
index 1adbc8e..32c0f93 100644
--- a/Doc/lib/libdatetime.tex
+++ b/Doc/lib/libdatetime.tex
@@ -863,10 +863,15 @@
 
 \begin{itemize}
   \item
-    comparison of \class{timetz} to timetz, where timetz1 is considered
-    less than timetz2 when timetz1 precedes timetz2 in time, and
-    where the \class{timetz} objects are first adjusted by subtracting
-    their UTC offsets (obtained from \method{utcoffset()}).
+    comparison of \class{timetz} to \class{time} or \class{timetz},
+    where \var{a} is considered less than \var{b} when \var{a} precedes
+    \var{b} in time.  If one comparand is naive and the other is aware,
+    \exception{TypeError} is raised.  If both comparands are aware, and
+    have the same \member{tzinfo} member, the common \member{tzinfo}
+    member is ignored and the base times are compared.  If both
+    comparands are aware and have different \member{tzinfo} members,
+    the comparands are first adjusted by subtracting their UTC offsets
+    (obtained from \code{self.utcoffset()}).
 
   \item
     hash, use as dict key
@@ -1011,11 +1016,13 @@
   \item
     datetimetz1 + timedelta -> datetimetz2
     timedelta + datetimetz1 -> datetimetz2
+
     The same as addition of \class{datetime} objects, except that
     datetimetz2.tzinfo is set to datetimetz1.tzinfo.
 
   \item
     datetimetz1 - timedelta -> datetimetz2
+
     The same as addition of \class{datetime} objects, except that
     datetimetz2.tzinfo is set to datetimetz1.tzinfo.
 
@@ -1025,32 +1032,31 @@
     \naive\_datetimetz1 - datetime2 -> timedelta
     datetime1 - \naive\_datetimetz2 -> timedelta
 
-  \item
-    Subtraction of a \class{datetime} or datetimetz, from a
+    Subtraction of a \class{datetime} or \class{datetimetz}, from a
     \class{datetime} or \class{datetimetz}, is defined only if both
-    operands are \naive, or if both are aware.  If one is aware and
-    the other is \naive, \exception{TypeError} is raised.
+    operands are \naive, or if both are aware.  If one is aware and the
+    other is \naive, \exception{TypeError} is raised.
 
-  \item
-    If both are \naive, subtraction acts as for \class{datetime}
-    subtraction.
+    If both are \naive, or both are aware and have the same \member{tzinfo}
+    member, subtraction acts as for \class{datetime} subtraction.
 
-  \item
-    If both are aware \class{datetimetz} objects, a-b acts as if a and b were
-    first converted to UTC datetimes (by subtracting \code{a.utcoffset()}
-    minutes from a, and \code{b.utcoffset()} minutes from b), and then doing
+    If both are aware and have different \member{tzinfo} members,
+    \code{a-b} acts as if \var{a} and \var{b} were first converted to UTC
+    datetimes (by subtracting \code{a.utcoffset()} minutes from \var{a},
+    and \code{b.utcoffset()} minutes from \var{b}), and then doing
     \class{datetime} subtraction, except that the implementation never
     overflows.
 
   \item
-    Comparison of \class{datetimetz} to \class{datetime} or datetimetz.  As for
-    subtraction, comparison is defined only if both operands are
-    \naive\ or both are aware.  If both are \naive, comparison is as
-    for \class{datetime} objects with the same date and time components.
-    If both are aware, comparison acts as if both were converted to
-    UTC datetimes first, except the the implementation never
-    overflows.  If one comparand is \naive\ and the other aware,
-    \exception{TypeError} is raised.
+    comparison of \class{datetimetz} to \class{datetime} or
+    \class{datetimetz}, where \var{a} is considered less than \var{b}
+    when \var{a} precedes \var{b} in time.  If one comparand is naive and
+    the other is aware, \exception{TypeError} is raised.  If both
+    comparands are aware, and have the same \member{tzinfo} member,
+    the common \member{tzinfo} member is ignored and the base datetimes
+    are compared.  If both comparands are aware and have different
+    \member{tzinfo} members, the comparands are first adjusted by
+    subtracting their UTC offsets (obtained from \code{self.utcoffset()}).
 
   \item
     hash, use as dict key
diff --git a/Lib/test/test_datetime.py b/Lib/test/test_datetime.py
index a65e41c..dc58972 100644
--- a/Lib/test/test_datetime.py
+++ b/Lib/test/test_datetime.py
@@ -1657,9 +1657,8 @@
     def test_aware_compare(self):
         cls = self.theclass
 
-        # Primarily trying to ensure that utcoffset() gets called even if
-        # the comparands have the same tzinfo member.  timetz comparison
-        # didn't used to do so, although datetimetz comparison did.
+        # Ensure that utcoffset() gets ignored if the comparands have
+        # the same tzinfo member.
         class OperandDependentOffset(tzinfo):
             def utcoffset(self, t):
                 if t.minute < 10:
@@ -1674,6 +1673,16 @@
         for x in d0, d1, d2:
             for y in d0, d1, d2:
                 got = cmp(x, y)
+                expected = cmp(x.minute, y.minute)
+                self.assertEqual(got, expected)
+
+        # However, if they're different members, uctoffset is not ignored.
+        d0 = base.replace(minute=3, tzinfo=OperandDependentOffset())
+        d1 = base.replace(minute=9, tzinfo=OperandDependentOffset())
+        d2 = base.replace(minute=11, tzinfo=OperandDependentOffset())
+        for x in d0, d1, d2:
+            for y in d0, d1, d2:
+                got = cmp(x, y)
                 if (x is d0 or x is d1) and (y is d0 or y is d1):
                     expected = 0
                 elif x is y is d2:
@@ -1893,6 +1902,36 @@
         self.assertRaises(ValueError, base.replace, second=100)
         self.assertRaises(ValueError, base.replace, microsecond=1000000)
 
+    def test_mixed_compare(self):
+        t1 = time(1, 2, 3)
+        t2 = timetz(1, 2, 3)
+        self.assertEqual(t1, t2)
+        t2 = t2.replace(tzinfo=None)
+        self.assertEqual(t1, t2)
+        t2 = t2.replace(tzinfo=FixedOffset(None, ""))
+        self.assertEqual(t1, t2)
+        t2 = t2.replace(tzinfo=FixedOffset(0, ""))
+        self.assertRaises(TypeError, lambda: t1 == t2)
+
+        # In timetz w/ identical tzinfo objects, utcoffset is ignored.
+        class Varies(tzinfo):
+            def __init__(self):
+                self.offset = 22
+            def utcoffset(self, t):
+                self.offset += 1
+                return self.offset
+
+        v = Varies()
+        t1 = t2.replace(tzinfo=v)
+        t2 = t2.replace(tzinfo=v)
+        self.assertEqual(t1.utcoffset(), timedelta(minutes=23))
+        self.assertEqual(t2.utcoffset(), timedelta(minutes=24))
+        self.assertEqual(t1, t2)
+
+        # But if they're not identical, it isn't ignored.
+        t2 = t2.replace(tzinfo=Varies())
+        self.failUnless(t1 < t2)  # t1's offset counter still going up
+
 
 class TestDateTimeTZ(TestDateTime, TZInfoBase):
     theclass = datetimetz
@@ -1971,7 +2010,7 @@
             def utcoffset(self, dt): return 1440 # out of bounds
         t1 = self.theclass(2, 2, 2, tzinfo=Bogus())
         t2 = self.theclass(2, 2, 2, tzinfo=FixedOffset(0, ""))
-        self.assertRaises(ValueError, lambda: t1 == t1)
+        self.assertRaises(ValueError, lambda: t1 == t2)
 
     def test_pickling(self):
         import pickle, cPickle
@@ -2389,10 +2428,8 @@
     def test_aware_subtract(self):
         cls = self.theclass
 
-        # Primarily trying to ensure that utcoffset() gets called even if
-        # the operands have the same tzinfo member.  Subtraction didn't
-        # used to do this, and it makes a difference for DST-aware tzinfo
-        # instances.
+        # Ensure that utcoffset() is ignored when the operands have the
+        # same tzinfo member.
         class OperandDependentOffset(tzinfo):
             def utcoffset(self, t):
                 if t.minute < 10:
@@ -2407,6 +2444,18 @@
         for x in d0, d1, d2:
             for y in d0, d1, d2:
                 got = x - y
+                expected = timedelta(minutes=x.minute - y.minute)
+                self.assertEqual(got, expected)
+
+        # OTOH, if the tzinfo members are distinct, utcoffsets aren't
+        # ignored.
+        base = cls(8, 9, 10, 11, 12, 13, 14)
+        d0 = base.replace(minute=3, tzinfo=OperandDependentOffset())
+        d1 = base.replace(minute=9, tzinfo=OperandDependentOffset())
+        d2 = base.replace(minute=11, tzinfo=OperandDependentOffset())
+        for x in d0, d1, d2:
+            for y in d0, d1, d2:
+                got = x - y
                 if (x is d0 or x is d1) and (y is d0 or y is d1):
                     expected = timedelta(0)
                 elif x is y is d2:
@@ -2418,6 +2467,35 @@
                     expected = timedelta(minutes=0-(11-59))
                 self.assertEqual(got, expected)
 
+    def test_mixed_compare(self):
+        t1 = datetime(1, 2, 3, 4, 5, 6, 7)
+        t2 = datetimetz(1, 2, 3, 4, 5, 6, 7)
+        self.assertEqual(t1, t2)
+        t2 = t2.replace(tzinfo=None)
+        self.assertEqual(t1, t2)
+        t2 = t2.replace(tzinfo=FixedOffset(None, ""))
+        self.assertEqual(t1, t2)
+        t2 = t2.replace(tzinfo=FixedOffset(0, ""))
+        self.assertRaises(TypeError, lambda: t1 == t2)
+
+        # In datetimetz w/ identical tzinfo objects, utcoffset is ignored.
+        class Varies(tzinfo):
+            def __init__(self):
+                self.offset = 22
+            def utcoffset(self, t):
+                self.offset += 1
+                return self.offset
+
+        v = Varies()
+        t1 = t2.replace(tzinfo=v)
+        t2 = t2.replace(tzinfo=v)
+        self.assertEqual(t1.utcoffset(), timedelta(minutes=23))
+        self.assertEqual(t2.utcoffset(), timedelta(minutes=24))
+        self.assertEqual(t1, t2)
+
+        # But if they're not identical, it isn't ignored.
+        t2 = t2.replace(tzinfo=Varies())
+        self.failUnless(t1 < t2)  # t1's offset counter still going up
 
 def test_suite():
     allsuites = [unittest.makeSuite(klass, 'test')
diff --git a/Modules/datetimemodule.c b/Modules/datetimemodule.c
index d7c6005..e460dee 100644
--- a/Modules/datetimemodule.c
+++ b/Modules/datetimemodule.c
@@ -3136,17 +3136,28 @@
 			     other->ob_type->tp_name);
 		return NULL;
 	}
-	n1 = classify_utcoffset((PyObject *)self, &offset1);
-	assert(n1 != OFFSET_UNKNOWN);
-	if (n1 == OFFSET_ERROR)
-		return NULL;
+	/* Ignore utcoffsets if they have identical tzinfo members.  This
+	 * isn't an optimization, it's design.  If utcoffset() doesn't ignore
+	 * its argument, it may return different results for self and other
+	 * even if they have identical tzinfo members, and we're deliberately
+	 * suppressing that (possible) difference.
+	 */
+	if (get_tzinfo_member((PyObject *)self) == get_tzinfo_member(other)) {
+		offset1 = offset2 = 0;
+		n1 = n2 = OFFSET_NAIVE;
+	}
+	else {
+		n1 = classify_utcoffset((PyObject *)self, &offset1);
+		assert(n1 != OFFSET_UNKNOWN);
+		if (n1 == OFFSET_ERROR)
+			return NULL;
 
-	n2 = classify_utcoffset(other, &offset2);
-	assert(n2 != OFFSET_UNKNOWN);
-	if (n2 == OFFSET_ERROR)
-		return NULL;
-
-	/* If they're both naive, or both aware and have the same offsets,
+		n2 = classify_utcoffset(other, &offset2);
+		assert(n2 != OFFSET_UNKNOWN);
+		if (n2 == OFFSET_ERROR)
+			return NULL;
+	}
+ 	/* If they're both naive, or both aware and have the same offsets,
 	 * we get off cheap.  Note that if they're both naive, offset1 ==
 	 * offset2 == 0 at this point.
 	 */
@@ -3656,15 +3667,27 @@
 			     other->ob_type->tp_name);
 		return NULL;
 	}
-	n1 = classify_utcoffset((PyObject *)self, &offset1);
-	assert(n1 != OFFSET_UNKNOWN);
-	if (n1 == OFFSET_ERROR)
-		return NULL;
+	/* Ignore utcoffsets if they have identical tzinfo members.  This
+	 * isn't an optimization, it's design.  If utcoffset() doesn't ignore
+	 * its argument, it may return different results for self and other
+	 * even if they have identical tzinfo members, and we're deliberately
+	 * suppressing that (possible) difference.
+	 */
+	if (get_tzinfo_member((PyObject *)self) == get_tzinfo_member(other)) {
+		offset1 = offset2 = 0;
+		n1 = n2 = OFFSET_NAIVE;
+	}
+	else {
+		n1 = classify_utcoffset((PyObject *)self, &offset1);
+		assert(n1 != OFFSET_UNKNOWN);
+		if (n1 == OFFSET_ERROR)
+			return NULL;
 
-	n2 = classify_utcoffset(other, &offset2);
-	assert(n2 != OFFSET_UNKNOWN);
-	if (n2 == OFFSET_ERROR)
-		return NULL;
+		n2 = classify_utcoffset(other, &offset2);
+		assert(n2 != OFFSET_UNKNOWN);
+		if (n2 == OFFSET_ERROR)
+			return NULL;
+	}
 
 	/* If they're both naive, or both aware and have the same offsets,
 	 * we get off cheap.  Note that if they're both naive, offset1 ==
@@ -4601,15 +4624,29 @@
 			int offset1, offset2;
 			PyDateTime_Delta *delta;
 
-			n1 = classify_utcoffset(left, &offset1);
-			assert(n1 != OFFSET_UNKNOWN);
-			if (n1 == OFFSET_ERROR)
-				return NULL;
+			/* Ignore utcoffsets if they have identical tzinfo
+			 * members.  This isn't an optimization, it's design.
+			 * If utcoffset() doesn't ignore its argument, it may
+			 * return different results for self and other even
+			 * if they have identical tzinfo members, and we're
+			 * deliberately suppressing that (possible) difference.
+			 */
+			if (get_tzinfo_member(left) ==
+			    get_tzinfo_member(right)) {
+				offset1 = offset2 = 0;
+				n1 = n2 = OFFSET_NAIVE;
+			}
+			else {
+				n1 = classify_utcoffset(left, &offset1);
+				assert(n1 != OFFSET_UNKNOWN);
+				if (n1 == OFFSET_ERROR)
+					return NULL;
 
-			n2 = classify_utcoffset(right, &offset2);
-			assert(n2 != OFFSET_UNKNOWN);
-			if (n2 == OFFSET_ERROR)
-				return NULL;
+				n2 = classify_utcoffset(right, &offset2);
+				assert(n2 != OFFSET_UNKNOWN);
+				if (n2 == OFFSET_ERROR)
+					return NULL;
+			}
 
 			if (n1 != n2) {
 				PyErr_SetString(PyExc_TypeError,