--- test_fractions.py.orig	2009-07-06 20:56:56.000000000 -0700
+++ test_fractions.py	2009-07-15 22:02:55.000000000 -0700
@@ -11,7 +11,34 @@
 F = fractions.Fraction
 gcd = fractions.gcd
 
-
+class DummyRational(object):
+    """Test comparison of Fraction with a naive rational implementation."""
+    
+    def __init__(self, num, den):
+        g = gcd(num, den)
+        self.num = num // g
+        self.den = den // g
+        
+    def __eq__(self, other):
+        if not isinstance(other, fractions.Fraction):
+            raise ValueError("Expected type Fraction.")
+        else:
+            return (self.num == other._numerator and
+                    self.den == other._denominator)
+                    
+    def __lt__(self, other):
+        return(self.num * other._denominator < self.den * other._numerator)
+        
+    def __gt__(self, other):
+        return(self.num * other._denominator > self.den * other._numerator)    
+        
+    def __le__(self, other):
+        return(self.num * other._denominator <= self.den * other._numerator)    
+       
+    def __ge__(self, other):
+        return(self.num * other._denominator >= self.den * other._numerator)
+        
+    
 class GcdTest(unittest.TestCase):
 
     def testMisc(self):
@@ -323,7 +350,25 @@
         self.assertFalse(F(1, 2) == F(1, 3))
         self.assertFalse(F(1, 2) != F(1, 2))
         self.assertTrue(F(1, 2) != F(1, 3))
-
+        
+    def testComparisonsDummyRational(self):
+        self.assertTrue(F(1, 2) == DummyRational(1, 2))
+        self.assertTrue(DummyRational(1, 2) == F(1, 2))
+        self.assertFalse(F(1, 2) == DummyRational(3, 4))
+        self.assertFalse(DummyRational(3, 4) == F(1, 2))
+        self.assertTrue(F(1, 2) < DummyRational(3, 4))
+        self.assertFalse(F(1, 2) < DummyRational(1, 2))
+        self.assertFalse(F(1, 2) < DummyRational(1, 7))
+        self.assertFalse(F(1, 2) > DummyRational(3, 4))
+        self.assertFalse(F(1, 2) > DummyRational(1, 2))
+        self.assertTrue(F(1, 2) > DummyRational(1, 7))
+        self.assertTrue(F(1, 2) <= DummyRational(3, 4))
+        self.assertTrue(F(1, 2) <= DummyRational(1, 2))
+        self.assertFalse(F(1, 2) <= DummyRational(1, 7))
+        self.assertFalse(F(1, 2) >= DummyRational(3, 4))
+        self.assertTrue(F(1, 2) >= DummyRational(1, 2))
+        self.assertTrue(F(1, 2) >= DummyRational(1, 7))
+         
     def testMixedLess(self):
         self.assertTrue(2 < F(5, 2))
         self.assertFalse(2 < F(4, 2))