diff --git a/Lib/decimal.py b/Lib/decimal.py
index eea9448..8034039 100644
--- a/Lib/decimal.py
+++ b/Lib/decimal.py
@@ -717,6 +717,39 @@
             return other._fix_nan(context)
         return 0
 
+    def _compare_check_nans(self, other, context):
+        """Version of _check_nans used for the signaling comparisons
+        compare_signal, __le__, __lt__, __ge__, __gt__.
+
+        Signal InvalidOperation if either self or other is a (quiet
+        or signaling) NaN.  Signaling NaNs take precedence over quiet
+        NaNs.
+
+        Return 0 if neither operand is a NaN.
+
+        """
+        if context is None:
+            context = getcontext()
+
+        if self._is_special or other._is_special:
+            if self.is_snan():
+                return context._raise_error(InvalidOperation,
+                                            'comparison involving sNaN',
+                                            self)
+            elif other.is_snan():
+                return context._raise_error(InvalidOperation,
+                                            'comparison involving sNaN',
+                                            other)
+            elif self.is_qnan():
+                return context._raise_error(InvalidOperation,
+                                            'comparison involving NaN',
+                                            self)
+            elif other.is_qnan():
+                return context._raise_error(InvalidOperation,
+                                            'comparison involving NaN',
+                                            other)
+        return 0
+
     def __nonzero__(self):
         """Return True if self is nonzero; otherwise return False.
 
@@ -724,18 +757,13 @@
         """
         return self._is_special or self._int != '0'
 
-    def __cmp__(self, other):
-        other = _convert_other(other)
-        if other is NotImplemented:
-            # Never return NotImplemented
-            return 1
+    def _cmp(self, other):
+        """Compare the two non-NaN decimal instances self and other.
+
+        Returns -1 if self < other, 0 if self == other and 1
+        if self > other.  This routine is for internal use only."""
 
         if self._is_special or other._is_special:
-            # check for nans, without raising on a signaling nan
-            if self._isnan() or other._isnan():
-                return 1  # Comparison involving NaN's always reports self > other
-
-            # INF = INF
             return cmp(self._isinfinity(), other._isinfinity())
 
         # check for zeros;  note that cmp(0, -0) should return 0
@@ -764,15 +792,71 @@
         else: # self_adjusted < other_adjusted
             return -((-1)**self._sign)
 
+    # Note: The Decimal standard doesn't cover rich comparisons for
+    # Decimals.  In particular, the specification is silent on the
+    # subject of what should happen for a comparison involving a NaN.
+    # We take the following approach:
+    #
+    #   == comparisons involving a NaN always return False
+    #   != comparisons involving a NaN always return True
+    #   <, >, <= and >= comparisons involving a (quiet or signaling)
+    #      NaN signal InvalidOperation, and return False if the
+    #      InvalidOperation is trapped.
+    #
+    # This behavior is designed to conform as closely as possible to
+    # that specified by IEEE 754.
+
     def __eq__(self, other):
-        if not isinstance(other, (Decimal, int, long)):
-            return NotImplemented
-        return self.__cmp__(other) == 0
+        other = _convert_other(other)
+        if other is NotImplemented:
+            return other
+        if self.is_nan() or other.is_nan():
+            return False
+        return self._cmp(other) == 0
 
     def __ne__(self, other):
-        if not isinstance(other, (Decimal, int, long)):
-            return NotImplemented
-        return self.__cmp__(other) != 0
+        other = _convert_other(other)
+        if other is NotImplemented:
+            return other
+        if self.is_nan() or other.is_nan():
+            return True
+        return self._cmp(other) != 0
+
+    def __lt__(self, other, context=None):
+        other = _convert_other(other)
+        if other is NotImplemented:
+            return other
+        ans = self._compare_check_nans(other, context)
+        if ans:
+            return False
+        return self._cmp(other) < 0
+
+    def __le__(self, other, context=None):
+        other = _convert_other(other)
+        if other is NotImplemented:
+            return other
+        ans = self._compare_check_nans(other, context)
+        if ans:
+            return False
+        return self._cmp(other) <= 0
+
+    def __gt__(self, other, context=None):
+        other = _convert_other(other)
+        if other is NotImplemented:
+            return other
+        ans = self._compare_check_nans(other, context)
+        if ans:
+            return False
+        return self._cmp(other) > 0
+
+    def __ge__(self, other, context=None):
+        other = _convert_other(other)
+        if other is NotImplemented:
+            return other
+        ans = self._compare_check_nans(other, context)
+        if ans:
+            return False
+        return self._cmp(other) >= 0
 
     def compare(self, other, context=None):
         """Compares one to another.
@@ -791,7 +875,7 @@
             if ans:
                 return ans
 
-        return Decimal(self.__cmp__(other))
+        return Decimal(self._cmp(other))
 
     def __hash__(self):
         """x.__hash__() <==> hash(x)"""
@@ -2452,7 +2536,7 @@
                     return other._fix_nan(context)
                 return self._check_nans(other, context)
 
-        c = self.__cmp__(other)
+        c = self._cmp(other)
         if c == 0:
             # If both operands are finite and equal in numerical value
             # then an ordering is applied:
@@ -2494,7 +2578,7 @@
                     return other._fix_nan(context)
                 return self._check_nans(other, context)
 
-        c = self.__cmp__(other)
+        c = self._cmp(other)
         if c == 0:
             c = self.compare_total(other)
 
@@ -2542,23 +2626,10 @@
         It's pretty much like compare(), but all NaNs signal, with signaling
         NaNs taking precedence over quiet NaNs.
         """
-        if context is None:
-            context = getcontext()
-
-        self_is_nan = self._isnan()
-        other_is_nan = other._isnan()
-        if self_is_nan == 2:
-            return context._raise_error(InvalidOperation, 'sNaN',
-                                        self)
-        if other_is_nan == 2:
-            return context._raise_error(InvalidOperation, 'sNaN',
-                                        other)
-        if self_is_nan:
-            return context._raise_error(InvalidOperation, 'NaN in compare_signal',
-                                        self)
-        if other_is_nan:
-            return context._raise_error(InvalidOperation, 'NaN in compare_signal',
-                                        other)
+        other = _convert_other(other, raiseit = True)
+        ans = self._compare_check_nans(other, context)
+        if ans:
+            return ans
         return self.compare(other, context=context)
 
     def compare_total(self, other):
@@ -3065,7 +3136,7 @@
                     return other._fix_nan(context)
                 return self._check_nans(other, context)
 
-        c = self.copy_abs().__cmp__(other.copy_abs())
+        c = self.copy_abs()._cmp(other.copy_abs())
         if c == 0:
             c = self.compare_total(other)
 
@@ -3095,7 +3166,7 @@
                     return other._fix_nan(context)
                 return self._check_nans(other, context)
 
-        c = self.copy_abs().__cmp__(other.copy_abs())
+        c = self.copy_abs()._cmp(other.copy_abs())
         if c == 0:
             c = self.compare_total(other)
 
@@ -3170,7 +3241,7 @@
         if ans:
             return ans
 
-        comparison = self.__cmp__(other)
+        comparison = self._cmp(other)
         if comparison == 0:
             return self.copy_sign(other)