COMPAT: work around deprecation warning on non-equal dtype comparisons

closes #20011

Author: jreback

pandas/core/indexes/base.py

@@ -42,6 +42,7 @@
     is_datetime64_any_dtype,
     is_datetime64tz_dtype,
     is_timedelta64_dtype,
+    is_numeric_dtype,
     needs_i8_conversion,
     is_iterator, is_list_like,
     is_scalar)
@@ -95,13 +96,24 @@ def cmp_method(self, other):
         if needs_i8_conversion(self) and needs_i8_conversion(other):
             return self._evaluate_compare(other, op)
 
+        other = np.asarray(other)
+        self_dtype = self.values.dtype
+        other_dtype = other.dtype
+
         if is_object_dtype(self) and self.nlevels == 1:
             # don't pass MultiIndex
             with np.errstate(all='ignore'):
                 result = ops._comp_method_OBJECT_ARRAY(op, self.values, other)
+
+        elif ((self_dtype.type != other_dtype.type) and not
+              (is_numeric_dtype(self_dtype) and
+               is_numeric_dtype(other_dtype))):
+            # short-circuit on dtype inequity
+            result = op is not operator.eq
+
         else:
             with np.errstate(all='ignore'):
-                result = op(self.values, np.asarray(other))
+                result = op(self.values, other)
 
         # technically we could support bool dtyped Index
         # for now just return the indexing array directly