Follow pandas no_default usage more carefully

xarray/coding/cftime_offsets.py

@@ -45,7 +45,7 @@
 from datetime import datetime, timedelta
 from enum import Enum
 from functools import partial
-from typing import TYPE_CHECKING, ClassVar
+from typing import TYPE_CHECKING, ClassVar, Literal
 
 import numpy as np
 import pandas as pd
@@ -866,6 +866,12 @@ def __repr__(self) -> str:
         return "<no_default>"
 
 
+no_default = (
+    _NoDefault.no_default
+)  # Sentinel indicating the default value following pandas
+NoDefault = Literal[_NoDefault.no_default]  # For typing following pandas
+
+
 def _translate_closed_to_inclusive(closed):
     """Follows code added in pandas #43504."""
     emit_user_level_warning(
@@ -888,12 +894,12 @@ def _translate_closed_to_inclusive(closed):
 
 def _infer_inclusive(closed, inclusive):
     """Follows code added in pandas #43504."""
-    if closed is not _NoDefault and inclusive is not None:
+    if closed is not no_default and inclusive is not None:
         raise ValueError(
             "Following pandas, deprecated argument `closed` cannot be "
             "passed if argument `inclusive` is not None."
         )
-    if closed is not _NoDefault:
+    if closed is not no_default:
         inclusive = _translate_closed_to_inclusive(closed)
     elif inclusive is None:
         inclusive = "both"
@@ -907,7 +913,7 @@ def cftime_range(
     freq="D",
     normalize=False,
     name=None,
-    closed: _NoDefault | SideOptions = _NoDefault,
+    closed: NoDefault | SideOptions = no_default,
     inclusive: None | InclusiveOptions = None,
     calendar="standard",
 ):
@@ -1143,7 +1149,7 @@ def date_range(
     tz=None,
     normalize=False,
     name=None,
-    closed: _NoDefault | SideOptions = _NoDefault,
+    closed: NoDefault | SideOptions = no_default,
     inclusive: None | InclusiveOptions = None,
     calendar="standard",
     use_cftime=None,