code: def test_categorical_index_with_dtype():
      dtype = cudf.CategoricalDtype(categories=["a", "z", "c"])
      gi = cudf.Index(["z", "c", "a"], dtype=dtype)
      pi = pd.Index(["z", "c", "a"], dtype=dtype.to_pandas())
  
      assert_eq(gi, pi)
      assert_eq(gi.dtype, pi.dtype)
      assert_eq(gi.dtype.categories, pi.dtype.categories)
  
imports: import operator
  import string
  import warnings
  from contextlib import contextmanager
  from textwrap import dedent
  import numpy
  import pandas
  import pytest
  import cudf
  from cudf.core._compat import PANDAS_GE_134
  from cudf.testing._utils import NUMERIC_TYPES, assert_eq, assert_exceptions_equal, expect_warning_if
label_desc: Use image node_id 39 for calling a global function with example usage: test_categorical_index_with_dtype() without return types