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Reproducible Example

import numpy as np
import pandas as pd
df = pd.DataFrame({"x": [1, 2]})
df.index = pd.MultiIndex.from_arrays(
    [pd.Categorical(np.array([1, 2], dtype=np.uint64))]
)
df2.index = pd.MultiIndex.from_arrays(
    [pd.Categorical(np.array([1, 2], dtype=np.int64))]
)
pd.testing.assert_frame_equal(df, df2, check_categorical=False, check_index_type=False)

Issue Description

When testing two indices and I ask to not check index type I don't think it should check the type of categories of the of type of an index level either.

Note that for a normal index things behave better:

df = pd.DataFrame({"x": [1, 2]})
df.index = pd.Index(pd.Categorical(np.array([1, 2], dtype=np.int64)))
df2.index = pd.Index(pd.Categorical(np.array([1, 2], dtype=np.uint64)))
pd.testing.assert_frame_equal(df, df2, check_categorical=False)

Passes as I'd expect.

Expected Behavior

df = pd.DataFrame({"x": [1, 2]})
df.index = pd.MultiIndex.from_arrays(
    [pd.Categorical(np.array([1, 2], dtype=np.uint64))]
)
df2.index = pd.MultiIndex.from_arrays(
    [pd.Categorical(np.array([1, 2], dtype=np.int64))]
)
pd.testing.assert_frame_equal(df, df2, check_categorical=False, check_index_type=False)

Expected behavior: passes. Nothing is printed.

Actual behavior:

AssertionError                            Traceback (most recent call last)
Cell In[163], line 8
      2 df.index = pd.MultiIndex.from_arrays(
      3     [pd.Categorical(np.array([1, 2], dtype=np.uint64))]
      4 )
      5 df2.index = pd.MultiIndex.from_arrays(
      6     [pd.Categorical(np.array([1, 2], dtype=np.int64))]
      7 )
----> 8 pd.testing.assert_frame_equal(df, df2, check_categorical=False, check_index_type=False)

    [... skipping hidden 3 frame]

File ~/.local/lib/python3.10/site-packages/pandas/_testing/asserters.py:479, in assert_categorical_equal(left, right, check_dtype, check_category_order, obj)
    476     exact = True
    478 if check_category_order:
--> 479     assert_index_equal(
    480         left.categories, right.categories, obj=f"{obj}.categories", exact=exact
    481     )
    482     assert_numpy_array_equal(
    483         left.codes, right.codes, check_dtype=check_dtype, obj=f"{obj}.codes"
    484     )
    485 else:

    [... skipping hidden 1 frame]

File ~/.local/lib/python3.10/site-packages/pandas/_testing/asserters.py:247, in assert_index_equal.<locals>._check_types(left, right, obj)
    244         assert_index_equal(left.categories, right.categories, exact=exact)
    245     return
--> 247 assert_attr_equal("dtype", left, right, obj=obj)

    [... skipping hidden 1 frame]

File ~/.local/lib/python3.10/site-packages/pandas/_testing/asserters.py:595, in raise_assert_detail(obj, message, left, right, diff, first_diff, index_values)
    592 if first_diff is not None:
    593     msg += f"\n{first_diff}"
--> 595 raise AssertionError(msg)

AssertionError: MultiIndex level [0] category.categories are different

Attribute "dtype" are different
[left]:  uint64
[right]: int64

Installed Versions

INSTALLED VERSIONS ------------------ commit : 5c155883fdc5059ee7e21b20604a021d3aa92b01 python : 3.10.9.final.0 python-bits : 64 OS : Linux OS-release : 5.19.11-1rodete1-amd64 Version : #1 SMP PREEMPT_DYNAMIC Debian 5.19.11-1rodete1 (2022-10-31) machine : x86_64 processor : byteorder : little LC_ALL : None LANG : en_US.UTF-8 LOCALE : en_US.UTF-8 pandas : 2.1.0.dev0+284.g5c155883fd numpy : 1.21.5 pytz : 2022.6 dateutil : 2.8.2 setuptools : 65.6.3 pip : 22.3.1 Cython : None pytest : None hypothesis : None sphinx : None blosc : None feather : None xlsxwriter : None lxml.etree : 4.9.1 html5lib : 1.1 pymysql : None psycopg2 : None jinja2 : 3.1.2 IPython : 8.10.0 pandas_datareader: None bs4 : 4.11.1 bottleneck : None brotli : 1.0.9 fastparquet : None fsspec : None gcsfs : None matplotlib : None numba : None numexpr : None odfpy : None openpyxl : None pandas_gbq : None pyarrow : None pyreadstat : None pyxlsb : None s3fs : None scipy : None snappy : None sqlalchemy : None tables : None tabulate : None xarray : None xlrd : 1.2.0 zstandard : None tzdata : 2022.7 qtpy : None pyqt5 : None

Comment From: DeaMariaLeon

Thanks for the report @caneff I was able to reproduce the bug, but df2 is not defined on your example.