BUG: Boolean Series (actually object) with <NA> values breaks ~ negation and reverts to bit-wise operations

[RedAero]

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Reproducible Example

~pd.Series([True, False]) => [False, True]
~pd.Series([True, False, pd.NA]) => [-2, -1, <NA>]

~pd.Series([True, False, pd.NA], dtype=pd.BooleanDtype()) => [False, True, <NA>]

Issue Description

In the example it is of course possible to work around the issue with forcing the dtype, but in the context of actual dataframes coming from real databases, NULLs are still best handled by simply replacing them with empty strings and hoping for the best, because no NULL-like object seems to work well with ordinary string and filter operations.

As a sidenote, if the pd.NA is instead a None, a TypeError is thrown.

#59831 is a related issue.

Expected Behavior

I'd expect the T/F values to flip and the NAs to remain by default, as they do when the dtype is forced.

Installed Versions

INSTALLED VERSIONS

commit : d9cdd2e
python : 3.11.6.final.0
python-bits : 64
OS : Windows
OS-release : 10
Version : 10.0.19045
machine : AMD64
processor : AMD64 Family 25 Model 33 Stepping 0, AuthenticAMD
byteorder : little
LC_ALL : None
LANG : en
LOCALE : English_United Kingdom.1252

pandas : 2.2.2
numpy : 1.26.4
pytz : 2023.3
dateutil : 2.8.2
setuptools : 68.2.2
pip : 24.2
Cython : 3.0.5
pytest : 7.4.2
hypothesis : 6.87.1
sphinx : 6.1.3
blosc : None
feather : 0.4.1
xlsxwriter : 3.1.2
lxml.etree : 4.9.3
html5lib : 1.1
pymysql : None
psycopg2 : None
jinja2 : 3.1.2
IPython : 8.18.1
pandas_datareader : None
adbc-driver-postgresql: None
adbc-driver-sqlite : None
bs4 : 4.12.2
bottleneck : 1.3.7
dataframe-api-compat : None
fastparquet : 2023.8.0
fsspec : 2023.9.2
gcsfs : None
matplotlib : 3.9.0
numba : 0.60.0
numexpr : 2.8.7
odfpy : None
openpyxl : 3.1.2
pandas_gbq : None
pyarrow : 13.0.0
pyreadstat : None
python-calamine : None
pyxlsb : 1.0.10
s3fs : None
scipy : 1.14.0
sqlalchemy : 2.0.22
tables : 3.9.2
tabulate : 0.9.0
xarray : 2023.11.0
xlrd : 2.0.1
zstandard : 0.22.0
tzdata : 2022.7
qtpy : 2.4.1
pyqt5 : None

[rhshadrach]

Thanks for the report. A possible resolution would be to infer Int64 dtype from the list [1, 2, pd.NA], but this would be a bit too fragile: you'd get int64 if there was no pd.NA, but Int64 when there is. That seems highly undesirable to me. When pandas switches to nullable arrays to be the default, this issue will go away. Until then, I think the only resolution is to specify the dtype or use Series.convert_dtypes

When you have object dtype, it seems correct to me to apply the negation (~) operation corresponding to the underlying Python object.

print(~0)
# -1

because no NULL-like object seems to work well with ordinary string and filter operations.

I do not understand this comment, can you not use dtype=string?

[RedAero]

I do not understand this comment, can you not use dtype=string?

Well, for a start because string would be undefined (you mean str), but the point is that if you have a Series with anything null-like, they have to be explicitly handled every time, otherwise errors are thrown. In SQL, if I query a table and use something like WHERE LEFT(customer_name, 1) = 'E", it's not going to error out if the ID field has NULLs.
Pandas does:
df.loc[df["customer_name"].str.startswith("E")]
ValueError: Cannot mask with non-boolean array containing NA / NaN values

And there's no easy way to deal with this - or, well, there is: fillna('some-string-that-won't-appear-in-the-data') Which should give everyone the ick. You can also use True/False instead, but that has it's own, obvious problems.

[rhshadrach]

Well, for a start because string would be undefined (you mean str)

Ah, sorry, I mean dtype="string"