Description
Pandas version checks
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I have checked that this issue has not already been reported.
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I have confirmed this bug exists on the latest version of pandas.
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I have confirmed this bug exists on the main branch of pandas.
Reproducible Example
>>> index = pd.DatetimeIndex(pd.date_range(start="2000", freq = 'YS', periods = 10), name = 'Date')
>>> df = pd.DataFrame(data=list(range(10)), index = index)
>>> print(df.index.freq)
<YearBegin: month=1>
>>> print(df.reset_index()['Date']._values.freq)
None
>>> df = df.reset_index().set_index('Date')
>>> print(df.index.freq)
None
Issue Description
When doing reset_index() on a DatetimeIndex this leads to the frequency being lost. Although the newly created column is a DatetimeArray, it does not seem to carry the freq attribute. As a result, when doing reset_index() -> set_index() I cannot restore the original index which potentially creates issues.
Expected Behavior
I would expect that reset_index().set_index() let's me recover the original index :)
Installed Versions
INSTALLED VERSIONS
commit : bfe5be0
python : 3.10.12
python-bits : 64
OS : Linux
OS-release : 5.15.153.1-microsoft-standard-WSL2
Version : #1 SMP Fri Mar 29 23:14:13 UTC 2024
machine : x86_64
processor : x86_64
byteorder : little
LC_ALL : None
LANG : C.UTF-8
LOCALE : en_US.UTF-8
pandas : 0+untagged.34794.gbfe5be0
numpy : 1.26.4
pytz : 2024.1
dateutil : 2.9.0.post0
pip : 22.0.2
Cython : 3.0.10
sphinx : 7.3.7
IPython : 8.23.0
adbc-driver-postgresql: None
adbc-driver-sqlite : None
bs4 : 4.12.3
blosc : None
bottleneck : 1.3.8
fastparquet : 2024.2.0
fsspec : 2024.3.1
html5lib : 1.1
hypothesis : 6.100.1
gcsfs : 2024.3.1
jinja2 : 3.1.3
lxml.etree : 5.2.1
matplotlib : 3.8.4
numba : 0.59.1
numexpr : 2.10.0
odfpy : None
openpyxl : 3.1.2
psycopg2 : 2.9.9
pymysql : 1.4.6
pyarrow : 16.0.0
pyreadstat : 1.2.7
pytest : 8.1.1
python-calamine : None
pyxlsb : 1.0.10
s3fs : 2024.3.1
scipy : 1.13.0
sqlalchemy : 2.0.29
tables : 3.9.2
tabulate : 0.9.0
xarray : 2024.3.0
xlrd : 2.0.1
xlsxwriter : 3.2.0
zstandard : 0.22.0
tzdata : 2024.1
qtpy : None
pyqt5 : None