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BUG: map method on Datetimearray, TimedeltaArray, PeriodArray and related indexes should not work arraywise #51977

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@topper-123

Description

@topper-123

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Reproducible Example

>>> import pandas as pd
>>> idx = pd.date_range(start='2018-04-24', end='2018-04-27', freq="1d")
>>> idx.freq  # index has a freq attribute
<Day>
>>> hasattr(idx[0], "freq")  # elements have no freq attribute
False
>>> f = lambda x: x + x.freq
>>> idx.map(f)  # doesn't fail, because it does't operate on the elements
DatetimeIndex(['2018-04-25', '2018-04-26', '2018-04-27', '2018-04-28'], dtype='datetime64[ns]', freq='D')

Issue Description

In general, the map method in Pandas works element-wise. However, for the datetimelike arrays (Datetimearray, TimedeltaArray, PeriodArray, DatetimeIndex, TimedeltaIndex, PeriodIndex), the .map functions tries to operate arraywise first and then only falls back to operating elementwise, if that fails.

Expected Behavior

I would expect consistent behavior across all of Pandas, i.e. map to always operates element-wise here, if it operates element-wise otherwise in Pandas.

If users want to operate array-wise, they should call the function on the array, i.e. in the above case do f(idx) instead of doing idx.map(f). Alternatively, we could add a .pipe method to Index, similarly how we have Series.pipe, so array-wise operations would be done like idx.pipe(f).

Installed Versions

INSTALLED VERSIONS

commit : fb754d7
python : 3.9.7.final.0
python-bits : 64
OS : Darwin
OS-release : 22.3.0
Version : Darwin Kernel Version 22.3.0: Mon Jan 30 20:39:35 PST 2023; root:xnu-8792.81.3~2/RELEASE_ARM64_T8103
machine : arm64
processor : arm
byteorder : little
LC_ALL : None
LANG : None
LOCALE : None.UTF-8

pandas : 2.1.0.dev0+213.gfb754d71db.dirty
numpy : 1.23.4
pytz : 2022.7
dateutil : 2.8.2
setuptools : 65.6.3
pip : 22.3.1
Cython : 0.29.33
pytest : 7.1.2
hypothesis : 6.37.0
sphinx : 5.0.2
blosc : 1.10.6
feather : None
xlsxwriter : 3.0.3
lxml.etree : 4.9.1
html5lib : None
pymysql : 1.0.2
psycopg2 : 2.9.5
jinja2 : 3.1.2
IPython : 8.9.0
pandas_datareader: None
bs4 : 4.11.1
bottleneck : 1.3.5
brotli :
fastparquet : 0.8.3
fsspec : 2022.11.0
gcsfs : 2022.11.0
matplotlib : 3.6.2
numba : 0.56.4
numexpr : 2.8.4
odfpy : None
openpyxl : 3.0.10
pandas_gbq : None
pyarrow : 9.0.0
pyreadstat : None
pyxlsb : 1.0.10
s3fs : 2022.11.0
scipy : 1.9.1
snappy : None
sqlalchemy : 1.4.43
tables : 3.7.0
tabulate : 0.9.0
xarray : None
xlrd : 2.0.1
zstandard : 0.18.0
tzdata : None
qtpy : 2.2.0
pyqt5 : None

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