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BUG: new string dtype fails with >2 GB of data in a single column #56259

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@jorisvandenbossche

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@jorisvandenbossche

(Patrick already opened PR #56220 with a change that addresses this, but posting it here anyway to have an example reproducer and some context for one of the reasons to switch to large string)

With the new String dtype enabled, and creating a Series with string data that holds more than 2GB of data:

import numpy as np
import string
data = ["".join(np.random.choice(list(string.ascii_letters), n)) for n in np.random.randint(10, 500, size=10_000)]

pd.options.future.infer_string = True
ser = pd.Series(data * 1000)
ser.memory_usage() / 1024**3
# 2.4261587597429752

then the take function fails:

In [28]: ser.take([0, 1, 2])
...
File ~/scipy/pandas/pandas/core/arrays/arrow/array.py:1199, in ArrowExtensionArray.take(self, indices, allow_fill, fill_value)
   1195         return result
   1196         # return type(self)(pc.fill_null(result, pa.scalar(fill_value)))
   1197     else:
   1198         # Nothing to fill
-> 1199         return type(self)(self._pa_array.take(indices))
   1200 else:  # allow_fill=False
   1201     # TODO(ARROW-9432): Treat negative indices as indices from the right.
   1202     if (indices_array < 0).any():
   1203         # Don't modify in-place

File ~/miniconda3/envs/dev311/lib/python3.11/site-packages/pyarrow/table.pxi:1029, in pyarrow.lib.ChunkedArray.take()

...

File ~/miniconda3/envs/dev311/lib/python3.11/site-packages/pyarrow/error.pxi:100, in pyarrow.lib.check_status()

ArrowInvalid: offset overflow while concatenating arrays

This is because of a current limitation of the take compute function in Arrow for ChunkedArrays that cannot be combined into a single Array (apache/arrow#25822, apache/arrow#33049). And this issue specifically comes up with the Arrow string type, which uses int32 offsets and thus has a max of 2147483647 ((2 ** 32) / 2)) characters for all values in a single array, which is around 2G of data.
Arrow has a large_string type which uses int64 offsets instead, and essentially removes an upper limit (at least for pandas' use cases, it's in the petabytes).

And given that this happens in the take operation, this has a large consequence on various pandas operations (alignment, reindexing, joining, ...) that will fail with the current string dtype if you have a larger dataset.

xref #54792

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