issues: 1986324822

What happened?

I tried a DataArray with more than one dimension coordinate. Unfortunately xr.align fails, which disallows any arithmetic operation - even when the coords are exactly the same.

What did you expect to happen?

No response

Minimal Complete Verifiable Example

```Python import numpy as np import xarray as xr

data = np.arange(12).reshape(3, 4)

y = [10, 20, 30] s = ["a", "b", "c"]

x = [1, 2, 3, 4]

da = xr.DataArray(data, dims=("y", "x"), coords={"x": x, "y": y, "s": ("y", s)}) da = da.set_xindex("s")

xr.align(da, da.y) # errors da + da # errors da + da.x # errors ```

MVCE confirmation

• [ ] Minimal example — the example is as focused as reasonably possible to demonstrate the underlying issue in xarray.
• [ ] Complete example — the example is self-contained, including all data and the text of any traceback.
• [ ] Verifiable example — the example copy & pastes into an IPython prompt or Binder notebook, returning the result.
• [ ] New issue — a search of GitHub Issues suggests this is not a duplicate.
• [ ] Recent environment — the issue occurs with the latest version of xarray and its dependencies.

Relevant log output

```Python

ValueError Traceback (most recent call last) /home/mathause/code/mesmer/devel/prepare_for_surfer.ipynb Cell 28 line 1 12 da = xr.DataArray(data, dims=("y", "x"), coords={"x": x, "y": y, "s": ("y", s)}) 13 da = da.set_xindex("s") ---> 15 xr.align(da, da.y) # errors 17 da + da.x # errors

File ~/.conda/envs/mesmer_dev/lib/python3.9/site-packages/xarray/core/alignment.py:888, in align(join, copy, indexes, exclude, fill_value, *objects) 692 """ 693 Given any number of Dataset and/or DataArray objects, returns new 694 objects with aligned indexes and dimension sizes. ref='~/.conda/envs/mesmer_dev/lib/python3.9/site-packages/xarray/core/alignment.py:0'>0;32m (...) 878 879 """ 880 aligner = Aligner( 881 objects, 882 join=join, ref='~/.conda/envs/mesmer_dev/lib/python3.9/site-packages/xarray/core/alignment.py:0'>0;32m (...) 886 fill_value=fill_value, 887 ) --> 888 aligner.align() 889 return aligner.results

File ~/.conda/envs/mesmer_dev/lib/python3.9/site-packages/xarray/core/alignment.py:573, in Aligner.align(self) 571 self.find_matching_indexes() 572 self.find_matching_unindexed_dims() --> 573 self.assert_no_index_conflict() 574 self.align_indexes() 575 self.assert_unindexed_dim_sizes_equal()

File ~/.conda/envs/mesmer_dev/lib/python3.9/site-packages/xarray/core/alignment.py:318, in Aligner.assert_no_index_conflict(self) 314 if dup: 315 items_msg = ", ".join( 316 f"{k!r} ({v} conflicting indexes)" for k, v in dup.items() 317 ) --> 318 raise ValueError( 319 "cannot re-index or align objects with conflicting indexes found for " 320 f"the following {msg}: {items_msg}\n" 321 "Conflicting indexes may occur when\n" 322 "- they relate to different sets of coordinate and/or dimension names\n" 323 "- they don't have the same type\n" 324 "- they may be used to reindex data along common dimensions" 325 )

ValueError: cannot re-index or align objects with conflicting indexes found for the following dimensions: 'y' (2 conflicting indexes) Conflicting indexes may occur when - they relate to different sets of coordinate and/or dimension names - they don't have the same type - they may be used to reindex data along common dimensions ```

Anything else we need to know?

No response

Environment

INSTALLED VERSIONS ------------------ commit: feba6984aa914327408fee3c286dae15969d2a2f python: 3.10.12 | packaged by conda-forge | (main, Jun 23 2023, 22:40:32) [GCC 12.3.0] python-bits: 64 OS: Linux OS-release: 6.2.0-36-generic machine: x86_64 processor: x86_64 byteorder: little LC_ALL: None LANG: en_US.UTF-8 LOCALE: ('en_US', 'UTF-8') libhdf5: 1.14.2 libnetcdf: 4.9.2 xarray: 2023.9.1.dev8+gf6d69a1f pandas: 2.1.1 numpy: 1.24.4 scipy: 1.11.3 netCDF4: 1.6.4 pydap: installed h5netcdf: 1.2.0 h5py: 3.9.0 Nio: None zarr: 2.16.1 cftime: 1.6.2 nc_time_axis: 1.4.1 PseudoNetCDF: 3.2.2 iris: 3.7.0 bottleneck: 1.3.7 dask: 2023.9.2 distributed: None matplotlib: 3.8.0 cartopy: 0.22.0 seaborn: 0.12.2 numbagg: 0.2.2 fsspec: 2023.9.2 cupy: None pint: 0.20.1 sparse: 0.14.0 flox: 0.7.2 numpy_groupies: 0.10.1 setuptools: 68.2.2 pip: 23.2.1 conda: None pytest: 7.4.2 mypy: 1.5.1 IPython: 8.15.0 sphinx: None