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issues: 369751771

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id node_id number title user state locked assignee milestone comments created_at updated_at closed_at author_association active_lock_reason draft pull_request body reactions performed_via_github_app state_reason repo type
369751771 MDU6SXNzdWUzNjk3NTE3NzE= 2484 Enable add/sub operations involving a CFTimeIndex and a TimedeltaIndex 6628425 closed 0     1 2018-10-13T01:00:28Z 2018-10-17T04:00:57Z 2018-10-17T04:00:57Z MEMBER      

``` In [1]: import xarray as xr

In [2]: start_dates = xr.cftime_range('1999-12', periods=12, freq='M')

In [3]: end_dates = start_dates.shift(1, 'M')

In [4]: end_dates - start_dates

TypeError Traceback (most recent call last) <ipython-input-4-43c24409020b> in <module>() ----> 1 end_dates - start_dates

/Users/spencerclark/xarray-dev/xarray/xarray/coding/cftimeindex.pyc in sub(self, other) 365 366 def sub(self, other): --> 367 return CFTimeIndex(np.array(self) - other) 368 369

TypeError: unsupported operand type(s) for -: 'numpy.ndarray' and 'CFTimeIndex'

```

Problem description

Subtracting one DatetimeIndex from another produces a TimedeltaIndex: ``` In [5]: import pandas as pd

In [6]: start_dates = pd.date_range('1999-12', periods=12, freq='M')

In [7]: end_dates = start_dates.shift(1, 'M')

In [8]: end_dates - start_dates Out[8]: TimedeltaIndex(['31 days', '29 days', '31 days', '30 days', '31 days', '30 days', '31 days', '31 days', '30 days', '31 days', '30 days', '31 days'], dtype='timedelta64[ns]', freq=None) ``` This should also be straightforward to enable for CFTimeIndexes and would be useful, for example, in the problem described in https://github.com/pydata/xarray/issues/2481#issue-369639339.

Expected Output

``` In [1]: import xarray as xr

In [2]: start_dates = xr.cftime_range('1999-12', periods=12, freq='M')

In [3]: end_dates = start_dates.shift(1, 'M')

In [4]: end_dates - start_dates Out[4]: TimedeltaIndex(['31 days', '29 days', '31 days', '30 days', '31 days', '30 days', '31 days', '31 days', '30 days', '31 days', '30 days', '31 days'], dtype='timedelta64[ns]', freq=None) ```

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  completed 13221727 issue

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