Code Sample,

```python

Your code here

import numpy import xarray

class MyDataArray(xarray.DataArray): pass

da = MyDataArray(numpy.arange(5)) da2 = xarray.zeros_like(da) print(type(da), type(da2))

```

Problem description

I would expect that type(da2) is type(da), but this is not the case. The type of da is always <class 'xarray.core.dataarray.DataArray'>. Rather, the output of this script is:

<class '__main__.MyDataArray'> <class 'xarray.core.dataarray.DataArray'>

Expected Output

I would hope as an output:

<class '__main__.MyDataArray'> <class '__main__.MyDataArray'>

In principle changing this could break people's code, so if a change is implemented it should probably be through an optional keyword argument to the full_like/ones_like/zeros_like family.

Output of xr.show_versions()

Code Sample, a copy-pastable example if possible

```python xarray.DataArray(numpy.arange(3), dims=("x",), coords={"x": {"a", "b", "c"}})

```

Problem description

This results in a MissingDimensionsError, which really isn't the correct exception to raise here.

``` In [57]: xarray.DataArray(numpy.arange(3), dims=("x",), coords={"x": {"a", "b", "c"}})

MissingDimensionsError Traceback (most recent call last) <ipython-input-57-6d18e1623a15> in <module>() ----> 1 xarray.DataArray(numpy.arange(3), dims=("x",), coords={"x": {"a", "b", "c"}})

/group_workspaces/cems2/fiduceo/Users/gholl/anaconda3/envs/FCDR37a/lib/python3.7/site-packages/xarray/core/dataarray.py in init(self, data, coords, dims, name, attrs, encoding, fastpath) 225 226 data = as_compatible_data(data) --> 227 coords, dims = _infer_coords_and_dims(data.shape, coords, dims) 228 variable = Variable(dims, data, attrs, encoding, fastpath=True) 229

/group_workspaces/cems2/fiduceo/Users/gholl/anaconda3/envs/FCDR37a/lib/python3.7/site-packages/xarray/core/dataarray.py in _infer_coords_and_dims(shape, coords, dims) 62 if utils.is_dict_like(coords): 63 for k, v in coords.items(): ---> 64 new_coords[k] = as_variable(v, name=k) 65 elif coords is not None: 66 for dim, coord in zip(dims, coords):

/group_workspaces/cems2/fiduceo/Users/gholl/anaconda3/envs/FCDR37a/lib/python3.7/site-packages/xarray/core/variable.py in as_variable(obj, name) 99 'cannot set variable %r with %r-dimensional data ' 100 'without explicit dimension names. Pass a tuple of ' --> 101 '(dims, data) instead.' % (name, data.ndim)) 102 obj = Variable(name, obj, fastpath=True) 103 else:

MissingDimensionsError: cannot set variable 'x' with 0-dimensional data without explicit dimension names. Pass a tuple of (dims, data) instead. ```

Expected Output

It should probably raise a TypeError, because the values of the coords mapping must be ordered, and a set is an unordered type. If there comes a day that sets are ordered like dictionaries, then it should probably accept the values as they are. In fact, an ordered set would be even more appropriate than a list or array, seeing as coordinate values should be unique :)

Output of xr.show_versions()