Cleaner pandas apply with function that cannot use pandas.Series and non-unique index - numpy

Question

In the following, func represents a function that uses multiple columns (with coupling across the group) and cannot operate directly on pandas.Series. The 0*d['x'] syntax was the lightest I could think of to force the conversion, but I think it's awkward.
Additionally, the resulting pandas.Series (s) still includes the group index, which must be removed before adding as a column to the pandas.DataFrame. The s.reset_index(...) index manipulation seems fragile and error-prone, so I'm curious if it can be avoided. Is there an idiom for doing this?
import pandas
import numpy
df = pandas.DataFrame(dict(i=[1]*8,j=[1]*4+[2]*4,x=list(range(4))*2))
df['y'] = numpy.sin(df['x']) + 1000*df['j']
df = df.set_index(['i','j'])
print('# df\n', df)
def func(d):
x = numpy.array(d['x'])
y = numpy.array(d['y'])
# I want to do math with x,y that cannot be applied to
# pandas.Series, so explicitly convert to numpy arrays.
#
# We have to return an appropriately-indexed pandas.Series
# in order for it to be admissible as a column in the
# pandas.DataFrame. Instead of simply "return x + y", we
# have to make the conversion.
return 0*d['x'] + x + y
s = df.groupby(df.index).apply(func)
# The Series is still adorned with the (unnamed) group index,
# which will prevent adding as a column of df due to
# Exception: cannot handle a non-unique multi-index!
s = s.reset_index(level=0, drop=True)
print('# s\n', s)
df['z'] = s
print('# df\n', df)

Answer 1

Instead of
0*d['x'] + x + y
you could use
pd.Series(x+y, index=d.index)
When using groupy-apply, instead of dropping the group key index using:
s = df.groupby(df.index).apply(func)
s = s.reset_index(level=0, drop=True)
df['z'] = s
you can tell groupby to drop the keys using the keyword parameter group_keys=False:
df['z'] = df.groupby(df.index, group_keys=False).apply(func)
import pandas as pd
import numpy as np
df = pd.DataFrame(dict(i=[1]*8,j=[1]*4+[2]*4,x=list(range(4))*2))
df['y'] = np.sin(df['x']) + 1000*df['j']
df = df.set_index(['i','j'])
def func(d):
x = np.array(d['x'])
y = np.array(d['y'])
return pd.Series(x+y, index=d.index)
df['z'] = df.groupby(df.index, group_keys=False).apply(func)
print(df)
yields
x y z
i j
1 1 0 1000.000000 1000.000000
1 1 1000.841471 1001.841471
1 2 1000.909297 1002.909297
1 3 1000.141120 1003.141120
2 0 2000.000000 2000.000000
2 1 2000.841471 2001.841471
2 2 2000.909297 2002.909297
2 3 2000.141120 2003.141120