You could use a map function that allows multiple arguments, as does the fork of multiprocessing found in pathos.
>>> from pathos.multiprocessing import ProcessingPool as Pool
>>>
>>> def add_and_subtract(x,y):
... return x+y, x-y
...
>>> res = Pool().map(add_and_subtract, range(0,20,2), range(-5,5,1))
>>> res
[(-5, 5), (-2, 6), (1, 7), (4, 8), (7, 9), (10, 10), (13, 11), (16, 12), (19, 13), (22, 14)]
>>> Pool().map(add_and_subtract, *zip(*res))
[(0, -10), (4, -8), (8, -6), (12, -4), (16, -2), (20, 0), (24, 2), (28, 4), (32, 6), (36, 8)]
pathos enables you to easily nest hierarchical parallel maps with multiple inputs, so we can extend our example to demonstrate that.
>>> from pathos.multiprocessing import ThreadingPool as TPool
>>>
>>> res = TPool().amap(add_and_subtract, *zip(*Pool().map(add_and_subtract, range(0,20,2), range(-5,5,1))))
>>> res.get()
[(0, -10), (4, -8), (8, -6), (12, -4), (16, -2), (20, 0), (24, 2), (28, 4), (32, 6), (36, 8)]
Even more fun, is to build a nested function that we can pass into the Pool.
This is possible because pathos uses dill, which can serialize almost anything in python.
>>> def build_fun_things(f, g):
... def do_fun_things(x, y):
... return f(x,y), g(x,y)
... return do_fun_things
...
>>> def add(x,y):
... return x+y
...
>>> def sub(x,y):
... return x-y
...
>>> neato = build_fun_things(add, sub)
>>>
>>> res = TPool().imap(neato, *zip(*Pool().map(neato, range(0,20,2), range(-5,5,1))))
>>> list(res)
[(0, -10), (4, -8), (8, -6), (12, -4), (16, -2), (20, 0), (24, 2), (28, 4), (32, 6), (36, 8)]
If you are not able to go outside of the standard library, however, you will have to do this another way. Your best bet in that case is to use multiprocessing.starmap as seen here: Python multiprocessing pool.map for multiple arguments (noted by @Roberto in the comments on the OP's post)
Get pathos here: https://github.com/uqfoundation