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### How to use cached_function and parallel together

I have a function f(a,b,c) which I'd like to save the output values of, so I'm currently using the @cached_function decorator to do so:

@cached_function
def f(a,b,c):
m = g(a+b)
n = h(c)
out = (expensive calculation involving m and m)
return m+n

@cached_function
def g(d):
out = (expensive calculation involving d)
return out

@cached_function
def h(c):
out = (expensive calculation involving c)
return out


I would now like to calculate the values of this function for a number of triples (a,b,c) = (a1,b1,c1), (a2,b2,c2), ..., (aN,bN,cN), and since there are many such triples I'd like to calculate them in parallel. From some Googling it seems that I should use the @parallel decorator, but

1. How do I use the parallel decorator to calculate values of a function which has more than one input parameter?
2. Is it possible for the calculations of these individual values of f to share memory somehow? The calculation of my function f depends on other expensive functions g and h and thus I have also used the @cached_function decorator on them; it would be preferable for g and h to not be run on the same input if multiple processes are used to perform the calculation of f.

Here is a mock

### How to use cached_function and parallel together

I have a function f(a,b,c) which I'd like to save the output values of, so I'm currently using the @cached_function decorator to do so:

@cached_function
def f(a,b,c):
m = g(a+b)
n = h(c)
out = (expensive calculation involving m and m)
return m+n

@cached_function
def g(d):
out = (expensive calculation involving d)
return out

@cached_function
def h(c):
out = (expensive calculation involving c)
return out


I would now like to calculate the values of this function for a number of triples (a,b,c) = (a1,b1,c1), (a2,b2,c2), ..., (aN,bN,cN), and since there are many such triples I'd like to calculate them in parallel. From some Googling it seems that I should use the @parallel decorator, but

1. How do I use the parallel decorator to calculate values of a function which has more than one input parameter?
2. Is it possible for the calculations of these individual values of f to share memory somehow? The calculation of my function f depends on other expensive functions g and h and thus I have also used the @cached_function decorator on them; it would be preferable for g and h to not be run on the same input if multiple processes are used to perform the calculation of f.

Here is a mock