I'm looking for a function that takes a tuple of functions over a common domain and returns a function from that domain to a tuple of their respective outputs. I'm assuming that such a utility is either built into Scala or is tucked away somewhere in Scalaz, but I have been unable to find it.
For example, the special case of a pair of functions (and taking the functions as individual arguments rather than a pair) would look like:
def pairFunc[I, O1, O2](f: I => O1, g: I => O2): I => (O1, O2) = (x: I) => (f(x), g(x))
Is there a way to achieve this for an arbitrary-arity tuple of functions?
EDIT:
A method on a Function type whose output looks like X -> ((A, B), C) and whose construction looks like f fZip g fZip h is just as fine as one a function whose output is X -> (A, B, C).