Apologies if this has been answered before or is impossible, but:
Is there a state-independent, non-iterative function that, given an (integer) input (n) and (integer) minimum (min) and maximum (max) values, uniquely maps n to a pseudorandom (integer) output between min and max?
By non-iterative, I mean it wouldn't have to iterate through every number in the set from min to max in order to map n.
For example (I do not know LaTeX, sorry):
The function is defined as f(n, min, max)
f(1, 1, 5) = 5
f(2, 1, 5) = 2
f(3, 1, 5) = 4
f(4, 1, 5) = 1
and f(5, 1, 5) = 3
And similarly for other min and max values.