I'm learning Haskell and I'm trying to translate a pseudocode algorithm to generate the next permutation from a previous permutation.
A permutation is a list of n numbers (let's call it a) in {1 .. n} appearing once in arbitrary order.
The first step is to find the largest index j in the list for which a[j] < a[j+1].
The pseudocode is simple:
j:= n-1
while a[j] > a[j+1]
j:=j-1
I've coded a haskell function to do this, but it is much uglier than the pseudocode :
j :: Integral a => [a] -> Int
j [] = 0
j xs = if (head (tail (reverse xs)) < last xs)
then (length xs)-2
else j (take (length xs - 1) xs)
Does anyone has a more elegant solution for this first step?