The Free On-line Dictionary of Computing (30 December 2018):
unfold/fold
A program transformation where a recursive call to a
function is unfolded to an instance of the function's body
and then later an instance of the function's body is replaced
by a call. E.g.
sumdouble l = sum (double l)
double l = case l of
[] -> []
x:xs -> 2*x + double xs
==> (unfold double)
sumdouble l = sum (case l of
[] -> []
x:xs -> 2*x : double xs)
==> (distribute over case)
sumdouble l = case l of
[] -> sum []
x:xs -> sum (2*x : double xs)
==> (unfold sum)
sumdouble l = case l of
[] -> 0
x:xs -> 2*x + sum (double xs)
==> (fold sumdouble)
sumdouble l = case l of
[] -> 0
x:xs -> 2*x + sumdouble xs
(1994-11-03)