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# - AXI0039.als                                                             -
# - afnix engine test module                                                -
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# - copyright (c) 1999-2007 amaury darsch                                   -
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# @info   y combinator test module
# @author amaury darsch

# factorial - as a combinator - barely readable
const c-fact (f) {
  gamma (n) (f) (if (== n 1) 1 (* n (f (- n 1))))
}

# the Y combinator
const Y (f) ((gamma (g) (f) (f (gamma (x) (g) ((g g) x))))
             (gamma (g) (f) (f (gamma (x) (g) ((g g) x)))))

# let do the math
assert 120 ((Y c-fact) 5)