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Task/Permutations/AppleScript/permutations-1.applescript
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87
Task/Permutations/AppleScript/permutations-1.applescript
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----------------------- PERMUTATIONS -----------------------
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-- permutations :: [a] -> [[a]]
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on permutations(xs)
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script go
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on |λ|(xs)
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script h
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on |λ|(x)
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script ts
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on |λ|(ys)
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{{x} & ys}
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end |λ|
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end script
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concatMap(ts, go's |λ|(|delete|(x, xs)))
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end |λ|
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end script
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if {} ≠ xs then
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concatMap(h, xs)
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else
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{{}}
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end if
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end |λ|
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end script
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go's |λ|(xs)
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end permutations
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--------------------------- TEST ---------------------------
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on run
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permutations({"aardvarks", "eat", "ants"})
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end run
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-------------------- GENERIC FUNCTIONS ---------------------
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-- concatMap :: (a -> [b]) -> [a] -> [b]
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on concatMap(f, xs)
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set lst to {}
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set lng to length of xs
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tell mReturn(f)
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repeat with i from 1 to lng
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set lst to (lst & |λ|(contents of item i of xs, i, xs))
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end repeat
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end tell
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return lst
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end concatMap
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-- delete :: a -> [a] -> [a]
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on |delete|(x, xs)
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if length of xs > 0 then
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set {h, t} to uncons(xs)
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if x = h then
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t
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else
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{h} & |delete|(x, t)
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end if
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else
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{}
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end if
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end |delete|
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-- Lift 2nd class handler function into 1st class script wrapper
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-- mReturn :: Handler -> Script
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on mReturn(f)
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if class of f is script then
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f
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else
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script
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property |λ| : f
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end script
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end if
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end mReturn
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-- uncons :: [a] -> Maybe (a, [a])
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on uncons(xs)
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if length of xs > 0 then
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{item 1 of xs, rest of xs}
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else
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missing value
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end if
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end uncons
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