149 lines
3.0 KiB
AppleScript
149 lines
3.0 KiB
AppleScript
------------------------- BABBAGE ------------------------
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-- babbage :: Int -> [Int]
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on babbage(intTests)
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script test
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on toSquare(x)
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(1000000 * x) + 269696
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end toSquare
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on |λ|(x)
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hasIntRoot(toSquare(x))
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end |λ|
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end script
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script toRoot
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on |λ|(x)
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((1000000 * x) + 269696) ^ (1 / 2)
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end |λ|
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end script
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set xs to filter(test, enumFromTo(1, intTests))
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zip(map(toRoot, xs), map(test's toSquare, xs))
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end babbage
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--------------------------- TEST -------------------------
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on run
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-- Try 1000 candidates
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unlines(map(intercalate(" -> "), babbage(1000)))
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--> "2.5264E+4 -> 6.38269696E+8"
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end run
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-------------------- GENERIC FUNCTIONS -------------------
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-- enumFromTo :: Int -> Int -> [Int]
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on enumFromTo(m, n)
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if m > n then
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set d to -1
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else
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set d to 1
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end if
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set lst to {}
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repeat with i from m to n by d
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set end of lst to i
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end repeat
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return lst
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end enumFromTo
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-- filter :: (a -> Bool) -> [a] -> [a]
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on filter(f, xs)
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tell mReturn(f)
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set lst to {}
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set lng to length of xs
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repeat with i from 1 to lng
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set v to item i of xs
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if |λ|(v, i, xs) then set end of lst to v
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end repeat
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return lst
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end tell
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end filter
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-- hasIntRoot :: Int -> Bool
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on hasIntRoot(n)
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set r to n ^ 0.5
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r = (r as integer)
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end hasIntRoot
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-- intercalate :: String -> [String] -> String
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on intercalate(sep)
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script
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on |λ|(xs)
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set {dlm, my text item delimiters} to ¬
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{my text item delimiters, sep}
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set s to xs as text
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set my text item delimiters to dlm
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s
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end |λ|
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end script
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end intercalate
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-- map :: (a -> b) -> [a] -> [b]
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on map(f, xs)
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-- The list obtained by applying f
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-- to each element of xs.
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tell mReturn(f)
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set lng to length of xs
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set lst to {}
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repeat with i from 1 to lng
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set end of lst to |λ|(item i of xs, i, xs)
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end repeat
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return lst
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end tell
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end map
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-- min :: Ord a => a -> a -> a
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on min(x, y)
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if y < x then
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y
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else
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x
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end if
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end min
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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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-- unlines :: [String] -> String
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on unlines(xs)
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-- A single string formed by the intercalation
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-- of a list of strings with the newline character.
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set {dlm, my text item delimiters} to ¬
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{my text item delimiters, linefeed}
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set s to xs as text
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set my text item delimiters to dlm
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s
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end unlines
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-- zip :: [a] -> [b] -> [(a, b)]
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on zip(xs, ys)
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set lng to min(length of xs, length of ys)
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set lst to {}
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repeat with i from 1 to lng
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set end of lst to {item i of xs, item i of ys}
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end repeat
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return lst
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end zip
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