93 lines
2.2 KiB
AppleScript
93 lines
2.2 KiB
AppleScript
-- integerFactors :: Int -> [Int]
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on integerFactors(n)
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if n = 1 then
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{1}
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else
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set realRoot to n ^ (1 / 2)
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set intRoot to realRoot as integer
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set blnPerfectSquare to intRoot = realRoot
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-- isFactor :: Int -> Bool
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script isFactor
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on |λ|(x)
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(n mod x) = 0
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end |λ|
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end script
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-- Factors up to square root of n,
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set lows to filter(isFactor, enumFromTo(1, intRoot))
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-- integerQuotient :: Int -> Int
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script integerQuotient
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on |λ|(x)
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(n / x) as integer
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end |λ|
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end script
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-- and quotients of these factors beyond the square root.
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lows & map(integerQuotient, ¬
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items (1 + (blnPerfectSquare as integer)) thru -1 of reverse of lows)
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end if
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end integerFactors
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-- TEST ------------------------------------------------------------------------
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on run
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integerFactors(120)
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--> {1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120}
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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 n < m 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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-- map :: (a -> b) -> [a] -> [b]
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on map(f, 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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-- 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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