184 lines
4.5 KiB
AppleScript
184 lines
4.5 KiB
AppleScript
-- CHECK NESTING OF SQUARE BRACKET SEQUENCES ---------------------------------
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-- Zero-based index of the first problem (-1 if none found):
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-- imbalance :: String -> Integer
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on imbalance(strBrackets)
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script
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on errorIndex(xs, iDepth, iIndex)
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set lngChars to length of xs
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if lngChars > 0 then
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set iNext to iDepth + cond(item 1 of xs = "[", 1, -1)
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if iNext < 0 then -- closing bracket unmatched
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iIndex
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else
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if lngChars > 1 then -- continue recursively
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errorIndex(items 2 thru -1 of xs, iNext, iIndex + 1)
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else -- end of string
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cond(iNext = 0, -1, iIndex)
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end if
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end if
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else
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cond(iDepth = 0, -1, iIndex)
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end if
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end errorIndex
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end script
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result's errorIndex(characters of strBrackets, 0, 0)
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end imbalance
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-- TEST ----------------------------------------------------------------------
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-- Random bracket sequences for testing
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-- brackets :: Int -> String
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on randomBrackets(n)
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-- bracket :: () -> String
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script bracket
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on |λ|(_)
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cond((random number) < 0.5, "[", "]")
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end |λ|
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end script
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intercalate("", map(bracket, enumFromTo(1, n)))
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end randomBrackets
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on run
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set nPairs to 6
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-- report :: Int -> String
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script report
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property strPad : concat(replicate(nPairs * 2 + 4, space))
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on |λ|(n)
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set w to n * 2
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set s to randomBrackets(w)
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set i to imbalance(s)
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set blnOK to (i = -1)
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set strStatus to cond(blnOK, "OK", "problem")
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set strLine to "'" & s & "'" & ¬
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(items (w + 2) thru -1 of strPad) & strStatus
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set strPointer to cond(blnOK, ¬
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"", linefeed & concat(replicate(i + 1, space)) & "^")
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intercalate("", {strLine, strPointer})
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end |λ|
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end script
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linefeed & ¬
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intercalate(linefeed, ¬
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map(report, enumFromTo(1, nPairs))) & linefeed
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end run
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-- GENERIC FUNCTIONS ---------------------------------------------------------
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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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-- foldl :: (a -> b -> a) -> a -> [b] -> a
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on foldl(f, startValue, xs)
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tell mReturn(f)
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set v to startValue
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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 |λ|(v, item i of xs, i, xs)
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end repeat
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return v
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end tell
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end foldl
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-- Text -> [Text] -> Text
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on intercalate(strText, lstText)
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set {dlm, my text item delimiters} to {my text item delimiters, strText}
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set strJoined to lstText as text
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set my text item delimiters to dlm
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return strJoined
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end intercalate
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-- concat :: [[a]] -> [a] | [String] -> String
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on concat(xs)
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script append
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on |λ|(a, b)
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a & b
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end |λ|
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end script
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if length of xs > 0 and class of (item 1 of xs) is string then
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set empty to ""
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else
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set empty to {}
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end if
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foldl(append, empty, xs)
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end concat
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-- Egyptian multiplication - progressively doubling a list, appending
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-- stages of doubling to an accumulator where needed for binary
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-- assembly of a target length
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-- replicate :: Int -> a -> [a]
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on replicate(n, a)
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set out to {}
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if n < 1 then return out
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set dbl to {a}
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repeat while (n > 1)
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if (n mod 2) > 0 then set out to out & dbl
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set n to (n div 2)
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set dbl to (dbl & dbl)
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end repeat
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return out & dbl
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end replicate
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-- Value of one of two expressions
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-- cond :: Bool -> a -> b -> c
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on cond(bln, f, g)
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if bln then
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set e to f
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else
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set e to g
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end if
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if class of e is handler then
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mReturn(e)'s |λ|()
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else
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e
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end if
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end cond
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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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-- 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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