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set n to 12 -- Size of table.
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repeat with x from 0 to n
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if x = 0 then set {table, x} to {{return}, -1}
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repeat with y from 0 to n
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if y's contents = 0 then
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if x > 0 then set row to {f(x)}
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if x = -1 then set {row, x} to {{f("x")}, 1}
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else
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if y ≥ x then set end of row to f(x * y)
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if y < x then set end of row to f("")
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end if
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end repeat
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set end of table to row & return
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end repeat
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return table as string
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-- Handler/Function for formatting fixed width integer string.
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on f(x)
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set text item delimiters to ""
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return (characters -4 thru -1 of (" " & x)) as string
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end f
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@ -0,0 +1,183 @@
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------------------- MULTIPLICATION TABLE -----------------
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-- multiplicationTable :: Int -> Int -> String
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on multiplicationTable(lower, upper)
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tell ap(my tableText, my mulTable)
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|λ|(enumFromTo(lower, upper))
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end tell
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end multiplicationTable
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-- mulTable :: [Int]-> [[Int]]
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on mulTable(axis)
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script column
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on |λ|(x)
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script row
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on |λ|(y)
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if y < x then
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{}
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else
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{x * y}
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end if
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end |λ|
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end script
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{{x} & map(row, axis)}
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end |λ|
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end script
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concatMap(column, axis)
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end mulTable
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-- tableText :: [[Int]] -> String
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on tableText(axis, rows)
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set colWidth to 1 + (length of (|last|(|last|(rows)) as string))
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set cell to replicate(colWidth, space)
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script tableLine
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on |λ|(xys)
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script tableCell
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on |λ|(int)
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(characters (-colWidth) thru -1 of (cell & int)) as string
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end |λ|
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end script
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intercalate(space, map(tableCell, xys))
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end |λ|
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end script
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set legend to {{"x"} & axis}
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intercalate(linefeed, map(tableLine, legend & {{}} & rows))
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end tableText
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--------------------------- TEST -------------------------
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on run
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multiplicationTable(1, 12) & linefeed & linefeed & ¬
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multiplicationTable(30, 40)
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end run
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-------------------- GENERIC FUNCTIONS -------------------
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-- ap :: (a -> b -> c) -> (a -> b) -> a -> c
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on ap(f, g)
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-- The application of f x to g x
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script go
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property mf : |λ| of mReturn(f)
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property mg : |λ| of mReturn(g)
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on |λ|(x)
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mf(x, mg(x))
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end |λ|
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end script
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end ap
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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|(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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-- 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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-- 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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-- intercalate :: 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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-- justifyRight :: Int -> Char -> Text -> Text
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on justifyRight(n, cFiller, strText)
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if n > length of strText then
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text -n thru -1 of ((replicate(n, cFiller) as text) & strText)
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else
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strText
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end if
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end justifyRight
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-- last :: [a] -> a
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on |last|(xs)
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item -1 of xs
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end |last|
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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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-- replicate :: Int -> String -> String
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on replicate(n, s)
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set out to ""
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if n < 1 then return out
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set dbl to s
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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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