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-- Multiplikationstabelle
-- Gibt n*n Multiplikationstabelle zur Basis b zurück
import Text.Printf
import Data.List
import Data.Char
-- Gibt n*n Multiplikationstabelle zur Basis b zurück
mulTable :: Int -> Int -> String
mulTable n b = foldl (++) (verticalHeader n b w) (map (line n b w) [0..n])
where
lo = 2* (logBase (fromIntegral b) (fromIntegral n))
w = 1+fromInteger (floor lo)
verticalHeader :: Int -> Int -> Int -> String
verticalHeader n b w = (foldl (++) tableHeader columnHeaders)
++ "\n"
++ minusSignLine
++ "\n"
where
tableHeader = replicate (w+2) ' '
columnHeaders = map (horizontalHeader b w) [0..n]
minusSignLine = concat ( replicate ((w+1)* (n+2)) "-" )
horizontalHeader :: Int -> Int -> Int -> String
horizontalHeader b w i = format i b w
line :: Int -> Int -> Int -> Int -> String
line n b w y = (foldl (++) ((format y b w) ++ "|" )
(map (element b w y) [0..n])) ++ "\n"
element :: Int -> Int -> Int -> Int -> String
element b w y x = format (y * x) b w
toBase :: Int -> Int -> [Int]
toBase b v = toBase' [] v where
toBase' a 0 = a
toBase' a v = toBase' (r:a) q where (q,r) = v `divMod` b
toAlphaDigits :: [Int] -> String
toAlphaDigits = map convert where
convert n | n < 10 = chr (n + ord '0')
| otherwise = chr (n + ord 'a' - 10)
format :: Int -> Int -> Int -> String
format v b w = concat spaces ++ digits ++ " "
where
digits = if v == 0
then "0"
else toAlphaDigits ( toBase b v )
l = length digits
spaceCount = if (l > w) then 0 else (w-l)
spaces = replicate spaceCount " "