Created
February 23, 2014 06:07
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Print the Sierpinski and Pascal triangle in Haskell
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instance Num a => Num [a] where -- (1) | |
(f:fs) + (g:gs) = f+g : fs+gs -- (2) | |
fs + [] = fs -- (3a) | |
[] + gs = gs -- (3b) | |
(f:fs) * (g:gs) = f*g : [f]*gs + fs*(g:gs) -- (4) | |
_ * _ = [] -- (5) | |
abs = undefined -- I can't think of a sensible definition | |
signum = map signum | |
fromInteger n = [fromInteger n] | |
negate = map (\x -> -x) | |
pascal = map ([1,1]^) [0..] | |
sierpinski = map (map (\a -> a `mod` 2)) pascal | |
printTri n t = zipWith (\a b -> a++show b) paddings t' | |
where t' = take n t | |
paddings = map (flip replicate ' ') offset | |
offset = map (maxwidth `div` 2 -) widths | |
widths = map (flip div 2.length.show) t' | |
maxwidth = length.show.last $ t' | |
-- todo: why is the offset still off? | |
printPascal = mapM_ (putStrLn.show) (printTri 20 pascal) | |
printSierpinski = mapM_ (putStrLn.show) (printTri 20 sierpinski) |
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