Haskell Quiz/PP Pascal/Solution Ltriant: Difference between revisions
< Haskell Quiz | PP Pascal
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[[Category: | [[Category:Haskell Quiz solutions|PP Pascal]] | ||
Basically it builds the list of Pascal's triangle, then spaces the integers out (by adding trailing spaces to each integer), then indents each line by adding spaces onto the head of each list, strips off any trailing spaces then prints it all out. | |||
<haskell> | <haskell> | ||
Line 8: | Line 8: | ||
import System.Environment ( getArgs ) | import System.Environment ( getArgs ) | ||
fac :: Integer -> Integer | |||
fac n = product [1..n] | fac n = product [1..n] | ||
nck :: Integer -> Integer -> Integer | |||
nck n k = (fac n) `div` ((fac $ n - k) * (fac k)) | nck n k = (fac n) `div` ((fac $ n - k) * (fac k)) | ||
rstrip :: Eq a => a -> [a] -> [a] | |||
rstrip n t = reverse $ dropWhile (== n) $ reverse t | |||
space_len :: Integer -> Integer | |||
space_len n = mylength $ show $ (n-1) `nck` ((n-1) `div` 2) | space_len n = mylength $ show $ (n-1) `nck` ((n-1) `div` 2) | ||
mylength :: [a] -> Integer | |||
mylength = toInteger . length | mylength = toInteger . length | ||
indent :: Integer -> [String] -> [String] | |||
indent n t = | indent n t = | ||
( | (replicate (fromInteger $ (n-p) * space_len n) ' '):t | ||
where p = mylength t | where p = mylength t | ||
space_out :: Integer -> [Integer] -> [String] | |||
space_out n t = | space_out n t = | ||
map (\x -> show x ++ ( | map (\x -> show x ++ (replicate (num_spaces x) ' ')) t | ||
where num_spaces x = fromInteger $ (2 * space_len n) - (mylength $ show x) | where num_spaces x = fromInteger $ (2 * space_len n) - (mylength $ show x) | ||
pp_pascal :: Integer -> [String] | |||
pp_pascal n = | pp_pascal n = | ||
map (concat . indent n . space_out n) $ f 0 n | map (rstrip ' ' . concat . indent n . space_out n) $ f 0 n | ||
where f acc n | acc == n = [] | where f acc n | acc == n = [] | ||
| otherwise = (map (nck acc) [0..acc]):(f (acc+1) n) | | otherwise = (map (nck acc) [0..acc]):(f (acc+1) n) | ||
main :: IO () | |||
main = | main = | ||
do args <- getArgs | do args <- getArgs | ||
case args of | case args of | ||
[v] -> mapM_ putStrLn $ pp_pascal | [v] -> mapM_ putStrLn $ pp_pascal $ read v | ||
_ -> error "No argument specified." | _ -> error "No argument specified." | ||
</haskell> | </haskell> |
Latest revision as of 10:52, 13 January 2007
Basically it builds the list of Pascal's triangle, then spaces the integers out (by adding trailing spaces to each integer), then indents each line by adding spaces onto the head of each list, strips off any trailing spaces then prints it all out.
module Main where
import System.Environment ( getArgs )
fac :: Integer -> Integer
fac n = product [1..n]
nck :: Integer -> Integer -> Integer
nck n k = (fac n) `div` ((fac $ n - k) * (fac k))
rstrip :: Eq a => a -> [a] -> [a]
rstrip n t = reverse $ dropWhile (== n) $ reverse t
space_len :: Integer -> Integer
space_len n = mylength $ show $ (n-1) `nck` ((n-1) `div` 2)
mylength :: [a] -> Integer
mylength = toInteger . length
indent :: Integer -> [String] -> [String]
indent n t =
(replicate (fromInteger $ (n-p) * space_len n) ' '):t
where p = mylength t
space_out :: Integer -> [Integer] -> [String]
space_out n t =
map (\x -> show x ++ (replicate (num_spaces x) ' ')) t
where num_spaces x = fromInteger $ (2 * space_len n) - (mylength $ show x)
pp_pascal :: Integer -> [String]
pp_pascal n =
map (rstrip ' ' . concat . indent n . space_out n) $ f 0 n
where f acc n | acc == n = []
| otherwise = (map (nck acc) [0..acc]):(f (acc+1) n)
main :: IO ()
main =
do args <- getArgs
case args of
[v] -> mapM_ putStrLn $ pp_pascal $ read v
_ -> error "No argument specified."