# 99 questions/Solutions/19

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where | where | ||

nn = n `mod` length xs | nn = n `mod` length xs | ||

+ | </haskell> | ||

+ | |||

+ | Using a simple splitAt trick | ||

+ | <haskell> | ||

+ | rotate xs n | ||

+ | | n < 0 = rotate xs (n+len) | ||

+ | | n > len = rotate xs (n-len) | ||

+ | | otherwise = let (f,s) = splitAt n xs in s ++ f | ||

+ | where len = length xs | ||

</haskell> | </haskell> |

## Revision as of 04:54, 20 November 2010

(**) Rotate a list N places to the left.

Hint: Use the predefined functions length and (++).

rotate [] _ = [] rotate l 0 = l rotate (x:xs) (n+1) = rotate (xs ++ [x]) n rotate l n = rotate l (length l + n)

There are two separate cases:

- If n > 0, move the first element to the end of the list n times.
- If n < 0, convert the problem to the equivalent problem for n > 0 by adding the list's length to n.

or using cycle:

rotate xs n = take len . drop (n `mod` len) . cycle $ xs where len = length xs

or

rotate xs n = if n >= 0 then drop n xs ++ take n xs else let l = ((length xs) + n) in drop l xs ++ take l xs

or

rotate xs n = drop nn xs ++ take nn xs where nn = n `mod` length xs

Using a simple splitAt trick

rotate xs n | n < 0 = rotate xs (n+len) | n > len = rotate xs (n-len) | otherwise = let (f,s) = splitAt n xs in s ++ f where len = length xs