(simple example of reader monad)
Revision as of 05:53, 25 October 2011
(*) Find out whether a list is a palindrome. A palindrome can be read forward or backward; e.g. (x a m a x).
isPalindrome :: (Eq a) => [a] -> Bool isPalindrome xs = xs == (reverse xs)
isPalindrome'  = True isPalindrome' [_] = True isPalindrome' xs = (head xs) == (last xs) && (isPalindrome' $ init $ tail xs)
Here's one to show it done in a fold just for the fun of it. Do note that it is less efficient then the previous 2 though.
isPalindrome'' :: (Eq a) => [a] -> Bool isPalindrome'' xs = foldl (\acc (a,b) -> if a == b then acc else False) True input where input = zip xs (reverse xs)
Another one just for fun:
isPalindrome''' :: (Eq a) => [a] -> Bool isPalindrome''' = Control.Monad.liftM2 (==) id reverse
Here's one that does half as many compares:
palindrome :: (Eq a) => [a] -> Bool palindrome xs = p  xs xs where p rev (x:xs) (_:_:ys) = p (x:rev) xs ys p rev (x:xs) [_] = rev == xs p rev xs  = rev == xs
Here's one using foldr and zipWith.
palindrome :: (Eq a) => [a] -> Bool palidrome xs = foldr (&&) True $ zipWith (==) xs (reverse xs)