99 questions/Solutions/8

(**) Eliminate consecutive duplicates of list elements.

compress :: Eq a => [a] -> [a]
compress = map head . group

We simply group equal values together (using Data.List.group), then take the head of each. Note that (with GHC) we must give an explicit type to compress otherwise we get:

Ambiguous type variable `a' in the constraint:
      `Eq a'
	arising from use of `group'	
    Possible cause: the monomorphism restriction applied to the following:
      compress :: [a] -> [a]
    Probable fix: give these definition(s) an explicit type signature
		  or use -fno-monomorphism-restriction

We can circumvent the monomorphism restriction by writing compress this way (See: section 4.5.4 of the report):

compress xs = map head $ group xs

An alternative solution is

compress (x:ys@(y:_))
    | x == y    = compress ys
    | otherwise = x : compress ys
compress ys = ys

A variation of the above using foldr (note that GHC erases the Maybes, producing efficient code):

compress xs = foldr f (const []) xs Nothing
  where
    f x r a@(Just q) | x == q = r a
    f x r _ = x : r (Just x)

Another possibility using foldr (this one is not so efficient, because it pushes the whole input onto the "stack" before doing anything else):

compress :: (Eq a) => [a] -> [a]
compress = foldr skipDups []
    where skipDups x [] = [x]
          skipDups x acc
                | x == head acc = acc
                | otherwise = x : acc

A very simple approach:

compress []     = []
compress (x:xs) = x : (compress $ dropWhile (== x) xs)

Another approach, using foldr

compress :: Eq a => [a] -> [a]
compress x = foldr (\a b -> if a == (head b) then b else a:b) [last x] x

Wrong solution using foldr

compress :: Eq a => [a] -> [a]
compress xs = foldr (\x acc -> if x `elem` acc then acc else x:acc) [] xs
-- Main> compress [1, 1, 1, 2, 2, 1, 1]
-- [2,1] - must be [1,2,1]

and using foldl

compress :: (Eq a) => [a] -> [a]
compress x = foldl (\a b -> if (last a) == b then a else a ++ [b]) [head x] x
compress' x = reverse $ foldl (\a b -> if (head a) == b then a else b:a) [head x] x

A crazy variation that acts as a good transformer for fold/build fusion

{-# INLINE compress #-}
compress :: Eq a => [a] -> [a]
compress xs = build (\c n ->
  let
    f x r a@(Just q) | x == q = r a
    f x r _ = x `c` r (Just x)
  in
    foldr f (const n) xs Nothing)