map f [x1, x2, ..., xn] == [f x1, f x2, ..., f xn] map f [x1, x2, ...] == [f x1, f x2, ...]this means that map id == id
>>> map (+1) [1, 2, 3] [2,3,4]
>>> map id [1, 2, 3] [1,2,3]
>>> map (\n -> 3 * n + 1) [1, 2, 3] [4,7,10]
>>> mapAccumL (\a b -> (a + b, a)) 0 [1..10] (55,[0,1,3,6,10,15,21,28,36,45])
>>> mapAccumL (\a b -> (a <> show b, a)) "0" [1..5]
("012345",["0","01","012","0123","01234"])
>>> mapAccumR (\a b -> (a + b, a)) 0 [1..10] (55,[54,52,49,45,40,34,27,19,10,0])
>>> mapAccumR (\a b -> (a <> show b, a)) "0" [1..5]
("054321",["05432","0543","054","05","0"])
>>> import GHC.Internal.Text.Read ( readMaybe ) >>> let readMaybeInt = readMaybe :: String -> Maybe Int >>> mapMaybe readMaybeInt ["1", "Foo", "3"] [1,3] >>> catMaybes $ map readMaybeInt ["1", "Foo", "3"] [1,3]If we map the Just constructor, the entire list should be returned:
>>> mapMaybe Just [1,2,3] [1,2,3]
>>> let expensiveDouble a = putStrLn ("Doubling " <> show a) >> pure (2 * a)
>>> :{
mapAccumM (\cache a -> case lookup a cache of
Nothing -> expensiveDouble a >>= \double -> pure ((a, double):cache, double)
Just double -> pure (cache, double)
) [] [1, 2, 3, 1, 2, 3]
:}
Doubling 1
Doubling 2
Doubling 3
([(3,6),(2,4),(1,2)],[2,4,6,2,4,6])
>>> ["1","2","3"] ^. mapping _Show :: [Int] [1,2,3] >>> ([1,2,3] :: [Int]) ^. from (mapping _Show) ["1","2","3"]This also hold across different functors:
>>> let l = mapping @[] @Maybe _Show >>> :t l l :: (Read b, Show b) => Iso [String] (Maybe String) [b] (Maybe b) >>> ["1","2","3"] & l %~ Just . sum Just "6"