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Within LTS Haskell 24.18 (ghc-9.10.3)

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  1. mapEitherWithKey :: (Key -> a -> Either b c) -> IntMap a -> (IntMap b, IntMap c)

    containers Data.IntMap.Lazy

    Map keys/values and separate the Left and Right results.

    let f k a = if k < 5 then Left (k * 2) else Right (a ++ a)
    mapEitherWithKey f (fromList [(5,"a"), (3,"b"), (1,"x"), (7,"z")])
    == (fromList [(1,2), (3,6)], fromList [(5,"aa"), (7,"zz")])
    
    mapEitherWithKey (\_ a -> Right a) (fromList [(5,"a"), (3,"b"), (1,"x"), (7,"z")])
    == (empty, fromList [(1,"x"), (3,"b"), (5,"a"), (7,"z")])
    

  2. mapKeys :: (Key -> Key) -> IntMap a -> IntMap a

    containers Data.IntMap.Lazy

    mapKeys f s is the map obtained by applying f to each key of s. The size of the result may be smaller if f maps two or more distinct keys to the same new key. In this case the value at the greatest of the original keys is retained.

    mapKeys (+ 1) (fromList [(5,"a"), (3,"b")])                        == fromList [(4, "b"), (6, "a")]
    mapKeys (\ _ -> 1) (fromList [(1,"b"), (2,"a"), (3,"d"), (4,"c")]) == singleton 1 "c"
    mapKeys (\ _ -> 3) (fromList [(1,"b"), (2,"a"), (3,"d"), (4,"c")]) == singleton 3 "c"
    

  3. mapKeysMonotonic :: (Key -> Key) -> IntMap a -> IntMap a

    containers Data.IntMap.Lazy

    mapKeysMonotonic f s == mapKeys f s, but works only when f is strictly monotonic. That is, for any values x and y, if x < y then f x < f y. The precondition is not checked. Semi-formally, we have:

    and [x < y ==> f x < f y | x <- ls, y <- ls]
    ==> mapKeysMonotonic f s == mapKeys f s
    where ls = keys s
    
    This means that f maps distinct original keys to distinct resulting keys. This function has slightly better performance than mapKeys.
    mapKeysMonotonic (\ k -> k * 2) (fromList [(5,"a"), (3,"b")]) == fromList [(6, "b"), (10, "a")]
    

  4. mapKeysWith :: (a -> a -> a) -> (Key -> Key) -> IntMap a -> IntMap a

    containers Data.IntMap.Lazy

    mapKeysWith c f s is the map obtained by applying f to each key of s. The size of the result may be smaller if f maps two or more distinct keys to the same new key. In this case the associated values will be combined using c.

    mapKeysWith (++) (\ _ -> 1) (fromList [(1,"b"), (2,"a"), (3,"d"), (4,"c")]) == singleton 1 "cdab"
    mapKeysWith (++) (\ _ -> 3) (fromList [(1,"b"), (2,"a"), (3,"d"), (4,"c")]) == singleton 3 "cdab"
    
    Also see the performance note on fromListWith.

  5. mapMaybe :: (a -> Maybe b) -> IntMap a -> IntMap b

    containers Data.IntMap.Lazy

    Map values and collect the Just results.

    let f x = if x == "a" then Just "new a" else Nothing
    mapMaybe f (fromList [(5,"a"), (3,"b")]) == singleton 5 "new a"
    

  6. mapMaybeWithKey :: (Key -> a -> Maybe b) -> IntMap a -> IntMap b

    containers Data.IntMap.Lazy

    Map keys/values and collect the Just results.

    let f k _ = if k < 5 then Just ("key : " ++ (show k)) else Nothing
    mapMaybeWithKey f (fromList [(5,"a"), (3,"b")]) == singleton 3 "key : 3"
    

  7. mapWithKey :: (Key -> a -> b) -> IntMap a -> IntMap b

    containers Data.IntMap.Lazy

    Map a function over all values in the map.

    let f key x = (show key) ++ ":" ++ x
    mapWithKey f (fromList [(5,"a"), (3,"b")]) == fromList [(3, "3:b"), (5, "5:a")]
    

  8. mapMaybeMissing :: forall (f :: Type -> Type) x y . Applicative f => (Key -> x -> Maybe y) -> WhenMissing f x y

    containers Data.IntMap.Merge.Lazy

    Map over the entries whose keys are missing from the other map, optionally removing some. This is the most powerful SimpleWhenMissing tactic, but others are usually more efficient.

    mapMaybeMissing :: (Key -> x -> Maybe y) -> SimpleWhenMissing x y
    
    mapMaybeMissing f = traverseMaybeMissing (\k x -> pure (f k x))
    
    but mapMaybeMissing uses fewer unnecessary Applicative operations.

  9. mapMissing :: forall (f :: Type -> Type) x y . Applicative f => (Key -> x -> y) -> WhenMissing f x y

    containers Data.IntMap.Merge.Lazy

    Map over the entries whose keys are missing from the other map.

    mapMissing :: (k -> x -> y) -> SimpleWhenMissing x y
    
    mapMissing f = mapMaybeMissing (\k x -> Just $ f k x)
    
    but mapMissing is somewhat faster.

  10. mapWhenMatched :: forall (f :: Type -> Type) a b x y . Functor f => (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b

    containers Data.IntMap.Merge.Lazy

    Map covariantly over a WhenMatched f x y.

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