unordered-containers-0.2.7.2: Efficient hashing-based container types

Copyright | 2010-2012 Johan Tibell
License | BSD-style
Maintainer | johan.tibell@gmail.com
Stability | provisional
Portability | portable
Safe Haskell | Trustworthy
Language | Haskell98

Data.HashMap.Lazy

Contents

- Strictness properties
- Construction
- Basic interface
- Combine
  - Union
- Transformations
- Difference and intersection
- Folds
- Filter
- Conversions
  - Lists

Description

A map from hashable keys to values. A map cannot contain duplicate keys; each key can map to at most one value. A `HashMap` makes no guarantees as to the order of its elements.

The implementation is based on hash array mapped tries. A `HashMap` is often faster than other tree-based set types, especially when key comparison is expensive, as in the case of strings.

Many operations have a average-case complexity of O(log n). The implementation uses a large base (i.e. 16) so in practice these operations are constant time.

Synopsis

- data HashMap k v
- empty :: HashMap k v
- singleton :: Hashable k => k -> v -> HashMap k v
- null :: HashMap k v -> Bool
- size :: HashMap k v -> Int
- member :: (Eq k, Hashable k) => k -> HashMap k a -> Bool
- lookup :: (Eq k, Hashable k) => k -> HashMap k v -> Maybe v
- lookupDefault :: (Eq k, Hashable k) => v -> k -> HashMap k v -> v
- (!) :: (Eq k, Hashable k) => HashMap k v -> k -> v
- insert :: (Eq k, Hashable k) => k -> v -> HashMap k v -> HashMap k v
- insertWith :: (Eq k, Hashable k) => (v -> v -> v) -> k -> v -> HashMap k v -> HashMap k v
- delete :: (Eq k, Hashable k) => k -> HashMap k v -> HashMap k v
- adjust :: (Eq k, Hashable k) => (v -> v) -> k -> HashMap k v -> HashMap k v
- update :: (Eq k, Hashable k) => (a -> Maybe a) -> k -> HashMap k a -> HashMap k a
- alter :: (Eq k, Hashable k) => (Maybe v -> Maybe v) -> k -> HashMap k v -> HashMap k v
- union :: (Eq k, Hashable k) => HashMap k v -> HashMap k v -> HashMap k v
- unionWith :: (Eq k, Hashable k) => (v -> v -> v) -> HashMap k v -> HashMap k v -> HashMap k v
- unionWithKey :: (Eq k, Hashable k) => (k -> v -> v -> v) -> HashMap k v -> HashMap k v -> HashMap k v
- unions :: (Eq k, Hashable k) => [HashMap k v] -> HashMap k v
- map :: (v1 -> v2) -> HashMap k v1 -> HashMap k v2
- mapWithKey :: (k -> v1 -> v2) -> HashMap k v1 -> HashMap k v2
- traverseWithKey :: Applicative f => (k -> v1 -> f v2) -> HashMap k v1 -> f (HashMap k v2)
- difference :: (Eq k, Hashable k) => HashMap k v -> HashMap k w -> HashMap k v
- intersection :: (Eq k, Hashable k) => HashMap k v -> HashMap k w -> HashMap k v
- intersectionWith :: (Eq k, Hashable k) => (v1 -> v2 -> v3) -> HashMap k v1 -> HashMap k v2 -> HashMap k v3
- intersectionWithKey :: (Eq k, Hashable k) => (k -> v1 -> v2 -> v3) -> HashMap k v1 -> HashMap k v2 -> HashMap k v3
- foldl' :: (a -> v -> a) -> a -> HashMap k v -> a
- foldlWithKey' :: (a -> k -> v -> a) -> a -> HashMap k v -> a
- foldr :: (v -> a -> a) -> a -> HashMap k v -> a
- foldrWithKey :: (k -> v -> a -> a) -> a -> HashMap k v -> a
- filter :: (v -> Bool) -> HashMap k v -> HashMap k v
- filterWithKey :: forall k v. (k -> v -> Bool) -> HashMap k v -> HashMap k v
- mapMaybe :: (v1 -> Maybe v2) -> HashMap k v1 -> HashMap k v2
- mapMaybeWithKey :: (k -> v1 -> Maybe v2) -> HashMap k v1 -> HashMap k v2
- keys :: HashMap k v -> [k]
- elems :: HashMap k v -> [v]
- toList :: HashMap k v -> [(k, v)]
- fromList :: (Eq k, Hashable k) => [(k, v)] -> HashMap k v
- fromListWith :: (Eq k, Hashable k) => (v -> v -> v) -> [(k, v)] -> HashMap k v

# Strictness properties

This module satisfies the following strictness property:

- Key arguments are evaluated to WHNF

data HashMap k v #

A map from keys to values. A map cannot contain duplicate keys; each key can map to at most one value.

Instances

Functor (HashMap k) # |
Methods fmap :: (a -> b) -> HashMap k a -> HashMap k b # (<$) :: a -> HashMap k b -> HashMap k a #
Foldable (HashMap k) # |
Methods fold :: Monoid m => HashMap k m -> m # foldMap :: Monoid m => (a -> m) -> HashMap k a -> m # foldr :: (a -> b -> b) -> b -> HashMap k a -> b # foldr' :: (a -> b -> b) -> b -> HashMap k a -> b # foldl :: (b -> a -> b) -> b -> HashMap k a -> b # foldl' :: (b -> a -> b) -> b -> HashMap k a -> b # foldr1 :: (a -> a -> a) -> HashMap k a -> a # foldl1 :: (a -> a -> a) -> HashMap k a -> a # toList :: HashMap k a -> [a] # null :: HashMap k a -> Bool # length :: HashMap k a -> Int # elem :: Eq a => a -> HashMap k a -> Bool # maximum :: Ord a => HashMap k a -> a # minimum :: Ord a => HashMap k a -> a # sum :: Num a => HashMap k a -> a # product :: Num a => HashMap k a -> a #
Traversable (HashMap k) # |
Methods traverse :: Applicative f => (a -> f b) -> HashMap k a -> f (HashMap k b) # sequenceA :: Applicative f => HashMap k (f a) -> f (HashMap k a) # mapM :: Monad m => (a -> m b) -> HashMap k a -> m (HashMap k b) # sequence :: Monad m => HashMap k (m a) -> m (HashMap k a) #
(Eq k, Hashable k) => IsList (HashMap k v) # |
Associated Types type Item (HashMap k v) :: * # Methods fromList :: [Item (HashMap k v)] -> HashMap k v # fromListN :: Int -> [Item (HashMap k v)] -> HashMap k v # toList :: HashMap k v -> [Item (HashMap k v)] #
(Eq k, Eq v) => Eq (HashMap k v) # |
Methods (==) :: HashMap k v -> HashMap k v -> Bool # (/=) :: HashMap k v -> HashMap k v -> Bool #
(Data k, Data v, Eq k, Hashable k) => Data (HashMap k v) # |
Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> HashMap k v -> c (HashMap k v) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (HashMap k v) # toConstr :: HashMap k v -> Constr # dataTypeOf :: HashMap k v -> DataType # dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c (HashMap k v)) # dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (HashMap k v)) # gmapT :: (forall b. Data b => b -> b) -> HashMap k v -> HashMap k v # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r # gmapQ :: (forall d. Data d => d -> u) -> HashMap k v -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> HashMap k v -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) #
(Eq k, Hashable k, Read k, Read e) => Read (HashMap k e) # |
Methods readsPrec :: Int -> ReadS (HashMap k e) # readList :: ReadS [HashMap k e] # readPrec :: ReadPrec (HashMap k e) # readListPrec :: ReadPrec [HashMap k e] #
(Show k, Show v) => Show (HashMap k v) # |
Methods showsPrec :: Int -> HashMap k v -> ShowS # show :: HashMap k v -> String # showList :: [HashMap k v] -> ShowS #
(Eq k, Hashable k) => Semigroup (HashMap k v) # |
Methods (<>) :: HashMap k v -> HashMap k v -> HashMap k v # sconcat :: NonEmpty (HashMap k v) -> HashMap k v # stimes :: Integral b => b -> HashMap k v -> HashMap k v #
(Eq k, Hashable k) => Monoid (HashMap k v) # |
Methods mempty :: HashMap k v # mappend :: HashMap k v -> HashMap k v -> HashMap k v # mconcat :: [HashMap k v] -> HashMap k v #
(NFData k, NFData v) => NFData (HashMap k v) # |
Methods rnf :: HashMap k v -> () #
(Hashable k, Hashable v) => Hashable (HashMap k v) # |
Methods hashWithSalt :: Int -> HashMap k v -> Int # hash :: HashMap k v -> Int #
type Item (HashMap k v) # |
type Item (HashMap k v) = (k, v)

# Construction

empty :: HashMap k v #

O(1) Construct an empty map.

singleton :: Hashable k => k -> v -> HashMap k v #

O(1) Construct a map with a single element.

# Basic interface

null :: HashMap k v -> Bool #

O(1) Return `True` if this map is empty, `False` otherwise.

size :: HashMap k v -> Int #

O(n) Return the number of key-value mappings in this map.

member :: (Eq k, Hashable k) => k -> HashMap k a -> Bool #

O(log n) Return `True` if the specified key is present in the map, `False` otherwise.

lookup :: (Eq k, Hashable k) => k -> HashMap k v -> Maybe v #

O(log n) Return the value to which the specified key is mapped, or `Nothing` if this map contains no mapping for the key.

lookupDefault #

Arguments

:: (Eq k, Hashable k) |
=> v | Default value to return.
-> k |
-> HashMap k v |
-> v |

O(log n) Return the value to which the specified key is mapped, or the default value if this map contains no mapping for the key.

(!) :: (Eq k, Hashable k) => HashMap k v -> k -> v infixl 9 #

O(log n) Return the value to which the specified key is mapped. Calls `error` if this map contains no mapping for the key.

insert :: (Eq k, Hashable k) => k -> v -> HashMap k v -> HashMap k v #

O(log n) Associate the specified value with the specified key in this map. If this map previously contained a mapping for the key, the old value is replaced.

insertWith :: (Eq k, Hashable k) => (v -> v -> v) -> k -> v -> HashMap k v -> HashMap k v #

O(log n) Associate the value with the key in this map. If this map previously contained a mapping for the key, the old value is replaced by the result of applying the given function to the new and old value. Example:

    insertWith f k v map
      where f new old = new + old

delete :: (Eq k, Hashable k) => k -> HashMap k v -> HashMap k v #

O(log n) Remove the mapping for the specified key from this map if present.

adjust :: (Eq k, Hashable k) => (v -> v) -> k -> HashMap k v -> HashMap k v #

O(log n) Adjust the value tied to a given key in this map only if it is present. Otherwise, leave the map alone.

update :: (Eq k, Hashable k) => (a -> Maybe a) -> k -> HashMap k a -> HashMap k a #

O(log n) The expression (``update` f k map`) updates the value `x` at `k`, (if it is in the map). If (f k x) is ``Nothing`, the element is deleted. If it is (``Just` y), the key k is bound to the new value y.

alter :: (Eq k, Hashable k) => (Maybe v -> Maybe v) -> k -> HashMap k v -> HashMap k v #

O(log n) The expression (``alter` f k map`) alters the value `x` at `k`, or absence thereof. `alter` can be used to insert, delete, or update a value in a map. In short : ``lookup` k (`alter` f k m) = f (`lookup` k m)`.

# Combine

## Union

union :: (Eq k, Hashable k) => HashMap k v -> HashMap k v -> HashMap k v #

O(n+m) The union of two maps. If a key occurs in both maps, the mapping from the first will be the mapping in the result.

unionWith :: (Eq k, Hashable k) => (v -> v -> v) -> HashMap k v -> HashMap k v -> HashMap k v #

O(n+m) The union of two maps. If a key occurs in both maps, the provided function (first argument) will be used to compute the result.

unionWithKey :: (Eq k, Hashable k) => (k -> v -> v -> v) -> HashMap k v -> HashMap k v -> HashMap k v #

O(n+m) The union of two maps. If a key occurs in both maps, the provided function (first argument) will be used to compute the result.

unions :: (Eq k, Hashable k) => [HashMap k v] -> HashMap k v #

Construct a set containing all elements from a list of sets.

# Transformations

map :: (v1 -> v2) -> HashMap k v1 -> HashMap k v2 #

O(n) Transform this map by applying a function to every value.

mapWithKey :: (k -> v1 -> v2) -> HashMap k v1 -> HashMap k v2 #

O(n) Transform this map by applying a function to every value.

traverseWithKey :: Applicative f => (k -> v1 -> f v2) -> HashMap k v1 -> f (HashMap k v2) #

O(n) Transform this map by accumulating an Applicative result from every value.

# Difference and intersection

difference :: (Eq k, Hashable k) => HashMap k v -> HashMap k w -> HashMap k v #

O(n*log m) Difference of two maps. Return elements of the first map not existing in the second.

intersection :: (Eq k, Hashable k) => HashMap k v -> HashMap k w -> HashMap k v #

O(n*log m) Intersection of two maps. Return elements of the first map for keys existing in the second.

intersectionWith :: (Eq k, Hashable k) => (v1 -> v2 -> v3) -> HashMap k v1 -> HashMap k v2 -> HashMap k v3 #

O(n+m) Intersection of two maps. If a key occurs in both maps the provided function is used to combine the values from the two maps.

intersectionWithKey :: (Eq k, Hashable k) => (k -> v1 -> v2 -> v3) -> HashMap k v1 -> HashMap k v2 -> HashMap k v3 #

O(n+m) Intersection of two maps. If a key occurs in both maps the provided function is used to combine the values from the two maps.

# Folds

foldl' :: (a -> v -> a) -> a -> HashMap k v -> a #

O(n) Reduce this map by applying a binary operator to all elements, using the given starting value (typically the left-identity of the operator). Each application of the operator is evaluated before before using the result in the next application. This function is strict in the starting value.

foldlWithKey' :: (a -> k -> v -> a) -> a -> HashMap k v -> a #

O(n) Reduce this map by applying a binary operator to all elements, using the given starting value (typically the left-identity of the operator). Each application of the operator is evaluated before before using the result in the next application. This function is strict in the starting value.

foldr :: (v -> a -> a) -> a -> HashMap k v -> a #

O(n) Reduce this map by applying a binary operator to all elements, using the given starting value (typically the right-identity of the operator).

foldrWithKey :: (k -> v -> a -> a) -> a -> HashMap k v -> a #

O(n) Reduce this map by applying a binary operator to all elements, using the given starting value (typically the right-identity of the operator).

# Filter

filter :: (v -> Bool) -> HashMap k v -> HashMap k v #

O(n) Filter this map by retaining only elements which values satisfy a predicate.

filterWithKey :: forall k v. (k -> v -> Bool) -> HashMap k v -> HashMap k v #

O(n) Filter this map by retaining only elements satisfying a predicate.

mapMaybe :: (v1 -> Maybe v2) -> HashMap k v1 -> HashMap k v2 #

O(n) Transform this map by applying a function to every value and retaining only some of them.

mapMaybeWithKey :: (k -> v1 -> Maybe v2) -> HashMap k v1 -> HashMap k v2 #

O(n) Transform this map by applying a function to every value and retaining only some of them.

# Conversions

keys :: HashMap k v -> [k] #

O(n) Return a list of this map's keys. The list is produced lazily.

elems :: HashMap k v -> [v] #

O(n) Return a list of this map's values. The list is produced lazily.

## Lists

toList :: HashMap k v -> [(k, v)] #

O(n) Return a list of this map's elements. The list is produced lazily. The order of its elements is unspecified.

fromList :: (Eq k, Hashable k) => [(k, v)] -> HashMap k v #

O(n) Construct a map with the supplied mappings. If the list contains duplicate mappings, the later mappings take precedence.

fromListWith :: (Eq k, Hashable k) => (v -> v -> v) -> [(k, v)] -> HashMap k v #

O(n*log n) Construct a map from a list of elements. Uses the provided function to merge duplicate entries.