Data.IntMap (original) (raw)

Map type

Operators

O(min(n,W)). Find the value at a key. Calls [error](/packages/archive/base/4.3.0.0/doc/html/Prelude.html#v:error) when the element can not be found.

fromList [(5,'a'), (3,'b')] ! 1 Error: element not in the map fromList [(5,'a'), (3,'b')] ! 5 == 'a'

Query

null :: IntMap a -> Bool Source

O(1). Is the map empty?

Data.IntMap.null (empty) == True Data.IntMap.null (singleton 1 'a') == False

size :: IntMap a -> Int Source

O(n). Number of elements in the map.

size empty == 0 size (singleton 1 'a') == 1 size (fromList([(1,'a'), (2,'c'), (3,'b')])) == 3

member :: Key -> IntMap a -> Bool Source

O(min(n,W)). Is the key a member of the map?

member 5 (fromList [(5,'a'), (3,'b')]) == True member 1 (fromList [(5,'a'), (3,'b')]) == False

notMember :: Key -> IntMap a -> Bool Source

O(log n). Is the key not a member of the map?

notMember 5 (fromList [(5,'a'), (3,'b')]) == False notMember 1 (fromList [(5,'a'), (3,'b')]) == True

findWithDefault :: a -> Key -> IntMap a -> aSource

O(min(n,W)). The expression (`[findWithDefault](Data-IntMap.html#v:findWithDefault)` def k map) returns the value at key k or returns def when the key is not an element of the map.

findWithDefault 'x' 1 (fromList [(5,'a'), (3,'b')]) == 'x' findWithDefault 'x' 5 (fromList [(5,'a'), (3,'b')]) == 'a'

Construction

singleton :: Key -> a -> IntMap aSource

O(1). A map of one element.

singleton 1 'a' == fromList [(1, 'a')] size (singleton 1 'a') == 1

Insertion

insert :: Key -> a -> IntMap a -> IntMap aSource

O(min(n,W)). Insert a new key/value pair in the map. If the key is already present in the map, the associated value is replaced with the supplied value, i.e. [insert](Data-IntMap.html#v:insert) is equivalent to`[insertWith](Data-IntMap.html#v:insertWith)` `[const](/packages/archive/base/4.3.0.0/doc/html/Prelude.html#v:const)`.

insert 5 'x' (fromList [(5,'a'), (3,'b')]) == fromList [(3, 'b'), (5, 'x')] insert 7 'x' (fromList [(5,'a'), (3,'b')]) == fromList [(3, 'b'), (5, 'a'), (7, 'x')] insert 5 'x' empty == singleton 5 'x'

insertWith :: (a -> a -> a) -> Key -> a -> IntMap a -> IntMap aSource

O(min(n,W)). Insert with a combining function.`[insertWith](Data-IntMap.html#v:insertWith)` f key value mp will insert the pair (key, value) into mp if key does not exist in the map. If the key does exist, the function will insert f new_value old_value.

insertWith (++) 5 "xxx" (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "xxxa")] insertWith (++) 7 "xxx" (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "a"), (7, "xxx")] insertWith (++) 5 "xxx" empty == singleton 5 "xxx"

insertWithKey :: (Key -> a -> a -> a) -> Key -> a -> IntMap a -> IntMap aSource

O(min(n,W)). Insert with a combining function.`[insertWithKey](Data-IntMap.html#v:insertWithKey)` f key value mp will insert the pair (key, value) into mp if key does not exist in the map. If the key does exist, the function will insert f key new_value old_value.

let f key new_value old_value = (show key) ++ ":" ++ new_value ++ "|" ++ old_value insertWithKey f 5 "xxx" (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "5:xxx|a")] insertWithKey f 7 "xxx" (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "a"), (7, "xxx")] insertWithKey f 5 "xxx" empty == singleton 5 "xxx"

insertLookupWithKey :: (Key -> a -> a -> a) -> Key -> a -> IntMap a -> (Maybe a, IntMap a)Source

O(min(n,W)). The expression (`[insertLookupWithKey](Data-IntMap.html#v:insertLookupWithKey)` f k x map) is a pair where the first element is equal to (`[lookup](Data-IntMap.html#v:lookup)` k map) and the second element equal to (`[insertWithKey](Data-IntMap.html#v:insertWithKey)` f k x map).

let f key new_value old_value = (show key) ++ ":" ++ new_value ++ "|" ++ old_value insertLookupWithKey f 5 "xxx" (fromList [(5,"a"), (3,"b")]) == (Just "a", fromList [(3, "b"), (5, "5:xxx|a")]) insertLookupWithKey f 7 "xxx" (fromList [(5,"a"), (3,"b")]) == (Nothing, fromList [(3, "b"), (5, "a"), (7, "xxx")]) insertLookupWithKey f 5 "xxx" empty == (Nothing, singleton 5 "xxx")

This is how to define insertLookup using insertLookupWithKey:

let insertLookup kx x t = insertLookupWithKey (_ a _ -> a) kx x t insertLookup 5 "x" (fromList [(5,"a"), (3,"b")]) == (Just "a", fromList [(3, "b"), (5, "x")]) insertLookup 7 "x" (fromList [(5,"a"), (3,"b")]) == (Nothing, fromList [(3, "b"), (5, "a"), (7, "x")])

Delete/Update

delete :: Key -> IntMap a -> IntMap aSource

O(min(n,W)). Delete a key and its value from the map. When the key is not a member of the map, the original map is returned.

delete 5 (fromList [(5,"a"), (3,"b")]) == singleton 3 "b" delete 7 (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "a")] delete 5 empty == empty

adjust :: (a -> a) -> Key -> IntMap a -> IntMap aSource

O(min(n,W)). Adjust a value at a specific key. When the key is not a member of the map, the original map is returned.

adjust ("new " ++) 5 (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "new a")] adjust ("new " ++) 7 (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "a")] adjust ("new " ++) 7 empty == empty

adjustWithKey :: (Key -> a -> a) -> Key -> IntMap a -> IntMap aSource

O(min(n,W)). Adjust a value at a specific key. When the key is not a member of the map, the original map is returned.

let f key x = (show key) ++ ":new " ++ x adjustWithKey f 5 (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "5:new a")] adjustWithKey f 7 (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "a")] adjustWithKey f 7 empty == empty

update :: (a -> Maybe a) -> Key -> IntMap a -> IntMap aSource

O(min(n,W)). The expression (`[update](Data-IntMap.html#v:update)` f k map) updates the value x at k (if it is in the map). If (f x) is [Nothing](/packages/archive/base/4.3.0.0/doc/html/Data-Maybe.html#v:Nothing), the element is deleted. If it is (`[Just](/packages/archive/base/4.3.0.0/doc/html/Data-Maybe.html#v:Just)` y), the key k is bound to the new value y.

let f x = if x == "a" then Just "new a" else Nothing update f 5 (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "new a")] update f 7 (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "a")] update f 3 (fromList [(5,"a"), (3,"b")]) == singleton 5 "a"

updateWithKey :: (Key -> a -> Maybe a) -> Key -> IntMap a -> IntMap aSource

O(min(n,W)). The expression (`[update](Data-IntMap.html#v:update)` f k map) updates the value x at k (if it is in the map). If (f k x) is [Nothing](/packages/archive/base/4.3.0.0/doc/html/Data-Maybe.html#v:Nothing), the element is deleted. If it is (`[Just](/packages/archive/base/4.3.0.0/doc/html/Data-Maybe.html#v:Just)` y), the key k is bound to the new value y.

let f k x = if x == "a" then Just ((show k) ++ ":new a") else Nothing updateWithKey f 5 (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "5:new a")] updateWithKey f 7 (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "a")] updateWithKey f 3 (fromList [(5,"a"), (3,"b")]) == singleton 5 "a"

updateLookupWithKey :: (Key -> a -> Maybe a) -> Key -> IntMap a -> (Maybe a, IntMap a)Source

O(min(n,W)). Lookup and update. The function returns original value, if it is updated. This is different behavior than Data.Map.updateLookupWithKey. Returns the original key value if the map entry is deleted.

let f k x = if x == "a" then Just ((show k) ++ ":new a") else Nothing updateLookupWithKey f 5 (fromList [(5,"a"), (3,"b")]) == (Just "a", fromList [(3, "b"), (5, "5:new a")]) updateLookupWithKey f 7 (fromList [(5,"a"), (3,"b")]) == (Nothing, fromList [(3, "b"), (5, "a")]) updateLookupWithKey f 3 (fromList [(5,"a"), (3,"b")]) == (Just "b", singleton 5 "a")

Combine

Union

union :: IntMap a -> IntMap a -> IntMap aSource

O(n+m). The (left-biased) union of two maps. It prefers the first map when duplicate keys are encountered, i.e. (`[union](Data-IntMap.html#v:union)` == `[unionWith](Data-IntMap.html#v:unionWith)` `[const](/packages/archive/base/4.3.0.0/doc/html/Prelude.html#v:const)`).

union (fromList [(5, "a"), (3, "b")]) (fromList [(5, "A"), (7, "C")]) == fromList [(3, "b"), (5, "a"), (7, "C")]

unionWith :: (a -> a -> a) -> IntMap a -> IntMap a -> IntMap aSource

O(n+m). The union with a combining function.

unionWith (++) (fromList [(5, "a"), (3, "b")]) (fromList [(5, "A"), (7, "C")]) == fromList [(3, "b"), (5, "aA"), (7, "C")]

unionWithKey :: (Key -> a -> a -> a) -> IntMap a -> IntMap a -> IntMap aSource

O(n+m). The union with a combining function.

let f key left_value right_value = (show key) ++ ":" ++ left_value ++ "|" ++ right_value unionWithKey f (fromList [(5, "a"), (3, "b")]) (fromList [(5, "A"), (7, "C")]) == fromList [(3, "b"), (5, "5:a|A"), (7, "C")]

unions :: [IntMap a] -> IntMap aSource

The union of a list of maps.

unions [(fromList [(5, "a"), (3, "b")]), (fromList [(5, "A"), (7, "C")]), (fromList [(5, "A3"), (3, "B3")])] == fromList [(3, "b"), (5, "a"), (7, "C")] unions [(fromList [(5, "A3"), (3, "B3")]), (fromList [(5, "A"), (7, "C")]), (fromList [(5, "a"), (3, "b")])] == fromList [(3, "B3"), (5, "A3"), (7, "C")]

unionsWith :: (a -> a -> a) -> [IntMap a] -> IntMap aSource

The union of a list of maps, with a combining operation.

unionsWith (++) [(fromList [(5, "a"), (3, "b")]), (fromList [(5, "A"), (7, "C")]), (fromList [(5, "A3"), (3, "B3")])] == fromList [(3, "bB3"), (5, "aAA3"), (7, "C")]

Difference

difference :: IntMap a -> IntMap b -> IntMap aSource

O(n+m). Difference between two maps (based on keys).

difference (fromList [(5, "a"), (3, "b")]) (fromList [(5, "A"), (7, "C")]) == singleton 3 "b"

differenceWith :: (a -> b -> Maybe a) -> IntMap a -> IntMap b -> IntMap aSource

O(n+m). Difference with a combining function.

let f al ar = if al == "b" then Just (al ++ ":" ++ ar) else Nothing differenceWith f (fromList [(5, "a"), (3, "b")]) (fromList [(5, "A"), (3, "B"), (7, "C")]) == singleton 3 "b:B"

differenceWithKey :: (Key -> a -> b -> Maybe a) -> IntMap a -> IntMap b -> IntMap aSource

O(n+m). Difference with a combining function. When two equal keys are encountered, the combining function is applied to the key and both values. If it returns [Nothing](/packages/archive/base/4.3.0.0/doc/html/Data-Maybe.html#v:Nothing), the element is discarded (proper set difference). If it returns (`[Just](/packages/archive/base/4.3.0.0/doc/html/Data-Maybe.html#v:Just)` y), the element is updated with a new value y.

let f k al ar = if al == "b" then Just ((show k) ++ ":" ++ al ++ "|" ++ ar) else Nothing differenceWithKey f (fromList [(5, "a"), (3, "b")]) (fromList [(5, "A"), (3, "B"), (10, "C")]) == singleton 3 "3:b|B"

Intersection

intersection :: IntMap a -> IntMap b -> IntMap aSource

O(n+m). The (left-biased) intersection of two maps (based on keys).

intersection (fromList [(5, "a"), (3, "b")]) (fromList [(5, "A"), (7, "C")]) == singleton 5 "a"

intersectionWith :: (a -> b -> a) -> IntMap a -> IntMap b -> IntMap aSource

O(n+m). The intersection with a combining function.

intersectionWith (++) (fromList [(5, "a"), (3, "b")]) (fromList [(5, "A"), (7, "C")]) == singleton 5 "aA"

intersectionWithKey :: (Key -> a -> b -> a) -> IntMap a -> IntMap b -> IntMap aSource

O(n+m). The intersection with a combining function.

let f k al ar = (show k) ++ ":" ++ al ++ "|" ++ ar intersectionWithKey f (fromList [(5, "a"), (3, "b")]) (fromList [(5, "A"), (7, "C")]) == singleton 5 "5:a|A"

Traversal

Map

map :: (a -> b) -> IntMap a -> IntMap bSource

O(n). Map a function over all values in the map.

map (++ "x") (fromList [(5,"a"), (3,"b")]) == fromList [(3, "bx"), (5, "ax")]

mapWithKey :: (Key -> a -> b) -> IntMap a -> IntMap bSource

O(n). 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")]

mapAccum :: (a -> b -> (a, c)) -> a -> IntMap b -> (a, IntMap c)Source

O(n). The function `[mapAccum](Data-IntMap.html#v:mapAccum)` threads an accumulating argument through the map in ascending order of keys.

let f a b = (a ++ b, b ++ "X") mapAccum f "Everything: " (fromList [(5,"a"), (3,"b")]) == ("Everything: ba", fromList [(3, "bX"), (5, "aX")])

mapAccumWithKey :: (a -> Key -> b -> (a, c)) -> a -> IntMap b -> (a, IntMap c)Source

O(n). The function `[mapAccumWithKey](Data-IntMap.html#v:mapAccumWithKey)` threads an accumulating argument through the map in ascending order of keys.

let f a k b = (a ++ " " ++ (show k) ++ "-" ++ b, b ++ "X") mapAccumWithKey f "Everything:" (fromList [(5,"a"), (3,"b")]) == ("Everything: 3-b 5-a", fromList [(3, "bX"), (5, "aX")])

Fold

fold :: (a -> b -> b) -> b -> IntMap a -> bSource

O(n). Fold the values in the map, such that`[fold](Data-IntMap.html#v:fold)` f z == `Prelude.foldr` f z . `[elems](Data-IntMap.html#v:elems)`. For example,

elems map = fold (:) [] map

let f a len = len + (length a) fold f 0 (fromList [(5,"a"), (3,"bbb")]) == 4

foldWithKey :: (Key -> a -> b -> b) -> b -> IntMap a -> bSource

O(n). Fold the keys and values in the map, such that`[foldWithKey](Data-IntMap.html#v:foldWithKey)` f z == `Prelude.foldr` (`[uncurry](/packages/archive/base/4.3.0.0/doc/html/Data-Tuple.html#v:uncurry)` f) z . `[toAscList](Data-IntMap.html#v:toAscList)`. For example,

keys map = foldWithKey (\k x ks -> k:ks) [] map

let f k a result = result ++ "(" ++ (show k) ++ ":" ++ a ++ ")" foldWithKey f "Map: " (fromList [(5,"a"), (3,"b")]) == "Map: (5:a)(3:b)"

Conversion

elems :: IntMap a -> [a]Source

O(n). Return all elements of the map in the ascending order of their keys.

elems (fromList [(5,"a"), (3,"b")]) == ["b","a"] elems empty == []

keys :: IntMap a -> [Key]Source

O(n). Return all keys of the map in ascending order.

keys (fromList [(5,"a"), (3,"b")]) == [3,5] keys empty == []

keysSet :: IntMap a -> IntSet Source

O(n*min(n,W)). The set of all keys of the map.

keysSet (fromList [(5,"a"), (3,"b")]) == Data.IntSet.fromList [3,5] keysSet empty == Data.IntSet.empty

assocs :: IntMap a -> [(Key, a)]Source

O(n). Return all key/value pairs in the map in ascending key order.

assocs (fromList [(5,"a"), (3,"b")]) == [(3,"b"), (5,"a")] assocs empty == []

Lists

toList :: IntMap a -> [(Key, a)]Source

O(n). Convert the map to a list of key/value pairs.

toList (fromList [(5,"a"), (3,"b")]) == [(3,"b"), (5,"a")] toList empty == []

fromList :: [(Key, a)] -> IntMap aSource

O(n*min(n,W)). Create a map from a list of key/value pairs.

fromList [] == empty fromList [(5,"a"), (3,"b"), (5, "c")] == fromList [(5,"c"), (3,"b")] fromList [(5,"c"), (3,"b"), (5, "a")] == fromList [(5,"a"), (3,"b")]

fromListWith :: (a -> a -> a) -> [(Key, a)] -> IntMap aSource

O(n*min(n,W)). Create a map from a list of key/value pairs with a combining function. See also [fromAscListWith](Data-IntMap.html#v:fromAscListWith).

fromListWith (++) [(5,"a"), (5,"b"), (3,"b"), (3,"a"), (5,"a")] == fromList [(3, "ab"), (5, "aba")] fromListWith (++) [] == empty

fromListWithKey :: (Key -> a -> a -> a) -> [(Key, a)] -> IntMap aSource

O(n*min(n,W)). Build a map from a list of key/value pairs with a combining function. See also fromAscListWithKey'.

fromListWith (++) [(5,"a"), (5,"b"), (3,"b"), (3,"a"), (5,"a")] == fromList [(3, "ab"), (5, "aba")] fromListWith (++) [] == empty

Ordered lists

toAscList :: IntMap a -> [(Key, a)]Source

O(n). Convert the map to a list of key/value pairs where the keys are in ascending order.

toAscList (fromList [(5,"a"), (3,"b")]) == [(3,"b"), (5,"a")]

fromAscList :: [(Key, a)] -> IntMap aSource

O(n*min(n,W)). Build a map from a list of key/value pairs where the keys are in ascending order.

fromAscList [(3,"b"), (5,"a")] == fromList [(3, "b"), (5, "a")] fromAscList [(3,"b"), (5,"a"), (5,"b")] == fromList [(3, "b"), (5, "b")]

fromAscListWith :: (a -> a -> a) -> [(Key, a)] -> IntMap aSource

O(n*min(n,W)). Build a map from a list of key/value pairs where the keys are in ascending order, with a combining function on equal keys.

fromAscListWith (++) [(3,"b"), (5,"a"), (5,"b")] == fromList [(3, "b"), (5, "ba")]

fromAscListWithKey :: (Key -> a -> a -> a) -> [(Key, a)] -> IntMap aSource

O(n*min(n,W)). Build a map from a list of key/value pairs where the keys are in ascending order, with a combining function on equal keys.

fromAscListWith (++) [(3,"b"), (5,"a"), (5,"b")] == fromList [(3, "b"), (5, "ba")]

fromDistinctAscList :: [(Key, a)] -> IntMap aSource

O(n*min(n,W)). Build a map from a list of key/value pairs where the keys are in ascending order and all distinct.

fromDistinctAscList [(3,"b"), (5,"a")] == fromList [(3, "b"), (5, "a")]

Filter

filter :: (a -> Bool) -> IntMap a -> IntMap aSource

O(n). Filter all values that satisfy some predicate.

filter (> "a") (fromList [(5,"a"), (3,"b")]) == singleton 3 "b" filter (> "x") (fromList [(5,"a"), (3,"b")]) == empty filter (< "a") (fromList [(5,"a"), (3,"b")]) == empty

filterWithKey :: (Key -> a -> Bool) -> IntMap a -> IntMap aSource

O(n). Filter all keys/values that satisfy some predicate.

filterWithKey (\k _ -> k > 4) (fromList [(5,"a"), (3,"b")]) == singleton 5 "a"

partition :: (a -> Bool) -> IntMap a -> (IntMap a, IntMap a)Source

O(n). Partition the map according to some predicate. The first map contains all elements that satisfy the predicate, the second all elements that fail the predicate. See also [split](Data-IntMap.html#v:split).

partition (> "a") (fromList [(5,"a"), (3,"b")]) == (singleton 3 "b", singleton 5 "a") partition (< "x") (fromList [(5,"a"), (3,"b")]) == (fromList [(3, "b"), (5, "a")], empty) partition (> "x") (fromList [(5,"a"), (3,"b")]) == (empty, fromList [(3, "b"), (5, "a")])

partitionWithKey :: (Key -> a -> Bool) -> IntMap a -> (IntMap a, IntMap a)Source

partitionWithKey (\ k _ -> k > 3) (fromList [(5,"a"), (3,"b")]) == (singleton 5 "a", singleton 3 "b") partitionWithKey (\ k _ -> k < 7) (fromList [(5,"a"), (3,"b")]) == (fromList [(3, "b"), (5, "a")], empty) partitionWithKey (\ k _ -> k > 7) (fromList [(5,"a"), (3,"b")]) == (empty, fromList [(3, "b"), (5, "a")])

mapMaybe :: (a -> Maybe b) -> IntMap a -> IntMap bSource

O(n). Map values and collect the [Just](/packages/archive/base/4.3.0.0/doc/html/Data-Maybe.html#v: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"

mapMaybeWithKey :: (Key -> a -> Maybe b) -> IntMap a -> IntMap bSource

O(n). Map keys/values and collect the [Just](/packages/archive/base/4.3.0.0/doc/html/Data-Maybe.html#v: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"

mapEither :: (a -> Either b c) -> IntMap a -> (IntMap b, IntMap c)Source

O(n). Map values and separate the [Left](/packages/archive/base/4.3.0.0/doc/html/Data-Either.html#v:Left) and [Right](/packages/archive/base/4.3.0.0/doc/html/Data-Either.html#v:Right) results.

let f a = if a < "c" then Left a else Right a mapEither f (fromList [(5,"a"), (3,"b"), (1,"x"), (7,"z")]) == (fromList [(3,"b"), (5,"a")], fromList [(1,"x"), (7,"z")])

mapEither (\ a -> Right a) (fromList [(5,"a"), (3,"b"), (1,"x"), (7,"z")]) == (empty, fromList [(5,"a"), (3,"b"), (1,"x"), (7,"z")])

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

O(n). Map keys/values and separate the [Left](/packages/archive/base/4.3.0.0/doc/html/Data-Either.html#v:Left) and [Right](/packages/archive/base/4.3.0.0/doc/html/Data-Either.html#v: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")])

split :: Key -> IntMap a -> (IntMap a, IntMap a)Source

O(log n). The expression (`[split](Data-IntMap.html#v:split)` k map) is a pair (map1,map2) where all keys in map1 are lower than k and all keys inmap2 larger than k. Any key equal to k is found in neither map1 nor map2.

split 2 (fromList [(5,"a"), (3,"b")]) == (empty, fromList [(3,"b"), (5,"a")]) split 3 (fromList [(5,"a"), (3,"b")]) == (empty, singleton 5 "a") split 4 (fromList [(5,"a"), (3,"b")]) == (singleton 3 "b", singleton 5 "a") split 5 (fromList [(5,"a"), (3,"b")]) == (singleton 3 "b", empty) split 6 (fromList [(5,"a"), (3,"b")]) == (fromList [(3,"b"), (5,"a")], empty)

splitLookup :: Key -> IntMap a -> (IntMap a, Maybe a, IntMap a)Source

O(log n). Performs a [split](Data-IntMap.html#v:split) but also returns whether the pivot key was found in the original map.

splitLookup 2 (fromList [(5,"a"), (3,"b")]) == (empty, Nothing, fromList [(3,"b"), (5,"a")]) splitLookup 3 (fromList [(5,"a"), (3,"b")]) == (empty, Just "b", singleton 5 "a") splitLookup 4 (fromList [(5,"a"), (3,"b")]) == (singleton 3 "b", Nothing, singleton 5 "a") splitLookup 5 (fromList [(5,"a"), (3,"b")]) == (singleton 3 "b", Just "a", empty) splitLookup 6 (fromList [(5,"a"), (3,"b")]) == (fromList [(3,"b"), (5,"a")], Nothing, empty)

Submap

isSubmapOfBy :: (a -> b -> Bool) -> IntMap a -> IntMap b -> Bool Source

O(n+m). The expression (`[isSubmapOfBy](Data-IntMap.html#v:isSubmapOfBy)` f m1 m2) returns [True](/packages/archive/base/4.3.0.0/doc/html/Data-Bool.html#v:True) if all keys in m1 are in m2, and when f returns [True](/packages/archive/base/4.3.0.0/doc/html/Data-Bool.html#v:True) when applied to their respective values. For example, the following expressions are all [True](/packages/archive/base/4.3.0.0/doc/html/Data-Bool.html#v:True):

isSubmapOfBy (==) (fromList [(1,1)]) (fromList [(1,1),(2,2)]) isSubmapOfBy (<=) (fromList [(1,1)]) (fromList [(1,1),(2,2)]) isSubmapOfBy (==) (fromList [(1,1),(2,2)]) (fromList [(1,1),(2,2)])

But the following are all [False](/packages/archive/base/4.3.0.0/doc/html/Data-Bool.html#v:False):

isSubmapOfBy (==) (fromList [(1,2)]) (fromList [(1,1),(2,2)]) isSubmapOfBy (<) (fromList [(1,1)]) (fromList [(1,1),(2,2)]) isSubmapOfBy (==) (fromList [(1,1),(2,2)]) (fromList [(1,1)])

isProperSubmapOfBy :: (a -> b -> Bool) -> IntMap a -> IntMap b -> Bool Source

O(n+m). Is this a proper submap? (ie. a submap but not equal). The expression (`[isProperSubmapOfBy](Data-IntMap.html#v:isProperSubmapOfBy)` f m1 m2) returns [True](/packages/archive/base/4.3.0.0/doc/html/Data-Bool.html#v:True) whenm1 and m2 are not equal, all keys in m1 are in m2, and when f returns [True](/packages/archive/base/4.3.0.0/doc/html/Data-Bool.html#v:True) when applied to their respective values. For example, the following expressions are all [True](/packages/archive/base/4.3.0.0/doc/html/Data-Bool.html#v:True):

isProperSubmapOfBy (==) (fromList [(1,1)]) (fromList [(1,1),(2,2)]) isProperSubmapOfBy (<=) (fromList [(1,1)]) (fromList [(1,1),(2,2)])

But the following are all [False](/packages/archive/base/4.3.0.0/doc/html/Data-Bool.html#v:False):

isProperSubmapOfBy (==) (fromList [(1,1),(2,2)]) (fromList [(1,1),(2,2)]) isProperSubmapOfBy (==) (fromList [(1,1),(2,2)]) (fromList [(1,1)]) isProperSubmapOfBy (<) (fromList [(1,1)]) (fromList [(1,1),(2,2)])

Min/Max

updateMin :: (a -> a) -> IntMap a -> IntMap aSource

O(log n). Update the value at the minimal key.

updateMin (\ a -> Just ("X" ++ a)) (fromList [(5,"a"), (3,"b")]) == fromList [(3, "Xb"), (5, "a")] updateMin (\ _ -> Nothing) (fromList [(5,"a"), (3,"b")]) == singleton 5 "a"

updateMax :: (a -> a) -> IntMap a -> IntMap aSource

O(log n). Update the value at the maximal key.

updateMax (\ a -> Just ("X" ++ a)) (fromList [(5,"a"), (3,"b")]) == fromList [(3, "b"), (5, "Xa")] updateMax (\ _ -> Nothing) (fromList [(5,"a"), (3,"b")]) == singleton 3 "b"

updateMinWithKey :: (Key -> a -> a) -> IntMap a -> IntMap aSource

O(log n). Update the value at the minimal key.

updateMinWithKey (\ k a -> Just ((show k) ++ ":" ++ a)) (fromList [(5,"a"), (3,"b")]) == fromList [(3,"3:b"), (5,"a")] updateMinWithKey (\ _ _ -> Nothing) (fromList [(5,"a"), (3,"b")]) == singleton 5 "a"

updateMaxWithKey :: (Key -> a -> a) -> IntMap a -> IntMap aSource

O(log n). Update the value at the maximal key.

updateMaxWithKey (\ k a -> Just ((show k) ++ ":" ++ a)) (fromList [(5,"a"), (3,"b")]) == fromList [(3,"b"), (5,"5:a")] updateMaxWithKey (\ _ _ -> Nothing) (fromList [(5,"a"), (3,"b")]) == singleton 3 "b"

minViewWithKey :: IntMap a -> Maybe ((Key, a), IntMap a)Source

O(log n). Retrieves the minimal (key,value) pair of the map, and the map stripped of that element, or [Nothing](/packages/archive/base/4.3.0.0/doc/html/Data-Maybe.html#v:Nothing) if passed an empty map.

minViewWithKey (fromList [(5,"a"), (3,"b")]) == Just ((3,"b"), singleton 5 "a") minViewWithKey empty == Nothing

maxViewWithKey :: IntMap a -> Maybe ((Key, a), IntMap a)Source

O(log n). Retrieves the maximal (key,value) pair of the map, and the map stripped of that element, or [Nothing](/packages/archive/base/4.3.0.0/doc/html/Data-Maybe.html#v:Nothing) if passed an empty map.

maxViewWithKey (fromList [(5,"a"), (3,"b")]) == Just ((5,"a"), singleton 3 "b") maxViewWithKey empty == Nothing

Data.IntMap (original) (raw)

Map type

Operators

Query

Construction

Insertion

Delete/Update

Combine

Union

Difference

Intersection

Traversal

Map

Fold

Conversion

Lists

Ordered lists

Filter

Submap

Min/Max

Debugging