X-Git-Url: http://git.megacz.com/?a=blobdiff_plain;f=Data%2FMap.hs;h=a76b62bea5425c6ab93aa8ed1ff606f79eec0c49;hb=e9e2a5412bb7cda8d13a063ac403d9f18ac97380;hp=74a57c01e5f3bc0d27b7600f3d188b06df4131a7;hpb=42459d4ce473c881242c8c24c0cd570c3288393e;p=ghc-base.git diff --git a/Data/Map.hs b/Data/Map.hs index 74a57c0..a76b62b 100644 --- a/Data/Map.hs +++ b/Data/Map.hs @@ -171,7 +171,8 @@ import Data.Generics.Instances --------------------------------------------------------------------} infixl 9 !,\\ -- --- | /O(log n)/. Find the value of a key. Calls 'error' when the element can not be found. +-- | /O(log n)/. Find the value at a key. +-- Calls 'error' when the element can not be found. (!) :: Ord k => Map k a -> k -> a m ! k = find k m @@ -223,15 +224,19 @@ size t Bin sz k x l r -> sz --- | /O(log n)/. Lookup the value of key in the map. -lookup :: Ord k => k -> Map k a -> Maybe a -lookup k t +-- | /O(log n)/. Lookup the value at a key in the map. +lookup :: (Monad m,Ord k) => k -> Map k a -> m a +lookup k t = case lookup' k t of + Just x -> return x + Nothing -> fail "Data.Map.lookup: Key not found" +lookup' :: Ord k => k -> Map k a -> Maybe a +lookup' k t = case t of Tip -> Nothing Bin sz kx x l r -> case compare k kx of - LT -> lookup k l - GT -> lookup k r + LT -> lookup' k l + GT -> lookup' k r EQ -> Just x -- | /O(log n)/. Is the key a member of the map? @@ -241,7 +246,8 @@ member k m Nothing -> False Just x -> True --- | /O(log n)/. Find the value of a key. Calls 'error' when the element can not be found. +-- | /O(log n)/. Find the value at a key. +-- Calls 'error' when the element can not be found. find :: Ord k => k -> Map k a -> a find k m = case lookup k m of @@ -249,7 +255,7 @@ find k m Just x -> x -- | /O(log n)/. The expression @('findWithDefault' def k map)@ returns --- the value of key @k@ or returns @def@ when the key is not in the map. +-- the value at key @k@ or returns @def@ when the key is not in the map. findWithDefault :: Ord k => a -> k -> Map k a -> a findWithDefault def k m = case lookup k m of @@ -266,7 +272,7 @@ empty :: Map k a empty = Tip --- | /O(1)/. Create a map with a single element. +-- | /O(1)/. A map with a single element. singleton :: k -> a -> Map k a singleton k x = Bin 1 k x Tip Tip @@ -393,9 +399,10 @@ findIndex k t -- | /O(log n)/. Lookup the /index/ of a key. The index is a number from -- /0/ up to, but not including, the 'size' of the map. -lookupIndex :: Ord k => k -> Map k a -> Maybe Int -lookupIndex k t - = lookup 0 t +lookupIndex :: (Monad m,Ord k) => k -> Map k a -> m Int +lookupIndex k t = case lookup 0 t of + Nothing -> fail "Data.Map.lookupIndex: Key not found." + Just x -> return x where lookup idx Tip = Nothing lookup idx (Bin _ kx x l r) @@ -464,18 +471,18 @@ deleteMax (Bin _ kx x l Tip) = l deleteMax (Bin _ kx x l r) = balance kx x l (deleteMax r) deleteMax Tip = Tip --- | /O(log n)/. Update the minimal key. +-- | /O(log n)/. Update the value at the minimal key. updateMin :: (a -> Maybe a) -> Map k a -> Map k a updateMin f m = updateMinWithKey (\k x -> f x) m --- | /O(log n)/. Update the maximal key. +-- | /O(log n)/. Update the value at the maximal key. updateMax :: (a -> Maybe a) -> Map k a -> Map k a updateMax f m = updateMaxWithKey (\k x -> f x) m --- | /O(log n)/. Update the minimal key. +-- | /O(log n)/. Update the value at the minimal key. updateMinWithKey :: (k -> a -> Maybe a) -> Map k a -> Map k a updateMinWithKey f t = case t of @@ -485,7 +492,7 @@ updateMinWithKey f t Bin sx kx x l r -> balance kx x (updateMinWithKey f l) r Tip -> Tip --- | /O(log n)/. Update the maximal key. +-- | /O(log n)/. Update the value at the maximal key. updateMaxWithKey :: (k -> a -> Maybe a) -> Map k a -> Map k a updateMaxWithKey f t = case t of @@ -673,7 +680,7 @@ intersectWithKey f t (Bin _ kx x l r) Nothing -> merge tl tr Just y -> join kx (f kx y x) tl tr where - (found,lt,gt) = splitLookup kx t + (lt,found,gt) = splitLookup kx t tl = intersectWithKey f lt l tr = intersectWithKey f gt r @@ -715,7 +722,7 @@ submap' f (Bin _ kx x l r) t Nothing -> False Just y -> f x y && submap' f l lt && submap' f r gt where - (found,lt,gt) = splitLookup kx t + (lt,found,gt) = splitLookup kx t -- | /O(n+m)/. Is this a proper submap? (ie. a submap but not equal). -- Defined as (@'isProperSubmapOf' = 'isProperSubmapOfBy' (==)@). @@ -794,19 +801,19 @@ mapWithKey f (Bin sx kx x l r) = Bin sx kx (f kx x) (mapWithKey f l) (mapWithKey f r) -- | /O(n)/. The function 'mapAccum' threads an accumulating --- argument through the map in an unspecified order. +-- argument through the map in ascending order of keys. mapAccum :: (a -> b -> (a,c)) -> a -> Map k b -> (a,Map k c) mapAccum f a m = mapAccumWithKey (\a k x -> f a x) a m -- | /O(n)/. The function 'mapAccumWithKey' threads an accumulating --- argument through the map in unspecified order. (= ascending pre-order) +-- argument through the map in ascending order of keys. mapAccumWithKey :: (a -> k -> b -> (a,c)) -> a -> Map k b -> (a,Map k c) mapAccumWithKey f a t = mapAccumL f a t -- | /O(n)/. The function 'mapAccumL' threads an accumulating --- argument throught the map in (ascending) pre-order. +-- argument throught the map in ascending order of keys. mapAccumL :: (a -> k -> b -> (a,c)) -> a -> Map k b -> (a,Map k c) mapAccumL f a t = case t of @@ -818,7 +825,7 @@ mapAccumL f a t in (a3,Bin sx kx x' l' r') -- | /O(n)/. The function 'mapAccumR' threads an accumulating --- argument throught the map in (descending) post-order. +-- argument throught the map in descending order of keys. mapAccumR :: (a -> k -> b -> (a,c)) -> a -> Map k b -> (a,Map k c) mapAccumR f a t = case t of @@ -832,8 +839,9 @@ mapAccumR f a t -- | /O(n*log n)/. -- @'mapKeys' f s@ is the map obtained by applying @f@ to each key of @s@. -- --- It's worth noting that the size of the result may be smaller if, --- for some @(x,y)@, @x \/= y && f x == f y@ +-- 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 smallest of +-- these keys is retained. mapKeys :: Ord k2 => (k1->k2) -> Map k1 a -> Map k2 a mapKeys = mapKeysWith (\x y->x) @@ -841,9 +849,9 @@ mapKeys = mapKeysWith (\x y->x) -- | /O(n*log n)/. -- @'mapKeysWith' c f s@ is the map obtained by applying @f@ to each key of @s@. -- --- It's worth noting that the size of the result may be smaller if, --- for some @(x,y)@, @x \/= y && f x == f y@ --- In such a case, the values will be combined using @c@ +-- 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 :: Ord k2 => (a -> a -> a) -> (k1->k2) -> Map k1 a -> Map k2 a mapKeysWith c f = fromListWith c . List.map fFirst . toList @@ -851,7 +859,8 @@ mapKeysWith c f = fromListWith c . List.map fFirst . toList -- | /O(n)/. --- @'mapKeysMonotonic' f s == 'mapKeys' f s@, but works only when @f@ is monotonic. +-- @'mapKeysMonotonic' f s == 'mapKeys' f s@, but works only when @f@ +-- is strictly monotonic. -- /The precondition is not checked./ -- Semi-formally, we have: -- @@ -867,12 +876,23 @@ mapKeysMonotonic f (Bin sz k x l r) = {-------------------------------------------------------------------- Folds --------------------------------------------------------------------} --- | /O(n)/. Fold the map in an unspecified order. (= descending post-order). + +-- | /O(n)/. Fold the values in the map, such that +-- @'fold' f z == 'Prelude.foldr' f z . 'elems'@. +-- For example, +-- +-- > elems map = fold (:) [] map +-- fold :: (a -> b -> b) -> b -> Map k a -> b fold f z m = foldWithKey (\k x z -> f x z) z m --- | /O(n)/. Fold the map in an unspecified order. (= descending post-order). +-- | /O(n)/. Fold the keys and values in the map, such that +-- @'foldWithKey' f z == 'Prelude.foldr' ('uncurry' f) z . 'toAscList'@. +-- For example, +-- +-- > keys map = foldWithKey (\k x ks -> k:ks) [] map +-- foldWithKey :: (k -> a -> b -> b) -> b -> Map k a -> b foldWithKey f z t = foldr f z t @@ -895,12 +915,13 @@ foldl f z (Bin _ kx x l r) = foldl f (f (foldl f z l) kx x) r {-------------------------------------------------------------------- List variations --------------------------------------------------------------------} --- | /O(n)/. Return all elements of the map. +-- | /O(n)/. +-- Return all elements of the map in the ascending order of their keys. elems :: Map k a -> [a] elems m = [x | (k,x) <- assocs m] --- | /O(n)/. Return all keys of the map. +-- | /O(n)/. Return all keys of the map in ascending order. keys :: Map k a -> [k] keys m = [k | (k,x) <- assocs m] @@ -909,7 +930,7 @@ keys m keysSet :: Map k a -> Set.Set k keysSet m = Set.fromDistinctAscList (keys m) --- | /O(n)/. Return all key\/value pairs in the map. +-- | /O(n)/. Return all key\/value pairs in the map in ascending key order. assocs :: Map k a -> [(k,a)] assocs m = toList m @@ -1088,13 +1109,13 @@ split k (Bin sx kx x l r) -- | /O(log n)/. The expression (@'splitLookup' k map@) splits a map just -- like 'split' but also returns @'lookup' k map@. -splitLookup :: Ord k => k -> Map k a -> (Maybe a,Map k a,Map k a) -splitLookup k Tip = (Nothing,Tip,Tip) +splitLookup :: Ord k => k -> Map k a -> (Map k a,Maybe a,Map k a) +splitLookup k Tip = (Tip,Nothing,Tip) splitLookup k (Bin sx kx x l r) = case compare k kx of - LT -> let (z,lt,gt) = splitLookup k l in (z,lt,join kx x gt r) - GT -> let (z,lt,gt) = splitLookup k r in (z,join kx x l lt,gt) - EQ -> (Just x,l,r) + LT -> let (lt,z,gt) = splitLookup k l in (lt,z,join kx x gt r) + GT -> let (lt,z,gt) = splitLookup k r in (join kx x l lt,z,gt) + EQ -> (l,Just x,r) {-------------------------------------------------------------------- Utility functions that maintain the balance properties of the tree.