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-----------------------------------------------------------------------
--- |
--- Module : Assoc
--- Maintainer : Peter Ljunglöf
--- Stability : Stable
--- Portability : Haskell 98
---
--- > CVS $Date: 2005/05/09 09:28:44 $
--- > CVS $Author: peb $
--- > CVS $Revision: 1.4 $
---
--- Association lists, or finite maps,
--- including sets as maps with result type @()@.
--- function names stolen from module @Array@.
--- /O(log n)/ key lookup
------------------------------------------------------------------------------
-
-module GF.Data.Assoc ( Assoc,
- Set,
- emptyAssoc,
- emptySet,
- listAssoc,
- listSet,
- accumAssoc,
- aAssocs,
- aElems,
- assocMap,
- assocFilter,
- lookupAssoc,
- lookupWith,
- (?),
- (?=)
- ) where
-
-import GF.Data.SortedList
-
-infixl 9 ?, ?=
-
--- | a set is a finite map with empty values
-type Set a = Assoc a ()
-
-emptyAssoc :: Ord a => Assoc a b
-emptySet :: Ord a => Set a
-
--- | creating a finite map from a sorted key-value list
-listAssoc :: Ord a => SList (a, b) -> Assoc a b
-
--- | creating a set from a sorted list
-listSet :: Ord a => SList a -> Set a
-
--- | building a finite map from a list of keys and 'b's,
--- and a function that combines a sorted list of 'b's into a value
-accumAssoc :: (Ord a, Ord c) => (SList c -> b) -> [(a, c)] -> Assoc a b
-
--- | all key-value pairs from an association list
-aAssocs :: Ord a => Assoc a b -> SList (a, b)
-
--- | all keys from an association list
-aElems :: Ord a => Assoc a b -> SList a
-
--- fmap :: Ord a => (b -> b') -> Assoc a b -> Assoc a b'
-
--- | mapping values to other values.
--- the mapping function can take the key as information
-assocMap :: Ord a => (a -> b -> b') -> Assoc a b -> Assoc a b'
-
-assocFilter :: Ord a => (b -> Bool) -> Assoc a b -> Assoc a b
-assocFilter pred = listAssoc . filter (pred . snd) . aAssocs
-
--- | monadic lookup function,
--- returning failure if the key does not exist
-lookupAssoc :: (Ord a, Monad m) => Assoc a b -> a -> m b
-
--- | if the key does not exist,
--- the first argument is returned
-lookupWith :: Ord a => b -> Assoc a b -> a -> b
-
--- | if the values are monadic, we can return the value type
-(?) :: (Ord a, Monad m) => Assoc a (m b) -> a -> m b
-
--- | checking wheter the map contains a given key
-(?=) :: Ord a => Assoc a b -> a -> Bool
-
-
-------------------------------------------------------------
-
-data Assoc a b = ANil | ANode (Assoc a b) a b (Assoc a b)
- deriving (Eq, Ord, Show)
-
-emptyAssoc = ANil
-emptySet = emptyAssoc
-
-listAssoc as = assoc
- where (assoc, []) = sl2bst (length as) as
- sl2bst 0 xs = (ANil, xs)
- sl2bst 1 (x:xs) = (ANode ANil (fst x) (snd x) ANil, xs)
- sl2bst n xs = (ANode left (fst x) (snd x) right, zs)
- where llen = (n-1) `div` 2
- rlen = n - 1 - llen
- (left, x:ys) = sl2bst llen xs
- (right, zs) = sl2bst rlen ys
-
-listSet as = listAssoc (zip as (repeat ()))
-
-accumAssoc join = listAssoc . map (mapSnd join) . groupPairs . nubsort
- where mapSnd f (a, b) = (a, f b)
-
-aAssocs as = prs as []
- where prs ANil = id
- prs (ANode left a b right) = prs left . ((a,b) :) . prs right
-
-aElems = map fst . aAssocs
-
-
-instance Ord a => Functor (Assoc a) where
- fmap f = assocMap (const f)
-
-assocMap f ANil = ANil
-assocMap f (ANode left a b right) = ANode (assocMap f left) a (f a b) (assocMap f right)
-
-
-lookupAssoc ANil _ = fail "key not found"
-lookupAssoc (ANode left a b right) a' = case compare a a' of
- GT -> lookupAssoc left a'
- LT -> lookupAssoc right a'
- EQ -> return b
-
-lookupWith z ANil _ = z
-lookupWith z (ANode left a b right) a' = case compare a a' of
- GT -> lookupWith z left a'
- LT -> lookupWith z right a'
- EQ -> b
-
-(?) = lookupWith (fail "key not found")
-
-(?=) = \assoc -> maybe False (const True) . lookupAssoc assoc
-
-
-
-
-
-
-