module Data.Trie.Pred.Disjoint.Tail
( DPTrie (..)
, lookup
, lookupNearestParent
, merge
, areDisjoint
, litSingletonTail
, litExtrudeTail
, sort
) where
import Prelude hiding (lookup)
import Data.List.NonEmpty as NE hiding (map, sort)
data DPTrie p t x where
DMore :: t
-> Maybe x
-> [DPTrie p t x]
-> DPTrie p t x
DPred :: p
-> (t -> Maybe r)
-> Maybe (r -> x)
-> [DPTrie p t (r -> x)]
-> DPTrie p t x
merge :: (Eq p, Eq t) => DPTrie p t x -> DPTrie p t x -> DPTrie p t x
merge xx@(DMore t mx xs) yy@(DMore p my ys)
| t == p = DMore p my $ foldr go [] $ xs ++ ys
| otherwise = xx
where
go :: (Eq p, Eq t) => DPTrie p t x -> [DPTrie p t x] -> [DPTrie p t x]
go a [] = [a]
go a (b:bs) | areDisjoint a b = a : b : bs
| otherwise = merge a b : bs
merge xx@(DPred t q mrx xrs) yy@(DPred p w mry yrs)
| t == p = yy
| otherwise = xx
merge xx@(DMore t mx xs) yy@(DPred p w mrx xrs) = yy
merge xx@(DPred t q mrx xrs) yy@(DMore p my ys) = yy
areDisjoint :: (Eq p, Eq t) => DPTrie p t x -> DPTrie p t x -> Bool
areDisjoint (DMore t _ _) (DMore p _ _) = t == p
areDisjoint (DPred t _ _ _) (DPred p _ _ _) = t == p
areDisjoint _ _ = True
lookup :: Eq t => NonEmpty t -> DPTrie p t x -> Maybe x
lookup (t:|ts) (DMore t' mx xs)
| t == t' = case ts of
[] -> mx
_ -> firstJust $ map (lookup $ NE.fromList ts) xs
| otherwise = Nothing
lookup (t:|ts) (DPred _ p mrx xrs) =
p t >>=
\r -> case ts of
[] -> ($ r) <$> mrx
_ -> ($ r) <$> firstJust (map (lookup $ NE.fromList ts) xrs)
lookupNearestParent :: Eq t => NonEmpty t -> DPTrie p t x -> Maybe x
lookupNearestParent tss@(t:|ts) trie@(DMore t' mx xs) = case lookup tss trie of
Nothing -> if t == t'
then case ts of
[] -> mx
_ -> case firstJust $ map (lookupNearestParent $ NE.fromList ts) xs of
Nothing -> mx
justr -> justr
else Nothing
justr -> justr
lookupNearestParent tss@(t:|ts) trie@(DPred t' p mrx xrs) = case lookup tss trie of
Nothing -> p t >>=
\r -> case ts of
[] -> ($ r) <$> mrx
_ -> case firstJust $ map (lookupNearestParent $ NE.fromList ts) xrs of
Nothing -> ($ r) <$> mrx
justr -> ($ r) <$> justr
justr -> justr
firstJust :: [Maybe a] -> Maybe a
firstJust [] = Nothing
firstJust (Nothing:xs) = firstJust xs
firstJust (Just x :xs) = Just x
litSingletonTail :: NonEmpty t -> x -> DPTrie p t x
litSingletonTail (t:|[]) x = DMore t (Just x) []
litSingletonTail (t:|ts) x = DMore t Nothing [litSingletonTail (NE.fromList ts) x]
litExtrudeTail :: [t] -> DPTrie p t x -> DPTrie p t x
litExtrudeTail [] r = r
litExtrudeTail (t:ts) r = DMore t Nothing [litExtrudeTail ts r]
sort :: (Eq p, Eq t) => [DPTrie p t x] -> [DPTrie p t x]
sort = foldr insert []
where
insert :: (Eq p, Eq t) => DPTrie p t x -> [DPTrie p t x] -> [DPTrie p t x]
insert r [] = [r]
insert x@(DMore t _ _) (y@(DMore p _ _):rs)
| t == p = x : rs
| otherwise = x : y : rs
insert x@(DMore t _ _) (y@(DPred p _ _ _):rs) =
x : y : rs
insert x@(DPred t _ _ _) (y@(DPred p _ _ _):rs)
| t == p = x : rs
| otherwise = x : y : rs
insert x@(DPred t _ _ _) (y@(DMore p _ _):rs) =
y : insert x rs