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authorbringert <bringert@cs.chalmers.se>2005-12-29 21:35:40 +0000
committerbringert <bringert@cs.chalmers.se>2005-12-29 21:35:40 +0000
commit14079a9d7c44a550f9bd21df435b8c616379163b (patch)
tree8368f51072d8df22b8ec9da9ebb1f4d4d8e41464 /src
parentd8548908202488db2934ed7a51924844c2936ee0 (diff)
Finite state networks: more strictness. alternative (still unused) implementation of reachable.
Diffstat (limited to 'src')
-rw-r--r--src/GF/Speech/FiniteState.hs56
1 files changed, 37 insertions, 19 deletions
diff --git a/src/GF/Speech/FiniteState.hs b/src/GF/Speech/FiniteState.hs
index b2ac0fee3..539db8e0a 100644
--- a/src/GF/Speech/FiniteState.hs
+++ b/src/GF/Speech/FiniteState.hs
@@ -25,22 +25,18 @@ module GF.Speech.FiniteState (FA, State, NFA, DFA,
prFAGraphviz) where
import Data.List
-import Data.Maybe (catMaybes,fromJust,isNothing)
+import Data.Maybe
import Data.Map (Map)
import qualified Data.Map as Map
import Data.Set (Set)
import qualified Data.Set as Set
-import qualified Data.Set as StateSet
-
import GF.Data.Utilities
import GF.Speech.Graph
import qualified GF.Visualization.Graphviz as Dot
type State = Int
-type StateSet = StateSet.Set State
-
data FA n a b = FA !(Graph n a b) !n ![n]
type NFA a = FA State () (Maybe a)
@@ -144,11 +140,12 @@ determinize (FA g s f) = let (ns,es) = h (Set.singleton start) Set.empty Set.emp
fa = FA (Graph undefined [(n,()) | n <- ns'] es') start final
in numberStates fa
where out = outgoing g
- start = closure out $ StateSet.singleton s
- isDFAFinal n = not (StateSet.null (StateSet.fromList f `StateSet.intersection` n))
+-- reach = nodesReachable out
+ start = closure out $ Set.singleton s
+ isDFAFinal n = not (Set.null (Set.fromList f `Set.intersection` n))
h currentStates oldStates es
| Set.null currentStates = (oldStates,es)
- | otherwise = h uniqueNewStates allOldStates es'
+ | otherwise = ((h $! uniqueNewStates) $! allOldStates) $! es'
where
allOldStates = oldStates `Set.union` currentStates
(newStates,es') = new (Set.toList currentStates) Set.empty es
@@ -157,7 +154,7 @@ determinize (FA g s f) = let (ns,es) = h (Set.singleton start) Set.empty Set.emp
-- by consuming one symbol, and the associated edges.
new [] rs es = (rs,es)
new (n:ns) rs es = new ns rs' es'
- where cs = reachable out n
+ where cs = reachable out n --reachable reach n
rs' = rs `Set.union` Set.fromList (map snd cs)
es' = es `Set.union` Set.fromList [(n,s,c) | (c,s) <- cs]
@@ -170,22 +167,37 @@ numberStates (FA g s fs) = FA (renameNodes newName rest g) s' fs'
fs' = map newName fs
-- | Get all the nodes reachable from a list of nodes by only empty edges.
-closure :: Outgoing State a (Maybe b) -> StateSet -> StateSet
+closure :: Ord n => Outgoing n a (Maybe b) -> Set n -> Set n
closure out x = closure_ x x
- where closure_ acc check | StateSet.null check = acc
+ where closure_ acc check | Set.null check = acc
| otherwise = closure_ acc' check'
where
- reach = StateSet.fromList [y | x <- StateSet.toList check,
+ reach = Set.fromList [y | x <- Set.toList check,
(_,y,Nothing) <- getOutgoing out x]
- acc' = acc `StateSet.union` reach
- check' = reach StateSet.\\ acc
+ acc' = acc `Set.union` reach
+ check' = reach Set.\\ acc
--- | Get a map of labels to sets of all nodes reachable
--- from a the set of nodes by one edge with the given
+-- | Get a map of labels to sets of all nodes reachable
+-- from a the set of nodes by one edge with the given
-- label and then any number of empty edges.
-reachable :: Ord b => Outgoing State a (Maybe b) -> StateSet -> [(b,StateSet)]
-reachable out ns = Map.toList $ Map.map (closure out . StateSet.fromList) $ reachable1 out ns
-reachable1 out ns = Map.fromListWith (++) [(c, [y]) | n <- StateSet.toList ns, (_,y,Just c) <- getOutgoing out n]
+reachable :: (Ord n,Ord b) => Outgoing n a (Maybe b) -> Set n -> [(b,Set n)]
+reachable out ns = Map.toList $ Map.map (closure out . Set.fromList) $ reachable1 out ns
+reachable1 out ns = Map.fromListWith (++) [(c, [y]) | n <- Set.toList ns, (_,y,Just c) <- getOutgoing out n]
+
+
+{-
+-- Alternative implementation of reachable, seems to use too much memory.
+
+type Reachable n b = Map n (Map b (Set n))
+
+reachable :: (Ord n, Ord b) => Reachable n b -> Set n -> [(b,Set n)]
+reachable r ns = Map.toList $ Map.unionsWith Set.union $ lookups (Set.toList ns) r
+
+nodesReachable :: (Ord n, Ord b) => Outgoing n a (Maybe b) -> Reachable n b
+nodesReachable out = Map.map (f . snd) out
+ where f = Map.map (closure out . Set.fromList) . edgesByLabel
+ edgesByLabel es = Map.fromListWith (++) [(c,[y]) | (_,y,Just c) <- es]
+-}
reverseNFA :: NFA a -> NFA a
reverseNFA (FA g s fs) = FA g''' s' [s]
@@ -214,3 +226,9 @@ toGraphviz (FA (Graph _ ns es) s f) = Dot.Graph Dot.Directed [] (map mkNode ns)
++ if n `elem` f then [("style","bold")] else []
mkEdge (x,y,l) = Dot.Edge (show x) (show y) [("label",l)]
+--
+-- * Utilities
+--
+
+lookups :: Ord k => [k] -> Map k a -> [a]
+lookups xs m = mapMaybe (flip Map.lookup m) xs \ No newline at end of file