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authorbringert <bringert@cs.chalmers.se>2005-12-29 20:24:34 +0000
committerbringert <bringert@cs.chalmers.se>2005-12-29 20:24:34 +0000
commitd8548908202488db2934ed7a51924844c2936ee0 (patch)
treebaee6356b52f86dad1fc4817647f939947b986b9 /src/GF/Speech/FiniteState.hs
parentf4f1f04123d7dc33e9be65dd8c929bd4a21e193a (diff)
Fintie state networks: fixed stack overflow problem with strictness in Graph and FiniteState. Some clean-up and smaller performance fixes.
Diffstat (limited to 'src/GF/Speech/FiniteState.hs')
-rw-r--r--src/GF/Speech/FiniteState.hs55
1 files changed, 34 insertions, 21 deletions
diff --git a/src/GF/Speech/FiniteState.hs b/src/GF/Speech/FiniteState.hs
index e48064945..b2ac0fee3 100644
--- a/src/GF/Speech/FiniteState.hs
+++ b/src/GF/Speech/FiniteState.hs
@@ -25,19 +25,23 @@ module GF.Speech.FiniteState (FA, State, NFA, DFA,
prFAGraphviz) where
import Data.List
-import Data.Maybe (catMaybes,fromJust)
+import Data.Maybe (catMaybes,fromJust,isNothing)
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
-data FA n a b = FA (Graph n a b) n [n]
+type StateSet = StateSet.Set State
+
+data FA n a b = FA !(Graph n a b) !n ![n]
type NFA a = FA State () (Maybe a)
@@ -87,6 +91,7 @@ minimize = determinize . reverseNFA . dfa2nfa . determinize . reverseNFA
onGraph :: (Graph n a b -> Graph n c d) -> FA n a b -> FA n c d
onGraph f (FA g s ss) = FA (f g) s ss
+
-- | Make the finite automaton have a single final state
-- by adding a new final state and adding an edge
-- from the old final states to the new state.
@@ -133,21 +138,28 @@ alphabet :: Eq b => Graph n a (Maybe b) -> [b]
alphabet = nub . catMaybes . map getLabel . edges
determinize :: Ord a => NFA a -> DFA a
-determinize (FA g s f) = let (ns,es) = h [start] [] []
- final = filter isDFAFinal ns
- fa = FA (Graph undefined [(n,()) | n <- ns] es) start final
+determinize (FA g s f) = let (ns,es) = h (Set.singleton start) Set.empty Set.empty
+ (ns',es') = (Set.toList ns, Set.toList es)
+ final = filter isDFAFinal ns'
+ fa = FA (Graph undefined [(n,()) | n <- ns'] es') start final
in numberStates fa
where out = outgoing g
- start = closure out $ Set.singleton s
- isDFAFinal n = not (Set.null (Set.fromList f `Set.intersection` n))
- h currentStates oldStates oldEdges
- | null currentStates = (oldStates,oldEdges)
- | otherwise = h uniqueNewStates allOldStates (newEdges++oldEdges)
+ start = closure out $ StateSet.singleton s
+ isDFAFinal n = not (StateSet.null (StateSet.fromList f `StateSet.intersection` n))
+ h currentStates oldStates es
+ | Set.null currentStates = (oldStates,es)
+ | otherwise = h uniqueNewStates allOldStates es'
where
- allOldStates = currentStates ++ oldStates
- (newStates,newEdges)
- = unzip [ (s, (n,s,c)) | n <- currentStates, (c,s) <- reachable out n]
- uniqueNewStates = nub newStates \\ allOldStates
+ allOldStates = oldStates `Set.union` currentStates
+ (newStates,es') = new (Set.toList currentStates) Set.empty es
+ uniqueNewStates = newStates Set.\\ allOldStates
+ -- Get the sets of states reachable from the given states
+ -- 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
+ rs' = rs `Set.union` Set.fromList (map snd cs)
+ es' = es `Set.union` Set.fromList [(n,s,c) | (c,s) <- cs]
numberStates :: (Ord x,Enum y) => FA x a b -> FA y a b
numberStates (FA g s fs) = FA (renameNodes newName rest g) s' fs'
@@ -158,21 +170,22 @@ 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 :: Ord n => Outgoing n a (Maybe b) -> Set n -> Set n
+closure :: Outgoing State a (Maybe b) -> StateSet -> StateSet
closure out x = closure_ x x
- where closure_ acc check | Set.null check = acc
+ where closure_ acc check | StateSet.null check = acc
| otherwise = closure_ acc' check'
where
- reach = Set.fromList [y | x <- Set.toList check,
+ reach = StateSet.fromList [y | x <- StateSet.toList check,
(_,y,Nothing) <- getOutgoing out x]
- acc' = acc `Set.union` reach
- check' = reach Set.\\ acc
+ acc' = acc `StateSet.union` reach
+ check' = reach StateSet.\\ acc
-- | 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 n, Ord b) => Outgoing n a (Maybe b) -> Set n -> [(b,Set n)]
-reachable out ns = Map.toList $ Map.map (closure out . Set.fromList) $ Map.fromListWith (++) [(c,[y]) | n <- Set.toList ns, (_,y,Just c) <- getOutgoing out n]
+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]
reverseNFA :: NFA a -> NFA a
reverseNFA (FA g s fs) = FA g''' s' [s]