forked from GitHub/gf-core
Replace tabs for whitespace in source code
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@@ -5,37 +5,37 @@
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-- Stability : (stable)
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-- Portability : (portable)
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--
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-- > CVS $Date: 2005/11/10 16:43:44 $
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-- > CVS $Date: 2005/11/10 16:43:44 $
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-- > CVS $Author: bringert $
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-- > CVS $Revision: 1.16 $
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--
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-- A simple finite state network module.
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-----------------------------------------------------------------------------
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module GF.Speech.FiniteState (FA(..), State, NFA, DFA,
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startState, finalStates,
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states, transitions,
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startState, finalStates,
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states, transitions,
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isInternal,
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newFA, newFA_,
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addFinalState,
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newState, newStates,
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newFA, newFA_,
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addFinalState,
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newState, newStates,
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newTransition, newTransitions,
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insertTransitionWith, insertTransitionsWith,
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mapStates, mapTransitions,
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mapStates, mapTransitions,
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modifyTransitions,
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nonLoopTransitionsTo, nonLoopTransitionsFrom,
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nonLoopTransitionsTo, nonLoopTransitionsFrom,
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loops,
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removeState,
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oneFinalState,
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insertNFA,
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onGraph,
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moveLabelsToNodes, removeTrivialEmptyNodes,
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moveLabelsToNodes, removeTrivialEmptyNodes,
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minimize,
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dfa2nfa,
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unusedNames, renameStates,
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prFAGraphviz, faToGraphviz) where
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prFAGraphviz, faToGraphviz) where
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import Data.List
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import Data.Maybe
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import Data.Maybe
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--import Data.Map (Map)
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import qualified Data.Map as Map
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import Data.Set (Set)
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@@ -98,13 +98,13 @@ newTransition f t l = onGraph (newEdge (f,t,l))
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newTransitions :: [(n, n, b)] -> FA n a b -> FA n a b
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newTransitions es = onGraph (newEdges es)
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insertTransitionWith :: Eq n =>
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insertTransitionWith :: Eq n =>
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(b -> b -> b) -> (n, n, b) -> FA n a b -> FA n a b
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insertTransitionWith f t = onGraph (insertEdgeWith f t)
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insertTransitionsWith :: Eq n =>
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insertTransitionsWith :: Eq n =>
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(b -> b -> b) -> [(n, n, b)] -> FA n a b -> FA n a b
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insertTransitionsWith f ts fa =
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insertTransitionsWith f ts fa =
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foldl' (flip (insertTransitionWith f)) fa ts
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mapStates :: (a -> c) -> FA n a b -> FA n c b
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@@ -128,11 +128,11 @@ unusedNames (FA (Graph names _ _) _ _) = names
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-- | Gets all incoming transitions to a given state, excluding
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-- transtions from the state itself.
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nonLoopTransitionsTo :: Eq n => n -> FA n a b -> [(n,b)]
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nonLoopTransitionsTo s fa =
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nonLoopTransitionsTo s fa =
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[(f,l) | (f,t,l) <- transitions fa, t == s && f /= s]
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nonLoopTransitionsFrom :: Eq n => n -> FA n a b -> [(n,b)]
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nonLoopTransitionsFrom s fa =
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nonLoopTransitionsFrom s fa =
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[(t,l) | (f,t,l) <- transitions fa, f == s && t /= s]
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loops :: Eq n => n -> FA n a b -> [b]
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@@ -145,7 +145,7 @@ renameStates :: Ord x => [y] -- ^ Infinite supply of new names
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renameStates supply (FA g s fs) = FA (renameNodes newName rest g) s' fs'
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where (ns,rest) = splitAt (length (nodes g)) supply
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newNodes = Map.fromList (zip (map fst (nodes g)) ns)
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newName n = Map.findWithDefault (error "FiniteState.newName") n newNodes
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newName n = Map.findWithDefault (error "FiniteState.newName") n newNodes
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s' = newName s
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fs' = map newName fs
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@@ -154,9 +154,9 @@ insertNFA :: NFA a -- ^ NFA to insert into
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-> (State, State) -- ^ States to insert between
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-> NFA a -- ^ NFA to insert.
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-> NFA a
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insertNFA (FA g1 s1 fs1) (f,t) (FA g2 s2 fs2)
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insertNFA (FA g1 s1 fs1) (f,t) (FA g2 s2 fs2)
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= FA (newEdges es g') s1 fs1
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where
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where
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es = (f,ren s2,Nothing):[(ren f2,t,Nothing) | f2 <- fs2]
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(g',ren) = mergeGraphs g1 g2
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@@ -182,9 +182,9 @@ oneFinalState nl el fa =
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moveLabelsToNodes :: (Ord n,Eq a) => FA n () (Maybe a) -> FA n (Maybe a) ()
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moveLabelsToNodes = onGraph f
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where f g@(Graph c _ _) = Graph c' ns (concat ess)
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where is = [ ((n,l),inc) | (n, (l,inc,_)) <- Map.toList (nodeInfo g)]
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(c',is') = mapAccumL fixIncoming c is
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(ns,ess) = unzip (concat is')
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where is = [ ((n,l),inc) | (n, (l,inc,_)) <- Map.toList (nodeInfo g)]
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(c',is') = mapAccumL fixIncoming c is
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(ns,ess) = unzip (concat is')
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-- | Remove empty nodes which are not start or final, and have
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@@ -196,12 +196,12 @@ removeTrivialEmptyNodes = pruneUnusable . skipSimpleEmptyNodes
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-- This is not done if the pointed-to node is a final node.
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skipSimpleEmptyNodes :: (Eq a, Ord n) => FA n (Maybe a) () -> FA n (Maybe a) ()
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skipSimpleEmptyNodes fa = onGraph og fa
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where
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where
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og g@(Graph c ns es) = if es' == es then g else og (Graph c ns es')
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where
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es' = concatMap changeEdge es
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info = nodeInfo g
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changeEdge e@(f,t,())
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changeEdge e@(f,t,())
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| isNothing (getNodeLabel info t)
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-- && (i * o <= i + o)
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&& not (isFinal fa t)
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@@ -223,28 +223,28 @@ pruneUnusable fa = onGraph f fa
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where
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f g = if Set.null rns then g else f (removeNodes rns g)
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where info = nodeInfo g
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rns = Set.fromList [ n | (n,_) <- nodes g,
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rns = Set.fromList [ n | (n,_) <- nodes g,
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isInternal fa n,
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inDegree info n == 0
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inDegree info n == 0
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|| outDegree info n == 0]
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fixIncoming :: (Ord n, Eq a) => [n]
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fixIncoming :: (Ord n, Eq a) => [n]
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-> (Node n (),[Edge n (Maybe a)]) -- ^ A node and its incoming edges
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-> ([n],[(Node n (Maybe a),[Edge n ()])]) -- ^ Replacement nodes with their
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-- incoming edges.
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fixIncoming cs c@((n,()),es) = (cs'', ((n,Nothing),es'):newContexts)
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where ls = nub $ map edgeLabel es
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(cs',cs'') = splitAt (length ls) cs
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newNodes = zip cs' ls
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es' = [ (x,n,()) | x <- map fst newNodes ]
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-- separate cyclic and non-cyclic edges
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(cyc,ncyc) = partition (\ (f,_,_) -> f == n) es
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-- keep all incoming non-cyclic edges with the right label
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to (x,l) = [ (f,x,()) | (f,_,l') <- ncyc, l == l']
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-- for each cyclic edge with the right label,
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-- add an edge from each of the new nodes (including this one)
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++ [ (y,x,()) | (f,_,l') <- cyc, l == l', (y,_) <- newNodes]
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newContexts = [ (v, to v) | v <- newNodes ]
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(cs',cs'') = splitAt (length ls) cs
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newNodes = zip cs' ls
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es' = [ (x,n,()) | x <- map fst newNodes ]
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-- separate cyclic and non-cyclic edges
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(cyc,ncyc) = partition (\ (f,_,_) -> f == n) es
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-- keep all incoming non-cyclic edges with the right label
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to (x,l) = [ (f,x,()) | (f,_,l') <- ncyc, l == l']
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-- for each cyclic edge with the right label,
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-- add an edge from each of the new nodes (including this one)
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++ [ (y,x,()) | (f,_,l') <- cyc, l == l', (y,_) <- newNodes]
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newContexts = [ (v, to v) | v <- newNodes ]
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--alphabet :: Eq b => Graph n a (Maybe b) -> [b]
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--alphabet = nub . catMaybes . map edgeLabel . edges
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@@ -254,19 +254,19 @@ determinize (FA g s f) = let (ns,es) = h (Set.singleton start) Set.empty Set.emp
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(ns',es') = (Set.toList ns, Set.toList es)
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final = filter isDFAFinal ns'
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fa = FA (Graph undefined [(n,()) | n <- ns'] es') start final
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in renameStates [0..] fa
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in renameStates [0..] fa
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where info = nodeInfo g
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-- reach = nodesReachable out
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start = closure info $ Set.singleton s
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start = closure info $ Set.singleton s
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isDFAFinal n = not (Set.null (Set.fromList f `Set.intersection` n))
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h currentStates oldStates es
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| Set.null currentStates = (oldStates,es)
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| otherwise = ((h $! uniqueNewStates) $! allOldStates) $! es'
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where
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allOldStates = oldStates `Set.union` currentStates
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h currentStates oldStates es
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| Set.null currentStates = (oldStates,es)
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| otherwise = ((h $! uniqueNewStates) $! allOldStates) $! es'
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where
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allOldStates = oldStates `Set.union` currentStates
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(newStates,es') = new (Set.toList currentStates) Set.empty es
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uniqueNewStates = newStates Set.\\ allOldStates
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-- Get the sets of states reachable from the given states
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uniqueNewStates = newStates Set.\\ allOldStates
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-- Get the sets of states reachable from the given states
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-- by consuming one symbol, and the associated edges.
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new [] rs es = (rs,es)
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new (n:ns) rs es = new ns rs' es'
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@@ -281,7 +281,7 @@ closure info x = closure_ x x
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where closure_ acc check | Set.null check = acc
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| otherwise = closure_ acc' check'
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where
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reach = Set.fromList [y | x <- Set.toList check,
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reach = Set.fromList [y | x <- Set.toList check,
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(_,y,Nothing) <- getOutgoing info x]
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acc' = acc `Set.union` reach
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check' = reach Set.\\ acc
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@@ -296,8 +296,8 @@ reachable1 info ns = Map.fromListWith (++) [(c, [y]) | n <- Set.toList ns, (_,y,
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reverseNFA :: NFA a -> NFA a
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reverseNFA (FA g s fs) = FA g''' s' [s]
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where g' = reverseGraph g
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(g'',s') = newNode () g'
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g''' = newEdges [(s',f,Nothing) | f <- fs] g''
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(g'',s') = newNode () g'
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g''' = newEdges [(s',f,Nothing) | f <- fs] g''
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dfa2nfa :: DFA a -> NFA a
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dfa2nfa = mapTransitions Just
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@@ -313,13 +313,13 @@ prFAGraphviz = Dot.prGraphviz . faToGraphviz
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--prFAGraphviz_ = Dot.prGraphviz . faToGraphviz . mapStates show . mapTransitions show
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faToGraphviz :: (Eq n,Show n) => FA n String String -> Dot.Graph
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faToGraphviz (FA (Graph _ ns es) s f)
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faToGraphviz (FA (Graph _ ns es) s f)
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= Dot.Graph Dot.Directed Nothing [] (map mkNode ns) (map mkEdge es) []
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where mkNode (n,l) = Dot.Node (show n) attrs
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where attrs = [("label",l)]
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++ if n == s then [("shape","box")] else []
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++ if n `elem` f then [("style","bold")] else []
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mkEdge (x,y,l) = Dot.Edge (show x) (show y) [("label",l)]
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where attrs = [("label",l)]
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++ if n == s then [("shape","box")] else []
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++ if n `elem` f then [("style","bold")] else []
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mkEdge (x,y,l) = Dot.Edge (show x) (show y) [("label",l)]
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--
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-- * Utilities
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