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https://github.com/GrammaticalFramework/gf-core.git
synced 2026-04-09 04:59:31 -06:00
Parametrized the Graph type over the node type.
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@@ -5,9 +5,9 @@
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-- Stability : (stable)
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-- Portability : (portable)
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--
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-- > CVS $Date: 2005/09/14 15:17:29 $
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-- > CVS $Date: 2005/09/14 15:29:53 $
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-- > CVS $Author: bringert $
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-- > CVS $Revision: 1.7 $
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-- > CVS $Revision: 1.8 $
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--
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-- A simple finite state network module.
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-----------------------------------------------------------------------------
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@@ -28,7 +28,7 @@ import GF.Data.Utilities
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import qualified GF.Visualization.Graphviz as Dot
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data FA a b = FA (Graph a b) State [State]
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data FA a b = FA (Graph State a b) State [State]
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type State = Node
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@@ -47,16 +47,16 @@ transitions (FA g _ _) = edges g
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newFA :: a -- ^ Start node label
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-> FA a b
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newFA l = FA g s []
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where (g,s) = newNode l newGraph
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where (g,s) = newNode l (newGraph [0..])
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addFinalState :: Node -> FA a b -> FA a b
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addFinalState :: State -> FA a b -> FA a b
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addFinalState f (FA g s ss) = FA g s (f:ss)
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newState :: a -> FA a b -> (FA a b, State)
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newState x (FA g s ss) = (FA g' s ss, n)
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where (g',n) = newNode x g
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newTransition :: Node -> Node -> b -> FA a b -> FA a b
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newTransition :: State -> State -> b -> FA a b -> FA a b
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newTransition f t l = onGraph (newEdge f t l)
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mapStates :: (a -> c) -> FA a b -> FA c b
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@@ -65,12 +65,12 @@ mapStates f = onGraph (nmap f)
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mapTransitions :: (b -> c) -> FA a b -> FA a c
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mapTransitions f = onGraph (emap f)
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asGraph :: FA a b -> Graph a b
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asGraph (FA g _ _) = g
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minimize :: FA () (Maybe a) -> FA () (Maybe a)
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minimize = onGraph mimimizeGr1
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onGraph :: (Graph State a b -> Graph State c d) -> FA a b -> FA c d
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onGraph f (FA g s ss) = FA (f g) s ss
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-- | Transform a standard finite automaton with labelled edges
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-- to one where the labels are on the nodes instead. This can add
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-- up to one extra node per edge.
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@@ -90,57 +90,51 @@ prFAGraphviz = Dot.prGraphviz . mkGraphviz
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--
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-- * Graphs
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--
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type Node = Int
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data Graph a b = Graph Node [(Node,a)] [(Node,Node,b)]
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data Graph n a b = Graph [n] [(n,a)] [(n,n,b)]
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deriving (Eq,Show)
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onGraph :: (Graph a b -> Graph c d) -> FA a b -> FA c d
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onGraph f (FA g s ss) = FA (f g) s ss
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type Node = Int
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-- graphToFA :: State -> [State] -> Graph a b -> FA a b
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-- graphToFA s fs (Graph _ ss ts) = buildFA s fs ss ts
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newGraph :: [n] -> Graph n a b
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newGraph ns = Graph ns [] []
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newGraph :: Graph a b
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newGraph = Graph 0 [] []
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nodes :: Graph a b -> [(Node,a)]
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nodes :: Graph n a b -> [(n,a)]
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nodes (Graph _ ns _) = ns
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edges :: Graph a b -> [(Node,Node,b)]
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edges :: Graph n a b -> [(n,n,b)]
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edges (Graph _ _ es) = es
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nmap :: (a -> c) -> Graph a b -> Graph c b
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nmap :: (a -> c) -> Graph n a b -> Graph n c b
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nmap f (Graph c ns es) = Graph c [(n,f l) | (n,l) <- ns] es
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emap :: (b -> c) -> Graph a b -> Graph a c
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emap :: (b -> c) -> Graph n a b -> Graph n a c
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emap f (Graph c ns es) = Graph c ns [(x,y,f l) | (x,y,l) <- es]
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newNode :: a -> Graph a b -> (Graph a b,State)
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newNode l (Graph c ns es) = (Graph s ((s,l):ns) es, s)
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where s = c+1
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newNode :: a -> Graph n a b -> (Graph n a b,n)
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newNode l (Graph (c:cs) ns es) = (Graph cs ((c,l):ns) es, c)
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newEdge :: State -> State -> b -> Graph a b -> Graph a b
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newEdge :: n -> n -> b -> Graph n a b -> Graph n a b
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newEdge f t l (Graph c ns es) = Graph c ns ((f,t,l):es)
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incoming :: Graph a b -> [(Node,a,[(Node,Node,b)])]
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incoming :: Ord n => Graph n a b -> [(n,a,[(n,n,b)])]
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incoming (Graph _ ns es) = snd $ mapAccumL f (sortBy compareDest es) (sortBy compareFst ns)
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where destIs d (_,t,_) = t == d
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compareDest (_,t1,_) (_,t2,_) = compare t1 t2
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compareFst p1 p2 = compare (fst p1) (fst p2)
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f es' (n,l) = let (nes,es'') = span (destIs n) es' in (es'',(n,l,nes))
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moveLabelsToNodes_ :: Eq a => Graph () (Maybe a) -> Graph (Maybe a) ()
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moveLabelsToNodes_ :: (Ord n, Eq a) => Graph n () (Maybe a) -> Graph n (Maybe a) ()
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moveLabelsToNodes_ gr@(Graph c _ _) = mimimizeGr2 $ Graph c' (zip ns ls) (concat ess)
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where is = incoming gr
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(c',is') = mapAccumL fixIncoming c is
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(ns,ls,ess) = unzip3 (concat is')
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fixIncoming :: Eq a => Node -> (Node,(),[(Node,Node,Maybe a)]) -> (Node,[(Node,Maybe a,[(Node,Node,())])])
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fixIncoming next c@(n,(),es) = (next', (n,Nothing,es'):newContexts)
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fixIncoming :: (Eq n, Eq a) => [n] -> (n,(),[(n,n,Maybe a)]) -> ([n],[(n,Maybe a,[(n,n,())])])
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fixIncoming cs c@(n,(),es) = (cs'', (n,Nothing,es'):newContexts)
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where ls = nub $ map getLabel es
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next' = next + length ls
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newNodes = zip [next..next'-1] ls
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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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@@ -151,22 +145,22 @@ fixIncoming next c@(n,(),es) = (next', (n,Nothing,es'):newContexts)
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++ [ (y,x,()) | (f,_,l') <- cyc, l == l', (y,_) <- newNodes]
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newContexts = [ (x, l, to x l) | (x,l) <- newNodes ]
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getLabel :: (Node,Node,b) -> b
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getLabel :: (n,n,b) -> b
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getLabel (_,_,l) = l
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mimimizeGr1 :: Graph () (Maybe a) -> Graph () (Maybe a)
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mimimizeGr1 :: Eq n => Graph n () (Maybe a) -> Graph n () (Maybe a)
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mimimizeGr1 = removeEmptyLoops1
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removeEmptyLoops1 :: Graph () (Maybe a) -> Graph () (Maybe a)
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removeEmptyLoops1 :: Eq n => Graph n () (Maybe a) -> Graph n () (Maybe a)
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removeEmptyLoops1 (Graph c ns es) = Graph c ns (filter (not . isEmptyLoop) es)
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where isEmptyLoop (f,t,Nothing) | f == t = True
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isEmptyLoop _ = False
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mimimizeGr2 :: Graph (Maybe a) () -> Graph (Maybe a) ()
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mimimizeGr2 :: Graph n (Maybe a) () -> Graph n (Maybe a) ()
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mimimizeGr2 = id
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removeDuplicateEdges :: Ord b => Graph a b -> Graph a b
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removeDuplicateEdges (Graph c ns es) = Graph c ns (sortNub es)
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removeDuplicateEdges :: (Eq n, Ord b) => Graph n a b -> Graph n a b
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removeDuplicateEdges (Graph c ns es) = Graph c ns (nub es)
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reverseGraph :: Graph a b -> Graph a b
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reverseGraph :: Graph n a b -> Graph n a b
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reverseGraph (Graph c ns es) = Graph c ns [ (t,f,l) | (f,t,l) <- es ]
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