Parametrized the Graph type over the node type.

This commit is contained in:
bringert
2005-09-14 14:29:53 +00:00
parent a8bc5590af
commit 6381c27bff

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