module Digraph(
-- At present the only one with a "nice" external interface
- stronglyConnComp, stronglyConnCompR, SCC(..),
+ stronglyConnComp, stronglyConnCompR, SCC(..), flattenSCC, flattenSCCs,
Graph, Vertex,
graphFromEdges, buildG, transposeG, reverseE, outdegree, indegree,
#define ARR_ELT (COMMA)
-import Array
-import List
+import Util ( sortLt )
+
+-- Extensions
import ST
-import ArrBase
+
+-- std interfaces
import Maybe
-import Util ( sortLt )
+import Array
+import List
+import Outputable
\end{code}
data SCC vertex = AcyclicSCC vertex
| CyclicSCC [vertex]
+flattenSCCs :: [SCC a] -> [a]
+flattenSCCs = concatMap flattenSCC
+
+flattenSCC (AcyclicSCC v) = [v]
+flattenSCC (CyclicSCC vs) = vs
+
+instance Outputable a => Outputable (SCC a) where
+ ppr (AcyclicSCC v) = text "NONREC" $$ (nest 3 (ppr v))
+ ppr (CyclicSCC vs) = text "REC" $$ (nest 3 (vcat (map ppr vs)))
+\end{code}
+
+\begin{code}
stronglyConnComp
:: Ord key
=> [(node, key, [key])] -- The graph; its ok for the
mapT f t = array (bounds t) [ (,) v (f v (t!v)) | v <- indices t ]
buildG :: Bounds -> [Edge] -> Graph
-#ifdef REALLY_HASKELL_1_3
buildG bounds edges = accumArray (flip (:)) [] bounds edges
-#else
-buildG bounds edges = accumArray (flip (:)) [] bounds [(,) k v | (k,v) <- edges]
-#endif
transposeG :: Graph -> Graph
transposeG g = buildG (bounds g) (reverseE g)
edges1 = zipWith (,) [0..] sorted_edges
graph = array bounds [(,) v (mapMaybe key_vertex ks) | (,) v (_, _, ks) <- edges1]
- key_map = array bounds [(,) v k | (,) v (_, k, _ ) <- edges1]
+ key_map = array bounds [(,) v k | (,) v (_, k, _ ) <- edges1]
vertex_map = array bounds edges1
(_,k1,_) `lt` (_,k2,_) = case k1 `compare` k2 of { LT -> True; other -> False }
%************************************************************************
\begin{code}
-type Set s = MutableArray s Vertex Bool
+type Set s = STArray s Vertex Bool
mkEmpty :: Bounds -> ST s (Set s)
-mkEmpty bnds = newArray bnds False
+mkEmpty bnds = newSTArray bnds False
contains :: Set s -> Vertex -> ST s Bool
-contains m v = readArray m v
+contains m v = readSTArray m v
include :: Set s -> Vertex -> ST s ()
-include m v = writeArray m v True
+include m v = writeSTArray m v True
\end{code}
\begin{code}
\begin{code}
bcc :: Graph -> Forest [Vertex]
-bcc g = (concat . map bicomps . map (label g dnum)) forest
+bcc g = (concat . map bicomps . map (do_label g dnum)) forest
where forest = dff g
dnum = preArr (bounds g) forest
-label :: Graph -> Table Int -> Tree Vertex -> Tree (Vertex,Int,Int)
-label g dnum (Node v ts) = Node (v,dnum!v,lv) us
- where us = map (label g dnum) ts
+do_label :: Graph -> Table Int -> Tree Vertex -> Tree (Vertex,Int,Int)
+do_label g dnum (Node v ts) = Node (v,dnum!v,lv) us
+ where us = map (do_label g dnum) ts
lv = minimum ([dnum!v] ++ [dnum!w | w <- g!v]
++ [lu | Node (u,du,lu) xs <- us])