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|
-- |An efficient implementation of 'Data.Graph.Inductive.Graph.Graph'
-- using big-endian patricia tree (i.e. "Data.IntMap").
--
-- This module provides the following specialised functions to gain
-- more performance, using GHC's RULES pragma:
--
-- * 'Data.Graph.Inductive.Graph.insNode'
--
-- * 'Data.Graph.Inductive.Graph.insEdge'
--
-- * 'Data.Graph.Inductive.Graph.gmap'
--
-- * 'Data.Graph.Inductive.Graph.nmap'
--
-- * 'Data.Graph.Inductive.Graph.emap'
module Data.Graph.Inductive.PatriciaTree
( Gr
, UGr
)
where
import Data.Graph.Inductive.Graph
import Data.IntMap (IntMap)
import qualified Data.IntMap as IM
import Data.List
import Data.Maybe
data Gr a b = Gr (GraphRep a b)
type GraphRep a b = IntMap (Context' a b)
type Context' a b = (IntMap b, a, IntMap b)
type UGr = Gr () ()
instance Graph Gr where
-- required members
empty = Gr IM.empty
isEmpty (Gr g) = IM.null g
match = matchGr
mkGraph vs es = (insEdges' . insNodes vs) empty
where
insEdges' g = foldl' (flip insEdge) g es
labNodes (Gr g) = [ (node, label)
| (node, (_, label, _)) <- IM.toList g ]
-- overriding members for efficiency
noNodes (Gr g) = IM.size g
nodeRange (Gr g)
| IM.null g = (0, 0)
| otherwise = (ix (IM.minViewWithKey g), ix (IM.maxViewWithKey g))
where
ix = fst . fst . fromJust
labEdges (Gr g) = do (node, (_, _, s)) <- IM.toList g
(next, label) <- IM.toList s
return (node, next, label)
instance DynGraph Gr where
(p, v, l, s) & (Gr g)
= let !g1 = IM.insert v (fromAdj p, l, fromAdj s) g
!g2 = addSucc g1 v p
!g3 = addPred g2 v s
in
Gr g3
matchGr :: Node -> Gr a b -> Decomp Gr a b
matchGr node (Gr g)
= case IM.lookup node g of
Nothing
-> (Nothing, Gr g)
Just (p, label, s)
-> let !g1 = IM.delete node g
!p' = IM.delete node p
!s' = IM.delete node s
!g2 = clearPred g1 node (IM.keys s')
!g3 = clearSucc g2 node (IM.keys p')
in
(Just (toAdj p', node, label, toAdj s), Gr g3)
{-# RULES
"insNode/Data.Graph.Inductive.PatriciaTree" insNode = fastInsNode
#-}
fastInsNode :: LNode a -> Gr a b -> Gr a b
fastInsNode (v, l) (Gr g) = g' `seq` Gr g'
where
g' = IM.insert v (IM.empty, l, IM.empty) g
{-# RULES
"insEdge/Data.Graph.Inductive.PatriciaTree" insEdge = fastInsEdge
#-}
fastInsEdge :: LEdge b -> Gr a b -> Gr a b
fastInsEdge (v, w, l) (Gr g) = g2 `seq` Gr g2
where
g1 = IM.adjust addSucc' v g
g2 = IM.adjust addPred' w g1
addSucc' (ps, l', ss) = (ps, l', IM.insert w l ss)
addPred' (ps, l', ss) = (IM.insert v l ps, l', ss)
{-# RULES
"gmap/Data.Graph.Inductive.PatriciaTree" gmap = fastGMap
#-}
fastGMap :: forall a b c d. (Context a b -> Context c d) -> Gr a b -> Gr c d
fastGMap f (Gr g) = Gr (IM.mapWithKey f' g)
where
f' :: Node -> Context' a b -> Context' c d
f' = ((fromContext . f) .) . toContext
{-# RULES
"nmap/Data.Graph.Inductive.PatriciaTree" nmap = fastNMap
#-}
fastNMap :: forall a b c. (a -> c) -> Gr a b -> Gr c b
fastNMap f (Gr g) = Gr (IM.map f' g)
where
f' :: Context' a b -> Context' c b
f' (ps, a, ss) = (ps, f a, ss)
{-# RULES
"emap/Data.Graph.Inductive.PatriciaTree" emap = fastEMap
#-}
fastEMap :: forall a b c. (b -> c) -> Gr a b -> Gr a c
fastEMap f (Gr g) = Gr (IM.map f' g)
where
f' :: Context' a b -> Context' a c
f' (ps, a, ss) = (IM.map f ps, a, IM.map f ss)
toAdj :: IntMap b -> Adj b
toAdj = map swap . IM.toList
fromAdj :: Adj b -> IntMap b
fromAdj = IM.fromList . map swap
toContext :: Node -> Context' a b -> Context a b
toContext v (ps, a, ss)
= (toAdj ps, v, a, toAdj ss)
fromContext :: Context a b -> Context' a b
fromContext (ps, _, a, ss)
= (fromAdj ps, a, fromAdj ss)
swap :: (a, b) -> (b, a)
swap (a, b) = (b, a)
addSucc :: GraphRep a b -> Node -> [(b, Node)] -> GraphRep a b
addSucc g _ [] = g
addSucc g v ((l, p) : rest) = addSucc g' v rest
where
g' = IM.adjust f p g
f (ps, l', ss) = (ps, l', IM.insert v l ss)
addPred :: GraphRep a b -> Node -> [(b, Node)] -> GraphRep a b
addPred g _ [] = g
addPred g v ((l, s) : rest) = addPred g' v rest
where
g' = IM.adjust f s g
f (ps, l', ss) = (IM.insert v l ps, l', ss)
clearSucc :: GraphRep a b -> Node -> [Node] -> GraphRep a b
clearSucc g _ [] = g
clearSucc g v (p:rest) = clearSucc g' v rest
where
g' = IM.adjust f p g
f (ps, l, ss) = (ps, l, IM.delete v ss)
clearPred :: GraphRep a b -> Node -> [Node] -> GraphRep a b
clearPred g _ [] = g
clearPred g v (s:rest) = clearPred g' v rest
where
g' = IM.adjust f s g
f (ps, l, ss) = (IM.delete v ps, l, ss)
|
