-
-- | Basic operations on graphs.
--
+-- TODO: refine coalescing crieteria
+
+{-# OPTIONS -fno-warn-missing-signatures #-}
+
module GraphOps (
addNode, delNode, getNode, lookupNode, modNode,
size,
addCoalesce, delCoalesce,
addExclusion,
addPreference,
+ coalesceNodes, coalesceGraph,
+ freezeNode, freezeOneInGraph, freezeAllInGraph,
+ scanGraph,
setColor,
- verify,
+ validateGraph,
slurpNodeConflictCount
)
where
import Data.List hiding (union)
import Data.Maybe
-
-- | Lookup a node from the graph.
lookupNode
:: Uniquable k
= let Just node = lookupNode graph k
-- delete conflict edges from other nodes to this one.
- graph1 = foldl' (\g k1 -> delConflict k1 k g) graph
+ graph1 = foldl' (\g k1 -> let Just g' = delConflict k1 k g in g') graph
$ uniqSetToList (nodeConflicts node)
-- delete coalesce edge from other nodes to this one.
- graph2 = foldl' (\g k1 -> delCoalesce k1 k g) graph1
+ graph2 = foldl' (\g k1 -> let Just g' = delCoalesce k1 k g in g') graph1
$ uniqSetToList (nodeCoalesce node)
-- delete the node
in graph3
--- | Modify a node in the graph
+-- | Modify a node in the graph.
+-- returns Nothing if the node isn't present.
+--
modNode :: Uniquable k
=> (Node k cls color -> Node k cls color)
- -> k -> Graph k cls color -> Graph k cls color
+ -> k -> Graph k cls color -> Maybe (Graph k cls color)
modNode f k graph
- = case getNode graph k of
- Node{} -> graphMapModify
+ = case lookupNode graph k of
+ Just Node{}
+ -> Just
+ $ graphMapModify
(\fm -> let Just node = lookupUFM fm k
node' = f node
in addToUFM fm k node')
graph
+ Nothing -> Nothing
+
-- | Get the size of the graph, O(n)
size :: Uniquable k
union graph1 graph2
= Graph
{ graphMap = plusUFM (graphMap graph1) (graphMap graph2) }
-
-
-- | Add a conflict between nodes to the graph, creating the nodes required.
-- | Delete a conflict edge. k1 -> k2
+-- returns Nothing if the node isn't in the graph
delConflict
:: Uniquable k
=> k -> k
- -> Graph k cls color -> Graph k cls color
+ -> Graph k cls color -> Maybe (Graph k cls color)
delConflict k1 k2
= modNode
| otherwise
= graphMapModify
- $ (\fm -> foldr (\u -> addConflictSet1 u getClass conflicts) fm
+ $ (\fm -> foldl' (\g u -> addConflictSet1 u getClass conflicts g) fm
$ uniqSetToList conflicts)
addConflictSet1 u getClass set
- = let set' = delOneFromUniqSet set u
- in adjustWithDefaultUFM
+ = case delOneFromUniqSet set u of
+ set' -> adjustWithDefaultUFM
(\node -> node { nodeConflicts = unionUniqSets set' (nodeConflicts node) } )
(newNode u (getClass u)) { nodeConflicts = set' }
u
delCoalesce
:: Uniquable k
=> k -> k
- -> Graph k cls color -> Graph k cls color
+ -> Graph k cls color -> Maybe (Graph k cls color)
delCoalesce k1 k2
= modNode (\node -> node { nodeCoalesce = delOneFromUniqSet (nodeCoalesce node) k2 })
(newNode u c) { nodePreference = [color] }
u
-
--- | Verify the internal structure of a graph
--- all its edges should point to valid nodes
+
+-- | Do agressive coalescing on this graph.
+-- returns the new graph and the list of pairs of nodes that got coaleced together.
+-- for each pair, the resulting node will have the least key and be second in the pair.
+--
+coalesceGraph
+ :: (Uniquable k, Ord k, Eq cls, Outputable k)
+ => Bool -- ^ If True, coalesce nodes even if this might make the graph
+ -- less colorable (aggressive coalescing)
+ -> Triv k cls color
+ -> Graph k cls color
+ -> (Graph k cls color, [(k, k)])
+
+coalesceGraph aggressive triv graph
+ = coalesceGraph' aggressive triv graph []
+
+coalesceGraph' aggressive triv graph kkPairsAcc
+ = let
+ -- find all the nodes that have coalescence edges
+ cNodes = filter (\node -> not $ isEmptyUniqSet (nodeCoalesce node))
+ $ eltsUFM $ graphMap graph
+
+ -- build a list of pairs of keys for node's we'll try and coalesce
+ -- every pair of nodes will appear twice in this list
+ -- ie [(k1, k2), (k2, k1) ... ]
+ -- This is ok, GrapOps.coalesceNodes handles this and it's convenient for
+ -- build a list of what nodes get coalesced together for later on.
+ --
+ cList = [ (nodeId node1, k2)
+ | node1 <- cNodes
+ , k2 <- uniqSetToList $ nodeCoalesce node1 ]
+
+ -- do the coalescing, returning the new graph and a list of pairs of keys
+ -- that got coalesced together.
+ (graph', mPairs)
+ = mapAccumL (coalesceNodes aggressive triv) graph cList
+
+ -- keep running until there are no more coalesces can be found
+ in case catMaybes mPairs of
+ [] -> (graph', kkPairsAcc)
+ pairs -> coalesceGraph' aggressive triv graph' (pairs ++ kkPairsAcc)
+
+
+-- | Coalesce this pair of nodes unconditionally / agressively.
+-- The resulting node is the one with the least key.
+--
+-- returns: Just the pair of keys if the nodes were coalesced
+-- the second element of the pair being the least one
--
-verify :: Uniquable k
+-- Nothing if either of the nodes weren't in the graph
+
+coalesceNodes
+ :: (Uniquable k, Ord k, Eq cls, Outputable k)
+ => Bool -- ^ If True, coalesce nodes even if this might make the graph
+ -- less colorable (aggressive coalescing)
+ -> Triv k cls color
+ -> Graph k cls color
+ -> (k, k) -- ^ keys of the nodes to be coalesced
+ -> (Graph k cls color, Maybe (k, k))
+
+coalesceNodes aggressive triv graph (k1, k2)
+ | (kMin, kMax) <- if k1 < k2
+ then (k1, k2)
+ else (k2, k1)
+
+ -- the nodes being coalesced must be in the graph
+ , Just nMin <- lookupNode graph kMin
+ , Just nMax <- lookupNode graph kMax
+
+ -- can't coalesce conflicting modes
+ , not $ elementOfUniqSet kMin (nodeConflicts nMax)
+ , not $ elementOfUniqSet kMax (nodeConflicts nMin)
+
+ = coalesceNodes_merge aggressive triv graph kMin kMax nMin nMax
+
+ -- don't do the coalescing after all
+ | otherwise
+ = (graph, Nothing)
+
+coalesceNodes_merge aggressive triv graph kMin kMax nMin nMax
+
+ -- sanity checks
+ | nodeClass nMin /= nodeClass nMax
+ = error "GraphOps.coalesceNodes: can't coalesce nodes of different classes."
+
+ | not (isNothing (nodeColor nMin) && isNothing (nodeColor nMax))
+ = error "GraphOps.coalesceNodes: can't coalesce colored nodes."
+
+ ---
+ | otherwise
+ = let
+ -- the new node gets all the edges from its two components
+ node =
+ Node { nodeId = kMin
+ , nodeClass = nodeClass nMin
+ , nodeColor = Nothing
+
+ -- nodes don't conflict with themselves..
+ , nodeConflicts
+ = (unionUniqSets (nodeConflicts nMin) (nodeConflicts nMax))
+ `delOneFromUniqSet` kMin
+ `delOneFromUniqSet` kMax
+
+ , nodeExclusions = unionUniqSets (nodeExclusions nMin) (nodeExclusions nMax)
+ , nodePreference = nodePreference nMin ++ nodePreference nMax
+
+ -- nodes don't coalesce with themselves..
+ , nodeCoalesce
+ = (unionUniqSets (nodeCoalesce nMin) (nodeCoalesce nMax))
+ `delOneFromUniqSet` kMin
+ `delOneFromUniqSet` kMax
+ }
+
+ in coalesceNodes_check aggressive triv graph kMin kMax node
+
+coalesceNodes_check aggressive triv graph kMin kMax node
+
+ -- Unless we're coalescing aggressively, if the result node is not trivially
+ -- colorable then don't do the coalescing.
+ | not aggressive
+ , not $ triv (nodeClass node) (nodeConflicts node) (nodeExclusions node)
+ = (graph, Nothing)
+
+ | otherwise
+ = let -- delete the old nodes from the graph and add the new one
+ graph' = addNode kMin node
+ $ delNode kMin
+ $ delNode kMax
+ $ graph
+
+ in (graph', Just (kMax, kMin))
+
+
+-- | Freeze a node
+-- This is for the iterative coalescer.
+-- By freezing a node we give up on ever coalescing it.
+-- Move all its coalesce edges into the frozen set - and update
+-- back edges from other nodes.
+--
+freezeNode
+ :: Uniquable k
+ => k -- ^ key of the node to freeze
+ -> Graph k cls color -- ^ the graph
+ -> Graph k cls color -- ^ graph with that node frozen
+
+freezeNode k
+ = graphMapModify
+ $ \fm ->
+ let
+ -- freeze all the edges in the node to be frozen
+ Just node = lookupUFM fm k
+ node' = node
+ { nodeCoalesce = emptyUniqSet }
+
+ fm1 = addToUFM fm k node'
+
+ -- update back edges pointing to this node
+ freezeEdge k node
+ = if elementOfUniqSet k (nodeCoalesce node)
+ then node
+ { nodeCoalesce = delOneFromUniqSet (nodeCoalesce node) k }
+ else panic "GraphOps.freezeNode: edge to freeze wasn't in the coalesce set"
+
+ fm2 = foldUniqSet (adjustUFM (freezeEdge k)) fm1
+ $ nodeCoalesce node
+
+ in fm2
+
+
+-- | Freeze one node in the graph
+-- This if for the iterative coalescer.
+-- Look for a move related node of low degree and freeze it.
+--
+-- We probably don't need to scan the whole graph looking for the node of absolute
+-- lowest degree. Just sample the first few and choose the one with the lowest
+-- degree out of those. Also, we don't make any distinction between conflicts of different
+-- classes.. this is just a heuristic, after all.
+--
+-- IDEA: freezing a node might free it up for Simplify.. would be good to check for triv
+-- right here, and add it to a worklist if known triv/non-move nodes.
+--
+freezeOneInGraph
+ :: (Uniquable k, Outputable k)
+ => Graph k cls color
+ -> ( Graph k cls color -- the new graph
+ , Bool ) -- whether we found a node to freeze
+
+freezeOneInGraph graph
+ = let compareNodeDegree n1 n2
+ = compare (sizeUniqSet $ nodeConflicts n1) (sizeUniqSet $ nodeConflicts n2)
+
+ candidates
+ = sortBy compareNodeDegree
+ $ take 5 -- 5 isn't special, it's just a small number.
+ $ scanGraph (\node -> not $ isEmptyUniqSet (nodeCoalesce node)) graph
+
+ in case candidates of
+
+ -- there wasn't anything available to freeze
+ [] -> (graph, False)
+
+ -- we found something to freeze
+ (n : _)
+ -> ( freezeNode (nodeId n) graph
+ , True)
+
+
+-- | Freeze all the nodes in the graph
+-- for debugging the iterative allocator.
+--
+freezeAllInGraph
+ :: (Uniquable k, Outputable k)
=> Graph k cls color
- -> Bool
-
-verify graph
- = let edges = unionUniqSets
- (unionManyUniqSets
- (map nodeConflicts $ eltsUFM $ graphMap graph))
- (unionManyUniqSets
- (map nodeCoalesce $ eltsUFM $ graphMap graph))
-
+ -> Graph k cls color
+
+freezeAllInGraph graph
+ = foldr freezeNode graph
+ $ map nodeId
+ $ eltsUFM $ graphMap graph
+
+
+-- | Find all the nodes in the graph that meet some criteria
+--
+scanGraph
+ :: Uniquable k
+ => (Node k cls color -> Bool)
+ -> Graph k cls color
+ -> [Node k cls color]
+
+scanGraph match graph
+ = filter match $ eltsUFM $ graphMap graph
+
+
+-- | validate the internal structure of a graph
+-- all its edges should point to valid nodes
+-- if they don't then throw an error
+--
+validateGraph
+ :: (Uniquable k, Outputable k)
+ => SDoc
+ -> Graph k cls color
+ -> Graph k cls color
+
+validateGraph doc graph
+ = let edges = unionManyUniqSets
+ ( (map nodeConflicts $ eltsUFM $ graphMap graph)
+ ++ (map nodeCoalesce $ eltsUFM $ graphMap graph))
+
nodes = mkUniqSet $ map nodeId $ eltsUFM $ graphMap graph
badEdges = minusUniqSet edges nodes
in if isEmptyUniqSet badEdges
- then True
- else False
+ then graph
+ else pprPanic "GraphOps.validateGraph"
+ ( text "-- bad edges"
+ $$ vcat (map ppr $ uniqSetToList badEdges)
+ $$ text "----------------------------"
+ $$ doc)
-- | Slurp out a map of how many nodes had a certain number of conflict neighbours
slurpNodeConflictCount graph
= addListToUFM_C
- (\(c1, n1) (c2, n2) -> (c1, n1 + n2))
+ (\(c1, n1) (_, n2) -> (c1, n1 + n2))
emptyUFM
$ map (\node
-> let count = sizeUniqSet $ nodeConflicts node
u
+{-# INLINE adjustWithDefaultUFM #-}
adjustWithDefaultUFM
:: Uniquable k
=> (a -> a) -> a -> k
adjustWithDefaultUFM f def k map
= addToUFM_C
- (\old new -> f old)
+ (\old _ -> f old)
map
k def
-
+{-# INLINE adjustUFM #-}
adjustUFM
:: Uniquable k
=> (a -> a)
= case lookupUFM map k of
Nothing -> map
Just a -> addToUFM map k (f a)
-