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+-- | Basic operations on graphs.
+--
+
+{-# OPTIONS_GHC -Wno-incomplete-uni-patterns #-}
+
+module GHC.Data.Graph.Ops
+ ( addNode
+ , delNode
+ , getNode
+ , lookupNode
+ , modNode
+
+ , size
+ , union
+
+ , addConflict
+ , delConflict
+ , addConflicts
+
+ , addCoalesce
+ , delCoalesce
+
+ , addExclusion
+ , addExclusions
+
+ , addPreference
+ , coalesceNodes
+ , coalesceGraph
+ , freezeNode
+ , freezeOneInGraph
+ , freezeAllInGraph
+ , scanGraph
+ , setColor
+ , validateGraph
+ , slurpNodeConflictCount
+ )
+where
+
+import GHC.Prelude
+
+import GHC.Data.Graph.Base
+
+import GHC.Utils.Outputable
+import GHC.Types.Unique
+import GHC.Types.Unique.Set
+import GHC.Types.Unique.FM
+
+import Data.List hiding (union)
+import Data.Maybe
+
+-- | Lookup a node from the graph.
+lookupNode
+ :: Uniquable k
+ => Graph k cls color
+ -> k -> Maybe (Node k cls color)
+
+lookupNode graph k
+ = lookupUFM (graphMap graph) k
+
+
+-- | Get a node from the graph, throwing an error if it's not there
+getNode
+ :: Uniquable k
+ => Graph k cls color
+ -> k -> Node k cls color
+
+getNode graph k
+ = case lookupUFM (graphMap graph) k of
+ Just node -> node
+ Nothing -> panic "ColorOps.getNode: not found"
+
+
+-- | Add a node to the graph, linking up its edges
+addNode :: Uniquable k
+ => k -> Node k cls color
+ -> Graph k cls color -> Graph k cls color
+
+addNode k node graph
+ = let
+ -- add back conflict edges from other nodes to this one
+ map_conflict =
+ nonDetFoldUniqSet
+ -- It's OK to use nonDetFoldUFM here because the
+ -- operation is commutative
+ (adjustUFM_C (\n -> n { nodeConflicts =
+ addOneToUniqSet (nodeConflicts n) k}))
+ (graphMap graph)
+ (nodeConflicts node)
+
+ -- add back coalesce edges from other nodes to this one
+ map_coalesce =
+ nonDetFoldUniqSet
+ -- It's OK to use nonDetFoldUFM here because the
+ -- operation is commutative
+ (adjustUFM_C (\n -> n { nodeCoalesce =
+ addOneToUniqSet (nodeCoalesce n) k}))
+ map_conflict
+ (nodeCoalesce node)
+
+ in graph
+ { graphMap = addToUFM map_coalesce k node}
+
+
+-- | Delete a node and all its edges from the graph.
+delNode :: (Uniquable k)
+ => k -> Graph k cls color -> Maybe (Graph k cls color)
+
+delNode k graph
+ | Just node <- lookupNode graph k
+ = let -- delete conflict edges from other nodes to this one.
+ graph1 = foldl' (\g k1 -> let Just g' = delConflict k1 k g in g') graph
+ $ nonDetEltsUniqSet (nodeConflicts node)
+
+ -- delete coalesce edge from other nodes to this one.
+ graph2 = foldl' (\g k1 -> let Just g' = delCoalesce k1 k g in g') graph1
+ $ nonDetEltsUniqSet (nodeCoalesce node)
+ -- See Note [Unique Determinism and code generation]
+
+ -- delete the node
+ graph3 = graphMapModify (\fm -> delFromUFM fm k) graph2
+
+ in Just graph3
+
+ | otherwise
+ = Nothing
+
+
+-- | 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 -> Maybe (Graph k cls color)
+
+modNode f k graph
+ = 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 :: Graph k cls color -> Int
+
+size graph
+ = sizeUFM $ graphMap graph
+
+
+-- | Union two graphs together.
+union :: Graph k cls color -> Graph k cls color -> Graph k cls color
+
+union graph1 graph2
+ = Graph
+ { graphMap = plusUFM (graphMap graph1) (graphMap graph2) }
+
+
+-- | Add a conflict between nodes to the graph, creating the nodes required.
+-- Conflicts are virtual regs which need to be colored differently.
+addConflict
+ :: Uniquable k
+ => (k, cls) -> (k, cls)
+ -> Graph k cls color -> Graph k cls color
+
+addConflict (u1, c1) (u2, c2)
+ = let addNeighbor u c u'
+ = adjustWithDefaultUFM
+ (\node -> node { nodeConflicts = addOneToUniqSet (nodeConflicts node) u' })
+ (newNode u c) { nodeConflicts = unitUniqSet u' }
+ u
+
+ in graphMapModify
+ ( addNeighbor u1 c1 u2
+ . addNeighbor u2 c2 u1)
+
+
+-- | 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 -> Maybe (Graph k cls color)
+
+delConflict k1 k2
+ = modNode
+ (\node -> node { nodeConflicts = delOneFromUniqSet (nodeConflicts node) k2 })
+ k1
+
+
+-- | Add some conflicts to the graph, creating nodes if required.
+-- All the nodes in the set are taken to conflict with each other.
+addConflicts
+ :: Uniquable k
+ => UniqSet k -> (k -> cls)
+ -> Graph k cls color -> Graph k cls color
+
+addConflicts conflicts getClass
+
+ -- just a single node, but no conflicts, create the node anyway.
+ | (u : []) <- nonDetEltsUniqSet conflicts
+ = graphMapModify
+ $ adjustWithDefaultUFM
+ id
+ (newNode u (getClass u))
+ u
+
+ | otherwise
+ = graphMapModify
+ $ \fm -> foldl' (\g u -> addConflictSet1 u getClass conflicts g) fm
+ $ nonDetEltsUniqSet conflicts
+ -- See Note [Unique Determinism and code generation]
+
+
+addConflictSet1 :: Uniquable k
+ => k -> (k -> cls) -> UniqSet k
+ -> UniqFM (Node k cls color)
+ -> UniqFM (Node k cls color)
+addConflictSet1 u getClass set
+ = case delOneFromUniqSet set u of
+ set' -> adjustWithDefaultUFM
+ (\node -> node { nodeConflicts = unionUniqSets set' (nodeConflicts node) } )
+ (newNode u (getClass u)) { nodeConflicts = set' }
+ u
+
+
+-- | Add an exclusion to the graph, creating nodes if required.
+-- These are extra colors that the node cannot use.
+addExclusion
+ :: (Uniquable k, Uniquable color)
+ => k -> (k -> cls) -> color
+ -> Graph k cls color -> Graph k cls color
+
+addExclusion u getClass color
+ = graphMapModify
+ $ adjustWithDefaultUFM
+ (\node -> node { nodeExclusions = addOneToUniqSet (nodeExclusions node) color })
+ (newNode u (getClass u)) { nodeExclusions = unitUniqSet color }
+ u
+
+addExclusions
+ :: (Uniquable k, Uniquable color)
+ => k -> (k -> cls) -> [color]
+ -> Graph k cls color -> Graph k cls color
+
+addExclusions u getClass colors graph
+ = foldr (addExclusion u getClass) graph colors
+
+
+-- | Add a coalescence edge to the graph, creating nodes if required.
+-- It is considered adventageous to assign the same color to nodes in a coalesence.
+addCoalesce
+ :: Uniquable k
+ => (k, cls) -> (k, cls)
+ -> Graph k cls color -> Graph k cls color
+
+addCoalesce (u1, c1) (u2, c2)
+ = let addCoalesce u c u'
+ = adjustWithDefaultUFM
+ (\node -> node { nodeCoalesce = addOneToUniqSet (nodeCoalesce node) u' })
+ (newNode u c) { nodeCoalesce = unitUniqSet u' }
+ u
+
+ in graphMapModify
+ ( addCoalesce u1 c1 u2
+ . addCoalesce u2 c2 u1)
+
+
+-- | Delete a coalescence edge (k1 -> k2) from the graph.
+delCoalesce
+ :: Uniquable k
+ => k -> k
+ -> Graph k cls color -> Maybe (Graph k cls color)
+
+delCoalesce k1 k2
+ = modNode (\node -> node { nodeCoalesce = delOneFromUniqSet (nodeCoalesce node) k2 })
+ k1
+
+
+-- | Add a color preference to the graph, creating nodes if required.
+-- The most recently added preference is the most preferred.
+-- The algorithm tries to assign a node it's preferred color if possible.
+--
+addPreference
+ :: Uniquable k
+ => (k, cls) -> color
+ -> Graph k cls color -> Graph k cls color
+
+addPreference (u, c) color
+ = graphMapModify
+ $ adjustWithDefaultUFM
+ (\node -> node { nodePreference = color : (nodePreference node) })
+ (newNode u c) { nodePreference = [color] }
+ u
+
+
+-- | Do aggressive coalescing on this graph.
+-- returns the new graph and the list of pairs of nodes that got coalesced 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)]) -- pairs of nodes that were coalesced, in the order that the
+ -- coalescing was applied.
+
+coalesceGraph aggressive triv graph
+ = coalesceGraph' aggressive triv graph []
+
+coalesceGraph'
+ :: (Uniquable k, Ord k, Eq cls, Outputable k)
+ => Bool
+ -> Triv k cls color
+ -> Graph k cls color
+ -> [(k, k)]
+ -> ( Graph k cls color
+ , [(k, k)])
+coalesceGraph' aggressive triv graph kkPairsAcc
+ = let
+ -- find all the nodes that have coalescence edges
+ cNodes = filter (\node -> not $ isEmptyUniqSet (nodeCoalesce node))
+ $ nonDetEltsUFM $ graphMap graph
+ -- See Note [Unique Determinism and code generation]
+
+ -- 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 <- nonDetEltsUniqSet $ nodeCoalesce node1 ]
+ -- See Note [Unique Determinism and code generation]
+
+ -- 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', reverse kkPairsAcc)
+ pairs -> coalesceGraph' aggressive triv graph' (reverse pairs ++ kkPairsAcc)
+
+
+-- | Coalesce this pair of nodes unconditionally \/ aggressively.
+-- 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
+--
+-- Nothing if either of the nodes weren't in the graph
+
+coalesceNodes
+ :: (Uniquable k, Ord k, Eq cls)
+ => 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)
+
+ -- can't coalesce the same node
+ , nodeId nMin /= nodeId nMax
+
+ = coalesceNodes_merge aggressive triv graph kMin kMax nMin nMax
+
+ -- don't do the coalescing after all
+ | otherwise
+ = (graph, Nothing)
+
+coalesceNodes_merge
+ :: (Uniquable k, Eq cls)
+ => Bool
+ -> Triv k cls color
+ -> Graph k cls color
+ -> k -> k
+ -> Node k cls color
+ -> Node k cls color
+ -> (Graph k cls color, Maybe (k, k))
+
+coalesceNodes_merge aggressive triv graph kMin kMax nMin nMax
+
+ -- sanity checks
+ | nodeClass nMin /= nodeClass nMax
+ = error "GHC.Data.Graph.Ops.coalesceNodes: can't coalesce nodes of different classes."
+
+ | not (isNothing (nodeColor nMin) && isNothing (nodeColor nMax))
+ = error "GHC.Data.Graph.Ops.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
+ :: Uniquable k
+ => Bool
+ -> Triv k cls color
+ -> Graph k cls color
+ -> k -> k
+ -> Node k cls color
+ -> (Graph k cls color, Maybe (k, k))
+
+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
+ Just graph1 = delNode kMax graph
+ Just graph2 = delNode kMin graph1
+ graph3 = addNode kMin node graph2
+
+ in (graph3, 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 node -- panic "GHC.Data.Graph.Ops.freezeNode: edge to freeze wasn't in the coalesce set"
+ -- If the edge isn't actually in the coelesce set then just ignore it.
+
+ fm2 = nonDetFoldUniqSet (adjustUFM_C (freezeEdge k)) fm1
+ -- It's OK to use nonDetFoldUFM here because the operation
+ -- is commutative
+ $ 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)
+ => 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)
+ => Graph k cls color
+ -> Graph k cls color
+
+freezeAllInGraph graph
+ = foldr freezeNode graph
+ $ map nodeId
+ $ nonDetEltsUFM $ graphMap graph
+ -- See Note [Unique Determinism and code generation]
+
+
+-- | Find all the nodes in the graph that meet some criteria
+--
+scanGraph
+ :: (Node k cls color -> Bool)
+ -> Graph k cls color
+ -> [Node k cls color]
+
+scanGraph match graph
+ = filter match $ nonDetEltsUFM $ graphMap graph
+ -- See Note [Unique Determinism and code generation]
+
+
+-- | 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, Eq color)
+ => SDoc -- ^ extra debugging info to display on error
+ -> Bool -- ^ whether this graph is supposed to be colored.
+ -> Graph k cls color -- ^ graph to validate
+ -> Graph k cls color -- ^ validated graph
+
+validateGraph doc isColored graph
+
+ -- Check that all edges point to valid nodes.
+ | edges <- unionManyUniqSets
+ ( (map nodeConflicts $ nonDetEltsUFM $ graphMap graph)
+ ++ (map nodeCoalesce $ nonDetEltsUFM $ graphMap graph))
+
+ , nodes <- mkUniqSet $ map nodeId $ nonDetEltsUFM $ graphMap graph
+ , badEdges <- minusUniqSet edges nodes
+ , not $ isEmptyUniqSet badEdges
+ = pprPanic "GHC.Data.Graph.Ops.validateGraph"
+ ( text "Graph has edges that point to non-existent nodes"
+ $$ text " bad edges: " <> pprUFM (getUniqSet badEdges) (vcat . map ppr)
+ $$ doc )
+
+ -- Check that no conflicting nodes have the same color
+ | badNodes <- filter (not . (checkNode graph))
+ $ nonDetEltsUFM $ graphMap graph
+ -- See Note [Unique Determinism and code generation]
+ , not $ null badNodes
+ = pprPanic "GHC.Data.Graph.Ops.validateGraph"
+ ( text "Node has same color as one of it's conflicts"
+ $$ text " bad nodes: " <> hcat (map (ppr . nodeId) badNodes)
+ $$ doc)
+
+ -- If this is supposed to be a colored graph,
+ -- check that all nodes have a color.
+ | isColored
+ , badNodes <- filter (\n -> isNothing $ nodeColor n)
+ $ nonDetEltsUFM $ graphMap graph
+ , not $ null badNodes
+ = pprPanic "GHC.Data.Graph.Ops.validateGraph"
+ ( text "Supposably colored graph has uncolored nodes."
+ $$ text " uncolored nodes: " <> hcat (map (ppr . nodeId) badNodes)
+ $$ doc )
+
+
+ -- graph looks ok
+ | otherwise
+ = graph
+
+
+-- | If this node is colored, check that all the nodes which
+-- conflict with it have different colors.
+checkNode
+ :: (Uniquable k, Eq color)
+ => Graph k cls color
+ -> Node k cls color
+ -> Bool -- ^ True if this node is ok
+
+checkNode graph node
+ | Just color <- nodeColor node
+ , Just neighbors <- sequence $ map (lookupNode graph)
+ $ nonDetEltsUniqSet $ nodeConflicts node
+ -- See Note [Unique Determinism and code generation]
+
+ , neighbourColors <- catMaybes $ map nodeColor neighbors
+ , elem color neighbourColors
+ = False
+
+ | otherwise
+ = True
+
+
+
+-- | Slurp out a map of how many nodes had a certain number of conflict neighbours
+
+slurpNodeConflictCount
+ :: Graph k cls color
+ -> UniqFM (Int, Int) -- ^ (conflict neighbours, num nodes with that many conflicts)
+
+slurpNodeConflictCount graph
+ = addListToUFM_C
+ (\(c1, n1) (_, n2) -> (c1, n1 + n2))
+ emptyUFM
+ $ map (\node
+ -> let count = sizeUniqSet $ nodeConflicts node
+ in (count, (count, 1)))
+ $ nonDetEltsUFM
+ -- See Note [Unique Determinism and code generation]
+ $ graphMap graph
+
+
+-- | Set the color of a certain node
+setColor
+ :: Uniquable k
+ => k -> color
+ -> Graph k cls color -> Graph k cls color
+
+setColor u color
+ = graphMapModify
+ $ adjustUFM_C
+ (\n -> n { nodeColor = Just color })
+ u
+
+
+{-# INLINE adjustWithDefaultUFM #-}
+adjustWithDefaultUFM
+ :: Uniquable k
+ => (a -> a) -> a -> k
+ -> UniqFM a -> UniqFM a
+
+adjustWithDefaultUFM f def k map
+ = addToUFM_C
+ (\old _ -> f old)
+ map
+ k def
+
+-- Argument order different from UniqFM's adjustUFM
+{-# INLINE adjustUFM_C #-}
+adjustUFM_C
+ :: Uniquable k
+ => (a -> a)
+ -> k -> UniqFM a -> UniqFM a
+
+adjustUFM_C f k map
+ = case lookupUFM map k of
+ Nothing -> map
+ Just a -> addToUFM map k (f a)
+