-- | Basic operations on graphs.
--
module GraphOps (
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 GraphBase
import Outputable
import Unique
import UniqSet
import UniqFM
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
= foldUniqSet
(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
= foldUniqSet
(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
$ uniqSetToList (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
$ uniqSetToList (nodeCoalesce node)
-- 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 : []) <- uniqSetToList conflicts
= graphMapModify
$ adjustWithDefaultUFM
id
(newNode u (getClass u))
u
| otherwise
= graphMapModify
$ (\fm -> foldl' (\g u -> addConflictSet1 u getClass conflicts g) fm
$ uniqSetToList conflicts)
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 requried.
-- 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 prefered.
-- The algorithm tries to assign a node it's prefered 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 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)]) -- 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))
$ 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', reverse kkPairsAcc)
pairs -> coalesceGraph' aggressive triv graph' (reverse 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
--
-- 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 "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
:: 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 "GraphOps.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 = foldUniqSet (adjustUFM_C (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)
=> 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
$ eltsUFM $ graphMap graph
-- | 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 $ 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, 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 $ eltsUFM $ graphMap graph)
++ (map nodeCoalesce $ eltsUFM $ graphMap graph))
, nodes <- mkUniqSet $ map nodeId $ eltsUFM $ graphMap graph
, badEdges <- minusUniqSet edges nodes
, not $ isEmptyUniqSet badEdges
= pprPanic "GraphOps.validateGraph"
( text "Graph has edges that point to non-existant nodes"
$$ text " bad edges: " <> vcat (map ppr $ uniqSetToList badEdges)
$$ doc )
-- Check that no conflicting nodes have the same color
| badNodes <- filter (not . (checkNode graph))
$ eltsUFM $ graphMap graph
, not $ null badNodes
= pprPanic "GraphOps.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)
$ eltsUFM $ graphMap graph
, not $ null badNodes
= pprPanic "GraphOps.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)
$ uniqSetToList $ nodeConflicts node
, 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)))
$ eltsUFM
$ 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)