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|
--
-- Copyright (c) 2018 Andreas Klebinger
--
{-# LANGUAGE TypeFamilies, ScopedTypeVariables #-}
{-# LANGUAGE TupleSections #-}
{-# LANGUAGE GeneralizedNewtypeDeriving #-}
{-# LANGUAGE CPP #-}
module CFG
( CFG, CfgEdge(..), EdgeInfo(..), EdgeWeight(..)
, TransitionSource(..)
--Modify the CFG
, addWeightEdge, addEdge, delEdge
, addNodesBetween, shortcutWeightMap
, reverseEdges, filterEdges
, addImmediateSuccessor
, mkWeightInfo, adjustEdgeWeight
--Query the CFG
, infoEdgeList, edgeList
, getSuccessorEdges, getSuccessors
, getSuccEdgesSorted, weightedEdgeList
, getEdgeInfo
, getCfgNodes, hasNode
, loopMembers
--Construction/Misc
, getCfg, getCfgProc, pprEdgeWeights, sanityCheckCfg
--Find backedges and update their weight
, optimizeCFG )
where
#include "HsVersions.h"
import GhcPrelude
import BlockId
import Cmm ( RawCmmDecl, GenCmmDecl( .. ), CmmBlock, succ, g_entry
, CmmGraph )
import CmmNode
import CmmUtils
import CmmSwitch
import Hoopl.Collections
import Hoopl.Label
import Hoopl.Block
import qualified Hoopl.Graph as G
import Util
import Digraph
import Outputable
-- DEBUGGING ONLY
--import Debug
--import OrdList
--import Debug.Trace
import PprCmm ()
import qualified DynFlags as D
import Data.List
-- import qualified Data.IntMap.Strict as M --TODO: LabelMap
type Edge = (BlockId, BlockId)
type Edges = [Edge]
newtype EdgeWeight
= EdgeWeight Int
deriving (Eq,Ord,Enum,Num,Real,Integral)
instance Outputable EdgeWeight where
ppr (EdgeWeight w) = ppr w
type EdgeInfoMap edgeInfo = LabelMap (LabelMap edgeInfo)
-- | A control flow graph where edges have been annotated with a weight.
type CFG = EdgeInfoMap EdgeInfo
data CfgEdge
= CfgEdge
{ edgeFrom :: !BlockId
, edgeTo :: !BlockId
, edgeInfo :: !EdgeInfo
}
-- | Careful! Since we assume there is at most one edge from A to B
-- the Eq instance does not consider weight.
instance Eq CfgEdge where
(==) (CfgEdge from1 to1 _) (CfgEdge from2 to2 _)
= from1 == from2 && to1 == to2
-- | Edges are sorted ascending pointwise by weight, source and destination
instance Ord CfgEdge where
compare (CfgEdge from1 to1 (EdgeInfo {edgeWeight = weight1}))
(CfgEdge from2 to2 (EdgeInfo {edgeWeight = weight2}))
| weight1 < weight2 || weight1 == weight2 && from1 < from2 ||
weight1 == weight2 && from1 == from2 && to1 < to2
= LT
| from1 == from2 && to1 == to2 && weight1 == weight2
= EQ
| otherwise
= GT
instance Outputable CfgEdge where
ppr (CfgEdge from1 to1 edgeInfo)
= parens (ppr from1 <+> text "-(" <> ppr edgeInfo <> text ")->" <+> ppr to1)
-- | Can we trace back a edge to a specific Cmm Node
-- or has it been introduced for codegen. We use this to maintain
-- some information which would otherwise be lost during the
-- Cmm <-> asm transition.
-- See also Note [Inverting Conditional Branches]
data TransitionSource
= CmmSource (CmmNode O C)
| AsmCodeGen
deriving (Eq)
-- | Information about edges
data EdgeInfo
= EdgeInfo
{ transitionSource :: !TransitionSource
, edgeWeight :: !EdgeWeight
} deriving (Eq)
instance Outputable EdgeInfo where
ppr edgeInfo = text "weight:" <+> ppr (edgeWeight edgeInfo)
-- Allow specialization
{-# INLINEABLE mkWeightInfo #-}
-- | Convenience function, generate edge info based
-- on weight not originating from cmm.
mkWeightInfo :: Integral n => n -> EdgeInfo
mkWeightInfo = EdgeInfo AsmCodeGen . fromIntegral
-- | Adjust the weight between the blocks using the given function.
-- If there is no such edge returns the original map.
adjustEdgeWeight :: CFG -> (EdgeWeight -> EdgeWeight)
-> BlockId -> BlockId -> CFG
adjustEdgeWeight cfg f from to
| Just info <- getEdgeInfo from to cfg
, weight <- edgeWeight info
= addEdge from to (info { edgeWeight = f weight}) cfg
| otherwise = cfg
getCfgNodes :: CFG -> LabelSet
getCfgNodes m = mapFoldMapWithKey (\k v -> setFromList (k:mapKeys v)) m
hasNode :: CFG -> BlockId -> Bool
hasNode m node = mapMember node m || any (mapMember node) m
-- | Check if the nodes in the cfg and the set of blocks are the same.
-- In a case of a missmatch we panic and show the difference.
sanityCheckCfg :: CFG -> LabelSet -> SDoc -> Bool
sanityCheckCfg m blockSet msg
| blockSet == cfgNodes
= True
| otherwise =
pprPanic "Block list and cfg nodes don't match" (
text "difference:" <+> ppr diff $$
text "blocks:" <+> ppr blockSet $$
text "cfg:" <+> ppr m $$
msg )
False
where
cfgNodes = getCfgNodes m :: LabelSet
diff = (setUnion cfgNodes blockSet) `setDifference` (setIntersection cfgNodes blockSet) :: LabelSet
-- | Filter the CFG with a custom function f.
-- Paramaeters are `f from to edgeInfo`
filterEdges :: (BlockId -> BlockId -> EdgeInfo -> Bool) -> CFG -> CFG
filterEdges f cfg =
mapMapWithKey filterSources cfg
where
filterSources from m =
mapFilterWithKey (\to w -> f from to w) m
{- Note [Updating the CFG during shortcutting]
See Note [What is shortcutting] in the control flow optimization
code (CmmContFlowOpt.hs) for a slightly more in depth explanation on shortcutting.
In the native backend we shortcut jumps at the assembly level. (AsmCodeGen.hs)
This means we remove blocks containing only one jump from the code
and instead redirecting all jumps targeting this block to the deleted
blocks jump target.
However we want to have an accurate representation of control
flow in the CFG. So we add/remove edges accordingly to account
for the eliminated blocks and new edges.
If we shortcut A -> B -> C to A -> C:
* We delete edges A -> B and B -> C
* Replacing them with the edge A -> C
We also try to preserve jump weights while doing so.
Note that:
* The edge B -> C can't have interesting weights since
the block B consists of a single unconditional jump without branching.
* We delete the edge A -> B and add the edge A -> C.
* The edge A -> B can be one of many edges originating from A so likely
has edge weights we want to preserve.
For this reason we simply store the edge info from the original A -> B
edge and apply this information to the new edge A -> C.
Sometimes we have a scenario where jump target C is not represented by an
BlockId but an immediate value. I'm only aware of this happening without
tables next to code currently.
Then we go from A ---> B - -> IMM to A - -> IMM where the dashed arrows
are not stored in the CFG.
In that case we simply delete the edge A -> B.
In terms of implementation the native backend first builds a mapping
from blocks suitable for shortcutting to their jump targets.
Then it redirects all jump instructions to these blocks using the
built up mapping.
This function (shortcutWeightMap) takes the same mapping and
applies the mapping to the CFG in the way layed out above.
-}
shortcutWeightMap :: CFG -> LabelMap (Maybe BlockId) -> CFG
shortcutWeightMap cfg cuts =
foldl' applyMapping cfg $ mapToList cuts
where
-- takes the tuple (B,C) from the notation in [Updating the CFG during shortcutting]
applyMapping :: CFG -> (BlockId,Maybe BlockId) -> CFG
--Shortcut immediate
applyMapping m (from, Nothing) =
mapDelete from .
fmap (mapDelete from) $ m
--Regular shortcut
applyMapping m (from, Just to) =
let updatedMap :: CFG
updatedMap
= fmap (shortcutEdge (from,to)) $
(mapDelete from m :: CFG )
--Sometimes we can shortcut multiple blocks like so:
-- A -> B -> C -> D -> E => A -> E
-- so we check for such chains.
in case mapLookup to cuts of
Nothing -> updatedMap
Just dest -> applyMapping updatedMap (to, dest)
--Redirect edge from B to C
shortcutEdge :: (BlockId, BlockId) -> LabelMap EdgeInfo -> LabelMap EdgeInfo
shortcutEdge (from, to) m =
case mapLookup from m of
Just info -> mapInsert to info $ mapDelete from m
Nothing -> m
-- | Sometimes we insert a block which should unconditionally be executed
-- after a given block. This function updates the CFG for these cases.
-- So we get A -> B => A -> A' -> B
-- \ \
-- -> C => -> C
--
addImmediateSuccessor :: BlockId -> BlockId -> CFG -> CFG
addImmediateSuccessor node follower cfg
= updateEdges . addWeightEdge node follower uncondWeight $ cfg
where
uncondWeight = fromIntegral . D.uncondWeight .
D.cfgWeightInfo $ D.unsafeGlobalDynFlags
targets = getSuccessorEdges cfg node
successors = map fst targets :: [BlockId]
updateEdges = addNewSuccs . remOldSuccs
remOldSuccs m = foldl' (flip (delEdge node)) m successors
addNewSuccs m =
foldl' (\m' (t,info) -> addEdge follower t info m') m targets
-- | Adds a new edge, overwrites existing edges if present
addEdge :: BlockId -> BlockId -> EdgeInfo -> CFG -> CFG
addEdge from to info cfg =
mapAlter addDest from cfg
where
addDest Nothing = Just $ mapSingleton to info
addDest (Just wm) = Just $ mapInsert to info wm
-- | Adds a edge with the given weight to the cfg
-- If there already existed an edge it is overwritten.
-- `addWeightEdge from to weight cfg`
addWeightEdge :: BlockId -> BlockId -> EdgeWeight -> CFG -> CFG
addWeightEdge from to weight cfg =
addEdge from to (mkWeightInfo weight) cfg
delEdge :: BlockId -> BlockId -> CFG -> CFG
delEdge from to m =
mapAlter remDest from m
where
remDest Nothing = Nothing
remDest (Just wm) = Just $ mapDelete to wm
-- | Destinations from bid ordered by weight (descending)
getSuccEdgesSorted :: CFG -> BlockId -> [(BlockId,EdgeInfo)]
getSuccEdgesSorted m bid =
let destMap = mapFindWithDefault mapEmpty bid m
cfgEdges = mapToList destMap
sortedEdges = sortWith (negate . edgeWeight . snd) cfgEdges
in --pprTrace "getSuccEdgesSorted" (ppr bid <+> text "map:" <+> ppr m)
sortedEdges
-- | Get successors of a given node with edge weights.
getSuccessorEdges :: CFG -> BlockId -> [(BlockId,EdgeInfo)]
getSuccessorEdges m bid = maybe [] mapToList $ mapLookup bid m
getEdgeInfo :: BlockId -> BlockId -> CFG -> Maybe EdgeInfo
getEdgeInfo from to m
| Just wm <- mapLookup from m
, Just info <- mapLookup to wm
= Just $! info
| otherwise
= Nothing
reverseEdges :: CFG -> CFG
reverseEdges cfg = foldr add mapEmpty flatElems
where
elems = mapToList $ fmap mapToList cfg :: [(BlockId,[(BlockId,EdgeInfo)])]
flatElems =
concatMap (\(from,ws) -> map (\(to,info) -> (to,from,info)) ws ) elems
add (to,from,info) m = addEdge to from info m
-- | Returns a unordered list of all edges with info
infoEdgeList :: CFG -> [CfgEdge]
infoEdgeList m =
mapFoldMapWithKey
(\from toMap ->
map (\(to,info) -> CfgEdge from to info) (mapToList toMap))
m
-- | Unordered list of edges with weight as Tuple (from,to,weight)
weightedEdgeList :: CFG -> [(BlockId,BlockId,EdgeWeight)]
weightedEdgeList m =
mapFoldMapWithKey
(\from toMap ->
map (\(to,info) ->
(from,to, edgeWeight info)) (mapToList toMap))
m
-- (\(from, tos) -> map (\(to,info) -> (from,to, edgeWeight info)) tos )
-- | Returns a unordered list of all edges without weights
edgeList :: CFG -> [Edge]
edgeList m =
mapFoldMapWithKey (\from toMap -> fmap (from,) (mapKeys toMap)) m
-- | Get successors of a given node without edge weights.
getSuccessors :: CFG -> BlockId -> [BlockId]
getSuccessors m bid
| Just wm <- mapLookup bid m
= mapKeys wm
| otherwise = []
pprEdgeWeights :: CFG -> SDoc
pprEdgeWeights m =
let edges = sort $ weightedEdgeList m
printEdge (from, to, weight)
= text "\t" <> ppr from <+> text "->" <+> ppr to <>
text "[label=\"" <> ppr weight <> text "\",weight=\"" <>
ppr weight <> text "\"];\n"
--for the case that there are no edges from/to this node.
--This should rarely happen but it can save a lot of time
--to immediately see it when it does.
printNode node
= text "\t" <> ppr node <> text ";\n"
getEdgeNodes (from, to, _weight) = [from,to]
edgeNodes = setFromList $ concatMap getEdgeNodes edges :: LabelSet
nodes = filter (\n -> (not . setMember n) edgeNodes) . mapKeys $ mapFilter null m
in
text "digraph {\n" <>
(foldl' (<>) empty (map printEdge edges)) <>
(foldl' (<>) empty (map printNode nodes)) <>
text "}\n"
{-# INLINE updateEdgeWeight #-} --Allows eliminating the tuple when possible
updateEdgeWeight :: (EdgeWeight -> EdgeWeight) -> Edge -> CFG -> CFG
updateEdgeWeight f (from, to) cfg
| Just oldInfo <- getEdgeInfo from to cfg
= let oldWeight = edgeWeight oldInfo
newWeight = f oldWeight
in addEdge from to (oldInfo {edgeWeight = newWeight}) cfg
| otherwise
= panic "Trying to update invalid edge"
-- from to oldWeight => newWeight
mapWeights :: (BlockId -> BlockId -> EdgeWeight -> EdgeWeight) -> CFG -> CFG
mapWeights f cfg =
foldl' (\cfg (CfgEdge from to info) ->
let oldWeight = edgeWeight info
newWeight = f from to oldWeight
in addEdge from to (info {edgeWeight = newWeight}) cfg)
cfg (infoEdgeList cfg)
-- | Insert a block in the control flow between two other blocks.
-- We pass a list of tuples (A,B,C) where
-- * A -> C: Old edge
-- * A -> B -> C : New Arc, where B is the new block.
-- It's possible that a block has two jumps to the same block
-- in the assembly code. However we still only store a single edge for
-- these cases.
-- We assign the old edge info to the edge A -> B and assign B -> C the
-- weight of an unconditional jump.
addNodesBetween :: CFG -> [(BlockId,BlockId,BlockId)] -> CFG
addNodesBetween m updates =
foldl' updateWeight m .
weightUpdates $ updates
where
weight = fromIntegral . D.uncondWeight .
D.cfgWeightInfo $ D.unsafeGlobalDynFlags
-- We might add two blocks for different jumps along a single
-- edge. So we end up with edges: A -> B -> C , A -> D -> C
-- in this case after applying the first update the weight for A -> C
-- is no longer available. So we calculate future weights before updates.
weightUpdates = map getWeight
getWeight :: (BlockId,BlockId,BlockId) -> (BlockId,BlockId,BlockId,EdgeInfo)
getWeight (from,between,old)
| Just edgeInfo <- getEdgeInfo from old m
= (from,between,old,edgeInfo)
| otherwise
= pprPanic "Can't find weight for edge that should have one" (
text "triple" <+> ppr (from,between,old) $$
text "updates" <+> ppr updates )
updateWeight :: CFG -> (BlockId,BlockId,BlockId,EdgeInfo) -> CFG
updateWeight m (from,between,old,edgeInfo)
= addEdge from between edgeInfo .
addWeightEdge between old weight .
delEdge from old $ m
{-
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~ Note [CFG Edge Weights] ~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Edge weights assigned do not currently represent a specific
cost model and rather just a ranking of which blocks should
be placed next to each other given their connection type in
the CFG.
This is especially relevant if we whenever two blocks will
jump to the same target.
A B
\ /
C
Should A or B be placed in front of C? The block layout algorithm
decides this based on which edge (A,C)/(B,C) is heavier. So we
make a educated guess how often execution will transer control
along each edge as well as how much we gain by placing eg A before
C.
We rank edges in this order:
* Unconditional Control Transfer - They will always
transfer control to their target. Unless there is a info table
we can turn the jump into a fallthrough as well.
We use 20k as default, so it's easy to spot if values have been
modified but unlikely that we run into issues with overflow.
* If branches (likely) - We assume branches marked as likely
are taken more than 80% of the time.
By ranking them below unconditional jumps we make sure we
prefer the unconditional if there is a conditional and
unconditional edge towards a block.
* If branches (regular) - The false branch can potentially be turned
into a fallthrough so we prefer it slightly over the true branch.
* Unlikely branches - These can be assumed to be taken less than 20%
of the time. So we given them one of the lowest priorities.
* Switches - Switches at this level are implemented as jump tables
so have a larger number of successors. So without more information
we can only say that each individual successor is unlikely to be
jumped to and we rank them accordingly.
* Calls - We currently ignore calls completly:
* By the time we return from a call there is a good chance
that the address we return to has already been evicted from
cache eliminating a main advantage sequential placement brings.
* Calls always require a info table in front of their return
address. This reduces the chance that we return to the same
cache line further.
-}
-- | Generate weights for a Cmm proc based on some simple heuristics.
getCfgProc :: D.CfgWeights -> RawCmmDecl -> CFG
getCfgProc _ (CmmData {}) = mapEmpty
getCfgProc weights (CmmProc _info _lab _live graph) = getCfg weights graph
getCfg :: D.CfgWeights -> CmmGraph -> CFG
getCfg weights graph =
foldl' insertEdge edgelessCfg $ concatMap getBlockEdges blocks
where
D.CFGWeights
{ D.uncondWeight = uncondWeight
, D.condBranchWeight = condBranchWeight
, D.switchWeight = switchWeight
, D.callWeight = callWeight
, D.likelyCondWeight = likelyCondWeight
, D.unlikelyCondWeight = unlikelyCondWeight
-- Last two are used in other places
--, D.infoTablePenalty = infoTablePenalty
--, D.backEdgeBonus = backEdgeBonus
} = weights
-- Explicitly add all nodes to the cfg to ensure they are part of the
-- CFG.
edgelessCfg = mapFromList $ zip (map G.entryLabel blocks) (repeat mapEmpty)
insertEdge :: CFG -> ((BlockId,BlockId),EdgeInfo) -> CFG
insertEdge m ((from,to),weight) =
mapAlter f from m
where
f :: Maybe (LabelMap EdgeInfo) -> Maybe (LabelMap EdgeInfo)
f Nothing = Just $ mapSingleton to weight
f (Just destMap) = Just $ mapInsert to weight destMap
getBlockEdges :: CmmBlock -> [((BlockId,BlockId),EdgeInfo)]
getBlockEdges block =
case branch of
CmmBranch dest -> [mkEdge dest uncondWeight]
CmmCondBranch _c t f l
| l == Nothing ->
[mkEdge f condBranchWeight, mkEdge t condBranchWeight]
| l == Just True ->
[mkEdge f unlikelyCondWeight, mkEdge t likelyCondWeight]
| l == Just False ->
[mkEdge f likelyCondWeight, mkEdge t unlikelyCondWeight]
(CmmSwitch _e ids) ->
let switchTargets = switchTargetsToList ids
--Compiler performance hack - for very wide switches don't
--consider targets for layout.
adjustedWeight =
if (length switchTargets > 10) then -1 else switchWeight
in map (\x -> mkEdge x adjustedWeight) switchTargets
(CmmCall { cml_cont = Just cont}) -> [mkEdge cont callWeight]
(CmmForeignCall {Cmm.succ = cont}) -> [mkEdge cont callWeight]
(CmmCall { cml_cont = Nothing }) -> []
other ->
panic "Foo" $
ASSERT2(False, ppr "Unkown successor cause:" <>
(ppr branch <+> text "=>" <> ppr (G.successors other)))
map (\x -> ((bid,x),mkEdgeInfo 0)) $ G.successors other
where
bid = G.entryLabel block
mkEdgeInfo = EdgeInfo (CmmSource branch) . fromIntegral
mkEdge target weight = ((bid,target), mkEdgeInfo weight)
branch = lastNode block :: CmmNode O C
blocks = revPostorder graph :: [CmmBlock]
--Find back edges by BFS
findBackEdges :: BlockId -> CFG -> Edges
findBackEdges root cfg =
--pprTraceIt "Backedges:" $
map fst .
filter (\x -> snd x == Backward) $ typedEdges
where
edges = edgeList cfg :: [(BlockId,BlockId)]
getSuccs = getSuccessors cfg :: BlockId -> [BlockId]
typedEdges =
classifyEdges root getSuccs edges :: [((BlockId,BlockId),EdgeType)]
optimizeCFG :: D.CfgWeights -> RawCmmDecl -> CFG -> CFG
optimizeCFG _ (CmmData {}) cfg = cfg
optimizeCFG weights (CmmProc info _lab _live graph) cfg =
favourFewerPreds .
penalizeInfoTables info .
increaseBackEdgeWeight (g_entry graph) $ cfg
where
-- | Increase the weight of all backedges in the CFG
-- this helps to make loop jumpbacks the heaviest edges
increaseBackEdgeWeight :: BlockId -> CFG -> CFG
increaseBackEdgeWeight root cfg =
let backedges = findBackEdges root cfg
update weight
--Keep irrelevant edges irrelevant
| weight <= 0 = 0
| otherwise
= weight + fromIntegral (D.backEdgeBonus weights)
in foldl' (\cfg edge -> updateEdgeWeight update edge cfg)
cfg backedges
-- | Since we cant fall through info tables we penalize these.
penalizeInfoTables :: LabelMap a -> CFG -> CFG
penalizeInfoTables info cfg =
mapWeights fupdate cfg
where
fupdate :: BlockId -> BlockId -> EdgeWeight -> EdgeWeight
fupdate _ to weight
| mapMember to info
= weight - (fromIntegral $ D.infoTablePenalty weights)
| otherwise = weight
{- Note [Optimize for Fallthrough]
-}
-- | If a block has two successors, favour the one with fewer
-- predecessors. (As that one is more likely to become a fallthrough)
favourFewerPreds :: CFG -> CFG
favourFewerPreds cfg =
let
revCfg =
reverseEdges $ filterEdges
(\_from -> fallthroughTarget) cfg
predCount n = length $ getSuccessorEdges revCfg n
nodes = getCfgNodes cfg
modifiers :: Int -> Int -> (EdgeWeight, EdgeWeight)
modifiers preds1 preds2
| preds1 < preds2 = ( 1,-1)
| preds1 == preds2 = ( 0, 0)
| otherwise = (-1, 1)
update cfg node
| [(s1,e1),(s2,e2)] <- getSuccessorEdges cfg node
, w1 <- edgeWeight e1
, w2 <- edgeWeight e2
--Only change the weights if there isn't already a ordering.
, w1 == w2
, (mod1,mod2) <- modifiers (predCount s1) (predCount s2)
= (\cfg' ->
(adjustEdgeWeight cfg' (+mod2) node s2))
(adjustEdgeWeight cfg (+mod1) node s1)
| otherwise
= cfg
in setFoldl update cfg nodes
where
fallthroughTarget :: BlockId -> EdgeInfo -> Bool
fallthroughTarget to (EdgeInfo source _weight)
| mapMember to info = False
| AsmCodeGen <- source = True
| CmmSource (CmmBranch {}) <- source = True
| CmmSource (CmmCondBranch {}) <- source = True
| otherwise = False
-- | Determine loop membership of blocks based on SCC analysis
-- Ideally we would replace this with a variant giving us loop
-- levels instead but the SCC code will do for now.
loopMembers :: CFG -> LabelMap Bool
loopMembers cfg =
foldl' (flip setLevel) mapEmpty sccs
where
mkNode :: BlockId -> Node BlockId BlockId
mkNode bid = DigraphNode bid bid (getSuccessors cfg bid)
nodes = map mkNode (setElems $ getCfgNodes cfg)
sccs = stronglyConnCompFromEdgedVerticesOrd nodes
setLevel :: SCC BlockId -> LabelMap Bool -> LabelMap Bool
setLevel (AcyclicSCC bid) m = mapInsert bid False m
setLevel (CyclicSCC bids) m = foldl' (\m k -> mapInsert k True m) m bids
|