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Solve.chs
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Solve.chs
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% CHR solver
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Derived from work by Gerrit vd Geest, but greatly adapted to use more efficient searching.
Assumptions (to be documented further)
- The key [Trie.TrieKey Key] used to lookup a constraint in a CHR should be distinguishing enough to be used for the prevention
of the application of a propagation rule for a 2nd time.
%%[9 module {%{EH}CHR.Solve} import({%{EH}CHR},{%{EH}CHR.Constraint},{%{EH}CHR.Key})
%%]
%%[9 import({%{EH}Base.Trie} as Trie)
%%]
%%[9 import(qualified Data.Set as Set,qualified Data.Map as Map,Data.List as List,Data.Maybe)
%%]
%%[9 import(EH.Util.Pretty as Pretty)
%%]
%%[99 import({%{EH}Base.ForceEval})
%%]
-- For debug
%%[9 import(EH.Util.Utils)
%%]
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% CHR store, with fast search
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%[9 export(CHRStore,emptyCHRStore)
type CHRKey = [Trie.TrieKey Key]
type UsedByKey = (CHRKey,Int)
data StoredCHR p i g s
= StoredCHR
{ storedChr :: !(CHR (Constraint p i) g s) -- the CHR
, storedKeyedInx :: !Int -- index of constraint for which is keyed into store
, storedKeys :: ![Maybe CHRKey] -- keys of all constraints; at storedKeyedInx: Nothing
, storedIdent :: !UsedByKey -- the identification of a CHR, used for propagation rules (see remark at begin)
}
storedSimpSz :: StoredCHR p i g s -> Int
storedSimpSz = chrSimpSz . storedChr
data CHRStore pred info guard subst
= CHRStore
{ chrstoreTrie :: Trie.Trie Key [StoredCHR pred info guard subst]
}
mkCHRStore trie = CHRStore trie
emptyCHRStore :: CHRStore pred info guard subst
emptyCHRStore = mkCHRStore Trie.empty
%%]
%%[9
cmbStoredCHRs :: [StoredCHR p i g s] -> [StoredCHR p i g s] -> [StoredCHR p i g s]
cmbStoredCHRs s1 s2
= map (\s@(StoredCHR {storedIdent=(k,nr)}) -> s {storedIdent = (k,nr+l)}) s1 ++ s2
where l = length s2
%%]
%%[9
instance Show (StoredCHR p i g s) where
show _ = "StoredCHR"
ppStoredCHR :: (PP p, PP i, PP g) => StoredCHR p i g s -> PP_Doc
ppStoredCHR c@(StoredCHR {storedIdent=(idKey,idSeqNr)})
= storedChr c
>-< indent 2
(ppParensCommas
[ pp $ storedKeyedInx c
, pp $ storedSimpSz c
, "keys" >#< (ppBracketsCommas $ map (maybe (pp "?") ppTrieKey) $ storedKeys c)
, "ident" >#< ppParensCommas [ppTrieKey idKey,pp idSeqNr]
])
instance (PP p, PP i, PP g) => PP (StoredCHR p i g s) where
pp = ppStoredCHR
%%]
%%[9 export(chrStoreFromElems,chrStoreUnion,chrStoreUnions,chrStoreSingletonElem)
chrStoreFromElems :: Keyable p => [CHR (Constraint p i) g s] -> CHRStore p i g s
chrStoreFromElems chrs
= mkCHRStore
$ Trie.fromListByKeyWith cmbStoredCHRs
[ (k,[StoredCHR chr i ks' (concat ks,0)])
| chr <- chrs
, let cs = chrHead chr
simpSz = chrSimpSz chr
ks = map toKey cs
, (c,k,i) <- zip3 cs ks [0..]
, let (ks1,(_:ks2)) = splitAt i ks
ks' = map Just ks1 ++ [Nothing] ++ map Just ks2
]
chrStoreSingletonElem :: Keyable p => CHR (Constraint p i) g s -> CHRStore p i g s
chrStoreSingletonElem x = chrStoreFromElems [x]
chrStoreUnion :: CHRStore p i g s -> CHRStore p i g s -> CHRStore p i g s
chrStoreUnion cs1 cs2 = mkCHRStore $ Trie.unionWith cmbStoredCHRs (chrstoreTrie cs1) (chrstoreTrie cs2)
chrStoreUnions :: [CHRStore p i g s] -> CHRStore p i g s
chrStoreUnions [] = emptyCHRStore
chrStoreUnions [s] = s
chrStoreUnions ss = foldr1 chrStoreUnion ss
%%]
%%[9 export(chrStoreToList,chrStoreElems)
chrStoreToList :: CHRStore p i g s -> [(CHRKey,[CHR (Constraint p i) g s])]
chrStoreToList cs
= [ (k,chrs)
| (k,e) <- Trie.toListByKey $ chrstoreTrie cs
, let chrs = [chr | (StoredCHR {storedChr = chr, storedKeyedInx = 0}) <- e]
, not $ Prelude.null chrs
]
chrStoreElems :: CHRStore p i g s -> [CHR (Constraint p i) g s]
chrStoreElems = concatMap snd . chrStoreToList
%%]
%%[9 export(ppCHRStore,ppCHRStore')
ppCHRStore :: (PP p,PP g,PP i) => CHRStore p i g s -> PP_Doc
ppCHRStore = ppCurlysCommasBlock . map (\(k,v) -> ppTrieKey k >-< indent 2 (":" >#< ppBracketsCommasV v)) . chrStoreToList
ppCHRStore' :: (PP p,PP g,PP i) => CHRStore p i g s -> PP_Doc
ppCHRStore' = ppCurlysCommasBlock . map (\(k,v) -> ppTrieKey k >-< indent 2 (":" >#< ppBracketsCommasV v)) . Trie.toListByKey . chrstoreTrie
%%]
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Solver worklist
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%[9
type WorkKey = CHRKey
-- type WorkUsedInMap = Map.Map CHRKey (Set.Set UsedByKey)
type WorkUsedInMap = Map.Map (Set.Set CHRKey) (Set.Set UsedByKey)
data Work p i
= Work
{ workCnstr :: !(Constraint p i) -- the constraint to be reduced
-- , workUsedIn :: Set.Set WorkKey -- marked with the propagation rules already applied to it
}
data WorkList p i
= WorkList
{ wlTrie :: !(Trie.Trie Key (Work p i))
, wlDoneSet :: !(Set.Set WorkKey) -- accumulative store of all keys added, set semantics, thereby avoiding double entry
, wlQueue :: ![CHRKey]
-- , wlQueueSet :: Set.Set CHRKey -- for fast membership test
, wlScanned :: ![CHRKey] -- tried but could not solve, so retry when other succeeds
, wlUsedIn :: !WorkUsedInMap -- which work items are used in which propagation constraints
}
emptyWorkList = WorkList Trie.empty Set.empty [] {- Set.empty -} [] Map.empty
%%]
%%[9
wlUsedInUnion :: WorkUsedInMap -> WorkUsedInMap -> WorkUsedInMap
wlUsedInUnion = Map.unionWith Set.union
%%]
%%[9
instance Show (Work p i) where
show _ = "SolveWork"
instance (PP p,PP i) => PP (Work p i) where
pp w = pp $ workCnstr w
ppUsedByKey :: UsedByKey -> PP_Doc
ppUsedByKey (k,i) = ppTrieKey k >|< "/" >|< i
%%]
%%[9
mkWorkList :: Keyable p => [Constraint p i] -> WorkList p i
mkWorkList = flip wlInsert emptyWorkList
wlToList :: {- (PP p, PP i) => -} WorkList p i -> [Constraint p i]
wlToList wl@(WorkList {wlQueue = q, wlScanned = s, wlTrie = t})
= map workCnstr $ Trie.elems t
-- = mapMaybe (\k -> fmap workCnstr $ lookupByKey k $ t) $ q ++ s
wlInsert :: Keyable p => [Constraint p i] -> WorkList p i -> WorkList p i
wlInsert cs wl@(WorkList {wlQueue = q, wlTrie = t, wlDoneSet = ds})
= wl {wlDoneSet = Map.keysSet work `Set.union` ds, wlTrie = trie `Trie.union` t, wlQueue = Map.keys work ++ q }
where work = Map.fromList [ (k,Work c) | c <- cs, let k = toKey c, not (k `Set.member` ds) ]
trie = Trie.fromListPartialByKeyWith TrieLookup_Normal const $ Map.toList work
wlDeleteByKey :: [[Trie.TrieKey Key]] -> WorkList p i -> WorkList p i
wlDeleteByKey keys wl@(WorkList {wlQueue = wlq, wlTrie = wlt})
= wl { wlQueue = wlq \\ keys
, wlTrie = Trie.deleteListByKey keys wlt
}
%%]
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Solver trace
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%[9 export(SolveStep(..),SolveTrace)
data SolveStep p i g s
= SolveStep
{ stepChr :: CHR (Constraint p i) g s
, stepSubst :: s
, stepNewTodo :: [Constraint p i]
, stepNewDone :: [Constraint p i]
}
| SolveDbg
{ stepPP :: PP_Doc
}
type SolveTrace p i g s = [SolveStep p i g s]
%%]
%%[9 export(SolveState,emptySolveState)
data SolveState p i g s
= SolveState
{ stWorkList :: !(WorkList p i)
, stDoneCnstrSet :: !(Set.Set (Constraint p i))
, stTrace :: SolveTrace p i g s
}
stDoneCnstrs :: SolveState p i g s -> [Constraint p i]
stDoneCnstrs = Set.toList . stDoneCnstrSet
emptySolveState :: SolveState p i g s
emptySolveState = SolveState emptyWorkList Set.empty []
%%]
%%[9 export(solveStateResetDone)
solveStateResetDone :: SolveState p i g s -> SolveState p i g s
solveStateResetDone s = s {stDoneCnstrSet = Set.empty}
%%]
%%[9
instance Show (SolveStep p i g s) where
show _ = "SolveStep"
instance (PP p, PP i, PP g) => PP (SolveStep p i g s) where
pp (SolveStep step _ todo done) = "STEP" >#< (step >-< "new todo:" >#< ppBracketsCommas todo >-< "new done:" >#< ppBracketsCommas done)
pp (SolveDbg p ) = "DBG" >#< p
%%]
%%[9 export(chrSolveStateDoneConstraints,chrSolveStateTrace)
chrSolveStateDoneConstraints :: SolveState p i g s -> [Constraint p i]
chrSolveStateDoneConstraints = stDoneCnstrs
chrSolveStateTrace :: SolveState p i g s -> SolveTrace p i g s
chrSolveStateTrace = stTrace
%%]
%%[9 export(ppSolveTrace)
ppSolveTrace :: (PP s, PP p, PP i, PP g) => SolveTrace p i g s -> PP_Doc
ppSolveTrace tr = ppBracketsCommasV [ pp st | st <- tr ]
%%]
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Solver
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%[9 export(chrSolve,chrSolve',chrSolve'')
chrSolve
:: ( CHRMatchable env p s, CHRCheckable env g s
, CHRSubstitutable s tvar s, CHRSubstitutable g tvar s, CHRSubstitutable i tvar s, CHRSubstitutable p tvar s
, CHREmptySubstitution s
, Ord (Constraint p i)
, PP g, PP i, PP p -- for debugging
) => env -> CHRStore p i g s -> [Constraint p i] -> [Constraint p i]
chrSolve env chrStore cnstrs
= work ++ done
where (work,done,_) = chrSolve' env chrStore cnstrs
chrSolve'
:: ( CHRMatchable env p s, CHRCheckable env g s
, CHRSubstitutable s tvar s, CHRSubstitutable g tvar s, CHRSubstitutable i tvar s, CHRSubstitutable p tvar s
, CHREmptySubstitution s
, Ord (Constraint p i)
, PP g, PP i, PP p -- for debugging
) => env -> CHRStore p i g s -> [Constraint p i] -> ([Constraint p i],[Constraint p i],SolveTrace p i g s)
chrSolve' env chrStore cnstrs
= (wlToList (stWorkList finalState), stDoneCnstrs finalState, stTrace finalState)
where finalState = chrSolve'' env chrStore cnstrs emptySolveState
chrSolve''
:: ( CHRMatchable env p s, CHRCheckable env g s
, CHRSubstitutable s tvar s, CHRSubstitutable g tvar s, CHRSubstitutable i tvar s, CHRSubstitutable p tvar s
, CHREmptySubstitution s
, Ord (Constraint p i)
, PP g, PP i, PP p -- for debugging
) => env -> CHRStore p i g s -> [Constraint p i] -> SolveState p i g s -> SolveState p i g s
chrSolve'' env chrStore cnstrs prevState
= iter $ initState prevState
where iter st@(SolveState {stWorkList = wl@(WorkList {wlQueue = (workHd:workTl)})})
= case matches of
(_:_)
-> expandMatch st matches
where expandMatch st@(SolveState {stWorkList = wl})
( ( ( schr@(StoredCHR {storedIdent = chrId, storedChr = chr@(CHR {chrBody = b, chrSimpSz = simpSz})})
, (keys,works)
)
, subst
) : tlMatch
)
= expandMatch (st')
$ filter (\(r@(_,(ks,_)),_) -> not (any (`elem` keysSimp) ks || isUsedByPropPart (wlUsedIn wl') r))
$ tlMatch
where (keysSimp,keysProp) = splitAt simpSz keys
usedIn = Map.singleton (Set.fromList keysProp) (Set.singleton chrId)
-- usedIn = Map.fromListWith Set.union $ zip keysProp (repeat $ Set.singleton chrId)
(bTodo,bDone) = splitDone $ map (chrAppSubst subst) b
wl' = wlInsert bTodo
$ wlDeleteByKey keysSimp
$ wl { wlUsedIn = usedIn `wlUsedInUnion` wlUsedIn wl
, wlScanned = [], wlQueue = wlQueue wl ++ wlScanned wl
}
st' = st { stWorkList = wl'
%%[[9
, stTrace = SolveStep (subst `chrAppSubst` chr) subst bTodo bDone : {- SolveDbg (ppwork >-< ppdbg) : -} stTrace st
%%][100
%%]]
, stDoneCnstrSet = Set.unions [Set.fromList bDone, Set.fromList $ map workCnstr $ take simpSz works, stDoneCnstrSet st]
}
%%[[9
ppwork = "workkey" >#< ppTrieKey workHd >#< ":" >#< (ppBracketsCommas (map ppTrieKey workTl) >-< ppBracketsCommas (map ppTrieKey $ wlScanned wl))
>-< "workkeys" >#< ppBracketsCommas (map ppTrieKey keys)
>-< "worktrie" >#< wlTrie wl
>-< "schr" >#< schr
>-< "usedin" -- >#< (ppBracketsCommasV $ map (\(k,s) -> ppTrieKey k >#< ppBracketsCommas (map ppUsedByKey $ Set.toList s)) $ Map.toList $ wlUsedIn wl)
>-< "usedin'" -- >#< (ppBracketsCommasV $ map (\(k,s) -> ppTrieKey k >#< ppBracketsCommas (map ppUsedByKey $ Set.toList s)) $ Map.toList $ wlUsedIn wl')
%%][100
%%]]
expandMatch st _
= iter st
_ -> iter {- $ trp "XX" ppwork $ -} st'
where wl' = wl { wlScanned = workHd : wlScanned wl, wlQueue = workTl }
st' = st { stWorkList = wl', stTrace = {- SolveDbg (ppdbg) : -} stTrace st }
where (matches,ppdbg) = workMatches st
iter st
= st
workMatches st@(SolveState {stWorkList = WorkList {wlQueue = (workHd:_), wlTrie = wlTrie, wlUsedIn = wlUsedIn}})
= ( r5
%%[[9
, pp2 >-< pp2b >-< pp2c >-< pp3
%%][100
, Pretty.empty
%%]]
)
where -- results
r2 = concat $ lookupResultToList $ lookupPartialByKey TrieLookup_Partial workHd $ chrstoreTrie chrStore
r3 = concatMap (\c -> zip (repeat c) (map unzip $ combine' $ candidate c)) $ r2
r4 = filter (not . isUsedByPropPart wlUsedIn) r3
r5 = mapMaybe (\r@(chr,kw@(_,works)) -> fmap (\s -> (r,s)) $ match chr (map workCnstr works)) r4
%%[[9
pp2 = "lookups" >#< ("for" >#< ppTrieKey workHd >-< ppBracketsCommasV r2)
pp2b = "cand1" >#< (ppBracketsCommasV $ map (ppBracketsCommasV . map (ppBracketsCommasV . map (\(k,w) -> ppTrieKey k >#< w)) . candidate) r2)
pp2c = "cand2" >#< (ppBracketsCommasV $ map (ppBracketsCommasV . map (ppBracketsCommasV) . combine' . candidate) r2)
pp3 = "candidates" >#< (ppBracketsCommasV $ map (\(chr,(ks,ws)) -> "chr" >#< chr >-< "keys" >#< ppBracketsCommas (map ppTrieKey ks) >-< "works" >#< ppBracketsCommasV ws) $ r3)
%%][100
%%]]
-- util functions
candidate (StoredCHR {storedIdent = chrId, storedKeys = ks, storedChr = chr@(CHR {chrSimpSz = simpSz})})
= cand lkup sks ++ cand (\h k -> lkup h k) pks
where (sks,pks) = splitAt simpSz ks
lkup how k = lookupResultToList $ lookupPartialByKey' (,) how k wlTrie
cand lkup = map (maybe (lkup TrieLookup_Normal workHd) (lkup TrieLookup_StopAtPartial))
combine' [] = []
combine' [[]] = []
combine' [x] = map (:[]) x
combine' (l:ls) = combine l $ combine' ls
where combine l ls
= concatMap (\e@(k,_)
-> mapMaybe (\ll -> maybe (Just (e:ll)) (const Nothing) $ List.lookup k ll)
ls
) l
match chr cnstrs
= foldl cmb (Just chrEmptySubst) $ matches chr cnstrs ++ checks chr
where matches (StoredCHR {storedChr = CHR {chrHead = hc}}) cnstrs
= zipWith mt hc cnstrs
where mt cFr cTo subst = chrMatchTo env subst cFr cTo
checks (StoredCHR {storedChr = CHR {chrGuard = gd}})
= map chk gd
where chk g subst = chrCheck env subst g
cmb (Just s) next = fmap (`chrAppSubst` s) $ next s
cmb _ _ = Nothing
isUsedByPropPart wlUsedIn (chr,(keys,_))
= fnd $ drop (storedSimpSz chr) keys
where fnd k = maybe False (storedIdent chr `Set.member`) $ Map.lookup (Set.fromList k) wlUsedIn
initState st = st { stWorkList = wlInsert wlnew $ stWorkList st, stDoneCnstrSet = Set.unions [Set.fromList done, stDoneCnstrSet st] }
where (wlnew,done) = splitDone cnstrs
splitDone = partition (\x -> cnstrRequiresSolve x)
%%]
isUsedByPropPart wlUsedIn (chr,(keys,_))
= all fnd $ drop (storedSimpSz chr) keys
where fnd k = maybe False (storedIdent chr `Set.member`) $ Map.lookup k wlUsedIn
-> iter {- $ trp "YY" ("chr" >#< schr >-< ppwork) $ -} st'
r4 = foldr first Nothing $ r3
-- r5 = foldr first Nothing r4
-> iter $ trp "PICK" (schr >-< "HD:" >#< ppTrieKey workHd >-< "TL:" >#< ppBracketsCommas (map ppTrieKey workTl) >-< "KEYS:" >#< ppBracketsCommas (map ppTrieKey keys) >-< "WORKS:" >#< ppBracketsCommasV works) $ st'
_ -> iter $ trp "NOT MATCHED" (ppTrieKey workHd) $ st'
= (\v -> trp "ZZ" ("workHd" >#< ppBracketsCommas workHd >#< "ks" >#< (ppBracketsCommas $ map (fmap ppBracketsCommas) ks) >#< (ppBracketsCommasV $ map (map (\(a,b) -> ppParensCommas [ppBracketsCommas a,pp b])) $ v)) v)
-- $ filter (not . isUsedByPropPart)
-- $ (\v -> trp "XX" (ppBracketsCommasV v) v)
isUsedByPropPart (chr,(keys,_))
= any fnd $ drop (storedSimpSz chr) keys
where fnd k = maybe False (storedIdent chr `Set.member`) $ Map.lookup k wlUsedIn
first (chr,kw@(_,works)) cont
= case match chr (map workCnstr works) of
r@(Just s) -> Just (chr,kw,s)
_ -> cont
match chr cnstrs
= foldl cmb (Just chrEmptySubst) $ matches chr cnstrs ++ checks chr
where matches (StoredCHR {storedChr = CHR {chrHead = hc}}) cnstrs
= zipWith mt hc cnstrs
where mt cFr cTo subst = chrMatchTo env subst (subst `chrAppSubst` cFr) cTo
checks (StoredCHR {storedChr = CHR {chrGuard = gd}})
= map chk gd
where chk g subst = chrCheck subst (subst `chrAppSubst` g)
cmb (Just s) next = fmap (`chrAppSubst` s) $ next s
cmb _ _ = Nothing
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% ForceEval
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%[99
instance ForceEval (CHR (Constraint p i) g s) => ForceEval (StoredCHR p i g s) where
forceEval x@(StoredCHR c i ks id) | forceEval c `seq` forceEval ks `seq` forceEval id `seq` True = x
%%[[101
fevCount (StoredCHR c i ks id) = cm1 "StoredCHR" `cmUnion` fevCount c `cmUnion` fevCount i `cmUnion` fevCount ks `cmUnion` fevCount id
%%]]
instance ForceEval (StoredCHR p i g s) => ForceEval (CHRStore p i g s) where
forceEval x@(CHRStore t) | forceEval t `seq` True = x
%%[[101
fevCount (CHRStore t) = cm1 "CHRStore" `cmUnion` fevCount t
%%]]
%%]