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https://github.com/GrammaticalFramework/gf-core.git
synced 2026-04-09 04:59:31 -06:00
high-order syntax in PMCFG
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@@ -37,76 +37,22 @@ import Debug.Trace
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-- main conversion function
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convertConcrete :: Abstr -> Concr -> ParserInfo
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convertConcrete abs cnc = fixHoasFuns $ convert abs_defs' conc' cats'
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convertConcrete abs cnc = convert abs_defs conc cats
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where abs_defs = Map.assocs (funs abs)
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conc = Map.union (opers cnc) (lins cnc) -- "union big+small most efficient"
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cats = lincats cnc
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(abs_defs',conc',cats') = expandHOAS abs_defs conc cats
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expandHOAS :: [(CId,(Type,Expr))] -> TermMap -> TermMap -> ([(CId,(Type,Expr))],TermMap,TermMap)
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expandHOAS funs lins lincats = (funs' ++ hoFuns ++ varFuns,
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Map.unions [lins, hoLins, varLins],
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Map.unions [lincats, hoLincats, varLincat])
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where
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-- replace higher-order fun argument types with new categories
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funs' = [(f,(fixType ty,e)) | (f,(ty,e)) <- funs]
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where
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fixType :: Type -> Type
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fixType ty = let (ats,rt) = typeSkeleton ty in cftype (map catName ats) rt
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hoTypes :: [(Int,CId)]
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hoTypes = sortNub [(n,c) | (_,(ty,_)) <- funs, (n,c) <- fst (typeSkeleton ty), n > 0]
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hoCats = sortNub (map snd hoTypes)
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-- for each Cat with N bindings, we add a new category _NCat
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-- each new category contains a single function __NCat : Cat -> _Var -> ... -> _Var -> _NCat
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hoFuns = [(funName ty,(cftype (c : replicate n varCat) (catName ty),EEq [])) | ty@(n,c) <- hoTypes]
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-- lincats for the new categories
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hoLincats = Map.fromList [(catName ty, modifyRec (++ replicate n (S [])) (lincatOf c)) | ty@(n,c) <- hoTypes]
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-- linearizations of the new functions, lin __NCat v_0 ... v_n-1 x = { s1 = x.s1; ...; sk = x.sk; $0 = v_0.s ...
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hoLins = Map.fromList [ (funName ty, mkLin c n) | ty@(n,c) <- hoTypes]
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where mkLin c n = modifyRec (\fs -> [P (V 0) (C j) | j <- [0..length fs-1]] ++ [P (V i) (C 0) | i <- [1..n]]) (lincatOf c)
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-- for each Cat, we a add a fun _Var_Cat : _Var -> Cat
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varFuns = [(varFunName cat, (cftype [varCat] cat,EEq [])) | cat <- hoCats]
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-- linearizations of the _Var_Cat functions
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varLins = Map.fromList [(varFunName cat, R [P (V 0) (C 0)]) | cat <- hoCats]
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-- lincat for the _Var category
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varLincat = Map.singleton varCat (R [S []])
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lincatOf c = fromMaybe (error $ "No lincat for " ++ prCId c) $ Map.lookup c lincats
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modifyRec :: ([Term] -> [Term]) -> Term -> Term
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modifyRec f (R xs) = R (f xs)
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modifyRec _ t = error $ "Not a record: " ++ show t
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varCat = mkCId "_Var"
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catName :: (Int,CId) -> CId
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catName (0,c) = c
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catName (n,c) = mkCId ("_" ++ show n ++ prCId c)
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funName :: (Int,CId) -> CId
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funName (n,c) = mkCId ("__" ++ show n ++ prCId c)
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varFunName :: CId -> CId
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varFunName c = mkCId ("_Var_" ++ prCId c)
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-- replaces __NCat with _B and _Var_Cat with _.
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-- the temporary names are just there to avoid name collisions.
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fixHoasFuns :: ParserInfo -> ParserInfo
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fixHoasFuns pinfo = pinfo{functions=mkArray [FFun (fixName n) prof lins | FFun n prof lins <- elems (functions pinfo)]}
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where fixName (CId n) | BS.pack "__" `BS.isPrefixOf` n = (mkCId "_B")
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| BS.pack "_Var_" `BS.isPrefixOf` n = wildCId
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fixName n = n
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convert :: [(CId,(Type,Expr))] -> TermMap -> TermMap -> ParserInfo
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convert abs_defs cnc_defs cat_defs = getParserInfo (List.foldl' (convertRule cnc_defs) (emptyGrammarEnv cnc_defs cat_defs) xrules)
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convert abs_defs cnc_defs cat_defs =
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let env = expandHOAS abs_defs cnc_defs cat_defs (emptyGrammarEnv cnc_defs cat_defs)
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in getParserInfo (List.foldl' (convertRule cnc_defs) env xrules)
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where
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xrules = [
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(XRule id args res (map findLinType args) (findLinType res) term) |
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(id, (ty,_)) <- abs_defs, let (args,res) = catSkeleton ty,
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(XRule id args (0,res) (map findLinType args) (findLinType (0,res)) term) |
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(id, (ty,_)) <- abs_defs, let (args,res) = typeSkeleton ty,
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term <- Map.lookup id cnc_defs]
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findLinType id = fromMaybe (error $ "No lincat for " ++ show id) (Map.lookup id cat_defs)
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findLinType (_,id) = fromMaybe (error $ "No lincat for " ++ show id) (Map.lookup id cat_defs)
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brk :: (GrammarEnv -> GrammarEnv) -> (GrammarEnv -> GrammarEnv)
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brk f (GrammarEnv last_id catSet seqSet funSet crcSet prodSet) =
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@@ -149,21 +95,27 @@ convertRule cnc_defs grammarEnv (XRule fun args res ctypes ctype term) =
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type CnvMonad a = BacktrackM Env a
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type FPath = [FIndex]
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data ProtoFCat = PFCat CId [FPath] [(FPath,[FIndex])]
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data ProtoFCat = PFCat Int CId [FPath] [(FPath,[FIndex])]
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type Env = (ProtoFCat, [ProtoFCat])
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type LinRec = [(FPath, [FSymbol])]
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data XRule = XRule CId {- function -}
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[CId] {- argument types -}
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CId {- result type -}
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[Term] {- argument lin-types representation -}
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Term {- result lin-type representation -}
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Term {- body -}
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data XRule = XRule CId {- function -}
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[(Int,CId)] {- argument types: context size and category -}
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(Int,CId) {- result type : context size (always 0) and category -}
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[Term] {- argument lin-types representation -}
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Term {- result lin-type representation -}
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Term {- body -}
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protoFCat :: TermMap -> CId -> Term -> ProtoFCat
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protoFCat cnc_defs cat ctype =
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let (rcs,tcs) = loop [] [] [] ctype
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in PFCat cat rcs tcs
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protoFCat :: TermMap -> (Int,CId) -> Term -> ProtoFCat
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protoFCat cnc_defs (n,cat) ctype =
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let (rcs,tcs) = loop [] [] [] ctype'
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in PFCat n cat rcs tcs
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where
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ctype' -- extend the high-order linearization type
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| n > 0 = case ctype of
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R xs -> R (xs ++ replicate n (S []))
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_ -> error $ "Not a record: " ++ show ctype
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| otherwise = ctype
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loop path rcs tcs (R record) = List.foldl' (\(rcs,tcs) (index,term) -> loop (index:path) rcs tcs term) (rcs,tcs) (zip [0..] record)
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loop path rcs tcs (C i) = ( rcs,(path,[0..i]):tcs)
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loop path rcs tcs (S _) = (path:rcs, tcs)
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@@ -209,7 +161,7 @@ convertArg (C max) nr path lbl_path lin lins = do
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return lins
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convertArg (S _) nr path lbl_path lin lins = do
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(_, args) <- readState
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let PFCat cat rcs tcs = args !! nr
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let PFCat _ cat rcs tcs = args !! nr
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return ((lbl_path, FSymCat nr (index path rcs 0) : lin) : lins)
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where
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index lbl' (lbl:lbls) idx
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@@ -236,7 +188,7 @@ convertRec cnc_defs (index:sub_sel) ctype record lbl_path lin lins = do
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evalTerm :: TermMap -> FPath -> Term -> CnvMonad FIndex
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evalTerm cnc_defs path (V nr) = do (_, args) <- readState
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let PFCat _ _ tcs = args !! nr
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let PFCat _ _ _ tcs = args !! nr
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rpath = reverse path
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index <- member (fromMaybe (error "evalTerm: wrong path") (lookup rpath tcs))
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restrictArg nr rpath index
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@@ -256,14 +208,14 @@ evalTerm cnc_defs path x = error ("evalTerm ("++show x++")")
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-- GrammarEnv
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data GrammarEnv = GrammarEnv {-# UNPACK #-} !Int CatSet SeqSet FunSet CoerceSet (IntMap.IntMap (Set.Set Production))
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type CatSet = Map.Map CId (FCat,FCat,[Int])
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type CatSet = IntMap.IntMap (Map.Map CId (FCat,FCat,[Int]))
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type SeqSet = Map.Map FSeq SeqId
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type FunSet = Map.Map FFun FunId
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type CoerceSet= Map.Map [FCat] FCat
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emptyGrammarEnv cnc_defs lincats =
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let (last_id,catSet) = Map.mapAccumWithKey computeCatRange 0 lincats
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in GrammarEnv last_id catSet Map.empty Map.empty Map.empty IntMap.empty
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in GrammarEnv last_id (IntMap.singleton 0 catSet) Map.empty Map.empty Map.empty IntMap.empty
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where
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cidString = mkCId "String"
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cidInt = mkCId "Int"
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@@ -286,6 +238,64 @@ emptyGrammarEnv cnc_defs lincats =
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Just term -> getMultipliers m ms term
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Nothing -> error ("unknown identifier: "++prCId id)
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expandHOAS abs_defs cnc_defs lincats env =
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foldl add_varFun (foldl (\env ncat -> add_hoFun (add_hoCat env ncat) ncat) env hoTypes) hoCats
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where
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hoTypes :: [(Int,CId)]
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hoTypes = sortNub [(n,c) | (_,(ty,_)) <- abs_defs
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, (n,c) <- fst (typeSkeleton ty), n > 0]
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hoCats :: [CId]
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hoCats = sortNub [c | (_,(ty,_)) <- abs_defs
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, Hyp _ ty <- case ty of {DTyp hyps val _ -> hyps}
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, c <- fst (catSkeleton ty)]
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-- add a range of PMCFG categories for each GF high-order category
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add_hoCat env@(GrammarEnv last_id catSet seqSet funSet crcSet prodSet) (n,cat) =
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case IntMap.lookup 0 catSet >>= Map.lookup cat of
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Just (start,end,ms) -> let !catSet' = IntMap.insertWith Map.union n (Map.singleton cat (last_id,last_id+(end-start),ms)) catSet
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!last_id' = last_id+(end-start)+1
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in (GrammarEnv last_id' catSet' seqSet funSet crcSet prodSet)
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Nothing -> env
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-- add one PMCFG function for each high-order type: _B : Cat -> Var -> ... -> Var -> HoCat
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add_hoFun env (n,cat) =
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let linRec = reverse $
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[(l ,[FSymCat 0 i]) | (l,i) <- case arg of {PFCat _ _ rcs _ -> zip rcs [0..]}] ++
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[([],[FSymCat i 0]) | i <- [1..n]]
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(env1,lins) = List.mapAccumL addFSeq env linRec
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newLinRec = mkArray lins
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(env2,funid) = addFFun env1 (FFun _B [[i] | i <- [0..n]] newLinRec)
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env3 = foldl (\env (arg,res) -> addProduction env res (FApply funid (arg : replicate n fcatVar)))
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env2
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(zip (getFCats env2 arg) (getFCats env2 res))
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in env3
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where
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(arg,res) = case Map.lookup cat lincats of
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Nothing -> error $ "No lincat for " ++ prCId cat
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Just ctype -> (protoFCat cnc_defs (0,cat) ctype, protoFCat cnc_defs (n,cat) ctype)
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-- add one PMCFG function for each high-order category: _V : Var -> Cat
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add_varFun env cat =
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let (env1,seqid) = addFSeq env ([],[FSymCat 0 0])
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lins = replicate (case res of {PFCat _ _ rcs _ -> length rcs}) seqid
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(env2,funid) = addFFun env1 (FFun _V [[0]] (mkArray lins))
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env3 = foldl (\env res -> addProduction env2 res (FApply funid [fcatVar]))
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env2
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(getFCats env2 res)
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in env3
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where
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res = case Map.lookup cat lincats of
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Nothing -> error $ "No lincat for " ++ prCId cat
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Just ctype -> protoFCat cnc_defs (0,cat) ctype
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_B = mkCId "_B"
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_V = mkCId "_V"
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addProduction :: GrammarEnv -> FCat -> Production -> GrammarEnv
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addProduction (GrammarEnv last_id catSet seqSet funSet crcSet prodSet) cat p =
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GrammarEnv last_id catSet seqSet funSet crcSet (IntMap.insertWith Set.union cat (Set.singleton p) prodSet)
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@@ -320,7 +330,7 @@ getParserInfo (GrammarEnv last_id catSet seqSet funSet crcSet prodSet) =
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ParserInfo { functions = mkArray funSet
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, sequences = mkArray seqSet
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, productions = IntMap.union prodSet coercions
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, startCats = Map.map (\(start,end,_) -> range (start,end)) catSet
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, startCats = maybe Map.empty (Map.map (\(start,end,_) -> range (start,end))) (IntMap.lookup 0 catSet)
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, totalCats = last_id+1
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}
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where
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@@ -329,8 +339,8 @@ getParserInfo (GrammarEnv last_id catSet seqSet funSet crcSet prodSet) =
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coercions = IntMap.fromList [(fcat,Set.fromList (map FCoerce sub_fcats)) | (sub_fcats,fcat) <- Map.toList crcSet]
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getFCats :: GrammarEnv -> ProtoFCat -> [FCat]
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getFCats (GrammarEnv last_id catSet seqSet funSet crcSet prodSet) (PFCat cat rcs tcs) =
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case Map.lookup cat catSet of
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getFCats (GrammarEnv last_id catSet seqSet funSet crcSet prodSet) (PFCat n cat rcs tcs) =
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case IntMap.lookup n catSet >>= Map.lookup cat of
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Just (start,end,ms) -> reverse (solutions (variants ms tcs start) ())
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where
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variants _ [] fcat = return fcat
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@@ -353,9 +363,9 @@ restrictHead path term
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writeState (head', args)
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restrictProtoFCat :: FPath -> FIndex -> ProtoFCat -> CnvMonad ProtoFCat
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restrictProtoFCat path0 index0 (PFCat cat rcs tcs) = do
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restrictProtoFCat path0 index0 (PFCat n cat rcs tcs) = do
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tcs <- addConstraint tcs
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return (PFCat cat rcs tcs)
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return (PFCat n cat rcs tcs)
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where
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addConstraint [] = error "restrictProtoFCat: unknown path"
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addConstraint (c@(path,indices) : tcs)
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@@ -109,20 +109,38 @@ extractExps (State pinfo chart items) start = exps
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let FFun fn _ lins = functions pinfo ! funid
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lbl <- indices lins
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Just fid <- [lookupPC (PK cat lbl 0) (passive st)]
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go Set.empty 0 (0,fid)
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(fvs,tree) <- go Set.empty 0 (0,fid)
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guard (Set.null fvs)
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return tree
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go rec fcat' (d,fcat)
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| fcat < totalCats pinfo = [Meta (fcat'*10+d)] -- FIXME: here we assume that every rule has at most 10 arguments
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| fcat < totalCats pinfo = return (Set.empty,Meta (fcat'*10+d)) -- FIXME: here we assume that every rule has at most 10 arguments
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| Set.member fcat rec = mzero
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| otherwise = foldForest (\funid args trees ->
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do let FFun fn _ lins = functions pinfo ! funid
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args <- mapM (go (Set.insert fcat rec) fcat) (zip [0..] args)
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return (Fun fn args)
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check_ho_fun fn args
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`mplus`
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trees)
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(\const _ trees ->
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return (freeVar const,const)
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`mplus`
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trees)
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(\const _ trees -> const : trees)
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[] fcat (forest st)
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check_ho_fun fun args
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| fun == _V = return (head args)
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| fun == _B = return (foldl1 Set.difference (map fst args),Abs [mkVar (snd e) | e <- tail args] (snd (head args)))
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| otherwise = return (Set.unions (map fst args),Fun fun (map snd args))
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mkVar (Var v) = v
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mkVar (Meta _) = wildCId
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freeVar (Var v) = Set.singleton v
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freeVar _ = Set.empty
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_B = mkCId "_B"
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_V = mkCId "_V"
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process fn !seqs !funs [] acc chart = (acc,chart)
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process fn !seqs !funs (item@(Active j ppos funid seqid args key0):items) acc chart
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