{- |

Module : $Header$

Copyright : (c) Christian Maeder and Uni Bremen 2003

Licence : All rights reserved.

Maintainer : hets@tzi.de

Stability : experimental

Portability : portable

Mixfix analysis of terms and patterns, adapted from the CASL analysis

-}

module HasCASL.MixAna where

import Common.GlobalAnnotations

import Common.Result

import Common.Id

import Common.PrettyPrint

import qualified Common.Lib.Map as Map

import Common.Lib.State

import HasCASL.As

import HasCASL.AsUtils

import HasCASL.Le

import HasCASL.Unify

import HasCASL.TypeAna

import HasCASL.TypeDecl

import HasCASL.Reader

import HasCASL.MixParserState

import Data.Maybe

-- import Debug.Trace

-- Earley Algorithm

lookUp :: (Ord a) => Map.Map a [b] -> a -> [b]

lookUp ce k = Map.findWithDefault [] k ce

type PMap a = Map.Map Index [PState a]

data ParseMap a = ParseMap { varCount :: Int

, lastIndex :: Index

, failDiags :: [Diagnosis]

, parseMap :: PMap a

}

termToToken :: Term -> Token

termToToken trm =

case trm of

TermToken x -> x

TypedTerm _ _ _ _ -> inTok

_ -> opTok

-- match (and shift) a token (or partially finished term)

scan :: TypeMap -> (Maybe Type, a) -> (a -> Token) -> ParseMap a -> ParseMap a

scan tm (ty, trm) f pm =

let m = parseMap pm

i = lastIndex pm

incI = incrIndex i

(ps, c2) = runState (mapM (scanState tm (ty, trm) $ f trm)

$ lookUp m i) $ varCount pm

in

pm { lastIndex = incI

, varCount = c2

, parseMap = Map.insert incI (concat ps) m }

-- final complete/reduction phase

-- when a grammar rule (mixfix Id) has been fully matched

collectArg :: GlobalAnnos -> TypeMap -> PMap a -> (PState a -> a)

-> PState a -> [PState a]

-- pre: finished rule

collectArg ga tm m f

s@(PState { ruleId = argIde, stateNo = arg, ruleType = argType }) =

map (\ p -> p { restRule = tail $ restRule p })

$ mapMaybe (filterByType tm (argType, f s))

$ filter (filterByPrec ga argIde)

$ lookUp m arg

compl :: GlobalAnnos -> TypeMap -> PMap a -> (PState a -> a)

-> [PState a] -> [PState a]

compl ga tm m f l =

concat $ map (collectArg ga tm m f)

$ filter (null . restRule) l

complRec :: GlobalAnnos -> TypeMap -> PMap a -> (PState a -> a)

-> [PState a] -> [PState a]

complRec ga tm m f l = let l1 = compl ga tm m f l in

if null l1 then l else complRec ga tm m f l1 ++ l

complete :: GlobalAnnos -> TypeMap -> (PState a -> a)

-> ParseMap a -> ParseMap a

complete ga tm f pm =

let m = parseMap pm

i = lastIndex pm in

pm { parseMap = Map.insert i (complRec ga tm m f $ lookUp m i) m }

-- predict which rules/ids might match for (the) nonterminal(s) (termTok)

-- provided the "dot" is followed by a nonterminal

predict :: (Index -> State Int [PState a]) -> ParseMap a -> ParseMap a

predict f pm =

let m = parseMap pm

i = lastIndex pm

c = varCount pm in

if not (isStartIndex i) && any (\ (PState { restRule = ts }) ->

not (null ts) && head ts == termTok)

(lookUp m i)

then let (nextStates, c2) = runState (f i) c

in pm { varCount = c2

, parseMap = Map.insertWith (++) i nextStates m }

else pm

completeScanPredict :: (PrettyPrint a, PosItem a)

=> GlobalAnnos -> TypeMap

-> (Maybe Type, a) -> (PState a -> a) -> (a -> Token)

-> (Index -> State Int [PState a])

-> ParseMap a -> ParseMap a

completeScanPredict ga tm (ty, a) fromState toToken initStates pm =

let pm3 = complete ga tm fromState

$ scan tm (ty, a) toToken

$ predict initStates pm

in if (null $ lookUp (parseMap pm3) $ lastIndex pm3)

&& null (failDiags pm3)

then pm3 { failDiags = [mkDiag Error "unexpected mixfix token" a] }

else pm3

nextState :: GlobalAnnos -> Assumps -> TypeMap -> (Maybe Type, Term)

-> ParseMap Term -> ParseMap Term

nextState ga is tm (ty, trm) =

completeScanPredict ga tm (ty, trm) stateToAppl termToToken $

initialState ga is

-- | find information for qualified operation

findOpId :: Assumps -> TypeMap -> Int -> UninstOpId -> Type -> Maybe OpInfo

findOpId as tm c i ty = listToMaybe $ fst $

partitionOpId as tm c i $ TypeScheme [] ([] :=> ty) []

iterStates :: GlobalAnnos -> Assumps -> TypeMap -> ClassMap -> Type -> [Term]

-> ParseMap Term -> ParseMap Term

iterStates ga as tm cm ty terms pm =

let self = iterStates ga as tm cm ty

in if null terms then pm

else case head terms of

MixfixTerm ts -> self (ts ++ tail terms) pm

BracketTerm b ts ps -> self

(expandPos TermToken (getBrackets b) ts ps ++ tail terms) pm

(QualVar v tyq ps) ->

let (Result es mt) = (readR $ anaType (star, tyq)) (cm, tm) in

case mt of

Just (_, typq) ->

let mi = findOpId as tm (varCount pm) v typq in

case mi of

Just _ -> self (tail terms) $ nextState ga as tm

(Just typq, QualVar v typq ps) pm

Nothing -> pm { failDiags =

[mkDiag Error

"value not found" v] }

Nothing -> pm { failDiags = es }

(QualOp io@(InstOpId v _ _) (TypeScheme vs (qs :=> tyq) ps1) ps2)

-> let (Result es mt) = (readR $ anaType (star, tyq)) (cm, tm)

in

case mt of

Just (_, typq) ->

let mi = findOpId as tm (varCount pm) v typq in

case mi of

Just _ -> self (tail terms) $ nextState ga as tm

(Just typq, QualOp io

(TypeScheme vs (qs :=> typq) ps1)

ps2) pm

Nothing -> pm { failDiags =

[mkDiag Error

"value not found" v] }

Nothing -> pm { failDiags = es }

TypedTerm hd tqual tyq ps ->

let (Result es mt) = (readR $ anaType (star, tyq)) (cm, tm) in

case mt of

Just (_, typq) ->

let (Result ds mtt, c2) = runRState

(case tqual of

OfType -> resolve ga as tm cm (typq, hd)

_ -> resolveAny ga as tm cm hd)

$ varCount pm

pm2 = pm { varCount = c2, failDiags = es++ds }

in case mtt of

Just (_, ttt) -> self (tail terms)

$ nextState ga as tm

(Just (case tqual of

InType -> logicalType

_ -> typq),

TypedTerm ttt tqual typq ps) pm2

Nothing -> pm2

Nothing -> pm { failDiags = es }

QuantifiedTerm quant decls hd ps ->

let (Result ds mtt, c2) = runRState

(resolve ga as tm cm (logicalType, hd)) $ varCount pm

pm2 = pm { varCount = c2, failDiags = ds }

in case mtt of

Just (_, tt) -> self (tail terms) $ nextState ga as tm

(Just logicalType,

QuantifiedTerm quant decls tt ps) pm2

Nothing -> pm2

LambdaTerm decls part hd ps ->

let (Result ds mtt, c2) = runRState

(resolveAny ga as tm cm hd) $ varCount pm

pm2 = pm { varCount = c2, failDiags = ds }

in case mtt of

Just (typq, tt) -> self (tail terms) $ nextState ga as tm

(Just typq, LambdaTerm decls part tt ps) pm2

Nothing -> pm2

CaseTerm hd (ProgEq pat e1 pps : _) ps ->

let (Result ds mtt, c2) = runRState

(resolveAny ga as tm cm hd) $ varCount pm

(Result es frst, c3) = runRState

(resolveAny ga as tm cm e1) c2

pm2 = pm { varCount = c3, failDiags = ds++es }

in case (mtt, frst) of

(Just (_, tt), Just (typq, te)) -> self (tail terms)

$ nextState ga as tm

(Just typq, CaseTerm tt [ProgEq pat te pps] ps) pm2

_ -> pm2

LetTerm eqs hd ps ->

let (Result ds mtt, c2) = runRState

(resolveAny ga as tm cm hd) $ varCount pm

pm2 = pm { varCount = c2, failDiags = ds }

in case mtt of

Just (typq, tt) -> self (tail terms) $ nextState ga as tm

(Just typq, LetTerm eqs tt ps) pm2

Nothing -> pm2

t@(TermToken _) -> self (tail terms)

$ nextState ga as tm (Nothing, t) pm

t -> error ("iterStates: " ++ show t)

getAppls :: ParseMap a -> [PState a]

getAppls pm =

filter (\ (PState { restRule = ts, stateNo = k })

-> null ts && isStartIndex k) $

lookUp (parseMap pm) $ lastIndex pm

getLastType :: ParseMap a -> Type

getLastType pm =

let tys = map ruleType $

filter (\ (PState { restRule = ts, stateNo = k })

-> null ts && isStartIndex k) $

lookUp (parseMap pm) $ lastIndex pm

in if null tys then error "getLastType" else head tys

resolveToParseMap :: GlobalAnnos -> Assumps -> TypeMap -> ClassMap -> Int

-> Type -> Term -> ParseMap Term

resolveToParseMap ga as tm cm c ty trm =

let (initStates, c2) = runState (initialState ga as startIndex) c in

iterStates ga as tm cm ty [trm]

ParseMap { lastIndex = startIndex

, failDiags = []

, varCount = c2

, parseMap = Map.single startIndex initStates }

checkResultType :: TypeMap -> Type -> ParseMap a -> ParseMap a

checkResultType tm t pm =

let m = parseMap pm

i = lastIndex pm in

pm { parseMap = Map.insert i

(mapMaybe (filterByResultType tm t)

$ lookUp m i) m }

resolveAny :: GlobalAnnos -> Assumps -> TypeMap -> ClassMap

-> Term -> RState Int (Type, Term)

resolveAny ga as tm cm trm =

do tvar <- liftS freshVar

resolve ga as tm cm (TypeName tvar star 1, trm)

resolveFromParseMap :: (PosItem a, PrettyPrint a) => (PState a -> a)

-> TypeMap -> (Type, a) -> ParseMap a -> Result (Type, a)

resolveFromParseMap f tm (ty, a) pm0 =

let pm = checkResultType tm ty $ pm0

ds = failDiags pm

ts = map f $ getAppls pm in

if null ts then Result

(if null ds then

[mkDiag FatalError "no resolution for" a]

else ds) Nothing

else if null $ tail ts then Result ds (Just (getLastType pm, head ts))

else Result (mkDiag

Error ("ambiguous applications:\n\t" ++

(concatMap ( \ t -> showPretty t "\n\t")

$ take 5 ts) ++ "for" ) a : ds) Nothing

resolve :: GlobalAnnos -> Assumps -> TypeMap -> ClassMap

-> (Type, Term) -> RState Int (Type, Term)

resolve ga as tm cm (ty, trm) =

do c <- liftS get

liftR $ resolveFromParseMap (toAppl ga) tm (ty, trm) $

resolveToParseMap ga as tm cm c ty trm

toEnvRState :: RState Int a -> RState Env a

toEnvRState p =

do s <- liftS get

let (r, c) = runRState p $ counter s

liftS $ put s { counter = c }

liftR r

resolveTerm :: GlobalAnnos -> Type -> Term -> RState Env Term

resolveTerm ga ty trm =

do s <- liftS $ get

(_, r) <- toEnvRState $ resolve ga

(assumps s) (typeMap s) (classMap s) (ty, trm)

return r

toRResultState :: RState s a -> State s (Result a)

toRResultState r =

do s <- get

let (r', s') = runRState r s

put s'

return r'

-- ---------------------------------

-- patterns

-- ---------------------------------

extractBindings :: Pattern -> [VarDecl]

extractBindings pat =

case pat of

PatternVar l -> [l]

PatternConstr _ _ ps _ -> concatMap extractBindings ps

TuplePattern ps _ -> concatMap extractBindings ps

TypedPattern p _ _ -> extractBindings p

AsPattern p q _ -> extractBindings p ++ extractBindings q

_ -> error ("extractBindings: " ++ show pat)

patToToken :: Pattern -> Token

patToToken pat =

case pat of

PatternToken x -> x

TypedPattern _ _ _ -> inTok

_ -> error ("patToToken: " ++ show pat)

patFromState :: PState Pattern -> Pattern

patFromState p =

let r@(Id ts _ _)= ruleId p

sc@(TypeScheme _ (_ :=> _ty) _) = ruleScheme p

ar = reverse $ ruleArgs p

qs = reverse $ posList p

in if r == inId

|| r == opId

|| r == parenId

then head ar

else if r == applId then

case head ar of

PatternConstr instOp isc args ps ->

PatternConstr instOp isc (args ++ tail ar) (ps ++ qs)

t -> error ("patFromState: " ++ show t)

else if r == tupleId || r == unitId then

TuplePattern ar qs

else if isUnknownId r then

if null $ tail ts then error "patFromState"

else PatternVar (VarDecl (Id [head $ tail ts] [] [])

(ruleType p) Other qs)

else PatternConstr (InstOpId (setIdePos r ar qs) [] []) sc ar qs

initialPatState :: Assumps -> Index -> State Int [PState a]

initialPatState as i =

do let ids = concatMap (\ (ide, l) -> map ( \ e -> (ide, e)) $ opInfos l)

$ Map.toList as

l1 <- mapM (mkMixfixState i) ids

l2 <- mapM (mkPlainApplState i) $ filter (isMixfix . fst) ids

a <- mkApplTokState i applId

p <- mkParenTokState i parenId

t <- mkTupleTokState i tupleId

l3 <- mapM (mkTokState i)

[unitId,

unknownId,

inId,

opId]

return (a:p:t:l1 ++ l2 ++ l3)

nextPatState :: GlobalAnnos -> Assumps -> TypeMap -> (Maybe Type, Pattern)

-> ParseMap Pattern -> ParseMap Pattern

nextPatState ga is tm (ty, trm) =

completeScanPredict ga tm (ty, trm) patFromState patToToken

$ initialPatState is

iterPatStates :: GlobalAnnos -> Assumps -> TypeMap -> ClassMap -> Type

-> [Pattern] -> ParseMap Pattern -> ParseMap Pattern

iterPatStates ga as tm cm ty pats pm =

let self = iterPatStates ga as tm cm ty

in if null pats then pm

else case head pats of

MixfixPattern ts -> self (ts ++ tail pats) pm

BracketPattern b ts ps -> self

(expandPos PatternToken (getBrackets b) ts ps ++ tail pats) pm

TuplePattern ts ps -> self

(expandPos PatternToken ("(", ")") ts ps ++ tail pats) pm

TypedPattern hd tyq ps ->

let (Result es mt) = (readR $ anaType (star, tyq)) (cm, tm) in

case mt of

Just (_, typq) ->

let (Result ds mtt, c2) = runState

(resolvePat ga as tm cm (typq, hd)) $ varCount pm

pm2 = pm { varCount = c2, failDiags = es++ds }

in case mtt of

Just (_, ttt) -> self (tail pats)

$ nextPatState ga as tm

(Just typq, TypedPattern ttt typq ps) pm2

Nothing -> pm2

Nothing -> pm { failDiags = es }

t@(PatternToken _) -> self (tail pats) $ nextPatState ga as tm

(Nothing, t) pm

t -> error ("iterPatState: " ++ show t)

resolvePatToParseMap :: GlobalAnnos -> Assumps -> TypeMap -> ClassMap -> Int

-> Type -> Pattern -> ParseMap Pattern

resolvePatToParseMap ga as tm cm c ty trm =

let (initStates, c2) = runState (initialPatState as startIndex) c in

iterPatStates ga as tm cm ty [trm]

ParseMap { lastIndex = startIndex

, failDiags = []

, varCount = c2

, parseMap = Map.single startIndex initStates }

resolveAnyPat :: GlobalAnnos -> Assumps -> TypeMap -> ClassMap

-> Pattern -> State Int (Result (Type, Pattern))

resolveAnyPat ga as tm cm trm =

do tvar <- freshVar

resolvePat ga as tm cm (TypeName tvar star 1, trm)

resolvePat :: GlobalAnnos -> Assumps -> TypeMap -> ClassMap

-> (Type, Pattern) -> State Int (Result (Type, Pattern))

resolvePat ga as tm cm (ty, trm) =

do c <- get

return $ resolveFromParseMap patFromState tm (ty, trm) $

resolvePatToParseMap ga as tm cm c ty trm

resolvePattern :: GlobalAnnos -> Pattern -> State Env (Result (Type, Pattern))

resolvePattern ga pat =

do s <- get

toEnvState $ resolveAnyPat ga

(assumps s) (typeMap s) (classMap s) pat