Plan 9 from Bell Labs’s /usr/web/sources/contrib/fernan/nhc98/src/compiler98/Type/Type.hs

Copyright © 2021 Plan 9 Foundation.
Distributed under the MIT License.
Download the Plan 9 distribution.


module Type.Type(typeTopDecls) where

import List(partition)
import TokenId
import Syntax
import SyntaxPos
import IdKind
import State
import NT
import Type.Lib(typeUnify,typeUnifyMany,typeUnifyApply,typePatCon,typeExpCon
              ,typeIdentDict,getIdent,getTypeErrors,typeError
              ,typeNewTVar,typeIdentDef,checkExist,funType,extendEnv,getEnv
              ,getState,setState,msgPatGdExps,msgPatGd
              ,msgFun,msgPat,msgLit,msgBool,msgGdExps,msgAltExps,msgCase
              ,msgAltPats,msgIf,msgApply,msgList,msgExpType,msgAs,msgNK)
import Type.Env(initEnv,envDecls,tvarsInEnv,envPats,envPat)
import Util.Extra
import Util.MergeSort(group,unique)
import Type.Subst
import Type.Ctx
import Type.Data
import IntState
import Type.Util(ntIS)
import Type.Unify(unify)
import Nice
import Bind(identPat)
import Extract(type2NT)
import qualified Data.Map as Map
import Remove1_3
import Id(Id)
import Maybe

--import PPSyntax   -- just for debugging
--import StrSyntax  -- just for debugging

typeTopDecls :: ((TokenId,IdKind) -> Id) 
             -> Maybe [Id]
             -> IntState
             -> [ClassCode (Exp Id) Id]
             -> Decls Id 
             -> ([ClassCode (Exp Id) Id],Decls Id,IntState)
typeTopDecls tidFun defaults state code topdecls =
  let defaults' =
        case defaults of
          Nothing -> [tidFun (tInteger,TCon),tidFun (tDouble,TCon)]
          Just def -> def
      result =  typeTopDeclScc topdecls tidFun defaults' finalState state
      finalState = snd result
  in case result of
       (topdecls,state) ->
          case mapS typeCode code  tidFun  state of
            (code,state) ->
               (code,topdecls,state)

typeCode :: ClassCode (Exp Id) Id
         -> State t IntState (ClassCode (Exp Id) Id) IntState

typeCode d@(CodeClass pos cls) tidFun state = (d,state)
typeCode (CodeInstance pos cls typ _ _ ms) tidFun state =
  let clsInfo = fromJust (lookupIS state cls)
      sc = superclassesI clsInfo
      (_,free,ctxs) = fromJust (Map.lookup typ (instancesI clsInfo))
  in case uniqueISs state ctxs of
      (ctxsi,state) ->
        (CodeInstance pos cls typ (map snd ctxsi)
             (map (buildCtx state noPos (map (mapFst (mapSnd mkNTvar)) ctxsi) . ( \ cls -> TypeDict cls (mkNTcons typ (map mkNTvar free)) [(toEnum 0,pos)])) sc) ms
        ,state)


typeTopDeclScc :: Decls Id
               -> ((TokenId,IdKind) -> Id)
               -> [Id] -> a
               -> IntState
               -> (Decls Id,IntState)

typeTopDeclScc (DeclsScc xs) tidFun defaults finalState state =
     case mapS typeDepend xs (TypeDown initEnv tidFun defaults [] []) (TypeState state idSubst initCtxs []) of
        (xs,TypeState state phi ctxs ectxsi) -> (DeclsScc (concat xs),state)


typeDeclScc :: Decls Id -> TypeMonad (Decls Id)
typeDeclScc (DeclsScc xs) =
  mapS typeDepend xs >>>= \ xs ->
  unitS (DeclsScc (concat xs))


typeDepend :: DeclsDepend Id
           -> TypeMonad [DeclsDepend Id]
typeDepend (DeclsNoRec d13) =
  fixDecl13 d13 >>>= \ d ->
  typeScc [d] >>>= \ (dicts,[d]) ->
  unitS (map DeclsNoRec dicts ++ [DeclsNoRec d])

typeDepend (DeclsRec ds13) =
  mapS fixDecl13 ds13 >>>= \ ds ->
  typeScc ds >>>= \ (dicts,ds) ->
  unitS (map DeclsNoRec dicts ++ [DeclsRec ds])

--- ======== The hairy part

typeScc :: [Decl Id] -> TypeMonad ([Decl Id],[Decl Id])

typeScc decls down@(TypeDown env tidFun defaults ctxsDict envDict)
              up@(TypeState state phi inCtxs ectxsi) =
  let -- ctxs should only get up but the monad can not handle that!
      trueExp :: Exp Id  -- this expression has become superfluous,
                         -- but it is a lot of work to remove it from the code
      trueExp = ExpCon noPos (tidFun (tTrue,Con))

      nextTvar :: Id
      (nextTvar,_) = uniqueIS state -- take a look at the next type variable

      envHere :: [(Id, NT)]
      (envHere,up') =
                envDecls decls () (TypeState state phi initCtxs [])

      decls' :: [Decl Id]
      (decls', TypeState state'' phi'' ctxs'' existCtxsi) =
                mapS typeDecl decls
                     (TypeDown (envHere++env) tidFun defaults
                               (usedCtx ++ ctxsDict)
                               (derivedDict ++ envDict))
                     up'

      phiEnv :: [(Id,NT)]
      phiEnv     = substEnv phi'' env
      phiEnvHere :: [(Id,NT)]
      phiEnvHere = substEnv phi'' envHere
      phiCtxs :: [TypeDict]
      phiCtxs    = substCtxs phi'' ctxs''

      globalTVars :: [Id]
      globalTVars = (unique . tvarsInEnv) phiEnv

      uniqueCtxs :: [TypeDict]
      uniqueCtxs =      -- These contexts are needed
                ( map (\(TypeDict c v ip:cvips) ->
                         TypeDict c v (ip++concatMap (\(TypeDict c v ip)-> ip)
                                                     cvips))
                . group
                )  phiCtxs

      existCtxs :: [(Id,NT)]
      existCtxs = map fst existCtxsi

      globalCtxs :: [(Id,NT)]
      localCtxs0 :: [(Id,NT)]
      (globalCtxs,localCtxs0) =   -- These are the simplified context
                                  -- that are needed
                ( partition  ( \ (c,nt) -> stripNT nt `elem` globalTVars)
                . ctxsReduce state
                . concatMap (ctxsSimplify (map getPos decls) state [])
--                . map ( \ (TypeDict c nt _) -> (c,nt))
                ) uniqueCtxs

      localCtxs :: [(Id,NT)]
      localCtxs = filter (`notElem` existCtxs) localCtxs0


        -- get some unique identifiers

      globalCtxsi :: [((Id,NT),Id)]
      (globalCtxsi,state1) = uniqueISs state'' globalCtxs

      localCtxsi :: [((Id,NT),Id)]
      (localCtxsi,state2) = uniqueISs state1 localCtxs

        -- Contexts that depend on type variables that are not all quantified

      outCtxs :: [TypeDict]
      outCtxs = map ( \ ((c,nt),i) -> TypeDict c nt [(i,noPos)]) globalCtxsi

        -- Set up argument and available dictionaries for identifiers
        -- without a given type

      derivedArgs :: [(Id,Exp Id)]
      derivedArgs = map (\((c,nt),i) -> (stripNT nt,ExpVar noPos i)) localCtxsi
      derivedDict :: [(Id,[Exp Id])]
      derivedDict = map (\(i,nt) -> (i, (map snd
                                        . filter ((`elem` freeNT nt) . fst))
                                        derivedArgs)
                        ) phiEnvHere   -- default is fixed in bindType

        -- Create mapping from Int to expression for requested dictionary

      usedCtx :: [(Id,Exp Id)]
      usedCtx = concatMap (\(TypeDict c nt ips) ->
                             let dict = buildCtx state noPos
                                          (existCtxsi++localCtxsi++globalCtxsi)
                                          (TypeDict c nt ips)
                             in map (\(i,p) -> (i,dict)) ips
                          ) uniqueCtxs

        -- Insert types into state (comparing with given type if such exist)
        -- and add dictionary arguments

      declsDict :: [Decl Id]
      declsDict = map (\(_,i) ->
                         case lookup i ctxsDict of
                           Just exp -> DeclFun noPos i [Fun [] (Unguarded exp)
                                                            (DeclsScc [])]
                      ) globalCtxsi

      (decls'',state3) = mapS bindType decls'
                              (globalTVars,trueExp,localCtxsi
                              ,phiEnvHere,defaults)
                              state2
  in
{-
        strace ("usedCtx = " ++ show (map fst usedCtx)) $
        strace ("globalCtxs = " ++ show globalCtxs) $
        strace ("localCtxs0 = " ++ show localCtxs0) $
        strace ("existCtxs = " ++ show existCtxs) $
        strace ("phi'' = " ++ show phi'') $
        strace ("ctxs'' = " ++ show ctxs'') $
        strace ("phiCtxs = " ++ show phiCtxs) $
-}
     ((declsDict,decls'')
     ,TypeState state3 (stripSubst phi'' nextTvar) (outCtxs++inCtxs) existCtxsi)


--------------------- Fix arguments and types

isExist :: NT -> Bool
isExist (NTexist _ _) = True
isExist _             = False


bindType :: Decl Id
         -> State ([Id], Exp Id, [((Id, NT), Id)], [(Id, NT)], [Id])
                  IntState
                  (Decl Id)
                  IntState

bindType decl@(DeclPat (Alt pat gdexps decls))
         down@(globalTVars,trueExp,[],envHere,defaults) state =
  -- No context for left hand patterns!
  case mapS0 checkType (identPat pat) down state of
    state -> (decl,state)
 where
  checkType (pos,ident) (globalTVars,trueExp,localCtxi,envHere,defaults) state =
    case lookup ident envHere of
      Nothing -> strace ("Nothing derived for " ++ show ident ++
                         " at "++strPos pos) state
      Just derivedNT ->
        let derivedFree = filter (`notElem` globalTVars)
                                 (snub (freeNT derivedNT))
        in case ntIS state ident of
            (NoType,state) ->
              updateIS state ident (newNT
                                     (NewType derivedFree [] []
                                              [polyNT derivedFree derivedNT]))
            (given@(NewType givenFree [] givenCtx [givenNT]),state) ->
              if length givenFree /= length derivedFree
              then addError state
                            ("Derived type " ++ show derivedFree
                            ++ niceNT Nothing state (mkALNT derivedNT) derivedNT
                            ++ " is not an instance of "
                            ++ show givenFree
                            ++ niceNT Nothing state (mkAL givenFree) givenNT
                            ++ " at " ++ strPos pos)
              else state

bindType decl@(DeclPat (Alt pat gdexps decls))
         down@(globalTVars,trueExp,localCtxsi,envHere,defaults) state =
  -- No context for left hand patterns!
  (decl,addError (foldr typeError state (identPat pat)) errmsg)
 where
  errmsg = "Context for " ++ mixCommaAnd ((map (strIS state) . unique .
                                           map (fst . fst)) localCtxsi)
           ++ " needed in left hand pattern at " ++ strPos (getPos pat) ++ "."
  nt = NewType [toEnum 1] [] [] [mkNTvar (toEnum 1)] -- Used instead of derived type, not sure
                                     -- if it is any idea
  typeError (pos,ident) state = (updateIS state ident (newNT nt))

bindType decl@(DeclPrimitive pos fun arity typ) down state =
  (decl,state)
bindType decl@(DeclForeignImp pos conv str fun arity cast typ _) down state =
  (decl,state)
bindType decl@(DeclForeignExp pos conv str fun typ) down state =
  (decl,state)
bindType decl@(DeclFun pos fun funs)
         (globalTVars,trueExp,localCtxi,envHere,defaults) state =
  case ntIS state fun of
    (NoType,state) ->
      let derivedNT = assocDef  envHere (error "162") fun
          derivedFree = filter (`notElem` globalTVars) (snub (freeNT derivedNT))
          derivedCtxi :: [((Id,NT),Id)]
          defaultCtxi :: [((Id,NT),Id)]
          (derivedCtxi,defaultCtxi) = partition ((`elem` derivedFree) . stripNT
                                                 . snd . fst) localCtxi
      in  case filter (isExist . snd . fst) defaultCtxi of
            [] ->
               case buildDefaults pos defaultCtxi trueExp defaults state of
                 (defaultDecls,state) ->
                    (DeclFun pos fun
                             (map (bindFun (map (\ (c_v,i) -> ExpVar pos i)
                                                derivedCtxi)
                                           (map DeclsNoRec defaultDecls))  funs)
                    ,updateIS state fun
                              (newNT (NewType derivedFree []
                                              (map (mapSnd stripNT . fst)
                                                   derivedCtxi)
                                              [polyNT derivedFree derivedNT]))
                    )
            er -> (decl, addError state ("Dictionary can not be found "
                                        ++ "for existential types, "
                                        ++ "error detected at " ++ strPos pos)
                  )

    (given@(NewType givenFree [] givenCtx [givenNT]),state) ->
      let derivedNT = assocDef envHere (error "171")  fun
      in
      case unify state idSubst (derivedNT,givenNT) of
        Left (phi,err) ->
          (decl
          ,addError state
               ("Derived type for " ++ strIS state fun ++ " at " ++ strPos pos
               ++" can not be unified with given type due to " ++ err
               ++"\nDerived:"++niceNT Nothing state (mkALNT derivedNT) derivedNT
               ++"\nGiven  :" ++ niceNT Nothing state (mkAL givenFree) givenNT))
        Right phi ->
          let phis = ( foldr (\ (k,v) t -> Map.insertWith (++) k [v] t) Map.empty
                     . map fixSubst
                     . Map.toList
                     ) phi

              al = mkAL (givenFree ++ freeNT derivedNT)

              fixSubst (v,NTvar v' k) = if v`elem`givenFree then (v',NTvar v k)
                                                            else (v,NTvar v' k)
              fixSubst (v,NTany v')   = if v`elem`givenFree then (v',mkNTvar v)
                                                            else (v,mkNTvar v')
              fixSubst p = p

              one2many phi = ( filter ((/= 1).length.snd)
                             . Map.toList) phis
              freebound phi = ( filter ((`elem` givenFree).fst)
                              . filter ((== 1).length . snd)
                              . Map.toList
                              ) phis

              safePhi phi v =
                      case Map.lookup v phi of
                         Nothing -> Just v
                         Just xs -> findV xs

              findV [NTvar v _] = Just v
              findV [NTany v] = Just v
              findV _ = Nothing

              sameNT (NTany _) v   = NTany v
              sameNT (NTvar _ k) v   = NTvar v k
              sameNT (NTexist _ k) v = NTexist v k


              localCtxi' = ( map fromJust
                           . filter isJust
                           . map (\((c,nt),i) ->
                                   case safePhi phis (stripNT nt) of
                                     Just v  -> Just ((c,sameNT nt v),i)
                                     Nothing -> Nothing) -- either one2many
                                                         -- of freebound
                           ) localCtxi
              (derivedCtxi,defaultCtxi) =
                  partition ((`elem` givenFree) . stripNT .snd.fst) localCtxi'
              derivedIntPairI = map (mapFst (mapSnd stripNT)) derivedCtxi

              ctxcheck ctxi = filter ((`notElem` givenCtx) . fst) ctxi

          in
          case (one2many phis,freebound phis,ctxcheck derivedIntPairI) of
            ([],[],[]) ->
                -- Type is ok, but we need to introduce new unique ints
                -- for excessive contexts, eg, (Eq a,Ord a)
                let (mGivenCtxi',state2) =
                          (uniqueISs state . zip givenCtx
                          . map (\cv-> lookup cv derivedIntPairI)) givenCtx
                    givenCtxi' = map stripAndFix mGivenCtxi'
                    stripAndFix ((c,Nothing),u) = (c,u)
                    stripAndFix ((c,Just v),u) = (c,v)
                in
                case filter (isExist . snd . fst) defaultCtxi of
                  [] ->
                    case buildDefaults pos defaultCtxi trueExp
                                       defaults state2 of
                      (defaultDecls,state3) ->
                          (DeclFun pos fun
                                   (map (bindFun (map (\(c_v,i)-> ExpVar pos i)
                                                      givenCtxi')
                                                 (map DeclsNoRec defaultDecls))
                                        funs)
                               ,state3
                               )
                  er ->
                    (decl
                    ,addError state
                        ("Dictionary can not be found for existential types, "
                        ++ "error detected at " ++ strPos pos
                        ++ " (signature given)"))
            (eOne2Many,eFreeBound,eCtxs) ->
                let sOne2Many xs =
                        concatMap (\(v,nts)->
                                   "\n    type variable "
                                   ++ niceNT Nothing state al (mkNTvar v)
                                   ++ " bound to "
                                   ++ mixCommaAnd (map (niceNT Nothing state al)
                                                        nts)
                                  ) xs
                    sFreeBound [] = []
                    sFreeBound [(v,t)] =
                        "\n    given free variable "
                        ++ niceNT Nothing state al (mkNTvar v)
                        ++ " is bound to " ++ niceNT Nothing state al (head t)
                    sFreeBound xs =
                        "\n    given free variables "
                        ++ mixCommaAnd (map (niceNT Nothing state al
                                            . mkNTvar . fst) xs)
                        ++ " are bound to "
                        ++ mixCommaAnd (map (niceNT Nothing state al
                                            . head . snd) xs)
                        ++ " respectively"
                    sCtxs [] = ""
                    sCtxs xs = "\n    different contexts"
                in
                (decl
                ,addError state
                    ("Derived type for " ++ strIS state fun
                    ++ " at " ++ strPos pos ++ " does not match due to:"
                    ++ sOne2Many eOne2Many ++ sFreeBound eFreeBound
                    ++ sCtxs eCtxs
                    ++ "\nDerived:"
                    ++ niceCtxs Nothing state al (map fst derivedIntPairI)
                    ++ niceNT Nothing state al derivedNT
                    ++ "\nGiven  :"
                    ++ niceCtxs Nothing state al givenCtx
                    ++ niceNT Nothing state al givenNT))

bindFun dictArgs defaultDecls (Fun args gdexps (DeclsScc decls)) =
  Fun (dictArgs++args) gdexps (DeclsScc (defaultDecls ++ decls))




--------------------- Nice


typeDecl :: Decl Id -> TypeMonad (Decl Id)
typeDecl d@(DeclPrimitive pos fun arity typ) =
  unitS d
typeDecl d@(DeclForeignImp pos conv str fun arity cast typ _) =
  unitS d
typeDecl d@(DeclForeignExp pos conv str fun typ) =
  unitS d
typeDecl (DeclPat (Alt pat rhs decls)) =
  typePat pat        >>>= \(pat,patT,eTVar) ->
  typeDeclScc decls    >>>= \decls ->
  typeRhs rhs >>>= \(rhs,rhsT) ->
  typeUnify (msgPat pat) patT rhsT >>>= \_ ->
--  checkExist [] eTVar >>>
  unitS (DeclPat (Alt pat rhs decls))
typeDecl (DeclFun pos fun funs) =
  typeIdentDef id pos fun >>>= \ (_,funT) ->
  typeNewTVar >>>= \retT ->
  getIdent (t_Arrow,TCon) >>>= \arrow ->
  mapS (typeFun fun arrow funT retT) funs >>>= \funs ->
  {-
  typeIdentDef id pos fun >>>= \ (_,funT) ->
  (\down up@(TypeState state _ _ _) ->
     trace ('\n':'\n': niceInt Nothing state fun
            ('\n': niceNT Nothing state (map (\x-> (x,'a':show x)) [1..]) funT))
     (True,up)) >>>= \True ->
  -}
  unitS (DeclFun pos fun funs)


typeFun :: Id -> Id -> NT -> NT -> Fun Id
        -> TypeMonad (Fun Id)

typeFun fun arrow funT retT (Fun args13 rhs decls) =
  mapS fixPat13 args13   >>>= \ args ->
  envPats args       >>>= \ argsE ->
  getEnv             >>>= \ oldEnv ->
  extendEnv argsE    >=>
  mapS typePat args  >>>= \args ->
  case unzip3 args of
    (args,argsT,eTVar) ->
       typeUnify (msgFun rhs) funT (funType arrow (argsT++[retT])) >>>= \_ ->
       {-
       (\down up@(TypeState state _ _ _) ->
         trace ("\n\ntypeFun: " ++ show (length argsT) ++ "  " ++
                niceInt Nothing state fun
               ('\n': niceNT Nothing state
                        (map (\x -> (x, 'a':show x)) [1..]) funT))
               (True,up)) >>>= \True ->
       -}
       typeDeclScc decls    >>>= \decls ->
       typeRhs rhs >>>= \(rhs,rhsT) ->
       typeUnify (msgFun rhs) retT rhsT >>>= \_ ->
       checkExist oldEnv (concat eTVar) >>>
       unitS (Fun args rhs decls) -- ,funType arrow (argsT++[gdexpsT])))



typeLit :: Exp Id -> TypeMonad (Exp Id, NT)
typeLit e@(ExpLit pos (LitInteger _ _)) =    --- Add fromInteger
      getIdent (tInteger,TCon) >>>= \ tcon ->
      getIdent (tfromInteger,Var) >>>= \ tfromInteger ->
      typeIdentDict (ExpVar pos) pos tfromInteger >>>= \ (exp,expT) ->
      typeUnifyApply (msgLit pos "integer") [expT,mkNTcons tcon []] >>>= \ t ->
      unitS (ExpApplication pos [exp,e],t)
typeLit e@(ExpLit pos (LitRational _ _)) =      --- Add fromRational
      getIdent (tRational,TCon) >>>= \ tcon ->
      getIdent (tfromRational,Var) >>>= \ tfromRational ->
      typeIdentDict (ExpVar pos) pos tfromRational >>>= \ (exp,expT) ->
      typeUnifyApply (msgLit pos "rational") [expT,mkNTcons tcon []] >>>= \ t ->
      unitS (ExpApplication pos [exp,e],t)
typeLit e@(ExpLit pos (LitString _ _)) = getIdent (tString,TCon) >>>= \tcon ->
                                         unitS (e,mkNTcons tcon [])
typeLit e@(ExpLit pos (LitInt _ _))    = getIdent (tInt,TCon)    >>>= \tcon ->
                                         unitS (e,mkNTcons tcon [])
typeLit e@(ExpLit pos (LitFloat _ _))  = getIdent (tFloat,TCon)  >>>= \tcon ->
                                         unitS (e,mkNTcons tcon [])
typeLit e@(ExpLit pos (LitDouble _ _)) = getIdent (tDouble,TCon) >>>= \tcon ->
                                         unitS (e,mkNTcons tcon [])
typeLit e@(ExpLit pos (LitChar _ _))   = getIdent (tChar,TCon)   >>>= \tcon ->
                                         unitS (e,mkNTcons tcon [])

typeUnifyBool :: Exp id -> NT -> TypeMonad NT
typeUnifyBool g t =
  getIdent (tBool,TCon) >>>= \ tcon ->
  typeUnify (msgBool g) (mkNTcons tcon []) t
{-
typeGdExp :: (Exp Id, Exp Id) -> TypeMonad ((Exp Id, Exp Id), NT)
typeGdExp (g,e) =
  typeExp g >>>= \(g,gT) ->
  typeUnifyBool g gT >>>= \_ ->
  typeExp e >>>= \(e,eT) ->
  unitS ((g,e),eT)
-}
typePatGdExp (qs,e) =
  mapS typeQual qs >>>= \ qs ->
  typeExp e >>>= \ (e,eT) ->
  unitS ((qs,e),eT)

typeRhs :: Rhs Id -> TypeMonad (Rhs Id, NT)
typeRhs (Unguarded e) = typeExp e >>>= \(e,eT) -> unitS (Unguarded e,eT)
typeRhs (PatGuard gdexps) =
  mapS typePatGdExp gdexps >>>= \ gdexps ->
  case unzip gdexps of
   (gdexps,gdexpsT) -> 
     typeUnifyMany (msgPatGdExps gdexps) gdexpsT >>>= \ t ->
     unitS (PatGuard gdexps,t)

typeQual (QualExp e) = 
  typeExp e >>>= \ (e,eT) ->
  typeUnifyBool e eT >>>= \ _ ->
  unitS (QualExp e)
typeQual (QualPatExp p e) =
  typeExp e >>>= \ (e,eT) ->
  typePat p >>>= \ (p,pT,eTVar) ->	-- MW: maybe look at typeAlt for clues
  typeUnify (msgPatGd p e) pT eT >>>= \ _ ->
  unitS (QualPatExp p e)
typeQual (QualLet ds) =
  typeDeclScc ds >>>= \ ds ->
  unitS (QualLet ds)

typeAlt :: Alt Id -> TypeMonad (Alt Id, (NT, NT))
typeAlt (Alt pat13 rhs decls) =
  fixPat13 pat13            >>>= \pat ->
  envPat pat                >>>= \patE ->
  getEnv             >>>= \ oldEnv ->
  extendEnv patE            >=>
  typePat pat               >>>= \ (pat,patT,eTVar) ->
  typeDeclScc decls           >>>= \decls ->
  typeRhs rhs >>>= \(rhs,rhsT) ->
  checkExist oldEnv eTVar >>>
  unitS (Alt pat rhs decls,(patT,rhsT))


typeExp :: Exp Id -> TypeDown -> TypeState -> ((Exp Id,NT),TypeState)

typeExp (ExpRecord exp fields) = removeExpRecord exp fields >>>= typeExp
typeExp (ExpDo pos stmts) = removeDo stmts >>>= typeExp
typeExp (ExpCase pos exp alts) =
  typeExp exp >>>= \(exp,expT) ->
  mapS typeAlt alts >>>= \alts ->
  case unzip alts of
    (alts,altsT) ->
      case unzip altsT of
        (altsTP,altsTE) ->
          typeUnifyMany (msgAltPats alts) altsTP >>>= \ patT ->
          typeUnify     (msgCase exp)  expT patT >>>= \ _ ->
          typeUnifyMany (msgAltExps alts) altsTE >>>= \ t ->
          unitS (ExpCase pos exp alts,t)

typeExp (ExpIf pos cond exp1 exp2)   =
  typeExp cond           >>>= \ (cond,condT) ->
  typeUnifyBool cond condT    >>>= \_ ->
  typeExp exp1           >>>= \ (exp1,exp1T) ->
  typeExp exp2           >>>= \ (exp2,exp2T) ->
  typeUnify (msgIf exp1 exp2) exp1T exp2T  >>>= \ t ->
  unitS (ExpIf pos cond exp1 exp2,t)

typeExp (ExpApplication pos es)   =
  mapS typeExp es >>>= \es' ->
  case unzip es' of
    (es'',esT) ->
      typeUnifyApply (msgApply es'') esT >>>= \ t ->
      unitS (ExpApplication pos es'',t)

typeExp e@(ExpVar pos ident)        =
  typeIdentDict (ExpVar pos) pos ident >>>= \ (e',nt) ->
  -- typeRep stuff
  getState >>>= \ st ->
  let def = unitS (e',nt) in
  case lookupIS st ident of
     Just info ->
        if (tidI info) == ttypeRep then
          unitS (ExpTypeRep pos nt, nt)
         else
          def
     Nothing  -> def

typeExp (ExpCon pos ident)        =
  typeExpCon pos ident

typeExp e@(ExpLit pos lit)        =
  typeLit e

typeExp (ExpList  pos es)         =
  mapS typeExp es            >>>= \es ->
  case unzip es of
   (es,esT) ->
     typeUnifyMany (msgList es) esT >>>= \t ->
     getIdent (t_List,TCon)     >>>= \tcon ->
     unitS (ExpList pos es,mkNTcons tcon [t])

typeExp (ExpLambda pos pats13 exp)  =
--  phiMark >>>= \ mark ->
  mapS fixPat13 pats13 >>>= \ pats ->
  envPats pats   >>>= \ patsE ->
  getEnv             >>>= \ oldEnv ->
  extendEnv patsE >=>
  mapS typePat pats   >>>= \ pats ->
  typeExp exp    >>>= \ (exp,expT) ->
  getIdent (t_Arrow,TCon) >>>= \arrow ->
  case unzip3 pats of
     (pats,patsT,eTVar) -> -- phiPrune2 "Lambda" patsE (funType arrow (patsT++[expT])) >>>= \ t ->
                     checkExist oldEnv (concat eTVar) >>>
                     unitS (ExpLambda pos pats exp,funType arrow (patsT++[expT]))

typeExp (ExpLet pos decls exp)    =
  typeDeclScc decls >>>= \decls ->
  typeExp exp     >>>= \(exp,expT) ->
  unitS (ExpLet pos decls exp,expT)

typeExp (ExpType pos exp ctxs t) = -- Ignoring ctx and doesn't check if the
                                   -- free variables really are free !!!
  (if not (null ctxs)
  then strace ("Context at " ++ strPos (getPos ctxs)
              ++ " in type-annotated expression is ignored :-(\n")
  else id) $
  typeExp exp >>>= \ (exp,expT) ->
  let nt = type2NT t
      free = snub (freeNT nt)
  in
    mapS (\ _ -> typeNewTVar) free >>>= \ free' ->
    let phi = list2Subst (zip free (map (\(NTany a) -> mkNTvar a) free'))
    in typeUnify (msgExpType pos) (subst phi nt) expT >>>= \ expT ->

       case exp of
          ExpTypeRep pos _ -> unitS (ExpTypeRep pos expT, expT)
          _                -> unitS (exp,expT)

typeExp (PatWildcard pos) =
  typeNewTVar >>>= \tvar ->
  unitS (PatWildcard pos,tvar)

typeExp e =
  getTypeErrors >>>= \errs->
  error ("when typing expression at " ++ strPos (getPos e) ++ "\n"++
         unlines errs)  --  ++ "\n" ++ ppExp False dummyIntState e 0)


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

typePat :: Pat Id -> TypeMonad (Pat Id, NT, [Id])

typePat (ExpApplication pos es)   =
  mapS typePat es >>>= \es ->
  case unzip3 es of
    (es,esT,eTVar) ->
      typeUnifyApply (msgApply es) esT >>>= \ t ->
      unitS (ExpApplication pos es,t,concat eTVar)

typePat e@(ExpVar pos ident)        =
  typeIdentDict (ExpVar pos) pos ident >>>= \ (e,t) ->
  unitS (e,t,[])

typePat (ExpCon pos ident)        =
  typePatCon pos ident

typePat e@(ExpLit pos lit)        =
  typeLit e >>>= \ (e,t) ->
  unitS (e,t,[])

typePat (ExpList  pos es)         =
  mapS typePat es            >>>= \es ->
  case unzip3 es of
   (es,esT,eTVar) ->
     typeUnifyMany (msgList es) esT >>>= \t ->
     getIdent (t_List,TCon)     >>>= \tcon ->
     unitS (ExpList pos es,mkNTcons tcon [t],concat eTVar)

typePat (ExpType pos exp ctxs t) = -- Ignoring ctx and doesn't check if the
                                   -- free variables really are free !!!
  (if not (null ctxs)
  then strace ("Context at " ++ strPos (getPos ctxs)
              ++ " in type-annotated pattern is ignored :-(\n")
  else id) $
  typePat exp >>>= \ (exp,expT,eTVar) ->
  let nt = type2NT t
      free = snub (freeNT nt)
  in
    mapS (\ _ -> typeNewTVar) free >>>= \ free' ->
    let phi = list2Subst (zip free (map (\(NTany a) -> mkNTvar a) free'))
    in typeUnify (msgExpType pos) (subst phi nt) expT >>>= \ expT ->
       unitS (exp,expT,eTVar)

typePat (PatAs             pos ident pat) =
  typeIdentDef (PatAs pos) pos ident >>>= \ (patas,identT) ->
  typePat pat     >>>= \ (pat,patT,eTVar) ->
  typeUnify (msgAs pos) identT patT >>>= \ t ->
  unitS (patas pat,t,eTVar)

typePat e@(PatWildcard       pos) =
  typeNewTVar >>>= \tvar ->
  unitS (e,tvar,[])
typePat (PatIrrefutable    pos pat) =
  typePat pat >>>= \ (pat,patT,eTVar) ->
  unitS (PatIrrefutable pos pat,patT,eTVar)

typePat (PatNplusK         pos n n' k le sub) =
  typeIdentDict (ExpVar pos) pos n  >>>= \ (ExpVar _ n, typN) ->
  typeIdentDict (ExpVar pos) pos n' >>>= \ (ExpVar _ n', typN') ->
  typeExp k                         >>>= \ (k,typK) ->
  typeExp le                        >>>= \ (le,typLE) ->
  typeUnifyBool le typLE            >>>= \ _ ->
  typeExp sub                       >>>= \ (sub,typSUB) ->
  typeUnify (msgNK pos) typK typN   >>>= \ t ->
  typeUnify (msgNK pos) typN' typN  >>>= \ t ->
  typeUnify (msgNK pos) typSUB typN >>>= \ t ->
  unitS (PatNplusK pos n n' k le sub,t,[])

typePat e                         = error ("typePat " ++ strPos (getPos e))


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

-- fixPat13 change 1.3 patterns into 1.2 patterns
-- that is, it removes record patterns.
-- No InfixList at this point!

fixDecl13 :: Decl Id -> TypeMonad (Decl Id)
fixDecl13 (DeclPat (Alt pat gdexps decls)) =
    fixPat13 pat >>>= \ pat -> unitS (DeclPat (Alt pat gdexps decls))
fixDecl13 decl = unitS decl

fixPat13 :: Exp Id -> TypeMonad (Exp Id)
fixPat13 (ExpRecord      exp fields)  =
  removeExpRecord exp fields >>>= fixPat13
fixPat13 (ExpApplication pos pats)    =
  unitS (ExpApplication pos) =>>> mapS fixPat13 pats
fixPat13 (ExpList        pos pats)    =
  unitS (ExpList pos)        =>>> mapS fixPat13 pats
fixPat13 (PatAs          pos tid pat) =
  unitS (PatAs pos tid)      =>>> fixPat13 pat
fixPat13 (PatIrrefutable pos pat)     =
  unitS (PatIrrefutable pos) =>>> fixPat13 pat
fixPat13 pat  = unitS pat



removeExpRecord :: Exp Id -> [Field Id] -> TypeMonad (Exp Id)
removeExpRecord exp fields =
  getState >>>= \state ->
  case translateExpRecord exp fields state of
    (Right transExp,state') -> setState state' >>> unitS transExp
    (Left error,state') -> setState state' >>> typeError error

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