X-Git-Url: http://git.megacz.com/?p=ghc-hetmet.git;a=blobdiff_plain;f=ghc%2Fcompiler%2Ftypecheck%2FTcMType.lhs;h=df1f06972f9ca9eb3d4b515c37467979d4f85b80;hp=7c75d9189586ccbe9cf076da756866c3070e0da7;hb=1cdafe99abae1628f34ca8c064e3a8c0fcdbd079;hpb=9db2b548fd3e5fdc3c9e344cdb58b172f0e0d398 diff --git a/ghc/compiler/typecheck/TcMType.lhs b/ghc/compiler/typecheck/TcMType.lhs index 7c75d91..df1f069 100644 --- a/ghc/compiler/typecheck/TcMType.lhs +++ b/ghc/compiler/typecheck/TcMType.lhs @@ -11,31 +11,40 @@ module TcMType ( -------------------------------- -- Creating new mutable type variables - newTyVar, newSigTyVar, - newTyVarTy, -- Kind -> TcM TcType - newTyVarTys, -- Int -> Kind -> TcM [TcType] - newKindVar, newKindVars, newBoxityVar, - putTcTyVar, getTcTyVar, - newMutTyVar, readMutTyVar, writeMutTyVar, + newFlexiTyVar, + newFlexiTyVarTy, -- Kind -> TcM TcType + newFlexiTyVarTys, -- Int -> Kind -> TcM [TcType] + newKindVar, newKindVars, + lookupTcTyVar, LookupTyVarResult(..), + newMetaTyVar, readMetaTyVar, writeMetaTyVar, + + -------------------------------- + -- Boxy type variables + newBoxyTyVar, newBoxyTyVars, newBoxyTyVarTys, readFilledBox, -------------------------------- -- Instantiation - tcInstTyVar, tcInstTyVars, tcInstType, + tcInstTyVar, tcInstType, tcInstTyVars, tcInstBoxy, tcInstBoxyTyVar, + tcInstSigTyVars, zonkSigTyVar, + tcInstSkolTyVar, tcInstSkolTyVars, tcInstSkolType, + tcSkolSigType, tcSkolSigTyVars, -------------------------------- -- Checking type validity - Rank, UserTypeCtxt(..), checkValidType, pprUserTypeCtxt, + Rank, UserTypeCtxt(..), checkValidType, SourceTyCtxt(..), checkValidTheta, checkFreeness, checkValidInstHead, instTypeErr, checkAmbiguity, + checkInstTermination, arityErr, -------------------------------- -- Zonking - zonkType, - zonkTcTyVar, zonkTcTyVars, zonkTcTyVarsAndFV, + zonkType, zonkTcPredType, + zonkTcTyVar, zonkTcTyVars, zonkTcTyVarsAndFV, zonkQuantifiedTyVar, zonkTcType, zonkTcTypes, zonkTcClassConstraints, zonkTcThetaType, - zonkTcPredType, zonkTcTyVarToTyVar, - zonkTcKindToKind + zonkTcKindToKind, zonkTcKind, + + readKindVar, writeKindVar ) where @@ -43,184 +52,294 @@ module TcMType ( -- friends: -import TypeRep ( Type(..), PredType(..), TyNote(..), -- Friend; can see representation - Kind, ThetaType +import TypeRep ( Type(..), PredType(..), -- Friend; can see representation + ThetaType ) import TcType ( TcType, TcThetaType, TcTauType, TcPredType, - TcTyVarSet, TcKind, TcTyVar, TyVarDetails(..), - tcEqType, tcCmpPred, isClassPred, + TcTyVarSet, TcKind, TcTyVar, TcTyVarDetails(..), + MetaDetails(..), SkolemInfo(..), BoxInfo(..), + BoxyTyVar, BoxyType, BoxyThetaType, BoxySigmaType, + UserTypeCtxt(..), + isMetaTyVar, isSigTyVar, metaTvRef, + tcCmpPred, isClassPred, tcGetTyVar, tcSplitPhiTy, tcSplitPredTy_maybe, tcSplitAppTy_maybe, - tcSplitTyConApp_maybe, tcSplitForAllTys, - tcIsTyVarTy, tcSplitSigmaTy, tcIsTyVarTy, + tcValidInstHeadTy, tcSplitForAllTys, + tcIsTyVarTy, tcSplitSigmaTy, isUnLiftedType, isIPPred, - + typeKind, isSkolemTyVar, mkAppTy, mkTyVarTy, mkTyVarTys, tyVarsOfPred, getClassPredTys_maybe, - - liftedTypeKind, defaultKind, superKind, - superBoxity, liftedBoxity, typeKind, - tyVarsOfType, tyVarsOfTypes, - eqKind, isTypeKind, + tyVarsOfType, tyVarsOfTypes, tcView, + pprPred, pprTheta, pprClassPred ) +import Kind ( Kind(..), KindVar, kindVarRef, mkKindVar, + isLiftedTypeKind, isArgTypeKind, isOpenTypeKind, + liftedTypeKind, defaultKind ) -import Subst ( Subst, mkTopTyVarSubst, substTy ) +import Type ( TvSubst, zipTopTvSubst, substTy ) import Class ( Class, classArity, className ) import TyCon ( TyCon, isSynTyCon, isUnboxedTupleTyCon, tyConArity, tyConName ) -import Var ( TyVar, tyVarKind, tyVarName, isTyVar, - mkTyVar, mkMutTyVar, isMutTyVar, mutTyVarRef ) +import Var ( TyVar, tyVarKind, tyVarName, isTcTyVar, + mkTyVar, mkTcTyVar, tcTyVarDetails ) + + -- Assertions +#ifdef DEBUG +import TcType ( isFlexi, isBoxyTyVar, isImmutableTyVar ) +import Kind ( isSubKind ) +#endif -- others: import TcRnMonad -- TcType, amongst others import FunDeps ( grow ) -import PprType ( pprPred, pprTheta, pprClassPred ) -import Name ( Name, setNameUnique, mkSystemTvNameEncoded ) +import Name ( Name, setNameUnique, mkSysTvName ) import VarSet -import CmdLineOpts ( dopt, DynFlag(..) ) -import Util ( nOfThem, isSingleton, equalLength, notNull ) +import DynFlags ( dopt, DynFlag(..) ) +import Util ( nOfThem, isSingleton, notNull ) import ListSetOps ( removeDups ) import Outputable + +import Data.List ( (\\) ) \end{code} %************************************************************************ %* * -\subsection{New type variables} + Instantiation in general %* * %************************************************************************ \begin{code} -newMutTyVar :: Name -> Kind -> TyVarDetails -> TcM TyVar -newMutTyVar name kind details - = do { ref <- newMutVar Nothing ; - return (mkMutTyVar name kind details ref) } - -readMutTyVar :: TyVar -> TcM (Maybe Type) -readMutTyVar tyvar = readMutVar (mutTyVarRef tyvar) - -writeMutTyVar :: TyVar -> Maybe Type -> TcM () -writeMutTyVar tyvar val = writeMutVar (mutTyVarRef tyvar) val - -newTyVar :: Kind -> TcM TcTyVar -newTyVar kind - = newUnique `thenM` \ uniq -> - newMutTyVar (mkSystemTvNameEncoded uniq FSLIT("t")) kind VanillaTv - -newSigTyVar :: Kind -> TcM TcTyVar -newSigTyVar kind - = newUnique `thenM` \ uniq -> - newMutTyVar (mkSystemTvNameEncoded uniq FSLIT("s")) kind SigTv - -newTyVarTy :: Kind -> TcM TcType -newTyVarTy kind - = newTyVar kind `thenM` \ tc_tyvar -> - returnM (TyVarTy tc_tyvar) +tcInstType :: ([TyVar] -> TcM [TcTyVar]) -- How to instantiate the type variables + -> TcType -- Type to instantiate + -> TcM ([TcTyVar], TcThetaType, TcType) -- Result +tcInstType inst_tyvars ty + = case tcSplitForAllTys ty of + ([], rho) -> let -- There may be overloading despite no type variables; + -- (?x :: Int) => Int -> Int + (theta, tau) = tcSplitPhiTy rho + in + return ([], theta, tau) + + (tyvars, rho) -> do { tyvars' <- inst_tyvars tyvars + + ; let tenv = zipTopTvSubst tyvars (mkTyVarTys tyvars') + -- Either the tyvars are freshly made, by inst_tyvars, + -- or (in the call from tcSkolSigType) any nested foralls + -- have different binders. Either way, zipTopTvSubst is ok + + ; let (theta, tau) = tcSplitPhiTy (substTy tenv rho) + ; return (tyvars', theta, tau) } +\end{code} -newTyVarTys :: Int -> Kind -> TcM [TcType] -newTyVarTys n kind = mappM newTyVarTy (nOfThem n kind) +%************************************************************************ +%* * + Kind variables +%* * +%************************************************************************ + +\begin{code} newKindVar :: TcM TcKind -newKindVar - = newUnique `thenM` \ uniq -> - newMutTyVar (mkSystemTvNameEncoded uniq FSLIT("k")) superKind VanillaTv `thenM` \ kv -> - returnM (TyVarTy kv) +newKindVar = do { uniq <- newUnique + ; ref <- newMutVar Nothing + ; return (KindVar (mkKindVar uniq ref)) } newKindVars :: Int -> TcM [TcKind] newKindVars n = mappM (\ _ -> newKindVar) (nOfThem n ()) +\end{code} + + +%************************************************************************ +%* * + SkolemTvs (immutable) +%* * +%************************************************************************ -newBoxityVar :: TcM TcKind -- Really TcBoxity - = newUnique `thenM` \ uniq -> - newMutTyVar (mkSystemTvNameEncoded uniq FSLIT("bx")) - superBoxity VanillaTv `thenM` \ kv -> - returnM (TyVarTy kv) +\begin{code} +mkSkolTyVar :: Name -> Kind -> SkolemInfo -> TcTyVar +mkSkolTyVar name kind info = mkTcTyVar name kind (SkolemTv info) + +tcSkolSigType :: SkolemInfo -> Type -> TcM ([TcTyVar], TcThetaType, TcType) +-- Instantiate a type signature with skolem constants, but +-- do *not* give them fresh names, because we want the name to +-- be in the type environment -- it is lexically scoped. +tcSkolSigType info ty = tcInstType (\tvs -> return (tcSkolSigTyVars info tvs)) ty + +tcSkolSigTyVars :: SkolemInfo -> [TyVar] -> [TcTyVar] +-- Make skolem constants, but do *not* give them new names, as above +tcSkolSigTyVars info tyvars = [ mkSkolTyVar (tyVarName tv) (tyVarKind tv) info + | tv <- tyvars ] + +tcInstSkolType :: SkolemInfo -> TcType -> TcM ([TcTyVar], TcThetaType, TcType) +-- Instantiate a type with fresh skolem constants +tcInstSkolType info ty = tcInstType (tcInstSkolTyVars info) ty + +tcInstSkolTyVar :: SkolemInfo -> TyVar -> TcM TcTyVar +tcInstSkolTyVar info tyvar + = do { uniq <- newUnique + ; let name = setNameUnique (tyVarName tyvar) uniq + kind = tyVarKind tyvar + ; return (mkSkolTyVar name kind info) } + +tcInstSkolTyVars :: SkolemInfo -> [TyVar] -> TcM [TcTyVar] +tcInstSkolTyVars info tyvars = mapM (tcInstSkolTyVar info) tyvars \end{code} %************************************************************************ %* * -\subsection{Type instantiation} + MetaTvs (meta type variables; mutable) %* * %************************************************************************ -Instantiating a bunch of type variables +\begin{code} +newMetaTyVar :: BoxInfo -> Kind -> TcM TcTyVar +-- Make a new meta tyvar out of thin air +newMetaTyVar box_info kind + = do { uniq <- newUnique + ; ref <- newMutVar Flexi ; + ; let name = mkSysTvName uniq fs + fs = case box_info of + BoxTv -> FSLIT("bx") + TauTv -> FSLIT("t") + SigTv _ -> FSLIT("a") + ; return (mkTcTyVar name kind (MetaTv box_info ref)) } + +instMetaTyVar :: BoxInfo -> TyVar -> TcM TcTyVar +-- Make a new meta tyvar whose Name and Kind +-- come from an existing TyVar +instMetaTyVar box_info tyvar + = do { uniq <- newUnique + ; ref <- newMutVar Flexi ; + ; let name = setNameUnique (tyVarName tyvar) uniq + kind = tyVarKind tyvar + ; return (mkTcTyVar name kind (MetaTv box_info ref)) } + +readMetaTyVar :: TyVar -> TcM MetaDetails +readMetaTyVar tyvar = ASSERT2( isMetaTyVar tyvar, ppr tyvar ) + readMutVar (metaTvRef tyvar) + +writeMetaTyVar :: TcTyVar -> TcType -> TcM () +#ifndef DEBUG +writeMetaTyVar tyvar ty = writeMutVar (metaTvRef tyvar) (Indirect ty) +#else +writeMetaTyVar tyvar ty + | not (isMetaTyVar tyvar) + = pprTrace "writeMetaTyVar" (ppr tyvar) $ + returnM () + + | otherwise + = ASSERT( isMetaTyVar tyvar ) + ASSERT2( k2 `isSubKind` k1, (ppr tyvar <+> ppr k1) $$ (ppr ty <+> ppr k2) ) + do { ASSERTM2( do { details <- readMetaTyVar tyvar; return (isFlexi details) }, ppr tyvar ) + ; writeMutVar (metaTvRef tyvar) (Indirect ty) } + where + k1 = tyVarKind tyvar + k2 = typeKind ty +#endif +\end{code} + + +%************************************************************************ +%* * + MetaTvs: TauTvs +%* * +%************************************************************************ \begin{code} -tcInstTyVars :: TyVarDetails -> [TyVar] - -> TcM ([TcTyVar], [TcType], Subst) +newFlexiTyVar :: Kind -> TcM TcTyVar +newFlexiTyVar kind = newMetaTyVar TauTv kind -tcInstTyVars tv_details tyvars - = mappM (tcInstTyVar tv_details) tyvars `thenM` \ tc_tyvars -> - let - tys = mkTyVarTys tc_tyvars - in - returnM (tc_tyvars, tys, mkTopTyVarSubst tyvars tys) - -- Since the tyvars are freshly made, - -- they cannot possibly be captured by - -- any existing for-alls. Hence mkTopTyVarSubst - -tcInstTyVar tv_details tyvar - = newUnique `thenM` \ uniq -> - let - name = setNameUnique (tyVarName tyvar) uniq - -- Note that we don't change the print-name - -- This won't confuse the type checker but there's a chance - -- that two different tyvars will print the same way - -- in an error message. -dppr-debug will show up the difference - -- Better watch out for this. If worst comes to worst, just - -- use mkSystemName. - in - newMutTyVar name (tyVarKind tyvar) tv_details +newFlexiTyVarTy :: Kind -> TcM TcType +newFlexiTyVarTy kind + = newFlexiTyVar kind `thenM` \ tc_tyvar -> + returnM (TyVarTy tc_tyvar) -tcInstType :: TyVarDetails -> TcType -> TcM ([TcTyVar], TcThetaType, TcType) --- tcInstType instantiates the outer-level for-alls of a TcType with --- fresh (mutable) type variables, splits off the dictionary part, --- and returns the pieces. -tcInstType tv_details ty - = case tcSplitForAllTys ty of - ([], rho) -> -- There may be overloading despite no type variables; - -- (?x :: Int) => Int -> Int - let - (theta, tau) = tcSplitPhiTy rho - in - returnM ([], theta, tau) +newFlexiTyVarTys :: Int -> Kind -> TcM [TcType] +newFlexiTyVarTys n kind = mappM newFlexiTyVarTy (nOfThem n kind) - (tyvars, rho) -> tcInstTyVars tv_details tyvars `thenM` \ (tyvars', _, tenv) -> - let - (theta, tau) = tcSplitPhiTy (substTy tenv rho) - in - returnM (tyvars', theta, tau) +tcInstTyVar :: TyVar -> TcM TcTyVar +-- Instantiate with a META type variable +tcInstTyVar tyvar = instMetaTyVar TauTv tyvar + +tcInstTyVars :: [TyVar] -> TcM ([TcTyVar], [TcType], TvSubst) +-- Instantiate with META type variables +tcInstTyVars tyvars + = do { tc_tvs <- mapM tcInstTyVar tyvars + ; let tys = mkTyVarTys tc_tvs + ; returnM (tc_tvs, tys, zipTopTvSubst tyvars tys) } + -- Since the tyvars are freshly made, + -- they cannot possibly be captured by + -- any existing for-alls. Hence zipTopTvSubst \end{code} %************************************************************************ %* * -\subsection{Putting and getting mutable type variables} + MetaTvs: SigTvs %* * %************************************************************************ \begin{code} -putTcTyVar :: TcTyVar -> TcType -> TcM TcType -getTcTyVar :: TcTyVar -> TcM (Maybe TcType) +tcInstSigTyVars :: SkolemInfo -> [TyVar] -> TcM [TcTyVar] +-- Instantiate with meta SigTvs +tcInstSigTyVars skol_info tyvars + = mapM (instMetaTyVar (SigTv skol_info)) tyvars + +zonkSigTyVar :: TcTyVar -> TcM TcTyVar +zonkSigTyVar sig_tv + | isSkolemTyVar sig_tv + = return sig_tv -- Happens in the call in TcBinds.checkDistinctTyVars + | otherwise + = ASSERT( isSigTyVar sig_tv ) + do { ty <- zonkTcTyVar sig_tv + ; return (tcGetTyVar "zonkSigTyVar" ty) } + -- 'ty' is bound to be a type variable, because SigTvs + -- can only be unified with type variables \end{code} -Putting is easy: + +%************************************************************************ +%* * + MetaTvs: BoxTvs +%* * +%************************************************************************ \begin{code} -putTcTyVar tyvar ty - | not (isMutTyVar tyvar) - = pprTrace "putTcTyVar" (ppr tyvar) $ - returnM ty +newBoxyTyVar :: Kind -> TcM BoxyTyVar +newBoxyTyVar kind = newMetaTyVar BoxTv kind - | otherwise - = ASSERT( isMutTyVar tyvar ) - writeMutTyVar tyvar (Just ty) `thenM_` - returnM ty +newBoxyTyVars :: [Kind] -> TcM [BoxyTyVar] +newBoxyTyVars kinds = mapM newBoxyTyVar kinds + +newBoxyTyVarTys :: [Kind] -> TcM [BoxyType] +newBoxyTyVarTys kinds = do { tvs <- mapM newBoxyTyVar kinds; return (mkTyVarTys tvs) } + +readFilledBox :: BoxyTyVar -> TcM TcType +-- Read the contents of the box, which should be filled in by now +readFilledBox box_tv = ASSERT( isBoxyTyVar box_tv ) + do { cts <- readMetaTyVar box_tv + ; case cts of + Flexi -> pprPanic "readFilledBox" (ppr box_tv) + Indirect ty -> return ty } + +tcInstBoxyTyVar :: TyVar -> TcM BoxyTyVar +-- Instantiate with a BOXY type variable +tcInstBoxyTyVar tyvar = instMetaTyVar BoxTv tyvar + +tcInstBoxy :: TcType -> TcM ([BoxyTyVar], BoxyThetaType, BoxySigmaType) +-- tcInstType instantiates the outer-level for-alls of a TcType with +-- fresh BOXY type variables, splits off the dictionary part, +-- and returns the pieces. +tcInstBoxy ty = tcInstType (mapM tcInstBoxyTyVar) ty \end{code} -Getting is more interesting. The easy thing to do is just to read, thus: -\begin{verbatim} -getTcTyVar tyvar = readMutTyVar tyvar -\end{verbatim} +%************************************************************************ +%* * +\subsection{Putting and getting mutable type variables} +%* * +%************************************************************************ But it's more fun to short out indirections on the way: If this version returns a TyVar, then that TyVar is unbound. If it returns @@ -229,36 +348,54 @@ any other type, then there might be bound TyVars embedded inside it. We return Nothing iff the original box was unbound. \begin{code} +data LookupTyVarResult -- The result of a lookupTcTyVar call + = DoneTv TcTyVarDetails -- SkolemTv or virgin MetaTv + | IndirectTv TcType + +lookupTcTyVar :: TcTyVar -> TcM LookupTyVarResult +lookupTcTyVar tyvar + = case details of + SkolemTv _ -> return (DoneTv details) + MetaTv _ ref -> do { meta_details <- readMutVar ref + ; case meta_details of + Indirect ty -> return (IndirectTv ty) + Flexi -> return (DoneTv details) } + where + details = tcTyVarDetails tyvar + +{- +-- gaw 2004 We aren't shorting anything out anymore, at least for now getTcTyVar tyvar - | not (isMutTyVar tyvar) + | not (isTcTyVar tyvar) = pprTrace "getTcTyVar" (ppr tyvar) $ returnM (Just (mkTyVarTy tyvar)) | otherwise - = ASSERT2( isMutTyVar tyvar, ppr tyvar ) - readMutTyVar tyvar `thenM` \ maybe_ty -> + = ASSERT2( isTcTyVar tyvar, ppr tyvar ) + readMetaTyVar tyvar `thenM` \ maybe_ty -> case maybe_ty of Just ty -> short_out ty `thenM` \ ty' -> - writeMutTyVar tyvar (Just ty') `thenM_` + writeMetaTyVar tyvar (Just ty') `thenM_` returnM (Just ty') Nothing -> returnM Nothing short_out :: TcType -> TcM TcType short_out ty@(TyVarTy tyvar) - | not (isMutTyVar tyvar) + | not (isTcTyVar tyvar) = returnM ty | otherwise - = readMutTyVar tyvar `thenM` \ maybe_ty -> + = readMetaTyVar tyvar `thenM` \ maybe_ty -> case maybe_ty of Just ty' -> short_out ty' `thenM` \ ty' -> - writeMutTyVar tyvar (Just ty') `thenM_` + writeMetaTyVar tyvar (Just ty') `thenM_` returnM ty' other -> returnM ty short_out other_ty = returnM other_ty +-} \end{code} @@ -279,7 +416,8 @@ zonkTcTyVarsAndFV tyvars = mappM zonkTcTyVar tyvars `thenM` \ tys -> returnM (tyVarsOfTypes tys) zonkTcTyVar :: TcTyVar -> TcM TcType -zonkTcTyVar tyvar = zonkTyVar (\ tv -> returnM (TyVarTy tv)) tyvar +zonkTcTyVar tyvar = ASSERT( isTcTyVar tyvar ) + zonk_tc_tyvar (\ tv -> returnM (TyVarTy tv)) tyvar \end{code} ----------------- Types @@ -312,48 +450,38 @@ zonkTcPredType (IParam n t) are used at the end of type checking \begin{code} -zonkTcKindToKind :: TcKind -> TcM Kind -zonkTcKindToKind tc_kind - = zonkType zonk_unbound_kind_var tc_kind - where - -- When zonking a kind, we want to - -- zonk a *kind* variable to (Type *) - -- zonk a *boxity* variable to * - zonk_unbound_kind_var kv - | tyVarKind kv `eqKind` superKind = putTcTyVar kv liftedTypeKind - | tyVarKind kv `eqKind` superBoxity = putTcTyVar kv liftedBoxity - | otherwise = pprPanic "zonkKindEnv" (ppr kv) - --- zonkTcTyVarToTyVar is applied to the *binding* occurrence --- of a type variable, at the *end* of type checking. It changes --- the *mutable* type variable into an *immutable* one. --- --- It does this by making an immutable version of tv and binds tv to it. --- Now any bound occurences of the original type variable will get --- zonked to the immutable version. - -zonkTcTyVarToTyVar :: TcTyVar -> TcM TyVar -zonkTcTyVarToTyVar tv - = let - -- Make an immutable version, defaulting - -- the kind to lifted if necessary - immut_tv = mkTyVar (tyVarName tv) (defaultKind (tyVarKind tv)) - immut_tv_ty = mkTyVarTy immut_tv - - zap tv = putTcTyVar tv immut_tv_ty - -- Bind the mutable version to the immutable one - in - -- If the type variable is mutable, then bind it to immut_tv_ty - -- so that all other occurrences of the tyvar will get zapped too - zonkTyVar zap tv `thenM` \ ty2 -> - - -- This warning shows up if the allegedly-unbound tyvar is - -- already bound to something. It can actually happen, and - -- in a harmless way (see [Silly Type Synonyms] below) so - -- it's only a warning - WARN( not (immut_tv_ty `tcEqType` ty2), ppr tv $$ ppr immut_tv $$ ppr ty2 ) - - returnM immut_tv +zonkQuantifiedTyVar :: TcTyVar -> TcM TyVar +-- zonkQuantifiedTyVar is applied to the a TcTyVar when quantifying over it. +-- It might be a meta TyVar, in which case we freeze it into an ordinary TyVar. +-- When we do this, we also default the kind -- see notes with Kind.defaultKind +-- The meta tyvar is updated to point to the new regular TyVar. Now any +-- bound occurences of the original type variable will get zonked to +-- the immutable version. +-- +-- We leave skolem TyVars alone; they are immutable. +zonkQuantifiedTyVar tv + | isSkolemTyVar tv = return tv + -- It might be a skolem type variable, + -- for example from a user type signature + + | otherwise -- It's a meta-type-variable + = do { details <- readMetaTyVar tv + + -- Create the new, frozen, regular type variable + ; let final_kind = defaultKind (tyVarKind tv) + final_tv = mkTyVar (tyVarName tv) final_kind + + -- Bind the meta tyvar to the new tyvar + ; case details of + Indirect ty -> WARN( True, ppr tv $$ ppr ty ) + return () + -- [Sept 04] I don't think this should happen + -- See note [Silly Type Synonym] + + Flexi -> writeMetaTyVar tv (mkTyVarTy final_tv) + + -- Return the new tyvar + ; return final_tv } \end{code} [Silly Type Synonyms] @@ -375,16 +503,21 @@ Consider this: where a is fresh. * Now abstract over the 'a', but float out the Num (C d a) constraint - because it does not 'really' mention a. (see Type.tyVarsOfType) + because it does not 'really' mention a. (see exactTyVarsOfType) The arg to foo becomes /\a -> \t -> t+t * So we get a dict binding for Num (C d a), which is zonked to give a = () + [Note Sept 04: now that we are zonking quantified type variables + on construction, the 'a' will be frozen as a regular tyvar on + quantification, so the floated dict will still have type (C d a). + Which renders this whole note moot; happily!] * Then the /\a abstraction has a zonked 'a' in it. -All very silly. I think its harmless to ignore the problem. +All very silly. I think its harmless to ignore the problem. We'll end up with +a /\a in the final result but all the occurrences of a will be zonked to () %************************************************************************ @@ -396,77 +529,105 @@ All very silly. I think its harmless to ignore the problem. %************************************************************************ \begin{code} --- zonkType is used for Kinds as well - -- For unbound, mutable tyvars, zonkType uses the function given to it -- For tyvars bound at a for-all, zonkType zonks them to an immutable -- type variable and zonks the kind too zonkType :: (TcTyVar -> TcM Type) -- What to do with unbound mutable type variables -- see zonkTcType, and zonkTcTypeToType - -> TcType + -> TcType -> TcM Type zonkType unbound_var_fn ty = go ty where - go (TyConApp tycon tys) = mappM go tys `thenM` \ tys' -> - returnM (TyConApp tycon tys') - - go (NewTcApp tycon tys) = mappM go tys `thenM` \ tys' -> - returnM (NewTcApp tycon tys') - - go (NoteTy (SynNote ty1) ty2) = go ty1 `thenM` \ ty1' -> - go ty2 `thenM` \ ty2' -> - returnM (NoteTy (SynNote ty1') ty2') - - go (NoteTy (FTVNote _) ty2) = go ty2 -- Discard free-tyvar annotations - - go (PredTy p) = go_pred p `thenM` \ p' -> - returnM (PredTy p') - - go (FunTy arg res) = go arg `thenM` \ arg' -> - go res `thenM` \ res' -> - returnM (FunTy arg' res') - - go (AppTy fun arg) = go fun `thenM` \ fun' -> - go arg `thenM` \ arg' -> - returnM (mkAppTy fun' arg') + go (NoteTy _ ty2) = go ty2 -- Discard free-tyvar annotations + + go (TyConApp tc tys) = mappM go tys `thenM` \ tys' -> + returnM (TyConApp tc tys') + + go (PredTy p) = go_pred p `thenM` \ p' -> + returnM (PredTy p') + + go (FunTy arg res) = go arg `thenM` \ arg' -> + go res `thenM` \ res' -> + returnM (FunTy arg' res') + + go (AppTy fun arg) = go fun `thenM` \ fun' -> + go arg `thenM` \ arg' -> + returnM (mkAppTy fun' arg') -- NB the mkAppTy; we might have instantiated a -- type variable to a type constructor, so we need -- to pull the TyConApp to the top. -- The two interesting cases! - go (TyVarTy tyvar) = zonkTyVar unbound_var_fn tyvar + go (TyVarTy tyvar) | isTcTyVar tyvar = zonk_tc_tyvar unbound_var_fn tyvar + | otherwise = return (TyVarTy tyvar) + -- Ordinary (non Tc) tyvars occur inside quantified types - go (ForAllTy tyvar ty) = zonkTcTyVarToTyVar tyvar `thenM` \ tyvar' -> - go ty `thenM` \ ty' -> - returnM (ForAllTy tyvar' ty') + go (ForAllTy tyvar ty) = ASSERT( isImmutableTyVar tyvar ) + go ty `thenM` \ ty' -> + returnM (ForAllTy tyvar ty') go_pred (ClassP c tys) = mappM go tys `thenM` \ tys' -> returnM (ClassP c tys') go_pred (IParam n ty) = go ty `thenM` \ ty' -> returnM (IParam n ty') -zonkTyVar :: (TcTyVar -> TcM Type) -- What to do for an unbound mutable variable - -> TcTyVar -> TcM TcType -zonkTyVar unbound_var_fn tyvar - | not (isMutTyVar tyvar) -- Not a mutable tyvar. This can happen when - -- zonking a forall type, when the bound type variable - -- needn't be mutable - = ASSERT( isTyVar tyvar ) -- Should not be any immutable kind vars - returnM (TyVarTy tyvar) - - | otherwise - = getTcTyVar tyvar `thenM` \ maybe_ty -> - case maybe_ty of - Nothing -> unbound_var_fn tyvar -- Mutable and unbound - Just other_ty -> zonkType unbound_var_fn other_ty -- Bound +zonk_tc_tyvar :: (TcTyVar -> TcM Type) -- What to do for an unbound mutable variable + -> TcTyVar -> TcM TcType +zonk_tc_tyvar unbound_var_fn tyvar + | not (isMetaTyVar tyvar) -- Skolems + = returnM (TyVarTy tyvar) + + | otherwise -- Mutables + = do { cts <- readMetaTyVar tyvar + ; case cts of + Flexi -> unbound_var_fn tyvar -- Unbound meta type variable + Indirect ty -> zonkType unbound_var_fn ty } \end{code} %************************************************************************ %* * + Zonking kinds +%* * +%************************************************************************ + +\begin{code} +readKindVar :: KindVar -> TcM (Maybe TcKind) +writeKindVar :: KindVar -> TcKind -> TcM () +readKindVar kv = readMutVar (kindVarRef kv) +writeKindVar kv val = writeMutVar (kindVarRef kv) (Just val) + +------------- +zonkTcKind :: TcKind -> TcM TcKind +zonkTcKind (FunKind k1 k2) = do { k1' <- zonkTcKind k1 + ; k2' <- zonkTcKind k2 + ; returnM (FunKind k1' k2') } +zonkTcKind k@(KindVar kv) = do { mb_kind <- readKindVar kv + ; case mb_kind of + Nothing -> returnM k + Just k -> zonkTcKind k } +zonkTcKind other_kind = returnM other_kind + +------------- +zonkTcKindToKind :: TcKind -> TcM Kind +zonkTcKindToKind (FunKind k1 k2) = do { k1' <- zonkTcKindToKind k1 + ; k2' <- zonkTcKindToKind k2 + ; returnM (FunKind k1' k2') } + +zonkTcKindToKind (KindVar kv) = do { mb_kind <- readKindVar kv + ; case mb_kind of + Nothing -> return liftedTypeKind + Just k -> zonkTcKindToKind k } + +zonkTcKindToKind OpenTypeKind = returnM liftedTypeKind -- An "Open" kind defaults to * +zonkTcKindToKind other_kind = returnM other_kind +\end{code} + +%************************************************************************ +%* * \subsection{Checking a user type} %* * %************************************************************************ @@ -500,45 +661,6 @@ This might not necessarily show up in kind checking. \begin{code} -data UserTypeCtxt - = FunSigCtxt Name -- Function type signature - | ExprSigCtxt -- Expression type signature - | ConArgCtxt Name -- Data constructor argument - | TySynCtxt Name -- RHS of a type synonym decl - | GenPatCtxt -- Pattern in generic decl - -- f{| a+b |} (Inl x) = ... - | PatSigCtxt -- Type sig in pattern - -- f (x::t) = ... - | ResSigCtxt -- Result type sig - -- f x :: t = .... - | ForSigCtxt Name -- Foreign inport or export signature - | RuleSigCtxt Name -- Signature on a forall'd variable in a RULE - | DefaultDeclCtxt -- Types in a default declaration - --- Notes re TySynCtxt --- We allow type synonyms that aren't types; e.g. type List = [] --- --- If the RHS mentions tyvars that aren't in scope, we'll --- quantify over them: --- e.g. type T = a->a --- will become type T = forall a. a->a --- --- With gla-exts that's right, but for H98 we should complain. - - -pprUserTypeCtxt (FunSigCtxt n) = ptext SLIT("the type signature for") <+> quotes (ppr n) -pprUserTypeCtxt ExprSigCtxt = ptext SLIT("an expression type signature") -pprUserTypeCtxt (ConArgCtxt c) = ptext SLIT("the type of constructor") <+> quotes (ppr c) -pprUserTypeCtxt (TySynCtxt c) = ptext SLIT("the RHS of a type synonym declaration") <+> quotes (ppr c) -pprUserTypeCtxt GenPatCtxt = ptext SLIT("the type pattern of a generic definition") -pprUserTypeCtxt PatSigCtxt = ptext SLIT("a pattern type signature") -pprUserTypeCtxt ResSigCtxt = ptext SLIT("a result type signature") -pprUserTypeCtxt (ForSigCtxt n) = ptext SLIT("the foreign signature for") <+> quotes (ppr n) -pprUserTypeCtxt (RuleSigCtxt n) = ptext SLIT("the type signature on") <+> quotes (ppr n) -pprUserTypeCtxt DefaultDeclCtxt = ptext SLIT("a `default' declaration") -\end{code} - -\begin{code} checkValidType :: UserTypeCtxt -> Type -> TcM () -- Checks that the type is valid for the given context checkValidType ctxt ty @@ -549,7 +671,8 @@ checkValidType ctxt ty | otherwise = case ctxt of -- Haskell 98 GenPatCtxt -> Rank 0 - PatSigCtxt -> Rank 0 + LamPatSigCtxt -> Rank 0 + BindPatSigCtxt -> Rank 0 DefaultDeclCtxt-> Rank 0 ResSigCtxt -> Rank 0 TySynCtxt _ -> Rank 0 @@ -559,20 +682,22 @@ checkValidType ctxt ty -- constructor, hence rank 1 ForSigCtxt _ -> Rank 1 RuleSigCtxt _ -> Rank 1 + SpecInstCtxt -> Rank 1 actual_kind = typeKind ty - actual_kind_is_lifted = actual_kind `eqKind` liftedTypeKind - kind_ok = case ctxt of TySynCtxt _ -> True -- Any kind will do - GenPatCtxt -> actual_kind_is_lifted - ForSigCtxt _ -> actual_kind_is_lifted - other -> isTypeKind actual_kind + ResSigCtxt -> isOpenTypeKind actual_kind + ExprSigCtxt -> isOpenTypeKind actual_kind + GenPatCtxt -> isLiftedTypeKind actual_kind + ForSigCtxt _ -> isLiftedTypeKind actual_kind + other -> isArgTypeKind actual_kind ubx_tup | not gla_exts = UT_NotOk | otherwise = case ctxt of TySynCtxt _ -> UT_Ok + ExprSigCtxt -> UT_Ok other -> UT_NotOk -- Unboxed tuples ok in function results, -- but for type synonyms we allow them even at @@ -617,7 +742,7 @@ check_poly_type rank ubx_tup ty check_arg_type :: Type -> TcM () -- The sort of type that can instantiate a type variable, -- or be the argument of a type constructor. --- Not an unboxed tuple, not a forall. +-- Not an unboxed tuple, but now *can* be a forall (since impredicativity) -- Other unboxed types are very occasionally allowed as type -- arguments depending on the kind of the type constructor -- @@ -634,7 +759,7 @@ check_arg_type :: Type -> TcM () -- Anyway, they are dealt with by a special case in check_tau_type check_arg_type ty - = check_tau_type (Rank 0) UT_NotOk ty `thenM_` + = check_poly_type Arbitrary UT_NotOk ty `thenM_` checkTc (not (isUnLiftedType ty)) (unliftedArgErr ty) ---------------------------------------- @@ -642,24 +767,42 @@ check_tau_type :: Rank -> UbxTupFlag -> Type -> TcM () -- Rank is allowed rank for function args -- No foralls otherwise -check_tau_type rank ubx_tup ty@(ForAllTy _ _) = failWithTc (forAllTyErr ty) -check_tau_type rank ubx_tup (PredTy sty) = getDOpts `thenM` \ dflags -> - check_source_ty dflags TypeCtxt sty +check_tau_type rank ubx_tup ty@(ForAllTy _ _) = failWithTc (forAllTyErr ty) +check_tau_type rank ubx_tup ty@(FunTy (PredTy _) _) = failWithTc (forAllTyErr ty) + -- Reject e.g. (Maybe (?x::Int => Int)), with a decent error message + +-- Naked PredTys don't usually show up, but they can as a result of +-- {-# SPECIALISE instance Ord Char #-} +-- The Right Thing would be to fix the way that SPECIALISE instance pragmas +-- are handled, but the quick thing is just to permit PredTys here. +check_tau_type rank ubx_tup (PredTy sty) = getDOpts `thenM` \ dflags -> + check_source_ty dflags TypeCtxt sty + check_tau_type rank ubx_tup (TyVarTy _) = returnM () check_tau_type rank ubx_tup ty@(FunTy arg_ty res_ty) = check_poly_type rank UT_NotOk arg_ty `thenM_` - check_tau_type rank UT_Ok res_ty + check_poly_type rank UT_Ok res_ty check_tau_type rank ubx_tup (AppTy ty1 ty2) = check_arg_type ty1 `thenM_` check_arg_type ty2 -check_tau_type rank ubx_tup (NoteTy (SynNote syn) ty) - -- Synonym notes are built only when the synonym is - -- saturated (see Type.mkSynTy) - = doptM Opt_GlasgowExts `thenM` \ gla_exts -> - (if gla_exts then - -- If -fglasgow-exts then don't check the 'note' part. - -- This allows us to instantiate a synonym defn with a +check_tau_type rank ubx_tup (NoteTy other_note ty) + = check_tau_type rank ubx_tup ty + +check_tau_type rank ubx_tup ty@(TyConApp tc tys) + | isSynTyCon tc + = do { -- It's OK to have an *over-applied* type synonym + -- data Tree a b = ... + -- type Foo a = Tree [a] + -- f :: Foo a b -> ... + ; case tcView ty of + Just ty' -> check_tau_type rank ubx_tup ty' -- Check expansion + Nothing -> failWithTc arity_msg + + ; gla_exts <- doptM Opt_GlasgowExts + ; if gla_exts then + -- If -fglasgow-exts then don't check the type arguments + -- This allows us to instantiate a synonym defn with a -- for-all type, or with a partially-applied type synonym. -- e.g. type T a b = a -- type S m = m () @@ -668,34 +811,18 @@ check_tau_type rank ubx_tup (NoteTy (SynNote syn) ty) -- But if you expand S first, then T we get just -- f :: Int -- which is fine. - returnM () - else - -- For H98, do check the un-expanded part - check_tau_type rank ubx_tup syn - ) `thenM_` - - check_tau_type rank ubx_tup ty - -check_tau_type rank ubx_tup (NoteTy other_note ty) - = check_tau_type rank ubx_tup ty - -check_tau_type rank ubx_tup (NewTcApp tc tys) - = mappM_ check_arg_type tys - -check_tau_type rank ubx_tup ty@(TyConApp tc tys) - | isSynTyCon tc - = -- NB: Type.mkSynTy builds a TyConApp (not a NoteTy) for an unsaturated - -- synonym application, leaving it to checkValidType (i.e. right here) - -- to find the error - checkTc syn_arity_ok arity_msg `thenM_` - mappM_ check_arg_type tys + returnM () + else + -- For H98, do check the type args + mappM_ check_arg_type tys + } | isUnboxedTupleTyCon tc = doptM Opt_GlasgowExts `thenM` \ gla_exts -> checkTc (ubx_tup_ok gla_exts) ubx_tup_msg `thenM_` mappM_ (check_tau_type (Rank 0) UT_Ok) tys - -- Args are allowed to be unlifted, or - -- more unboxed tuples, so can't use check_arg_ty + -- Args are allowed to be unlifted, or + -- more unboxed tuples, so can't use check_arg_ty | otherwise = mappM_ check_arg_type tys @@ -703,11 +830,6 @@ check_tau_type rank ubx_tup ty@(TyConApp tc tys) where ubx_tup_ok gla_exts = case ubx_tup of { UT_Ok -> gla_exts; other -> False } - syn_arity_ok = tc_arity <= n_args - -- It's OK to have an *over-applied* type synonym - -- data Tree a b = ... - -- type Foo a = Tree [a] - -- f :: Foo a b -> ... n_args = length tys tc_arity = tyConArity tc @@ -715,7 +837,7 @@ check_tau_type rank ubx_tup ty@(TyConApp tc tys) ubx_tup_msg = ubxArgTyErr ty ---------------------------------------- -forAllTyErr ty = ptext SLIT("Illegal polymorphic type:") <+> ppr ty +forAllTyErr ty = ptext SLIT("Illegal polymorphic or qualified type:") <+> ppr ty unliftedArgErr ty = ptext SLIT("Illegal unlifted type argument:") <+> ppr ty ubxArgTyErr ty = ptext SLIT("Illegal unboxed tuple type as function argument:") <+> ppr ty kindErr kind = ptext SLIT("Expecting an ordinary type, but found a type of kind") <+> ppr kind @@ -747,14 +869,11 @@ data SourceTyCtxt -- f :: N a -> N a | InstThetaCtxt -- Context of an instance decl -- instance => C [a] where ... - | InstHeadCtxt -- Head of an instance decl - -- instance ... => Eq a where ... pprSourceTyCtxt (ClassSCCtxt c) = ptext SLIT("the super-classes of class") <+> quotes (ppr c) pprSourceTyCtxt SigmaCtxt = ptext SLIT("the context of a polymorphic type") pprSourceTyCtxt (DataTyCtxt tc) = ptext SLIT("the context of the data type declaration for") <+> quotes (ppr tc) pprSourceTyCtxt InstThetaCtxt = ptext SLIT("the context of an instance declaration") -pprSourceTyCtxt InstHeadCtxt = ptext SLIT("the head of an instance declaration") pprSourceTyCtxt TypeCtxt = ptext SLIT("the context of a type") \end{code} @@ -769,10 +888,6 @@ check_valid_theta ctxt [] check_valid_theta ctxt theta = getDOpts `thenM` \ dflags -> warnTc (notNull dups) (dupPredWarn dups) `thenM_` - -- Actually, in instance decls and type signatures, - -- duplicate constraints are eliminated by TcHsType.hoistForAllTys, - -- so this error can only fire for the context of a class or - -- data type decl. mappM_ (check_source_ty dflags ctxt) theta where (_,dups) = removeDups tcCmpPred theta @@ -814,12 +929,12 @@ check_source_ty dflags ctxt sty = failWithTc (badSourceTyErr sty) ------------------------- check_class_pred_tys dflags ctxt tys = case ctxt of + TypeCtxt -> True -- {-# SPECIALISE instance Eq (T Int) #-} is fine InstHeadCtxt -> True -- We check for instance-head -- formation in checkValidInstHead - InstThetaCtxt -> undecidable_ok || all tcIsTyVarTy tys + InstThetaCtxt -> undecidable_ok || distinct_tyvars tys other -> gla_exts || all tyvar_head tys where - undecidable_ok = dopt Opt_AllowUndecidableInstances dflags gla_exts = dopt Opt_GlasgowExts dflags ------------------------- @@ -913,7 +1028,8 @@ checkThetaCtxt ctxt theta ptext SLIT("While checking") <+> pprSourceTyCtxt ctxt ] badSourceTyErr sty = ptext SLIT("Illegal constraint") <+> pprPred sty -predTyVarErr pred = ptext SLIT("Non-type variables in constraint:") <+> pprPred pred +predTyVarErr pred = sep [ptext SLIT("Non-type variable argument"), + nest 2 (ptext SLIT("in the constraint:") <+> pprPred pred)] dupPredWarn dups = ptext SLIT("Duplicate constraint(s):") <+> pprWithCommas pprPred (map head dups) arityErr kind name n m @@ -962,37 +1078,21 @@ checkValidInstHead ty -- Should be a source type check_inst_head dflags clas tys -- If GlasgowExts then check at least one isn't a type variable | dopt Opt_GlasgowExts dflags - = check_tyvars dflags clas tys + = returnM () - -- WITH HASKELL 1.4, MUST HAVE C (T a b c) + -- WITH HASKELL 98, MUST HAVE C (T a b c) | isSingleton tys, - Just (tycon, arg_tys) <- tcSplitTyConApp_maybe first_ty, - not (isSynTyCon tycon), -- ...but not a synonym - all tcIsTyVarTy arg_tys, -- Applied to type variables - equalLength (varSetElems (tyVarsOfTypes arg_tys)) arg_tys - -- This last condition checks that all the type variables are distinct + tcValidInstHeadTy first_ty = returnM () | otherwise = failWithTc (instTypeErr (pprClassPred clas tys) head_shape_msg) where - (first_ty : _) = tys + (first_ty : _) = tys head_shape_msg = parens (text "The instance type must be of form (T a b c)" $$ text "where T is not a synonym, and a,b,c are distinct type variables") - -check_tyvars dflags clas tys - -- Check that at least one isn't a type variable - -- unless -fallow-undecideable-instances - | dopt Opt_AllowUndecidableInstances dflags = returnM () - | not (all tcIsTyVarTy tys) = returnM () - | otherwise = failWithTc (instTypeErr (pprClassPred clas tys) msg) - where - msg = parens (ptext SLIT("There must be at least one non-type-variable in the instance head") - $$ undecidableMsg) - -undecidableMsg = ptext SLIT("Use -fallow-undecidable-instances to permit this") \end{code} \begin{code} @@ -1000,3 +1100,85 @@ instTypeErr pp_ty msg = sep [ptext SLIT("Illegal instance declaration for") <+> quotes pp_ty, nest 4 msg] \end{code} + + +%************************************************************************ +%* * +\subsection{Checking instance for termination} +%* * +%************************************************************************ + +Termination test: each assertion in the context satisfies + (1) no variable has more occurrences in the assertion than in the head, and + (2) the assertion has fewer constructors and variables (taken together + and counting repetitions) than the head. +This is only needed with -fglasgow-exts, as Haskell 98 restrictions +(which have already been checked) guarantee termination. + +\begin{code} +checkInstTermination :: ThetaType -> [TcType] -> TcM () +checkInstTermination theta tys + = do + dflags <- getDOpts + check_inst_termination dflags theta tys + +check_inst_termination dflags theta tys + | not (dopt Opt_GlasgowExts dflags) = returnM () + | dopt Opt_AllowUndecidableInstances dflags = returnM () + | otherwise = do + mappM_ (check_nomore (fvTypes tys)) theta + mappM_ (check_smaller (sizeTypes tys)) theta + +check_nomore :: [TyVar] -> PredType -> TcM () +check_nomore fvs pred + = checkTc (null (fvPred pred \\ fvs)) + (predUndecErr pred nomoreMsg $$ parens undecidableMsg) + +check_smaller :: Int -> PredType -> TcM () +check_smaller n pred + = checkTc (sizePred pred < n) + (predUndecErr pred smallerMsg $$ parens undecidableMsg) + +predUndecErr pred msg = sep [msg, + nest 2 (ptext SLIT("in the constraint:") <+> pprPred pred)] + +nomoreMsg = ptext SLIT("Variable occurs more often in a constraint than in the instance head") +smallerMsg = ptext SLIT("Constraint is no smaller than the instance head") +undecidableMsg = ptext SLIT("Use -fallow-undecidable-instances to permit this") + +-- free variables of a type, retaining repetitions +fvType :: Type -> [TyVar] +fvType ty | Just exp_ty <- tcView ty = fvType exp_ty +fvType (TyVarTy tv) = [tv] +fvType (TyConApp _ tys) = fvTypes tys +fvType (NoteTy _ ty) = fvType ty +fvType (PredTy pred) = fvPred pred +fvType (FunTy arg res) = fvType arg ++ fvType res +fvType (AppTy fun arg) = fvType fun ++ fvType arg +fvType (ForAllTy tyvar ty) = filter (/= tyvar) (fvType ty) + +fvTypes :: [Type] -> [TyVar] +fvTypes tys = concat (map fvType tys) + +fvPred :: PredType -> [TyVar] +fvPred (ClassP _ tys') = fvTypes tys' +fvPred (IParam _ ty) = fvType ty + +-- size of a type: the number of variables and constructors +sizeType :: Type -> Int +sizeType ty | Just exp_ty <- tcView ty = sizeType exp_ty +sizeType (TyVarTy _) = 1 +sizeType (TyConApp _ tys) = sizeTypes tys + 1 +sizeType (NoteTy _ ty) = sizeType ty +sizeType (PredTy pred) = sizePred pred +sizeType (FunTy arg res) = sizeType arg + sizeType res + 1 +sizeType (AppTy fun arg) = sizeType fun + sizeType arg +sizeType (ForAllTy _ ty) = sizeType ty + +sizeTypes :: [Type] -> Int +sizeTypes xs = sum (map sizeType xs) + +sizePred :: PredType -> Int +sizePred (ClassP _ tys') = sizeTypes tys' +sizePred (IParam _ ty) = sizeType ty +\end{code}