\begin{code}
-#include "HsVersions.h"
-
module Type (
- GenType(..), SYN_IE(Type), SYN_IE(TauType),
- mkTyVarTy, mkTyVarTys,
- getTyVar, getTyVar_maybe, isTyVarTy,
- mkAppTy, mkAppTys, splitAppTy,
- mkFunTy, mkFunTys,
- splitFunTy, splitFunTyExpandingDicts, splitFunTyExpandingDictsAndPeeking,
- getFunTy_maybe, getFunTyExpandingDicts_maybe,
- mkTyConTy, getTyCon_maybe, applyTyCon,
- mkSynTy,
- mkForAllTy, mkForAllTys, getForAllTy_maybe, getForAllTyExpandingDicts_maybe, splitForAllTy,
- mkForAllUsageTy, getForAllUsageTy,
- applyTy,
-#ifdef DEBUG
- expandTy, -- only let out for debugging (ToDo: rm?)
-#endif
- isPrimType, isUnboxedType, typePrimRep,
-
- SYN_IE(RhoType), SYN_IE(SigmaType), SYN_IE(ThetaType),
- mkDictTy,
- mkRhoTy, splitRhoTy, mkTheta, isDictTy,
- mkSigmaTy, splitSigmaTy,
+ GenType(..), TyNote(..), -- Representation visible to friends
+ Type, GenKind, Kind,
+ TyVarSubst, GenTyVarSubst,
+
+ funTyCon, boxedKindCon, unboxedKindCon, openKindCon,
+
+ boxedTypeKind, unboxedTypeKind, openTypeKind, mkArrowKind, mkArrowKinds,
+ hasMoreBoxityInfo, superKind,
+
+ mkTyVarTy, mkTyVarTys, getTyVar, getTyVar_maybe, isTyVarTy,
- maybeAppTyCon, getAppTyCon,
- maybeAppDataTyCon, getAppDataTyCon, getAppSpecDataTyCon,
- maybeAppDataTyConExpandingDicts, maybeAppSpecDataTyConExpandingDicts,
- getAppDataTyConExpandingDicts, getAppSpecDataTyConExpandingDicts,
- maybeBoxedPrimType,
+ mkAppTy, mkAppTys, splitAppTy, splitAppTys, splitAppTy_maybe,
- matchTy, matchTys, eqTy, eqSimpleTy, eqSimpleTheta,
+ mkFunTy, mkFunTys, splitFunTy_maybe, splitFunTys, funResultTy,
- instantiateTy, instantiateTauTy, instantiateUsage,
- applyTypeEnvToTy,
+ mkTyConApp, mkTyConTy, splitTyConApp_maybe,
+ splitAlgTyConApp_maybe, splitAlgTyConApp,
+ mkDictTy, splitDictTy_maybe, isDictTy,
+ mkSynTy, isSynTy,
+
+ mkForAllTy, mkForAllTys, splitForAllTy_maybe, splitForAllTys,
+ applyTy, applyTys, isForAllTy,
+ mkPiType,
+
+ TauType, RhoType, SigmaType, ThetaType,
isTauTy,
+ mkRhoTy, splitRhoTy,
+ mkSigmaTy, splitSigmaTy,
+
+ isUnLiftedType, isUnboxedType, isUnboxedTupleType, isAlgType,
+ typePrimRep,
+
+ tyVarsOfType, tyVarsOfTypes, namesOfType, typeKind,
+ addFreeTyVars,
+
+ substTy, fullSubstTy, substTyVar,
+ substFlexiTy, substFlexiTheta,
- tyVarsOfType, tyVarsOfTypes, typeKind
+ showTypeCategory
) where
-IMP_Ubiq()
---IMPORT_DELOOPER(IdLoop) -- for paranoia checking
-IMPORT_DELOOPER(TyLoop)
---IMPORT_DELOOPER(PrelLoop) -- for paranoia checking
+#include "HsVersions.h"
+
+import {-# SOURCE #-} DataCon( DataCon )
-- friends:
-import Class ( classSig, classOpLocalType, GenClass{-instances-} )
-import Kind ( mkBoxedTypeKind, resultKind, notArrowKind, Kind )
-import TyCon ( mkFunTyCon, mkTupleTyCon, isFunTyCon,
- isPrimTyCon, isDataTyCon, isSynTyCon, maybeNewTyCon, isNewTyCon,
- tyConKind, tyConDataCons, getSynTyConDefn, TyCon )
-import TyVar ( tyVarKind, GenTyVar{-instances-}, SYN_IE(GenTyVarSet),
- emptyTyVarSet, unionTyVarSets, minusTyVarSet,
- unitTyVarSet, nullTyVarEnv, lookupTyVarEnv, delFromTyVarEnv,
- addOneToTyVarEnv, SYN_IE(TyVarEnv), SYN_IE(TyVar) )
-import Usage ( usageOmega, GenUsage, SYN_IE(Usage), SYN_IE(UVar), SYN_IE(UVarEnv),
- nullUVarEnv, addOneToUVarEnv, lookupUVarEnv, eqUVar,
- eqUsage )
+import Var ( Id, TyVar, GenTyVar, IdOrTyVar,
+ removeTyVarFlexi,
+ tyVarKind, isId, idType
+ )
+import VarEnv
+import VarSet
--- others
-import Maybes ( maybeToBool, assocMaybe )
-import PrimRep ( PrimRep(..) )
-import Unique -- quite a few *Keys
-import Util ( thenCmp, zipEqual, assoc,
- panic, panic#, assertPanic, pprPanic,
- Ord3(..){-instances-}
+import Name ( NamedThing(..), Provenance(..), ExportFlag(..),
+ mkWiredInTyConName, mkGlobalName, varOcc
+ )
+import NameSet
+import Class ( classTyCon, Class )
+import TyCon ( TyCon, Boxity(..),
+ mkFunTyCon, mkKindCon, superKindCon,
+ matchesTyCon, isUnboxedTupleTyCon, isUnLiftedTyCon,
+ isFunTyCon, isEnumerationTyCon,
+ isTupleTyCon, maybeTyConSingleCon,
+ isPrimTyCon, isAlgTyCon, isSynTyCon, tyConArity,
+ tyConKind, tyConDataCons, getSynTyConDefn,
+ tyConPrimRep, tyConClass_maybe
)
--- ToDo:rm all these
---import {-mumble-}
--- Pretty
---import {-mumble-}
--- PprStyle
---import {-mumble-}
--- PprType --(pprType )
---import {-mumble-}
--- UniqFM (ufmToList )
---import {-mumble-}
--- Outputable
---import PprEnv
+
+-- others
+import BasicTypes ( Unused )
+import SrcLoc ( mkBuiltinSrcLoc )
+import PrelMods ( pREL_GHC )
+import Maybes ( maybeToBool )
+import PrimRep ( PrimRep(..), isFollowableRep )
+import Unique -- quite a few *Keys
+import Util ( thenCmp )
+import Outputable
+
\end{code}
-Data types
-~~~~~~~~~~
+%************************************************************************
+%* *
+\subsection{Type Classifications}
+%* *
+%************************************************************************
+
+A type is
+
+ *unboxed* iff its representation is other than a pointer
+ Unboxed types cannot instantiate a type variable
+ Unboxed types are always unlifted.
+
+ *lifted* A type is lifted iff it has bottom as an element.
+ Closures always have lifted types: i.e. any
+ let-bound identifier in Core must have a lifted
+ type. Operationally, a lifted object is one that
+ can be entered.
+ (NOTE: previously "pointed").
+
+ *algebraic* A type with one or more constructors. An algebraic
+ type is one that can be deconstructed with a case
+ expression. *NOT* the same as lifted types,
+ because we also include unboxed tuples in this
+ classification.
+
+ *primitive* iff it is a built-in type that can't be expressed
+ in Haskell.
+
+Currently, all primitive types are unlifted, but that's not necessarily
+the case. (E.g. Int could be primitive.)
+
+Some primitive types are unboxed, such as Int#, whereas some are boxed
+but unlifted (such as ByteArray#). The only primitive types that we
+classify as algebraic are the unboxed tuples.
+
+examples of type classifications:
+
+Type primitive boxed lifted algebraic
+-----------------------------------------------------------------------------
+Int#, Yes No No No
+ByteArray# Yes Yes No No
+(# a, b #) Yes No No Yes
+( a, b ) No Yes Yes Yes
+[a] No Yes Yes Yes
+
+%************************************************************************
+%* *
+\subsection{The data type}
+%* *
+%************************************************************************
+
\begin{code}
-type Type = GenType TyVar UVar -- Used after typechecker
+type Type = GenType Unused -- Used after typechecker
+
+type GenKind flexi = GenType flexi
+type Kind = Type
-data GenType tyvar uvar -- Parameterised over type and usage variables
- = TyVarTy tyvar
+type TyVarSubst = TyVarEnv Type
+type GenTyVarSubst flexi = TyVarEnv (GenType flexi)
+
+data GenType flexi -- Parameterised over the "flexi" part of a type variable
+ = TyVarTy (GenTyVar flexi)
| AppTy
- (GenType tyvar uvar)
- (GenType tyvar uvar)
+ (GenType flexi) -- Function is *not* a TyConApp
+ (GenType flexi)
+
+ | TyConApp -- Application of a TyCon
+ TyCon -- *Invariant* saturated appliations of FunTyCon and
+ -- synonyms have their own constructors, below.
+ [GenType flexi] -- Might not be saturated.
- | TyConTy -- Constants of a specified kind
- TyCon -- Must *not* be a SynTyCon
- (GenUsage uvar) -- Usage gives uvar of the full application,
- -- iff the full application is of kind Type
- -- c.f. the Usage field in TyVars
+ | FunTy -- Special case of TyConApp: TyConApp FunTyCon [t1,t2]
+ (GenType flexi)
+ (GenType flexi)
- | SynTy -- Synonyms must be saturated, and contain their expansion
- TyCon -- Must be a SynTyCon
- [GenType tyvar uvar]
- (GenType tyvar uvar) -- Expansion!
+ | NoteTy -- Saturated application of a type synonym
+ (TyNote flexi)
+ (GenType flexi) -- The expanded version
| ForAllTy
- tyvar
- (GenType tyvar uvar) -- TypeKind
-
- | ForAllUsageTy
- uvar -- Quantify over this
- [uvar] -- Bounds; the quantified var must be
- -- less than or equal to all these
- (GenType tyvar uvar)
-
- -- Two special cases that save a *lot* of administrative
- -- overhead:
-
- | FunTy -- BoxedTypeKind
- (GenType tyvar uvar) -- Both args are of TypeKind
- (GenType tyvar uvar)
- (GenUsage uvar)
-
- | DictTy -- TypeKind
- Class -- Class
- (GenType tyvar uvar) -- Arg has kind TypeKind
- (GenUsage uvar)
+ (GenTyVar flexi)
+ (GenType flexi) -- TypeKind
+
+data TyNote flexi
+ = SynNote (GenType flexi) -- The unexpanded version of the type synonym; always a TyConApp
+ | FTVNote (GenTyVarSet flexi) -- The free type variables of the noted expression
+\end{code}
+
+
+%************************************************************************
+%* *
+\subsection{Wired-in type constructors
+%* *
+%************************************************************************
+
+We define a few wired-in type constructors here to avoid module knots
+
+\begin{code}
+funTyConName = mkWiredInTyConName funTyConKey pREL_GHC SLIT("->") funTyCon
+funTyCon = mkFunTyCon funTyConName (mkArrowKinds [boxedTypeKind, boxedTypeKind] boxedTypeKind)
\end{code}
\begin{code}
-type RhoType = Type
-type TauType = Type
-type ThetaType = [(Class, Type)]
-type SigmaType = Type
+mk_kind_name key str = mkGlobalName key pREL_GHC (varOcc str)
+ (LocalDef mkBuiltinSrcLoc NotExported)
+ -- mk_kind_name is a bit of a hack
+ -- The LocalDef means that we print the name without
+ -- a qualifier, which is what we want for these kinds.
+
+boxedKindConName = mk_kind_name boxedKindConKey SLIT("*")
+boxedKindCon = mkKindCon boxedKindConName superKind Boxed
+
+unboxedKindConName = mk_kind_name unboxedKindConKey SLIT("*#")
+unboxedKindCon = mkKindCon unboxedKindConName superKind Unboxed
+
+openKindConName = mk_kind_name openKindConKey SLIT("*?")
+openKindCon = mkKindCon openKindConName superKind Open
\end{code}
-Expand abbreviations
-~~~~~~~~~~~~~~~~~~~~
-Removes just the top level of any abbreviations.
+%************************************************************************
+%* *
+\subsection{Kinds}
+%* *
+%************************************************************************
\begin{code}
-expandTy :: Type -> Type -- Restricted to Type due to Dict expansion
+superKind :: GenKind flexi -- Box, the type of all kinds
+superKind = TyConApp superKindCon []
-expandTy (FunTy t1 t2 u) = AppTy (AppTy (TyConTy mkFunTyCon u) t1) t2
-expandTy (SynTy _ _ t) = expandTy t
-expandTy (DictTy clas ty u)
- = case all_arg_tys of
+boxedTypeKind, unboxedTypeKind, openTypeKind :: GenKind flexi
+boxedTypeKind = TyConApp boxedKindCon []
+unboxedTypeKind = TyConApp unboxedKindCon []
+openTypeKind = TyConApp openKindCon []
- [] -> voidTy -- Empty dictionary represented by Void
+mkArrowKind :: GenKind flexi -> GenKind flexi -> GenKind flexi
+mkArrowKind = FunTy
- [arg_ty] -> expandTy arg_ty -- just the <whatever> itself
+mkArrowKinds :: [GenKind flexi] -> GenKind flexi -> GenKind flexi
+mkArrowKinds arg_kinds result_kind = foldr FunTy result_kind arg_kinds
+\end{code}
- -- The extra expandTy is to make sure that
- -- the result isn't still a dict, which it might be
- -- if the original guy was a dict with one superdict and
- -- no methods!
+\begin{code}
+hasMoreBoxityInfo :: GenKind flexi -> GenKind flexi -> Bool
- other -> ASSERT(not (null all_arg_tys))
- foldl AppTy (TyConTy (mkTupleTyCon (length all_arg_tys)) u) all_arg_tys
+(NoteTy _ k1) `hasMoreBoxityInfo` k2 = k1 `hasMoreBoxityInfo` k2
+k1 `hasMoreBoxityInfo` (NoteTy _ k2) = k1 `hasMoreBoxityInfo` k2
- -- A tuple of 'em
- -- Note: length of all_arg_tys can be 0 if the class is
- -- CCallable, CReturnable (and anything else
- -- *really weird* that the user writes).
- where
- (tyvar, super_classes, ops) = classSig clas
- super_dict_tys = map mk_super_ty super_classes
- class_op_tys = map mk_op_ty ops
- all_arg_tys = super_dict_tys ++ class_op_tys
- mk_super_ty sc = DictTy sc ty usageOmega
- mk_op_ty op = instantiateTy [(tyvar,ty)] (classOpLocalType op)
-
-expandTy ty = ty
+(TyConApp kc1 ts1) `hasMoreBoxityInfo` (TyConApp kc2 ts2)
+ = ASSERT( null ts1 && null ts2 )
+ kc2 `matchesTyCon` kc1 -- NB the reversal of arguments
+
+kind1@(FunTy _ _) `hasMoreBoxityInfo` kind2@(FunTy _ _)
+ = ASSERT( kind1 == kind2 )
+ True
+ -- The two kinds can be arrow kinds; for example when unifying
+ -- (m1 Int) and (m2 Int) we end up unifying m1 and m2, which should
+ -- have the same kind.
+
+-- Other cases are impossible
\end{code}
-Simple construction and analysis functions
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+%************************************************************************
+%* *
+\subsection{Constructor-specific functions}
+%* *
+%************************************************************************
+
+
+---------------------------------------------------------------------
+ TyVarTy
+ ~~~~~~~
\begin{code}
-mkTyVarTy :: t -> GenType t u
-mkTyVarTys :: [t] -> [GenType t y]
+mkTyVarTy :: GenTyVar flexi -> GenType flexi
mkTyVarTy = TyVarTy
+
+mkTyVarTys :: [GenTyVar flexi] -> [GenType flexi]
mkTyVarTys = map mkTyVarTy -- a common use of mkTyVarTy
-getTyVar :: String -> GenType t u -> t
-getTyVar msg (TyVarTy tv) = tv
-getTyVar msg (SynTy _ _ t) = getTyVar msg t
-getTyVar msg other = panic ("getTyVar: " ++ msg)
+getTyVar :: String -> GenType flexi -> GenTyVar flexi
+getTyVar msg (TyVarTy tv) = tv
+getTyVar msg (NoteTy _ t) = getTyVar msg t
+getTyVar msg other = panic ("getTyVar: " ++ msg)
-getTyVar_maybe :: GenType t u -> Maybe t
-getTyVar_maybe (TyVarTy tv) = Just tv
-getTyVar_maybe (SynTy _ _ t) = getTyVar_maybe t
-getTyVar_maybe other = Nothing
+getTyVar_maybe :: GenType flexi -> Maybe (GenTyVar flexi)
+getTyVar_maybe (TyVarTy tv) = Just tv
+getTyVar_maybe (NoteTy _ t) = getTyVar_maybe t
+getTyVar_maybe other = Nothing
-isTyVarTy :: GenType t u -> Bool
+isTyVarTy :: GenType flexi -> Bool
isTyVarTy (TyVarTy tv) = True
-isTyVarTy (SynTy _ _ t) = isTyVarTy t
-isTyVarTy other = False
+isTyVarTy (NoteTy _ ty) = isTyVarTy ty
+isTyVarTy other = False
\end{code}
-\begin{code}
-mkAppTy = AppTy
-mkAppTys :: GenType t u -> [GenType t u] -> GenType t u
-mkAppTys t ts = foldl AppTy t ts
+---------------------------------------------------------------------
+ AppTy
+ ~~~~~
+We need to be pretty careful with AppTy to make sure we obey the
+invariant that a TyConApp is always visibly so. mkAppTy maintains the
+invariant: use it.
-splitAppTy :: GenType t u -> (GenType t u, [GenType t u])
-splitAppTy t = go t []
+\begin{code}
+mkAppTy orig_ty1 orig_ty2 = mk_app orig_ty1
+ where
+ mk_app (NoteTy _ ty1) = mk_app ty1
+ mk_app (TyConApp tc tys) = mkTyConApp tc (tys ++ [orig_ty2])
+ mk_app ty1 = AppTy orig_ty1 orig_ty2
+
+mkAppTys :: GenType flexi -> [GenType flexi] -> GenType flexi
+mkAppTys orig_ty1 [] = orig_ty1
+ -- This check for an empty list of type arguments
+ -- avoids the needless of a type synonym constructor.
+ -- For example: mkAppTys Rational []
+ -- returns to (Ratio Integer), which has needlessly lost
+ -- the Rational part.
+mkAppTys orig_ty1 orig_tys2 = mk_app orig_ty1
where
- go (AppTy t arg) ts = go t (arg:ts)
- go (FunTy fun arg u) ts = (TyConTy mkFunTyCon u, fun:arg:ts)
- go (SynTy _ _ t) ts = go t ts
- go t ts = (t,ts)
+ mk_app (NoteTy _ ty1) = mk_app ty1
+ mk_app (TyConApp tc tys) = mkTyConApp tc (tys ++ orig_tys2)
+ mk_app ty1 = foldl AppTy orig_ty1 orig_tys2
+
+splitAppTy_maybe :: GenType flexi -> Maybe (GenType flexi, GenType flexi)
+splitAppTy_maybe (FunTy ty1 ty2) = Just (TyConApp funTyCon [ty1], ty2)
+splitAppTy_maybe (AppTy ty1 ty2) = Just (ty1, ty2)
+splitAppTy_maybe (NoteTy _ ty) = splitAppTy_maybe ty
+splitAppTy_maybe (TyConApp tc []) = Nothing
+splitAppTy_maybe (TyConApp tc tys) = split tys []
+ where
+ split [ty2] acc = Just (TyConApp tc (reverse acc), ty2)
+ split (ty:tys) acc = split tys (ty:acc)
+
+splitAppTy_maybe other = Nothing
+
+splitAppTy :: GenType flexi -> (GenType flexi, GenType flexi)
+splitAppTy ty = case splitAppTy_maybe ty of
+ Just pr -> pr
+ Nothing -> panic "splitAppTy"
+
+splitAppTys :: GenType flexi -> (GenType flexi, [GenType flexi])
+splitAppTys ty = split ty ty []
+ where
+ split orig_ty (AppTy ty arg) args = split ty ty (arg:args)
+ split orig_ty (NoteTy _ ty) args = split orig_ty ty args
+ split orig_ty (FunTy ty1 ty2) args = ASSERT( null args )
+ (TyConApp funTyCon [], [ty1,ty2])
+ split orig_ty (TyConApp tc tc_args) args = (TyConApp tc [], tc_args ++ args)
+ split orig_ty ty args = (orig_ty, args)
\end{code}
+
+---------------------------------------------------------------------
+ FunTy
+ ~~~~~
+
\begin{code}
--- NB mkFunTy, mkFunTys puts in Omega usages, for now at least
-mkFunTy arg res = FunTy arg res usageOmega
-
-mkFunTys :: [GenType t u] -> GenType t u -> GenType t u
-mkFunTys ts t = foldr (\ f a -> FunTy f a usageOmega) t ts
-
- -- getFunTy_maybe and splitFunTy *must* have the general type given, which
- -- means they *can't* do the DictTy jiggery-pokery that
- -- *is* sometimes required. Hence we also have the ExpandingDicts variants
- -- The relationship between these
- -- two functions is like that between eqTy and eqSimpleTy.
- -- ToDo: NUKE when we do dicts via newtype
-
-getFunTy_maybe :: GenType t u -> Maybe (GenType t u, GenType t u)
-getFunTy_maybe (FunTy arg result _) = Just (arg,result)
-getFunTy_maybe (AppTy (AppTy (TyConTy tycon _) arg) res)
- | isFunTyCon tycon = Just (arg, res)
-getFunTy_maybe (SynTy _ _ t) = getFunTy_maybe t
-getFunTy_maybe other = Nothing
-
-getFunTyExpandingDicts_maybe :: Bool -- True <=> peek inside newtype applicatons
- -> Type
- -> Maybe (Type, Type)
-
-getFunTyExpandingDicts_maybe peek (FunTy arg result _) = Just (arg,result)
-getFunTyExpandingDicts_maybe peek
- (AppTy (AppTy (TyConTy tycon _) arg) res) | isFunTyCon tycon = Just (arg, res)
-getFunTyExpandingDicts_maybe peek (SynTy _ _ t) = getFunTyExpandingDicts_maybe peek t
-getFunTyExpandingDicts_maybe peek ty@(DictTy _ _ _) = getFunTyExpandingDicts_maybe peek (expandTy ty)
-getFunTyExpandingDicts_maybe peek other
- | not peek = Nothing -- that was easy
- | otherwise
- = case (maybeAppTyCon other) of
- Nothing -> Nothing
- Just (tc, arg_tys)
- | not (isNewTyCon tc) -> Nothing
- | otherwise ->
- let
- [newtype_con] = tyConDataCons tc -- there must be exactly one...
- [inside_ty] = dataConArgTys newtype_con arg_tys
- in
- getFunTyExpandingDicts_maybe peek inside_ty
-
-splitFunTy :: GenType t u -> ([GenType t u], GenType t u)
-splitFunTyExpandingDicts :: Type -> ([Type], Type)
-splitFunTyExpandingDictsAndPeeking :: Type -> ([Type], Type)
-
-splitFunTy t = split_fun_ty getFunTy_maybe t
-splitFunTyExpandingDicts t = split_fun_ty (getFunTyExpandingDicts_maybe False) t
-splitFunTyExpandingDictsAndPeeking t = split_fun_ty (getFunTyExpandingDicts_maybe True) t
-
-split_fun_ty get t = go t []
+mkFunTy :: GenType flexi -> GenType flexi -> GenType flexi
+mkFunTy arg res = FunTy arg res
+
+mkFunTys :: [GenType flexi] -> GenType flexi -> GenType flexi
+mkFunTys tys ty = foldr FunTy ty tys
+
+splitFunTy_maybe :: GenType flexi -> Maybe (GenType flexi, GenType flexi)
+splitFunTy_maybe (FunTy arg res) = Just (arg, res)
+splitFunTy_maybe (NoteTy _ ty) = splitFunTy_maybe ty
+splitFunTy_maybe other = Nothing
+
+
+splitFunTys :: GenType flexi -> ([GenType flexi], GenType flexi)
+splitFunTys ty = split [] ty ty
where
- go t ts = case (get t) of
- Just (arg,res) -> go res (arg:ts)
- Nothing -> (reverse ts, t)
+ split args orig_ty (FunTy arg res) = split (arg:args) res res
+ split args orig_ty (NoteTy _ ty) = split args orig_ty ty
+ split args orig_ty ty = (reverse args, orig_ty)
+
+funResultTy :: GenType flexi -> GenType flexi
+funResultTy (FunTy arg res) = res
+funResultTy (NoteTy _ ty) = funResultTy ty
+funResultTy ty = ty
\end{code}
+
+
+---------------------------------------------------------------------
+ TyConApp
+ ~~~~~~~~
+
\begin{code}
--- NB applyTyCon puts in usageOmega, for now at least
-mkTyConTy tycon
- = ASSERT(not (isSynTyCon tycon))
- TyConTy tycon usageOmega
+mkTyConApp :: TyCon -> [GenType flexi] -> GenType flexi
+mkTyConApp tycon tys
+ | isFunTyCon tycon && length tys == 2
+ = case tys of
+ (ty1:ty2:_) -> FunTy ty1 ty2
-applyTyCon :: TyCon -> [GenType t u] -> GenType t u
-applyTyCon tycon tys
- = ASSERT (not (isSynTyCon tycon))
- --(if (not (isSynTyCon tycon)) then \x->x else pprTrace "applyTyCon:" (pprTyCon PprDebug tycon)) $
- foldl AppTy (TyConTy tycon usageOmega) tys
+ | otherwise
+ = ASSERT(not (isSynTyCon tycon))
+ TyConApp tycon tys
+
+mkTyConTy :: TyCon -> GenType flexi
+mkTyConTy tycon = ASSERT( not (isSynTyCon tycon) )
+ TyConApp tycon []
+
+-- splitTyConApp "looks through" synonyms, because they don't
+-- mean a distinct type, but all other type-constructor applications
+-- including functions are returned as Just ..
+
+splitTyConApp_maybe :: GenType flexi -> Maybe (TyCon, [GenType flexi])
+splitTyConApp_maybe (TyConApp tc tys) = Just (tc, tys)
+splitTyConApp_maybe (FunTy arg res) = Just (funTyCon, [arg,res])
+splitTyConApp_maybe (NoteTy _ ty) = splitTyConApp_maybe ty
+splitTyConApp_maybe other = Nothing
+
+-- splitAlgTyConApp_maybe looks for
+-- *saturated* applications of *algebraic* data types
+-- "Algebraic" => newtype, data type, or dictionary (not function types)
+-- We return the constructors too.
+
+splitAlgTyConApp_maybe :: GenType flexi -> Maybe (TyCon, [GenType flexi], [DataCon])
+splitAlgTyConApp_maybe (TyConApp tc tys)
+ | isAlgTyCon tc &&
+ tyConArity tc == length tys = Just (tc, tys, tyConDataCons tc)
+splitAlgTyConApp_maybe (NoteTy _ ty) = splitAlgTyConApp_maybe ty
+splitAlgTyConApp_maybe other = Nothing
+
+splitAlgTyConApp :: GenType flexi -> (TyCon, [GenType flexi], [DataCon])
+ -- Here the "algebraic" property is an *assertion*
+splitAlgTyConApp (TyConApp tc tys) = ASSERT( isAlgTyCon tc && tyConArity tc == length tys )
+ (tc, tys, tyConDataCons tc)
+splitAlgTyConApp (NoteTy _ ty) = splitAlgTyConApp ty
+\end{code}
-getTyCon_maybe :: GenType t u -> Maybe TyCon
---getTyConExpandingDicts_maybe :: Type -> Maybe TyCon
+"Dictionary" types are just ordinary data types, but you can
+tell from the type constructor whether it's a dictionary or not.
-getTyCon_maybe (TyConTy tycon _) = Just tycon
-getTyCon_maybe (SynTy _ _ t) = getTyCon_maybe t
-getTyCon_maybe other_ty = Nothing
+\begin{code}
+mkDictTy :: Class -> [GenType flexi] -> GenType flexi
+mkDictTy clas tys = TyConApp (classTyCon clas) tys
---getTyConExpandingDicts_maybe (TyConTy tycon _) = Just tycon
---getTyConExpandingDicts_maybe (SynTy _ _ t) = getTyConExpandingDicts_maybe t
---getTyConExpandingDicts_maybe ty@(DictTy _ _ _) = getTyConExpandingDicts_maybe (expandTy ty)
---getTyConExpandingDicts_maybe other_ty = Nothing
+splitDictTy_maybe :: GenType flexi -> Maybe (Class, [GenType flexi])
+splitDictTy_maybe (TyConApp tc tys)
+ | maybeToBool maybe_class
+ && tyConArity tc == length tys = Just (clas, tys)
+ where
+ maybe_class = tyConClass_maybe tc
+ Just clas = maybe_class
+
+splitDictTy_maybe (NoteTy _ ty) = splitDictTy_maybe ty
+splitDictTy_maybe other = Nothing
+
+isDictTy :: GenType flexi -> Bool
+ -- This version is slightly more efficient than (maybeToBool . splitDictTy)
+isDictTy (TyConApp tc tys)
+ | maybeToBool (tyConClass_maybe tc)
+ && tyConArity tc == length tys
+ = True
+isDictTy (NoteTy _ ty) = isDictTy ty
+isDictTy other = False
\end{code}
+
+---------------------------------------------------------------------
+ SynTy
+ ~~~~~
+
\begin{code}
mkSynTy syn_tycon tys
= ASSERT(isSynTyCon syn_tycon)
- SynTy syn_tycon tys (instantiateTauTy (zipEqual "mkSynTy" tyvars tys) body)
+ NoteTy (SynNote (TyConApp syn_tycon tys))
+ (substFlexiTy (zipVarEnv tyvars tys) body)
+ -- The "flexi" is needed so we can get a TcType from a synonym
where
(tyvars, body) = getSynTyConDefn syn_tycon
-\end{code}
-Tau stuff
-~~~~~~~~~
-\begin{code}
-isTauTy :: GenType t u -> Bool
-isTauTy (TyVarTy v) = True
-isTauTy (TyConTy _ _) = True
-isTauTy (AppTy a b) = isTauTy a && isTauTy b
-isTauTy (FunTy a b _) = isTauTy a && isTauTy b
-isTauTy (SynTy _ _ ty) = isTauTy ty
-isTauTy other = False
+isSynTy (NoteTy (SynNote _) _) = True
+isSynTy other = False
\end{code}
-Rho stuff
-~~~~~~~~~
-NB mkRhoTy and mkDictTy put in usageOmega, for now at least
+Notes on type synonyms
+~~~~~~~~~~~~~~~~~~~~~~
+The various "split" functions (splitFunTy, splitRhoTy, splitForAllTy) try
+to return type synonyms whereever possible. Thus
-\begin{code}
-mkDictTy :: Class -> GenType t u -> GenType t u
-mkDictTy clas ty = DictTy clas ty usageOmega
+ type Foo a = a -> a
-mkRhoTy :: [(Class, GenType t u)] -> GenType t u -> GenType t u
-mkRhoTy theta ty =
- foldr (\(c,t) r -> FunTy (DictTy c t usageOmega) r usageOmega) ty theta
+we want
+ splitFunTys (a -> Foo a) = ([a], Foo a)
+not ([a], a -> a)
+
+The reason is that we then get better (shorter) type signatures in
+interfaces. Notably this plays a role in tcTySigs in TcBinds.lhs.
-splitRhoTy :: GenType t u -> ([(Class,GenType t u)], GenType t u)
-splitRhoTy t =
- go t []
- where
- go (FunTy (DictTy c t _) r _) ts = go r ((c,t):ts)
- go (AppTy (AppTy (TyConTy tycon _) (DictTy c t _)) r) ts
- | isFunTyCon tycon
- = go r ((c,t):ts)
- go (SynTy _ _ t) ts = go t ts
- go t ts = (reverse ts, t)
-
-
-mkTheta :: [Type] -> ThetaType
- -- recover a ThetaType from the types of some dictionaries
-mkTheta dict_tys
- = map cvt dict_tys
- where
- cvt (DictTy clas ty _) = (clas, ty)
- cvt other = panic "Type.mkTheta" -- pprPanic "mkTheta:" (pprType PprDebug other)
-isDictTy (DictTy _ _ _) = True
-isDictTy (SynTy _ _ t) = isDictTy t
-isDictTy _ = False
-\end{code}
-Forall stuff
-~~~~~~~~~~~~
+---------------------------------------------------------------------
+ ForAllTy
+ ~~~~~~~~
+
\begin{code}
mkForAllTy = ForAllTy
-mkForAllTys :: [t] -> GenType t u -> GenType t u
+mkForAllTys :: [GenTyVar flexi] -> GenType flexi -> GenType flexi
mkForAllTys tyvars ty = foldr ForAllTy ty tyvars
-getForAllTy_maybe :: GenType t u -> Maybe (t,GenType t u)
-getForAllTy_maybe (SynTy _ _ t) = getForAllTy_maybe t
-getForAllTy_maybe (ForAllTy tyvar t) = Just(tyvar,t)
-getForAllTy_maybe _ = Nothing
-
-getForAllTyExpandingDicts_maybe :: Type -> Maybe (TyVar, Type)
-getForAllTyExpandingDicts_maybe (SynTy _ _ t) = getForAllTyExpandingDicts_maybe t
-getForAllTyExpandingDicts_maybe (ForAllTy tyvar t) = Just(tyvar,t)
-getForAllTyExpandingDicts_maybe ty@(DictTy _ _ _) = getForAllTyExpandingDicts_maybe (expandTy ty)
-getForAllTyExpandingDicts_maybe _ = Nothing
-
-splitForAllTy :: GenType t u-> ([t], GenType t u)
-splitForAllTy t = go t []
- where
- go (ForAllTy tv t) tvs = go t (tv:tvs)
- go (SynTy _ _ t) tvs = go t tvs
- go t tvs = (reverse tvs, t)
+splitForAllTy_maybe :: GenType flexi -> Maybe (GenTyVar flexi, GenType flexi)
+splitForAllTy_maybe (NoteTy _ ty) = splitForAllTy_maybe ty
+splitForAllTy_maybe (ForAllTy tyvar ty) = Just(tyvar, ty)
+splitForAllTy_maybe _ = Nothing
+
+isForAllTy :: GenType flexi -> Bool
+isForAllTy (NoteTy _ ty) = isForAllTy ty
+isForAllTy (ForAllTy tyvar ty) = True
+isForAllTy _ = False
+
+splitForAllTys :: GenType flexi -> ([GenTyVar flexi], GenType flexi)
+splitForAllTys ty = split ty ty []
+ where
+ split orig_ty (ForAllTy tv ty) tvs = split ty ty (tv:tvs)
+ split orig_ty (NoteTy _ ty) tvs = split orig_ty ty tvs
+ split orig_ty t tvs = (reverse tvs, orig_ty)
\end{code}
-\begin{code}
-mkForAllUsageTy :: u -> [u] -> GenType t u -> GenType t u
-mkForAllUsageTy = ForAllUsageTy
+@mkPiType@ makes a (->) type or a forall type, depending on whether
+it is given a type variable or a term variable.
-getForAllUsageTy :: GenType t u -> Maybe (u,[u],GenType t u)
-getForAllUsageTy (ForAllUsageTy uvar bounds t) = Just(uvar,bounds,t)
-getForAllUsageTy (SynTy _ _ t) = getForAllUsageTy t
-getForAllUsageTy _ = Nothing
+\begin{code}
+mkPiType :: IdOrTyVar -> Type -> Type -- The more polymorphic version doesn't work...
+mkPiType v ty | isId v = mkFunTy (idType v) ty
+ | otherwise = ForAllTy v ty
\end{code}
-Applied tycons (includes FunTyCons)
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
\begin{code}
-maybeAppTyCon
- :: GenType tyvar uvar
- -> Maybe (TyCon, -- the type constructor
- [GenType tyvar uvar]) -- types to which it is applied
-
-maybeAppTyCon ty
- = case (getTyCon_maybe app_ty) of
- Nothing -> Nothing
- Just tycon -> Just (tycon, arg_tys)
- where
- (app_ty, arg_tys) = splitAppTy ty
+applyTy :: GenType flexi -> GenType flexi -> GenType flexi
+applyTy (NoteTy _ fun) arg = applyTy fun arg
+applyTy (ForAllTy tv ty) arg = substTy (mkVarEnv [(tv,arg)]) ty
+applyTy other arg = panic "applyTy"
+applyTys :: GenType flexi -> [GenType flexi] -> GenType flexi
+applyTys fun_ty arg_tys
+ = go [] fun_ty arg_tys
+ where
+ go env ty [] = substTy (mkVarEnv env) ty
+ go env (NoteTy _ fun) args = go env fun args
+ go env (ForAllTy tv ty) (arg:args) = go ((tv,arg):env) ty args
+ go env other args = panic "applyTys"
+\end{code}
-getAppTyCon
- :: GenType tyvar uvar
- -> (TyCon, -- the type constructor
- [GenType tyvar uvar]) -- types to which it is applied
-getAppTyCon ty
- = case maybeAppTyCon ty of
- Just stuff -> stuff
-#ifdef DEBUG
- Nothing -> panic "Type.getAppTyCon" -- (ppr PprShowAll ty)
-#endif
+%************************************************************************
+%* *
+\subsection{Stuff to do with the source-language types}
+%* *
+%************************************************************************
+
+\begin{code}
+type RhoType = Type
+type TauType = Type
+type ThetaType = [(Class, [Type])]
+type SigmaType = Type
+\end{code}
+
+@isTauTy@ tests for nested for-alls.
+
+\begin{code}
+isTauTy :: GenType flexi -> Bool
+isTauTy (TyVarTy v) = True
+isTauTy (TyConApp _ tys) = all isTauTy tys
+isTauTy (AppTy a b) = isTauTy a && isTauTy b
+isTauTy (FunTy a b) = isTauTy a && isTauTy b
+isTauTy (NoteTy _ ty) = isTauTy ty
+isTauTy other = False
\end{code}
-Applied data tycons (give back constrs)
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
\begin{code}
-maybeAppDataTyCon
- :: GenType (GenTyVar any) uvar
- -> Maybe (TyCon, -- the type constructor
- [GenType (GenTyVar any) uvar], -- types to which it is applied
- [Id]) -- its family of data-constructors
-maybeAppDataTyConExpandingDicts, maybeAppSpecDataTyConExpandingDicts
- :: Type -> Maybe (TyCon, [Type], [Id])
-
-maybeAppDataTyCon ty = maybe_app_data_tycon (\x->x) ty
-maybeAppDataTyConExpandingDicts ty = maybe_app_data_tycon expandTy ty
-maybeAppSpecDataTyConExpandingDicts ty = maybe_app_data_tycon expandTy ty
-
-
-maybe_app_data_tycon expand ty
- = let
- expanded_ty = expand ty
- (app_ty, arg_tys) = splitAppTy expanded_ty
- in
- case (getTyCon_maybe app_ty) of
- Just tycon | --pprTrace "maybe_app:" (ppCat [ppr PprDebug (isDataTyCon tycon), ppr PprDebug (notArrowKind (typeKind expanded_ty))]) $
- isDataTyCon tycon &&
- notArrowKind (typeKind expanded_ty)
- -- Must be saturated for ty to be a data type
- -> Just (tycon, arg_tys, tyConDataCons tycon)
-
- other -> Nothing
-
-getAppDataTyCon, getAppSpecDataTyCon
- :: GenType (GenTyVar any) uvar
- -> (TyCon, -- the type constructor
- [GenType (GenTyVar any) uvar], -- types to which it is applied
- [Id]) -- its family of data-constructors
-getAppDataTyConExpandingDicts, getAppSpecDataTyConExpandingDicts
- :: Type -> (TyCon, [Type], [Id])
-
-getAppDataTyCon ty = get_app_data_tycon maybeAppDataTyCon ty
-getAppDataTyConExpandingDicts ty = --pprTrace "getAppDataTyConEx...:" (pprType PprDebug ty) $
- get_app_data_tycon maybeAppDataTyConExpandingDicts ty
-
--- these should work like the UniTyFuns.getUniDataSpecTyCon* things of old (ToDo)
-getAppSpecDataTyCon = getAppDataTyCon
-getAppSpecDataTyConExpandingDicts = getAppDataTyConExpandingDicts
-
-get_app_data_tycon maybe ty
- = case maybe ty of
- Just stuff -> stuff
-#ifdef DEBUG
- Nothing -> panic "Type.getAppDataTyCon"-- (pprGenType PprShowAll ty)
-#endif
-
-
-maybeBoxedPrimType :: Type -> Maybe (Id, Type)
-
-maybeBoxedPrimType ty
- = case (maybeAppDataTyCon ty) of -- Data type,
- Just (tycon, tys_applied, [data_con]) -- with exactly one constructor
- -> case (dataConArgTys data_con tys_applied) of
- [data_con_arg_ty] -- Applied to exactly one type,
- | isPrimType data_con_arg_ty -- which is primitive
- -> Just (data_con, data_con_arg_ty)
- other_cases -> Nothing
- other_cases -> Nothing
+mkRhoTy :: [(Class, [GenType flexi])] -> GenType flexi -> GenType flexi
+mkRhoTy theta ty = foldr (\(c,t) r -> FunTy (mkDictTy c t) r) ty theta
+
+splitRhoTy :: GenType flexi -> ([(Class, [GenType flexi])], GenType flexi)
+splitRhoTy ty = split ty ty []
+ where
+ split orig_ty (FunTy arg res) ts = case splitDictTy_maybe arg of
+ Just pair -> split res res (pair:ts)
+ Nothing -> (reverse ts, orig_ty)
+ split orig_ty (NoteTy _ ty) ts = split orig_ty ty ts
+ split orig_ty ty ts = (reverse ts, orig_ty)
\end{code}
+
+
\begin{code}
-splitSigmaTy :: GenType t u -> ([t], [(Class,GenType t u)], GenType t u)
+mkSigmaTy tyvars theta tau = mkForAllTys tyvars (mkRhoTy theta tau)
+
+splitSigmaTy :: GenType flexi -> ([GenTyVar flexi], [(Class, [GenType flexi])], GenType flexi)
splitSigmaTy ty =
(tyvars, theta, tau)
where
- (tyvars,rho) = splitForAllTy ty
+ (tyvars,rho) = splitForAllTys ty
(theta,tau) = splitRhoTy rho
-
-mkSigmaTy tyvars theta tau = mkForAllTys tyvars (mkRhoTy theta tau)
\end{code}
-Finding the kind of a type
-~~~~~~~~~~~~~~~~~~~~~~~~~~
+%************************************************************************
+%* *
+\subsection{Kinds and free variables}
+%* *
+%************************************************************************
+
+---------------------------------------------------------------------
+ Finding the kind of a type
+ ~~~~~~~~~~~~~~~~~~~~~~~~~~
\begin{code}
-typeKind :: GenType (GenTyVar any) u -> Kind
+-- typeKind is only ever used on Types, never Kinds
+-- If it were used on Kinds, the typeKind of FunTy would not be boxedTypeKind;
+-- yet at the type level functions are boxed even if neither argument nor
+-- result are boxed. This seems pretty fishy to me.
+
+typeKind :: GenType flexi -> Kind
typeKind (TyVarTy tyvar) = tyVarKind tyvar
-typeKind (TyConTy tycon usage) = tyConKind tycon
-typeKind (SynTy _ _ ty) = typeKind ty
-typeKind (FunTy fun arg _) = mkBoxedTypeKind
-typeKind (DictTy clas arg _) = mkBoxedTypeKind
-typeKind (AppTy fun arg) = resultKind (typeKind fun)
-typeKind (ForAllTy _ _) = mkBoxedTypeKind
-typeKind (ForAllUsageTy _ _ _) = mkBoxedTypeKind
+typeKind (TyConApp tycon tys) = foldr (\_ k -> funResultTy k) (tyConKind tycon) tys
+typeKind (NoteTy _ ty) = typeKind ty
+typeKind (FunTy fun arg) = boxedTypeKind
+typeKind (AppTy fun arg) = funResultTy (typeKind fun)
+typeKind (ForAllTy _ _) = boxedTypeKind
\end{code}
-Free variables of a type
-~~~~~~~~~~~~~~~~~~~~~~~~
+---------------------------------------------------------------------
+ Free variables of a type
+ ~~~~~~~~~~~~~~~~~~~~~~~~
\begin{code}
-tyVarsOfType :: GenType (GenTyVar flexi) uvar -> GenTyVarSet flexi
-
-tyVarsOfType (TyVarTy tv) = unitTyVarSet tv
-tyVarsOfType (TyConTy tycon usage) = emptyTyVarSet
-tyVarsOfType (SynTy _ tys ty) = tyVarsOfTypes tys
-tyVarsOfType (FunTy arg res _) = tyVarsOfType arg `unionTyVarSets` tyVarsOfType res
-tyVarsOfType (AppTy fun arg) = tyVarsOfType fun `unionTyVarSets` tyVarsOfType arg
-tyVarsOfType (DictTy clas ty _) = tyVarsOfType ty
-tyVarsOfType (ForAllTy tyvar ty) = tyVarsOfType ty `minusTyVarSet` unitTyVarSet tyvar
-tyVarsOfType (ForAllUsageTy _ _ ty) = tyVarsOfType ty
-
-tyVarsOfTypes :: [GenType (GenTyVar flexi) uvar] -> GenTyVarSet flexi
-tyVarsOfTypes tys = foldr (unionTyVarSets.tyVarsOfType) emptyTyVarSet tys
+tyVarsOfType :: GenType flexi -> GenTyVarSet flexi
+
+tyVarsOfType (TyVarTy tv) = unitVarSet tv
+tyVarsOfType (TyConApp tycon tys) = tyVarsOfTypes tys
+tyVarsOfType (NoteTy (FTVNote tvs) ty2) = tvs
+tyVarsOfType (NoteTy (SynNote ty1) ty2) = tyVarsOfType ty1
+tyVarsOfType (FunTy arg res) = tyVarsOfType arg `unionVarSet` tyVarsOfType res
+tyVarsOfType (AppTy fun arg) = tyVarsOfType fun `unionVarSet` tyVarsOfType arg
+tyVarsOfType (ForAllTy tyvar ty) = tyVarsOfType ty `minusVarSet` unitVarSet tyvar
+
+tyVarsOfTypes :: [GenType flexi] -> GenTyVarSet flexi
+tyVarsOfTypes tys = foldr (unionVarSet.tyVarsOfType) emptyVarSet tys
+
+-- Add a Note with the free tyvars to the top of the type
+addFreeTyVars :: GenType flexi -> GenType flexi
+addFreeTyVars ty@(NoteTy (FTVNote _) _) = ty
+addFreeTyVars ty = NoteTy (FTVNote (tyVarsOfType ty)) ty
+
+-- Find the free names of a type, including the type constructors and classes it mentions
+namesOfType :: GenType flexi -> NameSet
+namesOfType (TyVarTy tv) = unitNameSet (getName tv)
+namesOfType (TyConApp tycon tys) = unitNameSet (getName tycon) `unionNameSets`
+ namesOfTypes tys
+namesOfType (NoteTy (SynNote ty1) ty2) = namesOfType ty1
+namesOfType (NoteTy other_note ty2) = namesOfType ty2
+namesOfType (FunTy arg res) = namesOfType arg `unionNameSets` namesOfType res
+namesOfType (AppTy fun arg) = namesOfType fun `unionNameSets` namesOfType arg
+namesOfType (ForAllTy tyvar ty) = namesOfType ty `minusNameSet` unitNameSet (getName tyvar)
+
+namesOfTypes tys = foldr (unionNameSets . namesOfType) emptyNameSet tys
\end{code}
-Instantiating a type
-~~~~~~~~~~~~~~~~~~~~
-\begin{code}
-applyTy :: GenType (GenTyVar flexi) uvar
- -> GenType (GenTyVar flexi) uvar
- -> GenType (GenTyVar flexi) uvar
+%************************************************************************
+%* *
+\subsection{Instantiating a type}
+%* *
+%************************************************************************
-applyTy (SynTy _ _ fun) arg = applyTy fun arg
-applyTy (ForAllTy tv ty) arg = instantiateTy [(tv,arg)] ty
-applyTy other arg = panic "applyTy"
-\end{code}
+@substTy@ applies a substitution to a type. It deals correctly with name capture.
\begin{code}
-instantiateTy :: [(GenTyVar flexi, GenType (GenTyVar flexi) uvar)]
- -> GenType (GenTyVar flexi) uvar
- -> GenType (GenTyVar flexi) uvar
-
-instantiateTauTy :: Eq tv =>
- [(tv, GenType tv' u)]
- -> GenType tv u
- -> GenType tv' u
-
-applyTypeEnvToTy :: TyVarEnv Type -> SigmaType -> SigmaType
+substTy :: GenTyVarSubst flexi -> GenType flexi -> GenType flexi
+substTy tenv ty = subst_ty tenv tset ty
+ where
+ tset = foldVarEnv (unionVarSet . tyVarsOfType) emptyVarSet tenv
+ -- If ty doesn't have any for-alls, then this thunk
+ -- will never be evaluated
+\end{code}
--- instantiateTauTy works only (a) on types with no ForAlls,
--- and when (b) all the type variables are being instantiated
--- In return it is more polymorphic than instantiateTy
+@fullSubstTy@ is like @substTy@ except that it needs to be given a set
+of in-scope type variables. In exchange it's a bit more efficient, at least
+if you happen to have that set lying around.
-instant_help ty lookup_tv deflt_tv choose_tycon
- if_usage if_forall bound_forall_tv_BAD deflt_forall_tv
- = go ty
- where
- go (TyVarTy tv) = case (lookup_tv tv) of
- Nothing -> deflt_tv tv
- Just ty -> ty
- go ty@(TyConTy tycon usage) = choose_tycon ty tycon usage
- go (SynTy tycon tys ty) = SynTy tycon (map go tys) (go ty)
- go (FunTy arg res usage) = FunTy (go arg) (go res) usage
- go (AppTy fun arg) = AppTy (go fun) (go arg)
- go (DictTy clas ty usage) = DictTy clas (go ty) usage
- go (ForAllUsageTy uvar bds ty) = if_usage $
- ForAllUsageTy uvar bds (go ty)
- go (ForAllTy tv ty) = if_forall $
- (if (bound_forall_tv_BAD && maybeToBool (lookup_tv tv)) then
- trace "instantiateTy: unexpected forall hit"
- else
- \x->x) ForAllTy (deflt_forall_tv tv) (go ty)
-
-instantiateTy tenv ty
- = instant_help ty lookup_tv deflt_tv choose_tycon
- if_usage if_forall bound_forall_tv_BAD deflt_forall_tv
- where
- lookup_tv tv = case [ty | (tv',ty) <- tenv, tv == tv'] of
- [] -> Nothing
- [ty] -> Just ty
- _ -> panic "instantiateTy:lookup_tv"
-
- deflt_tv tv = TyVarTy tv
- choose_tycon ty _ _ = ty
- if_usage ty = ty
- if_forall ty = ty
- bound_forall_tv_BAD = True
- deflt_forall_tv tv = tv
-
-instantiateTauTy tenv ty
- = instant_help ty lookup_tv deflt_tv choose_tycon
- if_usage if_forall bound_forall_tv_BAD deflt_forall_tv
+\begin{code}
+fullSubstTy :: GenTyVarSubst flexi -- Substitution to apply
+ -> GenTyVarSet flexi -- Superset of the free tyvars of
+ -- the range of the tyvar env
+ -> GenType flexi -> GenType flexi
+-- ASSUMPTION: The substitution is idempotent.
+-- Equivalently: No tyvar is both in scope, and in the domain of the substitution.
+fullSubstTy tenv tset ty | isEmptyVarEnv tenv = ty
+ | otherwise = subst_ty tenv tset ty
+
+-- subst_ty does the business
+subst_ty tenv tset ty
+ = go ty
where
- lookup_tv tv = case [ty | (tv',ty) <- tenv, tv == tv'] of
- [] -> Nothing
- [ty] -> Just ty
- _ -> panic "instantiateTauTy:lookup_tv"
-
- deflt_tv tv = panic "instantiateTauTy"
- choose_tycon _ tycon usage = TyConTy tycon usage
- if_usage ty = panic "instantiateTauTy:ForAllUsageTy"
- if_forall ty = panic "instantiateTauTy:ForAllTy"
- bound_forall_tv_BAD = panic "instantiateTauTy:bound_forall_tv"
- deflt_forall_tv tv = panic "instantiateTauTy:deflt_forall_tv"
-
-
--- applyTypeEnv applies a type environment to a type.
--- It can handle shadowing; for example:
--- f = /\ t1 t2 -> \ d ->
--- letrec f' = /\ t1 -> \x -> ...(f' t1 x')...
--- in f' t1
--- Here, when we clone t1 to t1', say, we'll come across shadowing
--- when applying the clone environment to the type of f'.
---
--- As a sanity check, we should also check that name capture
--- doesn't occur, but that means keeping track of the free variables of the
--- range of the TyVarEnv, which I don't do just yet.
---
--- We don't use instant_help because we need to carry in the environment
-
-applyTypeEnvToTy tenv ty
- = go tenv ty
+ go (TyConApp tc tys) = TyConApp tc (map go tys)
+ go (NoteTy (SynNote ty1) ty2) = NoteTy (SynNote (go ty1)) (go ty2)
+ go (NoteTy (FTVNote _) ty2) = go ty2 -- Discard the free tyvar note
+ go (FunTy arg res) = FunTy (go arg) (go res)
+ go (AppTy fun arg) = mkAppTy (go fun) (go arg)
+ go ty@(TyVarTy tv) = case (lookupVarEnv tenv tv) of
+ Nothing -> ty
+ Just ty' -> ty'
+ go (ForAllTy tv ty) = case substTyVar tenv tset tv of
+ (tenv', tset', tv') -> ForAllTy tv' (subst_ty tenv' tset' ty)
+
+substTyVar :: GenTyVarSubst flexi -> GenTyVarSet flexi -> GenTyVar flexi
+ -> (GenTyVarSubst flexi, GenTyVarSet flexi, GenTyVar flexi)
+
+substTyVar tenv tset tv
+ | not (tv `elemVarSet` tset) -- No need to clone
+ -- But must delete from substitution
+ = (tenv `delVarEnv` tv, tset `extendVarSet` tv, tv)
+
+ | otherwise -- The forall's variable is in scope so
+ -- we'd better rename it away from the in-scope variables
+ -- Extending the substitution to do this renaming also
+ -- has the (correct) effect of discarding any existing
+ -- substitution for that variable
+ = (extendVarEnv tenv tv (TyVarTy tv'), tset `extendVarSet` tv', tv')
where
- go tenv ty@(TyVarTy tv) = case (lookupTyVarEnv tenv tv) of
- Nothing -> ty
- Just ty -> ty
- go tenv ty@(TyConTy tycon usage) = ty
- go tenv (SynTy tycon tys ty) = SynTy tycon (map (go tenv) tys) (go tenv ty)
- go tenv (FunTy arg res usage) = FunTy (go tenv arg) (go tenv res) usage
- go tenv (AppTy fun arg) = AppTy (go tenv fun) (go tenv arg)
- go tenv (DictTy clas ty usage) = DictTy clas (go tenv ty) usage
- go tenv (ForAllUsageTy uvar bds ty) = ForAllUsageTy uvar bds (go tenv ty)
- go tenv (ForAllTy tv ty) = ForAllTy tv (go tenv' ty)
- where
- tenv' = case lookupTyVarEnv tenv tv of
- Nothing -> tenv
- Just _ -> delFromTyVarEnv tenv tv
+ tv' = uniqAway tset tv
\end{code}
-\begin{code}
-instantiateUsage
- :: Ord3 u => [(u, GenType t u')] -> GenType t u -> GenType t u'
-
-instantiateUsage = panic "instantiateUsage: not implemented"
-\end{code}
+@substFlexiTy@ applies a substitution to a (GenType flexi1) returning
+a (GenType flexi2). Note that we convert from one flexi status to another.
-At present there are no unboxed non-primitive types, so
-isUnboxedType is the same as isPrimType.
+Two assumptions, for (substFlexiTy env ty)
+ (a) the substitution, env, must cover all free tyvars of the type, ty
+ (b) the free vars of the range of the substitution must be
+ different than any of the forall'd variables in the type, ty
-We're a bit cavalier about finding out whether something is
-primitive/unboxed or not. Rather than deal with the type
-arguemnts we just zoom into the function part of the type.
-That is, given (T a) we just recurse into the "T" part,
-ignoring "a".
+The latter assumption is reasonable because, after all, ty has a different
+type to the range of the substitution.
\begin{code}
-isPrimType, isUnboxedType :: Type -> Bool
-
-isPrimType (AppTy ty _) = isPrimType ty
-isPrimType (SynTy _ _ ty) = isPrimType ty
-isPrimType (TyConTy tycon _) = case maybeNewTyCon tycon of
- Just (tyvars, ty) -> isPrimType ty
- Nothing -> isPrimTyCon tycon
-
-isPrimType _ = False
-
-isUnboxedType = isPrimType
+substFlexiTy :: GenTyVarSubst flexi2 -> GenType flexi1 -> GenType flexi2
+substFlexiTy env ty = go ty
+ where
+ go (TyVarTy tv) = case lookupVarEnv env tv of
+ Just ty -> ty
+ Nothing -> pprPanic "substFlexiTy" (ppr tv)
+ go (TyConApp tc tys) = TyConApp tc (map go tys)
+ go (NoteTy (SynNote ty1) ty2) = NoteTy (SynNote (go ty1)) (go ty2)
+ go (NoteTy (FTVNote _) ty2) = go ty2 -- Discard free tyvar note
+ go (FunTy arg res) = FunTy (go arg) (go res)
+ go (AppTy fun arg) = mkAppTy (go fun) (go arg)
+ go (ForAllTy tv ty) = ForAllTy tv' (substFlexiTy env' ty)
+ where
+ tv' = removeTyVarFlexi tv
+ env' = extendVarEnv env tv (TyVarTy tv')
+
+substFlexiTheta :: GenTyVarSubst flexi2 -> [(Class, [GenType flexi1])]
+ -> [(Class, [GenType flexi2])]
+substFlexiTheta env theta = [(clas, map (substFlexiTy env) tys) | (clas,tys) <- theta]
\end{code}
-This is *not* right: it is a placeholder (ToDo 96/03 WDP):
-\begin{code}
-typePrimRep :: Type -> PrimRep
-
-typePrimRep (SynTy _ _ ty) = typePrimRep ty
-typePrimRep (AppTy ty _) = typePrimRep ty
-typePrimRep (TyConTy tc _)
- | isPrimTyCon tc = case (assocMaybe tc_primrep_list (uniqueOf tc)) of
- Just xx -> xx
- Nothing -> panic "Type.typePrimRep" -- pprPanic "typePrimRep:" (pprTyCon PprDebug tc)
-
- | otherwise = case maybeNewTyCon tc of
- Just (tyvars, ty) | isPrimType ty -> typePrimRep ty
- _ -> PtrRep -- Default
-
-typePrimRep _ = PtrRep -- the "default"
-
-tc_primrep_list
- = [(addrPrimTyConKey, AddrRep)
- ,(arrayPrimTyConKey, ArrayRep)
- ,(byteArrayPrimTyConKey, ByteArrayRep)
- ,(charPrimTyConKey, CharRep)
- ,(doublePrimTyConKey, DoubleRep)
- ,(floatPrimTyConKey, FloatRep)
- ,(foreignObjPrimTyConKey, ForeignObjRep)
- ,(intPrimTyConKey, IntRep)
- ,(mutableArrayPrimTyConKey, ArrayRep)
- ,(mutableByteArrayPrimTyConKey, ByteArrayRep)
- ,(stablePtrPrimTyConKey, StablePtrRep)
- ,(statePrimTyConKey, VoidRep)
- ,(synchVarPrimTyConKey, PtrRep)
- ,(voidTyConKey, VoidRep)
- ,(wordPrimTyConKey, WordRep)
- ]
-\end{code}
%************************************************************************
%* *
-\subsection{Matching on types}
+\subsection{Boxedness and liftedness}
%* *
%************************************************************************
-Matching is a {\em unidirectional} process, matching a type against a
-template (which is just a type with type variables in it). The
-matcher assumes that there are no repeated type variables in the
-template, so that it simply returns a mapping of type variables to
-types. It also fails on nested foralls.
-
-@matchTys@ matches corresponding elements of a list of templates and
-types.
-
\begin{code}
-matchTy :: GenType t1 u1 -- Template
- -> GenType t2 u2 -- Proposed instance of template
- -> Maybe [(t1,GenType t2 u2)] -- Matching substitution
-
-
-matchTys :: [GenType t1 u1] -- Templates
- -> [GenType t2 u2] -- Proposed instance of template
- -> Maybe ([(t1,GenType t2 u2)],-- Matching substitution
- [GenType t2 u2]) -- Left over instance types
-
-matchTy ty1 ty2 = match ty1 ty2 (\s -> Just s) []
-matchTys tys1 tys2 = go [] tys1 tys2
- where
- go s [] tys2 = Just (s,tys2)
- go s (ty1:tys1) [] = trace "matchTys" Nothing
- go s (ty1:tys1) (ty2:tys2) = match ty1 ty2 (\s' -> go s' tys1 tys2) s
-\end{code}
-
-@match@ is the main function.
-
-\begin{code}
-match :: GenType t1 u1 -> GenType t2 u2 -- Current match pair
- -> ([(t1, GenType t2 u2)] -> Maybe result) -- Continuation
- -> [(t1, GenType t2 u2)] -- Current substitution
- -> Maybe result
-
-match (TyVarTy v) ty k = \s -> k ((v,ty) : s)
-match (FunTy fun1 arg1 _) (FunTy fun2 arg2 _) k = match fun1 fun2 (match arg1 arg2 k)
-match (AppTy fun1 arg1) (AppTy fun2 arg2) k = match fun1 fun2 (match arg1 arg2 k)
-match (TyConTy con1 _) (TyConTy con2 _) k | con1 == con2 = k
-match (DictTy clas1 ty1 _) (DictTy clas2 ty2 _) k | clas1 == clas2 = match ty1 ty2 k
-match (SynTy _ _ ty1) ty2 k = match ty1 ty2 k
-match ty1 (SynTy _ _ ty2) k = match ty1 ty2 k
-
- -- With type synonyms, we have to be careful for the exact
- -- same reasons as in the unifier. Please see the
- -- considerable commentary there before changing anything
- -- here! (WDP 95/05)
-
--- Catch-all fails
-match _ _ _ = \s -> Nothing
+isUnboxedType :: GenType flexi -> Bool
+isUnboxedType ty = not (isFollowableRep (typePrimRep ty))
+
+isUnLiftedType :: GenType flexi -> Bool
+isUnLiftedType ty = case splitTyConApp_maybe ty of
+ Just (tc, ty_args) -> isUnLiftedTyCon tc
+ other -> False
+
+isUnboxedTupleType :: GenType flexi -> Bool
+isUnboxedTupleType ty = case splitTyConApp_maybe ty of
+ Just (tc, ty_args) -> isUnboxedTupleTyCon tc
+ other -> False
+
+isAlgType :: GenType flexi -> Bool
+isAlgType ty = case splitTyConApp_maybe ty of
+ Just (tc, ty_args) -> isAlgTyCon tc
+ other -> False
+
+typePrimRep :: GenType flexi -> PrimRep
+typePrimRep ty = case splitTyConApp_maybe ty of
+ Just (tc, ty_args) -> tyConPrimRep tc
+ other -> PtrRep
\end{code}
%************************************************************************
%* *
%************************************************************************
-The functions eqSimpleTy and eqSimpleTheta are polymorphic in the types t
-and u, but ONLY WORK FOR SIMPLE TYPES (ie. they panic if they see
-dictionaries or polymorphic types). The function eqTy has a more
-specific type, but does the `right thing' for all types.
+For the moment at least, type comparisons don't work if
+there are embedded for-alls.
\begin{code}
-eqSimpleTheta :: (Eq t,Eq u) =>
- [(Class,GenType t u)] -> [(Class,GenType t u)] -> Bool
+instance Eq (GenType flexi) where
+ ty1 == ty2 = case ty1 `cmpTy` ty2 of { EQ -> True; other -> False }
-eqSimpleTheta [] [] = True
-eqSimpleTheta ((c1,t1):th1) ((c2,t2):th2) =
- c1==c2 && t1 `eqSimpleTy` t2 && th1 `eqSimpleTheta` th2
-eqSimpleTheta other1 other2 = False
-\end{code}
+instance Ord (GenType flexi) where
+ compare ty1 ty2 = cmpTy ty1 ty2
-\begin{code}
-eqSimpleTy :: (Eq t,Eq u) => GenType t u -> GenType t u -> Bool
-
-(TyVarTy tv1) `eqSimpleTy` (TyVarTy tv2) =
- tv1 == tv2
-(AppTy f1 a1) `eqSimpleTy` (AppTy f2 a2) =
- f1 `eqSimpleTy` f2 && a1 `eqSimpleTy` a2
-(TyConTy tc1 u1) `eqSimpleTy` (TyConTy tc2 u2) =
- tc1 == tc2 --ToDo: later: && u1 == u2
-
-(FunTy f1 a1 u1) `eqSimpleTy` (FunTy f2 a2 u2) =
- f1 `eqSimpleTy` f2 && a1 `eqSimpleTy` a2 && u1 == u2
-(FunTy f1 a1 u1) `eqSimpleTy` t2 =
- -- Expand t1 just in case t2 matches that version
- (AppTy (AppTy (TyConTy mkFunTyCon u1) f1) a1) `eqSimpleTy` t2
-t1 `eqSimpleTy` (FunTy f2 a2 u2) =
- -- Expand t2 just in case t1 matches that version
- t1 `eqSimpleTy` (AppTy (AppTy (TyConTy mkFunTyCon u2) f2) a2)
-
-(SynTy tc1 ts1 t1) `eqSimpleTy` (SynTy tc2 ts2 t2) =
- (tc1 == tc2 && and (zipWith eqSimpleTy ts1 ts2) && length ts1 == length ts2)
- || t1 `eqSimpleTy` t2
-(SynTy _ _ t1) `eqSimpleTy` t2 =
- t1 `eqSimpleTy` t2 -- Expand the abbrevation and try again
-t1 `eqSimpleTy` (SynTy _ _ t2) =
- t1 `eqSimpleTy` t2 -- Expand the abbrevation and try again
-
-(DictTy _ _ _) `eqSimpleTy` _ = panic "eqSimpleTy: got DictTy"
-_ `eqSimpleTy` (DictTy _ _ _) = panic "eqSimpleTy: got DictTy"
-
-(ForAllTy _ _) `eqSimpleTy` _ = panic "eqSimpleTy: got ForAllTy"
-_ `eqSimpleTy` (ForAllTy _ _) = panic "eqSimpleTy: got ForAllTy"
-
-(ForAllUsageTy _ _ _) `eqSimpleTy` _ = panic "eqSimpleTy: got ForAllUsageTy"
-_ `eqSimpleTy` (ForAllUsageTy _ _ _) = panic "eqSimpleTy: got ForAllUsageTy"
-
-_ `eqSimpleTy` _ = False
+cmpTy :: GenType flexi -> GenType flexi -> Ordering
+cmpTy ty1 ty2
+ = cmp emptyVarEnv ty1 ty2
+ where
+ -- The "env" maps type variables in ty1 to type variables in ty2
+ -- So when comparing for-alls.. (forall tv1 . t1) (forall tv2 . t2)
+ -- we in effect substitute tv2 for tv1 in t1 before continuing
+ lookup env tv1 = case lookupVarEnv env tv1 of
+ Just tv2 -> tv2
+ Nothing -> tv1
+
+ -- Get rid of NoteTy
+ cmp env (NoteTy _ ty1) ty2 = cmp env ty1 ty2
+ cmp env ty1 (NoteTy _ ty2) = cmp env ty1 ty2
+
+ -- Deal with equal constructors
+ cmp env (TyVarTy tv1) (TyVarTy tv2) = lookup env tv1 `compare` tv2
+ cmp env (AppTy f1 a1) (AppTy f2 a2) = cmp env f1 f2 `thenCmp` cmp env a1 a2
+ cmp env (FunTy f1 a1) (FunTy f2 a2) = cmp env f1 f2 `thenCmp` cmp env a1 a2
+ cmp env (TyConApp tc1 tys1) (TyConApp tc2 tys2) = (tc1 `compare` tc2) `thenCmp` (cmps env tys1 tys2)
+ cmp env (ForAllTy tv1 t1) (ForAllTy tv2 t2) = cmp (extendVarEnv env tv1 tv2) t1 t2
+
+ -- Deal with the rest: TyVarTy < AppTy < FunTy < TyConApp < ForAllTy
+ cmp env (AppTy _ _) (TyVarTy _) = GT
+
+ cmp env (FunTy _ _) (TyVarTy _) = GT
+ cmp env (FunTy _ _) (AppTy _ _) = GT
+
+ cmp env (TyConApp _ _) (TyVarTy _) = GT
+ cmp env (TyConApp _ _) (AppTy _ _) = GT
+ cmp env (TyConApp _ _) (FunTy _ _) = GT
+
+ cmp env (ForAllTy _ _) other = GT
+
+ cmp env _ _ = LT
+
+ cmps env [] [] = EQ
+ cmps env (t:ts) [] = GT
+ cmps env [] (t:ts) = LT
+ cmps env (t1:t1s) (t2:t2s) = cmp env t1 t2 `thenCmp` cmps env t1s t2s
\end{code}
-Types are ordered so we can sort on types in the renamer etc. DNT: Since
-this class is also used in CoreLint and other such places, we DO expand out
-Fun/Syn/Dict types (if necessary).
-\begin{code}
-eqTy :: Type -> Type -> Bool
-eqTy t1 t2 =
- eq nullTyVarEnv nullUVarEnv t1 t2
- where
- eq tve uve (TyVarTy tv1) (TyVarTy tv2) =
- tv1 == tv2 ||
- case (lookupTyVarEnv tve tv1) of
- Just tv -> tv == tv2
- Nothing -> False
- eq tve uve (AppTy f1 a1) (AppTy f2 a2) =
- eq tve uve f1 f2 && eq tve uve a1 a2
- eq tve uve (TyConTy tc1 u1) (TyConTy tc2 u2) =
- tc1 == tc2 -- ToDo: LATER: && eqUsage uve u1 u2
-
- eq tve uve (FunTy f1 a1 u1) (FunTy f2 a2 u2) =
- eq tve uve f1 f2 && eq tve uve a1 a2 && eqUsage uve u1 u2
- eq tve uve (FunTy f1 a1 u1) t2 =
- -- Expand t1 just in case t2 matches that version
- eq tve uve (AppTy (AppTy (TyConTy mkFunTyCon u1) f1) a1) t2
- eq tve uve t1 (FunTy f2 a2 u2) =
- -- Expand t2 just in case t1 matches that version
- eq tve uve t1 (AppTy (AppTy (TyConTy mkFunTyCon u2) f2) a2)
-
- eq tve uve (DictTy c1 t1 u1) (DictTy c2 t2 u2)
- | c1 == c2
- = eq tve uve t1 t2 && eqUsage uve u1 u2
- -- NB we use a guard for c1==c2 so that if they aren't equal we
- -- fall through into expanding the type. Why? Because brain-dead
- -- people might write
- -- class Foo a => Baz a where {}
- -- and that means that a Foo dictionary and a Baz dictionary are identical
- -- Sigh. Let's hope we don't spend too much time in here!
-
- eq tve uve t1@(DictTy _ _ _) t2 =
- eq tve uve (expandTy t1) t2 -- Expand the dictionary and try again
- eq tve uve t1 t2@(DictTy _ _ _) =
- eq tve uve t1 (expandTy t2) -- Expand the dictionary and try again
-
- eq tve uve (SynTy tc1 ts1 t1) (SynTy tc2 ts2 t2) =
- (tc1 == tc2 && and (zipWith (eq tve uve) ts1 ts2) && length ts1 == length ts2)
- || eq tve uve t1 t2
- eq tve uve (SynTy _ _ t1) t2 =
- eq tve uve t1 t2 -- Expand the abbrevation and try again
- eq tve uve t1 (SynTy _ _ t2) =
- eq tve uve t1 t2 -- Expand the abbrevation and try again
-
- eq tve uve (ForAllTy tv1 t1) (ForAllTy tv2 t2) =
- eq (addOneToTyVarEnv tve tv1 tv2) uve t1 t2
- eq tve uve (ForAllUsageTy u1 b1 t1) (ForAllUsageTy u2 b2 t2) =
- eqBounds uve b1 b2 && eq tve (addOneToUVarEnv uve u1 u2) t1 t2
-
- eq _ _ _ _ = False
-
- eqBounds uve [] [] = True
- eqBounds uve (u1:b1) (u2:b2) = eqUVar uve u1 u2 && eqBounds uve b1 b2
- eqBounds uve _ _ = False
+%************************************************************************
+%* *
+\subsection{Grime}
+%* *
+%************************************************************************
+
+
+
+\begin{code}
+showTypeCategory :: Type -> Char
+ {-
+ {C,I,F,D} char, int, float, double
+ T tuple
+ S other single-constructor type
+ {c,i,f,d} unboxed ditto
+ t *unpacked* tuple
+ s *unpacked" single-cons...
+
+ v void#
+ a primitive array
+
+ E enumeration type
+ + dictionary, unless it's a ...
+ L List
+ > function
+ M other (multi-constructor) data-con type
+ . other type
+ - reserved for others to mark as "uninteresting"
+ -}
+showTypeCategory ty
+ = if isDictTy ty
+ then '+'
+ else
+ case splitTyConApp_maybe ty of
+ Nothing -> if maybeToBool (splitFunTy_maybe ty)
+ then '>'
+ else '.'
+
+ Just (tycon, _) ->
+ let utc = getUnique tycon in
+ if utc == charDataConKey then 'C'
+ else if utc == intDataConKey then 'I'
+ else if utc == floatDataConKey then 'F'
+ else if utc == doubleDataConKey then 'D'
+ else if utc == integerDataConKey then 'J'
+ else if utc == charPrimTyConKey then 'c'
+ else if (utc == intPrimTyConKey || utc == wordPrimTyConKey
+ || utc == addrPrimTyConKey) then 'i'
+ else if utc == floatPrimTyConKey then 'f'
+ else if utc == doublePrimTyConKey then 'd'
+ else if isPrimTyCon tycon {- array, we hope -} then 'A'
+ else if isEnumerationTyCon tycon then 'E'
+ else if isTupleTyCon tycon then 'T'
+ else if maybeToBool (maybeTyConSingleCon tycon) then 'S'
+ else if utc == listTyConKey then 'L'
+ else 'M' -- oh, well...
\end{code}