Type,
Kind, TyVarSubst,
- superKind, superBoxity, -- :: SuperKind
-
- boxedKind, -- :: Kind :: BX
- anyBoxKind, -- :: Kind :: BX
- typeCon, -- :: KindCon :: BX -> KX
- anyBoxCon, -- :: KindCon :: BX
-
- boxedTypeKind, unboxedTypeKind, openTypeKind, -- Kind :: superKind
-
- mkArrowKind, mkArrowKinds, -- mentioned below: hasMoreBoxityInfo,
+ superKind, superBoxity, -- KX and BX respectively
+ boxedBoxity, unboxedBoxity, -- :: BX
+ openKindCon, -- :: KX
+ typeCon, -- :: BX -> KX
+ boxedTypeKind, unboxedTypeKind, openTypeKind, -- :: KX
+ mkArrowKind, mkArrowKinds, -- :: KX -> KX -> KX
funTyCon,
-- exports from this module:
- hasMoreBoxityInfo,
+ hasMoreBoxityInfo, defaultKind,
mkTyVarTy, mkTyVarTys, getTyVar, getTyVar_maybe, isTyVarTy,
mkAppTy, mkAppTys, splitAppTy, splitAppTys, splitAppTy_maybe,
- mkFunTy, mkFunTys, splitFunTy_maybe, splitFunTys, splitFunTysN,
+ mkFunTy, mkFunTys, splitFunTy, splitFunTy_maybe, splitFunTys, splitFunTysN,
funResultTy, funArgTy, zipFunTys,
mkTyConApp, mkTyConTy, splitTyConApp_maybe,
splitAlgTyConApp_maybe, splitAlgTyConApp,
- mkDictTy, splitDictTy_maybe, isDictTy,
- mkSynTy, isSynTy, deNoteType, repType, splitNewType_maybe,
+ -- Predicates and the like
+ mkDictTy, mkDictTys, mkPredTy, splitPredTy_maybe,
+ splitDictTy_maybe, isDictTy, predRepTy,
+
+ mkSynTy, isSynTy, deNoteType,
+
+ repType, splitRepFunTys, splitNewType_maybe, typePrimRep,
UsageAnn(..), mkUsgTy, isUsgTy{- dont use -}, isNotUsgTy, splitUsgTy, unUsgTy, tyUsg,
- mkUsForAllTy, mkUsForAllTys, splitUsForAllTys, substUsTy,
+ mkUsForAllTy, mkUsForAllTys, splitUsForAllTys, substUsTy,
mkForAllTy, mkForAllTys, splitForAllTy_maybe, splitForAllTys,
- isForAllTy, applyTy, applyTys, mkPiType,
+ applyTy, applyTys, hoistForAllTys,
- TauType, RhoType, SigmaType, ThetaType,
- isTauTy,
- mkRhoTy, splitRhoTy,
- mkSigmaTy, splitSigmaTy,
+ TauType, RhoType, SigmaType, PredType(..), ThetaType,
+ ClassPred, ClassContext, mkClassPred,
+ getClassTys_maybe, ipName_maybe, classesToPreds, classesOfPreds,
+ isTauTy, mkRhoTy, splitRhoTy,
+ mkSigmaTy, isSigmaTy, splitSigmaTy,
+ getDFunTyKey,
-- Lifting and boxity
isUnLiftedType, isUnboxedType, isUnboxedTupleType, isAlgType, isDataType, isNewType,
- typePrimRep,
-- Free variables
- tyVarsOfType, tyVarsOfTypes, namesOfType, typeKind,
- addFreeTyVars,
+ tyVarsOfType, tyVarsOfTypes, tyVarsOfPred, tyVarsOfTheta,
+ namesOfType, typeKind, addFreeTyVars,
-- Tidying up for printing
tidyType, tidyTypes,
-- Other imports:
-import {-# SOURCE #-} DataCon( DataCon, dataConType )
+import {-# SOURCE #-} DataCon( DataCon, dataConRepType )
import {-# SOURCE #-} PprType( pprType ) -- Only called in debug messages
import {-# SOURCE #-} Subst ( mkTyVarSubst, substTy )
-- friends:
-import Var ( TyVar, IdOrTyVar, UVar,
+import Var ( TyVar, Var, UVar,
tyVarKind, tyVarName, setTyVarName, isId, idType,
)
import VarEnv
import VarSet
-import Name ( NamedThing(..), mkLocalName, tidyOccName,
- )
+import Name ( Name, NamedThing(..), OccName, mkLocalName, tidyOccName )
import NameSet
-import Class ( classTyCon, Class )
+import Class ( classTyCon, Class, ClassPred, ClassContext )
import TyCon ( TyCon,
isUnboxedTupleTyCon, isUnLiftedTyCon,
- isFunTyCon, isDataTyCon, isNewTyCon,
+ isFunTyCon, isDataTyCon, isNewTyCon, newTyConRep,
isAlgTyCon, isSynTyCon, tyConArity,
tyConKind, tyConDataCons, getSynTyConDefn,
- tyConPrimRep, tyConClass_maybe
+ tyConPrimRep
)
-- others
import Maybes ( maybeToBool )
import PrimRep ( PrimRep(..), isFollowableRep )
import Unique ( Uniquable(..) )
-import Util ( mapAccumL, seqList )
+import Util ( mapAccumL, seqList, thenCmp )
import Outputable
import UniqSet ( sizeUniqSet ) -- Should come via VarSet
\end{code}
\begin{code}
hasMoreBoxityInfo :: Kind -> Kind -> Bool
hasMoreBoxityInfo k1 k2
- | k2 == openTypeKind = ASSERT( is_type_kind k1) True
+ | k2 == openTypeKind = True
| otherwise = k1 == k2
- where
- -- Returns true for things of form (Type x)
- is_type_kind k = case splitTyConApp_maybe k of
- Just (tc,[_]) -> tc == typeCon
- Nothing -> False
+
+defaultKind :: Kind -> Kind
+-- Used when generalising: default kind '?' to '*'
+defaultKind kind | kind == openTypeKind = boxedTypeKind
+ | otherwise = kind
\end{code}
getTyVar :: String -> Type -> TyVar
getTyVar msg (TyVarTy tv) = tv
+getTyVar msg (PredTy p) = getTyVar msg (predRepTy p)
getTyVar msg (NoteTy _ t) = getTyVar msg t
getTyVar msg other = panic ("getTyVar: " ++ msg)
getTyVar_maybe :: Type -> Maybe TyVar
getTyVar_maybe (TyVarTy tv) = Just tv
getTyVar_maybe (NoteTy _ t) = getTyVar_maybe t
+getTyVar_maybe (PredTy p) = getTyVar_maybe (predRepTy p)
getTyVar_maybe other = Nothing
isTyVarTy :: Type -> Bool
isTyVarTy (TyVarTy tv) = True
isTyVarTy (NoteTy _ ty) = isTyVarTy ty
+isTyVarTy (PredTy p) = isTyVarTy (predRepTy p)
isTyVarTy other = False
\end{code}
invariant: use it.
\begin{code}
-mkAppTy orig_ty1 orig_ty2 = ASSERT2( isNotUsgTy orig_ty1 && isNotUsgTy orig_ty2, pprType orig_ty1 <+> text "to" <+> pprType orig_ty2 )
- mk_app orig_ty1
+mkAppTy orig_ty1 orig_ty2
+ = ASSERT2( isNotUsgTy orig_ty1 && isNotUsgTy orig_ty2, pprType orig_ty1 <+> text "to" <+> pprType orig_ty2 )
+ ASSERT( not (isPredTy orig_ty1) ) -- Predicates are of kind *
+ mk_app orig_ty1
where
mk_app (NoteTy _ ty1) = mk_app ty1
mk_app (TyConApp tc tys) = mkTyConApp tc (tys ++ [orig_ty2])
-- For example: mkAppTys Rational []
-- returns to (Ratio Integer), which has needlessly lost
-- the Rational part.
-mkAppTys orig_ty1 orig_tys2 = ASSERT2( isNotUsgTy orig_ty1, pprType orig_ty1 )
- mk_app orig_ty1
+mkAppTys orig_ty1 orig_tys2
+ = ASSERT2( isNotUsgTy orig_ty1, pprType orig_ty1 )
+ ASSERT( not (isPredTy orig_ty1) ) -- Predicates are of kind *
+ mk_app orig_ty1
where
mk_app (NoteTy _ ty1) = mk_app ty1
mk_app (TyConApp tc tys) = mkTyConApp tc (tys ++ orig_tys2)
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 (PredTy p) = splitAppTy_maybe (predRepTy p)
splitAppTy_maybe (TyConApp tc []) = Nothing
splitAppTy_maybe (TyConApp tc tys) = split tys []
where
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 (PredTy p) args = split orig_ty (predRepTy p) 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)
mkFunTys :: [Type] -> Type -> Type
mkFunTys tys ty = foldr FunTy ty tys
+splitFunTy :: Type -> (Type, Type)
+splitFunTy (FunTy arg res) = (arg, res)
+splitFunTy (NoteTy _ ty) = splitFunTy ty
+splitFunTy (PredTy p) = splitFunTy (predRepTy p)
+
splitFunTy_maybe :: Type -> Maybe (Type, Type)
splitFunTy_maybe (FunTy arg res) = Just (arg, res)
splitFunTy_maybe (NoteTy _ ty) = splitFunTy_maybe ty
+splitFunTy_maybe (PredTy p) = splitFunTy_maybe (predRepTy p)
splitFunTy_maybe other = Nothing
splitFunTys :: Type -> ([Type], Type)
where
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 (PredTy p) = split args orig_ty (predRepTy p)
split args orig_ty ty = (reverse args, orig_ty)
splitFunTysN :: String -> Int -> Type -> ([Type], Type)
split 0 args syn_ty ty = (reverse args, syn_ty)
split n args syn_ty (FunTy arg res) = split (n-1) (arg:args) res res
split n args syn_ty (NoteTy _ ty) = split n args syn_ty ty
+ split n args syn_ty (PredTy p) = split n args syn_ty (predRepTy p)
split n args syn_ty ty = pprPanic ("splitFunTysN: " ++ msg) (int orig_n <+> pprType orig_ty)
zipFunTys :: Outputable a => [a] -> Type -> ([(a,Type)], Type)
split acc [] nty ty = (reverse acc, nty)
split acc (x:xs) nty (FunTy arg res) = split ((x,arg):acc) xs res res
split acc xs nty (NoteTy _ ty) = split acc xs nty ty
+ split acc xs nty (PredTy p) = split acc xs nty (predRepTy p)
split acc (x:xs) nty ty = pprPanic "zipFunTys" (ppr orig_xs <+> pprType orig_ty)
funResultTy :: Type -> Type
funResultTy (FunTy arg res) = res
funResultTy (NoteTy _ ty) = funResultTy ty
+funResultTy (PredTy p) = funResultTy (predRepTy p)
funResultTy ty = pprPanic "funResultTy" (pprType ty)
funArgTy :: Type -> Type
funArgTy (FunTy arg res) = arg
funArgTy (NoteTy _ ty) = funArgTy ty
+funArgTy (PredTy p) = funArgTy (predRepTy p)
funArgTy ty = pprPanic "funArgTy" (pprType ty)
\end{code}
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 (PredTy p) = splitTyConApp_maybe (predRepTy p)
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.
+-- We return the constructors too, so there had better be some.
splitAlgTyConApp_maybe :: Type -> Maybe (TyCon, [Type], [DataCon])
splitAlgTyConApp_maybe (TyConApp tc tys)
- | isAlgTyCon tc &&
+ | isAlgTyCon tc &&
tyConArity tc == length tys = Just (tc, tys, tyConDataCons tc)
splitAlgTyConApp_maybe (NoteTy _ ty) = splitAlgTyConApp_maybe ty
+splitAlgTyConApp_maybe (PredTy p) = splitAlgTyConApp_maybe (predRepTy p)
splitAlgTyConApp_maybe other = Nothing
splitAlgTyConApp :: Type -> (TyCon, [Type], [DataCon])
splitAlgTyConApp (TyConApp tc tys) = ASSERT( isAlgTyCon tc && tyConArity tc == length tys )
(tc, tys, tyConDataCons tc)
splitAlgTyConApp (NoteTy _ ty) = splitAlgTyConApp ty
+splitAlgTyConApp (PredTy p) = splitAlgTyConApp (predRepTy p)
+#ifdef DEBUG
+splitAlgTyConApp ty = pprPanic "splitAlgTyConApp" (pprType ty)
+#endif
\end{code}
-"Dictionary" types are just ordinary data types, but you can
-tell from the type constructor whether it's a dictionary or not.
-
-\begin{code}
-mkDictTy :: Class -> [Type] -> Type
-mkDictTy clas tys = TyConApp (classTyCon clas) tys
-
-splitDictTy_maybe :: Type -> Maybe (Class, [Type])
-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 :: Type -> 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
isSynTy other = False
deNoteType :: Type -> Type
- -- Sorry for the cute name
+ -- Remove synonyms, but not Preds
deNoteType ty@(TyVarTy tyvar) = ty
deNoteType (TyConApp tycon tys) = TyConApp tycon (map deNoteType tys)
+deNoteType (PredTy p) = PredTy p
deNoteType (NoteTy _ ty) = deNoteType ty
deNoteType (AppTy fun arg) = AppTy (deNoteType fun) (deNoteType arg)
deNoteType (FunTy fun arg) = FunTy (deNoteType fun) (deNoteType arg)
interfaces. Notably this plays a role in tcTySigs in TcBinds.lhs.
+ Representation types
+ ~~~~~~~~~~~~~~~~~~~~
repType looks through
(a) for-alls, and
(b) newtypes
-in addition to synonyms. It's useful in the back end where we're not
+ (c) synonyms
+ (d) predicates
+It's useful in the back end where we're not
interested in newtypes anymore.
\begin{code}
repType :: Type -> Type
-repType (NoteTy _ ty) = repType ty
-repType (ForAllTy _ ty) = repType ty
-repType (TyConApp tc tys) | isNewTyCon tc = repType (new_type_rep tc tys)
-repType other_ty = other_ty
+repType (ForAllTy _ ty) = repType ty
+repType (NoteTy _ ty) = repType ty
+repType (PredTy p) = repType (predRepTy p)
+repType ty = case splitNewType_maybe ty of
+ Just ty' -> repType ty' -- Still re-apply repType in case of for-all
+ Nothing -> ty
+
+splitRepFunTys :: Type -> ([Type], Type)
+-- Like splitFunTys, but looks through newtypes and for-alls
+splitRepFunTys ty = split [] (repType ty)
+ where
+ split args (FunTy arg res) = split (arg:args) (repType res)
+ split args ty = (reverse args, ty)
+
+typePrimRep :: Type -> PrimRep
+typePrimRep ty = case repType ty of
+ TyConApp tc _ -> tyConPrimRep tc
+ FunTy _ _ -> PtrRep
+ AppTy _ _ -> PtrRep -- ??
+ TyVarTy _ -> PtrRep
splitNewType_maybe :: Type -> Maybe Type
-- Find the representation of a newtype, if it is one
--- Looks through multiple levels of newtype
-splitNewType_maybe (NoteTy _ ty) = splitNewType_maybe ty
-splitNewType_maybe (TyConApp tc tys) | isNewTyCon tc = case splitNewType_maybe rep_ty of
- Just rep_ty' -> Just rep_ty'
- Nothing -> Just rep_ty
- where
- rep_ty = new_type_rep tc tys
-
-splitNewType_maybe other = Nothing
-
-new_type_rep :: TyCon -> [Type] -> Type
--- The representation type for (T t1 .. tn), where T is a newtype
--- Looks through one layer only
-new_type_rep tc tys
- = ASSERT( isNewTyCon tc )
- case splitFunTy_maybe (applyTys (dataConType (head (tyConDataCons tc))) tys) of
- Just (rep_ty, _) -> rep_ty
+-- Looks through multiple levels of newtype, but does not look through for-alls
+splitNewType_maybe (NoteTy _ ty) = splitNewType_maybe ty
+splitNewType_maybe (PredTy p) = splitNewType_maybe (predRepTy p)
+splitNewType_maybe (TyConApp tc tys) = case newTyConRep tc of
+ Just rep_ty -> ASSERT( length tys == tyConArity tc )
+ -- The assert should hold because repType should
+ -- only be applied to *types* (of kind *)
+ Just (applyTys rep_ty tys)
+ Nothing -> Nothing
+splitNewType_maybe other = Nothing
\end{code}
substUsTy :: VarEnv UsageAnn -> Type -> Type
-- assumes range is fresh uvars, so no conflicts
-substUsTy ve (NoteTy note@(UsgNote (UsVar u))
- ty ) = NoteTy (case lookupVarEnv ve u of
- Just ua -> UsgNote ua
- Nothing -> note)
- (substUsTy ve ty)
-substUsTy ve (NoteTy note@(UsgNote _) ty ) = NoteTy note (substUsTy ve ty)
-substUsTy ve (NoteTy note@(UsgForAll _) ty ) = NoteTy note (substUsTy ve ty)
-substUsTy ve (NoteTy (SynNote ty1) ty2) = NoteTy (SynNote (substUsTy ve ty1))
- (substUsTy ve ty2)
-substUsTy ve (NoteTy note@(FTVNote _) ty ) = NoteTy note (substUsTy ve ty)
-substUsTy ve ty@(TyVarTy _ ) = ty
-substUsTy ve (AppTy ty1 ty2) = AppTy (substUsTy ve ty1)
- (substUsTy ve ty2)
-substUsTy ve (FunTy ty1 ty2) = FunTy (substUsTy ve ty1)
- (substUsTy ve ty2)
-substUsTy ve (TyConApp tyc tys) = TyConApp tyc (map (substUsTy ve) tys)
-substUsTy ve (ForAllTy yv ty ) = ForAllTy yv (substUsTy ve ty)
+substUsTy ve (NoteTy note@(UsgNote (UsVar u))
+ ty ) = NoteTy (case lookupVarEnv ve u of
+ Just ua -> UsgNote ua
+ Nothing -> note)
+ (substUsTy ve ty)
+substUsTy ve (NoteTy (SynNote ty1) ty2) = NoteTy (SynNote (substUsTy ve ty1)) (substUsTy ve ty2)
+substUsTy ve (NoteTy note ty) = NoteTy note (substUsTy ve ty)
+
+substUsTy ve (PredTy (Class c tys)) = PredTy (Class c (map (substUsTy ve) tys))
+substUsTy ve (PredTy (IParam n ty)) = PredTy (IParam n (substUsTy ve ty))
+substUsTy ve (TyVarTy tv) = TyVarTy tv
+substUsTy ve (AppTy ty1 ty2) = AppTy (substUsTy ve ty1) (substUsTy ve ty2)
+substUsTy ve (FunTy ty1 ty2) = FunTy (substUsTy ve ty1) (substUsTy ve ty2)
+substUsTy ve (TyConApp tyc tys) = TyConApp tyc (map (substUsTy ve) tys)
+substUsTy ve (ForAllTy yv ty ) = ForAllTy yv (substUsTy ve ty)
\end{code}
return (tyvar, NoteTy (UsgNote usg) ty'')
Nothing -> splitFAT_m ty
where
- splitFAT_m (NoteTy _ ty) = splitFAT_m ty
- splitFAT_m (ForAllTy tyvar ty) = Just(tyvar, ty)
- splitFAT_m _ = Nothing
-
-isForAllTy :: Type -> Bool
-isForAllTy (NoteTy _ ty) = isForAllTy ty
-isForAllTy (ForAllTy tyvar ty) = True
-isForAllTy _ = False
+ splitFAT_m (NoteTy _ ty) = splitFAT_m ty
+ splitFAT_m (PredTy p) = splitFAT_m (predRepTy p)
+ splitFAT_m (ForAllTy tyvar ty) = Just(tyvar, ty)
+ splitFAT_m _ = Nothing
splitForAllTys :: Type -> ([TyVar], Type)
splitForAllTys ty = case splitUsgTy_maybe ty of
in (tvs, NoteTy (UsgNote usg) ty'')
Nothing -> 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)
+ 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 (PredTy p) tvs = split orig_ty (predRepTy p) tvs
+ split orig_ty t tvs = (reverse tvs, orig_ty)
\end{code}
-@mkPiType@ makes a (->) type or a forall type, depending on whether
-it is given a type variable or a term variable.
-
-\begin{code}
-mkPiType :: IdOrTyVar -> Type -> Type -- The more polymorphic version doesn't work...
-mkPiType v ty | isId v = mkFunTy (idType v) ty
- | otherwise = mkForAllTy v ty
-\end{code}
+-- (mkPiType now in CoreUtils)
Applying a for-all to its arguments
applyTy :: Type -> Type -> Type
applyTy (NoteTy note@(UsgNote _) fun) arg = NoteTy note (applyTy fun arg)
applyTy (NoteTy note@(UsgForAll _) fun) arg = NoteTy note (applyTy fun arg)
+applyTy (PredTy p) arg = applyTy (predRepTy p) arg
applyTy (NoteTy _ fun) arg = applyTy fun arg
applyTy (ForAllTy tv ty) arg = ASSERT( isNotUsgTy arg )
substTy (mkTyVarSubst [tv] [arg]) ty
args = case split fun_ty args of
(tvs, ty) -> (tvs, NoteTy note ty)
split (NoteTy _ fun_ty) args = split fun_ty args
+ split (PredTy p) args = split (predRepTy p) args
split (ForAllTy tv fun_ty) (arg:args) = ASSERT2( isNotUsgTy arg, vcat (map pprType arg_tys) $$
text "in application of" <+> pprType fun_ty)
case split fun_ty args of
extension: we handle them by lifting the annotation outside. The
argument, however, must still be unannotated.
+\begin{code}
+hoistForAllTys :: Type -> Type
+ -- Move all the foralls to the top
+ -- e.g. T -> forall a. a ==> forall a. T -> a
+hoistForAllTys ty
+ = case hoist ty of { (tvs, body) -> mkForAllTys tvs body }
+ where
+ hoist :: Type -> ([TyVar], Type)
+ hoist ty = case splitFunTys ty of { (args, res) ->
+ case splitForAllTys res of {
+ ([], body) -> ([], ty) ;
+ (tvs1, body1) -> case hoist body1 of { (tvs2,body2) ->
+ (tvs1 ++ tvs2, mkFunTys args body2)
+ }}}
+\end{code}
+
%************************************************************************
%* *
\subsection{Stuff to do with the source-language types}
+
+PredType and ThetaType are used in types for expressions and bindings.
+ClassPred and ClassContext are used in class and instance declarations.
%* *
%************************************************************************
+"Dictionary" types are just ordinary data types, but you can
+tell from the type constructor whether it's a dictionary or not.
+
\begin{code}
-type RhoType = Type
-type TauType = Type
-type ThetaType = [(Class, [Type])]
-type SigmaType = Type
+mkClassPred clas tys = Class clas tys
+
+mkDictTy :: Class -> [Type] -> Type
+mkDictTy clas tys = mkPredTy (Class clas tys)
+
+mkDictTys :: ClassContext -> [Type]
+mkDictTys cxt = [mkDictTy cls tys | (cls,tys) <- cxt]
+
+mkPredTy :: PredType -> Type
+mkPredTy pred = PredTy pred
+
+predRepTy :: PredType -> Type
+-- Convert a predicate to its "representation type";
+-- the type of evidence for that predicate, which is actually passed at runtime
+predRepTy (Class clas tys) = TyConApp (classTyCon clas) tys
+predRepTy (IParam n ty) = ty
+
+isPredTy :: Type -> Bool
+isPredTy (NoteTy _ ty) = isPredTy ty
+isPredTy (PredTy _) = True
+isPredTy _ = False
+
+isDictTy :: Type -> Bool
+isDictTy (NoteTy _ ty) = isDictTy ty
+isDictTy (PredTy (Class _ _)) = True
+isDictTy other = False
+
+splitPredTy_maybe :: Type -> Maybe PredType
+splitPredTy_maybe (NoteTy _ ty) = splitPredTy_maybe ty
+splitPredTy_maybe (PredTy p) = Just p
+splitPredTy_maybe other = Nothing
+
+splitDictTy_maybe :: Type -> Maybe (Class, [Type])
+splitDictTy_maybe ty = case splitPredTy_maybe ty of
+ Just p -> getClassTys_maybe p
+ Nothing -> Nothing
+
+getClassTys_maybe :: PredType -> Maybe ClassPred
+getClassTys_maybe (Class clas tys) = Just (clas, tys)
+getClassTys_maybe _ = Nothing
+
+ipName_maybe :: PredType -> Maybe Name
+ipName_maybe (IParam n _) = Just n
+ipName_maybe _ = Nothing
+
+classesToPreds :: ClassContext -> ThetaType
+classesToPreds cts = map (uncurry Class) cts
+
+classesOfPreds :: ThetaType -> ClassContext
+classesOfPreds theta = [(clas,tys) | Class clas tys <- theta]
\end{code}
@isTauTy@ tests for nested for-alls.
\begin{code}
isTauTy :: Type -> Bool
-isTauTy (TyVarTy v) = True
+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
+isTauTy (AppTy a b) = isTauTy a && isTauTy b
+isTauTy (FunTy a b) = isTauTy a && isTauTy b
+isTauTy (PredTy p) = isTauTy (predRepTy p)
+isTauTy (NoteTy _ ty) = isTauTy ty
+isTauTy other = False
\end{code}
\begin{code}
-mkRhoTy :: [(Class, [Type])] -> Type -> Type
-mkRhoTy theta ty = foldr (\(c,t) r -> FunTy (mkDictTy c t) r) ty theta
+mkRhoTy :: [PredType] -> Type -> Type
+mkRhoTy theta ty = foldr (\p r -> FunTy (mkPredTy p) r) ty theta
-splitRhoTy :: Type -> ([(Class, [Type])], Type)
+splitRhoTy :: Type -> ([PredType], Type)
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)
+ split orig_ty (FunTy arg res) ts = case splitPredTy_maybe arg of
+ Just p -> split res res (p: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}
+isSigmaType returns true of any qualified type. It doesn't *necessarily* have
+any foralls. E.g.
+ f :: (?x::Int) => Int -> Int
\begin{code}
mkSigmaTy tyvars theta tau = mkForAllTys tyvars (mkRhoTy theta tau)
-splitSigmaTy :: Type -> ([TyVar], [(Class, [Type])], Type)
+isSigmaTy :: Type -> Bool
+isSigmaTy (ForAllTy tyvar ty) = True
+isSigmaTy (FunTy a b) = isPredTy a
+isSigmaTy (NoteTy _ ty) = isSigmaTy ty
+isSigmaTy _ = False
+
+splitSigmaTy :: Type -> ([TyVar], [PredType], Type)
splitSigmaTy ty =
(tyvars, theta, tau)
where
(theta,tau) = splitRhoTy rho
\end{code}
+\begin{code}
+getDFunTyKey :: Type -> OccName -- Get some string from a type, to be used to
+ -- construct a dictionary function name
+getDFunTyKey (TyVarTy tv) = getOccName tv
+getDFunTyKey (TyConApp tc _) = getOccName tc
+getDFunTyKey (AppTy fun _) = getDFunTyKey fun
+getDFunTyKey (NoteTy _ t) = getDFunTyKey t
+getDFunTyKey (FunTy arg _) = getOccName funTyCon
+getDFunTyKey (ForAllTy _ t) = getDFunTyKey t
+-- PredTy shouldn't happen
+\end{code}
+
%************************************************************************
%* *
typeKind (TyVarTy tyvar) = tyVarKind tyvar
typeKind (TyConApp tycon tys) = foldr (\_ k -> funResultTy k) (tyConKind tycon) tys
typeKind (NoteTy _ ty) = typeKind ty
+typeKind (PredTy _) = boxedTypeKind -- Predicates are always
+ -- represented by boxed types
typeKind (AppTy fun arg) = funResultTy (typeKind fun)
-typeKind (FunTy arg res) = boxedTypeKind -- A function is boxed regardless of its result type
- -- No functions at the type level, hence we don't need
- -- to say (typeKind res).
+typeKind (FunTy arg res) = fix_up (typeKind res)
+ where
+ fix_up (TyConApp tycon _) | tycon == typeCon
+ || tycon == openKindCon = boxedTypeKind
+ fix_up (NoteTy _ kind) = fix_up kind
+ fix_up kind = kind
+ -- The basic story is
+ -- typeKind (FunTy arg res) = typeKind res
+ -- But a function is boxed regardless of its result type
+ -- Hence the strange fix-up.
+ -- Note that 'res', being the result of a FunTy, can't have
+ -- a strange kind like (*->*).
typeKind (ForAllTy tv ty) = typeKind ty
\end{code}
Free variables of a type
~~~~~~~~~~~~~~~~~~~~~~~~
\begin{code}
-tyVarsOfType :: Type -> TyVarSet
+tyVarsOfType :: Type -> TyVarSet
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 (NoteTy (UsgNote _) ty) = tyVarsOfType ty
tyVarsOfType (NoteTy (UsgForAll _) ty) = tyVarsOfType ty
+tyVarsOfType (PredTy p) = tyVarsOfPred p
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 :: [Type] -> TyVarSet
tyVarsOfTypes tys = foldr (unionVarSet.tyVarsOfType) emptyVarSet tys
+tyVarsOfPred :: PredType -> TyVarSet
+tyVarsOfPred (Class clas tys) = tyVarsOfTypes tys
+tyVarsOfPred (IParam n ty) = tyVarsOfType ty
+
+tyVarsOfTheta :: ThetaType -> TyVarSet
+tyVarsOfTheta = foldr (unionVarSet . tyVarsOfPred) emptyVarSet
+
-- Add a Note with the free tyvars to the top of the type
-- (but under a usage if there is one)
addFreeTyVars :: Type -> Type
namesOfTypes tys
namesOfType (NoteTy (SynNote ty1) ty2) = namesOfType ty1
namesOfType (NoteTy other_note ty2) = namesOfType ty2
+namesOfType (PredTy p) = namesOfType (predRepTy p)
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)
go (TyConApp tycon tys) = let args = map go tys
in args `seqList` TyConApp tycon args
go (NoteTy note ty) = (NoteTy SAPPLY (go_note note)) SAPPLY (go ty)
+ go (PredTy p) = PredTy (go_pred p)
go (AppTy fun arg) = (AppTy SAPPLY (go fun)) SAPPLY (go arg)
go (FunTy fun arg) = (FunTy SAPPLY (go fun)) SAPPLY (go arg)
go (ForAllTy tv ty) = ForAllTy tvp SAPPLY (tidyType envp ty)
go_note note@(UsgNote _) = note -- Usage annotation is already tidy
go_note note@(UsgForAll _) = note -- Uvar binder is already tidy
-tidyTypes env tys = map (tidyType env) tys
+ go_pred (Class c tys) = Class c (tidyTypes env tys)
+ go_pred (IParam n ty) = IParam n (go ty)
+
+tidyTypes env tys = map (tidyType env) tys
\end{code}
\end{code}
+
%************************************************************************
%* *
\subsection{Boxedness and liftedness}
isUnboxedType ty = not (isFollowableRep (typePrimRep ty))
isUnLiftedType :: Type -> Bool
-isUnLiftedType ty = case splitTyConApp_maybe ty of
- Just (tc, ty_args) -> isUnLiftedTyCon tc
- other -> False
+ -- isUnLiftedType returns True for forall'd unlifted types:
+ -- x :: forall a. Int#
+ -- I found bindings like these were getting floated to the top level.
+ -- They are pretty bogus types, mind you. It would be better never to
+ -- construct them
+
+isUnLiftedType (ForAllTy tv ty) = isUnLiftedType ty
+isUnLiftedType (NoteTy _ ty) = isUnLiftedType ty
+isUnLiftedType (TyConApp tc _) = isUnLiftedTyCon tc
+isUnLiftedType other = False
isUnboxedTupleType :: Type -> Bool
isUnboxedTupleType ty = case splitTyConApp_maybe ty of
Just (tc, ty_args) -> ASSERT( length ty_args == tyConArity tc )
isNewTyCon tc
other -> False
-
-typePrimRep :: Type -> PrimRep
-typePrimRep ty = case splitTyConApp_maybe ty of
- Just (tc, ty_args) -> tyConPrimRep tc
- other -> PtrRep
\end{code}
seqType (AppTy t1 t2) = seqType t1 `seq` seqType t2
seqType (FunTy t1 t2) = seqType t1 `seq` seqType t2
seqType (NoteTy note t2) = seqNote note `seq` seqType t2
+seqType (PredTy p) = seqPred p
seqType (TyConApp tc tys) = tc `seq` seqTypes tys
seqType (ForAllTy tv ty) = tv `seq` seqType ty
seqNote (SynNote ty) = seqType ty
seqNote (FTVNote set) = sizeUniqSet set `seq` ()
seqNote (UsgNote usg) = usg `seq` ()
+
+seqPred :: PredType -> ()
+seqPred (Class c tys) = c `seq` seqTypes tys
+seqPred (IParam n ty) = n `seq` seqType ty
\end{code}
+
+%************************************************************************
+%* *
+\subsection{Equality on types}
+%* *
+%************************************************************************
+
+
+For the moment at least, type comparisons don't work if
+there are embedded for-alls.
+
+\begin{code}
+instance Eq Type where
+ ty1 == ty2 = case ty1 `compare` ty2 of { EQ -> True; other -> False }
+
+instance Ord Type where
+ compare ty1 ty2 = cmpTy emptyVarEnv ty1 ty2
+
+cmpTy :: TyVarEnv TyVar -> Type -> Type -> Ordering
+ -- 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
+
+ -- Get rid of NoteTy
+cmpTy env (NoteTy _ ty1) ty2 = cmpTy env ty1 ty2
+cmpTy env ty1 (NoteTy _ ty2) = cmpTy env ty1 ty2
+
+ -- Get rid of PredTy
+cmpTy env (PredTy p1) (PredTy p2) = cmpPred env p1 p2
+cmpTy env (PredTy p1) ty2 = cmpTy env (predRepTy p1) ty2
+cmpTy env ty1 (PredTy p2) = cmpTy env ty1 (predRepTy p2)
+
+ -- Deal with equal constructors
+cmpTy env (TyVarTy tv1) (TyVarTy tv2) = case lookupVarEnv env tv1 of
+ Just tv1a -> tv1a `compare` tv2
+ Nothing -> tv1 `compare` tv2
+
+cmpTy env (AppTy f1 a1) (AppTy f2 a2) = cmpTy env f1 f2 `thenCmp` cmpTy env a1 a2
+cmpTy env (FunTy f1 a1) (FunTy f2 a2) = cmpTy env f1 f2 `thenCmp` cmpTy env a1 a2
+cmpTy env (TyConApp tc1 tys1) (TyConApp tc2 tys2) = (tc1 `compare` tc2) `thenCmp` (cmpTys env tys1 tys2)
+cmpTy env (ForAllTy tv1 t1) (ForAllTy tv2 t2) = cmpTy (extendVarEnv env tv1 tv2) t1 t2
+
+ -- Deal with the rest: TyVarTy < AppTy < FunTy < TyConApp < ForAllTy
+cmpTy env (AppTy _ _) (TyVarTy _) = GT
+
+cmpTy env (FunTy _ _) (TyVarTy _) = GT
+cmpTy env (FunTy _ _) (AppTy _ _) = GT
+
+cmpTy env (TyConApp _ _) (TyVarTy _) = GT
+cmpTy env (TyConApp _ _) (AppTy _ _) = GT
+cmpTy env (TyConApp _ _) (FunTy _ _) = GT
+
+cmpTy env (ForAllTy _ _) other = GT
+
+cmpTy env _ _ = LT
+
+
+cmpTys env [] [] = EQ
+cmpTys env (t:ts) [] = GT
+cmpTys env [] (t:ts) = LT
+cmpTys env (t1:t1s) (t2:t2s) = cmpTy env t1 t2 `thenCmp` cmpTys env t1s t2s
+\end{code}
+
+\begin{code}
+instance Eq PredType where
+ p1 == p2 = case p1 `compare` p2 of { EQ -> True; other -> False }
+
+instance Ord PredType where
+ compare p1 p2 = cmpPred emptyVarEnv p1 p2
+
+cmpPred :: TyVarEnv TyVar -> PredType -> PredType -> Ordering
+cmpPred env (IParam n1 t) (IParam n2 t2) = n1 `compare` n2
+ -- Just compare the names!
+cmpPred env (Class c1 tys1) (Class c2 tys2) = (c1 `compare` c2) `thenCmp` (cmpTys env tys1 tys2)
+cmpPred env (IParam _ _) (Class _ _) = LT
+cmpPred env (Class _ _) (IParam _ _) = GT
+\end{code}