Type - public interface
\begin{code}
-{-# OPTIONS -fno-warn-incomplete-patterns #-}
-- The above warning supression flag is a temporary kludge.
-- While working on this module you are encouraged to remove it and fix
-- any warnings in the module. See
mkFunTy, mkFunTys, splitFunTy, splitFunTy_maybe,
splitFunTys, splitFunTysN,
- funResultTy, funArgTy, zipFunTys,
+ funResultTy, funArgTy, zipFunTys,
mkTyConApp, mkTyConTy,
tyConAppTyCon, tyConAppArgs,
tyFamInsts, predFamInsts,
-- (Source types)
- mkPredTy, mkPredTys, mkFamilyTyConApp,
+ mkPredTy, mkPredTys, mkFamilyTyConApp, isEqPred, coVarPred,
-- ** Common type constructors
funTyCon,
-- ** Predicates on types
- isTyVarTy, isFunTy,
+ isTyVarTy, isFunTy, isDictTy,
-- (Lifting and boxity)
isUnLiftedType, isUnboxedTupleType, isAlgType, isClosedAlgType,
-- $kind_subtyping
Kind, SimpleKind, KindVar,
- -- ** Deconstructing Kinds
- kindFunResult, splitKindFunTys, splitKindFunTysN,
-
-- ** Common Kinds and SuperKinds
liftedTypeKind, unliftedTypeKind, openTypeKind,
argTypeKind, ubxTupleKind,
liftedTypeKindTyCon, openTypeKindTyCon, unliftedTypeKindTyCon,
argTypeKindTyCon, ubxTupleKindTyCon,
- -- ** Predicates on Kinds
- isLiftedTypeKind, isUnliftedTypeKind, isOpenTypeKind,
- isUbxTupleKind, isArgTypeKind, isKind, isTySuperKind,
- isCoSuperKind, isSuperKind, isCoercionKind, isEqPred,
- mkArrowKind, mkArrowKinds,
-
- isSubArgTypeKind, isSubOpenTypeKind, isSubKind, defaultKind, eqKind,
- isSubKindCon,
-
-- * Type free variables
tyVarsOfType, tyVarsOfTypes, tyVarsOfPred, tyVarsOfTheta,
- typeKind,
-
- -- * Tidying type related things up for printing
- tidyType, tidyTypes,
- tidyOpenType, tidyOpenTypes,
- tidyTyVarBndr, tidyFreeTyVars,
- tidyOpenTyVar, tidyOpenTyVars,
- tidyTopType, tidyPred,
- tidyKind,
+ expandTypeSynonyms,
+ typeSize,
-- * Type comparison
- coreEqType, tcEqType, tcEqTypes, tcCmpType, tcCmpTypes,
+ coreEqType, coreEqType2,
+ tcEqType, tcEqTypes, tcCmpType, tcCmpTypes,
tcEqPred, tcEqPredX, tcCmpPred, tcEqTypeX, tcPartOfType, tcPartOfPred,
-- * Forcing evaluation of types
emptyTvSubstEnv, emptyTvSubst,
mkTvSubst, mkOpenTvSubst, zipOpenTvSubst, zipTopTvSubst, mkTopTvSubst, notElemTvSubst,
- getTvSubstEnv, setTvSubstEnv, getTvInScope, extendTvInScope,
+ getTvSubstEnv, setTvSubstEnv, zapTvSubstEnv, getTvInScope,
+ extendTvInScope, extendTvInScopeList,
extendTvSubst, extendTvSubstList, isInScope, composeTvSubst, zipTyEnv,
- isEmptyTvSubst,
+ isEmptyTvSubst, unionTvSubst,
-- ** Performing substitution on types
substTy, substTys, substTyWith, substTysWith, substTheta,
-- * Pretty-printing
pprType, pprParendType, pprTypeApp, pprTyThingCategory, pprTyThing, pprForAll,
- pprPred, pprTheta, pprThetaArrow, pprClassPred, pprKind, pprParendKind,
+ pprPred, pprEqPred, pprTheta, pprThetaArrow, pprClassPred, pprKind, pprParendKind,
pprSourceTyCon
) where
import VarEnv
import VarSet
-import Name
import Class
-import PrelNames
import TyCon
-- others
import Outputable
import FastString
-import Data.List
import Data.Maybe ( isJust )
+
+infixr 3 `mkFunTy` -- Associates to the right
\end{code}
\begin{code}
tcView _ = Nothing
-----------------------------------------------
+expandTypeSynonyms :: Type -> Type
+-- ^ Expand out all type synonyms. Actually, it'd suffice to expand out
+-- just the ones that discard type variables (e.g. type Funny a = Int)
+-- But we don't know which those are currently, so we just expand all.
+expandTypeSynonyms ty
+ = go ty
+ where
+ go (TyConApp tc tys)
+ | Just (tenv, rhs, tys') <- tcExpandTyCon_maybe tc tys
+ = go (mkAppTys (substTy (mkTopTvSubst tenv) rhs) tys')
+ | otherwise
+ = TyConApp tc (map go tys)
+ go (TyVarTy tv) = TyVarTy tv
+ go (AppTy t1 t2) = AppTy (go t1) (go t2)
+ go (FunTy t1 t2) = FunTy (go t1) (go t2)
+ go (ForAllTy tv t) = ForAllTy tv (go t)
+ go (PredTy p) = PredTy (go_pred p)
+
+ go_pred (ClassP c ts) = ClassP c (map go ts)
+ go_pred (IParam ip t) = IParam ip (go t)
+ go_pred (EqPred t1 t2) = EqPred (go t1) (go t2)
+
+-----------------------------------------------
{-# INLINE kindView #-}
kindView :: Kind -> Maybe Kind
-- ^ Similar to 'coreView' or 'tcView', but works on 'Kind's
repSplitAppTy_maybe (FunTy ty1 ty2) = Just (TyConApp funTyCon [ty1], ty2)
repSplitAppTy_maybe (AppTy ty1 ty2) = Just (ty1, ty2)
repSplitAppTy_maybe (TyConApp tc tys)
- | not (isOpenSynTyCon tc) || length tys > tyConArity tc
+ | isDecomposableTyCon tc || length tys > tyConArity tc
= case snocView tys of -- never create unsaturated type family apps
Just (tys', ty') -> Just (TyConApp tc tys', ty')
Nothing -> Nothing
split _ (AppTy ty arg) args = split ty ty (arg:args)
split _ (TyConApp tc tc_args) args
= let -- keep type families saturated
- n | isOpenSynTyCon tc = tyConArity tc
- | otherwise = 0
- (tc_args1, tc_args2) = splitAt n tc_args
+ n | isDecomposableTyCon tc = 0
+ | otherwise = tyConArity tc
+ (tc_args1, tc_args2) = splitAt n tc_args
in
(TyConApp tc tc_args1, tc_args2 ++ args)
split _ (FunTy ty1 ty2) args = ASSERT( null args )
\begin{code}
mkFunTy :: Type -> Type -> Type
-- ^ Creates a function type from the given argument and result type
-mkFunTy (PredTy (EqPred ty1 ty2)) res = mkForAllTy (mkWildCoVar (PredTy (EqPred ty1 ty2))) res
-mkFunTy arg res = FunTy arg res
+mkFunTy arg@(PredTy (EqPred {})) res = ForAllTy (mkWildCoVar arg) res
+mkFunTy arg res = FunTy arg res
mkFunTys :: [Type] -> Type -> Type
mkFunTys tys ty = foldr mkFunTy ty tys
splitFunTysN :: Int -> Type -> ([Type], Type)
-- ^ Split off exactly the given number argument types, and panics if that is not possible
splitFunTysN 0 ty = ([], ty)
-splitFunTysN n ty = case splitFunTy ty of { (arg, res) ->
+splitFunTysN n ty = ASSERT2( isFunTy ty, int n <+> ppr ty )
+ case splitFunTy ty of { (arg, res) ->
case splitFunTysN (n-1) res of { (args, res) ->
(arg:args, res) }}
\begin{code}
mkForAllTy :: TyVar -> Type -> Type
mkForAllTy tyvar ty
- = mkForAllTys [tyvar] ty
+ = ForAllTy tyvar ty
-- | Wraps foralls over the type using the provided 'TyVar's from left to right
mkForAllTys :: [TyVar] -> Type -> Type
mkPredTys :: ThetaType -> [Type]
mkPredTys preds = map PredTy preds
+isEqPred :: PredType -> Bool
+isEqPred (EqPred _ _) = True
+isEqPred _ = False
+
predTypeRep :: PredType -> Type
-- ^ Convert a 'PredType' to its representation type. However, it unwraps
-- only the outermost level; for example, the result might be a newtype application
= ppr $ fam_tc `TyConApp` tys -- can't be FunTyCon
| otherwise
= ppr tycon
+
+isDictTy :: Type -> Bool
+isDictTy ty = case splitTyConApp_maybe ty of
+ Just (tc, _) -> isClassTyCon tc
+ Nothing -> False
\end{code}
%************************************************************************
%* *
-\subsection{Kinds and free variables}
+ The free variables of a type
%* *
%************************************************************************
----------------------------------------------------------------------
- Finding the kind of a type
- ~~~~~~~~~~~~~~~~~~~~~~~~~~
-\begin{code}
-typeKind :: Type -> Kind
-typeKind (TyConApp tycon tys) = ASSERT( not (isCoercionTyCon tycon) )
- -- We should be looking for the coercion kind,
- -- not the type kind
- foldr (\_ k -> kindFunResult k) (tyConKind tycon) tys
-typeKind (PredTy pred) = predKind pred
-typeKind (AppTy fun _) = kindFunResult (typeKind fun)
-typeKind (ForAllTy _ ty) = typeKind ty
-typeKind (TyVarTy tyvar) = tyVarKind tyvar
-typeKind (FunTy _arg res)
- -- Hack alert. The kind of (Int -> Int#) is liftedTypeKind (*),
- -- not unliftedTypKind (#)
- -- The only things that can be after a function arrow are
- -- (a) types (of kind openTypeKind or its sub-kinds)
- -- (b) kinds (of super-kind TY) (e.g. * -> (* -> *))
- | isTySuperKind k = k
- | otherwise = ASSERT( isSubOpenTypeKind k) liftedTypeKind
- where
- k = typeKind res
-
-predKind :: PredType -> Kind
-predKind (EqPred {}) = coSuperKind -- A coercion kind!
-predKind (ClassP {}) = liftedTypeKind -- Class and implicitPredicates are
-predKind (IParam {}) = liftedTypeKind -- always represented by lifted types
-\end{code}
-
-
----------------------------------------------------------------------
- Free variables of a type
- ~~~~~~~~~~~~~~~~~~~~~~~~
\begin{code}
tyVarsOfType :: Type -> TyVarSet
-- ^ NB: for type synonyms tyVarsOfType does /not/ expand the synonym
-tyVarsOfType (TyVarTy tv) = unitVarSet tv
-tyVarsOfType (TyConApp _ tys) = tyVarsOfTypes tys
-tyVarsOfType (PredTy sty) = tyVarsOfPred sty
-tyVarsOfType (FunTy arg res) = tyVarsOfType arg `unionVarSet` tyVarsOfType res
-tyVarsOfType (AppTy fun arg) = tyVarsOfType fun `unionVarSet` tyVarsOfType arg
-tyVarsOfType (ForAllTy tyvar ty) = delVarSet (tyVarsOfType ty) tyvar
+tyVarsOfType (TyVarTy tv) = unitVarSet tv
+tyVarsOfType (TyConApp _ tys) = tyVarsOfTypes tys
+tyVarsOfType (PredTy sty) = tyVarsOfPred sty
+tyVarsOfType (FunTy arg res) = tyVarsOfType arg `unionVarSet` tyVarsOfType res
+tyVarsOfType (AppTy fun arg) = tyVarsOfType fun `unionVarSet` tyVarsOfType arg
+tyVarsOfType (ForAllTy tv ty) -- The kind of a coercion binder
+ -- can mention type variables!
+ | isTyVar tv = inner_tvs `delVarSet` tv
+ | otherwise {- Coercion -} = -- ASSERT( not (tv `elemVarSet` inner_tvs) )
+ inner_tvs `unionVarSet` tyVarsOfType (tyVarKind tv)
+ where
+ inner_tvs = tyVarsOfType ty
tyVarsOfTypes :: [Type] -> TyVarSet
tyVarsOfTypes tys = foldr (unionVarSet.tyVarsOfType) emptyVarSet tys
%************************************************************************
%* *
+ Size
+%* *
+%************************************************************************
+
+\begin{code}
+typeSize :: Type -> Int
+typeSize (TyVarTy _) = 1
+typeSize (AppTy t1 t2) = typeSize t1 + typeSize t2
+typeSize (FunTy t1 t2) = typeSize t1 + typeSize t2
+typeSize (PredTy p) = predSize p
+typeSize (ForAllTy _ t) = 1 + typeSize t
+typeSize (TyConApp _ ts) = 1 + sum (map typeSize ts)
+
+predSize :: PredType -> Int
+predSize (IParam _ t) = 1 + typeSize t
+predSize (ClassP _ ts) = 1 + sum (map typeSize ts)
+predSize (EqPred t1 t2) = typeSize t1 + typeSize t2
+\end{code}
+
+
+%************************************************************************
+%* *
\subsection{Type families}
%* *
%************************************************************************
| Just exp_ty <- tcView ty = tyFamInsts exp_ty
tyFamInsts (TyVarTy _) = []
tyFamInsts (TyConApp tc tys)
- | isOpenSynTyCon tc = [(tc, tys)]
+ | isSynFamilyTyCon tc = [(tc, tys)]
| otherwise = concat (map tyFamInsts tys)
tyFamInsts (FunTy ty1 ty2) = tyFamInsts ty1 ++ tyFamInsts ty2
tyFamInsts (AppTy ty1 ty2) = tyFamInsts ty1 ++ tyFamInsts ty2
%************************************************************************
%* *
-\subsection{TidyType}
-%* *
-%************************************************************************
-
-\begin{code}
--- | This tidies up a type for printing in an error message, or in
--- an interface file.
---
--- It doesn't change the uniques at all, just the print names.
-tidyTyVarBndr :: TidyEnv -> TyVar -> (TidyEnv, TyVar)
-tidyTyVarBndr env@(tidy_env, subst) tyvar
- = case tidyOccName tidy_env (getOccName name) of
- (tidy', occ') -> ((tidy', subst'), tyvar'')
- where
- subst' = extendVarEnv subst tyvar tyvar''
- tyvar' = setTyVarName tyvar name'
- name' = tidyNameOcc name occ'
- -- Don't forget to tidy the kind for coercions!
- tyvar'' | isCoVar tyvar = setTyVarKind tyvar' kind'
- | otherwise = tyvar'
- kind' = tidyType env (tyVarKind tyvar)
- where
- name = tyVarName tyvar
-
-tidyFreeTyVars :: TidyEnv -> TyVarSet -> TidyEnv
--- ^ Add the free 'TyVar's to the env in tidy form,
--- so that we can tidy the type they are free in
-tidyFreeTyVars env tyvars = fst (tidyOpenTyVars env (varSetElems tyvars))
-
-tidyOpenTyVars :: TidyEnv -> [TyVar] -> (TidyEnv, [TyVar])
-tidyOpenTyVars env tyvars = mapAccumL tidyOpenTyVar env tyvars
-
-tidyOpenTyVar :: TidyEnv -> TyVar -> (TidyEnv, TyVar)
--- ^ Treat a new 'TyVar' as a binder, and give it a fresh tidy name
--- using the environment if one has not already been allocated. See
--- also 'tidyTyVarBndr'
-tidyOpenTyVar env@(_, subst) tyvar
- = case lookupVarEnv subst tyvar of
- Just tyvar' -> (env, tyvar') -- Already substituted
- Nothing -> tidyTyVarBndr env tyvar -- Treat it as a binder
-
-tidyType :: TidyEnv -> Type -> Type
-tidyType env@(_, subst) ty
- = go ty
- where
- go (TyVarTy tv) = case lookupVarEnv subst tv of
- Nothing -> TyVarTy tv
- Just tv' -> TyVarTy tv'
- go (TyConApp tycon tys) = let args = map go tys
- in args `seqList` TyConApp tycon args
- go (PredTy sty) = PredTy (tidyPred env sty)
- go (AppTy fun arg) = (AppTy $! (go fun)) $! (go arg)
- go (FunTy fun arg) = (FunTy $! (go fun)) $! (go arg)
- go (ForAllTy tv ty) = ForAllTy tvp $! (tidyType envp ty)
- where
- (envp, tvp) = tidyTyVarBndr env tv
-
-tidyTypes :: TidyEnv -> [Type] -> [Type]
-tidyTypes env tys = map (tidyType env) tys
-
-tidyPred :: TidyEnv -> PredType -> PredType
-tidyPred env (IParam n ty) = IParam n (tidyType env ty)
-tidyPred env (ClassP clas tys) = ClassP clas (tidyTypes env tys)
-tidyPred env (EqPred ty1 ty2) = EqPred (tidyType env ty1) (tidyType env ty2)
-\end{code}
-
-
-\begin{code}
--- | Grabs the free type variables, tidies them
--- and then uses 'tidyType' to work over the type itself
-tidyOpenType :: TidyEnv -> Type -> (TidyEnv, Type)
-tidyOpenType env ty
- = (env', tidyType env' ty)
- where
- env' = tidyFreeTyVars env (tyVarsOfType ty)
-
-tidyOpenTypes :: TidyEnv -> [Type] -> (TidyEnv, [Type])
-tidyOpenTypes env tys = mapAccumL tidyOpenType env tys
-
--- | Calls 'tidyType' on a top-level type (i.e. with an empty tidying environment)
-tidyTopType :: Type -> Type
-tidyTopType ty = tidyType emptyTidyEnv ty
-\end{code}
-
-\begin{code}
-
-tidyKind :: TidyEnv -> Kind -> (TidyEnv, Kind)
-tidyKind env k = tidyOpenType env k
-
-\end{code}
-
-
-%************************************************************************
-%* *
\subsection{Liftedness}
%* *
%************************************************************************
isClosedAlgType ty
= case splitTyConApp_maybe ty of
Just (tc, ty_args) -> ASSERT( ty_args `lengthIs` tyConArity tc )
- isAlgTyCon tc && not (isOpenTyCon tc)
+ isAlgTyCon tc && not (isFamilyTyCon tc)
_other -> False
\end{code}
\begin{code}
-- | Type equality test for Core types (i.e. ignores predicate-types, synonyms etc.)
coreEqType :: Type -> Type -> Bool
-coreEqType t1 t2
- = eq rn_env t1 t2
+coreEqType t1 t2 = coreEqType2 rn_env t1 t2
where
rn_env = mkRnEnv2 (mkInScopeSet (tyVarsOfType t1 `unionVarSet` tyVarsOfType t2))
+coreEqType2 :: RnEnv2 -> Type -> Type -> Bool
+coreEqType2 rn_env t1 t2
+ = eq rn_env t1 t2
+ where
eq env (TyVarTy tv1) (TyVarTy tv2) = rnOccL env tv1 == rnOccR env tv2
eq env (ForAllTy tv1 t1) (ForAllTy tv2 t2) = eq (rnBndr2 env tv1 tv2) t1 t2
eq env (AppTy s1 t1) (AppTy s2 t2) = eq env s1 s2 && eq env t1 t2
For example, consider:
(/\a. /\b:(a~Int). ...b..) Int
We substitute Int for 'a'. The Unique of 'b' does not change, but
-nevertheless we add 'b' to the TvSubstEnv, because b's type does change
+nevertheless we add 'b' to the TvSubstEnv, because b's kind does change
This invariant has several crucial consequences:
setTvSubstEnv :: TvSubst -> TvSubstEnv -> TvSubst
setTvSubstEnv (TvSubst in_scope _) env = TvSubst in_scope env
-extendTvInScope :: TvSubst -> [Var] -> TvSubst
-extendTvInScope (TvSubst in_scope env) vars = TvSubst (extendInScopeSetList in_scope vars) env
+zapTvSubstEnv :: TvSubst -> TvSubst
+zapTvSubstEnv (TvSubst in_scope _) = TvSubst in_scope emptyVarEnv
+
+extendTvInScope :: TvSubst -> Var -> TvSubst
+extendTvInScope (TvSubst in_scope env) var = TvSubst (extendInScopeSet in_scope var) env
+
+extendTvInScopeList :: TvSubst -> [Var] -> TvSubst
+extendTvInScopeList (TvSubst in_scope env) vars = TvSubst (extendInScopeSetList in_scope vars) env
extendTvSubst :: TvSubst -> TyVar -> Type -> TvSubst
extendTvSubst (TvSubst in_scope env) tv ty = TvSubst in_scope (extendVarEnv env tv ty)
extendTvSubstList (TvSubst in_scope env) tvs tys
= TvSubst in_scope (extendVarEnvList env (tvs `zip` tys))
+unionTvSubst :: TvSubst -> TvSubst -> TvSubst
+-- Works when the ranges are disjoint
+unionTvSubst (TvSubst in_scope1 env1) (TvSubst in_scope2 env2)
+ = ASSERT( not (env1 `intersectsVarEnv` env2) )
+ TvSubst (in_scope1 `unionInScope` in_scope2)
+ (env1 `plusVarEnv` env2)
+
-- mkOpenTvSubst and zipOpenTvSubst generate the in-scope set from
-- the types given; but it's just a thunk so with a bit of luck
-- it'll never be evaluated
subst_ty subst ty
= go ty
where
- go (TyVarTy tv) = substTyVar subst tv
- go (TyConApp tc tys) = let args = map go tys
- in args `seqList` TyConApp tc args
+ go (TyVarTy tv) = substTyVar subst tv
+ go (TyConApp tc tys) = let args = map go tys
+ in args `seqList` TyConApp tc args
- go (PredTy p) = PredTy $! (substPred subst p)
+ go (PredTy p) = PredTy $! (substPred subst p)
- go (FunTy arg res) = (FunTy $! (go arg)) $! (go res)
- go (AppTy fun arg) = mkAppTy (go fun) $! (go arg)
+ go (FunTy arg res) = (FunTy $! (go arg)) $! (go res)
+ go (AppTy fun arg) = mkAppTy (go fun) $! (go arg)
-- The mkAppTy smart constructor is important
-- we might be replacing (a Int), represented with App
-- by [Int], represented with TyConApp
- go (ForAllTy tv ty) = case substTyVarBndr subst tv of
- (subst', tv') ->
- ForAllTy tv' $! (subst_ty subst' ty)
+ go (ForAllTy tv ty) = case substTyVarBndr subst tv of
+ (subst', tv') ->
+ ForAllTy tv' $! (subst_ty subst' ty)
substTyVar :: TvSubst -> TyVar -> Type
substTyVar subst@(TvSubst _ _) tv
finding the GLB of the two. Since the partial order is a tree, they only
have a glb if one is a sub-kind of the other. In that case, we bind the
less-informative one to the more informative one. Neat, eh?
-
-
-\begin{code}
-
-\end{code}
-
-%************************************************************************
-%* *
- Functions over Kinds
-%* *
-%************************************************************************
-
-\begin{code}
--- | Essentially 'funResultTy' on kinds
-kindFunResult :: Kind -> Kind
-kindFunResult k = funResultTy k
-
--- | Essentially 'splitFunTys' on kinds
-splitKindFunTys :: Kind -> ([Kind],Kind)
-splitKindFunTys k = splitFunTys k
-
--- | Essentially 'splitFunTysN' on kinds
-splitKindFunTysN :: Int -> Kind -> ([Kind],Kind)
-splitKindFunTysN k = splitFunTysN k
-
--- | See "Type#kind_subtyping" for details of the distinction between these 'Kind's
-isUbxTupleKind, isOpenTypeKind, isArgTypeKind, isUnliftedTypeKind :: Kind -> Bool
-isOpenTypeKindCon, isUbxTupleKindCon, isArgTypeKindCon,
- isUnliftedTypeKindCon, isSubArgTypeKindCon :: TyCon -> Bool
-
-isOpenTypeKindCon tc = tyConUnique tc == openTypeKindTyConKey
-
-isOpenTypeKind (TyConApp tc _) = isOpenTypeKindCon tc
-isOpenTypeKind _ = False
-
-isUbxTupleKindCon tc = tyConUnique tc == ubxTupleKindTyConKey
-
-isUbxTupleKind (TyConApp tc _) = isUbxTupleKindCon tc
-isUbxTupleKind _ = False
-
-isArgTypeKindCon tc = tyConUnique tc == argTypeKindTyConKey
-
-isArgTypeKind (TyConApp tc _) = isArgTypeKindCon tc
-isArgTypeKind _ = False
-
-isUnliftedTypeKindCon tc = tyConUnique tc == unliftedTypeKindTyConKey
-
-isUnliftedTypeKind (TyConApp tc _) = isUnliftedTypeKindCon tc
-isUnliftedTypeKind _ = False
-
-isSubOpenTypeKind :: Kind -> Bool
--- ^ True of any sub-kind of OpenTypeKind (i.e. anything except arrow)
-isSubOpenTypeKind (FunTy k1 k2) = ASSERT2 ( isKind k1, text "isSubOpenTypeKind" <+> ppr k1 <+> text "::" <+> ppr (typeKind k1) )
- ASSERT2 ( isKind k2, text "isSubOpenTypeKind" <+> ppr k2 <+> text "::" <+> ppr (typeKind k2) )
- False
-isSubOpenTypeKind (TyConApp kc []) = ASSERT( isKind (TyConApp kc []) ) True
-isSubOpenTypeKind other = ASSERT( isKind other ) False
- -- This is a conservative answer
- -- It matters in the call to isSubKind in
- -- checkExpectedKind.
-
-isSubArgTypeKindCon kc
- | isUnliftedTypeKindCon kc = True
- | isLiftedTypeKindCon kc = True
- | isArgTypeKindCon kc = True
- | otherwise = False
-
-isSubArgTypeKind :: Kind -> Bool
--- ^ True of any sub-kind of ArgTypeKind
-isSubArgTypeKind (TyConApp kc []) = isSubArgTypeKindCon kc
-isSubArgTypeKind _ = False
-
--- | Is this a super-kind (i.e. a type-of-kinds)?
-isSuperKind :: Type -> Bool
-isSuperKind (TyConApp (skc) []) = isSuperKindTyCon skc
-isSuperKind _ = False
-
--- | Is this a kind (i.e. a type-of-types)?
-isKind :: Kind -> Bool
-isKind k = isSuperKind (typeKind k)
-
-isSubKind :: Kind -> Kind -> Bool
--- ^ @k1 \`isSubKind\` k2@ checks that @k1@ <: @k2@
-isSubKind (TyConApp kc1 []) (TyConApp kc2 []) = kc1 `isSubKindCon` kc2
-isSubKind (FunTy a1 r1) (FunTy a2 r2) = (a2 `isSubKind` a1) && (r1 `isSubKind` r2)
-isSubKind (PredTy (EqPred ty1 ty2)) (PredTy (EqPred ty1' ty2'))
- = ty1 `tcEqType` ty1' && ty2 `tcEqType` ty2'
-isSubKind _ _ = False
-
-eqKind :: Kind -> Kind -> Bool
-eqKind = tcEqType
-
-isSubKindCon :: TyCon -> TyCon -> Bool
--- ^ @kc1 \`isSubKindCon\` kc2@ checks that @kc1@ <: @kc2@
-isSubKindCon kc1 kc2
- | isLiftedTypeKindCon kc1 && isLiftedTypeKindCon kc2 = True
- | isUnliftedTypeKindCon kc1 && isUnliftedTypeKindCon kc2 = True
- | isUbxTupleKindCon kc1 && isUbxTupleKindCon kc2 = True
- | isOpenTypeKindCon kc2 = True
- -- we already know kc1 is not a fun, its a TyCon
- | isArgTypeKindCon kc2 && isSubArgTypeKindCon kc1 = True
- | otherwise = False
-
-defaultKind :: Kind -> Kind
--- ^ Used when generalising: default kind ? and ?? to *. See "Type#kind_subtyping" for more
--- information on what that means
-
--- When we generalise, we make generic type variables whose kind is
--- simple (* or *->* etc). So generic type variables (other than
--- built-in constants like 'error') always have simple kinds. This is important;
--- consider
--- f x = True
--- We want f to get type
--- f :: forall (a::*). a -> Bool
--- Not
--- f :: forall (a::??). a -> Bool
--- because that would allow a call like (f 3#) as well as (f True),
---and the calling conventions differ. This defaulting is done in TcMType.zonkTcTyVarBndr.
-defaultKind k
- | isSubOpenTypeKind k = liftedTypeKind
- | isSubArgTypeKind k = liftedTypeKind
- | otherwise = k
-
-isEqPred :: PredType -> Bool
-isEqPred (EqPred _ _) = True
-isEqPred _ = False
-\end{code}
projects / ghc-hetmet.git / blobdiff