% % (c) The University of Glasgow 2006 % (c) The GRASP/AQUA Project, Glasgow University, 1992-1998 % Type subsumption and unification \begin{code} module TcUnify ( -- Full-blown subsumption tcSubExp, tcFunResTy, tcGen, checkSigTyVars, checkSigTyVarsWrt, bleatEscapedTvs, sigCtxt, -- Various unifications unifyType, unifyTypeList, unifyTheta, unifyKind, unifyKinds, unifyFunKind, checkExpectedKind, preSubType, boxyMatchTypes, -------------------------------- -- Holes tcInfer, subFunTys, unBox, refineBox, refineBoxToTau, withBox, boxyUnify, boxyUnifyList, zapToMonotype, boxySplitListTy, boxySplitTyConApp, boxySplitAppTy, wrapFunResCoercion ) where #include "HsVersions.h" import HsSyn import TypeRep import TcMType import TcSimplify import TcEnv import TcIface import TcRnMonad -- TcType, amongst others import TcType import Type import TysPrim import Inst import TyCon import TysWiredIn import Var import VarSet import VarEnv import Name import ErrUtils import Maybes import BasicTypes import Util import Outputable \end{code} %************************************************************************ %* * \subsection{'hole' type variables} %* * %************************************************************************ \begin{code} tcInfer :: Kind -> (BoxyType -> TcM a) -> TcM (a, TcType) tcInfer kind tc_infer = do { box <- newBoxyTyVar kind ; res <- tc_infer (mkTyVarTy box) ; res_ty <- readFilledBox box -- Guaranteed filled-in by now ; return (res, res_ty) } \end{code} %************************************************************************ %* * subFunTys %* * %************************************************************************ \begin{code} subFunTys :: SDoc -- Somthing like "The function f has 3 arguments" -- or "The abstraction (\x.e) takes 1 argument" -> Arity -- Expected # of args -> BoxyRhoType -- res_ty -> ([BoxySigmaType] -> BoxyRhoType -> TcM a) -> TcM (HsWrapper, a) -- Attempt to decompse res_ty to have enough top-level arrows to -- match the number of patterns in the match group -- -- If (subFunTys n_args res_ty thing_inside) = (co_fn, res) -- and the inner call to thing_inside passes args: [a1,...,an], b -- then co_fn :: (a1 -> ... -> an -> b) -> res_ty -- -- Note that it takes a BoxyRho type, and guarantees to return a BoxyRhoType {- Error messages from subFunTys The abstraction `\Just 1 -> ...' has two arguments but its type `Maybe a -> a' has only one The equation(s) for `f' have two arguments but its type `Maybe a -> a' has only one The section `(f 3)' requires 'f' to take two arguments but its type `Int -> Int' has only one The function 'f' is applied to two arguments but its type `Int -> Int' has only one -} subFunTys error_herald n_pats res_ty thing_inside = loop n_pats [] res_ty where -- In 'loop', the parameter 'arg_tys' accumulates -- the arg types so far, in *reverse order* loop n args_so_far res_ty | Just res_ty' <- tcView res_ty = loop n args_so_far res_ty' loop n args_so_far res_ty | isSigmaTy res_ty -- Do this before checking n==0, because we -- guarantee to return a BoxyRhoType, not a BoxySigmaType = do { (gen_fn, (co_fn, res)) <- tcGen res_ty emptyVarSet $ \ _ res_ty' -> loop n args_so_far res_ty' ; return (gen_fn <.> co_fn, res) } loop 0 args_so_far res_ty = do { res <- thing_inside (reverse args_so_far) res_ty ; return (idHsWrapper, res) } loop n args_so_far (FunTy arg_ty res_ty) = do { (co_fn, res) <- loop (n-1) (arg_ty:args_so_far) res_ty ; co_fn' <- wrapFunResCoercion [arg_ty] co_fn ; return (co_fn', res) } -- res_ty might have a type variable at the head, such as (a b c), -- in which case we must fill in with (->). Simplest thing to do -- is to use boxyUnify, but we catch failure and generate our own -- error message on failure loop n args_so_far res_ty@(AppTy _ _) = do { [arg_ty',res_ty'] <- newBoxyTyVarTys [argTypeKind, openTypeKind] ; (_, mb_unit) <- tryTcErrs $ boxyUnify res_ty (FunTy arg_ty' res_ty') ; if isNothing mb_unit then bale_out args_so_far else loop n args_so_far (FunTy arg_ty' res_ty') } loop n args_so_far (TyVarTy tv) | isTyConableTyVar tv = do { cts <- readMetaTyVar tv ; case cts of Indirect ty -> loop n args_so_far ty Flexi -> do { (res_ty:arg_tys) <- withMetaTvs tv kinds mk_res_ty ; res <- thing_inside (reverse args_so_far ++ arg_tys) res_ty ; return (idHsWrapper, res) } } where mk_res_ty (res_ty' : arg_tys') = mkFunTys arg_tys' res_ty' mk_res_ty [] = panic "TcUnify.mk_res_ty1" kinds = openTypeKind : take n (repeat argTypeKind) -- Note argTypeKind: the args can have an unboxed type, -- but not an unboxed tuple. loop n args_so_far res_ty = bale_out args_so_far bale_out args_so_far = do { env0 <- tcInitTidyEnv ; res_ty' <- zonkTcType res_ty ; let (env1, res_ty'') = tidyOpenType env0 res_ty' ; failWithTcM (env1, mk_msg res_ty'' (length args_so_far)) } mk_msg res_ty n_actual = error_herald <> comma $$ sep [ptext SLIT("but its type") <+> quotes (pprType res_ty), if n_actual == 0 then ptext SLIT("has none") else ptext SLIT("has only") <+> speakN n_actual] \end{code} \begin{code} ---------------------- boxySplitTyConApp :: TyCon -- T :: k1 -> ... -> kn -> * -> BoxyRhoType -- Expected type (T a b c) -> TcM [BoxySigmaType] -- Element types, a b c -- It's used for wired-in tycons, so we call checkWiredInTyCOn -- Precondition: never called with FunTyCon -- Precondition: input type :: * boxySplitTyConApp tc orig_ty = do { checkWiredInTyCon tc ; loop (tyConArity tc) [] orig_ty } where loop n_req args_so_far ty | Just ty' <- tcView ty = loop n_req args_so_far ty' loop n_req args_so_far (TyConApp tycon args) | tc == tycon = ASSERT( n_req == length args) -- ty::* return (args ++ args_so_far) loop n_req args_so_far (AppTy fun arg) = loop (n_req - 1) (arg:args_so_far) fun loop n_req args_so_far (TyVarTy tv) | isTyConableTyVar tv = do { cts <- readMetaTyVar tv ; case cts of Indirect ty -> loop n_req args_so_far ty Flexi -> do { arg_tys <- withMetaTvs tv arg_kinds mk_res_ty ; return (arg_tys ++ args_so_far) } } where mk_res_ty arg_tys' = mkTyConApp tc arg_tys' arg_kinds = map tyVarKind (take n_req (tyConTyVars tc)) loop _ _ _ = boxySplitFailure (mkTyConApp tc (mkTyVarTys (tyConTyVars tc))) orig_ty ---------------------- boxySplitListTy :: BoxyRhoType -> TcM BoxySigmaType -- Special case for lists boxySplitListTy exp_ty = do { [elt_ty] <- boxySplitTyConApp listTyCon exp_ty ; return elt_ty } ---------------------- boxySplitAppTy :: BoxyRhoType -- Type to split: m a -> TcM (BoxySigmaType, BoxySigmaType) -- Returns m, a -- Assumes (m: * -> k), where k is the kind of the incoming type -- If the incoming type is boxy, then so are the result types; and vice versa boxySplitAppTy orig_ty = loop orig_ty where loop ty | Just ty' <- tcView ty = loop ty' loop ty | Just (fun_ty, arg_ty) <- tcSplitAppTy_maybe ty = return (fun_ty, arg_ty) loop (TyVarTy tv) | isTyConableTyVar tv = do { cts <- readMetaTyVar tv ; case cts of Indirect ty -> loop ty Flexi -> do { [fun_ty,arg_ty] <- withMetaTvs tv kinds mk_res_ty ; return (fun_ty, arg_ty) } } where mk_res_ty [fun_ty', arg_ty'] = mkAppTy fun_ty' arg_ty' mk_res_ty other = panic "TcUnify.mk_res_ty2" tv_kind = tyVarKind tv kinds = [mkArrowKind liftedTypeKind (simpleKind True tv_kind), -- m :: * -> k liftedTypeKind] -- arg type :: * -- The simpleKind is a bit smelly. If you remove it, -- try compiling f x = do { x } -- and you'll get a kind mis-match. It smells, but -- not enough to lose sleep over. loop _ = boxySplitFailure (mkAppTy alphaTy betaTy) orig_ty ------------------ boxySplitFailure actual_ty expected_ty = unifyMisMatch False False actual_ty expected_ty -- "outer" is False, so we don't pop the context -- which is what we want since we have not pushed one! \end{code} -------------------------------- -- withBoxes: the key utility function -------------------------------- \begin{code} withMetaTvs :: TcTyVar -- An unfilled-in, non-skolem, meta type variable -> [Kind] -- Make fresh boxes (with the same BoxTv/TauTv setting as tv) -> ([BoxySigmaType] -> BoxySigmaType) -- Constructs the type to assign -- to the original var -> TcM [BoxySigmaType] -- Return the fresh boxes -- It's entirely possible for the [kind] to be empty. -- For example, when pattern-matching on True, -- we call boxySplitTyConApp passing a boolTyCon -- Invariant: tv is still Flexi withMetaTvs tv kinds mk_res_ty | isBoxyTyVar tv = do { box_tvs <- mapM (newMetaTyVar BoxTv) kinds ; let box_tys = mkTyVarTys box_tvs ; checkUpdateMeta False tv (metaTvRef tv) (mk_res_ty box_tys) ; return box_tys } | otherwise -- Non-boxy meta type variable = do { tau_tys <- mapM newFlexiTyVarTy kinds ; checkUpdateMeta False tv (metaTvRef tv) (mk_res_ty tau_tys) -- Write it *first* -- Sure to be a tau-type ; return tau_tys } withBox :: Kind -> (BoxySigmaType -> TcM a) -> TcM (a, TcType) -- Allocate a *boxy* tyvar withBox kind thing_inside = do { box_tv <- newMetaTyVar BoxTv kind ; res <- thing_inside (mkTyVarTy box_tv) ; ty <- readFilledBox box_tv ; return (res, ty) } \end{code} %************************************************************************ %* * Approximate boxy matching %* * %************************************************************************ \begin{code} preSubType :: [TcTyVar] -- Quantified type variables -> TcTyVarSet -- Subset of quantified type variables -- see Note [Pre-sub boxy] -> TcType -- The rho-type part; quantified tyvars scopes over this -> BoxySigmaType -- Matching type from the context -> TcM [TcType] -- Types to instantiate the tyvars -- Perform pre-subsumption, and return suitable types -- to instantiate the quantified type varibles: -- info from the pre-subsumption, if there is any -- a boxy type variable otherwise -- -- Note [Pre-sub boxy] -- The 'btvs' are a subset of 'qtvs'. They are the ones we can -- instantiate to a boxy type variable, because they'll definitely be -- filled in later. This isn't always the case; sometimes we have type -- variables mentioned in the context of the type, but not the body; -- f :: forall a b. C a b => a -> a -- Then we may land up with an unconstrained 'b', so we want to -- instantiate it to a monotype (non-boxy) type variable -- -- The 'qtvs' that are *neither* fixed by the pre-subsumption, *nor* are in 'btvs', -- are instantiated to TauTv meta variables. preSubType qtvs btvs qty expected_ty = do { tys <- mapM inst_tv qtvs ; traceTc (text "preSubType" <+> (ppr qtvs $$ ppr btvs $$ ppr qty $$ ppr expected_ty $$ ppr pre_subst $$ ppr tys)) ; return tys } where pre_subst = boxySubMatchType (mkVarSet qtvs) qty expected_ty inst_tv tv | Just boxy_ty <- lookupTyVar pre_subst tv = return boxy_ty | tv `elemVarSet` btvs = do { tv' <- tcInstBoxyTyVar tv ; return (mkTyVarTy tv') } | otherwise = do { tv' <- tcInstTyVar tv ; return (mkTyVarTy tv') } boxySubMatchType :: TcTyVarSet -> TcType -- The "template"; the tyvars are skolems -> BoxyRhoType -- Type to match (note a *Rho* type) -> TvSubst -- Substitution of the [TcTyVar] to BoxySigmaTypes -- boxySubMatchType implements the Pre-subsumption judgement, in Fig 5 of the paper -- "Boxy types: inference for higher rank types and impredicativity" boxySubMatchType tmpl_tvs tmpl_ty boxy_ty = go tmpl_tvs tmpl_ty emptyVarSet boxy_ty where go t_tvs t_ty b_tvs b_ty | Just t_ty' <- tcView t_ty = go t_tvs t_ty' b_tvs b_ty | Just b_ty' <- tcView b_ty = go t_tvs t_ty b_tvs b_ty' go t_tvs (TyVarTy _) b_tvs b_ty = emptyTvSubst -- Rule S-ANY; no bindings -- Rule S-ANY covers (a) type variables and (b) boxy types -- in the template. Both look like a TyVarTy. -- See Note [Sub-match] below go t_tvs t_ty b_tvs b_ty | isSigmaTy t_ty, (tvs, _, t_tau) <- tcSplitSigmaTy t_ty = go (t_tvs `delVarSetList` tvs) t_tau b_tvs b_ty -- Rule S-SPEC -- Under a forall on the left, if there is shadowing, -- do not bind! Hence the delVarSetList. | isSigmaTy b_ty, (tvs, _, b_tau) <- tcSplitSigmaTy b_ty = go t_tvs t_ty (extendVarSetList b_tvs tvs) b_tau -- Rule S-SKOL -- Add to the variables we must not bind to -- NB: it's *important* to discard the theta part. Otherwise -- consider (forall a. Eq a => a -> b) ~<~ (Int -> Int -> Bool) -- and end up with a completely bogus binding (b |-> Bool), by lining -- up the (Eq a) with the Int, whereas it should be (b |-> (Int->Bool)). -- This pre-subsumption stuff can return too few bindings, but it -- must *never* return bogus info. go t_tvs (FunTy arg1 res1) b_tvs (FunTy arg2 res2) -- Rule S-FUN = boxy_match t_tvs arg1 b_tvs arg2 (go t_tvs res1 b_tvs res2) -- Match the args, and sub-match the results go t_tvs t_ty b_tvs b_ty = boxy_match t_tvs t_ty b_tvs b_ty emptyTvSubst -- Otherwise defer to boxy matching -- This covers TyConApp, AppTy, PredTy \end{code} Note [Sub-match] ~~~~~~~~~~~~~~~~ Consider this head :: [a] -> a |- head xs : We will do a boxySubMatchType between a ~ But we *don't* want to match [a |-> ] because (a) The box should be filled in with a rho-type, but but the returned substitution maps TyVars to boxy *sigma* types (b) In any case, the right final answer might be *either* instantiate 'a' with a rho-type or a sigma type head xs : Int vs head xs : forall b. b->b So the matcher MUST NOT make a choice here. In general, we only bind a template type variable in boxyMatchType, not in boxySubMatchType. \begin{code} boxyMatchTypes :: TcTyVarSet -> [TcType] -- The "template"; the tyvars are skolems -> [BoxySigmaType] -- Type to match -> TvSubst -- Substitution of the [TcTyVar] to BoxySigmaTypes -- boxyMatchTypes implements the Pre-matching judgement, in Fig 5 of the paper -- "Boxy types: inference for higher rank types and impredicativity" -- Find a *boxy* substitution that makes the template look as much -- like the BoxySigmaType as possible. -- It's always ok to return an empty substitution; -- anything more is jam on the pudding -- -- NB1: This is a pure, non-monadic function. -- It does no unification, and cannot fail -- -- Precondition: the arg lengths are equal -- Precondition: none of the template type variables appear anywhere in the [BoxySigmaType] -- ------------ boxyMatchTypes tmpl_tvs tmpl_tys boxy_tys = ASSERT( length tmpl_tys == length boxy_tys ) boxy_match_s tmpl_tvs tmpl_tys emptyVarSet boxy_tys emptyTvSubst -- ToDo: add error context? boxy_match_s tmpl_tvs [] boxy_tvs [] subst = subst boxy_match_s tmpl_tvs (t_ty:t_tys) boxy_tvs (b_ty:b_tys) subst = boxy_match tmpl_tvs t_ty boxy_tvs b_ty $ boxy_match_s tmpl_tvs t_tys boxy_tvs b_tys subst boxy_match_s tmpl_tvs _ boxy_tvs _ subst = panic "boxy_match_s" -- Lengths do not match ------------ boxy_match :: TcTyVarSet -> TcType -- Template -> TcTyVarSet -- boxy_tvs: do not bind template tyvars to any of these -> BoxySigmaType -- Match against this type -> TvSubst -> TvSubst -- The boxy_tvs argument prevents this match: -- [a] forall b. a ~ forall b. b -- We don't want to bind the template variable 'a' -- to the quantified type variable 'b'! boxy_match tmpl_tvs orig_tmpl_ty boxy_tvs orig_boxy_ty subst = go orig_tmpl_ty orig_boxy_ty where go t_ty b_ty | Just t_ty' <- tcView t_ty = go t_ty' b_ty | Just b_ty' <- tcView b_ty = go t_ty b_ty' go ty1 ty2 -- C.f. the isSigmaTy case for boxySubMatchType | isSigmaTy ty1 , (tvs1, _, tau1) <- tcSplitSigmaTy ty1 , (tvs2, _, tau2) <- tcSplitSigmaTy ty2 , equalLength tvs1 tvs2 = boxy_match (tmpl_tvs `delVarSetList` tvs1) tau1 (boxy_tvs `extendVarSetList` tvs2) tau2 subst go (TyConApp tc1 tys1) (TyConApp tc2 tys2) | tc1 == tc2 = go_s tys1 tys2 go (FunTy arg1 res1) (FunTy arg2 res2) = go_s [arg1,res1] [arg2,res2] go t_ty b_ty | Just (s1,t1) <- tcSplitAppTy_maybe t_ty, Just (s2,t2) <- tcSplitAppTy_maybe b_ty, typeKind t2 `isSubKind` typeKind t1 -- Maintain invariant = go_s [s1,t1] [s2,t2] go (TyVarTy tv) b_ty | tv `elemVarSet` tmpl_tvs -- Template type variable in the template , boxy_tvs `disjointVarSet` tyVarsOfType orig_boxy_ty , typeKind b_ty `isSubKind` tyVarKind tv -- See Note [Matching kinds] = extendTvSubst subst tv boxy_ty' | otherwise = subst -- Ignore others where boxy_ty' = case lookupTyVar subst tv of Nothing -> orig_boxy_ty Just ty -> ty `boxyLub` orig_boxy_ty go _ _ = emptyTvSubst -- It's important to *fail* by returning the empty substitution -- Example: Tree a ~ Maybe Int -- We do not want to bind (a |-> Int) in pre-matching, because that can give very -- misleading error messages. An even more confusing case is -- a -> b ~ Maybe Int -- Then we do not want to bind (b |-> Int)! It's always safe to discard bindings -- from this pre-matching phase. -------- go_s tys1 tys2 = boxy_match_s tmpl_tvs tys1 boxy_tvs tys2 subst boxyLub :: BoxySigmaType -> BoxySigmaType -> BoxySigmaType -- Combine boxy information from the two types -- If there is a conflict, return the first boxyLub orig_ty1 orig_ty2 = go orig_ty1 orig_ty2 where go (AppTy f1 a1) (AppTy f2 a2) = AppTy (boxyLub f1 f2) (boxyLub a1 a2) go (FunTy f1 a1) (FunTy f2 a2) = FunTy (boxyLub f1 f2) (boxyLub a1 a2) go (TyConApp tc1 ts1) (TyConApp tc2 ts2) | tc1 == tc2, length ts1 == length ts2 = TyConApp tc1 (zipWith boxyLub ts1 ts2) go (TyVarTy tv1) ty2 -- This is the whole point; | isTcTyVar tv1, isBoxyTyVar tv1 -- choose ty2 if ty2 is a box = orig_ty2 -- Look inside type synonyms, but only if the naive version fails go ty1 ty2 | Just ty1' <- tcView ty1 = go ty1' ty2 | Just ty2' <- tcView ty1 = go ty1 ty2' -- For now, we don't look inside ForAlls, PredTys go ty1 ty2 = orig_ty1 -- Default \end{code} Note [Matching kinds] ~~~~~~~~~~~~~~~~~~~~~ The target type might legitimately not be a sub-kind of template. For example, suppose the target is simply a box with an OpenTypeKind, and the template is a type variable with LiftedTypeKind. Then it's ok (because the target type will later be refined). We simply don't bind the template type variable. It might also be that the kind mis-match is an error. For example, suppose we match the template (a -> Int) against (Int# -> Int), where the template type variable 'a' has LiftedTypeKind. This matching function does not fail; it simply doesn't bind the template. Later stuff will fail. %************************************************************************ %* * Subsumption checking %* * %************************************************************************ All the tcSub calls have the form tcSub expected_ty offered_ty which checks offered_ty <= expected_ty That is, that a value of type offered_ty is acceptable in a place expecting a value of type expected_ty. It returns a coercion function co_fn :: offered_ty -> expected_ty which takes an HsExpr of type offered_ty into one of type expected_ty. \begin{code} ----------------- tcSubExp :: BoxySigmaType -> BoxySigmaType -> TcM HsWrapper -- Locally used only -- (tcSub act exp) checks that -- act <= exp tcSubExp actual_ty expected_ty = -- addErrCtxtM (unifyCtxt actual_ty expected_ty) $ -- Adding the error context here leads to some very confusing error -- messages, such as "can't match forall a. a->a with forall a. a->a" -- Example is tcfail165: -- do var <- newEmptyMVar :: IO (MVar (forall a. Show a => a -> String)) -- putMVar var (show :: forall a. Show a => a -> String) -- Here the info does not flow from the 'var' arg of putMVar to its 'show' arg -- but after zonking it looks as if it does! -- -- So instead I'm adding the error context when moving from tc_sub to u_tys traceTc (text "tcSubExp" <+> ppr actual_ty <+> ppr expected_ty) >> tc_sub SubOther actual_ty actual_ty False expected_ty expected_ty tcFunResTy :: Name -> BoxySigmaType -> BoxySigmaType -> TcM HsWrapper -- Locally used only tcFunResTy fun actual_ty expected_ty = traceTc (text "tcFunResTy" <+> ppr actual_ty <+> ppr expected_ty) >> tc_sub (SubFun fun) actual_ty actual_ty False expected_ty expected_ty ----------------- data SubCtxt = SubDone -- Error-context already pushed | SubFun Name -- Context is tcFunResTy | SubOther -- Context is something else tc_sub :: SubCtxt -- How to add an error-context -> BoxySigmaType -- actual_ty, before expanding synonyms -> BoxySigmaType -- ..and after -> InBox -- True <=> expected_ty is inside a box -> BoxySigmaType -- expected_ty, before -> BoxySigmaType -- ..and after -> TcM HsWrapper -- The acual_ty is never inside a box -- IMPORTANT pre-condition: if the args contain foralls, the bound type -- variables are visible non-monadically -- (i.e. tha args are sufficiently zonked) -- This invariant is needed so that we can "see" the foralls, ad -- e.g. in the SPEC rule where we just use splitSigmaTy tc_sub sub_ctxt act_sty act_ty exp_ib exp_sty exp_ty = traceTc (text "tc_sub" <+> ppr act_ty $$ ppr exp_ty) >> tc_sub1 sub_ctxt act_sty act_ty exp_ib exp_sty exp_ty -- This indirection is just here to make -- it easy to insert a debug trace! tc_sub1 sub_ctxt act_sty act_ty exp_ib exp_sty exp_ty | Just exp_ty' <- tcView exp_ty = tc_sub sub_ctxt act_sty act_ty exp_ib exp_sty exp_ty' tc_sub1 sub_ctxt act_sty act_ty exp_ib exp_sty exp_ty | Just act_ty' <- tcView act_ty = tc_sub sub_ctxt act_sty act_ty' exp_ib exp_sty exp_ty ----------------------------------- -- Rule SBOXY, plus other cases when act_ty is a type variable -- Just defer to boxy matching -- This rule takes precedence over SKOL! tc_sub1 sub_ctxt act_sty (TyVarTy tv) exp_ib exp_sty exp_ty = do { addSubCtxt sub_ctxt act_sty exp_sty $ uVar True False tv exp_ib exp_sty exp_ty ; return idHsWrapper } ----------------------------------- -- Skolemisation case (rule SKOL) -- actual_ty: d:Eq b => b->b -- expected_ty: forall a. Ord a => a->a -- co_fn e /\a. \d2:Ord a. let d = eqFromOrd d2 in e -- It is essential to do this *before* the specialisation case -- Example: f :: (Eq a => a->a) -> ... -- g :: Ord b => b->b -- Consider f g ! tc_sub1 sub_ctxt act_sty act_ty exp_ib exp_sty exp_ty | isSigmaTy exp_ty = if exp_ib then -- SKOL does not apply if exp_ty is inside a box defer_to_boxy_matching sub_ctxt act_sty act_ty exp_ib exp_sty exp_ty else do { (gen_fn, co_fn) <- tcGen exp_ty act_tvs $ \ _ body_exp_ty -> tc_sub sub_ctxt act_sty act_ty False body_exp_ty body_exp_ty ; return (gen_fn <.> co_fn) } where act_tvs = tyVarsOfType act_ty -- It's really important to check for escape wrt -- the free vars of both expected_ty *and* actual_ty ----------------------------------- -- Specialisation case (rule ASPEC): -- actual_ty: forall a. Ord a => a->a -- expected_ty: Int -> Int -- co_fn e = e Int dOrdInt tc_sub1 sub_ctxt act_sty actual_ty exp_ib exp_sty expected_ty -- Implements the new SPEC rule in the Appendix of the paper -- "Boxy types: inference for higher rank types and impredicativity" -- (This appendix isn't in the published version.) -- The idea is to *first* do pre-subsumption, and then full subsumption -- Example: forall a. a->a <= Int -> (forall b. Int) -- Pre-subsumpion finds a|->Int, and that works fine, whereas -- just running full subsumption would fail. | isSigmaTy actual_ty = do { -- Perform pre-subsumption, and instantiate -- the type with info from the pre-subsumption; -- boxy tyvars if pre-subsumption gives no info let (tyvars, theta, tau) = tcSplitSigmaTy actual_ty tau_tvs = exactTyVarsOfType tau ; inst_tys <- if exp_ib then -- Inside a box, do not do clever stuff do { tyvars' <- mapM tcInstBoxyTyVar tyvars ; return (mkTyVarTys tyvars') } else -- Outside, do clever stuff preSubType tyvars tau_tvs tau expected_ty ; let subst' = zipOpenTvSubst tyvars inst_tys tau' = substTy subst' tau -- Perform a full subsumption check ; traceTc (text "tc_sub_spec" <+> vcat [ppr actual_ty, ppr tyvars <+> ppr theta <+> ppr tau, ppr tau']) ; co_fn2 <- tc_sub sub_ctxt tau' tau' exp_ib exp_sty expected_ty -- Deal with the dictionaries -- The origin gives a helpful origin when we have -- a function with type f :: Int -> forall a. Num a => ... -- This way the (Num a) dictionary gets an OccurrenceOf f origin ; let orig = case sub_ctxt of SubFun n -> OccurrenceOf n other -> InstSigOrigin -- Unhelpful ; co_fn1 <- instCall orig inst_tys (substTheta subst' theta) ; return (co_fn2 <.> co_fn1) } ----------------------------------- -- Function case (rule F1) tc_sub1 sub_ctxt act_sty (FunTy act_arg act_res) exp_ib exp_sty (FunTy exp_arg exp_res) = addSubCtxt sub_ctxt act_sty exp_sty $ tc_sub_funs act_arg act_res exp_ib exp_arg exp_res -- Function case (rule F2) tc_sub1 sub_ctxt act_sty act_ty@(FunTy act_arg act_res) _ exp_sty (TyVarTy exp_tv) | isBoxyTyVar exp_tv = addSubCtxt sub_ctxt act_sty exp_sty $ do { cts <- readMetaTyVar exp_tv ; case cts of Indirect ty -> tc_sub SubDone act_sty act_ty True exp_sty ty Flexi -> do { [arg_ty,res_ty] <- withMetaTvs exp_tv fun_kinds mk_res_ty ; tc_sub_funs act_arg act_res True arg_ty res_ty } } where mk_res_ty [arg_ty', res_ty'] = mkFunTy arg_ty' res_ty' mk_res_ty other = panic "TcUnify.mk_res_ty3" fun_kinds = [argTypeKind, openTypeKind] -- Everything else: defer to boxy matching tc_sub1 sub_ctxt act_sty actual_ty exp_ib exp_sty expected_ty = defer_to_boxy_matching sub_ctxt act_sty actual_ty exp_ib exp_sty expected_ty ----------------------------------- defer_to_boxy_matching sub_ctxt act_sty actual_ty exp_ib exp_sty expected_ty = do { addSubCtxt sub_ctxt act_sty exp_sty $ u_tys outer False act_sty actual_ty exp_ib exp_sty expected_ty ; return idHsWrapper } where outer = case sub_ctxt of -- Ugh SubDone -> False other -> True ----------------------------------- tc_sub_funs act_arg act_res exp_ib exp_arg exp_res = do { uTys False act_arg exp_ib exp_arg ; co_fn_res <- tc_sub SubDone act_res act_res exp_ib exp_res exp_res ; wrapFunResCoercion [exp_arg] co_fn_res } ----------------------------------- wrapFunResCoercion :: [TcType] -- Type of args -> HsWrapper -- HsExpr a -> HsExpr b -> TcM HsWrapper -- HsExpr (arg_tys -> a) -> HsExpr (arg_tys -> b) wrapFunResCoercion arg_tys co_fn_res | isIdHsWrapper co_fn_res = return idHsWrapper | null arg_tys = return co_fn_res | otherwise = do { arg_ids <- newSysLocalIds FSLIT("sub") arg_tys ; return (mkWpLams arg_ids <.> co_fn_res <.> mkWpApps arg_ids) } \end{code} %************************************************************************ %* * \subsection{Generalisation} %* * %************************************************************************ \begin{code} tcGen :: BoxySigmaType -- expected_ty -> TcTyVarSet -- Extra tyvars that the universally -- quantified tyvars of expected_ty -- must not be unified -> ([TcTyVar] -> BoxyRhoType -> TcM result) -> TcM (HsWrapper, result) -- The expression has type: spec_ty -> expected_ty tcGen expected_ty extra_tvs thing_inside -- We expect expected_ty to be a forall-type -- If not, the call is a no-op = do { -- We want the GenSkol info in the skolemised type variables to -- mention the *instantiated* tyvar names, so that we get a -- good error message "Rigid variable 'a' is bound by (forall a. a->a)" -- Hence the tiresome but innocuous fixM ((tvs', theta', rho'), skol_info) <- fixM (\ ~(_, skol_info) -> do { (forall_tvs, theta, rho_ty) <- tcInstSkolType skol_info expected_ty -- Get loation from monad, not from expected_ty ; let skol_info = GenSkol forall_tvs (mkPhiTy theta rho_ty) ; return ((forall_tvs, theta, rho_ty), skol_info) }) #ifdef DEBUG ; traceTc (text "tcGen" <+> vcat [text "extra_tvs" <+> ppr extra_tvs, text "expected_ty" <+> ppr expected_ty, text "inst ty" <+> ppr tvs' <+> ppr theta' <+> ppr rho', text "free_tvs" <+> ppr free_tvs]) #endif -- Type-check the arg and unify with poly type ; (result, lie) <- getLIE (thing_inside tvs' rho') -- Check that the "forall_tvs" havn't been constrained -- The interesting bit here is that we must include the free variables -- of the expected_ty. Here's an example: -- runST (newVar True) -- Here, if we don't make a check, we'll get a type (ST s (MutVar s Bool)) -- for (newVar True), with s fresh. Then we unify with the runST's arg type -- forall s'. ST s' a. That unifies s' with s, and a with MutVar s Bool. -- So now s' isn't unconstrained because it's linked to a. -- Conclusion: include the free vars of the expected_ty in the -- list of "free vars" for the signature check. ; loc <- getInstLoc (SigOrigin skol_info) ; dicts <- newDictBndrs loc theta' ; inst_binds <- tcSimplifyCheck loc tvs' dicts lie ; checkSigTyVarsWrt free_tvs tvs' ; traceTc (text "tcGen:done") ; let -- The WpLet binds any Insts which came out of the simplification. dict_ids = map instToId dicts co_fn = mkWpTyLams tvs' <.> mkWpLams dict_ids <.> WpLet inst_binds ; returnM (co_fn, result) } where free_tvs = tyVarsOfType expected_ty `unionVarSet` extra_tvs \end{code} %************************************************************************ %* * Boxy unification %* * %************************************************************************ The exported functions are all defined as versions of some non-exported generic functions. \begin{code} boxyUnify :: BoxyType -> BoxyType -> TcM () -- Acutal and expected, respectively boxyUnify ty1 ty2 = addErrCtxtM (unifyCtxt ty1 ty2) $ uTysOuter False ty1 False ty2 --------------- boxyUnifyList :: [BoxyType] -> [BoxyType] -> TcM () -- Arguments should have equal length -- Acutal and expected types boxyUnifyList tys1 tys2 = uList boxyUnify tys1 tys2 --------------- unifyType :: TcTauType -> TcTauType -> TcM () -- No boxes expected inside these types -- Acutal and expected types unifyType ty1 ty2 -- ty1 expected, ty2 inferred = ASSERT2( not (isBoxyTy ty1), ppr ty1 ) ASSERT2( not (isBoxyTy ty2), ppr ty2 ) addErrCtxtM (unifyCtxt ty1 ty2) $ uTysOuter True ty1 True ty2 --------------- unifyPred :: PredType -> PredType -> TcM () -- Acutal and expected types unifyPred p1 p2 = addErrCtxtM (unifyCtxt (mkPredTy p1) (mkPredTy p2)) $ uPred True True p1 True p2 unifyTheta :: TcThetaType -> TcThetaType -> TcM () -- Acutal and expected types unifyTheta theta1 theta2 = do { checkTc (equalLength theta1 theta2) (vcat [ptext SLIT("Contexts differ in length"), nest 2 $ parens $ ptext SLIT("Use -fglasgow-exts to allow this")]) ; uList unifyPred theta1 theta2 } --------------- uList :: (a -> a -> TcM ()) -> [a] -> [a] -> TcM () -- Unify corresponding elements of two lists of types, which -- should be f equal length. We charge down the list explicitly so that -- we can complain if their lengths differ. uList unify [] [] = return () uList unify (ty1:tys1) (ty2:tys2) = do { unify ty1 ty2; uList unify tys1 tys2 } uList unify ty1s ty2s = panic "Unify.uList: mismatched type lists!" \end{code} @unifyTypeList@ takes a single list of @TauType@s and unifies them all together. It is used, for example, when typechecking explicit lists, when all the elts should be of the same type. \begin{code} unifyTypeList :: [TcTauType] -> TcM () unifyTypeList [] = returnM () unifyTypeList [ty] = returnM () unifyTypeList (ty1:tys@(ty2:_)) = do { unifyType ty1 ty2 ; unifyTypeList tys } \end{code} %************************************************************************ %* * \subsection[Unify-uTys]{@uTys@: getting down to business} %* * %************************************************************************ @uTys@ is the heart of the unifier. Each arg happens twice, because we want to report errors in terms of synomyms if poss. The first of the pair is used in error messages only; it is always the same as the second, except that if the first is a synonym then the second may be a de-synonym'd version. This way we get better error messages. We call the first one \tr{ps_ty1}, \tr{ps_ty2} for ``possible synomym''. \begin{code} type InBox = Bool -- True <=> we are inside a box -- False <=> we are outside a box -- The importance of this is that if we get "filled-box meets -- filled-box", we'll look into the boxes and unify... but -- we must not allow polytypes. But if we are in a box on -- just one side, then we can allow polytypes type Outer = Bool -- True <=> this is the outer level of a unification -- so that the types being unified are the -- very ones we began with, not some sub -- component or synonym expansion -- The idea is that if Outer is true then unifyMisMatch should -- pop the context to remove the "Expected/Acutal" context uTysOuter, uTys :: InBox -> TcType -- ty1 is the *expected* type -> InBox -> TcType -- ty2 is the *actual* type -> TcM () uTysOuter nb1 ty1 nb2 ty2 = do { traceTc (text "uTysOuter" <+> ppr ty1 <+> ppr ty2) ; u_tys True nb1 ty1 ty1 nb2 ty2 ty2 } uTys nb1 ty1 nb2 ty2 = do { traceTc (text "uTys" <+> ppr ty1 <+> ppr ty2) ; u_tys False nb1 ty1 ty1 nb2 ty2 ty2 } -------------- uTys_s :: InBox -> [TcType] -- ty1 is the *actual* types -> InBox -> [TcType] -- ty2 is the *expected* types -> TcM () uTys_s nb1 [] nb2 [] = returnM () uTys_s nb1 (ty1:tys1) nb2 (ty2:tys2) = do { uTys nb1 ty1 nb2 ty2 ; uTys_s nb1 tys1 nb2 tys2 } uTys_s nb1 ty1s nb2 ty2s = panic "Unify.uTys_s: mismatched type lists!" -------------- u_tys :: Outer -> InBox -> TcType -> TcType -- ty1 is the *actual* type -> InBox -> TcType -> TcType -- ty2 is the *expected* type -> TcM () u_tys outer nb1 orig_ty1 ty1 nb2 orig_ty2 ty2 = go outer ty1 ty2 where -- Always expand synonyms (see notes at end) -- (this also throws away FTVs) go outer ty1 ty2 | Just ty1' <- tcView ty1 = go False ty1' ty2 | Just ty2' <- tcView ty2 = go False ty1 ty2' -- Variables; go for uVar go outer (TyVarTy tyvar1) ty2 = uVar outer False tyvar1 nb2 orig_ty2 ty2 go outer ty1 (TyVarTy tyvar2) = uVar outer True tyvar2 nb1 orig_ty1 ty1 -- "True" means args swapped -- The case for sigma-types must *follow* the variable cases -- because a boxy variable can be filed with a polytype; -- but must precede FunTy, because ((?x::Int) => ty) look -- like a FunTy; there isn't necy a forall at the top go _ ty1 ty2 | isSigmaTy ty1 || isSigmaTy ty2 = do { checkM (equalLength tvs1 tvs2) (unifyMisMatch outer False orig_ty1 orig_ty2) ; tvs <- tcInstSkolTyVars UnkSkol tvs1 -- Not a helpful SkolemInfo -- Get location from monad, not from tvs1 ; let tys = mkTyVarTys tvs in_scope = mkInScopeSet (mkVarSet tvs) phi1 = substTy (mkTvSubst in_scope (zipTyEnv tvs1 tys)) body1 phi2 = substTy (mkTvSubst in_scope (zipTyEnv tvs2 tys)) body2 (theta1,tau1) = tcSplitPhiTy phi1 (theta2,tau2) = tcSplitPhiTy phi2 ; addErrCtxtM (unifyForAllCtxt tvs phi1 phi2) $ do { checkM (equalLength theta1 theta2) (unifyMisMatch outer False orig_ty1 orig_ty2) ; uPreds False nb1 theta1 nb2 theta2 ; uTys nb1 tau1 nb2 tau2 -- Check for escape; e.g. (forall a. a->b) ~ (forall a. a->a) ; free_tvs <- zonkTcTyVarsAndFV (varSetElems (tyVarsOfType ty1 `unionVarSet` tyVarsOfType ty2)) ; ifM (any (`elemVarSet` free_tvs) tvs) (bleatEscapedTvs free_tvs tvs tvs) -- If both sides are inside a box, we are in a "box-meets-box" -- situation, and we should not have a polytype at all. -- If we get here we have two boxes, already filled with -- the same polytype... but it should be a monotype. -- This check comes last, because the error message is -- extremely unhelpful. ; ifM (nb1 && nb2) (notMonoType ty1) }} where (tvs1, body1) = tcSplitForAllTys ty1 (tvs2, body2) = tcSplitForAllTys ty2 -- Predicates go outer (PredTy p1) (PredTy p2) = uPred False nb1 p1 nb2 p2 -- Type constructors must match go _ (TyConApp con1 tys1) (TyConApp con2 tys2) | con1 == con2 = uTys_s nb1 tys1 nb2 tys2 -- See Note [TyCon app] -- Functions; just check the two parts go _ (FunTy fun1 arg1) (FunTy fun2 arg2) = do { uTys nb1 fun1 nb2 fun2 ; uTys nb1 arg1 nb2 arg2 } -- Applications need a bit of care! -- They can match FunTy and TyConApp, so use splitAppTy_maybe -- NB: we've already dealt with type variables and Notes, -- so if one type is an App the other one jolly well better be too go outer (AppTy s1 t1) ty2 | Just (s2,t2) <- tcSplitAppTy_maybe ty2 = do { uTys nb1 s1 nb2 s2; uTys nb1 t1 nb2 t2 } -- Now the same, but the other way round -- Don't swap the types, because the error messages get worse go outer ty1 (AppTy s2 t2) | Just (s1,t1) <- tcSplitAppTy_maybe ty1 = do { uTys nb1 s1 nb2 s2; uTys nb1 t1 nb2 t2 } -- Anything else fails go outer _ _ = unifyMisMatch outer False orig_ty1 orig_ty2 ---------- uPred outer nb1 (IParam n1 t1) nb2 (IParam n2 t2) | n1 == n2 = uTys nb1 t1 nb2 t2 uPred outer nb1 (ClassP c1 tys1) nb2 (ClassP c2 tys2) | c1 == c2 = uTys_s nb1 tys1 nb2 tys2 -- Guaranteed equal lengths because the kinds check uPred outer _ p1 _ p2 = unifyMisMatch outer False (mkPredTy p1) (mkPredTy p2) uPreds outer nb1 [] nb2 [] = return () uPreds outer nb1 (p1:ps1) nb2 (p2:ps2) = uPred outer nb1 p1 nb2 p2 >> uPreds outer nb1 ps1 nb2 ps2 uPreds outer nb1 ps1 nb2 ps2 = panic "uPreds" \end{code} Note [Tycon app] ~~~~~~~~~~~~~~~~ When we find two TyConApps, the argument lists are guaranteed equal length. Reason: intially the kinds of the two types to be unified is the same. The only way it can become not the same is when unifying two AppTys (f1 a1):=:(f2 a2). In that case there can't be a TyConApp in the f1,f2 (because it'd absorb the app). If we unify f1:=:f2 first, which we do, that ensures that f1,f2 have the same kind; and that means a1,a2 have the same kind. And now the argument repeats. Notes on synonyms ~~~~~~~~~~~~~~~~~ If you are tempted to make a short cut on synonyms, as in this pseudocode... \begin{verbatim} -- NO uTys (SynTy con1 args1 ty1) (SynTy con2 args2 ty2) -- NO = if (con1 == con2) then -- NO -- Good news! Same synonym constructors, so we can shortcut -- NO -- by unifying their arguments and ignoring their expansions. -- NO unifyTypepeLists args1 args2 -- NO else -- NO -- Never mind. Just expand them and try again -- NO uTys ty1 ty2 \end{verbatim} then THINK AGAIN. Here is the whole story, as detected and reported by Chris Okasaki \tr{}: \begin{quotation} Here's a test program that should detect the problem: \begin{verbatim} type Bogus a = Int x = (1 :: Bogus Char) :: Bogus Bool \end{verbatim} The problem with [the attempted shortcut code] is that \begin{verbatim} con1 == con2 \end{verbatim} is not a sufficient condition to be able to use the shortcut! You also need to know that the type synonym actually USES all its arguments. For example, consider the following type synonym which does not use all its arguments. \begin{verbatim} type Bogus a = Int \end{verbatim} If you ever tried unifying, say, \tr{Bogus Char} with \tr{Bogus Bool}, the unifier would blithely try to unify \tr{Char} with \tr{Bool} and would fail, even though the expanded forms (both \tr{Int}) should match. Similarly, unifying \tr{Bogus Char} with \tr{Bogus t} would unnecessarily bind \tr{t} to \tr{Char}. ... You could explicitly test for the problem synonyms and mark them somehow as needing expansion, perhaps also issuing a warning to the user. \end{quotation} %************************************************************************ %* * \subsection[Unify-uVar]{@uVar@: unifying with a type variable} %* * %************************************************************************ @uVar@ is called when at least one of the types being unified is a variable. It does {\em not} assume that the variable is a fixed point of the substitution; rather, notice that @uVar@ (defined below) nips back into @uTys@ if it turns out that the variable is already bound. \begin{code} uVar :: Outer -> Bool -- False => tyvar is the "expected" -- True => ty is the "expected" thing -> TcTyVar -> InBox -- True <=> definitely no boxes in t2 -> TcTauType -> TcTauType -- printing and real versions -> TcM () uVar outer swapped tv1 nb2 ps_ty2 ty2 = do { let expansion | showSDoc (ppr ty2) == showSDoc (ppr ps_ty2) = empty | otherwise = brackets (equals <+> ppr ty2) ; traceTc (text "uVar" <+> ppr swapped <+> sep [ppr tv1 <+> dcolon <+> ppr (tyVarKind tv1 ), nest 2 (ptext SLIT(" <-> ")), ppr ps_ty2 <+> dcolon <+> ppr (typeKind ty2) <+> expansion]) ; details <- lookupTcTyVar tv1 ; case details of IndirectTv ty1 | swapped -> u_tys outer nb2 ps_ty2 ty2 True ty1 ty1 -- Swap back | otherwise -> u_tys outer True ty1 ty1 nb2 ps_ty2 ty2 -- Same order -- The 'True' here says that ty1 is now inside a box DoneTv details1 -> uUnfilledVar outer swapped tv1 details1 ps_ty2 ty2 } ---------------- uUnfilledVar :: Outer -> Bool -- Args are swapped -> TcTyVar -> TcTyVarDetails -- Tyvar 1 -> TcTauType -> TcTauType -- Type 2 -> TcM () -- Invariant: tyvar 1 is not unified with anything uUnfilledVar outer swapped tv1 details1 ps_ty2 ty2 | Just ty2' <- tcView ty2 = -- Expand synonyms; ignore FTVs uUnfilledVar False swapped tv1 details1 ps_ty2 ty2' uUnfilledVar outer swapped tv1 details1 ps_ty2 (TyVarTy tv2) | tv1 == tv2 -- Same type variable => no-op (but watch out for the boxy case) = case details1 of MetaTv BoxTv ref1 -- A boxy type variable meets itself; -- this is box-meets-box, so fill in with a tau-type -> do { tau_tv <- tcInstTyVar tv1 ; updateMeta tv1 ref1 (mkTyVarTy tau_tv) } other -> returnM () -- No-op -- Distinct type variables | otherwise = do { lookup2 <- lookupTcTyVar tv2 ; case lookup2 of IndirectTv ty2' -> uUnfilledVar outer swapped tv1 details1 ty2' ty2' DoneTv details2 -> uUnfilledVars outer swapped tv1 details1 tv2 details2 } uUnfilledVar outer swapped tv1 details1 ps_ty2 non_var_ty2 -- ty2 is not a type variable = case details1 of MetaTv (SigTv _) ref1 -> mis_match -- Can't update a skolem with a non-type-variable MetaTv info ref1 -> uMetaVar swapped tv1 info ref1 ps_ty2 non_var_ty2 skolem_details -> mis_match where mis_match = unifyMisMatch outer swapped (TyVarTy tv1) ps_ty2 ---------------- uMetaVar :: Bool -> TcTyVar -> BoxInfo -> IORef MetaDetails -> TcType -> TcType -> TcM () -- tv1 is an un-filled-in meta type variable (maybe boxy, maybe tau) -- ty2 is not a type variable uMetaVar swapped tv1 BoxTv ref1 ps_ty2 non_var_ty2 = -- tv1 is a BoxTv. So we must unbox ty2, to ensure -- that any boxes in ty2 are filled with monotypes -- -- It should not be the case that tv1 occurs in ty2 -- (i.e. no occurs check should be needed), but if perchance -- it does, the unbox operation will fill it, and the DEBUG -- checks for that. do { final_ty <- unBox ps_ty2 #ifdef DEBUG ; meta_details <- readMutVar ref1 ; case meta_details of Indirect ty -> WARN( True, ppr tv1 <+> ppr ty ) return () -- This really should *not* happen Flexi -> return () #endif ; checkUpdateMeta swapped tv1 ref1 final_ty } uMetaVar swapped tv1 info1 ref1 ps_ty2 non_var_ty2 = do { final_ty <- checkTauTvUpdate tv1 ps_ty2 -- Occurs check + monotype check ; checkUpdateMeta swapped tv1 ref1 final_ty } ---------------- uUnfilledVars :: Outer -> Bool -- Args are swapped -> TcTyVar -> TcTyVarDetails -- Tyvar 1 -> TcTyVar -> TcTyVarDetails -- Tyvar 2 -> TcM () -- Invarant: The type variables are distinct, -- Neither is filled in yet -- They might be boxy or not uUnfilledVars outer swapped tv1 (SkolemTv _) tv2 (SkolemTv _) = unifyMisMatch outer swapped (mkTyVarTy tv1) (mkTyVarTy tv2) uUnfilledVars outer swapped tv1 (MetaTv info1 ref1) tv2 (SkolemTv _) = checkUpdateMeta swapped tv1 ref1 (mkTyVarTy tv2) uUnfilledVars outer swapped tv1 (SkolemTv _) tv2 (MetaTv info2 ref2) = checkUpdateMeta (not swapped) tv2 ref2 (mkTyVarTy tv1) -- ToDo: this function seems too long for what it acutally does! uUnfilledVars outer swapped tv1 (MetaTv info1 ref1) tv2 (MetaTv info2 ref2) = case (info1, info2) of (BoxTv, BoxTv) -> box_meets_box -- If a box meets a TauTv, but the fomer has the smaller kind -- then we must create a fresh TauTv with the smaller kind (_, BoxTv) | k1_sub_k2 -> update_tv2 | otherwise -> box_meets_box (BoxTv, _ ) | k2_sub_k1 -> update_tv1 | otherwise -> box_meets_box -- Avoid SigTvs if poss (SigTv _, _ ) | k1_sub_k2 -> update_tv2 (_, SigTv _) | k2_sub_k1 -> update_tv1 (_, _) | k1_sub_k2 -> if k2_sub_k1 && nicer_to_update_tv1 then update_tv1 -- Same kinds else update_tv2 | k2_sub_k1 -> update_tv1 | otherwise -> kind_err -- Update the variable with least kind info -- See notes on type inference in Kind.lhs -- The "nicer to" part only applies if the two kinds are the same, -- so we can choose which to do. where -- Kinds should be guaranteed ok at this point update_tv1 = updateMeta tv1 ref1 (mkTyVarTy tv2) update_tv2 = updateMeta tv2 ref2 (mkTyVarTy tv1) box_meets_box | k1_sub_k2 = if k2_sub_k1 && nicer_to_update_tv1 then fill_from tv2 else fill_from tv1 | k2_sub_k1 = fill_from tv2 | otherwise = kind_err -- Update *both* tyvars with a TauTv whose name and kind -- are gotten from tv (avoid losing nice names is poss) fill_from tv = do { tv' <- tcInstTyVar tv ; let tau_ty = mkTyVarTy tv' ; updateMeta tv1 ref1 tau_ty ; updateMeta tv2 ref2 tau_ty } kind_err = addErrCtxtM (unifyKindCtxt swapped tv1 (mkTyVarTy tv2)) $ unifyKindMisMatch k1 k2 k1 = tyVarKind tv1 k2 = tyVarKind tv2 k1_sub_k2 = k1 `isSubKind` k2 k2_sub_k1 = k2 `isSubKind` k1 nicer_to_update_tv1 = isSystemName (Var.varName tv1) -- Try to update sys-y type variables in preference to ones -- gotten (say) by instantiating a polymorphic function with -- a user-written type sig ---------------- checkUpdateMeta :: Bool -> TcTyVar -> IORef MetaDetails -> TcType -> TcM () -- Update tv1, which is flexi; occurs check is alrady done -- The 'check' version does a kind check too -- We do a sub-kind check here: we might unify (a b) with (c d) -- where b::*->* and d::*; this should fail checkUpdateMeta swapped tv1 ref1 ty2 = do { checkKinds swapped tv1 ty2 ; updateMeta tv1 ref1 ty2 } updateMeta :: TcTyVar -> IORef MetaDetails -> TcType -> TcM () updateMeta tv1 ref1 ty2 = ASSERT( isMetaTyVar tv1 ) ASSERT( isBoxyTyVar tv1 || isTauTy ty2 ) do { ASSERTM2( do { details <- readMetaTyVar tv1; return (isFlexi details) }, ppr tv1 ) ; traceTc (text "updateMeta" <+> ppr tv1 <+> text ":=" <+> ppr ty2) ; writeMutVar ref1 (Indirect ty2) } ---------------- checkKinds swapped tv1 ty2 -- We're about to unify a type variable tv1 with a non-tyvar-type ty2. -- ty2 has been zonked at this stage, which ensures that -- its kind has as much boxity information visible as possible. | tk2 `isSubKind` tk1 = returnM () | otherwise -- Either the kinds aren't compatible -- (can happen if we unify (a b) with (c d)) -- or we are unifying a lifted type variable with an -- unlifted type: e.g. (id 3#) is illegal = addErrCtxtM (unifyKindCtxt swapped tv1 ty2) $ unifyKindMisMatch k1 k2 where (k1,k2) | swapped = (tk2,tk1) | otherwise = (tk1,tk2) tk1 = tyVarKind tv1 tk2 = typeKind ty2 ---------------- checkTauTvUpdate :: TcTyVar -> TcType -> TcM TcType -- (checkTauTvUpdate tv ty) -- We are about to update the TauTv tv with ty. -- Check (a) that tv doesn't occur in ty (occurs check) -- (b) that ty is a monotype -- Furthermore, in the interest of (b), if you find an -- empty box (BoxTv that is Flexi), fill it in with a TauTv -- -- Returns the (non-boxy) type to update the type variable with, or fails checkTauTvUpdate orig_tv orig_ty = go orig_ty where go (TyConApp tc tys) | isSynTyCon tc = go_syn tc tys | otherwise = do { tys' <- mappM go tys; return (TyConApp tc tys') } go (NoteTy _ ty2) = go ty2 -- Discard free-tyvar annotations go (PredTy p) = do { p' <- go_pred p; return (PredTy p') } go (FunTy arg res) = do { arg' <- go arg; res' <- go res; return (FunTy arg' res') } go (AppTy fun arg) = do { fun' <- go fun; arg' <- go arg; return (mkAppTy fun' arg') } -- NB the mkAppTy; we might have instantiated a -- type variable to a type constructor, so we need -- to pull the TyConApp to the top. go (ForAllTy tv ty) = notMonoType orig_ty -- (b) go (TyVarTy tv) | orig_tv == tv = occurCheck tv orig_ty -- (a) | isTcTyVar tv = go_tyvar tv (tcTyVarDetails tv) | otherwise = return (TyVarTy tv) -- Ordinary (non Tc) tyvars -- occur inside quantified types go_pred (ClassP c tys) = do { tys' <- mapM go tys; return (ClassP c tys') } go_pred (IParam n ty) = do { ty' <- go ty; return (IParam n ty') } go_pred (EqPred t1 t2) = do { t1' <- go t1; t2' <- go t2; return (EqPred t1' t2') } go_tyvar tv (SkolemTv _) = return (TyVarTy tv) go_tyvar tv (MetaTv box ref) = do { cts <- readMutVar ref ; case cts of Indirect ty -> go ty Flexi -> case box of BoxTv -> fillBoxWithTau tv ref other -> return (TyVarTy tv) } -- go_syn is called for synonyms only -- See Note [Type synonyms and the occur check] go_syn tc tys | not (isTauTyCon tc) = notMonoType orig_ty -- (b) again | otherwise = do { (msgs, mb_tys') <- tryTc (mapM go tys) ; case mb_tys' of Just tys' -> return (TyConApp tc tys') -- Retain the synonym (the common case) Nothing | isOpenTyCon tc -> notMonoArgs (TyConApp tc tys) -- Synonym families must have monotype args | otherwise -> go (expectJust "checkTauTvUpdate" (tcView (TyConApp tc tys))) -- Try again, expanding the synonym } fillBoxWithTau :: BoxyTyVar -> IORef MetaDetails -> TcM TcType -- (fillBoxWithTau tv ref) fills ref with a freshly allocated -- tau-type meta-variable, whose print-name is the same as tv -- Choosing the same name is good: when we instantiate a function -- we allocate boxy tyvars with the same print-name as the quantified -- tyvar; and then we often fill the box with a tau-tyvar, and again -- we want to choose the same name. fillBoxWithTau tv ref = do { tv' <- tcInstTyVar tv -- Do not gratuitously forget ; let tau = mkTyVarTy tv' -- name of the type variable ; writeMutVar ref (Indirect tau) ; return tau } \end{code} Note [Type synonyms and the occur check] ~~~~~~~~~~~~~~~~~~~~ Basically we want to update tv1 := ps_ty2 because ps_ty2 has type-synonym info, which improves later error messages But consider type A a = () f :: (A a -> a -> ()) -> () f = \ _ -> () x :: () x = f (\ x p -> p x) In the application (p x), we try to match "t" with "A t". If we go ahead and bind t to A t (= ps_ty2), we'll lead the type checker into an infinite loop later. But we should not reject the program, because A t = (). Rather, we should bind t to () (= non_var_ty2). \begin{code} refineBox :: TcType -> TcM TcType -- Unbox the outer box of a boxy type (if any) refineBox ty@(TyVarTy box_tv) | isMetaTyVar box_tv = do { cts <- readMetaTyVar box_tv ; case cts of Flexi -> return ty Indirect ty -> return ty } refineBox other_ty = return other_ty refineBoxToTau :: TcType -> TcM TcType -- Unbox the outer box of a boxy type, filling with a monotype if it is empty -- Like refineBox except for the "fill with monotype" part. refineBoxToTau ty@(TyVarTy box_tv) | isMetaTyVar box_tv , MetaTv BoxTv ref <- tcTyVarDetails box_tv = do { cts <- readMutVar ref ; case cts of Flexi -> fillBoxWithTau box_tv ref Indirect ty -> return ty } refineBoxToTau other_ty = return other_ty zapToMonotype :: BoxySigmaType -> TcM TcTauType -- Subtle... we must zap the boxy res_ty -- to kind * before using it to instantiate a LitInst -- Calling unBox instead doesn't do the job, because the box -- often has an openTypeKind, and we don't want to instantiate -- with that type. zapToMonotype res_ty = do { res_tau <- newFlexiTyVarTy liftedTypeKind ; boxyUnify res_tau res_ty ; return res_tau } unBox :: BoxyType -> TcM TcType -- unBox implements the judgement -- |- s' ~ box(s) -- with input s', and result s -- -- It removes all boxes from the input type, returning a non-boxy type. -- A filled box in the type can only contain a monotype; unBox fails if not -- The type can have empty boxes, which unBox fills with a monotype -- -- Compare this wth checkTauTvUpdate -- -- For once, it's safe to treat synonyms as opaque! unBox (NoteTy n ty) = do { ty' <- unBox ty; return (NoteTy n ty') } unBox (TyConApp tc tys) = do { tys' <- mapM unBox tys; return (TyConApp tc tys') } unBox (AppTy f a) = do { f' <- unBox f; a' <- unBox a; return (mkAppTy f' a') } unBox (FunTy f a) = do { f' <- unBox f; a' <- unBox a; return (FunTy f' a') } unBox (PredTy p) = do { p' <- unBoxPred p; return (PredTy p') } unBox (ForAllTy tv ty) = ASSERT( isImmutableTyVar tv ) do { ty' <- unBox ty; return (ForAllTy tv ty') } unBox (TyVarTy tv) | isTcTyVar tv -- It's a boxy type variable , MetaTv BoxTv ref <- tcTyVarDetails tv -- NB: non-TcTyVars are possible = do { cts <- readMutVar ref -- under nested quantifiers ; case cts of Flexi -> fillBoxWithTau tv ref Indirect ty -> do { non_boxy_ty <- unBox ty ; if isTauTy non_boxy_ty then return non_boxy_ty else notMonoType non_boxy_ty } } | otherwise -- Skolems, and meta-tau-variables = return (TyVarTy tv) unBoxPred (ClassP cls tys) = do { tys' <- mapM unBox tys; return (ClassP cls tys') } unBoxPred (IParam ip ty) = do { ty' <- unBox ty; return (IParam ip ty') } unBoxPred (EqPred ty1 ty2) = do { ty1' <- unBox ty1; ty2' <- unBox ty2; return (EqPred ty1' ty2') } \end{code} %************************************************************************ %* * \subsection[Unify-context]{Errors and contexts} %* * %************************************************************************ Errors ~~~~~~ \begin{code} unifyCtxt act_ty exp_ty tidy_env = do { act_ty' <- zonkTcType act_ty ; exp_ty' <- zonkTcType exp_ty ; let (env1, exp_ty'') = tidyOpenType tidy_env exp_ty' (env2, act_ty'') = tidyOpenType env1 act_ty' ; return (env2, mkExpectedActualMsg act_ty'' exp_ty'') } ---------------- mkExpectedActualMsg act_ty exp_ty = nest 2 (vcat [ text "Expected type" <> colon <+> ppr exp_ty, text "Inferred type" <> colon <+> ppr act_ty ]) ---------------- -- If an error happens we try to figure out whether the function -- function has been given too many or too few arguments, and say so. addSubCtxt SubDone actual_res_ty expected_res_ty thing_inside = thing_inside addSubCtxt sub_ctxt actual_res_ty expected_res_ty thing_inside = addErrCtxtM mk_err thing_inside where mk_err tidy_env = do { exp_ty' <- zonkTcType expected_res_ty ; act_ty' <- zonkTcType actual_res_ty ; let (env1, exp_ty'') = tidyOpenType tidy_env exp_ty' (env2, act_ty'') = tidyOpenType env1 act_ty' (exp_args, _) = tcSplitFunTys exp_ty'' (act_args, _) = tcSplitFunTys act_ty'' len_act_args = length act_args len_exp_args = length exp_args message = case sub_ctxt of SubFun fun | len_exp_args < len_act_args -> wrongArgsCtxt "too few" fun | len_exp_args > len_act_args -> wrongArgsCtxt "too many" fun other -> mkExpectedActualMsg act_ty'' exp_ty'' ; return (env2, message) } wrongArgsCtxt too_many_or_few fun = ptext SLIT("Probable cause:") <+> quotes (ppr fun) <+> ptext SLIT("is applied to") <+> text too_many_or_few <+> ptext SLIT("arguments") ------------------ unifyForAllCtxt tvs phi1 phi2 env = returnM (env2, msg) where (env', tvs') = tidyOpenTyVars env tvs -- NB: not tidyTyVarBndrs (env1, phi1') = tidyOpenType env' phi1 (env2, phi2') = tidyOpenType env1 phi2 msg = vcat [ptext SLIT("When matching") <+> quotes (ppr (mkForAllTys tvs' phi1')), ptext SLIT(" and") <+> quotes (ppr (mkForAllTys tvs' phi2'))] ------------------ unifyKindCtxt swapped tv1 ty2 tidy_env -- not swapped => tv1 expected, ty2 inferred -- tv1 and ty2 are zonked already = returnM msg where msg = (env2, ptext SLIT("When matching the kinds of") <+> sep [quotes pp_expected <+> ptext SLIT("and"), quotes pp_actual]) (pp_expected, pp_actual) | swapped = (pp2, pp1) | otherwise = (pp1, pp2) (env1, tv1') = tidyOpenTyVar tidy_env tv1 (env2, ty2') = tidyOpenType env1 ty2 pp1 = ppr tv1' <+> dcolon <+> ppr (tyVarKind tv1) pp2 = ppr ty2' <+> dcolon <+> ppr (typeKind ty2) unifyMisMatch outer swapped ty1 ty2 = do { (env, msg) <- if swapped then misMatchMsg ty1 ty2 else misMatchMsg ty2 ty1 -- This is the whole point of the 'outer' stuff ; if outer then popErrCtxt (failWithTcM (env, msg)) else failWithTcM (env, msg) } misMatchMsg ty1 ty2 = do { env0 <- tcInitTidyEnv ; (env1, pp1, extra1) <- ppr_ty env0 ty1 ; (env2, pp2, extra2) <- ppr_ty env1 ty2 ; return (env2, sep [sep [ptext SLIT("Couldn't match expected type") <+> pp1, nest 7 (ptext SLIT("against inferred type") <+> pp2)], nest 2 extra1, nest 2 extra2]) } ppr_ty :: TidyEnv -> TcType -> TcM (TidyEnv, SDoc, SDoc) ppr_ty env ty = do { ty' <- zonkTcType ty ; let (env1,tidy_ty) = tidyOpenType env ty' simple_result = (env1, quotes (ppr tidy_ty), empty) ; case tidy_ty of TyVarTy tv | isSkolemTyVar tv || isSigTyVar tv -> return (env2, pp_rigid tv', pprSkolTvBinding tv') | otherwise -> return simple_result where (env2, tv') = tidySkolemTyVar env1 tv other -> return simple_result } where pp_rigid tv = quotes (ppr tv) <+> parens (ptext SLIT("a rigid variable")) notMonoType ty = do { ty' <- zonkTcType ty ; env0 <- tcInitTidyEnv ; let (env1, tidy_ty) = tidyOpenType env0 ty' msg = ptext SLIT("Cannot match a monotype with") <+> quotes (ppr tidy_ty) ; failWithTcM (env1, msg) } notMonoArgs ty = do { ty' <- zonkTcType ty ; env0 <- tcInitTidyEnv ; let (env1, tidy_ty) = tidyOpenType env0 ty' msg = ptext SLIT("Arguments of synonym family must be monotypes") <+> quotes (ppr tidy_ty) ; failWithTcM (env1, msg) } occurCheck tyvar ty = do { env0 <- tcInitTidyEnv ; ty' <- zonkTcType ty ; let (env1, tidy_tyvar) = tidyOpenTyVar env0 tyvar (env2, tidy_ty) = tidyOpenType env1 ty' extra = sep [ppr tidy_tyvar, char '=', ppr tidy_ty] ; failWithTcM (env2, hang msg 2 extra) } where msg = ptext SLIT("Occurs check: cannot construct the infinite type:") \end{code} %************************************************************************ %* * Kind unification %* * %************************************************************************ Unifying kinds is much, much simpler than unifying types. \begin{code} unifyKind :: TcKind -- Expected -> TcKind -- Actual -> TcM () unifyKind (TyConApp kc1 []) (TyConApp kc2 []) | isSubKindCon kc2 kc1 = returnM () unifyKind (FunTy a1 r1) (FunTy a2 r2) = do { unifyKind a2 a1; unifyKind r1 r2 } -- Notice the flip in the argument, -- so that the sub-kinding works right unifyKind (TyVarTy kv1) k2 = uKVar False kv1 k2 unifyKind k1 (TyVarTy kv2) = uKVar True kv2 k1 unifyKind k1 k2 = unifyKindMisMatch k1 k2 unifyKinds :: [TcKind] -> [TcKind] -> TcM () unifyKinds [] [] = returnM () unifyKinds (k1:ks1) (k2:ks2) = unifyKind k1 k2 `thenM_` unifyKinds ks1 ks2 unifyKinds _ _ = panic "unifyKinds: length mis-match" ---------------- uKVar :: Bool -> KindVar -> TcKind -> TcM () uKVar swapped kv1 k2 = do { mb_k1 <- readKindVar kv1 ; case mb_k1 of Flexi -> uUnboundKVar swapped kv1 k2 Indirect k1 | swapped -> unifyKind k2 k1 | otherwise -> unifyKind k1 k2 } ---------------- uUnboundKVar :: Bool -> KindVar -> TcKind -> TcM () uUnboundKVar swapped kv1 k2@(TyVarTy kv2) | kv1 == kv2 = returnM () | otherwise -- Distinct kind variables = do { mb_k2 <- readKindVar kv2 ; case mb_k2 of Indirect k2 -> uUnboundKVar swapped kv1 k2 Flexi -> writeKindVar kv1 k2 } uUnboundKVar swapped kv1 non_var_k2 = do { k2' <- zonkTcKind non_var_k2 ; kindOccurCheck kv1 k2' ; k2'' <- case simpleKind_maybe swapped k2' of Just ok -> return ok Nothing -> failWithTc (ptext SLIT("Unexpected kind unification failure:") <+> ppr swapped <+> ppr k2') -- I think this can't actually happen -- KindVars must be bound only to simple kinds -- Polarities: (kindSimpleKind True ?) succeeds -- returning *, corresponding to unifying -- expected: ? -- actual: kind-ver ; writeKindVar kv1 k2'' } ---------------- kindOccurCheck kv1 k2 -- k2 is zonked = checkTc (not_in k2) (kindOccurCheckErr kv1 k2) where not_in (TyVarTy kv2) = kv1 /= kv2 not_in (FunTy a2 r2) = not_in a2 && not_in r2 not_in other = True ---------------- kindOccurCheckErr tyvar ty = hang (ptext SLIT("Occurs check: cannot construct the infinite kind:")) 2 (sep [ppr tyvar, char '=', ppr ty]) unifyKindMisMatch ty1 ty2 = zonkTcKind ty1 `thenM` \ ty1' -> zonkTcKind ty2 `thenM` \ ty2' -> let msg = hang (ptext SLIT("Couldn't match kind")) 2 (sep [quotes (ppr ty1'), ptext SLIT("against"), quotes (ppr ty2')]) in failWithTc msg \end{code} \begin{code} unifyFunKind :: TcKind -> TcM (Maybe (TcKind, TcKind)) -- Like unifyFunTy, but does not fail; instead just returns Nothing unifyFunKind (TyVarTy kvar) = readKindVar kvar `thenM` \ maybe_kind -> case maybe_kind of Indirect fun_kind -> unifyFunKind fun_kind Flexi -> do { arg_kind <- newKindVar ; res_kind <- newKindVar ; writeKindVar kvar (mkArrowKind arg_kind res_kind) ; returnM (Just (arg_kind,res_kind)) } unifyFunKind (FunTy arg_kind res_kind) = returnM (Just (arg_kind,res_kind)) unifyFunKind other = returnM Nothing \end{code} %************************************************************************ %* * Checking kinds %* * %************************************************************************ --------------------------- -- We would like to get a decent error message from -- (a) Under-applied type constructors -- f :: (Maybe, Maybe) -- (b) Over-applied type constructors -- f :: Int x -> Int x -- \begin{code} checkExpectedKind :: Outputable a => a -> TcKind -> TcKind -> TcM () -- A fancy wrapper for 'unifyKind', which tries -- to give decent error messages. checkExpectedKind ty act_kind exp_kind | act_kind `isSubKind` exp_kind -- Short cut for a very common case = returnM () | otherwise = tryTc (unifyKind exp_kind act_kind) `thenM` \ (_errs, mb_r) -> case mb_r of { Just r -> returnM () ; -- Unification succeeded Nothing -> -- So there's definitely an error -- Now to find out what sort zonkTcKind exp_kind `thenM` \ exp_kind -> zonkTcKind act_kind `thenM` \ act_kind -> tcInitTidyEnv `thenM` \ env0 -> let (exp_as, _) = splitKindFunTys exp_kind (act_as, _) = splitKindFunTys act_kind n_exp_as = length exp_as n_act_as = length act_as (env1, tidy_exp_kind) = tidyKind env0 exp_kind (env2, tidy_act_kind) = tidyKind env1 act_kind err | n_exp_as < n_act_as -- E.g. [Maybe] = quotes (ppr ty) <+> ptext SLIT("is not applied to enough type arguments") -- Now n_exp_as >= n_act_as. In the next two cases, -- n_exp_as == 0, and hence so is n_act_as | isLiftedTypeKind exp_kind && isSubUnliftedTypeKind act_kind = ptext SLIT("Expecting a lifted type, but") <+> quotes (ppr ty) <+> ptext SLIT("is unlifted") | isSubUnliftedTypeKind exp_kind && isLiftedTypeKind act_kind = ptext SLIT("Expecting an unlifted type, but") <+> quotes (ppr ty) <+> ptext SLIT("is lifted") | otherwise -- E.g. Monad [Int] = ptext SLIT("Kind mis-match") more_info = sep [ ptext SLIT("Expected kind") <+> quotes (pprKind tidy_exp_kind) <> comma, ptext SLIT("but") <+> quotes (ppr ty) <+> ptext SLIT("has kind") <+> quotes (pprKind tidy_act_kind)] in failWithTcM (env2, err $$ more_info) } \end{code} %************************************************************************ %* * \subsection{Checking signature type variables} %* * %************************************************************************ @checkSigTyVars@ checks that a set of universally quantified type varaibles are not mentioned in the environment. In particular: (a) Not mentioned in the type of a variable in the envt eg the signature for f in this: g x = ... where f :: a->[a] f y = [x,y] Here, f is forced to be monorphic by the free occurence of x. (d) Not (unified with another type variable that is) in scope. eg f x :: (r->r) = (\y->y) :: forall a. a->r when checking the expression type signature, we find that even though there is nothing in scope whose type mentions r, nevertheless the type signature for the expression isn't right. Another example is in a class or instance declaration: class C a where op :: forall b. a -> b op x = x Here, b gets unified with a Before doing this, the substitution is applied to the signature type variable. \begin{code} checkSigTyVars :: [TcTyVar] -> TcM () checkSigTyVars sig_tvs = check_sig_tyvars emptyVarSet sig_tvs checkSigTyVarsWrt :: TcTyVarSet -> [TcTyVar] -> TcM () -- The extra_tvs can include boxy type variables; -- e.g. TcMatches.tcCheckExistentialPat checkSigTyVarsWrt extra_tvs sig_tvs = do { extra_tvs' <- zonkTcTyVarsAndFV (varSetElems extra_tvs) ; check_sig_tyvars extra_tvs' sig_tvs } check_sig_tyvars :: TcTyVarSet -- Global type variables. The universally quantified -- tyvars should not mention any of these -- Guaranteed already zonked. -> [TcTyVar] -- Universally-quantified type variables in the signature -- Guaranteed to be skolems -> TcM () check_sig_tyvars extra_tvs [] = returnM () check_sig_tyvars extra_tvs sig_tvs = ASSERT( all isSkolemTyVar sig_tvs ) do { gbl_tvs <- tcGetGlobalTyVars ; traceTc (text "check_sig_tyvars" <+> (vcat [text "sig_tys" <+> ppr sig_tvs, text "gbl_tvs" <+> ppr gbl_tvs, text "extra_tvs" <+> ppr extra_tvs])) ; let env_tvs = gbl_tvs `unionVarSet` extra_tvs ; ifM (any (`elemVarSet` env_tvs) sig_tvs) (bleatEscapedTvs env_tvs sig_tvs sig_tvs) } bleatEscapedTvs :: TcTyVarSet -- The global tvs -> [TcTyVar] -- The possibly-escaping type variables -> [TcTyVar] -- The zonked versions thereof -> TcM () -- Complain about escaping type variables -- We pass a list of type variables, at least one of which -- escapes. The first list contains the original signature type variable, -- while the second contains the type variable it is unified to (usually itself) bleatEscapedTvs globals sig_tvs zonked_tvs = do { env0 <- tcInitTidyEnv ; let (env1, tidy_tvs) = tidyOpenTyVars env0 sig_tvs (env2, tidy_zonked_tvs) = tidyOpenTyVars env1 zonked_tvs ; (env3, msgs) <- foldlM check (env2, []) (tidy_tvs `zip` tidy_zonked_tvs) ; failWithTcM (env3, main_msg $$ nest 2 (vcat msgs)) } where main_msg = ptext SLIT("Inferred type is less polymorphic than expected") check (tidy_env, msgs) (sig_tv, zonked_tv) | not (zonked_tv `elemVarSet` globals) = return (tidy_env, msgs) | otherwise = do { (tidy_env1, globs) <- findGlobals (unitVarSet zonked_tv) tidy_env ; returnM (tidy_env1, escape_msg sig_tv zonked_tv globs : msgs) } ----------------------- escape_msg sig_tv zonked_tv globs | notNull globs = vcat [sep [msg, ptext SLIT("is mentioned in the environment:")], nest 2 (vcat globs)] | otherwise = msg <+> ptext SLIT("escapes") -- Sigh. It's really hard to give a good error message -- all the time. One bad case is an existential pattern match. -- We rely on the "When..." context to help. where msg = ptext SLIT("Quantified type variable") <+> quotes (ppr sig_tv) <+> is_bound_to is_bound_to | sig_tv == zonked_tv = empty | otherwise = ptext SLIT("is unified with") <+> quotes (ppr zonked_tv) <+> ptext SLIT("which") \end{code} These two context are used with checkSigTyVars \begin{code} sigCtxt :: Id -> [TcTyVar] -> TcThetaType -> TcTauType -> TidyEnv -> TcM (TidyEnv, Message) sigCtxt id sig_tvs sig_theta sig_tau tidy_env = zonkTcType sig_tau `thenM` \ actual_tau -> let (env1, tidy_sig_tvs) = tidyOpenTyVars tidy_env sig_tvs (env2, tidy_sig_rho) = tidyOpenType env1 (mkPhiTy sig_theta sig_tau) (env3, tidy_actual_tau) = tidyOpenType env2 actual_tau sub_msg = vcat [ptext SLIT("Signature type: ") <+> pprType (mkForAllTys tidy_sig_tvs tidy_sig_rho), ptext SLIT("Type to generalise:") <+> pprType tidy_actual_tau ] msg = vcat [ptext SLIT("When trying to generalise the type inferred for") <+> quotes (ppr id), nest 2 sub_msg] in returnM (env3, msg) \end{code}