X-Git-Url: http://git.megacz.com/?p=ghc-hetmet.git;a=blobdiff_plain;f=compiler%2Ftypes%2FUnify.lhs;h=9c448ce0653af13079713ebe84b28896ced3781d;hp=b96f20724e7b54e18b1204539c74fe960a87fc55;hb=e2e0785eb7f4efd9f7791d913cdfdfd03148cd86;hpb=2763f56de2097a34176aa883dd4f0b3de1cb896c diff --git a/compiler/types/Unify.lhs b/compiler/types/Unify.lhs index b96f207..9c448ce 100644 --- a/compiler/types/Unify.lhs +++ b/compiler/types/Unify.lhs @@ -1,33 +1,41 @@ +% +% (c) The University of Glasgow 2006 +% + \begin{code} module Unify ( - -- Matching and unification - tcMatchTys, tcMatchTyX, ruleMatchTyX, tcMatchPreds, MatchEnv(..), + -- Matching of types: + -- the "tc" prefix indicates that matching always + -- respects newtypes (rather than looking through them) + tcMatchTy, tcMatchTys, tcMatchTyX, + ruleMatchTyX, tcMatchPreds, - tcUnifyTys, + MatchEnv(..), matchList, - gadtRefineTys, BindFlag(..), + typesCantMatch, - coreRefineTys, dataConCanMatch, TypeRefinement, + -- Side-effect free unification + tcUnifyTys, BindFlag(..), + niFixTvSubst, niSubstTvSet - -- Re-export - MaybeErr(..) ) where #include "HsVersions.h" -import Var ( Var, TyVar, tyVarKind ) +import Var import VarEnv import VarSet -import Kind ( isSubKind ) -import Type ( typeKind, tyVarsOfType, tyVarsOfTypes, tyVarsOfTheta, mkTyVarTys, - TvSubstEnv, emptyTvSubstEnv, TvSubst(..), substTy, tcEqTypeX, - mkOpenTvSubst, tcView ) -import TypeRep ( Type(..), PredType(..), funTyCon ) -import DataCon ( DataCon, isVanillaDataCon, dataConResTys, dataConInstResTy ) -import Util ( snocView ) -import ErrUtils ( Message ) +import Kind +import Type +import TyCon +import TypeRep import Outputable +import ErrUtils +import Util import Maybes +import FastString + +import Control.Monad (guard) \end{code} @@ -62,14 +70,32 @@ Matching is much tricker than you might think. \begin{code} data MatchEnv - = ME { me_tmpls :: VarSet -- Template tyvars + = ME { me_tmpls :: VarSet -- Template variables , me_env :: RnEnv2 -- Renaming envt for nested foralls - } -- In-scope set includes template tyvars + } -- In-scope set includes template variables + -- Nota Bene: MatchEnv isn't specific to Types. It is used + -- for matching terms and coercions as well as types + +tcMatchTy :: TyVarSet -- Template tyvars + -> Type -- Template + -> Type -- Target + -> Maybe TvSubst -- One-shot; in principle the template + -- variables could be free in the target + +tcMatchTy tmpls ty1 ty2 + = case match menv emptyTvSubstEnv ty1 ty2 of + Just subst_env -> Just (TvSubst in_scope subst_env) + Nothing -> Nothing + where + menv = ME { me_tmpls = tmpls, me_env = mkRnEnv2 in_scope } + in_scope = mkInScopeSet (tmpls `unionVarSet` tyVarsOfType ty2) + -- We're assuming that all the interesting + -- tyvars in tys1 are in tmpls tcMatchTys :: TyVarSet -- Template tyvars - -> [Type] -- Template - -> [Type] -- Target - -> Maybe TvSubst -- One-shot; in principle the template + -> [Type] -- Template + -> [Type] -- Target + -> Maybe TvSubst -- One-shot; in principle the template -- variables could be free in the target tcMatchTys tmpls tys1 tys2 @@ -100,7 +126,7 @@ tcMatchPreds -> [PredType] -> [PredType] -> Maybe TvSubstEnv tcMatchPreds tmpls ps1 ps2 - = match_list (match_pred menv) emptyTvSubstEnv ps1 ps2 + = matchList (match_pred menv) emptyTvSubstEnv ps1 ps2 where menv = ME { me_tmpls = mkVarSet tmpls, me_env = mkRnEnv2 in_scope_tyvars } in_scope_tyvars = mkInScopeSet (tyVarsOfTheta ps1 `unionVarSet` tyVarsOfTheta ps2) @@ -125,33 +151,31 @@ match :: MatchEnv -- For the most part this is pushed downwards -- in-scope set of the RnEnv2 -> Type -> Type -- Template and target respectively -> Maybe TvSubstEnv --- This matcher works on source types; that is, --- it respects NewTypes and PredType +-- This matcher works on core types; that is, it ignores PredTypes +-- Watch out if newtypes become transparent agin! +-- this matcher must respect newtypes -match menv subst ty1 ty2 | Just ty1' <- tcView ty1 = match menv subst ty1' ty2 -match menv subst ty1 ty2 | Just ty2' <- tcView ty2 = match menv subst ty1 ty2' +match menv subst ty1 ty2 | Just ty1' <- coreView ty1 = match menv subst ty1' ty2 + | Just ty2' <- coreView ty2 = match menv subst ty1 ty2' match menv subst (TyVarTy tv1) ty2 - | tv1 `elemVarSet` me_tmpls menv - = case lookupVarEnv subst tv1' of - Nothing | any (inRnEnvR rn_env) (varSetElems (tyVarsOfType ty2)) - -> Nothing -- Occurs check - | not (typeKind ty2 `isSubKind` tyVarKind tv1) - -> Nothing -- Kind mis-match - | otherwise - -> Just (extendVarEnv subst tv1 ty2) - - Just ty1' | tcEqTypeX (nukeRnEnvL rn_env) ty1' ty2 - -- ty1 has no locally-bound variables, hence nukeRnEnvL - -- Note tcEqType...we are doing source-type matching here - -> Just subst - - other -> Nothing + | Just ty1' <- lookupVarEnv subst tv1' -- tv1' is already bound + = if eqTypeX (nukeRnEnvL rn_env) ty1' ty2 + -- ty1 has no locally-bound variables, hence nukeRnEnvL + then Just subst + else Nothing -- ty2 doesn't match + + | tv1' `elemVarSet` me_tmpls menv + = if any (inRnEnvR rn_env) (varSetElems (tyVarsOfType ty2)) + then Nothing -- Occurs check + else do { subst1 <- match_kind menv subst tv1 ty2 + -- Note [Matching kinds] + ; return (extendVarEnv subst1 tv1' ty2) } | otherwise -- tv1 is not a template tyvar = case ty2 of TyVarTy tv2 | tv1' == rnOccR rn_env tv2 -> Just subst - other -> Nothing + _ -> Nothing where rn_env = me_env menv tv1' = rnOccL rn_env tv1 @@ -170,129 +194,223 @@ match menv subst (FunTy ty1a ty1b) (FunTy ty2a ty2b) ; match menv subst' ty1b ty2b } match menv subst (AppTy ty1a ty1b) ty2 | Just (ty2a, ty2b) <- repSplitAppTy_maybe ty2 + -- 'repSplit' used because the tcView stuff is done above = do { subst' <- match menv subst ty1a ty2a ; match menv subst' ty1b ty2b } -match menv subst ty1 ty2 +match _ _ _ _ = Nothing -------------- -match_tys menv subst tys1 tys2 = match_list (match menv) subst tys1 tys2 +match_kind :: MatchEnv -> TvSubstEnv -> TyVar -> Type -> Maybe TvSubstEnv +-- Match the kind of the template tyvar with the kind of Type +-- Note [Matching kinds] +match_kind _ subst tv ty + = guard (typeKind ty `isSubKind` tyVarKind tv) >> return subst + +-- Note [Matching kinds] +-- ~~~~~~~~~~~~~~~~~~~~~ +-- For ordinary type variables, we don't want (m a) to match (n b) +-- if say (a::*) and (b::*->*). This is just a yes/no issue. +-- +-- For coercion kinds matters are more complicated. If we have a +-- coercion template variable co::a~[b], where a,b are presumably also +-- template type variables, then we must match co's kind against the +-- kind of the actual argument, so as to give bindings to a,b. +-- +-- In fact I have no example in mind that *requires* this kind-matching +-- to instantiate template type variables, but it seems like the right +-- thing to do. C.f. Note [Matching variable types] in Rules.lhs -------------- -match_list :: (TvSubstEnv -> a -> a -> Maybe TvSubstEnv) - -> TvSubstEnv -> [a] -> [a] -> Maybe TvSubstEnv -match_list fn subst [] [] = Just subst -match_list fn subst (ty1:tys1) (ty2:tys2) = do { subst' <- fn subst ty1 ty2 - ; match_list fn subst' tys1 tys2 } -match_list fn subst tys1 tys2 = Nothing +match_tys :: MatchEnv -> TvSubstEnv -> [Type] -> [Type] -> Maybe TvSubstEnv +match_tys menv subst tys1 tys2 = matchList (match menv) subst tys1 tys2 -------------- +matchList :: (env -> a -> b -> Maybe env) + -> env -> [a] -> [b] -> Maybe env +matchList _ subst [] [] = Just subst +matchList fn subst (a:as) (b:bs) = do { subst' <- fn subst a b + ; matchList fn subst' as bs } +matchList _ _ _ _ = Nothing + +-------------- +match_pred :: MatchEnv -> TvSubstEnv -> PredType -> PredType -> Maybe TvSubstEnv match_pred menv subst (ClassP c1 tys1) (ClassP c2 tys2) | c1 == c2 = match_tys menv subst tys1 tys2 match_pred menv subst (IParam n1 t1) (IParam n2 t2) | n1 == n2 = match menv subst t1 t2 -match_pred menv subst p1 p2 = Nothing +match_pred _ _ _ _ = Nothing \end{code} %************************************************************************ %* * - Unification + GADTs +%* * +%************************************************************************ + +Note [Pruning dead case alternatives] +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +Consider data T a where + T1 :: T Int + T2 :: T a + + newtype X = MkX Int + newtype Y = MkY Char + + type family F a + type instance F Bool = Int + +Now consider case x of { T1 -> e1; T2 -> e2 } + +The question before the house is this: if I know something about the type +of x, can I prune away the T1 alternative? + +Suppose x::T Char. It's impossible to construct a (T Char) using T1, + Answer = YES (clearly) + +Suppose x::T (F a), where 'a' is in scope. Then 'a' might be instantiated +to 'Bool', in which case x::T Int, so + ANSWER = NO (clearly) + +Suppose x::T X. Then *in Haskell* it's impossible to construct a (non-bottom) +value of type (T X) using T1. But *in FC* it's quite possible. The newtype +gives a coercion + CoX :: X ~ Int +So (T CoX) :: T X ~ T Int; hence (T1 `cast` sym (T CoX)) is a non-bottom value +of type (T X) constructed with T1. Hence + ANSWER = NO (surprisingly) + +Furthermore, this can even happen; see Trac #1251. GHC's newtype-deriving +mechanism uses a cast, just as above, to move from one dictionary to another, +in effect giving the programmer access to CoX. + +Finally, suppose x::T Y. Then *even in FC* we can't construct a +non-bottom value of type (T Y) using T1. That's because we can get +from Y to Char, but not to Int. + + +Here's a related question. data Eq a b where EQ :: Eq a a +Consider + case x of { EQ -> ... } + +Suppose x::Eq Int Char. Is the alternative dead? Clearly yes. + +What about x::Eq Int a, in a context where we have evidence that a~Char. +Then again the alternative is dead. + + + Summary + +We are really doing a test for unsatisfiability of the type +constraints implied by the match. And that is clearly, in general, a +hard thing to do. + +However, since we are simply dropping dead code, a conservative test +suffices. There is a continuum of tests, ranging from easy to hard, that +drop more and more dead code. + +For now we implement a very simple test: type variables match +anything, type functions (incl newtypes) match anything, and only +distinct data types fail to match. We can elaborate later. + +\begin{code} +typesCantMatch :: [(Type,Type)] -> Bool +typesCantMatch prs = any (\(s,t) -> cant_match s t) prs + where + cant_match :: Type -> Type -> Bool + cant_match t1 t2 + | Just t1' <- coreView t1 = cant_match t1' t2 + | Just t2' <- coreView t2 = cant_match t1 t2' + + cant_match (FunTy a1 r1) (FunTy a2 r2) + = cant_match a1 a2 || cant_match r1 r2 + + cant_match (TyConApp tc1 tys1) (TyConApp tc2 tys2) + | isDataTyCon tc1 && isDataTyCon tc2 + = tc1 /= tc2 || typesCantMatch (zipEqual "typesCantMatch" tys1 tys2) + + cant_match (FunTy {}) (TyConApp tc _) = isDataTyCon tc + cant_match (TyConApp tc _) (FunTy {}) = isDataTyCon tc + -- tc can't be FunTyCon by invariant + + cant_match (AppTy f1 a1) ty2 + | Just (f2, a2) <- repSplitAppTy_maybe ty2 + = cant_match f1 f2 || cant_match a1 a2 + cant_match ty1 (AppTy f2 a2) + | Just (f1, a1) <- repSplitAppTy_maybe ty1 + = cant_match f1 f2 || cant_match a1 a2 + + cant_match _ _ = False -- Safe! + +-- Things we could add; +-- foralls +-- look through newtypes +-- take account of tyvar bindings (EQ example above) +\end{code} + + +%************************************************************************ %* * + Unification +%* * %************************************************************************ \begin{code} tcUnifyTys :: (TyVar -> BindFlag) -> [Type] -> [Type] - -> Maybe TvSubst -- A regular one-shot substitution + -> Maybe TvSubst -- A regular one-shot (idempotent) substitution -- The two types may have common type variables, and indeed do so in the -- second call to tcUnifyTys in FunDeps.checkClsFD +-- tcUnifyTys bind_fn tys1 tys2 = maybeErrToMaybe $ initUM bind_fn $ - do { subst_env <- unify_tys emptyTvSubstEnv tys1 tys2 - - -- Find the fixed point of the resulting non-idempotent substitution - ; let in_scope = mkInScopeSet (tvs1 `unionVarSet` tvs2) - subst = TvSubst in_scope subst_env_fixpt - subst_env_fixpt = mapVarEnv (substTy subst) subst_env - ; return subst } - where - tvs1 = tyVarsOfTypes tys1 - tvs2 = tyVarsOfTypes tys2 - ----------------------------- -dataConCanMatch :: DataCon -> [Type] -> Bool --- Returns True iff the data con can match a scrutinee of type (T tys) --- where T is the type constructor for the data con -dataConCanMatch con tys - | isVanillaDataCon con - = True - | otherwise - = isSuccess $ initUM (\tv -> BindMe) $ - unify_tys emptyTvSubstEnv (dataConResTys con) tys - ----------------------------- -coreRefineTys :: DataCon -> [TyVar] -- Case pattern (con tv1 .. tvn ...) - -> Type -- Type of scrutinee - -> Maybe TypeRefinement - -type TypeRefinement = (TvSubstEnv, Bool) - -- The Bool is True iff all the bindings in the - -- env are for the pattern type variables - -- In this case, there is no type refinement - -- for already-in-scope type variables - --- Used by Core Lint and the simplifier. -coreRefineTys con tvs scrut_ty - = maybeErrToMaybe $ initUM (tryToBind tv_set) $ - do { -- Run the unifier, starting with an empty env - ; subst_env <- unify emptyTvSubstEnv pat_res_ty scrut_ty + do { subst <- unifyList emptyTvSubstEnv tys1 tys2 -- Find the fixed point of the resulting non-idempotent substitution - ; let subst = mkOpenTvSubst subst_env_fixpt - subst_env_fixpt = mapVarEnv (substTy subst) subst_env - - ; return (subst_env_fixpt, all_bound_here subst_env) } - where - pat_res_ty = dataConInstResTy con (mkTyVarTys tvs) + ; return (niFixTvSubst subst) } +\end{code} - -- 'tvs' are the tyvars bound by the pattern - tv_set = mkVarSet tvs - all_bound_here env = all bound_here (varEnvKeys env) - bound_here uniq = elemVarSetByKey uniq tv_set --- This version is used by the type checker -gadtRefineTys :: TvSubst - -> DataCon -> [TyVar] - -> [Type] -> [Type] - -> MaybeErr Message (TvSubst, Bool) --- The bool is True <=> the only *new* bindings are for pat_tvs +%************************************************************************ +%* * + Non-idempotent substitution +%* * +%************************************************************************ -gadtRefineTys (TvSubst in_scope env1) con pat_tvs pat_tys ctxt_tys - = initUM (tryToBind tv_set) $ - do { -- Run the unifier, starting with an empty env - ; env2 <- unify_tys env1 pat_tys ctxt_tys +Note [Non-idempotent substitution] +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +During unification we use a TvSubstEnv that is + (a) non-idempotent + (b) loop-free; ie repeatedly applying it yields a fixed point - -- Find the fixed point of the resulting non-idempotent substitution - ; let subst2 = TvSubst in_scope subst_env_fixpt - subst_env_fixpt = mapVarEnv (substTy subst2) env2 - - ; return (subst2, all_bound_here env2) } +\begin{code} +niFixTvSubst :: TvSubstEnv -> TvSubst +-- Find the idempotent fixed point of the non-idempotent substitution +-- ToDo: use laziness instead of iteration? +niFixTvSubst env = f env where - -- 'tvs' are the tyvars bound by the pattern - tv_set = mkVarSet pat_tvs - all_bound_here env = all bound_here (varEnvKeys env) - bound_here uniq = elemVarEnvByKey uniq env1 || elemVarSetByKey uniq tv_set - -- The bool is True <=> the only *new* bindings are for pat_tvs - ----------------------------- -tryToBind :: TyVarSet -> TyVar -> BindFlag -tryToBind tv_set tv | tv `elemVarSet` tv_set = BindMe - | otherwise = AvoidMe + f e | not_fixpoint = f (mapVarEnv (substTy subst) e) + | otherwise = subst + where + range_tvs = foldVarEnv (unionVarSet . tyVarsOfType) emptyVarSet e + subst = mkTvSubst (mkInScopeSet range_tvs) e + not_fixpoint = foldVarSet ((||) . in_domain) False range_tvs + in_domain tv = tv `elemVarEnv` e + +niSubstTvSet :: TvSubstEnv -> TyVarSet -> TyVarSet +-- Apply the non-idempotent substitution to a set of type variables, +-- remembering that the substitution isn't necessarily idempotent +-- This is used in the occurs check, before extending the substitution +niSubstTvSet subst tvs + = foldVarSet (unionVarSet . get) emptyVarSet tvs + where + get tv = case lookupVarEnv subst tv of + Nothing -> unitVarSet tv + Just ty -> niSubstTvSet subst (tyVarsOfType ty) \end{code} - %************************************************************************ %* * The workhorse @@ -300,8 +418,8 @@ tryToBind tv_set tv | tv `elemVarSet` tv_set = BindMe %************************************************************************ \begin{code} -unify :: TvSubstEnv -- An existing substitution to extend - -> Type -> Type -- Types to be unified +unify :: TvSubstEnv -- An existing substitution to extend + -> Type -> Type -- Types to be unified, and witness of their equality -> UM TvSubstEnv -- Just the extended substitution, -- Nothing if unification failed -- We do not require the incoming substitution to be idempotent, @@ -310,83 +428,81 @@ unify :: TvSubstEnv -- An existing substitution to extend -- Respects newtypes, PredTypes -unify subst ty1 ty2 = -- pprTrace "unify" (ppr subst <+> pprParendType ty1 <+> pprParendType ty2) $ - unify_ subst ty1 ty2 +-- in unify, any NewTcApps/Preds should be taken at face value +unify subst (TyVarTy tv1) ty2 = uVar subst tv1 ty2 +unify subst ty1 (TyVarTy tv2) = uVar subst tv2 ty1 --- in unify_, any NewTcApps/Preds should be taken at face value -unify_ subst (TyVarTy tv1) ty2 = uVar False subst tv1 ty2 -unify_ subst ty1 (TyVarTy tv2) = uVar True subst tv2 ty1 +unify subst ty1 ty2 | Just ty1' <- tcView ty1 = unify subst ty1' ty2 +unify subst ty1 ty2 | Just ty2' <- tcView ty2 = unify subst ty1 ty2' -unify_ subst ty1 ty2 | Just ty1' <- tcView ty1 = unify subst ty1' ty2 -unify_ subst ty1 ty2 | Just ty2' <- tcView ty2 = unify subst ty1 ty2' +unify subst (PredTy p1) (PredTy p2) = unify_pred subst p1 p2 -unify_ subst (PredTy p1) (PredTy p2) = unify_pred subst p1 p2 - -unify_ subst t1@(TyConApp tyc1 tys1) t2@(TyConApp tyc2 tys2) +unify subst (TyConApp tyc1 tys1) (TyConApp tyc2 tys2) | tyc1 == tyc2 = unify_tys subst tys1 tys2 -unify_ subst (FunTy ty1a ty1b) (FunTy ty2a ty2b) - = do { subst' <- unify subst ty1a ty2a - ; unify subst' ty1b ty2b } +unify subst (FunTy ty1a ty1b) (FunTy ty2a ty2b) + = do { subst' <- unify subst ty1a ty2a + ; unify subst' ty1b ty2b } -- 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 -unify_ subst (AppTy ty1a ty1b) ty2 +unify subst (AppTy ty1a ty1b) ty2 | Just (ty2a, ty2b) <- repSplitAppTy_maybe ty2 = do { subst' <- unify subst ty1a ty2a ; unify subst' ty1b ty2b } -unify_ subst ty1 (AppTy ty2a ty2b) +unify subst ty1 (AppTy ty2a ty2b) | Just (ty1a, ty1b) <- repSplitAppTy_maybe ty1 = do { subst' <- unify subst ty1a ty2a ; unify subst' ty1b ty2b } -unify_ subst ty1 ty2 = failWith (misMatch ty1 ty2) +unify _ ty1 ty2 = failWith (misMatch ty1 ty2) + -- ForAlls?? ------------------------------ +unify_pred :: TvSubstEnv -> PredType -> PredType -> UM TvSubstEnv unify_pred subst (ClassP c1 tys1) (ClassP c2 tys2) | c1 == c2 = unify_tys subst tys1 tys2 unify_pred subst (IParam n1 t1) (IParam n2 t2) | n1 == n2 = unify subst t1 t2 -unify_pred subst p1 p2 = failWith (misMatch (PredTy p1) (PredTy p2)) +unify_pred _ p1 p2 = failWith (misMatch (PredTy p1) (PredTy p2)) ------------------------------ -unify_tys = unifyList unify +unify_tys :: TvSubstEnv -> [Type] -> [Type] -> UM TvSubstEnv +unify_tys subst xs ys = unifyList subst xs ys -unifyList :: Outputable a - => (TvSubstEnv -> a -> a -> UM TvSubstEnv) - -> TvSubstEnv -> [a] -> [a] -> UM TvSubstEnv -unifyList unifier subst orig_xs orig_ys +unifyList :: TvSubstEnv -> [Type] -> [Type] -> UM TvSubstEnv +unifyList subst orig_xs orig_ys = go subst orig_xs orig_ys where go subst [] [] = return subst - go subst (x:xs) (y:ys) = do { subst' <- unifier subst x y - ; go subst' xs ys } - go subst _ _ = failWith (lengthMisMatch orig_xs orig_ys) + go subst (x:xs) (y:ys) = do { subst' <- unify subst x y + ; go subst' xs ys } + go _ _ _ = failWith (lengthMisMatch orig_xs orig_ys) ------------------------------- -uVar :: Bool -- Swapped - -> TvSubstEnv -- An existing substitution to extend +--------------------------------- +uVar :: TvSubstEnv -- An existing substitution to extend -> TyVar -- Type variable to be unified -> Type -- with this type -> UM TvSubstEnv -uVar swap subst tv1 ty +-- PRE-CONDITION: in the call (uVar swap r tv1 ty), we know that +-- if swap=False (tv1~ty) +-- if swap=True (ty~tv1) + +uVar subst tv1 ty = -- Check to see whether tv1 is refined by the substitution case (lookupVarEnv subst tv1) of - -- Yes, call back into unify' - Just ty' | swap -> unify subst ty ty' - | otherwise -> unify subst ty' ty - -- No, continue - Nothing -> uUnrefined subst tv1 ty ty - + Just ty' -> unify subst ty' ty -- Yes, call back into unify' + Nothing -> uUnrefined subst -- No, continue + tv1 ty ty uUnrefined :: TvSubstEnv -- An existing substitution to extend -> TyVar -- Type variable to be unified -> Type -- with this type - -> Type -- (de-noted version) + -> Type -- (version w/ expanded synonyms) -> UM TvSubstEnv -- We know that tv1 isn't refined @@ -396,7 +512,7 @@ uUnrefined subst tv1 ty2 ty2' = uUnrefined subst tv1 ty2 ty2'' -- Unwrap synonyms -- This is essential, in case we have -- type Foo a = a - -- and then unify a :=: Foo a + -- and then unify a ~ Foo a uUnrefined subst tv1 ty2 (TyVarTy tv2) | tv1 == tv2 -- Same type variable @@ -407,36 +523,27 @@ uUnrefined subst tv1 ty2 (TyVarTy tv2) = uUnrefined subst tv1 ty' ty' -- So both are unrefined; next, see if the kinds force the direction - | k1 == k2 -- Can update either; so check the bind-flags + | eqKind k1 k2 -- Can update either; so check the bind-flags = do { b1 <- tvBindFlag tv1 ; b2 <- tvBindFlag tv2 ; case (b1,b2) of (BindMe, _) -> bind tv1 ty2 - - (AvoidMe, BindMe) -> bind tv2 ty1 - (AvoidMe, _) -> bind tv1 ty2 - - (WildCard, WildCard) -> return subst - (WildCard, Skolem) -> return subst - (WildCard, _) -> bind tv2 ty1 - - (Skolem, WildCard) -> return subst (Skolem, Skolem) -> failWith (misMatch ty1 ty2) (Skolem, _) -> bind tv2 ty1 } - | k1 `isSubKind` k2 = bindTv subst tv2 ty1 -- Must update tv2 - | k2 `isSubKind` k1 = bindTv subst tv1 ty2 -- Must update tv1 + | k1 `isSubKind` k2 = bindTv subst tv2 ty1 -- Must update tv2 + | k2 `isSubKind` k1 = bindTv subst tv1 ty2 -- Must update tv1 | otherwise = failWith (kindMisMatch tv1 ty2) where ty1 = TyVarTy tv1 k1 = tyVarKind tv1 k2 = tyVarKind tv2 - bind tv ty = return (extendVarEnv subst tv ty) + bind tv ty = return $ extendVarEnv subst tv ty uUnrefined subst tv1 ty2 ty2' -- ty2 is not a type variable - | tv1 `elemVarSet` substTvSet subst (tyVarsOfType ty2') + | tv1 `elemVarSet` niSubstTvSet subst (tyVarsOfType ty2') = failWith (occursCheck tv1 ty2) -- Occurs check | not (k2 `isSubKind` k1) = failWith (kindMisMatch tv1 ty2) -- Kind check @@ -446,48 +553,43 @@ uUnrefined subst tv1 ty2 ty2' -- ty2 is not a type variable k1 = tyVarKind tv1 k2 = typeKind ty2' -substTvSet :: TvSubstEnv -> TyVarSet -> TyVarSet --- Apply the non-idempotent substitution to a set of type variables, --- remembering that the substitution isn't necessarily idempotent -substTvSet subst tvs - = foldVarSet (unionVarSet . get) emptyVarSet tvs - where - get tv = case lookupVarEnv subst tv of - Nothing -> unitVarSet tv - Just ty -> substTvSet subst (tyVarsOfType ty) - +bindTv :: TvSubstEnv -> TyVar -> Type -> UM TvSubstEnv bindTv subst tv ty -- ty is not a type variable - = do { b <- tvBindFlag tv + = do { b <- tvBindFlag tv ; case b of - Skolem -> failWith (misMatch (TyVarTy tv) ty) - WildCard -> return subst - other -> return (extendVarEnv subst tv ty) + Skolem -> failWith (misMatch (TyVarTy tv) ty) + BindMe -> return $ extendVarEnv subst tv ty } \end{code} %************************************************************************ %* * - Unification monad + Binding decisions %* * %************************************************************************ \begin{code} data BindFlag = BindMe -- A regular type variable - | AvoidMe -- Like BindMe but, given the choice, avoid binding it | Skolem -- This type variable is a skolem constant -- Don't bind it; it only matches itself +\end{code} - | WildCard -- This type variable matches anything, - -- and does not affect the substitution +%************************************************************************ +%* * + Unification monad +%* * +%************************************************************************ + +\begin{code} newtype UM a = UM { unUM :: (TyVar -> BindFlag) -> MaybeErr Message a } instance Monad UM where - return a = UM (\tvs -> Succeeded a) - fail s = UM (\tvs -> Failed (text s)) + return a = UM (\_tvs -> Succeeded a) + fail s = UM (\_tvs -> Failed (text s)) m >>= k = UM (\tvs -> case unUM m tvs of Failed err -> Failed err Succeeded v -> unUM (k v) tvs) @@ -499,21 +601,11 @@ tvBindFlag :: TyVar -> UM BindFlag tvBindFlag tv = UM (\tv_fn -> Succeeded (tv_fn tv)) failWith :: Message -> UM a -failWith msg = UM (\tv_fn -> Failed msg) +failWith msg = UM (\_tv_fn -> Failed msg) maybeErrToMaybe :: MaybeErr fail succ -> Maybe succ maybeErrToMaybe (Succeeded a) = Just a -maybeErrToMaybe (Failed m) = Nothing - ------------------------------- -repSplitAppTy_maybe :: Type -> Maybe (Type,Type) --- Like Type.splitAppTy_maybe, but any coreView stuff is already done -repSplitAppTy_maybe (FunTy ty1 ty2) = Just (TyConApp funTyCon [ty1], ty2) -repSplitAppTy_maybe (AppTy ty1 ty2) = Just (ty1, ty2) -repSplitAppTy_maybe (TyConApp tc tys) = case snocView tys of - Just (tys', ty') -> Just (TyConApp tc tys', ty') - Nothing -> Nothing -repSplitAppTy_maybe other = Nothing +maybeErrToMaybe (Failed _) = Nothing \end{code} @@ -527,21 +619,25 @@ repSplitAppTy_maybe other = Nothing %************************************************************************ \begin{code} +misMatch :: Type -> Type -> SDoc misMatch t1 t2 - = ptext SLIT("Can't match types") <+> quotes (ppr t1) <+> - ptext SLIT("and") <+> quotes (ppr t2) + = ptext (sLit "Can't match types") <+> quotes (ppr t1) <+> + ptext (sLit "and") <+> quotes (ppr t2) +lengthMisMatch :: [Type] -> [Type] -> SDoc lengthMisMatch tys1 tys2 - = sep [ptext SLIT("Can't match unequal length lists"), + = sep [ptext (sLit "Can't match unequal length lists"), nest 2 (ppr tys1), nest 2 (ppr tys2) ] +kindMisMatch :: TyVar -> Type -> SDoc kindMisMatch tv1 t2 - = vcat [ptext SLIT("Can't match kinds") <+> quotes (ppr (tyVarKind tv1)) <+> - ptext SLIT("and") <+> quotes (ppr (typeKind t2)), - ptext SLIT("when matching") <+> quotes (ppr tv1) <+> - ptext SLIT("with") <+> quotes (ppr t2)] + = vcat [ptext (sLit "Can't match kinds") <+> quotes (ppr (tyVarKind tv1)) <+> + ptext (sLit "and") <+> quotes (ppr (typeKind t2)), + ptext (sLit "when matching") <+> quotes (ppr tv1) <+> + ptext (sLit "with") <+> quotes (ppr t2)] +occursCheck :: TyVar -> Type -> SDoc occursCheck tv ty - = hang (ptext SLIT("Can't construct the infinite type")) + = hang (ptext (sLit "Can't construct the infinite type")) 2 (ppr tv <+> equals <+> ppr ty) -\end{code} \ No newline at end of file +\end{code}