+
+Note [Over-saturated matches]
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+It's ok to look up an over-saturated type constructor. E.g.
+ type family F a :: * -> *
+ type instance F (a,b) = Either (a->b)
+
+The type instance gives rise to a newtype TyCon (at a higher kind
+which you can't do in Haskell!):
+ newtype FPair a b = FP (Either (a->b))
+
+Then looking up (F (Int,Bool) Char) will return a FamInstMatch
+ (FPair, [Int,Bool,Char])
+
+The "extra" type argument [Char] just stays on the end.
+
+
+
+
+%************************************************************************
+%* *
+ Looking up a family instance
+%* *
+%************************************************************************
+
+\begin{code}
+topNormaliseType :: FamInstEnvs
+ -> Type
+ -> Maybe (Coercion, Type)
+
+-- Get rid of *outermost* (or toplevel)
+-- * type functions
+-- * newtypes
+-- using appropriate coercions.
+-- By "outer" we mean that toplevelNormaliseType guarantees to return
+-- a type that does not have a reducible redex (F ty1 .. tyn) as its
+-- outermost form. It *can* return something like (Maybe (F ty)), where
+-- (F ty) is a redex.
+
+-- Its a bit like Type.repType, but handles type families too
+
+topNormaliseType env ty
+ = go [] ty
+ where
+ go :: [TyCon] -> Type -> Maybe (Coercion, Type)
+ go rec_nts ty | Just ty' <- coreView ty -- Expand synonyms
+ = go rec_nts ty'
+
+ go rec_nts (TyConApp tc tys)
+ | isNewTyCon tc -- Expand newtypes
+ = if tc `elem` rec_nts -- See Note [Expanding newtypes] in Type.lhs
+ then Nothing
+ else let nt_co = mkAxInstCo (newTyConCo tc) tys
+ in add_co nt_co rec_nts' nt_rhs
+
+ | isFamilyTyCon tc -- Expand open tycons
+ , (co, ty) <- normaliseTcApp env tc tys
+ -- Note that normaliseType fully normalises,
+ -- but it has do to so to be sure that
+ , not (isReflCo co)
+ = add_co co rec_nts ty
+ where
+ nt_rhs = newTyConInstRhs tc tys
+ rec_nts' | isRecursiveTyCon tc = tc:rec_nts
+ | otherwise = rec_nts
+
+ go _ _ = Nothing
+
+ add_co co rec_nts ty
+ = case go rec_nts ty of
+ Nothing -> Just (co, ty)
+ Just (co', ty') -> Just (mkTransCo co co', ty')
+
+
+---------------
+normaliseTcApp :: FamInstEnvs -> TyCon -> [Type] -> (Coercion, Type)
+normaliseTcApp env tc tys
+ | isFamilyTyCon tc
+ , tyConArity tc <= length tys -- Unsaturated data families are possible
+ , [(fam_inst, inst_tys)] <- lookupFamInstEnv env tc ntys
+ = let -- A matching family instance exists
+ rep_tc = famInstTyCon fam_inst
+ co_tycon = expectJust "lookupFamInst" (tyConFamilyCoercion_maybe rep_tc)
+ co = mkAxInstCo co_tycon inst_tys
+ first_coi = mkTransCo tycon_coi co
+ (rest_coi,nty) = normaliseType env (mkTyConApp rep_tc inst_tys)
+ fix_coi = mkTransCo first_coi rest_coi
+ in
+ (fix_coi, nty)
+
+ | otherwise -- No unique matching family instance exists;
+ -- we do not do anything
+ = (tycon_coi, TyConApp tc ntys)
+
+ where
+ -- Normalise the arg types so that they'll match
+ -- when we lookup in in the instance envt
+ (cois, ntys) = mapAndUnzip (normaliseType env) tys
+ tycon_coi = mkTyConAppCo tc cois
+
+---------------
+normaliseType :: FamInstEnvs -- environment with family instances
+ -> Type -- old type
+ -> (Coercion, Type) -- (coercion,new type), where
+ -- co :: old-type ~ new_type
+-- Normalise the input type, by eliminating *all* type-function redexes
+-- Returns with Refl if nothing happens
+
+normaliseType env ty
+ | Just ty' <- coreView ty = normaliseType env ty'
+normaliseType env (TyConApp tc tys)
+ = normaliseTcApp env tc tys
+normaliseType env (AppTy ty1 ty2)
+ = let (coi1,nty1) = normaliseType env ty1
+ (coi2,nty2) = normaliseType env ty2
+ in (mkAppCo coi1 coi2, mkAppTy nty1 nty2)
+normaliseType env (FunTy ty1 ty2)
+ = let (coi1,nty1) = normaliseType env ty1
+ (coi2,nty2) = normaliseType env ty2
+ in (mkFunCo coi1 coi2, mkFunTy nty1 nty2)
+normaliseType env (ForAllTy tyvar ty1)
+ = let (coi,nty1) = normaliseType env ty1
+ in (mkForAllCo tyvar coi, ForAllTy tyvar nty1)
+normaliseType _ ty@(TyVarTy _)
+ = (Refl ty,ty)
+normaliseType env (PredTy predty)
+ = normalisePred env predty
+
+---------------
+normalisePred :: FamInstEnvs -> PredType -> (Coercion,Type)
+normalisePred env (ClassP cls tys)
+ = let (cos,tys') = mapAndUnzip (normaliseType env) tys
+ in (mkPredCo $ ClassP cls cos, PredTy $ ClassP cls tys')
+normalisePred env (IParam ipn ty)
+ = let (co,ty') = normaliseType env ty
+ in (mkPredCo $ (IParam ipn co), PredTy $ IParam ipn ty')
+normalisePred env (EqPred ty1 ty2)
+ = let (co1,ty1') = normaliseType env ty1
+ (co2,ty2') = normaliseType env ty2
+ in (mkPredCo $ (EqPred co1 co2), PredTy $ EqPred ty1' ty2')
+\end{code}
projects / ghc-hetmet.git / blobdiff