X-Git-Url: http://git.tomasm.cz/fp.git/blobdiff_plain/bff68fbafa3711186b19a1c5dcc16becb49f162a..0d7d9b4184cd881452d854cc571595f518fb1afe:/src/HM.hs?ds=sidebyside diff --git a/src/HM.hs b/src/HM.hs index 18c1f30..e643938 100644 --- a/src/HM.hs +++ b/src/HM.hs @@ -16,7 +16,6 @@ module HM , TypedTerm(..) -- * Type inference , algW - , runTI ) where import Control.Monad.Except @@ -77,6 +76,11 @@ instantiate (TSForAll v t) = do nv <- newVar instantiate $ substituteS (Map.singleton v nv) t +generalize :: TypeEnv -> Type -> TypeScheme +generalize e t = foldr TSForAll (TScheme t) vars + where + vars = Set.toList $ freeVarsT t Set.\\ Set.unions (map freeVarsS $ Map.elems e) + unify :: Type -> Type -> TI Substitution unify (TypeVar a) t = varBind a t unify t (TypeVar a) = varBind a t @@ -87,13 +91,20 @@ unify (TypeFunction a b) (TypeFunction a' b') = do unify (Primitive a) (Primitive b) | a == b = return idSub unify a b = fail $ "cannot unify " ++ show a ++ " with " ++ show b +tiLit :: Literal -> TI (Substitution, Type) +tiLit (LBool _) = return (idSub, Primitive "Bool") +tiLit (LInt _) = return (idSub, Primitive "Integer") +tiLit (LFunc If) = do + a <- newVar + return (idSub, Primitive "Bool" `TypeFunction` (a `TypeFunction` (a `TypeFunction` a))) + ti :: TypeEnv -> TypedTerm -> TI (Substitution, Type) ---ti _ (TTerm (Var v) (TScheme t@(Primitive _))) = return (idSub, t) ti e (TTerm tr sch) = do (s, t) <- ti e (NTTerm tr) sch' <- instantiate sch s' <- unify t sch' return (s', substituteT s' sch') +ti _ (NTTerm (Lit l)) = tiLit l ti e (NTTerm (Var v)) = case Map.lookup v e of Nothing -> fail $ "unbound variable: " ++ v Just sigma -> do @@ -104,8 +115,21 @@ ti e (NTTerm (Lam x y)) = do let e' = Map.insert x (TScheme tv) e (s, t) <- ti e' y return (s, TypeFunction (substituteT s tv) t) - -algW :: TypedTerm -> TI Type -algW t = do +ti e (NTTerm (App a b)) = do + tv <- newVar + (s1, t1) <- ti e a + (s2, t2) <- ti (Map.map (substituteS s1) e) b + s3 <- unify (substituteT s2 t1) (TypeFunction t2 tv) + return (s3 `composeSub` s2 `composeSub` s1, substituteT s3 tv) +ti e (NTTerm (Let x a b)) = do + (s1, t1) <- ti e a + let t' = generalize (Map.map (substituteS s1) e) t1 + e' = Map.insert x t' e + (s2, t2) <- ti (Map.map (substituteS s1) e') b + return (s1 `composeSub` s2, t2) + + +algW :: TypedTerm -> Either String Type +algW t = fst . runTI $ do (s, u) <- ti Map.empty t return $ substituteT s u