From: pimjager Date: Fri, 29 Apr 2016 16:12:20 +0000 (+0200) Subject: Working on inference for statements X-Git-Url: https://git.martlubbers.net/?a=commitdiff_plain;h=8b4fd06c312726ab9b509e5978206c19ddb9cf04;p=cc1516.git Working on inference for statements --- diff --git a/sem.icl b/sem.icl index fa4b3ae..8ed05eb 100644 --- a/sem.icl +++ b/sem.icl @@ -128,13 +128,16 @@ instance Typeable Gamma where ftv gamma = concatMap id $ map ftv ('Map'.elems gamma) subst s gamma = Mapmap (subst s) gamma +extend :: String Scheme Gamma -> Gamma +extend k t g = 'Map'.put k t g + //// ------------------------ //// algorithm U, Unification //// ------------------------ instance zero Substitution where zero = 'Map'.newMap compose :: Substitution Substitution -> Substitution -compose s1 s2 = 'Map'.union (Mapmap (subst s2) s1) s2 +compose s1 s2 = 'Map'.union (Mapmap (subst s1) s2) s1 //Note: just like function compositon compose does snd first occurs :: TVar a -> Bool | Typeable a @@ -164,8 +167,8 @@ gamma :: Typing Gamma gamma = gets fst putGamma :: Gamma -> Typing () putGamma g = modify (appFst $ const g) >>| pure () -changeGamma :: (Gamma -> Gamma) -> Typing () -changeGamma f = modify (appFst f) >>| pure () +changeGamma :: (Gamma -> Gamma) -> Typing Gamma +changeGamma f = modify (appFst f) >>| gamma withGamma :: (Gamma -> a) -> Typing a withGamma f = f <$> gamma fresh :: Typing Type @@ -190,19 +193,21 @@ instantiate (Forall bound t) = generalize :: Type -> Typing Scheme generalize t = gamma >>= \g-> pure $ Forall (difference (ftv t) (ftv g)) t -lookup :: String -> Typing Scheme +lookup :: String -> Typing Type lookup k = gamma >>= \g-> case 'Map'.member k g of False = liftT (Left $ UndeclaredVariableError zero k) - True = pure ('Map'.find k g) + True = instantiate $ 'Map'.find k g //The inference class //When tying it all together we will treat the program is a big //let x=e1 in let y=e2 in .... class infer a :: a -> Typing (Substitution, Type) +////---- Inference for Expressions ---- + instance infer Expr where infer e = case e of - VarExpr _ (VarDef k fs) = (\t->(zero,t)) <$> (lookup k >>= instantiate) + VarExpr _ (VarDef k fs) = (\t->(zero,t)) <$> lookup k //instantiate is key for the let polymorphism! //TODO: field selectors @@ -213,7 +218,7 @@ instance infer Expr where let given = t1 ->> t2 ->> tv in op2Type op >>= \expected -> lift (unify expected given) >>= \s3 -> - pure ((compose s1 $ compose s2 s3), subst s3 tv) + pure ((compose s3 $ compose s2 s1), subst s3 tv) Op1Expr _ op e1 = infer e1 >>= \(s1, t1) -> @@ -221,23 +226,23 @@ instance infer Expr where let given = t1 ->> tv in op1Type op >>= \expected -> lift (unify expected given) >>= \s2 -> - pure (compose s1 s2, subst s2 tv) + pure (compose s2 s1, subst s2 tv) EmptyListExpr _ = (\tv->(zero,tv)) <$> fresh TupleExpr _ (e1, e2) = infer e1 >>= \(s1, t1) -> infer e2 >>= \(s2, t2) -> - pure (compose s1 s2, TupleType (t1,t2)) + pure (compose s2 s1, TupleType (t1,t2)) FunExpr _ f args fs = //todo: fieldselectors - lookup f >>= instantiate >>= \expected -> - let accTypSub = (\(s,ts) e->infer e >>= \(s_,et)->pure (compose s_ s,ts++[et])) in - foldM accTypSub (zero,[]) args >>= \(s1, argTs)-> + lookup f >>= \expected -> + let accST = (\(s,ts) e->infer e >>= \(s_,et)->pure (compose s_ s,ts++[et])) in + foldM accST (zero,[]) args >>= \(s1, argTs)-> fresh >>= \tv-> let given = foldr (->>) tv argTs in lift (unify expected given) >>= \s2-> - pure (compose s1 s2, subst s2 tv) + pure (compose s2 s1, subst s2 tv) IntExpr _ _ = pure $ (zero, IntType) BoolExpr _ _ = pure $ (zero, BoolType) @@ -261,6 +266,39 @@ op1Type :: Op1 -> Typing Type op1Type UnNegation = pure $ (BoolType ->> BoolType) op1Type UnMinus = pure $ (IntType ->> IntType) +////----- Inference for Statements ----- +applySubst :: Substitution -> Typing Gamma +applySubst s = changeGamma (subst s) + +instance infer Stmt where + infer s = case s of + IfStmt e th el = + infer e >>= \(s1, et)-> + lift (unify et BoolType) >>= \s2 -> + applySubst (compose s2 s1) >>| + infer th >>= \(s3, tht)-> + applySubst s3 >>| + infer el >>= \(s4, elt)-> + applySubst s4 >>| + lift (unify tht elt) >>= \s5-> + pure (compose s5 $ compose s4 $ compose s3 $ compose s1 s2, subst s5 tht) + + WhileStmt e wh = + infer e >>= \(s1, et)-> + lift (unify et BoolType) >>= \s2 -> + applySubst (compose s2 s1) >>| + infer wh >>= \(s3, wht)-> + pure (compose s3 $ compose s1 s2, subst s3 wht) + + AssStmt (VarDef k fs) e = + infer e >>= \(s1, et)-> + applySubst s1 >>| + changeGamma (extend k (Forall [] et)) >>| //todo: fieldselectors + pure (s1, VoidType) + + +instance infer [a] | infer a where + infer _ = undef Mapmap :: (a->b) ('Map'.Map k a) -> ('Map'.Map k b) Mapmap _ 'Map'.Tip = 'Map'.Tip