From: Mart Lubbers Date: Wed, 6 Mar 2019 10:21:15 +0000 (+0100) Subject: interpret X-Git-Url: https://git.martlubbers.net/?a=commitdiff_plain;h=8271e638a28c70d69cdea378669e9c41fac6df1b;p=minfp.git interpret --- diff --git a/Makefile b/Makefile index 412aba0..c0b5828 100644 --- a/Makefile +++ b/Makefile @@ -1,5 +1,5 @@ CLM?=clm -CLMFLAGS?=-b -lat +CLMFLAGS?=-b CLMLIBS?=-IL Platform all: main diff --git a/ast.dcl b/ast.dcl index 720855a..5f7b1b5 100644 --- a/ast.dcl +++ b/ast.dcl @@ -1,7 +1,10 @@ definition module ast +from Data.Either import :: Either from StdOverloaded import class toString +from int import :: Eval + :: Function = Function [Char] [[Char]] Expression :: Expression @@ -9,12 +12,11 @@ from StdOverloaded import class toString | Var [Char] | App Expression Expression | Lambda [Char] Expression - | Builtin [Char] [Expression] | Let [Char] Expression Expression :: Value = Int Int | Bool Bool - | Func Int [Expression] ([Expression] -> Expression) + | Func (Expression -> Eval Value) instance toString Function, Expression, Value diff --git a/ast.icl b/ast.icl index 8ee15a2..a240b55 100644 --- a/ast.icl +++ b/ast.icl @@ -1,7 +1,9 @@ implementation module ast import StdEnv +import Data.Either import Text +import int instance toString Function where toString (Function i a e) = concat [toString i, " ", join " " (map toString a), " = ", toString e] @@ -11,11 +13,10 @@ instance toString Expression where toString (Var s) = toString s toString (App l r) = concat ["(", toString l, " ", toString r, ")"] toString (Lambda a e) = concat ["(\\", toString a, ".", toString e, ")"] - toString (Builtin v as) = concat ["'", toString v, "'", join " " (map toString as)] toString (Let i b r) = concat [toString i, " = ", toString b, "\n", toString r] toString _ = abort "toString Expression not implemented" instance toString Value where toString (Int i) = toString i toString (Bool b) = toString b - toString (Func a as _) = concat ["Function arity ", toString a, " curried ", join "," (map toString as)] + toString (Func a) = concat ["Function "] diff --git a/check.dcl b/check.dcl index 322bd4a..91059a7 100644 --- a/check.dcl +++ b/check.dcl @@ -5,7 +5,7 @@ from Data.Either import :: Either from ast import :: Function, :: Expression :: Scheme = Forall [[Char]] Type -:: Type = TVar [Char] | TInt | TBool | TFun Type Type +:: Type = TVar [Char] | TInt | TBool | (-->) infixr 9 Type Type instance toString Scheme, Type diff --git a/check.icl b/check.icl index 3800632..68d258a 100644 --- a/check.icl +++ b/check.icl @@ -22,7 +22,7 @@ check fs ([], _) = Left ["No start function defined"] ([Function _ [] e], fs) # e = foldr (\(Function i a e)->Let i (foldr ((o) o Lambda) id a e)) e fs - = (\x->(e, x)) <$> runInfer (infer newMap e) + = (\x->(e, x)) <$> runInfer (infer preamble e) ([Function _ _ _], _) = Left ["Start cannot have arguments"] instance toString Scheme where @@ -32,9 +32,18 @@ instance toString Type where toString (TVar a) = toString a toString TInt = "Int" toString TBool = "Bool" - toString (TFun a b) = concat ["(", toString a, ") -> ", toString b] + toString (a --> b) = concat ["(", toString a, ") -> ", toString b] :: TypeEnv :== Map [Char] Scheme +preamble :: TypeEnv +preamble = fromList + [(['_if'], Forall [['_ift']] + $ TBool --> TVar ['_ift'] --> TVar ['_ift'] --> TVar ['_ift']) + ,(['_eq'], Forall [['_eq']] $ TInt --> TInt --> TBool) + ,(['_mul'], Forall [['_mul']] $ TInt --> TInt --> TInt) + ,(['_add'], Forall [['_add']] $ TInt --> TInt --> TInt) + ,(['_sub'], Forall [['_sub']] $ TInt --> TInt --> TInt) + ] :: Subst :== Map [Char] Type :: Infer a :== StateT [Int] (Either [String]) a @@ -45,8 +54,8 @@ runInfer i = uncurry ((o) (generalize newMap) o apply) fresh :: Infer Type fresh = getState >>= \[s:ss]->put ss >>| pure (TVar (['v':[c\\c<-:toString s]])) -compose :: Subst Subst -> Subst -compose s1 s2 = 'Data.Map'.union (apply s1 <$> s2) s1 +(oo) infixr 9 :: Subst Subst -> Subst +(oo) s1 s2 = 'Data.Map'.union (apply s1 <$> s2) s1 class Substitutable a where apply :: Subst a -> a @@ -54,11 +63,11 @@ class Substitutable a where instance Substitutable Type where apply s t=:(TVar v) = fromMaybe t (get v s) - apply s (TFun t1 t2) = on TFun (apply s) t1 t2 + apply s (t1 --> t2) = apply s t1 --> apply s t2 apply _ x = x ftv (TVar v) = [v] - ftv (TFun t1 t2) = on union ftv t1 t2 + ftv (t1 --> t2) = on union ftv t1 t2 ftv _ = [] instance Substitutable Scheme where @@ -77,22 +86,20 @@ occursCheck :: [Char] -> (a -> Bool) | Substitutable a occursCheck a = isMember a o ftv unify :: Type Type -> Infer Subst -unify (TFun l r) (TFun l` r`) +unify (l --> r) (l` --> r`) = unify l l` >>= \s1->on unify (apply s1) r r` - >>= \s2->pure (compose s1 s2) -unify (TVar a) t = bind a t -unify t (TVar a) = bind a t + >>= \s2->pure (s1 oo s2) +unify (TVar a) (TVar t) + | a == t = pure newMap +unify (TVar a) t + | occursCheck a t = liftT (Left ["Infinite type: ", toString a, " to ", toString t]) + = pure (singleton a t) +unify t (TVar a) = unify (TVar a) t unify TInt TInt = pure newMap unify TBool TBool = pure newMap unify t1 t2 = liftT (Left ["Cannot unify: ", toString t1, " with ", toString t2]) -bind :: [Char] Type -> Infer Subst -bind a (TVar t) | a == t = pure newMap -bind a t - | occursCheck a t = liftT (Left ["Infinite type: ", toString a, " and ", toString t]) - = pure (singleton a t) - instantiate :: Scheme -> Infer Type instantiate (Forall as t) = sequence [fresh\\_<-as] @@ -111,14 +118,18 @@ infer env (App e1 e2) = fresh >>= \tv-> infer env e1 >>= \(s1, t1)->infer (apply s1 env) e2 - >>= \(s2, t2)->unify (apply s2 t1) (TFun t2 tv) - >>= \s3-> pure (compose (compose s3 s2) s1, apply s3 tv) + >>= \(s2, t2)->unify (apply s2 t1) (t2 --> tv) + >>= \s3-> pure (s1 oo s2 oo s3, apply s3 tv) infer env (Lambda x b) = fresh >>= \tv-> infer ('Data.Map'.put x (Forall [] tv) env) b - >>= \(s1, t1)->pure (s1, TFun (apply s1 tv) t1) -infer env (Builtin c a) = undef + >>= \(s1, t1)->pure (s1, apply s1 tv --> t1) +//infer env (Let x e1 e2) +// = infer env e1 +// >>= \(s1, t1)->infer ('Data.Map'.put x (generalize (apply s1 env) t1) env) e2 +// >>= \(s2, t2)->pure (s1 oo s2, t2) infer env (Let x e1 e2) - = infer env e1 - >>= \(s1, t1)->let env` = apply s1 env in infer ('Data.Map'.put x (generalize env` t1) env) e2 - >>= \(s2, t2)->pure (compose s1 s2, t2) + = fresh + >>= \tv-> infer ('Data.Map'.put x (Forall [] tv) env) e1 + >>= \(s1, t1)->infer ('Data.Map'.put x (generalize (apply s1 env) t1) env) e2 + >>= \(s2, t2)->pure (s1 oo s2, t2) diff --git a/int.dcl b/int.dcl index b36e59a..356b986 100644 --- a/int.dcl +++ b/int.dcl @@ -3,4 +3,5 @@ definition module int from Data.Either import :: Either from ast import :: Expression, :: Value +:: Eval a int :: Expression -> Either [String] Value diff --git a/int.icl b/int.icl index 3b82750..4eeedf0 100644 --- a/int.icl +++ b/int.icl @@ -14,21 +14,21 @@ import Control.Monad.Trans import ast int :: Expression -> Either [String] Value -int e = evalStateT (eval e >>= printer) preamble - -err :: String -> Eval a -err e = liftT (Left [e]) +int e = evalStateT (eval e) preamble :: Eval a :== StateT EvalState (Either [String]) a :: EvalState :== [([Char], Value)] preamble = - [(['if'], Func 3 [] (Builtin ['if'])) - ,(['eq'], Func 2 [] (Builtin ['eq'])) - ,(['mul'], Func 2 [] (Builtin ['mul'])) - ,(['div'], Func 2 [] (Builtin ['div'])) - ,(['add'], Func 2 [] (Builtin ['add'])) - ,(['sub'], Func 2 [] (Builtin ['sub'])) + [(['_if'], Func \i->pure (Func \t->pure (Func \e->eval i >>= \(Bool b)-> + if b (eval t) (eval e)))) + ,(['_eq'], binop \(Int i) (Int j)->Bool (i==j)) + ,(['_sub'], binop \(Int i) (Int j)->Int (i-j)) + ,(['_add'], binop \(Int i) (Int j)->Int (i+j)) + ,(['_mul'], binop \(Int i) (Int j)->Int (i*j)) + ,(['_div'], binop \(Int i) (Int j)->Int (i/j)) ] +where + binop op = Func \l->pure (Func \r->op <$> eval l <*> eval r) sub :: [Char] Expression Expression -> Expression sub ident subst (Let v b rest) @@ -41,37 +41,10 @@ sub ident subst (Lambda v b) | ident <> v = Lambda v (sub ident b subst) sub _ _ x = x -printer :: Value -> Eval Value -printer (Func 0 args body) = eval (body args) >>= printer -printer a = pure a - eval :: Expression -> Eval Value eval (Let ident body rest) - = modify (\vs->[(ident, Func 0 [] \_->body):vs]) - >>| eval rest + = eval body >>= \v->modify (\vs->[(ident, v):vs]) >>| eval rest eval (Lit v) = pure v -eval (Var v) = gets (lookup v) >>= maybe (err (toString v +++ " not found")) pure -eval (App e1 e2) = eval e1 >>= \v->case v of -// (Func 0 a b) = err ("Saturated function: : " +++ toString e1) - (Func n as b) = pure (Func (n-1) (as ++ [e2]) b) -// _ = err ("Cannot apply " +++ toString e2 +++ " to " +++ toString e1) -eval (Lambda a b) = pure (Func 1 [] (\[arg]->sub a arg b)) -eval (Builtin i as) = case (i, as) of - (['if'], [p,t,e]) = eval p >>= printer >>= \v->case v of - Bool v = eval (if v t e) -// _ = err ("first argument of if must be a bool but is " +++ toString v) - (['add'], [l,r]) = eval l >>= printer >>= \l->eval r >>= printer >>= \r->case (l,r) of - (Int a, Int b) = pure (Int (a + b)) -// _ = err "add only defined for integers" - (['sub'], [l,r]) = eval l >>= printer >>= \l->eval r >>= printer >>= \r->case (l,r) of - (Int a, Int b) = pure (Int (a - b)) -// _ = err "sub only defined for integers" - (['mul'], [l,r]) = eval l >>= printer >>= \l->eval r >>= printer >>= \r->case (l,r) of - (Int a, Int b) = pure (Int (a * b)) -// _ = err "mul only defined for integers" - (['div'], [l,r]) = eval l >>= \l->eval r >>= \r->case (l,r) of - (Int a, Int b) = pure (Int (a / b)) -// _ = err "div only defined for integers" - (['eq'], [l,r]) = eval l >>= printer >>= \l->eval r >>= printer >>= \r->case (l,r) of - (Int a, Int b) = pure (Bool (a == b)) -// _ = err "eq only defined for integers" +eval (Var v) = gets (lookup v) >>= maybe (liftT (Left [toString v +++ " not found"])) pure +eval (App e1 e2) = eval e1 >>= \(Func v)->v e2 +eval (Lambda a b) = pure (Func \arg->eval (sub a arg b)) diff --git a/main.icl b/main.icl index a13f267..9f9fd86 100644 --- a/main.icl +++ b/main.icl @@ -46,6 +46,6 @@ Start w MHelp = Left [usageInfo ("Usage: " +++ argv0 +++ " [opts]\n") opts] MLex = map (\x->toString x +++ "\n") <$> lex cs MParse = map (\x->toString x +++ "\n") <$> (lex cs >>= parse) - MType = (\(e, x)->[toString x, "\n", toString e]) <$> (lex cs >>= parse >>= check) + MType = (\(e, x)->["type: ",toString x, "\n", toString e]) <$> (lex cs >>= parse >>= check) MInterpret = (\x->[toString x]) <$> (lex cs >>= parse >>= check >>= int o fst) MGen = lex cs >>= parse >>= check >>= gen o fst diff --git a/parse.icl b/parse.icl index 7d4fb2e..0c30e8c 100644 --- a/parse.icl +++ b/parse.icl @@ -116,4 +116,5 @@ where <|> pToken TTBrackOpen *> pExpression <* pToken TTBrackClose <|> (\(TTInt i)->Lit (Int i)) <$> pTop ? (\t->t=:(TTInt _)) <|> (\(TTBool i)->Lit (Bool i)) <$> pTop ? (\t->t=:(TTBool _)) + <|> (\x->Var ['_':x]) <$ pId ? ((==)['code']) <*> pId <|> Var <$> pId diff --git a/tests/preamble.mfp b/tests/preamble.mfp index 3263957..bfceec2 100644 --- a/tests/preamble.mfp +++ b/tests/preamble.mfp @@ -1,8 +1,9 @@ $ ifxr 0 x y = x y; & ifxr 0 x y = y x; -== ifxl 7 x y = eq x y; -* ifxl 7 x y = mul x y; -- ifxl 6 x y = sub x y; -+ ifxl 6 x y = add x y; -fac i = if (i == 0) 1 $ i * fac (i - 1); +== ifxl 7 = code eq; +* ifxl 7 = code mul; +- ifxl 6 = code sub; ++ ifxl 6 = code add; +if = code if; +fac i = if (i == 0) 1 (i * fac (i - 1)); start = fac 5;