@@ -20,10 +20,15 @@ module PureScript.TypeChecker.Types (
2020
2121import Data.List
2222import Data.Function
23+import Data.Data (Data(..))
24+import Data.Generics (everywhere, everywhereM, everything, mkT, mkM, mkQ, extM, extQ)
2325
2426import PureScript.Values
2527import PureScript.Types
28+import PureScript.Kinds
2629import PureScript.TypeChecker.Monad
30+import PureScript.TypeChecker.Kinds
31+import PureScript.TypeChecker.Synonyms
2732
2833import Control.Monad.State
2934import Control.Monad.Error
@@ -51,10 +56,14 @@ typeOf name val = do
5156 return $ varIfUnknown $ fst (runTypeSolution solution) n
5257
5358varIfUnknown :: Type -> Type
54−varIfUnknown = flip evalState M.empty . varIfUnknown'
59+varIfUnknown ty =
60+ let
61+ (ty', m) = flip runState M.empty $ everywhereM (flip extM g $ mkM f) ty
62+ in
63+ ForAll (sort $ nub $ M.elems m) ty'
5564 where
56− varIfUnknown' :: Type -> State (M.Map Int String) Type
57− varIfUnknown' (TUnknown n) = do
65+ f :: Type -> State (M.Map Int String) Type
66+ f (TUnknown n) = do
5867 m <- get
5968 case M.lookup n m of
6069 Nothing -> do
@@ -62,13 +71,9 @@ varIfUnknown = flip evalState M.empty . varIfUnknown'
6271 put $ M.insert n name m
6372 return $ TypeVar name
6473 Just name -> return $ TypeVar name
65− varIfUnknown' (Array t) = Array <$> varIfUnknown' t
66− varIfUnknown' (Object row) = Object <$> varIfUnknown'' row
67− varIfUnknown' (Function args ret) = Function <$> mapM varIfUnknown' args <*> varIfUnknown' ret
68− varIfUnknown' (TypeApp t1 t2) = TypeApp <$> varIfUnknown' t1 <*> varIfUnknown' t2
69− varIfUnknown' t = return t
70− varIfUnknown'' :: Row -> State (M.Map Int String) Row
71− varIfUnknown'' (RUnknown n) = do
74+ f t = return t
75+ g :: Row -> State (M.Map Int String) Row
76+ g (RUnknown n) = do
7277 m <- get
7378 case M.lookup n m of
7479 Nothing -> do
@@ -76,18 +81,13 @@ varIfUnknown = flip evalState M.empty . varIfUnknown'
7681 put $ M.insert n name m
7782 return $ RowVar name
7883 Just name -> return $ RowVar name
79− varIfUnknown'' (RCons name ty row) = RCons name ty <$> varIfUnknown'' row
80− varIfUnknown'' r = return r
84+ g r = return r
8185
82−replaceVarsWithUnknowns :: Type -> Check Type
83−replaceVarsWithUnknowns = flip evalStateT M.empty . replaceVarsWithUnknowns'
86+replaceVarsWithUnknowns :: [String] -> Type -> Check Type
87+replaceVarsWithUnknowns idents = flip evalStateT M.empty . everywhereM (flip extM f $ mkM g)
8488 where
85− replaceVarsWithUnknowns' :: Type -> StateT (M.Map String Int) Check Type
86− replaceVarsWithUnknowns' (Array t) = Array <$> replaceVarsWithUnknowns' t
87− replaceVarsWithUnknowns' (Object row) = Object <$> replaceVarsWithUnknowns'' row
88− replaceVarsWithUnknowns' (Function args ret) = Function <$> mapM replaceVarsWithUnknowns' args <*> replaceVarsWithUnknowns' ret
89− replaceVarsWithUnknowns' (TypeApp t1 t2) = TypeApp <$> replaceVarsWithUnknowns' t1 <*> replaceVarsWithUnknowns' t2
90− replaceVarsWithUnknowns' (TypeVar var) = do
89+ f :: Type -> StateT (M.Map String Int) Check Type
90+ f (TypeVar var) | var `elem` idents = do
9191 m <- get
9292 n <- lift fresh
9393 case M.lookup var m of
@@ -95,9 +95,9 @@ replaceVarsWithUnknowns = flip evalStateT M.empty . replaceVarsWithUnknowns'
9595 put (M.insert var n m)
9696 return $ TUnknown n
9797 Just u -> return $ TUnknown u
98− replaceVarsWithUnknowns' t = return t
99− replaceVarsWithUnknowns'' :: Row -> StateT (M.Map String Int) Check Row
100− replaceVarsWithUnknowns'' (RowVar var) = do
98+ f t = return t
99+ g :: Row -> StateT (M.Map String Int) Check Row
100+ g (RowVar var) | var `elem` idents = do
101101 m <- get
102102 n <- lift fresh
103103 case M.lookup var m of
@@ -105,8 +105,35 @@ replaceVarsWithUnknowns = flip evalStateT M.empty . replaceVarsWithUnknowns'
105105 put (M.insert var n m)
106106 return $ RUnknown n
107107 Just u -> return $ RUnknown u
108− replaceVarsWithUnknowns'' (RCons name ty row) = RCons name <$> replaceVarsWithUnknowns' ty <*> replaceVarsWithUnknowns'' row
109− replaceVarsWithUnknowns'' r = return r
108+ g r = return r
109+
110+replaceType :: (Data d) => Int -> Type -> d -> d
111+replaceType n t = everywhere (mkT go)
112+ where
113+ go (TUnknown m) | m == n = t
114+ go t = t
115+
116+replaceRow :: (Data d) => Int -> Row -> d -> d
117+replaceRow n r = everywhere (mkT go)
118+ where
119+ go (RUnknown m) | m == n = r
120+ go r = r
121+
122+typeOccursCheck :: Int -> Type -> Check ()
123+typeOccursCheck u (TUnknown _) = return ()
124+typeOccursCheck u t = when (occursCheck u t) $ throwError $ "Occurs check failed: " ++ show u ++ " = " ++ show t
125+
126+rowOccursCheck :: Int -> Row -> Check ()
127+rowOccursCheck u (RUnknown _) = return ()
128+rowOccursCheck u r = when (occursCheck u r) $ throwError $ "Occurs check failed: " ++ show u ++ " = " ++ show r
129+
130+occursCheck :: (Data d) => Int -> d -> Bool
131+occursCheck u = everything (||) $ flip extQ g $ mkQ False f
132+ where
133+ f (TUnknown u') | u' == u = True
134+ f _ = False
135+ g (RUnknown u') | u' == u = True
136+ g _ = False
110137
111138typeConstraints :: M.Map String Int -> Value -> Check ([TypeConstraint], Int)
112139typeConstraints _ (NumericLiteral _) = do
@@ -169,10 +196,9 @@ typeConstraints m (Var var) =
169196 env <- getEnv
170197 case M.lookup var (names env) of
171198 Nothing -> throwError $ var ++ " is undefined"
172− Just ty -> do
199+ Just (ty, _) -> do
173200 me <- fresh
174− replaced <- replaceVarsWithUnknowns ty
175− return ([TypeConstraint me replaced], me)
201+ return ([TypeConstraint me ty], me)
176202 Just u -> do
177203 me <- fresh
178204 return ([TypeConstraint u (TUnknown me)], me)
@@ -185,19 +211,30 @@ typeConstraints m (Constructor c) = do
185211 env <- getEnv
186212 case M.lookup c (names env) of
187213 Nothing -> throwError $ c ++ " is undefined"
188− Just ty -> do
214+ Just (ty, _) -> do
189215 me <- fresh
190− replaced <- replaceVarsWithUnknowns ty
191− return ([TypeConstraint me replaced], me)
216+ return ([TypeConstraint me ty], me)
192217typeConstraints m (Case val binders) = do
193218 (cs1, n1) <- typeConstraints m val
194219 ret <- fresh
195220 cs2 <- typeConstraintsForBinders m n1 ret binders
196221 return (cs1 ++ cs2, ret)
197222typeConstraints m (TypedValue val ty) = do
223+ kind <- kindOf ty
224+ guardWith ("Expected type of kind *, was " ++ show kind) $ kind == Star
225+ ty' <- replaceAllTypeSynonyms ty
198226 (cs, n1) <- typeConstraints m val
199− return (TypeConstraint n1 ty : cs, n1)
200− -- TODO: Kind-check the type
227+ return (TypeConstraint n1 ty' : cs, n1)
228+
229+replaceAllTypeSynonyms :: Type -> Check Type
230+replaceAllTypeSynonyms ty = do
231+ env <- getEnv
232+ go (M.toList $ typeSynonyms env) ty
233+ where
234+ go [] ty = return ty
235+ go ((name, (args, repl)):rest) ty = do
236+ ty' <- either throwError return (substituteTypeSynonym name args repl ty)
237+ go rest ty'
201238
202239unaryOperatorConstraints :: UnaryOperator -> Int -> Int -> [TypeConstraint]
203240unaryOperatorConstraints Negate val result = [TypeConstraint val Number, TypeConstraint result Number]
@@ -245,18 +282,18 @@ typeConstraintsForBinder val (VarBinder name) = do
245282typeConstraintsForBinder val (NullaryBinder ctor) = do
246283 env <- getEnv
247284 case M.lookup ctor (names env) of
248− Just ret -> do
249− ret' <- replaceVarsWithUnknowns ret
285+ Just (ForAll args ret, DataConstructor) -> do
286+ ret' <- replaceVarsWithUnknowns args ret
250287 return ([TypeConstraint val ret'], M.empty)
251288 _ -> throwError $ "Constructor " ++ ctor ++ " is not defined"
252289typeConstraintsForBinder val (UnaryBinder ctor binder) = do
253290 env <- getEnv
254291 case M.lookup ctor (names env) of
255− Just f@(Function [ty] ret) -> do
292+ Just (ForAll args f@(Function [_] _), DataConstructor) -> do
256293 obj <- fresh
257− Function [ty'] ret' <- replaceVarsWithUnknowns f
294+ (Function [ty] ret) <- replaceVarsWithUnknowns args f
258295 (cs, m1) <- typeConstraintsForBinder obj binder
259− return ((TypeConstraint val ret') : (TypeConstraint obj ty') : cs, m1)
296+ return ((TypeConstraint val ret) : (TypeConstraint obj ty) : cs, m1)
260297 Just _ -> throwError $ ctor ++ " is not a unary constructor"
261298 _ -> throwError $ "Constructor " ++ ctor ++ " is not defined"
262299typeConstraintsForBinder val (ObjectBinder props) = do
@@ -361,64 +398,42 @@ typeConstraintsForBlock m mass ret (s:ss) = do
361398solveTypeConstraints :: [TypeConstraint] -> TypeSolution -> Check TypeSolution
362399solveTypeConstraints [] s = return s
363400solveTypeConstraints all@(TypeConstraint n t:cs) s = do
364− guardWith "Occurs check failed" $ not $ typeOccursCheck False n t
401+ typeOccursCheck n t
365402 let s' = let (f, g) = runTypeSolution s
366− in TypeSolution (replaceTypeInType n t . f, replaceTypeInRow n t . g)
403+ in TypeSolution (replaceType n t . f, replaceType n t . g)
367404 cs' <- fmap concat $ mapM (substituteTypeInConstraint n t) cs
368405 solveTypeConstraints cs' s'
369406solveTypeConstraints (RowConstraint n r:cs) s = do
370− guardWith "Occurs check failed" $ not $ rowOccursCheck False n r
407+ rowOccursCheck n r
371408 let s' = let (f, g) = runTypeSolution s
372− in TypeSolution $ (replaceRowInType n r . f, replaceRowInRow n r . g)
409+ in TypeSolution $ (replaceRow n r . f, replaceRow n r . g)
373410 cs' <- fmap concat $ mapM (substituteRowInConstraint n r) cs
374411 solveTypeConstraints cs' s'
375412
376413substituteTypeInConstraint :: Int -> Type -> TypeConstraint -> Check [TypeConstraint]
377414substituteTypeInConstraint n s (TypeConstraint m t)
378415 | n == m = unifyTypes s t
379− | otherwise = return [TypeConstraint m (replaceTypeInType n s t)]
416+ | otherwise = return [TypeConstraint m (replaceType n s t)]
380417substituteTypeInConstraint n s (RowConstraint m r)
381− = return [RowConstraint m (replaceTypeInRow n s r)]
418+ = return [RowConstraint m (replaceType n s r)]
382419
383420substituteRowInConstraint :: Int -> Row -> TypeConstraint -> Check [TypeConstraint]
384421substituteRowInConstraint n r (TypeConstraint m t)
385− = return [TypeConstraint m (replaceRowInType n r t)]
422+ = return [TypeConstraint m (replaceRow n r t)]
386423substituteRowInConstraint n r (RowConstraint m r1)
387424 | m == n = unifyRows r r1
388− | otherwise = return [RowConstraint m (replaceRowInRow n r r1)]
389−
390−replaceTypeInType :: Int -> Type -> Type -> Type
391−replaceTypeInType n t (TUnknown m) | m == n = t
392−replaceTypeInType n t (Array t1) = Array $ replaceTypeInType n t t1
393−replaceTypeInType n t (Object row) = Object $ replaceTypeInRow n t row
394−replaceTypeInType n t (Function args ret) = Function (map (replaceTypeInType n t) args) (replaceTypeInType n t ret)
395−replaceTypeInType n t (TypeApp t1 t2) = TypeApp (replaceTypeInType n t t1) (replaceTypeInType n t t2)
396−replaceTypeInType _ _ other = other
397−
398−replaceTypeInRow :: Int -> Type -> Row -> Row
399−replaceTypeInRow n t (RCons name ty row) = RCons name (replaceTypeInType n t ty) (replaceTypeInRow n t row)
400−replaceTypeInRow n t other = other
401−
402−replaceRowInType :: Int -> Row -> Type -> Type
403−replaceRowInType n r (Array t1) = Array $ replaceRowInType n r t1
404−replaceRowInType n r (Object row) = Object $ replaceRowInRow n r row
405−replaceRowInType n r (Function args ret) = Function (map (replaceRowInType n r) args) (replaceRowInType n r ret)
406−replaceRowInType n r (TypeApp t1 t2) = TypeApp (replaceRowInType n r t1) (replaceRowInType n r t2)
407−replaceRowInType _ _ other = other
408−
409−replaceRowInRow :: Int -> Row -> Row -> Row
410−replaceRowInRow n r (RUnknown m) | m == n = r
411−replaceRowInRow n r (RCons name ty row) = RCons name (replaceRowInType n r ty) (replaceRowInRow n r row)
412−replaceRowInRow _ _ other = other
425+ | otherwise = return [RowConstraint m (replaceRow n r r1)]
413426
414427unifyTypes :: Type -> Type -> Check [TypeConstraint]
415428unifyTypes (TUnknown u1) (TUnknown u2) | u1 == u2 = return []
416429unifyTypes (TUnknown u) t = do
417− guardWith "Occurs check failed" $ not $ typeOccursCheck False u t
430+ typeOccursCheck u t
418431 return [TypeConstraint u t]
419432unifyTypes t (TUnknown u) = do
420− guardWith "Occurs check failed" $ not $ typeOccursCheck False u t
433+ typeOccursCheck u t
421434 return [TypeConstraint u t]
435+unifyTypes (ForAll idents t1) t2 = join $ flip unifyTypes t2 <$> replaceVarsWithUnknowns idents t1
436+unifyTypes t1 (ForAll idents t2) = join $ unifyTypes t1 <$> replaceVarsWithUnknowns idents t2
422437unifyTypes Number Number = return []
423438unifyTypes String String = return []
424439unifyTypes Boolean Boolean = return []
@@ -446,14 +461,14 @@ unifyRows r1 r2 =
446461 int = [ (t1, t2) | (name, t1) <- s1, (name', t2) <- s2, name == name' ]
447462 sd1 = [ (name, t1) | (name, t1) <- s1, not (elem name (map fst s2)) ]
448463 sd2 = [ (name, t2) | (name, t2) <- s2, not (elem name (map fst s1)) ]
449− in rethrow (const $ "Cannot unify " ++ show r1 ++ " with " ++ show r2) $ do
464+ in rethrow (\e -> "Cannot unify " ++ show r1 ++ " with " ++ show r2 ++ ": " ++ e) $ do
450465 cs1 <- fmap concat $ mapM (uncurry unifyTypes) int
451466 cs2 <- unifyRows' sd1 r1' sd2 r2'
452467 return $ cs1 ++ cs2
453468 where
454469 unifyRows' :: [(String, Type)] -> Row -> [(String, Type)] -> Row -> Check [TypeConstraint]
455470 unifyRows' [] (RUnknown u) sd r = do
456− guardWith "Occurs check failed" $ not $ rowOccursCheck False u r
471+ rowOccursCheck u r
457472 return [RowConstraint u (fromList (sd, r))]
458473 unifyRows' ((name, ty):row) r others (RUnknown u) = do
459474 u' <- fresh
@@ -468,16 +483,3 @@ unifyRows r1 r2 =
468483 fromList :: ([(String, Type)], Row) -> Row
469484 fromList ([], r) = r
470485 fromList ((name, t):ts, r) = RCons name t (fromList (ts, r))
471−
472−typeOccursCheck :: Bool -> Int -> Type -> Bool
473−typeOccursCheck b u (TUnknown u') | u == u' = b
474−typeOccursCheck _ u (Array t) = typeOccursCheck True u t
475−typeOccursCheck _ u (Object row) = rowOccursCheck True u row
476−typeOccursCheck _ u (Function args ret) = any (typeOccursCheck True u) args || typeOccursCheck True u ret
477−typeOccursCheck _ u (TypeApp s t) = typeOccursCheck True u s || typeOccursCheck True u t
478−typeOccursCheck _ _ _ = False
479−
480−rowOccursCheck :: Bool -> Int -> Row -> Bool
481−rowOccursCheck b u (RUnknown u') | u == u' = b
482−rowOccursCheck _ u (RCons name ty row) = typeOccursCheck True u ty || rowOccursCheck True u row
483−rowOccursCheck _ _ _ = False