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1+-----------------------------------------------------------------------------
2+--
3+-- Module : Language.PureScript.TypeChecker.Types
4+-- Copyright : (c) Phil Freeman 2013
5+-- License : MIT
6+--
7+-- Maintainer : Phil Freeman <paf31@cantab.net>
8+-- Stability : experimental
9+-- Portability :
10+--
11+-- |
12+--
13+-----------------------------------------------------------------------------
14+
15+{-# LANGUAGE DeriveDataTypeable #-}
16+
17+module Language.PureScript.TypeChecker.Types (
18+ typeOf
19+) where
20+
21+import Data.List
22+import Data.Maybe (isJust, fromMaybe)
23+import Data.Function
24+import qualified Data.Data as D
25+import Data.Generics (everywhere, everywhereM, everything, mkT, mkM, mkQ, extM, extQ)
26+
27+import Language.PureScript.Values
28+import Language.PureScript.Types
29+import Language.PureScript.Kinds
30+import Language.PureScript.Names
31+import Language.PureScript.TypeChecker.Monad
32+import Language.PureScript.TypeChecker.Kinds
33+import Language.PureScript.TypeChecker.Synonyms
34+import Language.PureScript.Pretty
35+import Language.PureScript.Unknown
36+
37+import Control.Monad.State
38+import Control.Monad.Error
39+
40+import Control.Applicative
41+import Control.Arrow (Arrow(..), Kleisli(..), (***), (&&&), second)
42+import qualified Control.Category as C
43+
44+import qualified Data.Map as M
45+
46+instance Unifiable Type where
47+ unknown = TUnknown
48+ isUnknown (TUnknown u) = Just u
49+ isUnknown _ = Nothing
50+ TUnknown u1 ~~ TUnknown u2 | u1 == u2 = return ()
51+ TUnknown u ~~ t = replace u t
52+ t ~~ TUnknown u = replace u t
53+ SaturatedTypeSynonym name1 args1 ~~ SaturatedTypeSynonym name2 args2 | name1 == name2 =
54+ zipWithM_ (~~) args1 args2
55+ SaturatedTypeSynonym name args ~~ ty = do
56+ env <- lift getEnv
57+ modulePath <- checkModulePath `fmap` lift get
58+ case M.lookup (qualify modulePath name) (typeSynonyms env) of
59+ Just (synArgs, body) -> do
60+ let m = M.fromList $ zip synArgs args
61+ let replaced = replaceTypeVars m body
62+ replaced ~~ ty
63+ Nothing -> error "Type synonym was not defined"
64+ ty ~~ s@(SaturatedTypeSynonym _ _) = s ~~ ty
65+ ForAll ident1 ty1 ~~ ForAll ident2 ty2 = do
66+ sk <- skolemize ident1 ty1
67+ replaced <- replaceVarsWithUnknowns [ident2] ty2
68+ sk ~~ replaced
69+ ForAll ident ty1 ~~ ty2 = do
70+ sk <- skolemize ident ty1
71+ sk ~~ ty2
72+ ty ~~ f@(ForAll _ _) = f ~~ ty
73+ Number ~~ Number = return ()
74+ String ~~ String = return ()
75+ Boolean ~~ Boolean = return ()
76+ Array s ~~ Array t = s ~~ t
77+ Object row1 ~~ Object row2 = row1 ~~ row2
78+ Function args1 ret1 ~~ Function args2 ret2 = do
79+ guardWith "Function applied to incorrect number of args" $ length args1 == length args2
80+ zipWithM_ (~~) args1 args2
81+ ret1 ~~ ret2
82+ TypeVar v1 ~~ TypeVar v2 | v1 == v2 = return ()
83+ TypeConstructor c1 ~~ TypeConstructor c2 = do
84+ modulePath <- checkModulePath `fmap` lift get
85+ guardWith ("Cannot unify " ++ show c1 ++ " with " ++ show c2 ++ ".") (qualify modulePath c1 == qualify modulePath c2)
86+ TypeApp t1 t2 ~~ TypeApp t3 t4 = do
87+ t1 ~~ t3
88+ t2 ~~ t4
89+ Skolem s1 ~~ Skolem s2 | s1 == s2 = return ()
90+ t1 ~~ t2 = throwError $ "Cannot unify " ++ prettyPrintType t1 ++ " with " ++ prettyPrintType t2 ++ "."
91+ apply s (TUnknown u) = runSubstitution s u
92+ apply s (SaturatedTypeSynonym name tys) = SaturatedTypeSynonym name $ map (apply s) tys
93+ apply s (ForAll idents ty) = ForAll idents $ apply s ty
94+ apply s (Array t) = Array (apply s t)
95+ apply s (Object r) = Object (apply s r)
96+ apply s (Function args ret) = Function (map (apply s) args) (apply s ret)
97+ apply s (TypeApp t1 t2) = TypeApp (apply s t1) (apply s t2)
98+ apply _ t = t
99+ unknowns (TUnknown (Unknown u)) = [u]
100+ unknowns (SaturatedTypeSynonym _ tys) = concatMap unknowns tys
101+ unknowns (ForAll idents ty) = unknowns ty
102+ unknowns (Array t) = unknowns t
103+ unknowns (Object r) = unknowns r
104+ unknowns (Function args ret) = concatMap unknowns args ++ unknowns ret
105+ unknowns (TypeApp t1 t2) = unknowns t1 ++ unknowns t2
106+ unknowns _ = []
107+
108+instance Unifiable Row where
109+ unknown = RUnknown
110+ isUnknown (RUnknown u) = Just u
111+ isUnknown _ = Nothing
112+ r1 ~~ r2 =
113+ let
114+ (s1, r1') = rowToList r1
115+ (s2, r2') = rowToList r2
116+ int = [ (t1, t2) | (name, t1) <- s1, (name', t2) <- s2, name == name' ]
117+ sd1 = [ (name, t1) | (name, t1) <- s1, name `notElem` map fst s2 ]
118+ sd2 = [ (name, t2) | (name, t2) <- s2, name `notElem` map fst s1 ]
119+ in do
120+ forM_ int (uncurry (~~))
121+ unifyRows sd1 r1' sd2 r2'
122+ where
123+ unifyRows :: [(String, Type)] -> Row -> [(String, Type)] -> Row -> Subst Check ()
124+ unifyRows [] (RUnknown u) sd r = replace u (rowFromList (sd, r))
125+ unifyRows sd r [] (RUnknown u) = replace u (rowFromList (sd, r))
126+ unifyRows ns@((name, ty):row) r others u@(RUnknown un) = do
127+ occursCheck un ty
128+ forM row $ \(_, ty) -> occursCheck un ty
129+ u' <- fresh
130+ u ~~ RCons name ty u'
131+ unifyRows row r others u'
132+ unifyRows [] REmpty [] REmpty = return ()
133+ unifyRows [] (RowVar v1) [] (RowVar v2) | v1 == v2 = return ()
134+ unifyRows [] (RSkolem s1) [] (RSkolem s2) | s1 == s2 = return ()
135+ unifyRows sd1 r1 sd2 r2 = throwError $ "Cannot unify " ++ prettyPrintRow (rowFromList (sd1, r1)) ++ " with " ++ prettyPrintRow (rowFromList (sd2, r2)) ++ "."
136+ apply s (RUnknown u) = runSubstitution s u
137+ apply s (RCons name ty r) = RCons name (apply s ty) (apply s r)
138+ apply _ r = r
139+ unknowns (RUnknown (Unknown u)) = [u]
140+ unknowns (RCons _ ty r) = unknowns ty ++ unknowns r
141+ unknowns _ = []
142+
143+isFunction :: Value -> Bool
144+isFunction (Abs _ _) = True
145+isFunction (TypedValue untyped _) = isFunction untyped
146+isFunction _ = False
147+
148+typeOf :: Maybe Ident -> Value -> Check Type
149+typeOf name val = do
150+ (ty, sub, checks) <- runSubst $ case name of
151+ Just ident | isFunction val ->
152+ do me <- fresh
153+ ty <- infer (M.singleton ident me) val
154+ me ~~ ty
155+ return ty
156+ _ -> infer M.empty val
157+ escapeCheck checks ty sub
158+ return $ varIfUnknown $ desaturateAllTypeSynonyms $ setifyAll ty
159+
160+escapeCheck :: [AnyUnifiable] -> Type -> Substitution -> Check ()
161+escapeCheck checks ty sub =
162+ let
163+ visibleUnknowns = nub $ unknowns ty
164+ in
165+ forM_ checks $ \check -> case check of
166+ AnyUnifiable t -> do
167+ let unsolvedUnknowns = nub . unknowns $ apply sub t
168+ guardWith "Escape check fails" $ null $ unsolvedUnknowns \\ visibleUnknowns
169+
170+setify :: Row -> Row
171+setify = rowFromList . first (M.toList . M.fromList) . rowToList
172+
173+setifyAll :: (D.Data d) => d -> d
174+setifyAll = everywhere (mkT setify)
175+
176+findTypeVars :: (D.Data d) => d -> [String]
177+findTypeVars = everything (++) (mkQ [] f)
178+ where
179+ f :: Type -> [String]
180+ f (TypeVar v) = [v]
181+ f _ = []
182+
183+varIfUnknown :: Type -> Type
184+varIfUnknown ty =
185+ let
186+ (ty', m) = flip runState M.empty $ everywhereM (flip extM g $ mkM f) ty
187+ in
188+ mkForAll (sort $ nub $ M.elems m ++ findTypeVars ty) ty'
189+ where
190+ f :: Type -> State (M.Map Int String) Type
191+ f (TUnknown (Unknown n)) = do
192+ m <- get
193+ case M.lookup n m of
194+ Nothing -> do
195+ let name = 't' : show (M.size m)
196+ put $ M.insert n name m
197+ return $ TypeVar name
198+ Just name -> return $ TypeVar name
199+ f t = return t
200+ g :: Row -> State (M.Map Int String) Row
201+ g (RUnknown (Unknown n)) = do
202+ m <- get
203+ case M.lookup n m of
204+ Nothing -> do
205+ let name = 'r' : show (M.size m)
206+ put $ M.insert n name m
207+ return $ RowVar name
208+ Just name -> return $ RowVar name
209+ g r = return r
210+
211+replaceTypeVars :: M.Map String Type -> Type -> Type
212+replaceTypeVars m = everywhere (mkT replace)
213+ where
214+ replace (TypeVar v) = case M.lookup v m of
215+ Just ty -> ty
216+ _ -> TypeVar v
217+ replace t = t
218+
219+replaceRowVars :: M.Map String Row -> Type -> Type
220+replaceRowVars m = everywhere (mkT replace)
221+ where
222+ replace (RowVar v) = case M.lookup v m of
223+ Just r -> r
224+ _ -> RowVar v
225+ replace t = t
226+
227+replaceVarsWithUnknowns :: [String] -> Type -> Subst Check Type
228+replaceVarsWithUnknowns idents = flip evalStateT M.empty . everywhereM (flip extM f $ mkM g)
229+ where
230+ f :: Type -> StateT (M.Map String Int) (Subst Check) Type
231+ f (TypeVar var) | var `elem` idents = do
232+ m <- get
233+ n <- lift fresh'
234+ case M.lookup var m of
235+ Nothing -> do
236+ put (M.insert var n m)
237+ return $ TUnknown (Unknown n)
238+ Just u -> return $ TUnknown (Unknown u)
239+ f t = return t
240+ g :: Row -> StateT (M.Map String Int) (Subst Check) Row
241+ g (RowVar var) | var `elem` idents = do
242+ m <- get
243+ n <- lift fresh'
244+ case M.lookup var m of
245+ Nothing -> do
246+ put (M.insert var n m)
247+ return $ RUnknown (Unknown n)
248+ Just u -> return $ RUnknown (Unknown u)
249+ g r = return r
250+
251+replaceAllTypeSynonyms :: (D.Data d) => d -> Check d
252+replaceAllTypeSynonyms d = do
253+ env <- getEnv
254+ let syns = map (\((path, name), (args, _)) -> (Qualified path name, length args)) . M.toList $ typeSynonyms env
255+ either throwError return $ saturateAllTypeSynonyms syns d
256+
257+desaturateAllTypeSynonyms :: (D.Data d) => d -> d
258+desaturateAllTypeSynonyms = everywhere (mkT replace)
259+ where
260+ replace (SaturatedTypeSynonym name args) = foldl TypeApp (TypeConstructor name) args
261+ replace t = t
262+
263+ensureNoDuplicateProperties :: [(String, Value)] -> Check ()
264+ensureNoDuplicateProperties ps = guardWith "Duplicate property names" $ length (nub . map fst $ ps) == length ps
265+
266+infer :: M.Map Ident Type -> Value -> Subst Check Type
267+infer m val = rethrow (\e -> "Error inferring type of term " ++ prettyPrintValue val ++ ":\n" ++ e) $ do
268+ ty <- infer' m val
269+ escapeCheckLater ty
270+ return ty
271+
272+infer' _ (NumericLiteral _) = return Number
273+infer' _ (StringLiteral _) = return String
274+infer' _ (BooleanLiteral _) = return Boolean
275+infer' m (ArrayLiteral vals) = do
276+ ts <- mapM (infer m) vals
277+ arr <- fresh
278+ forM_ ts $ \t -> arr ~~ Array t
279+ return arr
280+infer' m (Unary op val) = do
281+ t <- infer m val
282+ inferUnary op t
283+infer' m (Binary op left right) = do
284+ t1 <- infer m left
285+ t2 <- infer m right
286+ inferBinary op t1 t2
287+infer' m (ObjectLiteral ps) = do
288+ lift $ ensureNoDuplicateProperties ps
289+ ts <- mapM (infer m . snd) ps
290+ let fields = zipWith (\(name, _) t -> (name, t)) ps ts
291+ return $ Object $ typesToRow fields
292+infer' m (ObjectUpdate o ps) = do
293+ lift $ ensureNoDuplicateProperties ps
294+ obj <- infer m o
295+ row <- fresh
296+ ts <- mapM (infer m . snd) ps
297+ let tys = zipWith (\(name, _) t -> (name, t)) ps ts
298+ obj ~~ Object (rowFromList (tys, row))
299+ return obj
300+infer' m (Indexer index val) = do
301+ el <- fresh
302+ check m index Number
303+ check m val (Array el)
304+ return el
305+infer' m (Accessor prop val) = do
306+ field <- fresh
307+ rest <- fresh
308+ check m val (Object (RCons prop field rest))
309+ return field
310+infer' m (Abs args ret) = do
311+ ts <- replicateM (length args) fresh
312+ let m' = m `M.union` M.fromList (zip args ts)
313+ body <- infer m' ret
314+ return $ Function ts body
315+infer' m (App f xs) = do
316+ t1 <- infer m f
317+ ret <- fresh
318+ checkFunctionApplication m t1 xs ret
319+ return ret
320+infer' m (Var var@(Qualified mp name)) = do
321+ case mp of
322+ ModulePath [] ->
323+ case M.lookup name m of
324+ Just ty -> lift $ replaceAllTypeSynonyms ty
325+ Nothing -> lookupGlobal
326+ _ -> lookupGlobal
327+ where
328+ lookupGlobal = do
329+ env <- lift getEnv
330+ modulePath <- checkModulePath `fmap` lift get
331+ case M.lookup (qualify modulePath var) (names env) of
332+ Nothing -> throwError $ show var ++ " is undefined"
333+ Just (ty, _) -> lift $ replaceAllTypeSynonyms ty
334+infer' m (Block ss) = do
335+ ret <- fresh
336+ (allCodePathsReturn, _) <- checkBlock m M.empty ret ss
337+ guardWith "Block is missing a return statement" allCodePathsReturn
338+ return ret
339+infer' m (Constructor c) = do
340+ env <- lift getEnv
341+ modulePath <- checkModulePath `fmap` lift get
342+ case M.lookup (qualify modulePath c) (dataConstructors env) of
343+ Nothing -> throwError $ "Constructor " ++ show c ++ " is undefined"
344+ Just ty -> lift $ replaceAllTypeSynonyms ty
345+infer' m (Case val binders) = do
346+ t1 <- infer m val
347+ ret <- fresh
348+ checkBinders m t1 ret binders
349+ return ret
350+infer' m (IfThenElse cond th el) = do
351+ check m cond Boolean
352+ t2 <- infer m th
353+ t3 <- infer m el
354+ t2 ~~ t3
355+ return t2
356+infer' m (TypedValue val ty) = do
357+ kind <- lift $ kindOf ty
358+ guardWith ("Expected type of kind *, was " ++ prettyPrintKind kind) $ kind == Star
359+ ty' <- lift $ replaceAllTypeSynonyms ty
360+ check m val ty'
361+ return ty'
362+
363+inferUnary :: UnaryOperator -> Type -> Subst Check Type
364+inferUnary op val =
365+ case fromMaybe (error "Invalid operator") $ lookup op unaryOps of
366+ (valTy, resTy) -> do
367+ val ~~ valTy
368+ return resTy
369+
370+checkUnary :: M.Map Ident Type -> UnaryOperator -> Value -> Type -> Subst Check ()
371+checkUnary m op val res =
372+ case fromMaybe (error "Invalid operator") $ lookup op unaryOps of
373+ (valTy, resTy) -> do
374+ res ~~ resTy
375+ check m val valTy
376+
377+unaryOps :: [(UnaryOperator, (Type, Type))]
378+unaryOps = [ (Negate, (Number, Number))
379+ , (Not, (Boolean, Boolean))
380+ , (BitwiseNot, (Number, Number))
381+ ]
382+
383+inferBinary :: BinaryOperator -> Type -> Type -> Subst Check Type
384+inferBinary op left right | isEqualityTest op = do
385+ left ~~ right
386+ return Boolean
387+inferBinary op left right =
388+ case fromMaybe (error "Invalid operator") $ lookup op binaryOps of
389+ (valTy, resTy) -> do
390+ left ~~ valTy
391+ right ~~ valTy
392+ return resTy
393+
394+checkBinary :: M.Map Ident Type -> BinaryOperator -> Value -> Value -> Type -> Subst Check ()
395+checkBinary m op left right res | isEqualityTest op = do
396+ res ~~ Boolean
397+ t1 <- infer m left
398+ t2 <- infer m right
399+ t1 ~~ t2
400+checkBinary m op left right res =
401+ case fromMaybe (error "Invalid operator") $ lookup op binaryOps of
402+ (valTy, resTy) -> do
403+ res ~~ resTy
404+ check m left valTy
405+ check m right valTy
406+
407+isEqualityTest :: BinaryOperator -> Bool
408+isEqualityTest EqualTo = True
409+isEqualityTest NotEqualTo = True
410+isEqualityTest _ = False
411+
412+binaryOps :: [(BinaryOperator, (Type, Type))]
413+binaryOps = [ (Add, (Number, Number))
414+ , (Subtract, (Number, Number))
415+ , (Multiply, (Number, Number))
416+ , (Divide, (Number, Number))
417+ , (Modulus, (Number, Number))
418+ , (BitwiseAnd, (Number, Number))
419+ , (BitwiseOr, (Number, Number))
420+ , (BitwiseXor, (Number, Number))
421+ , (ShiftRight, (Number, Number))
422+ , (ZeroFillShiftRight, (Number, Number))
423+ , (And, (Boolean, Boolean))
424+ , (Or, (Boolean, Boolean))
425+ , (Concat, (String, String))
426+ , (Modulus, (Number, Number))
427+ , (LessThan, (Number, Boolean))
428+ , (LessThanOrEqualTo, (Number, Boolean))
429+ , (GreaterThan, (Number, Boolean))
430+ , (GreaterThanOrEqualTo, (Number, Boolean))
431+ ]
432+
433+inferBinder :: Type -> Binder -> Subst Check (M.Map Ident Type)
434+inferBinder _ NullBinder = return M.empty
435+inferBinder val (StringBinder _) = val ~~ String >> return M.empty
436+inferBinder val (NumberBinder _) = val ~~ Number >> return M.empty
437+inferBinder val (BooleanBinder _) = val ~~ Boolean >> return M.empty
438+inferBinder val (VarBinder name) = return $ M.singleton name val
439+inferBinder val (NullaryBinder ctor) = do
440+ env <- lift getEnv
441+ modulePath <- checkModulePath `fmap` lift get
442+ case M.lookup (qualify modulePath ctor) (dataConstructors env) of
443+ Just ty -> do
444+ ty `subsumes` val
445+ return M.empty
446+ _ -> throwError $ "Constructor " ++ show ctor ++ " is not defined"
447+inferBinder val (UnaryBinder ctor binder) = do
448+ env <- lift getEnv
449+ modulePath <- checkModulePath `fmap` lift get
450+ case M.lookup (qualify modulePath ctor) (dataConstructors env) of
451+ Just ty -> do
452+ obj <- fresh
453+ ty `subsumes` (Function [obj] val)
454+ inferBinder obj binder
455+ _ -> throwError $ "Constructor " ++ show ctor ++ " is not defined"
456+inferBinder val (ObjectBinder props) = do
457+ row <- fresh
458+ rest <- fresh
459+ m1 <- inferRowProperties row rest props
460+ val ~~ Object row
461+ return m1
462+ where
463+ inferRowProperties :: Row -> Row -> [(String, Binder)] -> Subst Check (M.Map Ident Type)
464+ inferRowProperties nrow row [] = nrow ~~ row >> return M.empty
465+ inferRowProperties nrow row ((name, binder):binders) = do
466+ propTy <- fresh
467+ m1 <- inferBinder propTy binder
468+ m2 <- inferRowProperties nrow (RCons name propTy row) binders
469+ return $ m1 `M.union` m2
470+inferBinder val (ArrayBinder binders rest) = do
471+ el <- fresh
472+ m1 <- M.unions <$> mapM (inferBinder el) binders
473+ val ~~ Array el
474+ case rest of
475+ Nothing -> return m1
476+ Just binder -> do
477+ m2 <- inferBinder val binder
478+ return $ m1 `M.union` m2
479+inferBinder val (NamedBinder name binder) = do
480+ m <- inferBinder val binder
481+ return $ M.insert name val m
482+
483+inferGuardedBinder :: M.Map Ident Type -> Type -> Binder -> Subst Check (M.Map Ident Type)
484+inferGuardedBinder m val (GuardedBinder cond binder) = do
485+ m1 <- inferBinder val binder
486+ ty <- infer (m `M.union` m1) cond
487+ ty ~~ Boolean
488+ return m1
489+inferGuardedBinder m val b = inferBinder val b >>= return
490+
491+checkBinders :: M.Map Ident Type -> Type -> Type -> [(Binder, Value)] -> Subst Check ()
492+checkBinders _ _ _ [] = return ()
493+checkBinders m nval ret ((binder, val):bs) = do
494+ m1 <- inferGuardedBinder m nval binder
495+ check (m `M.union` m1) val ret
496+ checkBinders m nval ret bs
497+
498+assignVariable :: Ident -> M.Map Ident Type -> Subst Check ()
499+assignVariable name m =
500+ case M.lookup name m of
501+ Nothing -> return ()
502+ Just _ -> throwError $ "Variable with name " ++ show name ++ " already exists."
503+
504+checkStatement :: M.Map Ident Type -> M.Map Ident Type -> Type -> Statement -> Subst Check (Bool, M.Map Ident Type)
505+checkStatement m mass ret (VariableIntroduction name val) = do
506+ assignVariable name (m `M.union` mass)
507+ t <- infer m val
508+ return (False, M.insert name t mass)
509+checkStatement m mass ret (Assignment ident val) = do
510+ t <- infer m val
511+ case M.lookup ident mass of
512+ Nothing -> throwError $ "No local variable with name " ++ show ident
513+ Just ty -> do t ~~ ty
514+ return (False, mass)
515+checkStatement m mass ret (While val inner) = do
516+ check m val Boolean
517+ (allCodePathsReturn, _) <- checkBlock m mass ret inner
518+ return (allCodePathsReturn, mass)
519+checkStatement m mass ret (If ifst) = do
520+ allCodePathsReturn <- checkIfStatement m mass ret ifst
521+ return (allCodePathsReturn, mass)
522+checkStatement m mass ret (For ident start end inner) = do
523+ assignVariable ident (m `M.union` mass)
524+ check (m `M.union` mass) start Number
525+ check (m `M.union` mass) end Number
526+ let mass1 = M.insert ident Number mass
527+ (allCodePathsReturn, _) <- checkBlock (m `M.union` mass1) mass1 ret inner
528+ return (allCodePathsReturn, mass)
529+checkStatement m mass ret (ForEach ident vals inner) = do
530+ assignVariable ident (m `M.union` mass)
531+ val <- fresh
532+ check (m `M.union` mass) vals (Array val)
533+ let mass1 = M.insert ident val mass
534+ (allCodePathsReturn, _) <- checkBlock (m `M.union` mass1) mass1 ret inner
535+ guardWith "Cannot return from within a foreach block" $ not allCodePathsReturn
536+ return (False, mass)
537+checkStatement m mass ret (Return val) = do
538+ check (m `M.union` mass) val ret
539+ return (True, mass)
540+
541+checkIfStatement :: M.Map Ident Type -> M.Map Ident Type -> Type -> IfStatement -> Subst Check Bool
542+checkIfStatement m mass ret (IfStatement val thens Nothing) = do
543+ check m val Boolean
544+ _ <- checkBlock m mass ret thens
545+ return False
546+checkIfStatement m mass ret (IfStatement val thens (Just elses)) = do
547+ check m val Boolean
548+ (allCodePathsReturn1, _) <- checkBlock m mass ret thens
549+ allCodePathsReturn2 <- checkElseStatement m mass ret elses
550+ return $ allCodePathsReturn1 && allCodePathsReturn2
551+
552+checkElseStatement :: M.Map Ident Type -> M.Map Ident Type -> Type -> ElseStatement -> Subst Check Bool
553+checkElseStatement m mass ret (Else elses) = fst <$> checkBlock m mass ret elses
554+checkElseStatement m mass ret (ElseIf ifst) = checkIfStatement m mass ret ifst
555+
556+checkBlock :: M.Map Ident Type -> M.Map Ident Type -> Type -> [Statement] -> Subst Check (Bool, M.Map Ident Type)
557+checkBlock _ mass _ [] = return (False, mass)
558+checkBlock m mass ret (s:ss) = do
559+ (b1, mass1) <- checkStatement (m `M.union` mass) mass ret s
560+ case (b1, ss) of
561+ (True, []) -> return (True, mass1)
562+ (True, _) -> throwError "Unreachable code"
563+ (False, ss) -> do
564+ (b2, mass2) <- checkBlock m mass1 ret ss
565+ return (b2, mass2)
566+
567+skolemize :: String -> Type -> Subst Check Type
568+skolemize ident ty = do
569+ tsk <- Skolem <$> fresh'
570+ rsk <- RSkolem <$> fresh'
571+ return $ replaceRowVars (M.singleton ident rsk) $ replaceTypeVars (M.singleton ident tsk) ty
572+
573+check :: M.Map Ident Type -> Value -> Type -> Subst Check ()
574+check m val ty = rethrow errorMessage $ check' m val ty
575+ where
576+ errorMessage msg =
577+ "Error checking type of term " ++
578+ prettyPrintValue val ++
579+ " against type " ++
580+ prettyPrintType ty ++
581+ ":\n" ++
582+ msg
583+
584+check' :: M.Map Ident Type -> Value -> Type -> Subst Check ()
585+check' m val (ForAll idents ty) = do
586+ sk <- skolemize idents ty
587+ check m val sk
588+check' m val (SaturatedTypeSynonym name args) = do
589+ env <- lift getEnv
590+ modulePath <- checkModulePath `fmap` lift get
591+ case M.lookup (qualify modulePath name) (typeSynonyms env) of
592+ Just (synArgs, body) -> do
593+ let replaced = replaceTypeVars (M.fromList (zip synArgs args)) body
594+ check m val replaced
595+ Nothing -> error "Type synonym was not defined"
596+check' m val u@(TUnknown _) = do
597+ ty <- infer m val
598+ ty ~~ u
599+check' m (NumericLiteral _) Number = return ()
600+check' m (StringLiteral _) String = return ()
601+check' m (BooleanLiteral _) Boolean = return ()
602+check' m (Unary op val) ty = checkUnary m op val ty
603+check' m (Binary op left right) ty = checkBinary m op left right ty
604+check' m (ArrayLiteral vals) (Array ty) = forM_ vals (\val -> check m val ty)
605+check' m (Indexer index vals) ty = check m index Number >> check m vals (Array ty)
606+check' m (Abs args ret) (Function argTys retTy) = do
607+ guardWith "Incorrect number of function arguments" (length args == length argTys)
608+ let bindings = M.fromList (zip args argTys)
609+ check (bindings `M.union` m) ret retTy
610+check' m (App f xs) ret = do
611+ ft <- infer m f
612+ checkFunctionApplication m ft xs ret
613+check' m v@(Var var@(Qualified mp name)) ty = do
614+ case mp of
615+ ModulePath [] ->
616+ case M.lookup name m of
617+ Just ty1 -> do
618+ repl <- lift $ replaceAllTypeSynonyms ty1
619+ repl `subsumes` ty
620+ Nothing -> lookupGlobal
621+ _ -> lookupGlobal
622+ where
623+ lookupGlobal = do
624+ env <- lift getEnv
625+ modulePath <- checkModulePath `fmap` lift get
626+ case M.lookup (qualify modulePath var) (names env) of
627+ Nothing -> throwError $ show var ++ " is undefined"
628+ Just (ty1, _) -> do
629+ repl <- lift $ replaceAllTypeSynonyms ty1
630+ repl `subsumes` ty
631+check' m (TypedValue val ty1) ty2 = do
632+ kind <- lift $ kindOf ty1
633+ guardWith ("Expected type of kind *, was " ++ prettyPrintKind kind) $ kind == Star
634+ ty1 `subsumes` ty2
635+ check m val ty1
636+check' m (Case val binders) ret = do
637+ t1 <- infer m val
638+ checkBinders m t1 ret binders
639+check' m (IfThenElse cond th el) ty = do
640+ check m cond Boolean
641+ check m th ty
642+ check m el ty
643+check' m (ObjectLiteral ps) (Object row) = do
644+ lift $ ensureNoDuplicateProperties ps
645+ checkProperties m ps row False
646+check' m (ObjectUpdate obj ps) objTy@(Object row) = do
647+ lift $ ensureNoDuplicateProperties ps
648+ check m obj objTy
649+ checkProperties m ps row True
650+check' m (Accessor prop val) ty = do
651+ rest <- fresh
652+ check m val (Object (RCons prop ty rest))
653+check' m (Block ss) ret = do
654+ (allCodePathsReturn, _) <- checkBlock m M.empty ret ss
655+ guardWith "Block is missing a return statement" allCodePathsReturn
656+check' m (Constructor c) ty = do
657+ env <- lift getEnv
658+ modulePath <- checkModulePath `fmap` lift get
659+ case M.lookup (qualify modulePath c) (dataConstructors env) of
660+ Nothing -> throwError $ "Constructor " ++ show c ++ " is undefined"
661+ Just ty1 -> do
662+ repl <- lift $ replaceAllTypeSynonyms ty1
663+ repl `subsumes` ty
664+check' _ val ty = throwError $ prettyPrintValue val ++ " does not have type " ++ prettyPrintType ty
665+
666+checkProperties :: M.Map Ident Type -> [(String, Value)] -> Row -> Bool -> Subst Check ()
667+checkProperties m ps row lax = let (ts, r') = rowToList row in go ps ts r' where
668+ go [] [] REmpty = return ()
669+ go [] [] u@(RUnknown _) = u ~~ REmpty
670+ go [] [] (RSkolem _) | lax = return ()
671+ go [] ((p, _): _) _ | lax = return ()
672+ | otherwise = throwError $ prettyPrintValue (ObjectLiteral ps) ++ " does not have property " ++ p
673+ go ((p,_):_) [] REmpty = throwError $ "Property " ++ p ++ " is not present in closed object type " ++ prettyPrintRow row
674+ go ((p,v):ps) [] u@(RUnknown _) = do
675+ ty <- infer m v
676+ rest <- fresh
677+ u ~~ RCons p ty rest
678+ go ps [] rest
679+ go ((p,v):ps) ts r =
680+ case lookup p ts of
681+ Nothing -> do
682+ ty <- infer m v
683+ rest <- fresh
684+ r ~~ RCons p ty rest
685+ go ps ts rest
686+ Just ty -> do
687+ check m v ty
688+ go ps (delete (p, ty) ts) r
689+ go _ _ _ = throwError $ prettyPrintValue (ObjectLiteral ps) ++ " does not have type " ++ prettyPrintType (Object row)
690+
691+checkFunctionApplication :: M.Map Ident Type -> Type -> [Value] -> Type -> Subst Check ()
692+checkFunctionApplication m fnTy args ret = rethrow errorMessage $ checkFunctionApplication' m fnTy args ret
693+ where
694+ errorMessage msg = "Error applying function of type "
695+ ++ prettyPrintType fnTy
696+ ++ " to arguments " ++ intercalate ", " (map prettyPrintValue args)
697+ ++ ", expecting value of type "
698+ ++ prettyPrintType ret ++ ":\n" ++ msg
699+
700+checkFunctionApplication' :: M.Map Ident Type -> Type -> [Value] -> Type -> Subst Check ()
701+checkFunctionApplication' m (Function argTys retTy) args ret = do
702+ guardWith "Incorrect number of function arguments" (length args == length argTys)
703+ zipWithM (check m) args argTys
704+ retTy `subsumes` ret
705+checkFunctionApplication' m (ForAll ident ty) args ret = do
706+ replaced <- replaceVarsWithUnknowns [ident] ty
707+ checkFunctionApplication m replaced args ret
708+checkFunctionApplication' m u@(TUnknown _) args ret = do
709+ tyArgs <- mapM (infer m) args
710+ u `subsumes` Function tyArgs ret
711+checkFunctionApplication' _ fnTy args ret = throwError $ "Cannot apply function of type "
712+ ++ prettyPrintType fnTy
713+ ++ " to arguments " ++ intercalate ", " (map prettyPrintValue args)
714+ ++ ". Expecting value of type " ++ prettyPrintType ret ++ "."
715+
716+subsumes :: Type -> Type -> Subst Check ()
717+subsumes (ForAll ident ty1) ty2 = do
718+ replaced <- replaceVarsWithUnknowns [ident] ty1
719+ replaced `subsumes` ty2
720+subsumes (Function args1 ret1) (Function args2 ret2) = do
721+ zipWithM subsumes args2 args1
722+ ret1 `subsumes` ret2
723+subsumes ty1 ty2 = ty1 ~~ ty2
724+