@@ -0,0 +1,575 @@
1+-----------------------------------------------------------------------------
2+--
3+-- Module : 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 PureScript.TypeChecker.Types (
18+ TypeConstraint(..),
19+ TypeSolution(..),
20+ typeOf
21+) where
22+
23+import Data.List
24+import Data.Function
25+import qualified Data.Data as D
26+import Data.Generics (everywhere, everywhereM, everything, mkT, mkM, mkQ, extM, extQ)
27+
28+import PureScript.Values
29+import PureScript.Types
30+import PureScript.Kinds
31+import PureScript.Names
32+import PureScript.TypeChecker.Monad
33+import PureScript.TypeChecker.Kinds
34+import PureScript.TypeChecker.Synonyms
35+import PureScript.CodeGen.Pretty.Types
36+import PureScript.CodeGen.Pretty.Kinds
37+
38+import Control.Monad.State
39+import Control.Monad.Error
40+
41+import Control.Applicative
42+import Control.Arrow (Kleisli(..), (***), (&&&))
43+import qualified Control.Category as C
44+
45+import qualified Data.Map as M
46+
47+data TypeConstraint
48+ = TypeConstraint Int Type
49+ | RowConstraint Int Row deriving (Show, D.Data, D.Typeable)
50+
51+newtype TypeSolution = TypeSolution { runTypeSolution :: (Int -> Type, Int -> Row) }
52+
53+emptyTypeSolution :: TypeSolution
54+emptyTypeSolution = TypeSolution (TUnknown, RUnknown)
55+
56+typeOf :: Ident -> Value -> Check PolyType
57+typeOf name val = do
58+ (cs, n) <- case val of
59+ Abs _ _ -> do
60+ me <- fresh
61+ (cs, n) <- typeConstraints (M.singleton name me) val
62+ return (TypeConstraint me (TUnknown n) : cs, n)
63+ _ -> typeConstraints M.empty val
64+ desugared <- replaceAllTypeSynonyms cs
65+ solution <- solveTypeConstraints desugared emptyTypeSolution
66+ let ty = fst (runTypeSolution solution) n
67+ allUnknownsBecameQuantified desugared solution ty
68+ return $ varIfUnknown ty
69+
70+allUnknownsBecameQuantified :: [TypeConstraint] -> TypeSolution -> Type -> Check ()
71+allUnknownsBecameQuantified cs solution ty = do
72+ let
73+ typesMentioned = findUnknownTypes ty
74+ unknownTypes = nub $ flip concatMap cs $ \c -> case c of
75+ TypeConstraint u t -> u : findUnknownTypes t
76+ RowConstraint _ r -> findUnknownTypes r
77+ unsolvedTypes = filter (\n -> TUnknown n == fst (runTypeSolution solution) n) unknownTypes
78+ guardWith "Unsolved type variable" $ null $ unsolvedTypes \\ typesMentioned
79+ let
80+ rowsMentioned = findUnknownRows ty
81+ unknownRows = nub $ flip concatMap cs $ \c -> case c of
82+ TypeConstraint _ t -> findUnknownRows t
83+ RowConstraint u r -> u : findUnknownRows r
84+ unsolvedRows = filter (\n -> RUnknown n == snd (runTypeSolution solution) n) unknownRows
85+ guardWith "Unsolved row variable" $ null $ unsolvedRows \\ rowsMentioned
86+
87+findUnknownTypes :: (D.Data d) => d -> [Int]
88+findUnknownTypes = everything (++) (mkQ [] f)
89+ where
90+ f :: Type -> [Int]
91+ f (TUnknown n) = [n]
92+ f _ = []
93+
94+findTypeVars :: (D.Data d) => d -> [String]
95+findTypeVars = everything (++) (mkQ [] f)
96+ where
97+ f :: Type -> [String]
98+ f (TypeVar v) = [v]
99+ f _ = []
100+
101+findUnknownRows :: (D.Data d) => d -> [Int]
102+findUnknownRows = everything (++) (mkQ [] f)
103+ where
104+ f :: Row -> [Int]
105+ f (RUnknown n) = [n]
106+ f _ = []
107+
108+varIfUnknown :: Type -> PolyType
109+varIfUnknown ty =
110+ let
111+ (ty', m) = flip runState M.empty $ everywhereM (flip extM g $ mkM f) ty
112+ in
113+ PolyType (sort $ nub $ M.elems m ++ findTypeVars ty) ty'
114+ where
115+ f :: Type -> State (M.Map Int String) Type
116+ f (TUnknown n) = do
117+ m <- get
118+ case M.lookup n m of
119+ Nothing -> do
120+ let name = "t" ++ show (M.size m)
121+ put $ M.insert n name m
122+ return $ TypeVar name
123+ Just name -> return $ TypeVar name
124+ f t = return t
125+ g :: Row -> State (M.Map Int String) Row
126+ g (RUnknown n) = do
127+ m <- get
128+ case M.lookup n m of
129+ Nothing -> do
130+ let name = "r" ++ show (M.size m)
131+ put $ M.insert n name m
132+ return $ RowVar name
133+ Just name -> return $ RowVar name
134+ g r = return r
135+
136+replaceVarsWithUnknowns :: [String] -> Type -> Check Type
137+replaceVarsWithUnknowns idents = flip evalStateT M.empty . everywhereM (flip extM f $ mkM g)
138+ where
139+ f :: Type -> StateT (M.Map String Int) Check Type
140+ f (TypeVar var) | var `elem` idents = do
141+ m <- get
142+ n <- lift fresh
143+ case M.lookup var m of
144+ Nothing -> do
145+ put (M.insert var n m)
146+ return $ TUnknown n
147+ Just u -> return $ TUnknown u
148+ f t = return t
149+ g :: Row -> StateT (M.Map String Int) Check Row
150+ g (RowVar var) | var `elem` idents = do
151+ m <- get
152+ n <- lift fresh
153+ case M.lookup var m of
154+ Nothing -> do
155+ put (M.insert var n m)
156+ return $ RUnknown n
157+ Just u -> return $ RUnknown u
158+ g r = return r
159+
160+replaceAllTypeSynonyms :: (D.Data d) => d -> Check d
161+replaceAllTypeSynonyms ty = do
162+ env <- getEnv
163+ go (M.toList $ typeSynonyms env) ty
164+ where
165+ go [] d = return d
166+ go ((name, (args, repl)):rest) d = do
167+ d' <- either throwError return (substituteTypeSynonym name args repl d)
168+ go rest d'
169+
170+replaceType :: (D.Data d) => Int -> Type -> d -> d
171+replaceType n t = everywhere (mkT go)
172+ where
173+ go (TUnknown m) | m == n = t
174+ go t = t
175+
176+replaceRow :: (D.Data d) => Int -> Row -> d -> d
177+replaceRow n r = everywhere (mkT go)
178+ where
179+ go (RUnknown m) | m == n = r
180+ go r = r
181+
182+typeOccursCheck :: Int -> Type -> Check ()
183+typeOccursCheck u (TUnknown _) = return ()
184+typeOccursCheck u t = when (occursCheck u t) $ throwError $ "Occurs check failed: " ++ show u ++ " = " ++ prettyPrintType t
185+
186+rowOccursCheck :: Int -> Row -> Check ()
187+rowOccursCheck u (RUnknown _) = return ()
188+rowOccursCheck u r = when (occursCheck u r) $ throwError $ "Occurs check failed: " ++ show u ++ " = " ++ prettyPrintRow r
189+
190+occursCheck :: (D.Data d) => Int -> d -> Bool
191+occursCheck u = everything (||) $ flip extQ g $ mkQ False f
192+ where
193+ f (TUnknown u') | u' == u = True
194+ f _ = False
195+ g (RUnknown u') | u' == u = True
196+ g _ = False
197+
198+typeConstraints :: M.Map Ident Int -> Value -> Check ([TypeConstraint], Int)
199+typeConstraints _ (NumericLiteral _) = do
200+ me <- fresh
201+ return ([TypeConstraint me Number], me)
202+typeConstraints _ (StringLiteral _) = do
203+ me <- fresh
204+ return ([TypeConstraint me String], me)
205+typeConstraints _ (BooleanLiteral _) = do
206+ me <- fresh
207+ return ([TypeConstraint me Boolean], me)
208+typeConstraints m (ArrayLiteral vals) = do
209+ all <- mapM (typeConstraints m) vals
210+ let (cs, ns) = (concat . map fst &&& map snd) all
211+ me <- fresh
212+ return (cs ++ map (TypeConstraint me . Array . TUnknown) ns, me)
213+typeConstraints m (Unary op val) = do
214+ (cs, n1) <- typeConstraints m val
215+ me <- fresh
216+ return (cs ++ unaryOperatorConstraints op n1 me, me)
217+typeConstraints m (Binary op left right) = do
218+ (cs1, n1) <- typeConstraints m left
219+ (cs2, n2) <- typeConstraints m right
220+ me <- fresh
221+ return (cs1 ++ cs2 ++ binaryOperatorConstraints op n1 n2 me, me)
222+typeConstraints m (ObjectLiteral ps) = do
223+ all <- mapM (typeConstraints m . snd) ps
224+ let (cs, ns) = (concat . map fst &&& map snd) all
225+ me <- fresh
226+ let tys = zipWith (\(name, _) u -> (name, TUnknown u)) ps ns
227+ return ((TypeConstraint me (Object (typesToRow tys))) : cs, me)
228+ where
229+ typesToRow [] = REmpty
230+ typesToRow ((name, ty):tys) = RCons name ty (typesToRow tys)
231+typeConstraints m (Indexer index val) = do
232+ (cs1, n1) <- typeConstraints m index
233+ (cs2, n2) <- typeConstraints m val
234+ me <- fresh
235+ return ((TypeConstraint n1 Number) : (TypeConstraint n2 (Array (TUnknown me))) : cs1 ++ cs2, me)
236+typeConstraints m (Accessor prop val) = do
237+ (cs, n1) <- typeConstraints m val
238+ me <- fresh
239+ rest <- fresh
240+ return ((TypeConstraint n1 (Object (RCons prop (TUnknown me) (RUnknown rest)))) : cs, me)
241+typeConstraints m (Abs args ret) = do
242+ ns <- replicateM (length args) fresh
243+ let m' = m `M.union` M.fromList (zipWith (,) args ns)
244+ (cs, n') <- typeConstraints m' ret
245+ me <- fresh
246+ return ((TypeConstraint me (Function (map TUnknown ns) (TUnknown n'))) : cs, me)
247+typeConstraints m (App f xs) = do
248+ (cs1, n1) <- typeConstraints m f
249+ all <- mapM (typeConstraints m) xs
250+ let (cs2, ns) = (concat . map fst &&& map snd) all
251+ me <- fresh
252+ return ((TypeConstraint n1 (Function (map TUnknown ns) (TUnknown me))) : cs1 ++ cs2, me)
253+typeConstraints m (Var var) =
254+ case M.lookup var m of
255+ Nothing -> do
256+ env <- getEnv
257+ case M.lookup var (names env) of
258+ Nothing -> throwError $ show var ++ " is undefined"
259+ Just (PolyType idents ty, _) -> do
260+ me <- fresh
261+ replaced <- replaceVarsWithUnknowns idents ty
262+ return ([TypeConstraint me replaced], me)
263+ Just u -> do
264+ me <- fresh
265+ return ([TypeConstraint u (TUnknown me)], me)
266+typeConstraints m (Block ss) = do
267+ ret <- fresh
268+ (cs, allCodePathsReturn, _) <- typeConstraintsForBlock m M.empty ret ss
269+ guardWith "Block is missing a return statement" allCodePathsReturn
270+ return (cs, ret)
271+typeConstraints m (Constructor c) = do
272+ env <- getEnv
273+ case M.lookup c (dataConstructors env) of
274+ Nothing -> throwError $ "Constructor " ++ c ++ " is undefined"
275+ Just (PolyType idents ty) -> do
276+ me <- fresh
277+ replaced <- replaceVarsWithUnknowns idents ty
278+ return ([TypeConstraint me replaced], me)
279+typeConstraints m (Case val binders) = do
280+ (cs1, n1) <- typeConstraints m val
281+ ret <- fresh
282+ cs2 <- typeConstraintsForBinders m n1 ret binders
283+ return (cs1 ++ cs2, ret)
284+typeConstraints m (IfThenElse cond th el) = do
285+ (cs1, n1) <- typeConstraints m cond
286+ (cs2, n2) <- typeConstraints m th
287+ (cs3, n3) <- typeConstraints m el
288+ return (TypeConstraint n1 Boolean : TypeConstraint n2 (TUnknown n3) : cs1 ++ cs2 ++ cs3, n2)
289+typeConstraints m (TypedValue val poly@(PolyType idents ty)) = do
290+ kind <- kindOf poly
291+ guardWith ("Expected type of kind *, was " ++ prettyPrintKind kind) $ kind == Star
292+ (cs, n1) <- typeConstraints m val
293+ return (TypeConstraint n1 ty : cs, n1)
294+
295+unaryOperatorConstraints :: UnaryOperator -> Int -> Int -> [TypeConstraint]
296+unaryOperatorConstraints Negate val result = [TypeConstraint val Number, TypeConstraint result Number]
297+unaryOperatorConstraints Not val result = [TypeConstraint val Boolean, TypeConstraint result Boolean]
298+unaryOperatorConstraints BitwiseNot val result = [TypeConstraint val Number, TypeConstraint result Number]
299+
300+binaryOperatorConstraints :: BinaryOperator -> Int -> Int -> Int -> [TypeConstraint]
301+binaryOperatorConstraints Add = symBinOpConstraints Number
302+binaryOperatorConstraints Subtract = symBinOpConstraints Number
303+binaryOperatorConstraints Multiply = symBinOpConstraints Number
304+binaryOperatorConstraints Divide = symBinOpConstraints Number
305+binaryOperatorConstraints Modulus = symBinOpConstraints Number
306+binaryOperatorConstraints LessThan = asymBinOpConstraints Number Boolean
307+binaryOperatorConstraints LessThanOrEqualTo = asymBinOpConstraints Number Boolean
308+binaryOperatorConstraints GreaterThan = asymBinOpConstraints Number Boolean
309+binaryOperatorConstraints GreaterThanOrEqualTo = asymBinOpConstraints Number Boolean
310+binaryOperatorConstraints BitwiseAnd = symBinOpConstraints Number
311+binaryOperatorConstraints BitwiseOr = symBinOpConstraints Number
312+binaryOperatorConstraints BitwiseXor = symBinOpConstraints Number
313+binaryOperatorConstraints ShiftLeft = symBinOpConstraints Number
314+binaryOperatorConstraints ShiftRight = symBinOpConstraints Number
315+binaryOperatorConstraints ZeroFillShiftRight = symBinOpConstraints Number
316+binaryOperatorConstraints EqualTo = equalityBinOpConstraints
317+binaryOperatorConstraints NotEqualTo = equalityBinOpConstraints
318+binaryOperatorConstraints And = symBinOpConstraints Boolean
319+binaryOperatorConstraints Or = symBinOpConstraints Boolean
320+binaryOperatorConstraints Concat = symBinOpConstraints String
321+
322+equalityBinOpConstraints :: Int -> Int -> Int -> [TypeConstraint]
323+equalityBinOpConstraints left right result = [TypeConstraint left (TUnknown right), TypeConstraint result Boolean]
324+
325+symBinOpConstraints :: Type -> Int -> Int -> Int -> [TypeConstraint]
326+symBinOpConstraints ty left right result = asymBinOpConstraints ty ty left right result
327+
328+asymBinOpConstraints :: Type -> Type -> Int -> Int -> Int -> [TypeConstraint]
329+asymBinOpConstraints ty res left right result = [TypeConstraint left ty, TypeConstraint right ty, TypeConstraint result res]
330+
331+typeConstraintsForBinder :: Int -> Binder -> Check ([TypeConstraint], M.Map Ident Int)
332+typeConstraintsForBinder _ NullBinder = return ([], M.empty)
333+typeConstraintsForBinder val (StringBinder _) = constantBinder val String
334+typeConstraintsForBinder val (NumberBinder _) = constantBinder val Number
335+typeConstraintsForBinder val (BooleanBinder _) = constantBinder val Boolean
336+typeConstraintsForBinder val (VarBinder name) = do
337+ me <- fresh
338+ return ([TypeConstraint me (TUnknown val)], M.singleton name me)
339+typeConstraintsForBinder val (NullaryBinder ctor) = do
340+ env <- getEnv
341+ case M.lookup ctor (dataConstructors env) of
342+ Just (PolyType args ret) -> do
343+ ret' <- replaceVarsWithUnknowns args ret
344+ return ([TypeConstraint val ret'], M.empty)
345+ _ -> throwError $ "Constructor " ++ ctor ++ " is not defined"
346+typeConstraintsForBinder val (UnaryBinder ctor binder) = do
347+ env <- getEnv
348+ case M.lookup ctor (dataConstructors env) of
349+ Just (PolyType idents f@(Function [_] _)) -> do
350+ obj <- fresh
351+ (Function [ty] ret) <- replaceVarsWithUnknowns idents f
352+ (cs, m1) <- typeConstraintsForBinder obj binder
353+ return ((TypeConstraint val ret) : (TypeConstraint obj ty) : cs, m1)
354+ Just _ -> throwError $ ctor ++ " is not a unary constructor"
355+ _ -> throwError $ "Constructor " ++ ctor ++ " is not defined"
356+typeConstraintsForBinder val (ObjectBinder props) = do
357+ row <- fresh
358+ rest <- fresh
359+ (cs, m1) <- typeConstraintsForProperties row (RUnknown rest) props
360+ return ((TypeConstraint val (Object (RUnknown row))) : cs, m1)
361+ where
362+ typeConstraintsForProperties :: Int -> Row -> [(String, Binder)] -> Check ([TypeConstraint], M.Map Ident Int)
363+ typeConstraintsForProperties nrow row [] = return ([RowConstraint nrow row], M.empty)
364+ typeConstraintsForProperties nrow row ((name, binder):binders) = do
365+ propTy <- fresh
366+ (cs1, m1) <- typeConstraintsForBinder propTy binder
367+ (cs2, m2) <- typeConstraintsForProperties nrow (RCons name (TUnknown propTy) row) binders
368+ return (cs1 ++ cs2, M.union m1 m2)
369+typeConstraintsForBinder val (ArrayBinder binders rest) = do
370+ el <- fresh
371+ all <- mapM (typeConstraintsForBinder el) binders
372+ let (cs1, m1) = (concat . map fst &&& M.unions . map snd) all
373+ let arrayConstraint = TypeConstraint val (Array (TUnknown el))
374+ case rest of
375+ Nothing -> return (arrayConstraint : cs1, m1)
376+ Just binder -> do
377+ (cs2, m2) <- typeConstraintsForBinder val binder
378+ return (arrayConstraint : cs1 ++ cs2, M.union m1 m2)
379+typeConstraintsForBinder val (NamedBinder name binder) = do
380+ me <- fresh
381+ (cs, m) <- typeConstraintsForBinder val binder
382+ return (TypeConstraint me (TUnknown val) : cs, M.insert name me m)
383+typeConstraintsForBinder val (GuardedBinder cond binder) = do
384+ (cs1, m) <- typeConstraintsForBinder val binder
385+ (cs2, n) <- typeConstraints m cond
386+ return (TypeConstraint n Boolean : cs1 ++ cs2, m)
387+
388+constantBinder :: Int -> Type -> Check ([TypeConstraint], M.Map Ident Int)
389+constantBinder val ty = return ([TypeConstraint val ty], M.empty)
390+
391+typeConstraintsForBinders :: M.Map Ident Int -> Int -> Int -> [(Binder, Value)] -> Check [TypeConstraint]
392+typeConstraintsForBinders _ _ _ [] = return []
393+typeConstraintsForBinders m nval ret ((binder, val):bs) = do
394+ (cs1, m1) <- typeConstraintsForBinder nval binder
395+ (cs2, n2) <- typeConstraints (M.union m m1) val
396+ cs3 <- typeConstraintsForBinders m nval ret bs
397+ return ((TypeConstraint n2 (TUnknown ret)) : cs1 ++ cs2 ++ cs3)
398+
399+assignVariable :: Ident -> M.Map Ident Int -> Check ()
400+assignVariable name m =
401+ case M.lookup name m of
402+ Nothing -> return ()
403+ Just _ -> throwError $ "Variable with name " ++ show name ++ " already exists."
404+
405+typeConstraintsForStatement :: M.Map Ident Int -> M.Map Ident Int -> Int -> Statement -> Check ([TypeConstraint], Bool, M.Map Ident Int)
406+typeConstraintsForStatement m mass ret (VariableIntroduction name val) = do
407+ assignVariable name (m `M.union` mass)
408+ (cs1, n1) <- typeConstraints m val
409+ return $ (cs1, False, M.insert name n1 mass)
410+typeConstraintsForStatement m mass ret (Assignment tgt val) = do
411+ (cs1, n1) <- typeConstraints m val
412+ cs2 <- typeConstraintsForAssignmentTarget m mass n1 tgt
413+ return (cs1 ++ cs2, False, mass)
414+typeConstraintsForStatement m mass ret (While val inner) = do
415+ (cs1, n1) <- typeConstraints m val
416+ (cs2, allCodePathsReturn, _) <- typeConstraintsForBlock m mass ret inner
417+ return $ ((TypeConstraint n1 Boolean) : cs1 ++ cs2, allCodePathsReturn, mass)
418+typeConstraintsForStatement m mass ret (If ifst) = do
419+ (cs, allCodePathsReturn) <- typeConstraintsForIfStatement m mass ret ifst
420+ return $ (cs, allCodePathsReturn, mass)
421+typeConstraintsForStatement m mass ret (For ident start end inner) = do
422+ assignVariable ident (m `M.union` mass)
423+ (cs1, n1) <- typeConstraints (m `M.union` mass) start
424+ (cs2, n2) <- typeConstraints (m `M.union` mass) end
425+ let mass1 = M.insert ident n1 mass
426+ (cs3, allCodePathsReturn, _) <- typeConstraintsForBlock (m `M.union` mass1) mass1 ret inner
427+ return $ ((TypeConstraint n1 Number) : (TypeConstraint n2 Number) : cs1 ++ cs2 ++ cs3, allCodePathsReturn, mass)
428+typeConstraintsForStatement m mass ret (ForEach ident vals inner) = do
429+ assignVariable ident (m `M.union` mass)
430+ val <- fresh
431+ (cs1, n1) <- typeConstraints (m `M.union` mass) vals
432+ let mass1 = M.insert ident val mass
433+ (cs2, allCodePathsReturn, _) <- typeConstraintsForBlock (m `M.union` mass1) mass1 ret inner
434+ guardWith "Cannot return from within a foreach block" $ not allCodePathsReturn
435+ return $ ((TypeConstraint n1 (Array (TUnknown val))) : cs1 ++ cs2, False, mass)
436+typeConstraintsForStatement m mass ret (Return val) = do
437+ (cs1, n1) <- typeConstraints (m `M.union` mass) val
438+ return ((TypeConstraint n1 (TUnknown ret)) : cs1, True, mass)
439+
440+typeConstraintsForIfStatement :: M.Map Ident Int -> M.Map Ident Int -> Int -> IfStatement -> Check ([TypeConstraint], Bool)
441+typeConstraintsForIfStatement m mass ret (IfStatement val thens Nothing) = do
442+ (cs1, n1) <- typeConstraints m val
443+ (cs2, allCodePathsReturn, _) <- typeConstraintsForBlock m mass ret thens
444+ return ((TypeConstraint n1 Boolean) : cs1 ++ cs2, allCodePathsReturn)
445+typeConstraintsForIfStatement m mass ret (IfStatement val thens (Just elses)) = do
446+ (cs1, n1) <- typeConstraints m val
447+ (cs2, allCodePathsReturn1, _) <- typeConstraintsForBlock m mass ret thens
448+ (cs3, allCodePathsReturn2) <- typeConstraintsForElseStatement m mass ret elses
449+ return ((TypeConstraint n1 Boolean) : cs1 ++ cs2 ++ cs3, allCodePathsReturn1 && allCodePathsReturn2)
450+
451+typeConstraintsForElseStatement :: M.Map Ident Int -> M.Map Ident Int -> Int -> ElseStatement -> Check ([TypeConstraint], Bool)
452+typeConstraintsForElseStatement m mass ret (Else elses) = do
453+ (cs, allCodePathsReturn, _) <- typeConstraintsForBlock m mass ret elses
454+ return (cs, allCodePathsReturn)
455+typeConstraintsForElseStatement m mass ret (ElseIf ifst) = do
456+ (cs, allCodePathsReturn) <- typeConstraintsForIfStatement m mass ret ifst
457+ return (cs, allCodePathsReturn)
458+
459+typeConstraintsForAssignmentTarget :: M.Map Ident Int -> M.Map Ident Int -> Int -> AssignmentTarget -> Check [TypeConstraint]
460+typeConstraintsForAssignmentTarget m mass nval (AssignVariable var) =
461+ case M.lookup var mass of
462+ Nothing -> throwError $ "No local variable with name " ++ show var
463+ Just ty -> do
464+ return [TypeConstraint nval (TUnknown ty)]
465+typeConstraintsForAssignmentTarget m mass nval (AssignArrayIndex index tgt) = do
466+ arr <- fresh
467+ (cs1, n1) <- typeConstraints (m `M.union` mass) index
468+ cs2 <- typeConstraintsForAssignmentTarget m mass arr tgt
469+ return $ (TypeConstraint arr (Array (TUnknown nval))) : (TypeConstraint n1 Number) : cs1 ++ cs2
470+typeConstraintsForAssignmentTarget m mass nval (AssignObjectProperty prop tgt) = do
471+ obj <- fresh
472+ row <- fresh
473+ cs <- typeConstraintsForAssignmentTarget m mass obj tgt
474+ return $ (TypeConstraint obj (Object (RCons prop (TUnknown nval) $ RUnknown row))) : cs
475+
476+typeConstraintsForBlock :: M.Map Ident Int -> M.Map Ident Int -> Int -> [Statement] -> Check ([TypeConstraint], Bool, M.Map Ident Int)
477+typeConstraintsForBlock _ mass _ [] = return ([], False, mass)
478+typeConstraintsForBlock m mass ret (s:ss) = do
479+ (cs1, b1, mass1) <- typeConstraintsForStatement (m `M.union` mass) mass ret s
480+ case (b1, ss) of
481+ (True, []) -> return (cs1, True, mass1)
482+ (True, _) -> throwError "Unreachable code"
483+ (False, ss) -> do
484+ (cs2, b2, mass2) <- typeConstraintsForBlock m mass1 ret ss
485+ return (cs1 ++ cs2, b2, mass2)
486+
487+solveTypeConstraints :: [TypeConstraint] -> TypeSolution -> Check TypeSolution
488+solveTypeConstraints [] s = return s
489+solveTypeConstraints all@(TypeConstraint n t:cs) s = do
490+ typeOccursCheck n t
491+ let s' = let (f, g) = runTypeSolution s
492+ in TypeSolution (replaceType n t . f, replaceType n t . g)
493+ cs' <- fmap concat $ mapM (substituteTypeInConstraint n t) cs
494+ solveTypeConstraints cs' s'
495+solveTypeConstraints (RowConstraint n r:cs) s = do
496+ rowOccursCheck n r
497+ let s' = let (f, g) = runTypeSolution s
498+ in TypeSolution $ (replaceRow n r . f, replaceRow n r . g)
499+ cs' <- fmap concat $ mapM (substituteRowInConstraint n r) cs
500+ solveTypeConstraints cs' s'
501+
502+substituteTypeInConstraint :: Int -> Type -> TypeConstraint -> Check [TypeConstraint]
503+substituteTypeInConstraint n s (TypeConstraint m t)
504+ | n == m = unifyTypes s t
505+ | otherwise = return [TypeConstraint m (replaceType n s t)]
506+substituteTypeInConstraint n s (RowConstraint m r)
507+ = return [RowConstraint m (replaceType n s r)]
508+
509+substituteRowInConstraint :: Int -> Row -> TypeConstraint -> Check [TypeConstraint]
510+substituteRowInConstraint n r (TypeConstraint m t)
511+ = return [TypeConstraint m (replaceRow n r t)]
512+substituteRowInConstraint n r (RowConstraint m r1)
513+ | m == n = unifyRows r r1
514+ | otherwise = return [RowConstraint m (replaceRow n r r1)]
515+
516+unifyTypes :: Type -> Type -> Check [TypeConstraint]
517+unifyTypes (TUnknown u1) (TUnknown u2) | u1 == u2 = return []
518+unifyTypes (TUnknown u) t = do
519+ typeOccursCheck u t
520+ return [TypeConstraint u t]
521+unifyTypes t (TUnknown u) = do
522+ typeOccursCheck u t
523+ return [TypeConstraint u t]
524+unifyTypes Number Number = return []
525+unifyTypes String String = return []
526+unifyTypes Boolean Boolean = return []
527+unifyTypes (Array s) (Array t) = unifyTypes s t
528+unifyTypes (Object row1) (Object row2) = unifyRows row1 row2
529+unifyTypes (Function args1 ret1) (Function args2 ret2) = do
530+ guardWith "Function applied to incorrect number of args" $ length args1 == length args2
531+ cs1 <- fmap concat $ zipWithM unifyTypes args1 args2
532+ cs2 <- unifyTypes ret1 ret2
533+ return $ cs1 ++ cs2
534+unifyTypes (TypeVar v1) (TypeVar v2) | v1 == v2 = return []
535+unifyTypes (TypeConstructor c1) (TypeConstructor c2) | c1 == c2 = return []
536+unifyTypes (TypeVar v1) (TypeVar v2) = return []
537+unifyTypes (TypeApp t1 t2) (TypeApp t3 t4) = do
538+ cs1 <- unifyTypes t1 t3
539+ cs2 <- unifyTypes t2 t4
540+ return $ cs1 ++ cs2
541+unifyTypes t1 t2 = throwError $ "Cannot unify " ++ prettyPrintType t1 ++ " with " ++ prettyPrintType t2 ++ "."
542+
543+unifyRows :: Row -> Row -> Check [TypeConstraint]
544+unifyRows r1 r2 =
545+ let
546+ (s1, r1') = toList r1
547+ (s2, r2') = toList r2
548+ int = [ (t1, t2) | (name, t1) <- s1, (name', t2) <- s2, name == name' ]
549+ sd1 = [ (name, t1) | (name, t1) <- s1, not (elem name (map fst s2)) ]
550+ sd2 = [ (name, t2) | (name, t2) <- s2, not (elem name (map fst s1)) ]
551+ in rethrow (\e -> "Cannot unify " ++ prettyPrintRow r1 ++ " with " ++ prettyPrintRow r2 ++ ": " ++ e) $ do
552+ cs1 <- fmap concat $ mapM (uncurry unifyTypes) int
553+ cs2 <- unifyRows' sd1 r1' sd2 r2'
554+ return $ cs1 ++ cs2
555+ where
556+ unifyRows' :: [(String, Type)] -> Row -> [(String, Type)] -> Row -> Check [TypeConstraint]
557+ unifyRows' [] (RUnknown u) sd r = do
558+ rowOccursCheck u r
559+ return [RowConstraint u (fromList (sd, r))]
560+ unifyRows' sd r [] (RUnknown u) = do
561+ rowOccursCheck u r
562+ return [RowConstraint u (fromList (sd, r))]
563+ unifyRows' ((name, ty):row) r others (RUnknown u) = do
564+ u' <- fresh
565+ cs <- unifyRows' row r others (RUnknown u')
566+ return (RowConstraint u (RCons name ty (RUnknown u')) : cs)
567+ unifyRows' [] REmpty [] REmpty = return []
568+ unifyRows' sd1 r1 sd2 r2 = throwError $ "Cannot unify " ++ prettyPrintRow (fromList (sd1, r1)) ++ " with " ++ prettyPrintRow (fromList (sd2, r2)) ++ "."
569+ toList :: Row -> ([(String, Type)], Row)
570+ toList (RCons name ty row) = let (tys, rest) = toList row
571+ in ((name, ty):tys, rest)
572+ toList r = ([], r)
573+ fromList :: ([(String, Type)], Row) -> Row
574+ fromList ([], r) = r
575+ fromList ((name, t):ts, r) = RCons name t (fromList (ts, r))