@@ -0,0 +1,626 @@
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 Debug.Trace
24+
25+import Data.List
26+import Data.Function
27+import qualified Data.Data as D
28+import Data.Generics (everywhere, everywhereM, everything, mkT, mkM, mkQ, extM, extQ)
29+
30+import PureScript.Values
31+import PureScript.Types
32+import PureScript.Kinds
33+import PureScript.Names
34+import PureScript.TypeChecker.Monad
35+import PureScript.TypeChecker.Kinds
36+import PureScript.TypeChecker.Synonyms
37+import PureScript.CodeGen.Pretty.Types
38+import PureScript.CodeGen.Pretty.Kinds
39+import PureScript.CodeGen.Pretty.Values
40+
41+import Control.Monad.State
42+import Control.Monad.Error
43+
44+import Control.Applicative
45+import Control.Arrow (Kleisli(..), (***), (&&&))
46+import qualified Control.Category as C
47+
48+import qualified Data.Map as M
49+
50+data TypeConstraintOrigin
51+ = ValueOrigin Value
52+ | BinderOrigin Binder
53+ | AssignmentTargetOrigin Ident deriving (Show, D.Data, D.Typeable)
54+
55+prettyPrintOrigin :: TypeConstraintOrigin -> String
56+prettyPrintOrigin (ValueOrigin val) = prettyPrintValue val
57+prettyPrintOrigin (BinderOrigin binder) = prettyPrintBinder binder
58+prettyPrintOrigin (AssignmentTargetOrigin ident) = show ident
59+
60+data TypeConstraint
61+ = TypeConstraint Int Type TypeConstraintOrigin
62+ | RowConstraint Int Row TypeConstraintOrigin deriving (Show, D.Data, D.Typeable)
63+
64+newtype TypeSolution = TypeSolution { runTypeSolution :: (Int -> Type, Int -> Row) }
65+
66+emptyTypeSolution :: TypeSolution
67+emptyTypeSolution = TypeSolution (TUnknown, RUnknown)
68+
69+isFunction :: Value -> Bool
70+isFunction (Abs _ _) = True
71+isFunction (TypedValue untyped _) = isFunction untyped
72+isFunction _ = False
73+
74+allConstraints :: Ident -> Value -> Check ([TypeConstraint], Int)
75+allConstraints name val | isFunction val = do
76+ me <- fresh
77+ (cs, n) <- typeConstraints (M.singleton name me) val
78+ return (TypeConstraint me (TUnknown n) (ValueOrigin val): cs, n)
79+allConstraints _ val = typeConstraints M.empty val
80+
81+typeOf :: Ident -> Value -> Check PolyType
82+typeOf name val = do
83+ (cs, n) <- allConstraints name val
84+ desugared <- replaceAllTypeSynonyms cs
85+ solution <- solveTypeConstraints desugared emptyTypeSolution
86+ let ty = fst (runTypeSolution solution) n
87+ allUnknownsBecameQuantified desugared solution ty
88+ return $ varIfUnknown $ desaturateAllTypeSynonyms $ setifyAll ty
89+
90+allUnknownsBecameQuantified :: [TypeConstraint] -> TypeSolution -> Type -> Check ()
91+allUnknownsBecameQuantified cs solution ty = do
92+ let
93+ typesMentioned = findUnknownTypes ty
94+ unknownTypes = nub $ flip concatMap cs $ \c -> case c of
95+ TypeConstraint u t _ -> u : findUnknownTypes t
96+ RowConstraint _ r _ -> findUnknownTypes r
97+ unsolvedTypes = filter (\n -> TUnknown n == fst (runTypeSolution solution) n) unknownTypes
98+ guardWith "Unsolved type variable" $ null $ unsolvedTypes \\ typesMentioned
99+ let
100+ rowsMentioned = findUnknownRows ty
101+ unknownRows = nub $ flip concatMap cs $ \c -> case c of
102+ TypeConstraint _ t _ -> findUnknownRows t
103+ RowConstraint u r _ -> u : findUnknownRows r
104+ unsolvedRows = filter (\n -> RUnknown n == snd (runTypeSolution solution) n) unknownRows
105+ guardWith "Unsolved row variable" $ null $ unsolvedRows \\ rowsMentioned
106+
107+setify :: Row -> Row
108+setify = rowFromList . (M.toList . M.fromList *** id) . rowToList
109+
110+setifyAll :: (D.Data d) => d -> d
111+setifyAll = everywhere (mkT setify)
112+
113+findUnknownTypes :: (D.Data d) => d -> [Int]
114+findUnknownTypes = everything (++) (mkQ [] f)
115+ where
116+ f :: Type -> [Int]
117+ f (TUnknown n) = [n]
118+ f _ = []
119+
120+findTypeVars :: (D.Data d) => d -> [String]
121+findTypeVars = everything (++) (mkQ [] f)
122+ where
123+ f :: Type -> [String]
124+ f (TypeVar v) = [v]
125+ f _ = []
126+
127+findUnknownRows :: (D.Data d) => d -> [Int]
128+findUnknownRows = everything (++) (mkQ [] f)
129+ where
130+ f :: Row -> [Int]
131+ f (RUnknown n) = [n]
132+ f _ = []
133+
134+varIfUnknown :: Type -> PolyType
135+varIfUnknown ty =
136+ let
137+ (ty', m) = flip runState M.empty $ everywhereM (flip extM g $ mkM f) ty
138+ in
139+ PolyType (sort $ nub $ M.elems m ++ findTypeVars ty) ty'
140+ where
141+ f :: Type -> State (M.Map Int String) Type
142+ f (TUnknown n) = do
143+ m <- get
144+ case M.lookup n m of
145+ Nothing -> do
146+ let name = "t" ++ show (M.size m)
147+ put $ M.insert n name m
148+ return $ TypeVar name
149+ Just name -> return $ TypeVar name
150+ f t = return t
151+ g :: Row -> State (M.Map Int String) Row
152+ g (RUnknown n) = do
153+ m <- get
154+ case M.lookup n m of
155+ Nothing -> do
156+ let name = "r" ++ show (M.size m)
157+ put $ M.insert n name m
158+ return $ RowVar name
159+ Just name -> return $ RowVar name
160+ g r = return r
161+
162+replaceTypeVars :: M.Map String Type -> Type -> Type
163+replaceTypeVars m = everywhere (mkT replace)
164+ where
165+ replace (TypeVar v) = case M.lookup v m of
166+ Just ty -> ty
167+ _ -> TypeVar v
168+ replace t = t
169+
170+replaceVarsWithUnknowns :: [String] -> Type -> Check Type
171+replaceVarsWithUnknowns idents = flip evalStateT M.empty . everywhereM (flip extM f $ mkM g)
172+ where
173+ f :: Type -> StateT (M.Map String Int) Check Type
174+ f (TypeVar var) | var `elem` idents = do
175+ m <- get
176+ n <- lift fresh
177+ case M.lookup var m of
178+ Nothing -> do
179+ put (M.insert var n m)
180+ return $ TUnknown n
181+ Just u -> return $ TUnknown u
182+ f t = return t
183+ g :: Row -> StateT (M.Map String Int) Check Row
184+ g (RowVar var) | var `elem` idents = do
185+ m <- get
186+ n <- lift fresh
187+ case M.lookup var m of
188+ Nothing -> do
189+ put (M.insert var n m)
190+ return $ RUnknown n
191+ Just u -> return $ RUnknown u
192+ g r = return r
193+
194+replaceAllTypeSynonyms :: (D.Data d) => d -> Check d
195+replaceAllTypeSynonyms d = do
196+ env <- getEnv
197+ let syns = map (\(name, (args, _)) -> (name, length args)) . M.toList $ typeSynonyms env
198+ either throwError return $ saturateAllTypeSynonyms syns d
199+
200+desaturateAllTypeSynonyms :: (D.Data d) => d -> d
201+desaturateAllTypeSynonyms = everywhere (mkT $ replace)
202+ where
203+ replace (SaturatedTypeSynonym name args) = foldl (\t arg -> TypeApp t arg) (TypeConstructor name) args
204+ replace t = t
205+
206+replaceType :: (D.Data d) => Int -> Type -> d -> d
207+replaceType n t = everywhere (mkT go)
208+ where
209+ go (TUnknown m) | m == n = t
210+ go t = t
211+
212+replaceRow :: (D.Data d) => Int -> Row -> d -> d
213+replaceRow n r = everywhere (mkT go)
214+ where
215+ go (RUnknown m) | m == n = r
216+ go r = r
217+
218+typeOccursCheck :: Int -> Type -> Check ()
219+typeOccursCheck u (TUnknown _) = return ()
220+typeOccursCheck u t = when (occursCheck u t) $ throwError $ "Occurs check failed: " ++ show u ++ " = " ++ prettyPrintType t
221+
222+rowOccursCheck :: Int -> Row -> Check ()
223+rowOccursCheck u (RUnknown _) = return ()
224+rowOccursCheck u r = when (occursCheck u r) $ throwError $ "Occurs check failed: " ++ show u ++ " = " ++ prettyPrintRow r
225+
226+occursCheck :: (D.Data d) => Int -> d -> Bool
227+occursCheck u = everything (||) $ flip extQ g $ mkQ False f
228+ where
229+ f (TUnknown u') | u' == u = True
230+ f _ = False
231+ g (RUnknown u') | u' == u = True
232+ g _ = False
233+
234+typesToRow :: [(String, Type)] -> Row
235+typesToRow [] = REmpty
236+typesToRow ((name, ty):tys) = RCons name ty (typesToRow tys)
237+
238+rowToList :: Row -> ([(String, Type)], Row)
239+rowToList (RCons name ty row) = let (tys, rest) = rowToList row
240+ in ((name, ty):tys, rest)
241+rowToList r = ([], r)
242+
243+rowFromList :: ([(String, Type)], Row) -> Row
244+rowFromList ([], r) = r
245+rowFromList ((name, t):ts, r) = RCons name t (rowFromList (ts, r))
246+
247+ensureNoDuplicateProperties :: [(String, Value)] -> Check ()
248+ensureNoDuplicateProperties ps = guardWith "Duplicate property names" $ length (nub . map fst $ ps) == length ps
249+
250+typeConstraints :: M.Map Ident Int -> Value -> Check ([TypeConstraint], Int)
251+typeConstraints _ v@(NumericLiteral _) = do
252+ me <- fresh
253+ return ([TypeConstraint me Number (ValueOrigin v)], me)
254+typeConstraints _ v@(StringLiteral _) = do
255+ me <- fresh
256+ return ([TypeConstraint me String (ValueOrigin v)], me)
257+typeConstraints _ v@(BooleanLiteral _) = do
258+ me <- fresh
259+ return ([TypeConstraint me Boolean (ValueOrigin v)], me)
260+typeConstraints m v@(ArrayLiteral vals) = do
261+ all <- mapM (typeConstraints m) vals
262+ let (cs, ns) = (concat . map fst &&& map snd) all
263+ me <- fresh
264+ return (cs ++ zipWith (\n el -> TypeConstraint me (Array $ TUnknown n) (ValueOrigin el)) ns vals, me)
265+typeConstraints m u@(Unary op val) = do
266+ (cs, n1) <- typeConstraints m val
267+ me <- fresh
268+ return (cs ++ unaryOperatorConstraints u op n1 me, me)
269+typeConstraints m b@(Binary op left right) = do
270+ (cs1, n1) <- typeConstraints m left
271+ (cs2, n2) <- typeConstraints m right
272+ me <- fresh
273+ return (cs1 ++ cs2 ++ binaryOperatorConstraints b op n1 n2 me, me)
274+typeConstraints m v@(ObjectLiteral ps) = do
275+ ensureNoDuplicateProperties ps
276+ all <- mapM (typeConstraints m . snd) ps
277+ let (cs, ns) = (concat . map fst &&& map snd) all
278+ me <- fresh
279+ let tys = zipWith (\(name, _) u -> (name, TUnknown u)) ps ns
280+ return ((TypeConstraint me (Object (typesToRow tys)) (ValueOrigin v)) : cs, me)
281+typeConstraints m v@(ObjectUpdate o ps) = do
282+ ensureNoDuplicateProperties ps
283+ (cs1, n1) <- typeConstraints m o
284+ all <- mapM (typeConstraints m . snd) ps
285+ let (cs2, ns) = (concat . map fst &&& map snd) all
286+ row <- fresh
287+ let tys = zipWith (\(name, _) u -> (name, TUnknown u)) ps ns
288+ return (TypeConstraint n1 (Object (rowFromList (tys, RUnknown row))) (ValueOrigin v) : cs1 ++ cs2, n1)
289+typeConstraints m v@(Indexer index val) = do
290+ (cs1, n1) <- typeConstraints m index
291+ (cs2, n2) <- typeConstraints m val
292+ me <- fresh
293+ return ((TypeConstraint n1 Number (ValueOrigin index)) : (TypeConstraint n2 (Array (TUnknown me)) (ValueOrigin v)) : cs1 ++ cs2, me)
294+typeConstraints m v@(Accessor prop val) = do
295+ (cs, n1) <- typeConstraints m val
296+ me <- fresh
297+ rest <- fresh
298+ return ((TypeConstraint n1 (Object (RCons prop (TUnknown me) (RUnknown rest))) (ValueOrigin v)) : cs, me)
299+typeConstraints m v@(Abs args ret) = do
300+ ns <- replicateM (length args) fresh
301+ let m' = m `M.union` M.fromList (zipWith (,) args ns)
302+ (cs, n') <- typeConstraints m' ret
303+ me <- fresh
304+ return ((TypeConstraint me (Function (map TUnknown ns) (TUnknown n')) (ValueOrigin v)) : cs, me)
305+typeConstraints m v@(App f xs) = do
306+ (cs1, n1) <- typeConstraints m f
307+ all <- mapM (typeConstraints m) xs
308+ let (cs2, ns) = (concat . map fst &&& map snd) all
309+ me <- fresh
310+ return ((TypeConstraint n1 (Function (map TUnknown ns) (TUnknown me)) (ValueOrigin v)) : cs1 ++ cs2, me)
311+typeConstraints m v@(Var var) =
312+ case M.lookup var m of
313+ Nothing -> do
314+ env <- getEnv
315+ case M.lookup var (names env) of
316+ Nothing -> throwError $ show var ++ " is undefined"
317+ Just (PolyType idents ty, _) -> do
318+ me <- fresh
319+ replaced <- replaceVarsWithUnknowns idents ty
320+ return ([TypeConstraint me replaced (ValueOrigin v)], me)
321+ Just u -> do
322+ me <- fresh
323+ return ([TypeConstraint u (TUnknown me) (ValueOrigin v)], me)
324+typeConstraints m (Block ss) = do
325+ ret <- fresh
326+ (cs, allCodePathsReturn, _) <- typeConstraintsForBlock m M.empty ret ss
327+ guardWith "Block is missing a return statement" allCodePathsReturn
328+ return (cs, ret)
329+typeConstraints m v@(Constructor c) = do
330+ env <- getEnv
331+ case M.lookup c (dataConstructors env) of
332+ Nothing -> throwError $ "Constructor " ++ c ++ " is undefined"
333+ Just (PolyType idents ty) -> do
334+ me <- fresh
335+ replaced <- replaceVarsWithUnknowns idents ty
336+ return ([TypeConstraint me replaced (ValueOrigin v)], me)
337+typeConstraints m (Case val binders) = do
338+ (cs1, n1) <- typeConstraints m val
339+ ret <- fresh
340+ cs2 <- typeConstraintsForBinders m n1 ret binders
341+ return (cs1 ++ cs2, ret)
342+typeConstraints m v@(IfThenElse cond th el) = do
343+ (cs1, n1) <- typeConstraints m cond
344+ (cs2, n2) <- typeConstraints m th
345+ (cs3, n3) <- typeConstraints m el
346+ return (TypeConstraint n1 Boolean (ValueOrigin cond) : TypeConstraint n2 (TUnknown n3) (ValueOrigin v) : cs1 ++ cs2 ++ cs3, n2)
347+typeConstraints m v@(TypedValue val poly@(PolyType idents ty)) = do
348+ kind <- kindOf poly
349+ guardWith ("Expected type of kind *, was " ++ prettyPrintKind kind) $ kind == Star
350+ (cs, n1) <- typeConstraints m val
351+ return (TypeConstraint n1 ty (ValueOrigin v) : cs, n1)
352+
353+unaryOperatorConstraints :: Value -> UnaryOperator -> Int -> Int -> [TypeConstraint]
354+unaryOperatorConstraints v Negate val result = [TypeConstraint val Number (ValueOrigin v), TypeConstraint result Number (ValueOrigin v)]
355+unaryOperatorConstraints v Not val result = [TypeConstraint val Boolean (ValueOrigin v), TypeConstraint result Boolean (ValueOrigin v)]
356+unaryOperatorConstraints v BitwiseNot val result = [TypeConstraint val Number (ValueOrigin v), TypeConstraint result Number (ValueOrigin v)]
357+
358+binaryOperatorConstraints :: Value -> BinaryOperator -> Int -> Int -> Int -> [TypeConstraint]
359+binaryOperatorConstraints v Add = symBinOpConstraints v Number
360+binaryOperatorConstraints v Subtract = symBinOpConstraints v Number
361+binaryOperatorConstraints v Multiply = symBinOpConstraints v Number
362+binaryOperatorConstraints v Divide = symBinOpConstraints v Number
363+binaryOperatorConstraints v Modulus = symBinOpConstraints v Number
364+binaryOperatorConstraints v LessThan = asymBinOpConstraints v Number Boolean
365+binaryOperatorConstraints v LessThanOrEqualTo = asymBinOpConstraints v Number Boolean
366+binaryOperatorConstraints v GreaterThan = asymBinOpConstraints v Number Boolean
367+binaryOperatorConstraints v GreaterThanOrEqualTo = asymBinOpConstraints v Number Boolean
368+binaryOperatorConstraints v BitwiseAnd = symBinOpConstraints v Number
369+binaryOperatorConstraints v BitwiseOr = symBinOpConstraints v Number
370+binaryOperatorConstraints v BitwiseXor = symBinOpConstraints v Number
371+binaryOperatorConstraints v ShiftLeft = symBinOpConstraints v Number
372+binaryOperatorConstraints v ShiftRight = symBinOpConstraints v Number
373+binaryOperatorConstraints v ZeroFillShiftRight = symBinOpConstraints v Number
374+binaryOperatorConstraints v EqualTo = equalityBinOpConstraints v
375+binaryOperatorConstraints v NotEqualTo = equalityBinOpConstraints v
376+binaryOperatorConstraints v And = symBinOpConstraints v Boolean
377+binaryOperatorConstraints v Or = symBinOpConstraints v Boolean
378+binaryOperatorConstraints v Concat = symBinOpConstraints v String
379+
380+equalityBinOpConstraints :: Value -> Int -> Int -> Int -> [TypeConstraint]
381+equalityBinOpConstraints v left right result = [TypeConstraint left (TUnknown right) (ValueOrigin v), TypeConstraint result Boolean (ValueOrigin v)]
382+
383+symBinOpConstraints :: Value -> Type -> Int -> Int -> Int -> [TypeConstraint]
384+symBinOpConstraints v ty left right result = asymBinOpConstraints v ty ty left right result
385+
386+asymBinOpConstraints :: Value -> Type -> Type -> Int -> Int -> Int -> [TypeConstraint]
387+asymBinOpConstraints v ty res left right result = [TypeConstraint left ty (ValueOrigin v), TypeConstraint right ty (ValueOrigin v), TypeConstraint result res (ValueOrigin v)]
388+
389+typeConstraintsForBinder :: Int -> Binder -> Check ([TypeConstraint], M.Map Ident Int)
390+typeConstraintsForBinder _ NullBinder = return ([], M.empty)
391+typeConstraintsForBinder val b@(StringBinder _) = constantBinder b val String
392+typeConstraintsForBinder val b@(NumberBinder _) = constantBinder b val Number
393+typeConstraintsForBinder val b@(BooleanBinder _) = constantBinder b val Boolean
394+typeConstraintsForBinder val b@(VarBinder name) = do
395+ me <- fresh
396+ return ([TypeConstraint me (TUnknown val) (BinderOrigin b)], M.singleton name me)
397+typeConstraintsForBinder val b@(NullaryBinder ctor) = do
398+ env <- getEnv
399+ case M.lookup ctor (dataConstructors env) of
400+ Just (PolyType args ret) -> do
401+ ret' <- replaceVarsWithUnknowns args ret
402+ return ([TypeConstraint val ret' (BinderOrigin b)], M.empty)
403+ _ -> throwError $ "Constructor " ++ ctor ++ " is not defined"
404+typeConstraintsForBinder val b@(UnaryBinder ctor binder) = do
405+ env <- getEnv
406+ case M.lookup ctor (dataConstructors env) of
407+ Just (PolyType idents f@(Function [_] _)) -> do
408+ obj <- fresh
409+ (Function [ty] ret) <- replaceVarsWithUnknowns idents f
410+ (cs, m1) <- typeConstraintsForBinder obj binder
411+ return ((TypeConstraint val ret (BinderOrigin b)) : (TypeConstraint obj ty (BinderOrigin b)) : cs, m1)
412+ Just _ -> throwError $ ctor ++ " is not a unary constructor"
413+ _ -> throwError $ "Constructor " ++ ctor ++ " is not defined"
414+typeConstraintsForBinder val b@(ObjectBinder props) = do
415+ row <- fresh
416+ rest <- fresh
417+ (cs, m1) <- typeConstraintsForProperties row (RUnknown rest) props
418+ return ((TypeConstraint val (Object (RUnknown row)) (BinderOrigin b)) : cs, m1)
419+ where
420+ typeConstraintsForProperties :: Int -> Row -> [(String, Binder)] -> Check ([TypeConstraint], M.Map Ident Int)
421+ typeConstraintsForProperties nrow row [] = return ([RowConstraint nrow row (BinderOrigin b)], M.empty)
422+ typeConstraintsForProperties nrow row ((name, binder):binders) = do
423+ propTy <- fresh
424+ (cs1, m1) <- typeConstraintsForBinder propTy binder
425+ (cs2, m2) <- typeConstraintsForProperties nrow (RCons name (TUnknown propTy) row) binders
426+ return (cs1 ++ cs2, M.union m1 m2)
427+typeConstraintsForBinder val b@(ArrayBinder binders rest) = do
428+ el <- fresh
429+ all <- mapM (typeConstraintsForBinder el) binders
430+ let (cs1, m1) = (concat . map fst &&& M.unions . map snd) all
431+ let arrayConstraint = TypeConstraint val (Array (TUnknown el)) (BinderOrigin b)
432+ case rest of
433+ Nothing -> return (arrayConstraint : cs1, m1)
434+ Just binder -> do
435+ (cs2, m2) <- typeConstraintsForBinder val binder
436+ return (arrayConstraint : cs1 ++ cs2, M.union m1 m2)
437+typeConstraintsForBinder val b@(NamedBinder name binder) = do
438+ me <- fresh
439+ (cs, m) <- typeConstraintsForBinder val binder
440+ return (TypeConstraint me (TUnknown val) (BinderOrigin b) : cs, M.insert name me m)
441+typeConstraintsForBinder val b@(GuardedBinder cond binder) = do
442+ (cs1, m) <- typeConstraintsForBinder val binder
443+ (cs2, n) <- typeConstraints m cond
444+ return (TypeConstraint n Boolean (ValueOrigin cond) : cs1 ++ cs2, m)
445+
446+constantBinder :: Binder -> Int -> Type -> Check ([TypeConstraint], M.Map Ident Int)
447+constantBinder b val ty = return ([TypeConstraint val ty (BinderOrigin b)], M.empty)
448+
449+typeConstraintsForBinders :: M.Map Ident Int -> Int -> Int -> [(Binder, Value)] -> Check [TypeConstraint]
450+typeConstraintsForBinders _ _ _ [] = return []
451+typeConstraintsForBinders m nval ret ((binder, val):bs) = do
452+ (cs1, m1) <- typeConstraintsForBinder nval binder
453+ (cs2, n2) <- typeConstraints (M.union m m1) val
454+ cs3 <- typeConstraintsForBinders m nval ret bs
455+ return ((TypeConstraint n2 (TUnknown ret) (BinderOrigin binder)) : cs1 ++ cs2 ++ cs3)
456+
457+assignVariable :: Ident -> M.Map Ident Int -> Check ()
458+assignVariable name m =
459+ case M.lookup name m of
460+ Nothing -> return ()
461+ Just _ -> throwError $ "Variable with name " ++ show name ++ " already exists."
462+
463+typeConstraintsForStatement :: M.Map Ident Int -> M.Map Ident Int -> Int -> Statement -> Check ([TypeConstraint], Bool, M.Map Ident Int)
464+typeConstraintsForStatement m mass ret (VariableIntroduction name val) = do
465+ assignVariable name (m `M.union` mass)
466+ (cs1, n1) <- typeConstraints m val
467+ return $ (cs1, False, M.insert name n1 mass)
468+typeConstraintsForStatement m mass ret (Assignment ident val) = do
469+ (cs1, n1) <- typeConstraints m val
470+ case M.lookup ident mass of
471+ Nothing -> throwError $ "No local variable with name " ++ show ident
472+ Just ty -> do
473+ return (TypeConstraint n1 (TUnknown ty) (AssignmentTargetOrigin ident) : cs1, False, mass)
474+typeConstraintsForStatement m mass ret (While val inner) = do
475+ (cs1, n1) <- typeConstraints m val
476+ (cs2, allCodePathsReturn, _) <- typeConstraintsForBlock m mass ret inner
477+ return $ ((TypeConstraint n1 Boolean (ValueOrigin val)) : cs1 ++ cs2, allCodePathsReturn, mass)
478+typeConstraintsForStatement m mass ret (If ifst) = do
479+ (cs, allCodePathsReturn) <- typeConstraintsForIfStatement m mass ret ifst
480+ return $ (cs, allCodePathsReturn, mass)
481+typeConstraintsForStatement m mass ret (For ident start end inner) = do
482+ assignVariable ident (m `M.union` mass)
483+ (cs1, n1) <- typeConstraints (m `M.union` mass) start
484+ (cs2, n2) <- typeConstraints (m `M.union` mass) end
485+ let mass1 = M.insert ident n1 mass
486+ (cs3, allCodePathsReturn, _) <- typeConstraintsForBlock (m `M.union` mass1) mass1 ret inner
487+ return $ ((TypeConstraint n1 Number (ValueOrigin start)) : (TypeConstraint n2 Number (ValueOrigin end)) : cs1 ++ cs2 ++ cs3, allCodePathsReturn, mass)
488+typeConstraintsForStatement m mass ret (ForEach ident vals inner) = do
489+ assignVariable ident (m `M.union` mass)
490+ val <- fresh
491+ (cs1, n1) <- typeConstraints (m `M.union` mass) vals
492+ let mass1 = M.insert ident val mass
493+ (cs2, allCodePathsReturn, _) <- typeConstraintsForBlock (m `M.union` mass1) mass1 ret inner
494+ guardWith "Cannot return from within a foreach block" $ not allCodePathsReturn
495+ return $ ((TypeConstraint n1 (Array (TUnknown val)) (ValueOrigin vals)) : cs1 ++ cs2, False, mass)
496+typeConstraintsForStatement m mass ret (Return val) = do
497+ (cs1, n1) <- typeConstraints (m `M.union` mass) val
498+ return ((TypeConstraint n1 (TUnknown ret) (ValueOrigin val)) : cs1, True, mass)
499+
500+typeConstraintsForIfStatement :: M.Map Ident Int -> M.Map Ident Int -> Int -> IfStatement -> Check ([TypeConstraint], Bool)
501+typeConstraintsForIfStatement m mass ret (IfStatement val thens Nothing) = do
502+ (cs1, n1) <- typeConstraints m val
503+ (cs2, allCodePathsReturn, _) <- typeConstraintsForBlock m mass ret thens
504+ return ((TypeConstraint n1 Boolean (ValueOrigin val)) : cs1 ++ cs2, allCodePathsReturn)
505+typeConstraintsForIfStatement m mass ret (IfStatement val thens (Just elses)) = do
506+ (cs1, n1) <- typeConstraints m val
507+ (cs2, allCodePathsReturn1, _) <- typeConstraintsForBlock m mass ret thens
508+ (cs3, allCodePathsReturn2) <- typeConstraintsForElseStatement m mass ret elses
509+ return ((TypeConstraint n1 Boolean (ValueOrigin val)) : cs1 ++ cs2 ++ cs3, allCodePathsReturn1 && allCodePathsReturn2)
510+
511+typeConstraintsForElseStatement :: M.Map Ident Int -> M.Map Ident Int -> Int -> ElseStatement -> Check ([TypeConstraint], Bool)
512+typeConstraintsForElseStatement m mass ret (Else elses) = do
513+ (cs, allCodePathsReturn, _) <- typeConstraintsForBlock m mass ret elses
514+ return (cs, allCodePathsReturn)
515+typeConstraintsForElseStatement m mass ret (ElseIf ifst) = do
516+ (cs, allCodePathsReturn) <- typeConstraintsForIfStatement m mass ret ifst
517+ return (cs, allCodePathsReturn)
518+
519+typeConstraintsForBlock :: M.Map Ident Int -> M.Map Ident Int -> Int -> [Statement] -> Check ([TypeConstraint], Bool, M.Map Ident Int)
520+typeConstraintsForBlock _ mass _ [] = return ([], False, mass)
521+typeConstraintsForBlock m mass ret (s:ss) = do
522+ (cs1, b1, mass1) <- typeConstraintsForStatement (m `M.union` mass) mass ret s
523+ case (b1, ss) of
524+ (True, []) -> return (cs1, True, mass1)
525+ (True, _) -> throwError "Unreachable code"
526+ (False, ss) -> do
527+ (cs2, b2, mass2) <- typeConstraintsForBlock m mass1 ret ss
528+ return (cs1 ++ cs2, b2, mass2)
529+
530+solveTypeConstraints :: [TypeConstraint] -> TypeSolution -> Check TypeSolution
531+solveTypeConstraints [] s = return s
532+solveTypeConstraints all@(TypeConstraint n t o:cs) s = do
533+ (cs', s') <- rethrow (\err -> "Error in " ++ prettyPrintOrigin o ++ ": " ++ err) $ do
534+ typeOccursCheck n t
535+ let s' = let (f, g) = runTypeSolution s
536+ in TypeSolution (replaceType n t . f, replaceType n t . g)
537+ cs' <- fmap concat $ mapM (substituteTypeInConstraint n t) cs
538+ return (cs', s')
539+ solveTypeConstraints cs' s'
540+solveTypeConstraints (RowConstraint n r o:cs) s = do
541+ (cs', s') <- rethrow (\err -> "Error in " ++ prettyPrintOrigin o ++ ": " ++ err) $ do
542+ rowOccursCheck n r
543+ let s' = let (f, g) = runTypeSolution s
544+ in TypeSolution $ (replaceRow n r . f, replaceRow n r . g)
545+ cs' <- fmap concat $ mapM (substituteRowInConstraint n r) cs
546+ return (cs', s')
547+ solveTypeConstraints cs' s'
548+
549+substituteTypeInConstraint :: Int -> Type -> TypeConstraint -> Check [TypeConstraint]
550+substituteTypeInConstraint n s (TypeConstraint m t v)
551+ | n == m = unifyTypes v s t
552+ | otherwise = return [TypeConstraint m (replaceType n s t) v]
553+substituteTypeInConstraint n s (RowConstraint m r v)
554+ = return [RowConstraint m (replaceType n s r) v]
555+
556+substituteRowInConstraint :: Int -> Row -> TypeConstraint -> Check [TypeConstraint]
557+substituteRowInConstraint n r (TypeConstraint m t v)
558+ = return [TypeConstraint m (replaceRow n r t) v]
559+substituteRowInConstraint n r (RowConstraint m r1 v)
560+ | m == n = unifyRows v r r1
561+ | otherwise = return [RowConstraint m (replaceRow n r r1) v]
562+
563+unifyTypes :: TypeConstraintOrigin -> Type -> Type -> Check [TypeConstraint]
564+unifyTypes _ (TUnknown u1) (TUnknown u2) | u1 == u2 = return []
565+unifyTypes o (TUnknown u) t = do
566+ typeOccursCheck u t
567+ return [TypeConstraint u t o]
568+unifyTypes o t (TUnknown u) = do
569+ typeOccursCheck u t
570+ return [TypeConstraint u t o]
571+unifyTypes o (SaturatedTypeSynonym name1 args1) (SaturatedTypeSynonym name2 args2) | name1 == name2 =
572+ fmap concat $ zipWithM (unifyTypes o) args1 args2
573+unifyTypes o (SaturatedTypeSynonym name args) ty = do
574+ env <- getEnv
575+ case M.lookup name (typeSynonyms env) of
576+ Just (synArgs, body) -> do
577+ let m = M.fromList $ zip synArgs args
578+ let replaced = replaceTypeVars m body
579+ unifyTypes o replaced ty
580+ Nothing -> error "Type synonym was not defined"
581+unifyTypes o ty s@(SaturatedTypeSynonym _ _) = unifyTypes o s ty
582+unifyTypes _ Number Number = return []
583+unifyTypes _ String String = return []
584+unifyTypes _ Boolean Boolean = return []
585+unifyTypes o (Array s) (Array t) = unifyTypes o s t
586+unifyTypes o (Object row1) (Object row2) = unifyRows o row1 row2
587+unifyTypes o (Function args1 ret1) (Function args2 ret2) = do
588+ guardWith "Function applied to incorrect number of args" $ length args1 == length args2
589+ cs1 <- fmap concat $ zipWithM (unifyTypes o) args1 args2
590+ cs2 <- unifyTypes o ret1 ret2
591+ return $ cs1 ++ cs2
592+unifyTypes _ (TypeVar v1) (TypeVar v2) | v1 == v2 = return []
593+unifyTypes _ (TypeConstructor c1) (TypeConstructor c2) | c1 == c2 = return []
594+unifyTypes o (TypeApp t1 t2) (TypeApp t3 t4) = do
595+ cs1 <- unifyTypes o t1 t3
596+ cs2 <- unifyTypes o t2 t4
597+ return $ cs1 ++ cs2
598+unifyTypes _ t1 t2 = throwError $ "Cannot unify " ++ prettyPrintType t1 ++ " with " ++ prettyPrintType t2 ++ "."
599+
600+unifyRows :: TypeConstraintOrigin -> Row -> Row -> Check [TypeConstraint]
601+unifyRows o r1 r2 =
602+ let
603+ (s1, r1') = rowToList r1
604+ (s2, r2') = rowToList r2
605+ int = [ (t1, t2) | (name, t1) <- s1, (name', t2) <- s2, name == name' ]
606+ sd1 = [ (name, t1) | (name, t1) <- s1, not (elem name (map fst s2)) ]
607+ sd2 = [ (name, t2) | (name, t2) <- s2, not (elem name (map fst s1)) ]
608+ in do
609+ cs1 <- fmap concat $ mapM (uncurry $ unifyTypes o) int
610+ cs2 <- unifyRows' o sd1 r1' sd2 r2'
611+ return $ cs1 ++ cs2
612+ where
613+ unifyRows' :: TypeConstraintOrigin -> [(String, Type)] -> Row -> [(String, Type)] -> Row -> Check [TypeConstraint]
614+ unifyRows' o [] (RUnknown u) sd r = do
615+ rowOccursCheck u r
616+ return [RowConstraint u (rowFromList (sd, r)) o]
617+ unifyRows' o sd r [] (RUnknown u) = do
618+ rowOccursCheck u r
619+ return [RowConstraint u (rowFromList (sd, r)) o]
620+ unifyRows' o ns@((name, ty):row) r others (RUnknown u) | not (occursCheck u (ty, row)) = do
621+ u' <- fresh
622+ cs <- unifyRows' o row r others (RUnknown u')
623+ return (RowConstraint u (RCons name ty (RUnknown u')) o : cs)
624+ unifyRows' _ [] REmpty [] REmpty = return []
625+ unifyRows' _ [] (RowVar v1) [] (RowVar v2) | v1 == v2 = return []
626+ unifyRows' _ sd1 r1 sd2 r2 = throwError $ "Cannot unify " ++ prettyPrintRow (rowFromList (sd1, r1)) ++ " with " ++ prettyPrintRow (rowFromList (sd2, r2)) ++ "."