@@ -1,595 +0,0 @@
1−-----------------------------------------------------------------------------
3−-- Module : PureScript.TypeChecker.Types
4−-- Copyright : (c) Phil Freeman 2013
7−-- Maintainer : Phil Freeman <paf31@cantab.net>
8−-- Stability : experimental
13−-----------------------------------------------------------------------------
15−{-# LANGUAGE DeriveDataTypeable #-}
17−module PureScript.TypeChecker.Types (
25−import qualified Data.Data as D
26−import Data.Generics (everywhere, everywhereM, everything, mkT, mkM, mkQ, extM, extQ)
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−import PureScript.CodeGen.Pretty.Values
39−import Control.Monad.State
40−import Control.Monad.Error
42−import Control.Applicative
43−import Control.Arrow (Kleisli(..), (***), (&&&))
44−import qualified Control.Category as C
46−import qualified Data.Map as M
48−data TypeConstraintOrigin
50− | BinderOrigin Binder
51− | AssignmentTargetOrigin Ident deriving (Show, D.Data, D.Typeable)
53−prettyPrintOrigin :: TypeConstraintOrigin -> String
54−prettyPrintOrigin (ValueOrigin val) = prettyPrintValue val
55−prettyPrintOrigin (BinderOrigin binder) = prettyPrintBinder binder
56−prettyPrintOrigin (AssignmentTargetOrigin ident) = show ident
59− = TypeConstraint Int Type TypeConstraintOrigin
60− | RowConstraint Int Row TypeConstraintOrigin deriving (Show, D.Data, D.Typeable)
62−newtype TypeSolution = TypeSolution { runTypeSolution :: (Int -> Type, Int -> Row) }
64−emptyTypeSolution :: TypeSolution
65−emptyTypeSolution = TypeSolution (TUnknown, RUnknown)
67−typeOf :: Ident -> Value -> Check PolyType
69− (cs, n) <- case val of
72− (cs, n) <- typeConstraints (M.singleton name me) val
73− return (TypeConstraint me (TUnknown n) (ValueOrigin val): cs, n)
74− _ -> typeConstraints M.empty val
75− desugared <- replaceAllTypeSynonyms cs
76− solution <- solveTypeConstraints desugared emptyTypeSolution
77− let ty = fst (runTypeSolution solution) n
78− allUnknownsBecameQuantified desugared solution ty
79− return $ varIfUnknown $ desaturateAllTypeSynonyms ty
81−allUnknownsBecameQuantified :: [TypeConstraint] -> TypeSolution -> Type -> Check ()
82−allUnknownsBecameQuantified cs solution ty = do
84− typesMentioned = findUnknownTypes ty
85− unknownTypes = nub $ flip concatMap cs $ \c -> case c of
86− TypeConstraint u t _ -> u : findUnknownTypes t
87− RowConstraint _ r _ -> findUnknownTypes r
88− unsolvedTypes = filter (\n -> TUnknown n == fst (runTypeSolution solution) n) unknownTypes
89− guardWith "Unsolved type variable" $ null $ unsolvedTypes \\ typesMentioned
91− rowsMentioned = findUnknownRows ty
92− unknownRows = nub $ flip concatMap cs $ \c -> case c of
93− TypeConstraint _ t _ -> findUnknownRows t
94− RowConstraint u r _ -> u : findUnknownRows r
95− unsolvedRows = filter (\n -> RUnknown n == snd (runTypeSolution solution) n) unknownRows
96− guardWith "Unsolved row variable" $ null $ unsolvedRows \\ rowsMentioned
98−findUnknownTypes :: (D.Data d) => d -> [Int]
99−findUnknownTypes = everything (++) (mkQ [] f)
102− f (TUnknown n) = [n]
105−findTypeVars :: (D.Data d) => d -> [String]
106−findTypeVars = everything (++) (mkQ [] f)
108− f :: Type -> [String]
112−findUnknownRows :: (D.Data d) => d -> [Int]
113−findUnknownRows = everything (++) (mkQ [] f)
116− f (RUnknown n) = [n]
119−varIfUnknown :: Type -> PolyType
122− (ty', m) = flip runState M.empty $ everywhereM (flip extM g $ mkM f) ty
124− PolyType (sort $ nub $ M.elems m ++ findTypeVars ty) ty'
126− f :: Type -> State (M.Map Int String) Type
129− case M.lookup n m of
131− let name = "t" ++ show (M.size m)
132− put $ M.insert n name m
133− return $ TypeVar name
134− Just name -> return $ TypeVar name
136− g :: Row -> State (M.Map Int String) Row
139− case M.lookup n m of
141− let name = "r" ++ show (M.size m)
142− put $ M.insert n name m
143− return $ RowVar name
144− Just name -> return $ RowVar name
147−replaceTypeVars :: M.Map String Type -> Type -> Type
148−replaceTypeVars m = everywhere (mkT replace)
150− replace (TypeVar v) = case M.lookup v m of
155−replaceVarsWithUnknowns :: [String] -> Type -> Check Type
156−replaceVarsWithUnknowns idents = flip evalStateT M.empty . everywhereM (flip extM f $ mkM g)
158− f :: Type -> StateT (M.Map String Int) Check Type
159− f (TypeVar var) | var `elem` idents = do
162− case M.lookup var m of
164− put (M.insert var n m)
166− Just u -> return $ TUnknown u
168− g :: Row -> StateT (M.Map String Int) Check Row
169− g (RowVar var) | var `elem` idents = do
172− case M.lookup var m of
174− put (M.insert var n m)
176− Just u -> return $ RUnknown u
179−replaceAllTypeSynonyms :: (D.Data d) => d -> Check d
180−replaceAllTypeSynonyms d = do
182− let syns = map (\(name, (args, _)) -> (name, length args)) . M.toList $ typeSynonyms env
183− either throwError return $ saturateAllTypeSynonyms syns d
185−desaturateAllTypeSynonyms :: (D.Data d) => d -> d
186−desaturateAllTypeSynonyms = everywhere (mkT $ replace)
188− replace (SaturatedTypeSynonym name args) = foldl (\t arg -> TypeApp t arg) (TypeConstructor name) args
191−replaceType :: (D.Data d) => Int -> Type -> d -> d
192−replaceType n t = everywhere (mkT go)
194− go (TUnknown m) | m == n = t
197−replaceRow :: (D.Data d) => Int -> Row -> d -> d
198−replaceRow n r = everywhere (mkT go)
200− go (RUnknown m) | m == n = r
203−typeOccursCheck :: Int -> Type -> Check ()
204−typeOccursCheck u (TUnknown _) = return ()
205−typeOccursCheck u t = when (occursCheck u t) $ throwError $ "Occurs check failed: " ++ show u ++ " = " ++ prettyPrintType t
207−rowOccursCheck :: Int -> Row -> Check ()
208−rowOccursCheck u (RUnknown _) = return ()
209−rowOccursCheck u r = when (occursCheck u r) $ throwError $ "Occurs check failed: " ++ show u ++ " = " ++ prettyPrintRow r
211−occursCheck :: (D.Data d) => Int -> d -> Bool
212−occursCheck u = everything (||) $ flip extQ g $ mkQ False f
214− f (TUnknown u') | u' == u = True
216− g (RUnknown u') | u' == u = True
219−typeConstraints :: M.Map Ident Int -> Value -> Check ([TypeConstraint], Int)
220−typeConstraints _ v@(NumericLiteral _) = do
222− return ([TypeConstraint me Number (ValueOrigin v)], me)
223−typeConstraints _ v@(StringLiteral _) = do
225− return ([TypeConstraint me String (ValueOrigin v)], me)
226−typeConstraints _ v@(BooleanLiteral _) = do
228− return ([TypeConstraint me Boolean (ValueOrigin v)], me)
229−typeConstraints m v@(ArrayLiteral vals) = do
230− all <- mapM (typeConstraints m) vals
231− let (cs, ns) = (concat . map fst &&& map snd) all
233− return (cs ++ zipWith (\n el -> TypeConstraint me (Array $ TUnknown n) (ValueOrigin el)) ns vals, me)
234−typeConstraints m u@(Unary op val) = do
235− (cs, n1) <- typeConstraints m val
237− return (cs ++ unaryOperatorConstraints u op n1 me, me)
238−typeConstraints m b@(Binary op left right) = do
239− (cs1, n1) <- typeConstraints m left
240− (cs2, n2) <- typeConstraints m right
242− return (cs1 ++ cs2 ++ binaryOperatorConstraints b op n1 n2 me, me)
243−typeConstraints m v@(ObjectLiteral ps) = do
244− all <- mapM (typeConstraints m . snd) ps
245− let (cs, ns) = (concat . map fst &&& map snd) all
247− let tys = zipWith (\(name, _) u -> (name, TUnknown u)) ps ns
248− return ((TypeConstraint me (Object (typesToRow tys)) (ValueOrigin v)) : cs, me)
250− typesToRow [] = REmpty
251− typesToRow ((name, ty):tys) = RCons name ty (typesToRow tys)
252−typeConstraints m v@(Indexer index val) = do
253− (cs1, n1) <- typeConstraints m index
254− (cs2, n2) <- typeConstraints m val
256− return ((TypeConstraint n1 Number (ValueOrigin index)) : (TypeConstraint n2 (Array (TUnknown me)) (ValueOrigin v)) : cs1 ++ cs2, me)
257−typeConstraints m v@(Accessor prop val) = do
258− (cs, n1) <- typeConstraints m val
261− return ((TypeConstraint n1 (Object (RCons prop (TUnknown me) (RUnknown rest))) (ValueOrigin v)) : cs, me)
262−typeConstraints m v@(Abs args ret) = do
263− ns <- replicateM (length args) fresh
264− let m' = m `M.union` M.fromList (zipWith (,) args ns)
265− (cs, n') <- typeConstraints m' ret
267− return ((TypeConstraint me (Function (map TUnknown ns) (TUnknown n')) (ValueOrigin v)) : cs, me)
268−typeConstraints m v@(App f xs) = do
269− (cs1, n1) <- typeConstraints m f
270− all <- mapM (typeConstraints m) xs
271− let (cs2, ns) = (concat . map fst &&& map snd) all
273− return ((TypeConstraint n1 (Function (map TUnknown ns) (TUnknown me)) (ValueOrigin v)) : cs1 ++ cs2, me)
274−typeConstraints m v@(Var var) =
275− case M.lookup var m of
278− case M.lookup var (names env) of
279− Nothing -> throwError $ show var ++ " is undefined"
280− Just (PolyType idents ty, _) -> do
282− replaced <- replaceVarsWithUnknowns idents ty
283− return ([TypeConstraint me replaced (ValueOrigin v)], me)
286− return ([TypeConstraint u (TUnknown me) (ValueOrigin v)], me)
287−typeConstraints m (Block ss) = do
289− (cs, allCodePathsReturn, _) <- typeConstraintsForBlock m M.empty ret ss
290− guardWith "Block is missing a return statement" allCodePathsReturn
292−typeConstraints m v@(Constructor c) = do
294− case M.lookup c (dataConstructors env) of
295− Nothing -> throwError $ "Constructor " ++ c ++ " is undefined"
296− Just (PolyType idents ty) -> do
298− replaced <- replaceVarsWithUnknowns idents ty
299− return ([TypeConstraint me replaced (ValueOrigin v)], me)
300−typeConstraints m (Case val binders) = do
301− (cs1, n1) <- typeConstraints m val
303− cs2 <- typeConstraintsForBinders m n1 ret binders
304− return (cs1 ++ cs2, ret)
305−typeConstraints m v@(IfThenElse cond th el) = do
306− (cs1, n1) <- typeConstraints m cond
307− (cs2, n2) <- typeConstraints m th
308− (cs3, n3) <- typeConstraints m el
309− return (TypeConstraint n1 Boolean (ValueOrigin cond) : TypeConstraint n2 (TUnknown n3) (ValueOrigin v) : cs1 ++ cs2 ++ cs3, n2)
310−typeConstraints m v@(TypedValue val poly@(PolyType idents ty)) = do
312− guardWith ("Expected type of kind *, was " ++ prettyPrintKind kind) $ kind == Star
313− (cs, n1) <- typeConstraints m val
314− return (TypeConstraint n1 ty (ValueOrigin v) : cs, n1)
316−unaryOperatorConstraints :: Value -> UnaryOperator -> Int -> Int -> [TypeConstraint]
317−unaryOperatorConstraints v Negate val result = [TypeConstraint val Number (ValueOrigin v), TypeConstraint result Number (ValueOrigin v)]
318−unaryOperatorConstraints v Not val result = [TypeConstraint val Boolean (ValueOrigin v), TypeConstraint result Boolean (ValueOrigin v)]
319−unaryOperatorConstraints v BitwiseNot val result = [TypeConstraint val Number (ValueOrigin v), TypeConstraint result Number (ValueOrigin v)]
321−binaryOperatorConstraints :: Value -> BinaryOperator -> Int -> Int -> Int -> [TypeConstraint]
322−binaryOperatorConstraints v Add = symBinOpConstraints v Number
323−binaryOperatorConstraints v Subtract = symBinOpConstraints v Number
324−binaryOperatorConstraints v Multiply = symBinOpConstraints v Number
325−binaryOperatorConstraints v Divide = symBinOpConstraints v Number
326−binaryOperatorConstraints v Modulus = symBinOpConstraints v Number
327−binaryOperatorConstraints v LessThan = asymBinOpConstraints v Number Boolean
328−binaryOperatorConstraints v LessThanOrEqualTo = asymBinOpConstraints v Number Boolean
329−binaryOperatorConstraints v GreaterThan = asymBinOpConstraints v Number Boolean
330−binaryOperatorConstraints v GreaterThanOrEqualTo = asymBinOpConstraints v Number Boolean
331−binaryOperatorConstraints v BitwiseAnd = symBinOpConstraints v Number
332−binaryOperatorConstraints v BitwiseOr = symBinOpConstraints v Number
333−binaryOperatorConstraints v BitwiseXor = symBinOpConstraints v Number
334−binaryOperatorConstraints v ShiftLeft = symBinOpConstraints v Number
335−binaryOperatorConstraints v ShiftRight = symBinOpConstraints v Number
336−binaryOperatorConstraints v ZeroFillShiftRight = symBinOpConstraints v Number
337−binaryOperatorConstraints v EqualTo = equalityBinOpConstraints v
338−binaryOperatorConstraints v NotEqualTo = equalityBinOpConstraints v
339−binaryOperatorConstraints v And = symBinOpConstraints v Boolean
340−binaryOperatorConstraints v Or = symBinOpConstraints v Boolean
341−binaryOperatorConstraints v Concat = symBinOpConstraints v String
343−equalityBinOpConstraints :: Value -> Int -> Int -> Int -> [TypeConstraint]
344−equalityBinOpConstraints v left right result = [TypeConstraint left (TUnknown right) (ValueOrigin v), TypeConstraint result Boolean (ValueOrigin v)]
346−symBinOpConstraints :: Value -> Type -> Int -> Int -> Int -> [TypeConstraint]
347−symBinOpConstraints v ty left right result = asymBinOpConstraints v ty ty left right result
349−asymBinOpConstraints :: Value -> Type -> Type -> Int -> Int -> Int -> [TypeConstraint]
350−asymBinOpConstraints v ty res left right result = [TypeConstraint left ty (ValueOrigin v), TypeConstraint right ty (ValueOrigin v), TypeConstraint result res (ValueOrigin v)]
352−typeConstraintsForBinder :: Int -> Binder -> Check ([TypeConstraint], M.Map Ident Int)
353−typeConstraintsForBinder _ NullBinder = return ([], M.empty)
354−typeConstraintsForBinder val b@(StringBinder _) = constantBinder b val String
355−typeConstraintsForBinder val b@(NumberBinder _) = constantBinder b val Number
356−typeConstraintsForBinder val b@(BooleanBinder _) = constantBinder b val Boolean
357−typeConstraintsForBinder val b@(VarBinder name) = do
359− return ([TypeConstraint me (TUnknown val) (BinderOrigin b)], M.singleton name me)
360−typeConstraintsForBinder val b@(NullaryBinder ctor) = do
362− case M.lookup ctor (dataConstructors env) of
363− Just (PolyType args ret) -> do
364− ret' <- replaceVarsWithUnknowns args ret
365− return ([TypeConstraint val ret' (BinderOrigin b)], M.empty)
366− _ -> throwError $ "Constructor " ++ ctor ++ " is not defined"
367−typeConstraintsForBinder val b@(UnaryBinder ctor binder) = do
369− case M.lookup ctor (dataConstructors env) of
370− Just (PolyType idents f@(Function [_] _)) -> do
372− (Function [ty] ret) <- replaceVarsWithUnknowns idents f
373− (cs, m1) <- typeConstraintsForBinder obj binder
374− return ((TypeConstraint val ret (BinderOrigin b)) : (TypeConstraint obj ty (BinderOrigin b)) : cs, m1)
375− Just _ -> throwError $ ctor ++ " is not a unary constructor"
376− _ -> throwError $ "Constructor " ++ ctor ++ " is not defined"
377−typeConstraintsForBinder val b@(ObjectBinder props) = do
380− (cs, m1) <- typeConstraintsForProperties row (RUnknown rest) props
381− return ((TypeConstraint val (Object (RUnknown row)) (BinderOrigin b)) : cs, m1)
383− typeConstraintsForProperties :: Int -> Row -> [(String, Binder)] -> Check ([TypeConstraint], M.Map Ident Int)
384− typeConstraintsForProperties nrow row [] = return ([RowConstraint nrow row (BinderOrigin b)], M.empty)
385− typeConstraintsForProperties nrow row ((name, binder):binders) = do
387− (cs1, m1) <- typeConstraintsForBinder propTy binder
388− (cs2, m2) <- typeConstraintsForProperties nrow (RCons name (TUnknown propTy) row) binders
389− return (cs1 ++ cs2, M.union m1 m2)
390−typeConstraintsForBinder val b@(ArrayBinder binders rest) = do
392− all <- mapM (typeConstraintsForBinder el) binders
393− let (cs1, m1) = (concat . map fst &&& M.unions . map snd) all
394− let arrayConstraint = TypeConstraint val (Array (TUnknown el)) (BinderOrigin b)
396− Nothing -> return (arrayConstraint : cs1, m1)
398− (cs2, m2) <- typeConstraintsForBinder val binder
399− return (arrayConstraint : cs1 ++ cs2, M.union m1 m2)
400−typeConstraintsForBinder val b@(NamedBinder name binder) = do
402− (cs, m) <- typeConstraintsForBinder val binder
403− return (TypeConstraint me (TUnknown val) (BinderOrigin b) : cs, M.insert name me m)
404−typeConstraintsForBinder val b@(GuardedBinder cond binder) = do
405− (cs1, m) <- typeConstraintsForBinder val binder
406− (cs2, n) <- typeConstraints m cond
407− return (TypeConstraint n Boolean (ValueOrigin cond) : cs1 ++ cs2, m)
409−constantBinder :: Binder -> Int -> Type -> Check ([TypeConstraint], M.Map Ident Int)
410−constantBinder b val ty = return ([TypeConstraint val ty (BinderOrigin b)], M.empty)
412−typeConstraintsForBinders :: M.Map Ident Int -> Int -> Int -> [(Binder, Value)] -> Check [TypeConstraint]
413−typeConstraintsForBinders _ _ _ [] = return []
414−typeConstraintsForBinders m nval ret ((binder, val):bs) = do
415− (cs1, m1) <- typeConstraintsForBinder nval binder
416− (cs2, n2) <- typeConstraints (M.union m m1) val
417− cs3 <- typeConstraintsForBinders m nval ret bs
418− return ((TypeConstraint n2 (TUnknown ret) (BinderOrigin binder)) : cs1 ++ cs2 ++ cs3)
420−assignVariable :: Ident -> M.Map Ident Int -> Check ()
421−assignVariable name m =
422− case M.lookup name m of
423− Nothing -> return ()
424− Just _ -> throwError $ "Variable with name " ++ show name ++ " already exists."
426−typeConstraintsForStatement :: M.Map Ident Int -> M.Map Ident Int -> Int -> Statement -> Check ([TypeConstraint], Bool, M.Map Ident Int)
427−typeConstraintsForStatement m mass ret (VariableIntroduction name val) = do
428− assignVariable name (m `M.union` mass)
429− (cs1, n1) <- typeConstraints m val
430− return $ (cs1, False, M.insert name n1 mass)
431−typeConstraintsForStatement m mass ret (Assignment ident val) = do
432− (cs1, n1) <- typeConstraints m val
433− case M.lookup ident mass of
434− Nothing -> throwError $ "No local variable with name " ++ show ident
436− return (TypeConstraint n1 (TUnknown ty) (AssignmentTargetOrigin ident) : cs1, False, mass)
437−typeConstraintsForStatement m mass ret (While val inner) = do
438− (cs1, n1) <- typeConstraints m val
439− (cs2, allCodePathsReturn, _) <- typeConstraintsForBlock m mass ret inner
440− return $ ((TypeConstraint n1 Boolean (ValueOrigin val)) : cs1 ++ cs2, allCodePathsReturn, mass)
441−typeConstraintsForStatement m mass ret (If ifst) = do
442− (cs, allCodePathsReturn) <- typeConstraintsForIfStatement m mass ret ifst
443− return $ (cs, allCodePathsReturn, mass)
444−typeConstraintsForStatement m mass ret (For ident start end inner) = do
445− assignVariable ident (m `M.union` mass)
446− (cs1, n1) <- typeConstraints (m `M.union` mass) start
447− (cs2, n2) <- typeConstraints (m `M.union` mass) end
448− let mass1 = M.insert ident n1 mass
449− (cs3, allCodePathsReturn, _) <- typeConstraintsForBlock (m `M.union` mass1) mass1 ret inner
450− return $ ((TypeConstraint n1 Number (ValueOrigin start)) : (TypeConstraint n2 Number (ValueOrigin end)) : cs1 ++ cs2 ++ cs3, allCodePathsReturn, mass)
451−typeConstraintsForStatement m mass ret (ForEach ident vals inner) = do
452− assignVariable ident (m `M.union` mass)
454− (cs1, n1) <- typeConstraints (m `M.union` mass) vals
455− let mass1 = M.insert ident val mass
456− (cs2, allCodePathsReturn, _) <- typeConstraintsForBlock (m `M.union` mass1) mass1 ret inner
457− guardWith "Cannot return from within a foreach block" $ not allCodePathsReturn
458− return $ ((TypeConstraint n1 (Array (TUnknown val)) (ValueOrigin vals)) : cs1 ++ cs2, False, mass)
459−typeConstraintsForStatement m mass ret (Return val) = do
460− (cs1, n1) <- typeConstraints (m `M.union` mass) val
461− return ((TypeConstraint n1 (TUnknown ret) (ValueOrigin val)) : cs1, True, mass)
463−typeConstraintsForIfStatement :: M.Map Ident Int -> M.Map Ident Int -> Int -> IfStatement -> Check ([TypeConstraint], Bool)
464−typeConstraintsForIfStatement m mass ret (IfStatement val thens Nothing) = do
465− (cs1, n1) <- typeConstraints m val
466− (cs2, allCodePathsReturn, _) <- typeConstraintsForBlock m mass ret thens
467− return ((TypeConstraint n1 Boolean (ValueOrigin val)) : cs1 ++ cs2, allCodePathsReturn)
468−typeConstraintsForIfStatement m mass ret (IfStatement val thens (Just elses)) = do
469− (cs1, n1) <- typeConstraints m val
470− (cs2, allCodePathsReturn1, _) <- typeConstraintsForBlock m mass ret thens
471− (cs3, allCodePathsReturn2) <- typeConstraintsForElseStatement m mass ret elses
472− return ((TypeConstraint n1 Boolean (ValueOrigin val)) : cs1 ++ cs2 ++ cs3, allCodePathsReturn1 && allCodePathsReturn2)
474−typeConstraintsForElseStatement :: M.Map Ident Int -> M.Map Ident Int -> Int -> ElseStatement -> Check ([TypeConstraint], Bool)
475−typeConstraintsForElseStatement m mass ret (Else elses) = do
476− (cs, allCodePathsReturn, _) <- typeConstraintsForBlock m mass ret elses
477− return (cs, allCodePathsReturn)
478−typeConstraintsForElseStatement m mass ret (ElseIf ifst) = do
479− (cs, allCodePathsReturn) <- typeConstraintsForIfStatement m mass ret ifst
480− return (cs, allCodePathsReturn)
482−typeConstraintsForBlock :: M.Map Ident Int -> M.Map Ident Int -> Int -> [Statement] -> Check ([TypeConstraint], Bool, M.Map Ident Int)
483−typeConstraintsForBlock _ mass _ [] = return ([], False, mass)
484−typeConstraintsForBlock m mass ret (s:ss) = do
485− (cs1, b1, mass1) <- typeConstraintsForStatement (m `M.union` mass) mass ret s
487− (True, []) -> return (cs1, True, mass1)
488− (True, _) -> throwError "Unreachable code"
490− (cs2, b2, mass2) <- typeConstraintsForBlock m mass1 ret ss
491− return (cs1 ++ cs2, b2, mass2)
493−solveTypeConstraints :: [TypeConstraint] -> TypeSolution -> Check TypeSolution
494−solveTypeConstraints [] s = return s
495−solveTypeConstraints all@(TypeConstraint n t o:cs) s = do
496− (cs', s') <- rethrow (\err -> "Error in " ++ prettyPrintOrigin o ++ ": " ++ err) $ do
498− let s' = let (f, g) = runTypeSolution s
499− in TypeSolution (replaceType n t . f, replaceType n t . g)
500− cs' <- fmap concat $ mapM (substituteTypeInConstraint n t) cs
502− solveTypeConstraints cs' s'
503−solveTypeConstraints (RowConstraint n r o:cs) s = do
504− (cs', s') <- rethrow (\err -> "Error in " ++ prettyPrintOrigin o ++ ": " ++ err) $ do
506− let s' = let (f, g) = runTypeSolution s
507− in TypeSolution $ (replaceRow n r . f, replaceRow n r . g)
508− cs' <- fmap concat $ mapM (substituteRowInConstraint n r) cs
510− solveTypeConstraints cs' s'
512−substituteTypeInConstraint :: Int -> Type -> TypeConstraint -> Check [TypeConstraint]
513−substituteTypeInConstraint n s (TypeConstraint m t v)
514− | n == m = unifyTypes v s t
515− | otherwise = return [TypeConstraint m (replaceType n s t) v]
516−substituteTypeInConstraint n s (RowConstraint m r v)
517− = return [RowConstraint m (replaceType n s r) v]
519−substituteRowInConstraint :: Int -> Row -> TypeConstraint -> Check [TypeConstraint]
520−substituteRowInConstraint n r (TypeConstraint m t v)
521− = return [TypeConstraint m (replaceRow n r t) v]
522−substituteRowInConstraint n r (RowConstraint m r1 v)
523− | m == n = unifyRows v r r1
524− | otherwise = return [RowConstraint m (replaceRow n r r1) v]
526−unifyTypes :: TypeConstraintOrigin -> Type -> Type -> Check [TypeConstraint]
527−unifyTypes _ (TUnknown u1) (TUnknown u2) | u1 == u2 = return []
528−unifyTypes o (TUnknown u) t = do
530− return [TypeConstraint u t o]
531−unifyTypes o t (TUnknown u) = do
533− return [TypeConstraint u t o]
534−unifyTypes o (SaturatedTypeSynonym name1 args1) (SaturatedTypeSynonym name2 args2) | name1 == name2 =
535− fmap concat $ zipWithM (unifyTypes o) args1 args2
536−unifyTypes o (SaturatedTypeSynonym name args) ty = do
538− case M.lookup name (typeSynonyms env) of
539− Just (synArgs, body) -> do
540− let m = M.fromList $ zip synArgs args
541− let replaced = replaceTypeVars m body
542− unifyTypes o replaced ty
543− Nothing -> error "Type synonym was not defined"
544−unifyTypes o ty s@(SaturatedTypeSynonym _ _) = unifyTypes o s ty
545−unifyTypes _ Number Number = return []
546−unifyTypes _ String String = return []
547−unifyTypes _ Boolean Boolean = return []
548−unifyTypes o (Array s) (Array t) = unifyTypes o s t
549−unifyTypes o (Object row1) (Object row2) = unifyRows o row1 row2
550−unifyTypes o (Function args1 ret1) (Function args2 ret2) = do
551− guardWith "Function applied to incorrect number of args" $ length args1 == length args2
552− cs1 <- fmap concat $ zipWithM (unifyTypes o) args1 args2
553− cs2 <- unifyTypes o ret1 ret2
555−unifyTypes _ (TypeVar v1) (TypeVar v2) | v1 == v2 = return []
556−unifyTypes _ (TypeConstructor c1) (TypeConstructor c2) | c1 == c2 = return []
557−unifyTypes o (TypeApp t1 t2) (TypeApp t3 t4) = do
558− cs1 <- unifyTypes o t1 t3
559− cs2 <- unifyTypes o t2 t4
561−unifyTypes _ t1 t2 = throwError $ "Cannot unify " ++ prettyPrintType t1 ++ " with " ++ prettyPrintType t2 ++ "."
563−unifyRows :: TypeConstraintOrigin -> Row -> Row -> Check [TypeConstraint]
566− (s1, r1') = toList r1
567− (s2, r2') = toList r2
568− int = [ (t1, t2) | (name, t1) <- s1, (name', t2) <- s2, name == name' ]
569− sd1 = [ (name, t1) | (name, t1) <- s1, not (elem name (map fst s2)) ]
570− sd2 = [ (name, t2) | (name, t2) <- s2, not (elem name (map fst s1)) ]
572− cs1 <- fmap concat $ mapM (uncurry $ unifyTypes o) int
573− cs2 <- unifyRows' o sd1 r1' sd2 r2'
576− unifyRows' :: TypeConstraintOrigin -> [(String, Type)] -> Row -> [(String, Type)] -> Row -> Check [TypeConstraint]
577− unifyRows' o [] (RUnknown u) sd r = do
579− return [RowConstraint u (fromList (sd, r)) o]
580− unifyRows' o sd r [] (RUnknown u) = do
582− return [RowConstraint u (fromList (sd, r)) o]
583− unifyRows' o ((name, ty):row) r others (RUnknown u) = do
585− cs <- unifyRows' o row r others (RUnknown u')
586− return (RowConstraint u (RCons name ty (RUnknown u')) o : cs)
587− unifyRows' _ [] REmpty [] REmpty = return []
588− unifyRows' _ sd1 r1 sd2 r2 = throwError $ "Cannot unify " ++ prettyPrintRow (fromList (sd1, r1)) ++ " with " ++ prettyPrintRow (fromList (sd2, r2)) ++ "."
589− toList :: Row -> ([(String, Type)], Row)
590− toList (RCons name ty row) = let (tys, rest) = toList row
591− in ((name, ty):tys, rest)
593− fromList :: ([(String, Type)], Row) -> Row
594− fromList ([], r) = r
595− fromList ((name, t):ts, r) = RCons name t (fromList (ts, r))