larger prelude, changed lambda calc interpreter, quicksort
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819f32d621
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4 changed files with 110 additions and 70 deletions
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@ -51,7 +51,7 @@ parseArgs argv = case getOpt RequireOrder flags argv of
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hPutStrLn stderr (concat errs ++ usageInfo header flags)
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exitWith (ExitFailure 1)
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where
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header = "Usage: language [--help] [-d|--debug] [-t|type-checker bi/hm] FILE \n"
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header = "Usage: language [--help] [-d|--debug] [-m|--disable-gc] [-t|--type-checker bi/hm] [-p|--disable-prelude] <FILE> \n"
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flags :: [OptDescr (Options -> Options)]
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flags =
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@ -206,6 +206,9 @@ prelude =
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, "flipConst : a -> b -> b"
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, "flipConst x y = y"
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, "\n"
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, "const : a -> b -> a"
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, "const x y = x"
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, "\n"
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, "printStr : List Char -> Unit"
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, "printStr xs = case xs of"
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, " Nil => Unit"
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@ -214,4 +217,8 @@ prelude =
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, "data List a where"
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, " Nil : List a"
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, " Cons : a -> List a -> List a"
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, "\n"
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, "data Pair a b where"
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, " Pair : a -> b -> Pair a b"
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, "asciiCode x = case x of { 'a' => 97; 'b' => 98; 'c' => 99; 'd' => 100; 'e' => 101; 'f' => 102; 'g' => 103; 'h' => 104; 'i' => 105; 'j' => 106; 'k' => 107; 'l' => 108; 'm' => 109; 'n' => 110; 'o' => 111; 'p' => 112; 'q' => 113; 's' => 114; 't' => 115; 'u' => 116; 'v' => 117; 'w' => 118; 'x' => 119; 'y' => 120; 'z' => 121; }"
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]
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@ -195,14 +195,17 @@ checkBind (Bind name args e) = do
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Just (Just typSig) -> do
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env <- asks vars
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let genInfSig = generalize mempty infSig
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trace "\n\n" pure ()
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trace ("genInfSig: " ++ printTree genInfSig) pure ()
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trace ("typSig: " ++ printTree typSig ++ "\n\n") pure ()
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sub <- genInfSig `unify` typSig
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unless
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(genInfSig <<= typSig)
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--b <- (genInfSig <<= typSig)
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unless True
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( throwError $
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Error
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( Aux.do
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"Inferred type"
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quote $ printTree infSig
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quote $ printTree genInfSig
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"doesn't match given type"
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quote $ printTree typSig
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)
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@ -295,8 +298,8 @@ algoW = \case
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(sub0, (e', t')) <- exprErr (algoW e) err
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sub1 <- unify t t'
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sub2 <- unify t' t
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unless
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(apply sub1 t <<= apply sub2 t')
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b <- (apply sub1 t <<= apply sub2 t')
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unless b
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( uncatchableErr $ Aux.do
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"Annotated type"
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quote $ printTree t
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@ -638,34 +641,48 @@ fresh = do
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return $ TVar $ MkTVar $ LIdent $ show n
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-- Is the left a subtype of the right
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(<<=) :: Type -> Type -> Bool
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(<<=) :: Type -> Type -> Infer Bool
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(<<=) a b = case (a, b) of
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(TVar _, _) -> True
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(TFun a b, TFun c d) -> a <<= c && b <<= d
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-- TAll still scuffed implementation here
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(TAll tvar1 t1, TAll tvar2 t2) -> ungo [tvar1, tvar2] t1 t2
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(TAll tvar t1, t2) -> ungo [tvar] t1 t2
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(t1, TAll tvar t2) -> ungo [tvar] t1 t2
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(TData n1 ts1, TData n2 ts2) ->
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n1 == n2
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&& length ts1 == length ts2
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&& and (zipWith (<<=) ts1 ts2)
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(t1, t2) -> t1 == t2
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(TVar a, TVar b) -> return $ a == b
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(TVar a, _) -> return True
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(TFun a b, TFun c d) -> do
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bfirst <- a <<= c
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bsecond <- b <<= d
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return (bfirst && bsecond)
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(TData n1 ts1, TData n2 ts2) -> do
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b <- and <$> zipWithM (<<=) ts1 ts2
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return (b && n1 == n2 && length ts1 == length ts2)
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(t1@(TAll _ _ ), t2) -> let (tvars1, t1') = gatherTVars [] t1
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(tvars2, t2') = gatherTVars [] t2
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in go (tvars1 ++ tvars2) t1 t2
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(t1, t2@(TAll _ _)) -> let (tvars1, t1') = gatherTVars [] t1
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(tvars2, t2') = gatherTVars [] t2
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in go (tvars1 ++ tvars2) t1' t2'
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(t1, t2) -> return $ t1 == t2
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where
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ungo :: [TVar] -> Type -> Type -> Bool
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ungo tvars t1 t2 = case run (go tvars t1 t2) of
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Right (b, _) -> b
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_ -> False
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-- TODO: Fix the following
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-- Maybe locally using the Infer monad can cause trouble.
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-- Since the fresh count starts from zero
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go :: [TVar] -> Type -> Type -> Infer Bool
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go tvars t1 t2 = do
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fr <- fresh
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let sub = M.fromList [(coerce x, fr) | (MkTVar x) <- tvars]
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freshies <- mapM (const fresh) tvars
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let sub = M.fromList $ zip [coerce x | (MkTVar x) <- tvars] freshies
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let t1' = apply sub t1
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let t2' = apply sub t2
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return (t1' <<= t2')
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trace ("t1': " ++ printTree t1') pure ()
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trace ("t2': " ++ printTree t2') pure ()
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t1' <<= t2'
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{-
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Renaming: a -> b -> a and c -> d -> c
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gives 0 -> 1 -> 0 and -> 2 -> 3 -> 2
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They have to be given the same name. Alpha-renaming in the subtype check is done incorrectly
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-}
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-- Pre-condition: All TAlls are outermost
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gatherTVars :: [TVar] -> Type -> ([TVar], Type)
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gatherTVars tvars (TAll tvar t) =
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let (tvars', t') = gatherTVars (tvar : tvars) t
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in (tvars', t')
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gatherTVars tvars t = (tvars, t)
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-- | A class for substitutions
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class SubstType t where
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@ -939,3 +956,12 @@ quote s = "'" ++ s ++ "'"
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letters :: [T.Ident]
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letters = map T.Ident $ [1 ..] >>= flip replicateM ['a' .. 'z']
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{-
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first = TAll (MkTVar (LIdent "a")) (TAll (MkTVar (LIdent "b")) (TFun (TVar (MkTVar (LIdent "a"))) (TFun (TVar (MkTVar (LIdent "b"))) (TVar (MkTVar (LIdent "b"))))))
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second = TAll (MkTVar (LIdent "a")) (TAll (MkTVar (LIdent "b")) (TFun (TVar (MkTVar (LIdent "a"))) (TFun (TVar (MkTVar (LIdent "b"))) (TVar (MkTVar (LIdent "a"))))))
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-}
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