started on a test suite
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6 changed files with 57 additions and 272 deletions
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@ -15,7 +15,6 @@ extra-doc-files: CHANGELOG.md
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extra-source-files:
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Grammar.cf
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common warnings
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ghc-options: -Wdefault
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@ -51,6 +50,34 @@ executable language
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, either
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, extra
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, array
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, unification-fd
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default-language: GHC2021
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test-suite test
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hs-source-dirs: tests, src
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main-is: Main.hs
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type: exitcode-stdio-1.0
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other-modules:
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Grammar.Abs
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Grammar.Lex
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Grammar.Par
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Grammar.Print
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Grammar.Skel
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Grammar.ErrM
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Auxiliary
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Renamer.RenamerM
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TypeChecker.AlgoW
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TypeChecker.HM
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TypeChecker.HMIr
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build-depends:
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base >=4.16
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, mtl
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, containers
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, either
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, array
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, extra
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, hspec
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default-language: GHC2021
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@ -12,8 +12,7 @@ import System.Exit (exitFailure, exitSuccess)
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import TypeChecker.AlgoW (typecheck)
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main :: IO ()
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main =
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getArgs >>= \case
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main = getArgs >>= \case
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[] -> print "Required file path missing"
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(x : _) -> do
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file <- readFile x
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@ -1,4 +1,4 @@
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{-# LANGUAGE LambdaCase #-}
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{-# LANGUAGE LambdaCase #-}
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module Renamer.RenamerM where
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@ -120,12 +120,11 @@ w = \case
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return (s3 `compose` s2 `compose` s1, t, T.EApp t e0' e1')
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ELet name e0 e1 -> do
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(s1, t1, e0') <- w e0
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applySt s1 $ do
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env <- asks vars
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let t' = generalize (apply s1 env) t1
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withBinding name t' $ do
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(s2, t2, e1') <- w e1
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return (s2 `compose` s1, t2, T.ELet t2 name e0' e1' )
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env <- asks vars
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let t' = generalize (apply s1 env) t1
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withBinding name t' $ do
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(s2, t2, e1') <- w e1
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return (s2 `compose` s1, t2, T.ELet t2 name e0' e1' )
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-- | Unify two types producing a new substitution (constraint)
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unify :: Type -> Type -> Infer Subst
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@ -1,261 +0,0 @@
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{-# LANGUAGE DeriveAnyClass #-}
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{-# LANGUAGE LambdaCase #-}
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{-# LANGUAGE OverloadedStrings #-}
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{-# LANGUAGE PatternSynonyms #-}
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module TypeChecker.Unification where
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import Control.Arrow ((>>>))
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import Control.Monad.Except
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import Control.Monad.Reader
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import Control.Monad.State
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import Control.Unification hiding (applyBindings, (=:=))
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import qualified Control.Unification as U
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import Control.Unification.IntVar
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import Data.Foldable (fold)
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import Data.Functor.Fixedpoint
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import Data.Functor.Identity
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import Data.Map (Map)
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import qualified Data.Map as M
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import Data.Maybe (fromJust, fromMaybe)
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import Data.Set (Set, (\\))
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import qualified Data.Set as S
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import Debug.Trace (trace)
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import GHC.Generics (Generic1)
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import Renamer.Renamer
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import qualified Renamer.RenamerIr as R
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import Renamer.RenamerIr (Const (..), Ident (..), RBind (..),
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RExp (..), RProgram (..))
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type Ctx = Map Ident UPolytype
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type TypeError = String
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data TypeT a = TPolyT Ident | TMonoT Ident | TArrowT a a
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deriving (Functor, Foldable, Traversable, Generic1, Unifiable)
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instance Show a => Show (TypeT a) where
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show (TPolyT (Ident i)) = i
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show (TMonoT (Ident i)) = i
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show (TArrowT a b) = show a ++ " -> " ++ show b
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type Infer = StateT (Map Ident UPolytype) (ReaderT Ctx (ExceptT TypeError (IntBindingT TypeT Identity)))
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type Type = Fix TypeT
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type UType = UTerm TypeT IntVar
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data Poly t = Forall [Ident] t
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deriving (Eq, Functor)
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instance Show t => Show (Poly t) where
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show (Forall is t) = unwords (map (\(Ident x) -> "forall " ++ x ++ ".") is) ++ " " ++ show t
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type Polytype = Poly Type
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type UPolytype = Poly UType
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pattern TPoly :: Ident -> Type
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pattern TPoly v = Fix (TPolyT v)
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pattern TMono :: Ident -> Type
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pattern TMono v = Fix (TMonoT v)
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pattern TArrow :: Type -> Type -> Type
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pattern TArrow t1 t2 = Fix (TArrowT t1 t2)
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pattern UTMono :: Ident -> UType
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pattern UTMono v = UTerm (TMonoT v)
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pattern UTArrow :: UType -> UType -> UType
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pattern UTArrow t1 t2 = UTerm (TArrowT t1 t2)
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pattern UTPoly :: Ident -> UType
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pattern UTPoly v = UTerm (TPolyT v)
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data TType = TTPoly Ident | TTMono Ident | TTArrow TType TType
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deriving (Show)
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newtype Program = Program [Bind]
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deriving (Show)
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data Bind = Bind Ident Exp Polytype
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deriving (Show)
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data Exp
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= EAnn Exp Polytype
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| EBound Ident Polytype
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| EFree Ident Polytype
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| EConst Const Polytype
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| EApp Exp Exp Polytype
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| EAdd Exp Exp Polytype
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| EAbs Ident Exp Polytype
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deriving (Show)
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data TExp
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= TAnn TExp UType
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| TFree Ident UType
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| TBound Ident UType
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| TConst Const UType
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| TApp TExp TExp UType
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| TAdd TExp TExp UType
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| TAbs Ident TExp UType
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deriving (Show)
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----------------------------------------------------------
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typecheck :: RProgram -> Either TypeError Program
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typecheck = undefined
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run :: Infer (UType, TExp) -> Either TypeError Polytype
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run = fmap fst
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>>> (>>= applyBindings)
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>>> (>>= (generalize >>> fmap fromUPolytype))
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>>> flip evalStateT mempty
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>>> flip runReaderT mempty
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>>> runExceptT
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>>> evalIntBindingT
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>>> runIdentity
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infer :: RExp -> Infer (UType, TExp)
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infer = \case
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(RConst (CInt i)) -> return (UTMono "Int", TConst (CInt i) (UTMono "Int"))
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(RConst (CStr str)) -> return (UTMono "String", TConst (CStr str) (UTMono "String"))
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(RAdd e1 e2) -> do
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(t1, e1') <- infer e2
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(t2, e2') <- infer e1
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t1 =:= UTMono "Int"
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t2 =:= UTMono "Int"
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return (UTMono "Int", TAdd e1' e2' (UTMono "Int"))
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-- type is not used, probably wrong
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(RAnn e t) -> do
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(t', e') <- infer e
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check e t'
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return (t', TAnn e' t')
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(RApp e1 e2) -> do
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(f, e1') <- infer e1
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(arg, e2') <- infer e2
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res <- fresh
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f =:= UTArrow arg res
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return (res, TApp e1' e2' res)
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(RAbs _ i e) -> do
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arg <- fresh
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withBinding i (Forall [] arg) $ do
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(res, e') <- infer e
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return (UTArrow arg res, TAbs i e' (UTArrow arg res))
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(RFree i) -> do
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t <- lookupSigsT i
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return (t, TFree i t)
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(RBound _ i) -> do
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t <- lookupVarT i
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return (t, TBound i t)
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check :: RExp -> UType -> Infer ()
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check expr t = do
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(t', _) <- infer expr
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t =:= t'
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return ()
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lookupVarT :: Ident -> Infer UType
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lookupVarT x@(Ident i) = do
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ctx <- ask
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maybe (throwError $ "Var - Unbound variable: " <> i) instantiate (M.lookup x ctx)
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lookupSigsT :: Ident -> Infer UType
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lookupSigsT x@(Ident i) = do
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ctx <- ask
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case M.lookup x ctx of
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Nothing -> trace (show ctx) (throwError $ "Sigs - Unbound variable: " <> i)
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Just ut -> return $ fromPolytype ut
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insertSigs :: MonadState (Map Ident UPolytype) m => Ident -> UPolytype -> m ()
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insertSigs x ty = modify (M.insert x ty)
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fromPolytype :: UPolytype -> UType
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fromPolytype (Forall ids ut) = ut
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ucata :: Functor t => (v -> a) -> (t a -> a) -> UTerm t v -> a
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ucata f _ (UVar v) = f v
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ucata f g (UTerm t) = g (fmap (ucata f g) t)
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withBinding :: MonadReader Ctx m => Ident -> UPolytype -> m a -> m a
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withBinding x ty = local (M.insert x ty)
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deriving instance Ord IntVar
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class FreeVars a where
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freeVars :: a -> Infer (Set (Either Ident IntVar))
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instance FreeVars UType where
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freeVars ut = do
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fuvs <- fmap (S.fromList . map Right) . lift . lift . lift $ getFreeVars ut
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let ftvs =
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ucata
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(const S.empty)
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(\case TMonoT x -> S.singleton (Left x); f -> fold f)
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ut
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return $ fuvs `S.union` ftvs
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instance FreeVars UPolytype where
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freeVars (Forall xs ut) = (\\ (S.fromList (map Left xs))) <$> freeVars ut
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instance FreeVars Ctx where
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freeVars = fmap S.unions . mapM freeVars . M.elems
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fresh :: Infer UType
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fresh = UVar <$> lift (lift (lift freeVar))
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instance Fallible TypeT IntVar TypeError where
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occursFailure iv ut = "Infinite"
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mismatchFailure iv ut = "Mismatch"
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(=:=) :: UType -> UType -> Infer UType
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(=:=) s t = lift . lift $ s U.=:= t
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applyBindings :: UType -> Infer UType
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applyBindings = lift . lift . U.applyBindings
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instantiate :: UPolytype -> Infer UType
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instantiate (Forall xs uty) = do
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xs' <- mapM (const fresh) xs
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return $ substU (M.fromList (zip (map Left xs) xs')) uty
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substU :: Map (Either Ident IntVar) UType -> UType -> UType
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substU m =
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ucata
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(\v -> fromMaybe (UVar v) (M.lookup (Right v) m))
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( \case
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TPolyT v -> fromMaybe (UTPoly v) (M.lookup (Left v) m)
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f -> UTerm f
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)
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skolemize :: UPolytype -> Infer UType
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skolemize (Forall xs uty) = do
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xs' <- mapM (const fresh) xs
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return $ substU (M.fromList (zip (map Left xs) (map toSkolem xs'))) uty
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where
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toSkolem (UVar v) = UTPoly (mkVarName "s" v)
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mkVarName :: String -> IntVar -> Ident
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mkVarName nm (IntVar v) = Ident $ nm ++ show (v + (maxBound :: Int) + 1)
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-- | Used in let bindings to generalize functions declared there
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generalize :: UType -> Infer UPolytype
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generalize uty = do
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uty' <- applyBindings uty
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ctx <- ask
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tmfvs <- freeVars uty'
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ctxfvs <- freeVars ctx
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let fvs = S.toList $ tmfvs \\ ctxfvs
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xs = map (either id (mkVarName "a")) fvs
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return $ Forall xs (substU (M.fromList (zip fvs (map UTPoly xs))) uty')
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fromUPolytype :: UPolytype -> Polytype
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fromUPolytype = fmap (fromJust . freeze)
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inf = RAbs 0 "x" (RApp (RBound 0 "x") (RBound 0 "x"))
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one = RConst (CInt 1)
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lambda = RAbs 0 "f" (RAbs 1 "x" (RApp (RBound 0 "f") (RBound 1 "x")))
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fn = RAbs 0 "x" (RBound 0 "x")
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21
tests/Main.hs
Normal file
21
tests/Main.hs
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@ -0,0 +1,21 @@
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{-# LANGUAGE OverloadedStrings #-}
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module Main where
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import Grammar.Abs
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import System.Exit (exitFailure)
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import Test.Hspec
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import TypeChecker.AlgoW
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main :: IO ()
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main = do
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print "RUNNING TESTS BROTHER"
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exitFailure
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-- hspec $ do
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-- describe "the algorithm W" $ do
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-- it "infers EInt as type Int" $ do
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-- fmap fst (run (inferExp (EInt 1))) `shouldBe` Right (TMono "Int")
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-- it "throws an exception if a variable is inferred with an empty env" $ do
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-- run (inferExp (EId "x")) `shouldBe` Left "Unbound variable: x"
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-- it "throws an exception if the annotated type does not match the inferred type" $ do
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-- fmap fst (run (inferExp (EAnn (EInt 3) (TPol "a")))) `shouldBe` Right (TMono "bad")
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