i'm on an airplane rn, my eyelids grow heavy, and i forgot my medication. should this be my final commit (of the week): gootbye
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@@ -92,6 +92,7 @@ test-suite rlp-test
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, rlp
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, QuickCheck
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, hspec ==2.*
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, microlens
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other-modules: Arith
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, GMSpec
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, Core.HindleyMilnerSpec
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@@ -4,8 +4,9 @@ Description : Hindley-Milner inference
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-}
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{-# LANGUAGE LambdaCase #-}
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module Core.HindleyMilner
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( infer
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, Context'
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( Context'
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, infer
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, check
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, TypeError(..)
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, HMError
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)
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@@ -15,7 +16,8 @@ import Lens.Micro
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import Lens.Micro.Mtl
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import Data.Maybe (fromMaybe)
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import Data.Text qualified as T
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import Control.Monad (foldM)
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import Data.HashMap.Strict qualified as H
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import Control.Monad (foldM, void)
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import Control.Monad.State
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import Control.Monad.Utils (mapAccumLM)
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import Core.Syntax
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@@ -43,6 +45,26 @@ data TypeError
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-- | Synonym for @Either TypeError@
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type HMError = Either TypeError
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-- | Assert that an expression unifies with a given type
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--
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-- >>> let e = [coreProg|3|]
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-- >>> check [] (TyCon "Bool") e
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-- Left (TyErrCouldNotUnify (TyCon "Bool") (TyCon "Int#"))
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-- >>> check [] (TyCon "Int#") e
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-- Right ()
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check :: Context' -> Type -> Expr' -> HMError ()
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check g t1 e = do
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t2 <- infer g e
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unify [(t1,t2)]
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pure ()
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checkProg :: Program' -> HMError ()
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checkProg p = p ^. programScDefs
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& traversalOf k
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where
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k sc = undefined
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-- | Infer the type of an expression under some context.
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--
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-- >>> let g1 = [("id", TyVar "a" :-> TyVar "a")]
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@@ -55,6 +77,7 @@ type HMError = Either TypeError
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infer :: Context' -> Expr' -> HMError Type
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infer g e = do
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(t,cs) <- gather g e
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-- apply all unified constraints
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foldr (uncurry subst) t <$> unify cs
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-- | A @Constraint@ between two types describes the requirement that the pair
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@@ -89,6 +112,7 @@ gather = \g e -> runStateT (go g e) ([],0) <&> \ (t,(cs,_)) -> (t,cs) where
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Let NonRec bs e -> do
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g' <- buildLetContext g bs
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go g' e
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-- TODO letrec, lambda, case
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buildLetContext :: Context' -> [Binding']
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-> StateT ([Constraint], Int) HMError Context'
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@@ -149,8 +173,17 @@ unify = go mempty where
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| x == y = True
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occurs _ = False
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buildInitialContext :: Program b -> Context b
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buildInitialContext p = p ^. programTypeSigs
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& H.toList
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-- | The expression @subst x t e@ substitutes all occurences of @x@ in @e@ with
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-- @t@
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--
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-- >>> subst "a" (TyCon "Int") (TyVar "a")
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-- TyCon "Int"
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-- >>> subst "a" (TyCon "Int") (TyVar "a" :-> TyVar "a")
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-- TyCon "Int" :-> TyCon "Int"
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subst :: Name -> Type -> Type -> Type
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subst x t (TyVar y) | x == y = t
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@@ -87,6 +87,7 @@ rlp :-
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"where" { constTok TokenWhere }
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"Pack" { constTok TokenPack } -- temp
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-- TODO: this should be "\"
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"\\" { constTok TokenLambda }
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"λ" { constTok TokenLambda }
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"=" { constTok TokenEquals }
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@@ -24,6 +24,7 @@ module Core.Syntax
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, Module(..)
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, Program(..)
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, Program'
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, unliftScDef
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, programScDefs
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, programTypeSigs
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, Expr'
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@@ -37,13 +38,13 @@ module Core.Syntax
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----------------------------------------------------------------------------------
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import Data.Coerce
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import Data.Pretty
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import GHC.Generics
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import Data.List (intersperse)
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import Data.Function ((&))
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import Data.String
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import Data.HashMap.Strict qualified as H
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import Data.Hashable
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import Data.Text qualified as T
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import Data.Char
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-- Lift instances for the Core quasiquoters
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import Language.Haskell.TH.Syntax (Lift)
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import Lens.Micro.TH (makeLenses)
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@@ -116,6 +117,9 @@ type Tag = Int
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data ScDef b = ScDef b [b] (Expr b)
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deriving (Show, Lift)
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unliftScDef :: ScDef b -> Expr b
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unliftScDef (ScDef _ as e) = Lam as e
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data Module b = Module (Maybe (Name, [Name])) (Program b)
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deriving (Show, Lift)
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@@ -138,7 +142,11 @@ instance IsString (Expr b) where
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fromString = Var . fromString
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instance IsString Type where
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fromString = TyVar . fromString
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fromString "" = error "IsString Type string may not be empty"
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fromString s
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| isUpper c = TyCon . fromString $ s
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| otherwise = TyVar . fromString $ s
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where (c:_) = s
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instance (Hashable b) => Semigroup (Program b) where
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(<>) = undefined
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@@ -6,6 +6,7 @@ module Arith
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) where
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----------------------------------------------------------------------------------
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import Data.Functor.Classes (eq1)
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import Lens.Micro
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import Core.Syntax
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import GM
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import Test.QuickCheck
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@@ -70,7 +71,7 @@ instance Arbitrary ArithExpr where
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-- coreResult = evalCore (toCore e)
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toCore :: ArithExpr -> Program'
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toCore expr = Program
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toCore expr = mempty & programScDefs .~
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[ ScDef "id" ["x"] $ Var "x"
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, ScDef "main" [] $ go expr
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]
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@@ -6,7 +6,8 @@ module Core.HindleyMilnerSpec
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----------------------------------------------------------------------------------
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import Core.Syntax
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import Core.TH (coreExpr)
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import Core.HindleyMilner (infer, TypeError(..), HMError)
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import Core.HindleyMilner (infer, check, TypeError(..), HMError)
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import Data.Either (isLeft)
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import Test.Hspec
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----------------------------------------------------------------------------------
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@@ -19,7 +20,7 @@ spec = do
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it "should not infer `id 3` when `id` is specialised to `a -> a`" $
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let g = [ ("id", ("a" :-> "a") :-> "a" :-> "a") ]
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in infer g [coreExpr|id 3|] `shouldSatisfy` isUntypedVariableErr
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in infer g [coreExpr|id 3|] `shouldSatisfy` isLeft
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-- TODO: property-based tests for let
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it "should infer `let x = 3 in id x` :: Int" $
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@@ -31,8 +32,8 @@ spec = do
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let g = [ ("+#", TyInt :-> TyInt :-> TyInt) ]
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e = [coreExpr|let {x=3;y=2} in (+#) x y|]
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in infer g e `shouldBe` Right TyInt
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isUntypedVariableErr :: HMError a -> Bool
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isUntypedVariableErr (Left (TyErrCouldNotUnify _ _)) = True
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isUntypedVariableErr _ = False
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it "should find `3 :: Bool` contradictory" $
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let e = [coreExpr|3|]
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in check [] (TyCon "Bool") e `shouldSatisfy` isLeft
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