{-# LANGUAGE OverloadedStrings #-} {-# OPTIONS_GHC -Wno-unrecognised-pragmas #-} {-# HLINT ignore "Use <$>" #-} {-# HLINT ignore "Use camelCase" #-} module Main where import Data.Either (isLeft, isRight) import Data.Map (Map) import Data.Map qualified as M import Grammar.Abs import Test.Hspec import Test.QuickCheck import TypeChecker.TypeChecker import TypeChecker.TypeCheckerIr ( Ctx (..), Env (..), Error, Infer, Poly (..), ) import TypeChecker.TypeCheckerIr qualified as T main :: IO () main = hspec $ do infer_elit infer_eann infer_eid infer_eabs infer_eapp test_id_function infer_elit = describe "algoW used on ELit" $ do it "infers the type mono Int" $ do getType (ELit (LInt 0)) `shouldBe` Right (TMono "Int") it "infers the type mono Int" $ do getType (ELit (LInt 9999)) `shouldBe` Right (TMono "Int") infer_eann = describe "algoW used on EAnn" $ do it "infers the type and checks if the annotated type matches" $ do getType (EAnn (ELit $ LInt 0) (TMono "Int")) `shouldBe` Right (TMono "Int") it "fails if the annotated type does not match with the inferred type" $ do getType (EAnn (ELit $ LInt 0) (TPol "a")) `shouldSatisfy` isLeft it "should be possible to annotate with a more specific type" $ do let annotated_lambda = EAnn (EAbs "x" (EId "x")) (TArr (TMono "Int") (TMono "Int")) in getType annotated_lambda `shouldBe` Right (TArr (TMono "Int") (TMono "Int")) it "should fail if the annotated type is more general than the inferred type" $ do getType (EAnn (ELit (LInt 0)) (TPol "a")) `shouldSatisfy` isLeft it "should fail if the annotated type is an arrow but the annotated type is not" $ do getType (EAnn (EAbs "x" (EId "x")) (TPol "a")) `shouldSatisfy` isLeft infer_eid = describe "algoW used on EId" $ do it "should fail if the variable is not added to the environment" $ do property $ \x -> getType (EId (Ident (x :: String))) `shouldSatisfy` isLeft it "should succeed if the type exist in the environment" $ do property $ \x -> do let env = Env 0 mempty mempty let t = Forall [] (TPol "a") let ctx = Ctx (M.singleton (Ident (x :: String)) t) getTypeC env ctx (EId (Ident x)) `shouldBe` Right (TPol "a") infer_eabs = describe "algoW used on EAbs" $ do it "should infer the argument type as int if the variable is used as an int" $ do let lambda = EAbs "x" (EAdd (EId "x") (ELit (LInt 0))) getType lambda `shouldBe` Right (TArr (TMono "Int") (TMono "Int")) it "should infer the argument type as polymorphic if it is not used in the lambda" $ do let lambda = EAbs "x" (ELit (LInt 0)) getType lambda `shouldSatisfy` isArrowPolyToMono it "should infer a variable as function if used as one" $ do let lambda = EAbs "f" (EAbs "x" (EApp (EId "f") (EId "x"))) let isOk (Right (TArr (TArr (TPol _) (TPol _)) (TArr (TPol _) (TPol _)))) = True isOk _ = False getType lambda `shouldSatisfy` isOk infer_eapp = describe "algoW used on EApp" $ do it "should fail if a variable is applied to itself (occurs check)" $ do property $ \x -> do let env = Env 0 mempty mempty let t = Forall [] (TPol "a") let ctx = Ctx (M.singleton (Ident (x :: String)) t) getTypeC env ctx (EApp (EId (Ident x)) (EId (Ident x))) `shouldSatisfy` isLeft churf_id :: Bind churf_id = Bind "id" (TArr (TPol "a") (TPol "a")) "id" ["x"] (EId "x") churf_add :: Bind churf_add = Bind "add" (TArr (TMono "Int") (TArr (TMono "Int") (TMono "Int"))) "add" ["x", "y"] (EAdd (EId "x") (EId "y")) churf_main :: Bind churf_main = Bind "main" (TArr (TMono "Int") (TMono "Int")) "main" [] (EApp (EApp (EId "id") (EId "add")) (ELit (LInt 0))) prg = Program [DBind churf_main, DBind churf_add, DBind churf_id] test_id_function :: SpecWith () test_id_function = describe "typechecking a program with id, add and main, where id is applied to add in main" $ do it "should succeed to find the correct type" $ do typecheck prg `shouldSatisfy` isRight isArrowPolyToMono :: Either Error Type -> Bool isArrowPolyToMono (Right (TArr (TPol _) (TMono _))) = True isArrowPolyToMono _ = False -- | Empty environment getType :: Exp -> Either Error Type getType e = pure fst <*> run (inferExp e) -- | Custom environment getTypeC :: Env -> Ctx -> Exp -> Either Error Type getTypeC env ctx e = pure fst <*> runC env ctx (inferExp e)