From f9f949ea19b9321abda76da0fb43d65c60a98efd Mon Sep 17 00:00:00 2001 From: Sebastian Larsen Prehn Date: Wed, 4 Sep 2024 13:09:18 +0200 Subject: [PATCH] Add Assignment 1 handout --- a1/a1-handout.tar.gz | Bin 0 -> 2274 bytes a1/a1-handout/.gitignore | 1 + a1/a1-handout/a1.cabal | 31 +++++++++ a1/a1-handout/runtests.hs | 12 ++++ a1/a1-handout/src/APL/AST.hs | 26 ++++++++ a1/a1-handout/src/APL/AST_Tests.hs | 11 ++++ a1/a1-handout/src/APL/Eval.hs | 82 ++++++++++++++++++++++++ a1/a1-handout/src/APL/Eval_Tests.hs | 96 ++++++++++++++++++++++++++++ a1/a1.pdf | Bin 0 -> 78575 bytes 9 files changed, 259 insertions(+) create mode 100644 a1/a1-handout.tar.gz create mode 100644 a1/a1-handout/.gitignore create mode 100644 a1/a1-handout/a1.cabal create mode 100644 a1/a1-handout/runtests.hs create mode 100644 a1/a1-handout/src/APL/AST.hs create mode 100644 a1/a1-handout/src/APL/AST_Tests.hs create mode 100644 a1/a1-handout/src/APL/Eval.hs create mode 100644 a1/a1-handout/src/APL/Eval_Tests.hs create 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+import Test.Tasty (TestTree, testGroup) +import Test.Tasty.HUnit (testCase, (@?=)) + +tests :: TestTree +tests = + testGroup + "Prettyprinting" + [] diff --git a/a1/a1-handout/src/APL/Eval.hs b/a1/a1-handout/src/APL/Eval.hs new file mode 100644 index 0000000..5ec7efd --- /dev/null +++ b/a1/a1-handout/src/APL/Eval.hs @@ -0,0 +1,82 @@ +module APL.Eval + ( Val (..), + Env, + envEmpty, + eval, + ) +where + +import APL.AST (Exp (..), VName) + +data Val + = ValInt Integer + | ValBool Bool + deriving (Eq, Show) + +type Env = [(VName, Val)] + +envEmpty :: Env +envEmpty = [] + +envExtend :: VName -> Val -> Env -> Env +envExtend v val env = (v, val) : env + +envLookup :: VName -> Env -> Maybe Val +envLookup v env = lookup v env + +type Error = String + +evalIntBinOp :: (Integer -> Integer -> Either Error Integer) -> Env -> Exp -> Exp -> Either Error Val +evalIntBinOp f env e1 e2 = + case (eval env e1, eval env e2) of + (Left err, _) -> Left err + (_, Left err) -> Left err + (Right (ValInt x), Right (ValInt y)) -> case f x y of + Left err -> Left err + Right z -> Right $ ValInt z + (Right _, Right _) -> Left "Non-integer operand" + +evalIntBinOp' :: (Integer -> Integer -> Integer) -> Env -> Exp -> Exp -> Either Error Val +evalIntBinOp' f env e1 e2 = + evalIntBinOp f' env e1 e2 + where + f' x y = Right $ f x y + +eval :: Env -> Exp -> Either Error Val +eval _env (CstInt x) = Right $ ValInt x +eval _env (CstBool b) = Right $ ValBool b +eval env (Var v) = case envLookup v env of + Just x -> Right x + Nothing -> Left $ "Unknown variable: " ++ v +eval env (Add e1 e2) = evalIntBinOp' (+) env e1 e2 +eval env (Sub e1 e2) = evalIntBinOp' (-) env e1 e2 +eval env (Mul e1 e2) = evalIntBinOp' (*) env e1 e2 +eval env (Div e1 e2) = evalIntBinOp checkedDiv env e1 e2 + where + checkedDiv _ 0 = Left "Division by zero" + checkedDiv x y = Right $ x `div` y +eval env (Pow e1 e2) = evalIntBinOp checkedPow env e1 e2 + where + checkedPow x y = + if y < 0 + then Left "Negative exponent" + else Right $ x ^ y +eval env (Eql e1 e2) = + case (eval env e1, eval env e2) of + (Left err, _) -> Left err + (_, Left err) -> Left err + (Right (ValInt x), Right (ValInt y)) -> Right $ ValBool $ x == y + (Right (ValBool x), Right (ValBool y)) -> Right $ ValBool $ x == y + (Right _, Right _) -> Left "Invalid operands to equality" +eval env (If cond e1 e2) = + case eval env cond of + Left err -> Left err + Right (ValBool True) -> eval env e1 + Right (ValBool False) -> eval env e2 + Right _ -> Left "Non-boolean conditional." +eval env (Let var e1 e2) = + case eval env e1 of + Left err -> Left err + Right v -> eval (envExtend var v env) e2 + +-- TODO: Add cases after extending Exp. diff --git a/a1/a1-handout/src/APL/Eval_Tests.hs b/a1/a1-handout/src/APL/Eval_Tests.hs new file mode 100644 index 0000000..98e67ec --- /dev/null +++ b/a1/a1-handout/src/APL/Eval_Tests.hs @@ -0,0 +1,96 @@ +module APL.Eval_Tests (tests) where + +import APL.AST (Exp (..)) +import APL.Eval (Val (..), envEmpty, eval) +import Test.Tasty (TestTree, testGroup) +import Test.Tasty.HUnit (testCase, (@?=)) + +-- -- Consider this example when you have added the necessary constructors. +-- -- The Y combinator in a form suitable for strict evaluation. +-- yComb :: Exp +-- yComb = +-- Lambda "f" $ +-- Apply +-- (Lambda "g" (Apply (Var "g") (Var "g"))) +-- ( Lambda +-- "g" +-- ( Apply +-- (Var "f") +-- (Lambda "a" (Apply (Apply (Var "g") (Var "g")) (Var "a"))) +-- ) +-- ) + +-- fact :: Exp +-- fact = +-- Apply yComb $ +-- Lambda "rec" $ +-- Lambda "n" $ +-- If +-- (Eql (Var "n") (CstInt 0)) +-- (CstInt 1) +-- (Mul (Var "n") (Apply (Var "rec") (Sub (Var "n") (CstInt 1)))) + +tests :: TestTree +tests = + testGroup + "Evaluation" + [ testCase "Add" $ + eval envEmpty (Add (CstInt 2) (CstInt 5)) + @?= Right (ValInt 7), + -- + testCase "Add (wrong type)" $ + eval envEmpty (Add (CstInt 2) (CstBool True)) + @?= Left "Non-integer operand", + -- + testCase "Sub" $ + eval envEmpty (Sub (CstInt 2) (CstInt 5)) + @?= Right (ValInt (-3)), + -- + testCase "Div" $ + eval envEmpty (Div (CstInt 7) (CstInt 3)) + @?= Right (ValInt 2), + -- + testCase "Div0" $ + eval envEmpty (Div (CstInt 7) (CstInt 0)) + @?= Left "Division by zero", + -- + testCase "Pow" $ + eval envEmpty (Pow (CstInt 2) (CstInt 3)) + @?= Right (ValInt 8), + -- + testCase "Pow0" $ + eval envEmpty (Pow (CstInt 2) (CstInt 0)) + @?= Right (ValInt 1), + -- + testCase "Pow negative" $ + eval envEmpty (Pow (CstInt 2) (CstInt (-1))) + @?= Left "Negative exponent", + -- + testCase "Eql (false)" $ + eval envEmpty (Eql (CstInt 2) (CstInt 3)) + @?= Right (ValBool False), + -- + testCase "Eql (true)" $ + eval envEmpty (Eql (CstInt 2) (CstInt 2)) + @?= Right (ValBool True), + -- + testCase "If" $ + eval envEmpty (If (CstBool True) (CstInt 2) (Div (CstInt 7) (CstInt 0))) + @?= Right (ValInt 2), + -- + testCase "Let" $ + eval envEmpty (Let "x" (Add (CstInt 2) (CstInt 3)) (Var "x")) + @?= Right (ValInt 5), + -- + testCase "Let (shadowing)" $ + eval + envEmpty + ( Let + "x" + (Add (CstInt 2) (CstInt 3)) + (Let "x" (CstBool True) (Var "x")) + ) + @?= Right (ValBool True) + -- + -- TODO - add more + ] diff --git a/a1/a1.pdf b/a1/a1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..bfbf554f951a1ff36a3e7c0fabf6080ff93a2b4c GIT binary patch literal 78575 zcma&NW3Xsl(yh5|+cwU&ZQHhO+qP}nwr!hd+s1vn@2wkOM^!}E`n7WYU9p}qMrKY@ zd0|mnhCeJ&r1Q%o>rhMt^aOT>mQdW>P;}BJwr0-e1Pt^X%mn}M14SolVeM?>DiycIiqQM1c1{6|Dx^pxa?&c`8gROZcB#cm z(Vl1xokA%V_x!Qv7AnNiTJRFz4;~x#_;o7avsul{eL{v5h$=Z@-V{^3OtWNBoMI?? zwon?`I|{#&An=+nHJI2A=oskiVBT3MtJPTu}I07jm0AyuvNBwoI7mrSZ`)Q_~51^>{ zH}2LR7LJqc%gu4po-FyT;<(md4U?L{v;;MY8{pTYlCL%?8@X2^0m4P1RzD;)(=n+U z09AT+x^m8J4L8j6O&n_fDooH6V~hqOWT>GAkx!6t&gk-P*+J+{zr`v)yyNrtLEA+uaAkKuyAPZWghh)cABb~BA(3j-MHFm=6A@=VK=MV0 zC55ge_S3 zTh~j@gb74;Ly(chA0ieYgVw=EP&_-+;1|1pb_8BG0#yvX&b2&k@ZqMIm5u%2cXk1? z^rN2xbalRE>70D*R|MjVBdaskyFdJa`G!{ewJ9GqwVxG&Cit1t03+VyY?DcmsFw2( z=D@nu`9oWwU(q1^)5mg@A8zRxlpS9J4~P@_R! 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