hw2: impl interp

This commit is contained in:
2026-03-06 01:14:27 -08:00
parent 022f9ca2fc
commit aff81eb6da

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@@ -1,9 +1,10 @@
{-
Name: <Your name here>
Name: Yuri Tatishchev
Class: CS 252
Assigment: HW2
Date: <Date assignment is due>
Description: <Describe the program and what it does>
Date: 2026-03-06
Description: Implements the big-step operational semantics for
the WHILE language described in `while-semantics.pdf`
-}
@@ -33,6 +34,8 @@ data Expression =
| Op Binop Expression Expression
| If Expression Expression Expression -- if e1 then e2 else e3
| While Expression Expression -- while (e1) e2
| BoolOp BoolBinop Expression Expression
| Not Expression
deriving (Show)
data Binop =
@@ -46,6 +49,11 @@ data Binop =
| Le -- <= :: Int -> Int -> Bool
deriving (Show)
data BoolBinop =
And
| Or
deriving (Show)
data Value =
IntVal Int
| BoolVal Bool
@@ -57,17 +65,61 @@ data Value =
-- Be sure to explicitly check for a divide by 0 and throw an error.
applyOp :: Binop -> Value -> Value -> Value
applyOp Plus (IntVal i) (IntVal j) = IntVal $ i + j
applyOp _ _ _ = error "TBD"
applyOp Minus (IntVal i) (IntVal j) = IntVal $ i - j
applyOp Times (IntVal i) (IntVal j) = IntVal $ i * j
applyOp Divide (IntVal i) (IntVal j) = IntVal $ i `div` j
applyOp Gt (IntVal i) (IntVal j) = BoolVal $ i > j
applyOp Ge (IntVal i) (IntVal j) = BoolVal $ i >= j
applyOp Lt (IntVal i) (IntVal j) = BoolVal $ i < j
applyOp Le (IntVal i) (IntVal j) = BoolVal $ i <= j
applyOp _ _ _ = error "Not implemented for non-integer values"
applyBoolOp :: BoolBinop -> Value -> Value -> Value
applyBoolOp And (BoolVal b1) (BoolVal b2) = BoolVal $ b1 && b2
applyBoolOp Or (BoolVal b1) (BoolVal b2) = BoolVal $ b1 || b2
applyBoolOp _ _ _ = error "Not implemented for non-boolean values"
applyNot :: Value -> Value
applyNot (BoolVal b) = BoolVal $ not b
applyNot _ = error "Not implemented for non-boolean values"
-- Implement this function according to the specified semantics
evaluate :: Expression -> Store -> (Value, Store)
evaluate (Val v) s = (v, s)
evaluate (Var x) s = case Map.lookup x s of
Just v -> (v, s)
Nothing -> error "Variable not found"
evaluate (Assign x e) s =
let (v,s') = evaluate e s
in (v, Map.insert x v s')
evaluate (Sequence e1 e2) s =
let (_,s1) = evaluate e1 s
(v2,s') = evaluate e2 s1
in (v2, s')
evaluate (Op o e1 e2) s =
let (v1,s1) = evaluate e1 s
(v2,s') = evaluate e2 s1
in (applyOp o v1 v2, s')
evaluate _ _ = error "TBD"
evaluate (If e1 e2 e3) s =
let (v1,s1) = evaluate e1 s
in case v1 of
BoolVal b -> if b then evaluate e2 s1 else evaluate e3 s1
_ -> error "Not implemented for non-boolean values"
evaluate (While e1 e2) s =
let (v1,s1) = evaluate e1 s
in case v1 of
BoolVal b -> if b then
let (_, s2) = evaluate e2 s1
in evaluate (While e1 e2) s2
else (BoolVal False, s1)
_ -> error "Not implemented for non-boolean values"
evaluate (BoolOp o e1 e2) s =
let (v1,s1) = evaluate e1 s
(v2,s') = evaluate e2 s1
in (applyBoolOp o v1 v2, s')
evaluate (Not e) s =
let (v,s') = evaluate e s
in (applyNot v, s')
-- Evaluates a program with an initially empty state
run :: Expression -> (Value, Store)