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May 5, 2013 10:11
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| module Main where | |
| import Control.Applicative ((<$>)) | |
| import Control.Monad.Error | |
| import Text.ParserCombinators.Parsec | |
| import Data.Map (Map) | |
| import qualified Data.Map as M | |
| -- Types | |
| data Expr | |
| = Sym String | |
| | List [Expr] | |
| | Num Int | |
| | Str String | |
| | Bool Bool | |
| | Func Env [String] Expr | |
| | Prim ([Expr] -> ErrorOr Expr) | |
| instance Show Expr where | |
| show exp = | |
| case exp of | |
| Sym x -> x | |
| List xs -> "(" ++ (unwords $ map show xs) ++ ")" | |
| Num x -> show x | |
| Str x -> "\"" ++ x ++ "\"" | |
| Bool x -> show x | |
| Func _ _ _ -> "a function" | |
| Prim _ -> "a primitive" | |
| data Err | |
| = NotInScope String | |
| | TypeMismatch String | |
| | NumArgs Integer | |
| | Parser ParseError | |
| | Default String | |
| deriving (Show) | |
| instance Error Err | |
| type ErrorOr = Either Err | |
| -- Environment | |
| type Env = [Map String Expr] | |
| nullEnv = [M.empty] :: Env | |
| extEnv xs = M.empty : xs | |
| addEnv x y (z:zs) = (M.insert x y z) : zs | |
| checkEnv :: Env -> String -> Maybe Expr | |
| checkEnv [] _ = Nothing | |
| checkEnv (x:xs) y = | |
| if M.member y x then | |
| M.lookup y x | |
| else lookupEnv y xs | |
| updateEnv :: Env -> [String] -> [Expr] -> Env | |
| updateEnv env [] [] = env | |
| updateEnv env (x:xs) (y:ys) = addEnv x y $ updateEnv env xs ys | |
| updateEnv _ _ = error "No case matched in updateEnv" | |
| bindPrims :: (String, Expr) -> Env | |
| bindPrims (x,y) = | |
| defaultEnv :: Env -> [(String, Expr)] -> Env | |
| defaultEnv _ [] = | |
| defaultEnv env xs = updateEnv env (fst $ head xs) (snd $ head xs) | |
| -- Evaluation | |
| eval :: Env -> Expr -> ErrorOr Expr | |
| eval env (Sym x) = do | |
| let result = lookup x env | |
| case result of | |
| Just _ -> return $ Sym x | |
| Nothing -> throwError $ NotInScope x | |
| eval env (List [Sym "fn", List params, List form]) = | |
| return $ Func env (map (\(Sym x) -> x) params) (List form) | |
| eval env (List [Sym "if", pred, consq, alt]) = do | |
| result <- eval env pred | |
| case result of | |
| Bool True -> eval env consq | |
| Bool False -> eval env alt | |
| eval env (List [Sym "def", Sym var, form]) = do | |
| val <- eval env form | |
| eval ((var, val) : env) val | |
| eval env (List [Sym "quote", xs]) = return xs | |
| eval env (List (op:args)) = do | |
| func <- eval env op | |
| args <- mapM (eval env) args | |
| apply func args | |
| eval env x = return x | |
| apply :: Expr -> [Expr] -> ErrorOr Expr | |
| apply (Prim func) args = func args | |
| apply (Func env params form) args = | |
| eval (updateEnv env params args) form >>= return | |
| apply _ _ = throwError $ Default "error in apply" | |
| -- Primitives | |
| prims = [ | |
| -- Arithmetic functions | |
| ("+", Prim $ arith (+)), | |
| ("-", Prim $ arith (-)), | |
| ("/", Prim $ arith div), | |
| ("*", Prim $ arith (*)), | |
| ("%", Prim $ arith mod), | |
| ("<", Prim $ numBool (<)), | |
| (">", Prim $ numBool (>)), | |
| -- Univarsal equality function | |
| ("=", Prim equal), | |
| -- Boolean functions | |
| ("&", Prim $ bool (&&)), | |
| ("|", Prim $ bool (||)), | |
| -- List functions | |
| ("cons", Prim cons), | |
| ("car", Prim car), | |
| ("cdr", Prim cdr)] | |
| arith :: (Int -> Int -> Int) -> [Expr] -> ErrorOr Expr | |
| arith f [] = throwError $ NumArgs 2 | |
| arith f x@[_] = throwError $ NumArgs 2 | |
| arith f params = return . Num . foldl1 f $ (\(Num x) -> x) <$> params | |
| numBool :: (Int -> Int -> Bool) -> [Expr] -> ErrorOr Expr | |
| numBool f [Num x, Num y] = return . Bool $ f x y | |
| numBool f [_,_] = throwError $ TypeMismatch "num" | |
| numBool f _ = throwError $ NumArgs 2 | |
| {- TODO: Make so it works on any amount of arguments | |
| (= 2 3 4 5) | |
| Should be possible for example -} | |
| equal :: [Expr] -> ErrorOr Expr | |
| equal [Bool x, Bool y] = return . Bool $ x == y | |
| equal [Num x, Num y] = return . Bool $ x == y | |
| equal [Str x, Str y] = return . Bool $ x == y | |
| equal [Sym x, Sym y] = return . Bool $ x == y | |
| equal [List x, List y] = | |
| return . Bool $ eqLength x y && (and $ map eqvPair $ zip x y) | |
| where | |
| eqLength z q = length z == length q | |
| eqvPair (z,q) = case equal [z,q] of | |
| Left _ -> False | |
| Right (Bool v) -> v | |
| equal [_,_] = return $ Bool False | |
| equal _ = throwError $ NumArgs 2 | |
| bool :: (Bool -> Bool -> Bool) -> [Expr] -> ErrorOr Expr | |
| bool f [] = throwError $ NumArgs 2 | |
| bool f x@[_] = throwError $ NumArgs 2 | |
| bool f [Bool x, Bool y] = return . Bool $ f x y | |
| bool f [_,_] = throwError $ TypeMismatch "bool" | |
| cons :: [Expr] -> ErrorOr Expr | |
| cons [x, List []] = return $ List [x] | |
| cons [x, List xs] = return . List $ [x] ++ xs | |
| cons _ = throwError $ NumArgs 2 | |
| car :: [Expr] -> ErrorOr Expr | |
| car [List (x:xs)] = return x | |
| car [_] = throwError $ TypeMismatch "list" | |
| car _ = throwError $ NumArgs 1 | |
| cdr :: [Expr] -> ErrorOr Expr | |
| cdr [List (x:xs)] = return $ List xs | |
| cdr [_] = throwError $ TypeMismatch "list" | |
| cdr _ = throwError $ NumArgs 1 | |
| -- Parser | |
| readExpr :: String -> ErrorOr Expr | |
| readExpr x = | |
| case parse parseExpr "lisp" x of | |
| Left err -> throwError $ Parser err | |
| Right y -> return y | |
| symbol :: Parser Char | |
| symbol = oneOf "!#$%&|*+-/:<=>?@^_~" | |
| parseSym :: Parser Expr | |
| parseSym = do | |
| x <- letter <|> symbol | |
| y <- many $ letter <|> digit <|> symbol | |
| return . Sym $ [x] ++ y | |
| parseNum :: Parser Expr | |
| parseNum = do | |
| x <- many1 digit | |
| return . Num $ read x | |
| parseStr :: Parser Expr | |
| parseStr = do | |
| char '"' | |
| x <- many $ noneOf "\"" | |
| char '"' | |
| return $ Str x | |
| parseBool :: Parser Expr | |
| parseBool = do | |
| x <- oneOf "TF" | |
| y <- many1 letter | |
| let bool = [x] ++ y | |
| return . Bool $ case bool of | |
| "True" -> True | |
| "False" -> False | |
| parseQtd :: Parser Expr | |
| parseQtd = do | |
| char '\'' | |
| x <- parseExpr | |
| return $ List [Sym "quote", x] | |
| parseList :: Parser Expr | |
| parseList = fmap List $ sepBy parseExpr space | |
| parseExpr :: Parser Expr | |
| parseExpr = | |
| parseNum <|> | |
| parseStr <|> | |
| parseBool <|> | |
| parseQtd <|> | |
| parseSym <|> | |
| do char '(' | |
| x <- parseList | |
| char ')' | |
| return x |
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