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module Operators (primitives) where
import Base
import Control.Monad.Except
import Error.Base (LispError (..), LispResult (..))
primitives :: [(String, [Expr] -> LispResult Expr)]
primitives = map (\(n, f) -> (n, f n))
[
("+", arithmetic (+))
, ("-", arithmetic (-))
, ("*", arithmetic (*))
, ("/", arithmetic (/))
, (">", comparator (>))
, ("<", comparator (<))
, (">=", comparator (>=))
, ("<=", comparator (<=))
, ("=" , comparator (==))
, ("!=" , comparator (/=))
, ("not", unaryBool not)
, ("or", naryBool (||))
, ("and", naryBool (&&))
, ("car", car)
, ("cdr", cdr)
, ("cons", cons)
, ("null?", isNull)
]
data LispNumber = I Integer
| F Double
deriving (Eq, Ord)
instance Num LispNumber where
-- TODO:
-- float op anything = float
-- int op int = int
-- int op float = float
(I a) + (I b) = I $ a + b
(F a) + (F b) = F $ a + b
(I a) - (I b) = I $ a - b
(F a) - (F b) = F $ a - b
(I a) * (I b) = I $ a * b
(F a) * (F b) = F $ a * b
instance Fractional LispNumber where
(I a) / (I b) = F $ fromIntegral a / fromIntegral b
(F a) / (I b) = F $ a / fromIntegral b
(I a) / (F b) = F $ fromIntegral a / b
(F a) / (F b) = F $ a / b
type FName = String
type Arithmetic = LispNumber -> LispNumber -> LispNumber
type Comparator = LispNumber -> LispNumber -> Bool
type UnaryBool = Bool -> Bool
type NaryBool = Bool -> Bool -> Bool
arithmetic :: Arithmetic -> FName -> [Expr] -> LispResult Expr
arithmetic op name args
| null args = throwError $ ArgCount name 1 args
| otherwise = do
as <- mapM unwrapNum args
return . wrapNum $ foldl1 op as
comparator :: Comparator -> FName -> [Expr] -> LispResult Expr
comparator op name args
| length args < 2 = throwError $ ArgCount name 2 args
| otherwise = do
as <- mapM unwrapNum args
return . BoolLiteral . all (== True) $ zipWith op as (tail as)
unaryBool :: UnaryBool -> FName -> [Expr] -> LispResult Expr
unaryBool op name args
| length args /= 1 = throwError $ ArgCount name 1 args
| otherwise = BoolLiteral . op <$> unwrapBool (head args)
naryBool :: NaryBool -> FName -> [Expr] -> LispResult Expr
naryBool op name args
| length args < 2 = throwError $ ArgCount name 2 args
| otherwise = do
as <- mapM unwrapBool args
return . BoolLiteral $ foldl1 op as
unwrapNum :: Expr -> LispResult LispNumber
unwrapNum (IntLiteral n) = return $ I n
unwrapNum (FloatLiteral n) = return $ F n
unwrapNum x = throwError $ TypeMismatch "number" x
wrapNum :: LispNumber -> Expr
wrapNum (I n) = IntLiteral n
wrapNum (F n) = FloatLiteral n
unwrapBool :: Expr -> LispResult Bool
unwrapBool (BoolLiteral s) = return s
unwrapBool x = throwError $ TypeMismatch "boolean" x
-- list primitives
car :: FName -> [Expr] -> LispResult Expr
car _ [List (x:xs)] = return x
car _ [DottedList (x:xs) _ ] = return x
car _ [somethingElse] = throwError $ TypeMismatch "pair" somethingElse
car fn mulArgs = throwError $ ArgCount fn 1 mulArgs
cdr :: FName -> [Expr] -> LispResult Expr
cdr _ [List (x:xs)] = return $ List xs
cdr _ [DottedList [_] tail] = return tail
cdr _ [DottedList (_:xs) t] = return $ DottedList xs t
cdr _ [somethingElse] = throwError $ TypeMismatch "pair" somethingElse
cdr fn mulArgs = throwError $ ArgCount fn 1 mulArgs
cons :: FName -> [Expr] -> LispResult Expr
cons _ [val, List []] = return $ List [val]
cons _ [val, List ls] = return $ List $ val:ls
cons _ [val, DottedList ls tail] = return $ DottedList (val:ls) tail
cons _ [v1, v2] = return $ DottedList [v1] v2
cons fn mulArgs = throwError $ ArgCount fn 2 mulArgs
isNull :: FName -> [Expr] -> LispResult Expr
isNull _ [List []] = return $ BoolLiteral True
isNull _ [List _] = return $ BoolLiteral False
isNull _ [arg] = throwError $ TypeMismatch "pair" arg
isNull fn args = throwError $ ArgCount fn 1 args
|
