module Data.SizedWord
( SizedWord ) where
import Data.Bits
import Types
newtype (NaturalT nT) => SizedWord nT = SizedWord Integer
sizeT :: SizedWord nT
-> nT
sizeT _ = undefined
mask :: forall nT . NaturalT nT
=> nT
-> Integer
mask _ = bit (fromIntegerT (undefined :: nT)) 1
instance NaturalT nT => Eq (SizedWord nT) where
(SizedWord x) == (SizedWord y) = x == y
(SizedWord x) /= (SizedWord y) = x /= y
instance NaturalT nT => Show (SizedWord nT) where
showsPrec prec n =
showsPrec prec $ toInteger n
instance NaturalT nT => Read (SizedWord nT) where
readsPrec prec str =
[ (fromInteger n, str)
| (n, str) <- readsPrec prec str ]
instance NaturalT nT => Ord (SizedWord nT) where
a `compare` b = toInteger a `compare` toInteger b
instance NaturalT nT => Bounded (SizedWord nT) where
minBound = 0
maxBound = SizedWord $ (1 `shiftL` (fromIntegerT (undefined :: nT))) 1
instance NaturalT nT => Enum (SizedWord nT) where
succ x
| x == maxBound = error $ "Enum.succ{SizedWord " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `succ' of maxBound"
| otherwise = x + 1
pred x
| x == minBound = error $ "Enum.succ{SizedWord " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `pred' of minBound"
| otherwise = x 1
fromEnum (SizedWord x)
| x > toInteger (maxBound :: Int) =
error $ "Enum.fromEnum{SizedWord " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on SizedWord greater than maxBound :: Int"
| x < toInteger (minBound :: Int) =
error $ "Enum.fromEnum{SizedWord " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on SizedWord smaller than minBound :: Int"
| otherwise =
fromInteger x
toEnum x
| x > fromIntegral (maxBound :: SizedWord nT) =
error $ "Enum.fromEnum{SizedWord " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on SizedWord greater than maxBound :: SizedWord " ++ show (fromIntegerT (undefined :: nT))
| x < fromIntegral (minBound :: SizedWord nT) =
error $ "Enum.fromEnum{SizedWord " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on SizedWord smaller than minBound :: SizedWord " ++ show (fromIntegerT (undefined :: nT))
| otherwise =
fromInteger $ toInteger x
instance NaturalT nT => Num (SizedWord nT) where
(SizedWord a) + (SizedWord b) =
fromInteger $ a + b
(SizedWord a) * (SizedWord b) =
fromInteger $ a * b
negate s@(SizedWord n) =
fromInteger $ (n `xor` mask (sizeT s)) + 1
a b =
a + (negate b)
fromInteger n
| n > 0 =
SizedWord $ n .&. mask (undefined :: nT)
fromInteger n
| n < 0 =
negate $ fromInteger $ negate n
fromInteger _ =
SizedWord 0
abs s = s
signum s
| s == 0 =
0
| otherwise =
1
instance NaturalT nT => Real (SizedWord nT) where
toRational n = toRational $ toInteger n
instance NaturalT nT => Integral (SizedWord nT) where
a `quot` b =
fromInteger $ toInteger a `quot` toInteger b
a `rem` b =
fromInteger $ toInteger a `rem` toInteger b
a `div` b =
fromInteger $ toInteger a `div` toInteger b
a `mod` b =
fromInteger $ toInteger a `mod` toInteger b
a `quotRem` b =
let (quot, rem) = toInteger a `quotRem` toInteger b
in (fromInteger quot, fromInteger rem)
a `divMod` b =
let (div, mod) = toInteger a `divMod` toInteger b
in (fromInteger div, fromInteger mod)
toInteger s@(SizedWord x) = x
instance NaturalT nT => Bits (SizedWord nT) where
(SizedWord a) .&. (SizedWord b) = SizedWord $ a .&. b
(SizedWord a) .|. (SizedWord b) = SizedWord $ a .|. b
(SizedWord a) `xor` SizedWord b = SizedWord $ a `xor` b
complement (SizedWord x) = SizedWord $ x `xor` mask (undefined :: nT)
s@(SizedWord x) `shiftL` b
| b < 0 = error $ "Bits.shiftL{SizedWord " ++ show (bitSize s) ++ "}: tried to shift by negative amount"
| otherwise =
SizedWord $ mask (undefined :: nT) .&. (x `shiftL` b)
s@(SizedWord x) `shiftR` b
| b < 0 = error $ "Bits.shiftR{SizedWord " ++ show (bitSize s) ++ "}: tried to shift by negative amount"
| otherwise =
SizedWord $ (x `shiftR` b)
s@(SizedWord x) `rotateL` b
| b < 0 =
error $ "Bits.rotateL{SizedWord " ++ show (bitSize s) ++ "}: tried to rotate by negative amount"
| otherwise =
SizedWord $ mask (undefined :: nT) .&.
((x `shiftL` b) .|. (x `shiftR` (bitSize s b)))
s@(SizedWord x) `rotateR` b
| b < 0 =
error $ "Bits.rotateR{SizedWord " ++ show (bitSize s) ++ "}: tried to rotate by negative amount"
| otherwise =
SizedWord $ mask (undefined :: nT) .&.
((x `shiftR` b) .|. (x `shiftL` (bitSize s b)))
bitSize _ = fromIntegerT (undefined :: nT)
isSigned _ = False