module Data.Param.Signed
( Signed
, resize
) where
import Language.Haskell.TH
import Language.Haskell.TH.Syntax (Lift(..))
import Data.Bits
import Types
import Types.Data.Num.Decimal.Literals.TH
import Data.Param.Integer
instance NaturalT nT => Lift (Signed nT) where
lift (Signed i) = sigE [| (Signed i) |] (decSignedT (fromIntegerT (undefined :: nT)))
decSignedT :: Integer -> Q Type
decSignedT n = appT (conT (''Signed)) (decLiteralT n)
resize :: (NaturalT nT, NaturalT nT') => Signed nT -> Signed nT'
resize a = fromInteger (toInteger a)
sizeT :: Signed nT
-> nT
sizeT _ = undefined
mask :: forall nT . NaturalT nT
=> nT
-> Integer
mask _ = bit (fromIntegerT (undefined :: nT)) 1
signBit :: forall nT . NaturalT nT
=> nT
-> Int
signBit _ = fromIntegerT (undefined :: nT) 1
isNegative :: forall nT . NaturalT nT
=> Signed nT
-> Bool
isNegative (Signed x) =
testBit x $ signBit (undefined :: nT)
instance NaturalT nT => Eq (Signed nT) where
(Signed x) == (Signed y) = x == y
(Signed x) /= (Signed y) = x /= y
instance NaturalT nT => Show (Signed nT) where
showsPrec prec n =
showsPrec prec $ toInteger n
instance NaturalT nT => Read (Signed nT) where
readsPrec prec str =
[ (fromInteger n, str)
| (n, str) <- readsPrec prec str ]
instance NaturalT nT => Ord (Signed nT) where
a `compare` b = toInteger a `compare` toInteger b
instance NaturalT nT => Bounded (Signed nT) where
minBound = Signed $ negate $ 1 `shiftL` (fromIntegerT (undefined :: nT) 1)
maxBound = Signed $ (1 `shiftL` (fromIntegerT (undefined :: nT) 1)) 1
instance NaturalT nT => Enum (Signed nT) where
succ x
| x == maxBound = error $ "Enum.succ{Signed " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `succ' of maxBound"
| otherwise = x + 1
pred x
| x == minBound = error $ "Enum.succ{Signed " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `pred' of minBound"
| otherwise = x 1
fromEnum (Signed x)
| x > toInteger (maxBound :: Int) =
error $ "Enum.fromEnum{Signed " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on Signed greater than maxBound :: Int"
| x < toInteger (minBound :: Int) =
error $ "Enum.fromEnum{Signed " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on Signed smaller than minBound :: Int"
| otherwise =
fromInteger x
toEnum x
| x' > toInteger (maxBound :: Signed nT) =
error $ "Enum.fromEnum{Signed " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on Signed greater than maxBound :: Signed " ++ show (fromIntegerT (undefined :: nT))
| x' < toInteger (minBound :: Signed nT) =
error $ "Enum.fromEnum{Signed " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on Signed smaller than minBound :: Signed " ++ show (fromIntegerT (undefined :: nT))
| otherwise =
fromInteger x'
where x' = toInteger x
instance NaturalT nT => Num (Signed nT) where
(Signed a) + (Signed b) =
fromInteger $ a + b
(Signed a) * (Signed b) =
fromInteger $ a * b
negate (Signed n) =
fromInteger $ (n `xor` mask (undefined :: nT)) + 1
a b =
a + (negate b)
fromInteger n
| n > 0 =
Signed $ n .&. mask (undefined :: nT)
fromInteger n
| n < 0 =
negate $ fromInteger $ negate n
fromInteger _ =
Signed 0
abs s
| isNegative s =
negate s
| otherwise =
s
signum s
| isNegative s =
1
| s == 0 =
0
| otherwise =
1
instance NaturalT nT => Real (Signed nT) where
toRational n = toRational $ toInteger n
instance NaturalT nT => Integral (Signed 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@(Signed x) =
if isNegative s
then let Signed x' = negate s in negate x'
else x
instance NaturalT nT => Bits (Signed nT) where
(Signed a) .&. (Signed b) = Signed $ a .&. b
(Signed a) .|. (Signed b) = Signed $ a .|. b
(Signed a) `xor` Signed b = Signed $ a `xor` b
complement (Signed x) = Signed $ x `xor` mask (undefined :: nT)
(Signed x) `shiftL` b
| b < 0 = error $ "Bits.shiftL{Signed " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to shift by negative amount"
| otherwise =
Signed $ mask (undefined :: nT) .&. (x `shiftL` b)
s@(Signed x) `shiftR` b
| b < 0 = error $ "Bits.shiftR{Signed " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to shift by negative amount"
| isNegative s =
Signed $ mask (undefined :: nT) .&.
((x `shiftR` b) .|. (mask (undefined :: nT) `shiftL` (fromIntegerT (undefined :: nT) b)))
| otherwise =
Signed $ (mask (undefined :: nT)) .&. (x `shiftR` b)
(Signed a) `rotateL` b
| b < 0 =
error $ "Bits.rotateL{Signed " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to rotate by negative amount"
| otherwise =
Signed $ mask (undefined :: nT) .&.
((a `shiftL` b) .|. (a `shiftR` (fromIntegerT (undefined :: nT) b)))
(Signed a) `rotateR` b
| b < 0 =
error $ "Bits.rotateR{Signed " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to rotate by negative amount"
| otherwise =
Signed $ mask (undefined :: nT) .&.
((a `shiftR` b) .|. (a `shiftL` (fromIntegerT (undefined :: nT) b)))
bitSize _ = fromIntegerT (undefined :: nT)
isSigned _ = True