--- /dev/null
+{-# LANGUAGE TypeFamilies, TypeOperators, ScopedTypeVariables, FlexibleInstances, TemplateHaskell, Rank2Types, FlexibleContexts #-}
+module Data.Param.Unsigned
+ ( Unsigned
+ , resize
+ , fromIndex
+ ) 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 (Unsigned nT) where
+ lift (Unsigned i) = sigE [| (Unsigned i) |] (decUnsignedT (fromIntegerT (undefined :: nT)))
+
+decUnsignedT :: Integer -> Q Type
+decUnsignedT n = appT (conT (''Unsigned)) (decLiteralT n)
+
+fromIndex ::
+ ( NaturalT nT
+ , NaturalT nT'
+ , ((Pow2 nT') :>: nT) ~ True
+ , Integral (Index nT)
+ ) => Index nT -> Unsigned nT'
+fromIndex index = Unsigned (toInteger index)
+
+resize :: (NaturalT nT, NaturalT nT') => Unsigned nT -> Unsigned nT'
+resize a = fromInteger (toInteger a)
+
+sizeT :: Unsigned nT
+ -> nT
+sizeT _ = undefined
+
+mask :: forall nT . NaturalT nT
+ => nT
+ -> Integer
+mask _ = bit (fromIntegerT (undefined :: nT)) - 1
+
+instance NaturalT nT => Eq (Unsigned nT) where
+ (Unsigned x) == (Unsigned y) = x == y
+ (Unsigned x) /= (Unsigned y) = x /= y
+
+instance NaturalT nT => Show (Unsigned nT) where
+ showsPrec prec n =
+ showsPrec prec $ toInteger n
+
+instance NaturalT nT => Read (Unsigned nT) where
+ readsPrec prec str =
+ [ (fromInteger n, str)
+ | (n, str) <- readsPrec prec str ]
+
+instance NaturalT nT => Ord (Unsigned nT) where
+ a `compare` b = toInteger a `compare` toInteger b
+
+instance NaturalT nT => Bounded (Unsigned nT) where
+ minBound = 0
+ maxBound = Unsigned $ (1 `shiftL` (fromIntegerT (undefined :: nT))) - 1
+
+instance NaturalT nT => Enum (Unsigned nT) where
+ succ x
+ | x == maxBound = error $ "Enum.succ{Unsigned " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `succ' of maxBound"
+ | otherwise = x + 1
+ pred x
+ | x == minBound = error $ "Enum.succ{Unsigned " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `pred' of minBound"
+ | otherwise = x - 1
+
+ fromEnum (Unsigned x)
+ | x > toInteger (maxBound :: Int) =
+ error $ "Enum.fromEnum{Unsigned " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on Unsigned greater than maxBound :: Int"
+ | x < toInteger (minBound :: Int) =
+ error $ "Enum.fromEnum{Unsigned " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on Unsigned smaller than minBound :: Int"
+ | otherwise =
+ fromInteger x
+ toEnum x
+ | x > fromIntegral (maxBound :: Unsigned nT) =
+ error $ "Enum.fromEnum{Unsigned " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on Unsigned greater than maxBound :: Unsigned " ++ show (fromIntegerT (undefined :: nT))
+ | x < fromIntegral (minBound :: Unsigned nT) =
+ error $ "Enum.fromEnum{Unsigned " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on Unsigned smaller than minBound :: Unsigned " ++ show (fromIntegerT (undefined :: nT))
+ | otherwise =
+ fromInteger $ toInteger x
+
+instance NaturalT nT => Num (Unsigned nT) where
+ (Unsigned a) + (Unsigned b) =
+ fromInteger $ a + b
+ (Unsigned a) * (Unsigned b) =
+ fromInteger $ a * b
+ negate s@(Unsigned n) =
+ fromInteger $ (n `xor` mask (sizeT s)) + 1
+ a - b =
+ a + (negate b)
+
+ fromInteger n
+ | n > 0 =
+ Unsigned $ n .&. mask (undefined :: nT)
+ fromInteger n
+ | n < 0 =
+ negate $ fromInteger $ negate n
+ fromInteger _ =
+ Unsigned 0
+
+ abs s = s
+ signum s
+ | s == 0 =
+ 0
+ | otherwise =
+ 1
+
+instance NaturalT nT => Real (Unsigned nT) where
+ toRational n = toRational $ toInteger n
+
+instance NaturalT nT => Integral (Unsigned 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@(Unsigned x) = x
+
+instance NaturalT nT => Bits (Unsigned nT) where
+ (Unsigned a) .&. (Unsigned b) = Unsigned $ a .&. b
+ (Unsigned a) .|. (Unsigned b) = Unsigned $ a .|. b
+ (Unsigned a) `xor` Unsigned b = Unsigned $ a `xor` b
+ complement (Unsigned x) = Unsigned $ x `xor` mask (undefined :: nT)
+ s@(Unsigned x) `shiftL` b
+ | b < 0 = error $ "Bits.shiftL{Unsigned " ++ show (bitSize s) ++ "}: tried to shift by negative amount"
+ | otherwise =
+ Unsigned $ mask (undefined :: nT) .&. (x `shiftL` b)
+ s@(Unsigned x) `shiftR` b
+ | b < 0 = error $ "Bits.shiftR{Unsigned " ++ show (bitSize s) ++ "}: tried to shift by negative amount"
+ | otherwise =
+ Unsigned $ (x `shiftR` b)
+ s@(Unsigned x) `rotateL` b
+ | b < 0 =
+ error $ "Bits.rotateL{Unsigned " ++ show (bitSize s) ++ "}: tried to rotate by negative amount"
+ | otherwise =
+ Unsigned $ mask (undefined :: nT) .&.
+ ((x `shiftL` b) .|. (x `shiftR` (bitSize s - b)))
+ s@(Unsigned x) `rotateR` b
+ | b < 0 =
+ error $ "Bits.rotateR{Unsigned " ++ show (bitSize s) ++ "}: tried to rotate by negative amount"
+ | otherwise =
+ Unsigned $ mask (undefined :: nT) .&.
+ ((x `shiftR` b) .|. (x `shiftL` (bitSize s - b)))
+ bitSize _ = fromIntegerT (undefined :: nT)
+ isSigned _ = False