Copyright	(C) 2013-2016 University of Twente
License	BSD2 (see the file LICENSE)
Maintainer	Christiaan Baaij <christiaan.baaij@gmail.com>
Safe Haskell	Trustworthy
Language	Haskell2010

Clash.Sized.Signed

Description

Synopsis

data Signed (n :: Nat)

Documentation

data Signed (n :: Nat) Source #

Arbitrary-width signed integer represented by n bits, including the sign bit.

Uses standard 2-complements representation. Meaning that, given n bits, a Signed n number has a range of: [-(2^(n-1)) .. 2^(n-1)-1]

NB: The Num operators perform wrap-around on overflow. If you want saturation on overflow, check out the SaturatingNum class.

>>> maxBound :: Signed 3
3
>>> minBound :: Signed 3
-4
>>> read (show (minBound :: Signed 3)) :: Signed 3
-4
>>> 1 + 2 :: Signed 3
3
>>> 2 + 3 :: Signed 3
-3
>>> (-2) + (-3) :: Signed 3
3
>>> 2 * 3 :: Signed 4
6
>>> 2 * 4 :: Signed 4
-8
>>> (2 :: Signed 3) `times` (4 :: Signed 4) :: Signed 7
8
>>> (2 :: Signed 3) `plus` (3 :: Signed 3) :: Signed 4
5
>>> (-2 :: Signed 3) `plus` (-3 :: Signed 3) :: Signed 4
-5
>>> satPlus SatSymmetric 2 3 :: Signed 3
3
>>> satPlus SatSymmetric (-2) (-3) :: Signed 3
-3

Instances

Resize Signed Source #
Instance details Methods resize :: (KnownNat a, KnownNat b) => Signed a -> Signed b Source # extend :: (KnownNat a, KnownNat b) => Signed a -> Signed (b + a) Source # zeroExtend :: (KnownNat a, KnownNat b) => Signed a -> Signed (b + a) Source # signExtend :: (KnownNat a, KnownNat b) => Signed a -> Signed (b + a) Source # truncateB :: KnownNat a => Signed (a + b) -> Signed a Source #
KnownNat n => Bounded (Signed n) Source #
Instance details Methods minBound :: Signed n # maxBound :: Signed n #
KnownNat n => Enum (Signed n) Source #	The functions: `enumFrom`, `enumFromThen`, `enumFromTo`, and `enumFromThenTo`, are not synthesisable.
Instance details Methods succ :: Signed n -> Signed n # pred :: Signed n -> Signed n # toEnum :: Int -> Signed n # fromEnum :: Signed n -> Int # enumFrom :: Signed n -> [Signed n] # enumFromThen :: Signed n -> Signed n -> [Signed n] # enumFromTo :: Signed n -> Signed n -> [Signed n] # enumFromThenTo :: Signed n -> Signed n -> Signed n -> [Signed n] #
Eq (Signed n) Source #
Instance details Methods (==) :: Signed n -> Signed n -> Bool # (/=) :: Signed n -> Signed n -> Bool #
KnownNat n => Integral (Signed n) Source #
Instance details Methods quot :: Signed n -> Signed n -> Signed n # rem :: Signed n -> Signed n -> Signed n # div :: Signed n -> Signed n -> Signed n # mod :: Signed n -> Signed n -> Signed n # quotRem :: Signed n -> Signed n -> (Signed n, Signed n) # divMod :: Signed n -> Signed n -> (Signed n, Signed n) # toInteger :: Signed n -> Integer #
KnownNat n => Data (Signed n) Source #
Instance details Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Signed n -> c (Signed n) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Signed n) # toConstr :: Signed n -> Constr # dataTypeOf :: Signed n -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Signed n)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Signed n)) # gmapT :: (forall b. Data b => b -> b) -> Signed n -> Signed n # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Signed n -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Signed n -> r # gmapQ :: (forall d. Data d => d -> u) -> Signed n -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Signed n -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Signed n -> m (Signed n) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Signed n -> m (Signed n) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Signed n -> m (Signed n) #
KnownNat n => Num (Signed n) Source #	Operators do `wrap-around` on overflow
Instance details Methods (+) :: Signed n -> Signed n -> Signed n # (-) :: Signed n -> Signed n -> Signed n # (*) :: Signed n -> Signed n -> Signed n # negate :: Signed n -> Signed n # abs :: Signed n -> Signed n # signum :: Signed n -> Signed n # fromInteger :: Integer -> Signed n #
Ord (Signed n) Source #
Instance details Methods compare :: Signed n -> Signed n -> Ordering # (<) :: Signed n -> Signed n -> Bool # (<=) :: Signed n -> Signed n -> Bool # (>) :: Signed n -> Signed n -> Bool # (>=) :: Signed n -> Signed n -> Bool # max :: Signed n -> Signed n -> Signed n # min :: Signed n -> Signed n -> Signed n #
KnownNat n => Read (Signed n) Source #	None of the `Read` class' methods are synthesisable.
Instance details Methods readsPrec :: Int -> ReadS (Signed n) # readList :: ReadS [Signed n] # readPrec :: ReadPrec (Signed n) # readListPrec :: ReadPrec [Signed n] #
KnownNat n => Real (Signed n) Source #
Instance details Methods toRational :: Signed n -> Rational #
Show (Signed n) Source #
Instance details Methods showsPrec :: Int -> Signed n -> ShowS # show :: Signed n -> String # showList :: [Signed n] -> ShowS #
KnownNat n => Lift (Signed n) Source #
Instance details Methods lift :: Signed n -> Q Exp #
KnownNat n => Arbitrary (Signed n) Source #
Instance details Methods arbitrary :: Gen (Signed n) # shrink :: Signed n -> [Signed n] #
KnownNat n => CoArbitrary (Signed n) Source #
Instance details Methods coarbitrary :: Signed n -> Gen b -> Gen b #
KnownNat n => Bits (Signed n) Source #
Instance details Methods (.&.) :: Signed n -> Signed n -> Signed n # (.\|.) :: Signed n -> Signed n -> Signed n # xor :: Signed n -> Signed n -> Signed n # complement :: Signed n -> Signed n # shift :: Signed n -> Int -> Signed n # rotate :: Signed n -> Int -> Signed n # zeroBits :: Signed n # bit :: Int -> Signed n # setBit :: Signed n -> Int -> Signed n # clearBit :: Signed n -> Int -> Signed n # complementBit :: Signed n -> Int -> Signed n # testBit :: Signed n -> Int -> Bool # bitSizeMaybe :: Signed n -> Maybe Int # bitSize :: Signed n -> Int # isSigned :: Signed n -> Bool # shiftL :: Signed n -> Int -> Signed n # unsafeShiftL :: Signed n -> Int -> Signed n # shiftR :: Signed n -> Int -> Signed n # unsafeShiftR :: Signed n -> Int -> Signed n # rotateL :: Signed n -> Int -> Signed n # rotateR :: Signed n -> Int -> Signed n # popCount :: Signed n -> Int #
KnownNat n => FiniteBits (Signed n) Source #
Instance details Methods finiteBitSize :: Signed n -> Int # countLeadingZeros :: Signed n -> Int # countTrailingZeros :: Signed n -> Int #
KnownNat n => Default (Signed n) Source #
Instance details Methods def :: Signed n #
NFData (Signed n) Source #
Instance details Methods rnf :: Signed n -> () #
KnownNat n => Ixed (Signed n) Source #
Instance details Methods ix :: Index (Signed n) -> Traversal' (Signed n) (IxValue (Signed n)) #
KnownNat n => SaturatingNum (Signed n) Source #
Instance details Methods satPlus :: SaturationMode -> Signed n -> Signed n -> Signed n Source # satMin :: SaturationMode -> Signed n -> Signed n -> Signed n Source # satMult :: SaturationMode -> Signed n -> Signed n -> Signed n Source #
ShowX (Signed n) Source #
Instance details Methods showsPrecX :: Int -> Signed n -> ShowS Source # showX :: Signed n -> String Source # showListX :: [Signed n] -> ShowS Source #
KnownNat n => BitPack (Signed n) Source #
Instance details Associated Types type BitSize (Signed n) :: Nat Source # Methods pack :: Signed n -> BitVector (BitSize (Signed n)) Source # unpack :: BitVector (BitSize (Signed n)) -> Signed n Source #
Bundle (Signed n) Source #
Instance details Associated Types type Unbundled domain (Signed n) = (res :: *) Source # Methods bundle :: Unbundled domain (Signed n) -> Signal domain (Signed n) Source # unbundle :: Signal domain (Signed n) -> Unbundled domain (Signed n) Source #
ExtendingNum (Signed m) (Signed n) Source #
Instance details Associated Types type AResult (Signed m) (Signed n) :: * Source # type MResult (Signed m) (Signed n) :: * Source # Methods plus :: Signed m -> Signed n -> AResult (Signed m) (Signed n) Source # minus :: Signed m -> Signed n -> AResult (Signed m) (Signed n) Source # times :: Signed m -> Signed n -> MResult (Signed m) (Signed n) Source #
type Unbundled domain (Signed n) Source #
Instance details type Unbundled domain (Signed n) = Signal domain (Signed n)
type Index (Signed n) Source #
Instance details type Index (Signed n) = Int
type IxValue (Signed n) Source #
Instance details type IxValue (Signed n) = Bit
type BitSize (Signed n) Source #
Instance details type BitSize (Signed n) = n
type AResult (Signed m) (Signed n) Source #
Instance details type AResult (Signed m) (Signed n) = Signed (Max m n + 1)
type MResult (Signed m) (Signed n) Source #
Instance details type MResult (Signed m) (Signed n) = Signed (m + n)