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] for n > 0. When n = 0, both the min and max bound are 0.

NB: The usual Haskell method of converting an integral numeric type to another, fromIntegral, is not well suited for Clash as it will go through Integer which is arbitrarily bounded in HDL. Instead use bitCoerce and the Resize class.
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) `mul` (4 :: Signed 4) :: Signed 7
8
>>> (2 :: Signed 3) `add` (3 :: Signed 3) :: Signed 4
5
>>> (-2 :: Signed 3) `add` (-3 :: Signed 3) :: Signed 4
-5
>>> satAdd SatSymmetric 2 3 :: Signed 3
3
>>> satAdd SatSymmetric (-2) (-3) :: Signed 3
-3

Signed has the type role

>>> :i Signed
type role Signed nominal
...

as it is not safe to coerce between different width Signed. To change the width, use the functions in the Resize class.

Instances

Instances details

Resize Signed Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods resize :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Signed a -> Signed b Source # extend :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Signed a -> Signed (b + a) Source # zeroExtend :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Signed a -> Signed (b + a) Source # signExtend :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Signed a -> Signed (b + a) Source # truncateB :: forall (a :: Nat) (b :: Nat). KnownNat a => Signed (a + b) -> Signed a Source #
KnownNat n => Lift (Signed n :: Type) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods lift :: Signed n -> Q Exp Source # liftTyped :: Signed n -> Q (TExp (Signed n)) Source #
KnownNat n => Bounded (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods minBound :: Signed n Source # maxBound :: Signed n Source #
KnownNat n => Enum (Signed n) Source #	The functions: `enumFrom`, `enumFromThen`, `enumFromTo`, and `enumFromThenTo`, are not synthesizable.
Instance details Defined in Clash.Sized.Internal.Signed Methods succ :: Signed n -> Signed n Source # pred :: Signed n -> Signed n Source # toEnum :: Int -> Signed n Source # fromEnum :: Signed n -> Int Source # enumFrom :: Signed n -> [Signed n] Source # enumFromThen :: Signed n -> Signed n -> [Signed n] Source # enumFromTo :: Signed n -> Signed n -> [Signed n] Source # enumFromThenTo :: Signed n -> Signed n -> Signed n -> [Signed n] Source #
Eq (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods (==) :: Signed n -> Signed n -> Bool Source # (/=) :: Signed n -> Signed n -> Bool Source #
KnownNat n => Integral (Signed n) Source #	NB: `toInteger`/`fromIntegral` can cause unexpected truncation, as `Integer` is arbitrarily bounded during synthesis. Prefer `bitCoerce` and the `Resize` class.
Instance details Defined in Clash.Sized.Internal.Signed Methods quot :: Signed n -> Signed n -> Signed n Source # rem :: Signed n -> Signed n -> Signed n Source # div :: Signed n -> Signed n -> Signed n Source # mod :: Signed n -> Signed n -> Signed n Source # quotRem :: Signed n -> Signed n -> (Signed n, Signed n) Source # divMod :: Signed n -> Signed n -> (Signed n, Signed n) Source # toInteger :: Signed n -> Integer Source #
KnownNat n => Data (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Signed n -> c (Signed n) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Signed n) Source # toConstr :: Signed n -> Constr Source # dataTypeOf :: Signed n -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Signed n)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Signed n)) Source # gmapT :: (forall b. Data b => b -> b) -> Signed n -> Signed n Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Signed n -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Signed n -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Signed n -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Signed n -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Signed n -> m (Signed n) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Signed n -> m (Signed n) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Signed n -> m (Signed n) Source #
KnownNat n => Num (Signed n) Source #	Operators do `wrap-around` on overflow NB: `fromInteger`/`fromIntegral` can cause unexpected truncation, as `Integer` is arbitrarily bounded during synthesis. Prefer `bitCoerce` and the `Resize` class.
Instance details Defined in Clash.Sized.Internal.Signed Methods (+) :: Signed n -> Signed n -> Signed n Source # (-) :: Signed n -> Signed n -> Signed n Source # (*) :: Signed n -> Signed n -> Signed n Source # negate :: Signed n -> Signed n Source # abs :: Signed n -> Signed n Source # signum :: Signed n -> Signed n Source # fromInteger :: Integer -> Signed n Source #
Ord (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods compare :: Signed n -> Signed n -> Ordering Source # (<) :: Signed n -> Signed n -> Bool Source # (<=) :: Signed n -> Signed n -> Bool Source # (>) :: Signed n -> Signed n -> Bool Source # (>=) :: Signed n -> Signed n -> Bool Source # max :: Signed n -> Signed n -> Signed n Source # min :: Signed n -> Signed n -> Signed n Source #
KnownNat n => Read (Signed n) Source #	None of the `Read` class' methods are synthesizable.
Instance details Defined in Clash.Sized.Internal.Signed Methods readsPrec :: Int -> ReadS (Signed n) Source # readList :: ReadS [Signed n] Source # readPrec :: ReadPrec (Signed n) Source # readListPrec :: ReadPrec [Signed n] Source #
KnownNat n => Real (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods toRational :: Signed n -> Rational Source #
Show (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods showsPrec :: Int -> Signed n -> ShowS Source # show :: Signed n -> String Source # showList :: [Signed n] -> ShowS Source #
KnownNat n => Ix (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods range :: (Signed n, Signed n) -> [Signed n] Source # index :: (Signed n, Signed n) -> Signed n -> Int Source # unsafeIndex :: (Signed n, Signed n) -> Signed n -> Int Source # inRange :: (Signed n, Signed n) -> Signed n -> Bool Source # rangeSize :: (Signed n, Signed n) -> Int Source # unsafeRangeSize :: (Signed n, Signed n) -> Int Source #
Generic (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Associated Types type Rep (Signed n) :: Type -> Type Source # Methods from :: Signed n -> Rep (Signed n) x Source # to :: Rep (Signed n) x -> Signed n Source #
KnownNat n => Arbitrary (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods arbitrary :: Gen (Signed n) Source # shrink :: Signed n -> [Signed n] Source #
KnownNat n => CoArbitrary (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods coarbitrary :: Signed n -> Gen b -> Gen b Source #
KnownNat n => PrintfArg (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods formatArg :: Signed n -> FieldFormatter Source # parseFormat :: Signed n -> ModifierParser Source #
KnownNat n => Bits (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods (.&.) :: Signed n -> Signed n -> Signed n Source # (.\|.) :: Signed n -> Signed n -> Signed n Source # xor :: Signed n -> Signed n -> Signed n Source # complement :: Signed n -> Signed n Source # shift :: Signed n -> Int -> Signed n Source # rotate :: Signed n -> Int -> Signed n Source # zeroBits :: Signed n Source # bit :: Int -> Signed n Source # setBit :: Signed n -> Int -> Signed n Source # clearBit :: Signed n -> Int -> Signed n Source # complementBit :: Signed n -> Int -> Signed n Source # testBit :: Signed n -> Int -> Bool Source # bitSizeMaybe :: Signed n -> Maybe Int Source # bitSize :: Signed n -> Int Source # isSigned :: Signed n -> Bool Source # shiftL :: Signed n -> Int -> Signed n Source # unsafeShiftL :: Signed n -> Int -> Signed n Source # shiftR :: Signed n -> Int -> Signed n Source # unsafeShiftR :: Signed n -> Int -> Signed n Source # rotateL :: Signed n -> Int -> Signed n Source # rotateR :: Signed n -> Int -> Signed n Source # popCount :: Signed n -> Int Source #
KnownNat n => FiniteBits (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods finiteBitSize :: Signed n -> Int Source # countLeadingZeros :: Signed n -> Int Source # countTrailingZeros :: Signed n -> Int Source #
KnownNat n => Default (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods def :: Signed n Source #
NFData (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods rnf :: Signed n -> () Source #
KnownNat n => Ixed (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods ix :: Index (Signed n) -> Traversal' (Signed n) (IxValue (Signed n)) Source #
KnownNat n => SaturatingNum (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods satAdd :: SaturationMode -> Signed n -> Signed n -> Signed n Source # satSub :: SaturationMode -> Signed n -> Signed n -> Signed n Source # satMul :: SaturationMode -> Signed n -> Signed n -> Signed n Source # satSucc :: SaturationMode -> Signed n -> Signed n Source # satPred :: SaturationMode -> Signed n -> Signed n Source #
NFDataX (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods deepErrorX :: String -> Signed n Source # hasUndefined :: Signed n -> Bool Source # ensureSpine :: Signed n -> Signed n Source # rnfX :: Signed n -> () Source #
ShowX (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed 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 Defined in Clash.Sized.Internal.Signed 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 #
KnownNat n => Parity (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Methods even :: Signed n -> Bool Source # odd :: Signed n -> Bool Source #
Bundle (Signed n) Source #
Instance details Defined in Clash.Signal.Bundle Associated Types type Unbundled dom (Signed n) = (res :: Type) Source # Methods bundle :: forall (dom :: Domain). Unbundled dom (Signed n) -> Signal dom (Signed n) Source # unbundle :: forall (dom :: Domain). Signal dom (Signed n) -> Unbundled dom (Signed n) Source #
KnownNat n => Counter (Signed n) Source #
Instance details Defined in Clash.Class.Counter.Internal Methods countMin :: Signed n Source # countMax :: Signed n Source # countSuccOverflow :: Signed n -> (Bool, Signed n) Source # countPredOverflow :: Signed n -> (Bool, Signed n) Source #
AutoReg (Signed n) Source #
Instance details Defined in Clash.Class.AutoReg.Internal Methods autoReg :: forall (dom :: Domain). (HasCallStack, KnownDomain dom) => Clock dom -> Reset dom -> Enable dom -> Signed n -> Signal dom (Signed n) -> Signal dom (Signed n) Source #
Bundle (Signed n) Source #
Instance details Defined in Clash.Signal.Delayed.Bundle Associated Types type Unbundled dom d (Signed n) = (res :: Type) Source # Methods bundle :: forall (dom :: Domain) (d :: Nat). Unbundled dom d (Signed n) -> DSignal dom d (Signed n) Source # unbundle :: forall (dom :: Domain) (d :: Nat). DSignal dom d (Signed n) -> Unbundled dom d (Signed n) Source #
KnownNat m => Exp (Signed m) Source #
Instance details Defined in Clash.Class.Exp Associated Types type ExpResult (Signed m) n Source # Methods (^) :: forall (n :: Nat). Signed m -> SNat n -> ExpResult (Signed m) n Source #
ExtendingNum (Signed m) (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed Associated Types type AResult (Signed m) (Signed n) Source # type MResult (Signed m) (Signed n) Source # Methods add :: Signed m -> Signed n -> AResult (Signed m) (Signed n) Source # sub :: Signed m -> Signed n -> AResult (Signed m) (Signed n) Source # mul :: Signed m -> Signed n -> MResult (Signed m) (Signed n) Source #
(KnownNat n, KnownNat m, (n + 1) <= m) => NumConvert (BitVector n) (Signed m) Source #	Note: Conversion from `BitVector 0` to `Signed 0` is lossless, but not within the constraints of the instance.
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvert :: BitVector n -> Signed m Source #
(KnownNat n, KnownNat m, 1 <= n, (CLog 2 n + 1) <= m) => NumConvert (Index n) (Signed m) Source #	Note: Conversion from `Index 1` to `Signed 0` is lossless, but not within the constraints of the instance.
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvert :: Index n -> Signed m Source #
(KnownNat n, KnownNat m, (n + 1) <= m) => NumConvert (Unsigned n) (Signed m) Source #	Note: Conversion from `Unsigned 0` to `Signed 0` is lossless, but not within the constraints of the instance.
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvert :: Unsigned n -> Signed m Source #
(KnownNat n, KnownNat m, n <= m) => NumConvert (Signed n) (Signed m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvert :: Signed n -> Signed m Source #
(KnownNat n, KnownNat m) => MaybeNumConvert (BitVector n) (Signed m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvert :: BitVector n -> Maybe (Signed m) Source #
(KnownNat n, KnownNat m, 1 <= n) => MaybeNumConvert (Index n) (Signed m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvert :: Index n -> Maybe (Signed m) Source #
(KnownNat n, KnownNat m) => MaybeNumConvert (Unsigned n) (Signed m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvert :: Unsigned n -> Maybe (Signed m) Source #
(KnownNat n, KnownNat m) => MaybeNumConvert (Signed n) (BitVector m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvert :: Signed n -> Maybe (BitVector m) Source #
(KnownNat n, KnownNat m) => MaybeNumConvert (Signed n) (Signed m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvert :: Signed n -> Maybe (Signed m) Source #
(KnownNat n, KnownNat m) => MaybeNumConvert (Signed n) (Unsigned m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvert :: Signed n -> Maybe (Unsigned m) Source #
(KnownNat n, KnownNat m) => MaybeNumConvert (Signed n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvert :: Signed n -> Maybe (Index m) Source #
type Unbundled dom d (Signed n) Source #
Instance details Defined in Clash.Signal.Delayed.Bundle type Unbundled dom d (Signed n) = DSignal dom d (Signed n)
type Unbundled dom (Signed n) Source #
Instance details Defined in Clash.Signal.Bundle type Unbundled dom (Signed n) = Signal dom (Signed n)
type TryDomain t (Signed n) Source #
Instance details Defined in Clash.Class.HasDomain.HasSingleDomain type TryDomain t (Signed n) = 'NotFound
type Rep (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed type Rep (Signed n) = D1 ('MetaData "Signed" "Clash.Sized.Internal.Signed" "clash-prelude-1.9.0-inplace" 'True) (C1 ('MetaCons "S" 'PrefixI 'True) (S1 ('MetaSel ('Just "unsafeToInteger") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Integer)))
type Index (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed type Index (Signed n) = Int
type IxValue (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed type IxValue (Signed n) = Bit
type BitSize (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed type BitSize (Signed n) = n
type ExpResult (Signed m) n Source #
Instance details Defined in Clash.Class.Exp type ExpResult (Signed m) n = Signed (Max 2 (m * n))
type AResult (Signed m) (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed type AResult (Signed m) (Signed n) = Signed (Max m n + 1)
type MResult (Signed m) (Signed n) Source #
Instance details Defined in Clash.Sized.Internal.Signed type MResult (Signed m) (Signed n) = Signed (m + n)