Clash.Sized.Internal.Unsigned

Datatypes

newtype Unsigned (n :: Nat)

Arbitrary-width unsigned integer represented by n bits

Given n bits, an Unsigned n number has a range of: [0 .. 2^n-1]

• 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 :: Unsigned 3
7
>>> minBound :: Unsigned 3
0
>>> read (show (maxBound :: Unsigned 3)) :: Unsigned 3
7
>>> 1 + 2 :: Unsigned 3
3
>>> 2 + 6 :: Unsigned 3
0
>>> 1 - 3 :: Unsigned 3
6
>>> 2 * 3 :: Unsigned 3
6
>>> 2 * 4 :: Unsigned 3
0
>>> (2 :: Unsigned 3) `mul` (4 :: Unsigned 3) :: Unsigned 6
8
>>> (2 :: Unsigned 3) `add` (6 :: Unsigned 3) :: Unsigned 4
8
>>> satAdd SatSymmetric 2 6 :: Unsigned 3
7
>>> satSub SatSymmetric 2 3 :: Unsigned 3
0

Unsigned has the type role

>>> :i Unsigned
type role Unsigned nominal
...

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

Constructors

U

The constructor, U, and the field, unsafeToNatural, are not synthesizable.

Fields

• unsafeToNatural :: Natural

Instances

Resize Unsigned

Defined in Clash.Sized.Internal.Unsigned

Methods

resize :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Unsigned a -> Unsigned b

extend :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Unsigned a -> Unsigned (b + a)

zeroExtend :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Unsigned a -> Unsigned (b + a)

signExtend :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Unsigned a -> Unsigned (b + a)

truncateB :: forall (a :: Nat) (b :: Nat). KnownNat a => Unsigned (a + b) -> Unsigned a

KnownNat n => Lift (Unsigned n :: Type)

Defined in Clash.Sized.Internal.Unsigned

Methods

lift :: Unsigned n -> Q Exp

liftTyped :: Unsigned n -> Q (TExp (Unsigned n))

KnownNat n => Bounded (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

minBound :: Unsigned n

maxBound :: Unsigned n

KnownNat n => Enum (Unsigned n)

The functions: enumFrom, enumFromThen, enumFromTo, and enumFromThenTo, are not synthesizable.

Defined in Clash.Sized.Internal.Unsigned

Methods

succ :: Unsigned n -> Unsigned n

pred :: Unsigned n -> Unsigned n

toEnum :: Int -> Unsigned n

fromEnum :: Unsigned n -> Int

enumFrom :: Unsigned n -> [Unsigned n]

enumFromThen :: Unsigned n -> Unsigned n -> [Unsigned n]

enumFromTo :: Unsigned n -> Unsigned n -> [Unsigned n]

enumFromThenTo :: Unsigned n -> Unsigned n -> Unsigned n -> [Unsigned n]

Eq (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

(==) :: Unsigned n -> Unsigned n -> Bool

(/=) :: Unsigned n -> Unsigned n -> Bool

KnownNat n => Integral (Unsigned n)

NB: toInteger/fromIntegral can cause unexpected truncation, as Integer is arbitrarily bounded during synthesis. Prefer bitCoerce and the Resize class.

Defined in Clash.Sized.Internal.Unsigned

Methods

quot :: Unsigned n -> Unsigned n -> Unsigned n

rem :: Unsigned n -> Unsigned n -> Unsigned n

div :: Unsigned n -> Unsigned n -> Unsigned n

mod :: Unsigned n -> Unsigned n -> Unsigned n

quotRem :: Unsigned n -> Unsigned n -> (Unsigned n, Unsigned n)

divMod :: Unsigned n -> Unsigned n -> (Unsigned n, Unsigned n)

toInteger :: Unsigned n -> Integer

KnownNat n => Data (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Unsigned n -> c (Unsigned n)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Unsigned n)

toConstr :: Unsigned n -> Constr

dataTypeOf :: Unsigned n -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Unsigned n))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Unsigned n))

gmapT :: (forall b. Data b => b -> b) -> Unsigned n -> Unsigned n

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Unsigned n -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Unsigned n -> r

gmapQ :: (forall d. Data d => d -> u) -> Unsigned n -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Unsigned n -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Unsigned n -> m (Unsigned n)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Unsigned n -> m (Unsigned n)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Unsigned n -> m (Unsigned n)

KnownNat n => Num (Unsigned n)

NB: fromInteger/fromIntegral can cause unexpected truncation, as Integer is arbitrarily bounded during synthesis. Prefer bitCoerce and the Resize class.

Defined in Clash.Sized.Internal.Unsigned

Methods

(+) :: Unsigned n -> Unsigned n -> Unsigned n

(-) :: Unsigned n -> Unsigned n -> Unsigned n

(*) :: Unsigned n -> Unsigned n -> Unsigned n

negate :: Unsigned n -> Unsigned n

abs :: Unsigned n -> Unsigned n

signum :: Unsigned n -> Unsigned n

fromInteger :: Integer -> Unsigned n

Ord (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

compare :: Unsigned n -> Unsigned n -> Ordering

(<) :: Unsigned n -> Unsigned n -> Bool

(<=) :: Unsigned n -> Unsigned n -> Bool

(>) :: Unsigned n -> Unsigned n -> Bool

(>=) :: Unsigned n -> Unsigned n -> Bool

max :: Unsigned n -> Unsigned n -> Unsigned n

min :: Unsigned n -> Unsigned n -> Unsigned n

KnownNat n => Read (Unsigned n)

None of the Read class' methods are synthesizable.

Defined in Clash.Sized.Internal.Unsigned

Methods

readsPrec :: Int -> ReadS (Unsigned n)

readList :: ReadS [Unsigned n]

readPrec :: ReadPrec (Unsigned n)

readListPrec :: ReadPrec [Unsigned n]

KnownNat n => Real (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

toRational :: Unsigned n -> Rational

Show (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

showsPrec :: Int -> Unsigned n -> ShowS

show :: Unsigned n -> String

showList :: [Unsigned n] -> ShowS

KnownNat n => Ix (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

range :: (Unsigned n, Unsigned n) -> [Unsigned n]

index :: (Unsigned n, Unsigned n) -> Unsigned n -> Int

unsafeIndex :: (Unsigned n, Unsigned n) -> Unsigned n -> Int

inRange :: (Unsigned n, Unsigned n) -> Unsigned n -> Bool

rangeSize :: (Unsigned n, Unsigned n) -> Int

unsafeRangeSize :: (Unsigned n, Unsigned n) -> Int

Generic (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Associated Types

type Rep (Unsigned n) :: Type -> Type

Methods

from :: Unsigned n -> Rep (Unsigned n) x

to :: Rep (Unsigned n) x -> Unsigned n

KnownNat n => Arbitrary (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

arbitrary :: Gen (Unsigned n)

shrink :: Unsigned n -> [Unsigned n]

KnownNat n => CoArbitrary (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

coarbitrary :: Unsigned n -> Gen b -> Gen b

KnownNat n => PrintfArg (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

formatArg :: Unsigned n -> FieldFormatter

parseFormat :: Unsigned n -> ModifierParser

KnownNat n => Bits (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

(.&.) :: Unsigned n -> Unsigned n -> Unsigned n

(.|.) :: Unsigned n -> Unsigned n -> Unsigned n

xor :: Unsigned n -> Unsigned n -> Unsigned n

complement :: Unsigned n -> Unsigned n

shift :: Unsigned n -> Int -> Unsigned n

rotate :: Unsigned n -> Int -> Unsigned n

zeroBits :: Unsigned n

bit :: Int -> Unsigned n

setBit :: Unsigned n -> Int -> Unsigned n

clearBit :: Unsigned n -> Int -> Unsigned n

complementBit :: Unsigned n -> Int -> Unsigned n

testBit :: Unsigned n -> Int -> Bool

bitSizeMaybe :: Unsigned n -> Maybe Int

bitSize :: Unsigned n -> Int

isSigned :: Unsigned n -> Bool

shiftL :: Unsigned n -> Int -> Unsigned n

unsafeShiftL :: Unsigned n -> Int -> Unsigned n

shiftR :: Unsigned n -> Int -> Unsigned n

unsafeShiftR :: Unsigned n -> Int -> Unsigned n

rotateL :: Unsigned n -> Int -> Unsigned n

rotateR :: Unsigned n -> Int -> Unsigned n

popCount :: Unsigned n -> Int

KnownNat n => FiniteBits (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

finiteBitSize :: Unsigned n -> Int

countLeadingZeros :: Unsigned n -> Int

countTrailingZeros :: Unsigned n -> Int

Default (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

def :: Unsigned n

NFData (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

rnf :: Unsigned n -> ()

KnownNat n => Ixed (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

ix :: Index (Unsigned n) -> Traversal' (Unsigned n) (IxValue (Unsigned n))

KnownNat n => SaturatingNum (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

satAdd :: SaturationMode -> Unsigned n -> Unsigned n -> Unsigned n

satSub :: SaturationMode -> Unsigned n -> Unsigned n -> Unsigned n

satMul :: SaturationMode -> Unsigned n -> Unsigned n -> Unsigned n

satSucc :: SaturationMode -> Unsigned n -> Unsigned n

satPred :: SaturationMode -> Unsigned n -> Unsigned n

NFDataX (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

deepErrorX :: String -> Unsigned n

hasUndefined :: Unsigned n -> Bool

ensureSpine :: Unsigned n -> Unsigned n

rnfX :: Unsigned n -> ()

ShowX (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

showsPrecX :: Int -> Unsigned n -> ShowS

showX :: Unsigned n -> String

showListX :: [Unsigned n] -> ShowS

KnownNat n => BitPack (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Associated Types

type BitSize (Unsigned n) :: Nat

Methods

pack :: Unsigned n -> BitVector (BitSize (Unsigned n))

unpack :: BitVector (BitSize (Unsigned n)) -> Unsigned n

KnownNat n => Parity (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Methods

even :: Unsigned n -> Bool

odd :: Unsigned n -> Bool

Bundle (Unsigned n)

Defined in Clash.Signal.Bundle

Associated Types

type Unbundled dom (Unsigned n) = (res :: Type)

Methods

bundle :: forall (dom :: Domain). Unbundled dom (Unsigned n) -> Signal dom (Unsigned n)

unbundle :: forall (dom :: Domain). Signal dom (Unsigned n) -> Unbundled dom (Unsigned n)

Bundle (Unsigned n)

Defined in Clash.Signal.Delayed.Bundle

Associated Types

type Unbundled dom d (Unsigned n) = (res :: Type)

Methods

bundle :: forall (dom :: Domain) (d :: Nat). Unbundled dom d (Unsigned n) -> DSignal dom d (Unsigned n)

unbundle :: forall (dom :: Domain) (d :: Nat). DSignal dom d (Unsigned n) -> Unbundled dom d (Unsigned n)

KnownNat n => Counter (Unsigned n)

Defined in Clash.Class.Counter.Internal

Methods

countMin :: Unsigned n

countMax :: Unsigned n

countSuccOverflow :: Unsigned n -> (Bool, Unsigned n)

countPredOverflow :: Unsigned n -> (Bool, Unsigned n)

AutoReg (Unsigned n)

Defined in Clash.Class.AutoReg.Internal

Methods

autoReg :: forall (dom :: Domain). (HasCallStack, KnownDomain dom) => Clock dom -> Reset dom -> Enable dom -> Unsigned n -> Signal dom (Unsigned n) -> Signal dom (Unsigned n)

KnownNat m => Exp (Unsigned m)

Defined in Clash.Class.Exp

Associated Types

type ExpResult (Unsigned m) n

Methods

(^) :: forall (n :: Nat). Unsigned m -> SNat n -> ExpResult (Unsigned m) n

(KnownNat m, KnownNat n) => ExtendingNum (Unsigned m) (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

Associated Types

type AResult (Unsigned m) (Unsigned n)

type MResult (Unsigned m) (Unsigned n)

Methods

add :: Unsigned m -> Unsigned n -> AResult (Unsigned m) (Unsigned n)

sub :: Unsigned m -> Unsigned n -> AResult (Unsigned m) (Unsigned n)

mul :: Unsigned m -> Unsigned n -> MResult (Unsigned m) (Unsigned n)

type Unbundled dom d (Unsigned n)

Defined in Clash.Signal.Delayed.Bundle

type Unbundled dom d (Unsigned n) = DSignal dom d (Unsigned n)

type Unbundled dom (Unsigned n)

Defined in Clash.Signal.Bundle

type Unbundled dom (Unsigned n) = Signal dom (Unsigned n)

type TryDomain t (Unsigned n)

Defined in Clash.Class.HasDomain.HasSingleDomain

type TryDomain t (Unsigned n) = 'NotFound

type Rep (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

type Rep (Unsigned n) = D1 ('MetaData "Unsigned" "Clash.Sized.Internal.Unsigned" "clash-prelude-1.7.0-inplace" 'True) (C1 ('MetaCons "U" 'PrefixI 'True) (S1 ('MetaSel ('Just "unsafeToNatural") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Natural)))

type Index (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

type Index (Unsigned n) = Int

type IxValue (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

type IxValue (Unsigned n) = Bit

type BitSize (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

type BitSize (Unsigned n) = n

type ExpResult (Unsigned m) n

Defined in Clash.Class.Exp

type ExpResult (Unsigned m) n = Unsigned (Max 1 (m * n))

type AResult (Unsigned m) (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

type AResult (Unsigned m) (Unsigned n) = Unsigned (Max m n + 1)

type MResult (Unsigned m) (Unsigned n)

Defined in Clash.Sized.Internal.Unsigned

type MResult (Unsigned m) (Unsigned n) = Unsigned (m + n)

Accessors

Length information

size# :: KnownNat n => Unsigned n -> Int

Type classes

BitPack

pack# :: Unsigned n -> BitVector n

unpack# :: KnownNat n => BitVector n -> Unsigned n

Eq

eq# :: Unsigned n -> Unsigned n -> Bool

neq# :: Unsigned n -> Unsigned n -> Bool

Ord

lt# :: Unsigned n -> Unsigned n -> Bool

ge# :: Unsigned n -> Unsigned n -> Bool

gt# :: Unsigned n -> Unsigned n -> Bool

le# :: Unsigned n -> Unsigned n -> Bool

Enum

toEnum# :: forall n. KnownNat n => Int -> Unsigned n

fromEnum# :: forall n. KnownNat n => Unsigned n -> Int

Enum (not synthesizable)

enumFrom# :: forall n. KnownNat n => Unsigned n -> [Unsigned n]

enumFromThen# :: forall n. KnownNat n => Unsigned n -> Unsigned n -> [Unsigned n]

enumFromTo# :: forall n. KnownNat n => Unsigned n -> Unsigned n -> [Unsigned n]

enumFromThenTo# :: forall n. KnownNat n => Unsigned n -> Unsigned n -> Unsigned n -> [Unsigned n]

Bounded

minBound# :: Unsigned n

maxBound# :: forall n. KnownNat n => Unsigned n

Num

(+#) :: forall n. KnownNat n => Unsigned n -> Unsigned n -> Unsigned n

(-#) :: forall n. KnownNat n => Unsigned n -> Unsigned n -> Unsigned n

(*#) :: forall n. KnownNat n => Unsigned n -> Unsigned n -> Unsigned n

negate# :: forall n. KnownNat n => Unsigned n -> Unsigned n

fromInteger# :: forall n. KnownNat n => Integer -> Unsigned n

ExtendingNum

plus# :: Unsigned m -> Unsigned n -> Unsigned (Max m n + 1)

minus# :: forall m n. (KnownNat m, KnownNat n) => Unsigned m -> Unsigned n -> Unsigned (Max m n + 1)

times# :: Unsigned m -> Unsigned n -> Unsigned (m + n)

Integral

quot# :: Unsigned n -> Unsigned n -> Unsigned n

rem# :: Unsigned n -> Unsigned n -> Unsigned n

toInteger# :: Unsigned n -> Integer

Bits

and# :: Unsigned n -> Unsigned n -> Unsigned n

or# :: Unsigned n -> Unsigned n -> Unsigned n

xor# :: Unsigned n -> Unsigned n -> Unsigned n

complement# :: forall n. KnownNat n => Unsigned n -> Unsigned n

shiftL# :: forall n. KnownNat n => Unsigned n -> Int -> Unsigned n

shiftR# :: forall n. KnownNat n => Unsigned n -> Int -> Unsigned n

rotateL# :: forall n. KnownNat n => Unsigned n -> Int -> Unsigned n

rotateR# :: forall n. KnownNat n => Unsigned n -> Int -> Unsigned n

Resize

resize# :: forall n m. KnownNat m => Unsigned n -> Unsigned m

Conversions

unsignedToWord :: Unsigned 64 -> Word

unsigned8toWord8 :: Unsigned 8 -> Word8

unsigned16toWord16 :: Unsigned 16 -> Word16

unsigned32toWord32 :: Unsigned 32 -> Word32