Copyright	(C) 2013-2016 University of Twente 2016 Myrtle Software Ltd
License	BSD2 (see the file LICENSE)
Maintainer	Christiaan Baaij <christiaan.baaij@gmail.com>
Safe Haskell	Unsafe
Language	Haskell2010
Extensions	Cpp UndecidableInstances MonoLocalBinds TemplateHaskell TemplateHaskellQuotes ScopedTypeVariables BangPatterns TypeFamilies ViewPatterns DataKinds InstanceSigs StandaloneDeriving DeriveDataTypeable DeriveFunctor DeriveTraversable DeriveFoldable DeriveGeneric DefaultSignatures DeriveAnyClass DeriveLift DerivingStrategies ConstrainedClassMethods MultiParamTypeClasses MagicHash KindSignatures RoleAnnotations TupleSections TypeOperators ExplicitNamespaces ExplicitForAll BinaryLiterals TypeApplications

Clash.Sized.Internal.Unsigned

Contents

Datatypes
Accessors
- Length information
Type classes

Description

Synopsis

newtype Unsigned (n :: Nat) = U {
- unsafeToNatural :: Natural
}
size# :: KnownNat n => Unsigned n -> Int
pack# :: Unsigned n -> BitVector n
unpack# :: KnownNat n => BitVector n -> Unsigned n
eq# :: Unsigned n -> Unsigned n -> Bool
neq# :: Unsigned n -> Unsigned n -> Bool
lt# :: Unsigned n -> Unsigned n -> Bool
ge# :: Unsigned n -> Unsigned n -> Bool
gt# :: Unsigned n -> Unsigned n -> Bool
le# :: Unsigned n -> Unsigned n -> Bool
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]
minBound# :: Unsigned n
maxBound# :: forall n. KnownNat n => Unsigned n
(+#) :: 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
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)
quot# :: Unsigned n -> Unsigned n -> Unsigned n
rem# :: Unsigned n -> Unsigned n -> Unsigned n
toInteger# :: Unsigned n -> Integer
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# :: forall n m. KnownNat m => Unsigned n -> Unsigned m
unsignedToWord :: Unsigned 64 -> Word
unsigned8toWord8 :: Unsigned 8 -> Word8
unsigned16toWord16 :: Unsigned 16 -> Word16
unsigned32toWord32 :: Unsigned 32 -> Word32

Datatypes

newtype Unsigned (n :: Nat) Source #

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 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

Instances details

Resize Unsigned Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods resize :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Unsigned a -> Unsigned b Source # extend :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Unsigned a -> Unsigned (b + a) Source # zeroExtend :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Unsigned a -> Unsigned (b + a) Source # signExtend :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Unsigned a -> Unsigned (b + a) Source # truncateB :: forall (a :: Nat) (b :: Nat). KnownNat a => Unsigned (a + b) -> Unsigned a Source #
KnownNat n => Lift (Unsigned n :: Type) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods lift :: Unsigned n -> Q Exp # liftTyped :: Unsigned n -> Q (TExp (Unsigned n)) #
KnownNat n => Bounded (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods minBound :: Unsigned n # maxBound :: Unsigned n #
KnownNat n => Enum (Unsigned n) Source #	The functions: `enumFrom`, `enumFromThen`, `enumFromTo`, and `enumFromThenTo`, are not synthesizable.
Instance details 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) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods (==) :: Unsigned n -> Unsigned n -> Bool # (/=) :: Unsigned n -> Unsigned n -> Bool #
KnownNat n => Integral (Unsigned n) Source #
Instance details 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) Source #
Instance details 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) Source #
Instance details 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) Source #
Instance details 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) Source #	None of the `Read` class' methods are synthesizable.
Instance details 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) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods toRational :: Unsigned n -> Rational #
Show (Unsigned n) Source #
Instance details 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) Source #
Instance details 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) Source #
Instance details 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) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods arbitrary :: Gen (Unsigned n) # shrink :: Unsigned n -> [Unsigned n] #
KnownNat n => CoArbitrary (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods coarbitrary :: Unsigned n -> Gen b -> Gen b #
KnownNat n => PrintfArg (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods formatArg :: Unsigned n -> FieldFormatter # parseFormat :: Unsigned n -> ModifierParser #
KnownNat n => Bits (Unsigned n) Source #
Instance details 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) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods finiteBitSize :: Unsigned n -> Int # countLeadingZeros :: Unsigned n -> Int # countTrailingZeros :: Unsigned n -> Int #
Default (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods def :: Unsigned n #
NFData (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods rnf :: Unsigned n -> () #
KnownNat n => Ixed (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods ix :: Index (Unsigned n) -> Traversal' (Unsigned n) (IxValue (Unsigned n)) #
KnownNat n => SaturatingNum (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods satAdd :: SaturationMode -> Unsigned n -> Unsigned n -> Unsigned n Source # satSub :: SaturationMode -> Unsigned n -> Unsigned n -> Unsigned n Source # satMul :: SaturationMode -> Unsigned n -> Unsigned n -> Unsigned n Source # satSucc :: SaturationMode -> Unsigned n -> Unsigned n Source # satPred :: SaturationMode -> Unsigned n -> Unsigned n Source #
NFDataX (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods deepErrorX :: String -> Unsigned n Source # hasUndefined :: Unsigned n -> Bool Source # ensureSpine :: Unsigned n -> Unsigned n Source # rnfX :: Unsigned n -> () Source #
ShowX (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods showsPrecX :: Int -> Unsigned n -> ShowS Source # showX :: Unsigned n -> String Source # showListX :: [Unsigned n] -> ShowS Source #
KnownNat n => BitPack (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Associated Types type BitSize (Unsigned n) :: Nat Source # Methods pack :: Unsigned n -> BitVector (BitSize (Unsigned n)) Source # unpack :: BitVector (BitSize (Unsigned n)) -> Unsigned n Source #
KnownNat n => Parity (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods even :: Unsigned n -> Bool Source # odd :: Unsigned n -> Bool Source #
Bundle (Unsigned n) Source #
Instance details Defined in Clash.Signal.Bundle Associated Types type Unbundled dom (Unsigned n) = (res :: Type) Source # Methods bundle :: forall (dom :: Domain). Unbundled dom (Unsigned n) -> Signal dom (Unsigned n) Source # unbundle :: forall (dom :: Domain). Signal dom (Unsigned n) -> Unbundled dom (Unsigned n) Source #
Bundle (Unsigned n) Source #
Instance details Defined in Clash.Signal.Delayed.Bundle Associated Types type Unbundled dom d (Unsigned n) = (res :: Type) Source # Methods bundle :: forall (dom :: Domain) (d :: Nat). Unbundled dom d (Unsigned n) -> DSignal dom d (Unsigned n) Source # unbundle :: forall (dom :: Domain) (d :: Nat). DSignal dom d (Unsigned n) -> Unbundled dom d (Unsigned n) Source #
AutoReg (Unsigned n) Source #
Instance details 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) Source #
KnownNat m => Exp (Unsigned m) Source #
Instance details Defined in Clash.Class.Exp Associated Types type ExpResult (Unsigned m) n Source # Methods (^) :: forall (n :: Nat). Unsigned m -> SNat n -> ExpResult (Unsigned m) n Source #
(KnownNat m, KnownNat n) => ExtendingNum (Unsigned m) (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned Associated Types type AResult (Unsigned m) (Unsigned n) Source # type MResult (Unsigned m) (Unsigned n) Source # Methods add :: Unsigned m -> Unsigned n -> AResult (Unsigned m) (Unsigned n) Source # sub :: Unsigned m -> Unsigned n -> AResult (Unsigned m) (Unsigned n) Source # mul :: Unsigned m -> Unsigned n -> MResult (Unsigned m) (Unsigned n) Source #
type Unbundled dom d (Unsigned n) Source #
Instance details Defined in Clash.Signal.Delayed.Bundle type Unbundled dom d (Unsigned n) = DSignal dom d (Unsigned n)
type Unbundled dom (Unsigned n) Source #
Instance details Defined in Clash.Signal.Bundle type Unbundled dom (Unsigned n) = Signal dom (Unsigned n)
type Rep (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned type Rep (Unsigned n) = D1 ('MetaData "Unsigned" "Clash.Sized.Internal.Unsigned" "clash-prelude-1.4.6-inplace" 'True) (C1 ('MetaCons "U" 'PrefixI 'True) (S1 ('MetaSel ('Just "unsafeToNatural") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Natural)))
type Index (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned type Index (Unsigned n) = Int
type IxValue (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned type IxValue (Unsigned n) = Bit
type BitSize (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned type BitSize (Unsigned n) = n
type ExpResult (Unsigned m) n Source #
Instance details Defined in Clash.Class.Exp type ExpResult (Unsigned m) n = Unsigned (Max 1 (m * n))
type AResult (Unsigned m) (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned type AResult (Unsigned m) (Unsigned n) = Unsigned (Max m n + 1)
type MResult (Unsigned m) (Unsigned n) Source #
Instance details Defined in Clash.Sized.Internal.Unsigned type MResult (Unsigned m) (Unsigned n) = Unsigned (m + n)