Clash.Sized.Index

Documentation

data Index (n :: Nat)

Arbitrary-bounded unsigned integer represented by ceil(log_2(n)) bits.

Given an upper bound n, an Index n number has a range of: [0 .. n-1]

>>> maxBound :: Index 8
7
>>> minBound :: Index 8
0
>>> read (show (maxBound :: Index 8)) :: Index 8
7
>>> 1 + 2 :: Index 8
3
>>> 2 + 6 :: Index 8
*** Exception: X: Clash.Sized.Index: result 8 is out of bounds: [0..7]
...
>>> 1 - 3 :: Index 8
*** Exception: X: Clash.Sized.Index: result -2 is out of bounds: [0..7]
...
>>> 2 * 3 :: Index 8
6
>>> 2 * 4 :: Index 8
*** Exception: X: Clash.Sized.Index: result 8 is out of bounds: [0..7]
...

Instances

Resize Index

Defined in Clash.Sized.Internal.Index

Methods

resize :: (KnownNat a, KnownNat b) => Index a -> Index b

extend :: (KnownNat a, KnownNat b) => Index a -> Index (b + a)

zeroExtend :: (KnownNat a, KnownNat b) => Index a -> Index (b + a)

signExtend :: (KnownNat a, KnownNat b) => Index a -> Index (b + a)

truncateB :: KnownNat a => Index (a + b) -> Index a

KnownNat n => Bounded (Index n)

Defined in Clash.Sized.Internal.Index

Methods

minBound :: Index n

maxBound :: Index n

KnownNat n => Enum (Index n)

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

Defined in Clash.Sized.Internal.Index

Methods

succ :: Index n -> Index n

pred :: Index n -> Index n

toEnum :: Int -> Index n

fromEnum :: Index n -> Int

enumFrom :: Index n -> [Index n]

enumFromThen :: Index n -> Index n -> [Index n]

enumFromTo :: Index n -> Index n -> [Index n]

enumFromThenTo :: Index n -> Index n -> Index n -> [Index n]

Eq (Index n)

Defined in Clash.Sized.Internal.Index

Methods

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

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

KnownNat n => Integral (Index n)

Defined in Clash.Sized.Internal.Index

Methods

quot :: Index n -> Index n -> Index n

rem :: Index n -> Index n -> Index n

div :: Index n -> Index n -> Index n

mod :: Index n -> Index n -> Index n

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

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

toInteger :: Index n -> Integer

KnownNat n => Data (Index n)

Defined in Clash.Sized.Internal.Index

Methods

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

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

toConstr :: Index n -> Constr

dataTypeOf :: Index n -> DataType

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

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

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

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

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

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

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

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

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

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

KnownNat n => Num (Index n)

Operators report an error on overflow and underflow

Defined in Clash.Sized.Internal.Index

Methods

(+) :: Index n -> Index n -> Index n

(-) :: Index n -> Index n -> Index n

(*) :: Index n -> Index n -> Index n

negate :: Index n -> Index n

abs :: Index n -> Index n

signum :: Index n -> Index n

fromInteger :: Integer -> Index n

Ord (Index n)

Defined in Clash.Sized.Internal.Index

Methods

compare :: Index n -> Index n -> Ordering

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

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

(>) :: Index n -> Index n -> Bool

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

max :: Index n -> Index n -> Index n

min :: Index n -> Index n -> Index n

KnownNat n => Read (Index n)

None of the Read class' methods are synthesizable.

Defined in Clash.Sized.Internal.Index

Methods

readsPrec :: Int -> ReadS (Index n)

readList :: ReadS [Index n]

readPrec :: ReadPrec (Index n)

readListPrec :: ReadPrec [Index n]

KnownNat n => Real (Index n)

Defined in Clash.Sized.Internal.Index

Methods

toRational :: Index n -> Rational

Show (Index n)

Defined in Clash.Sized.Internal.Index

Methods

showsPrec :: Int -> Index n -> ShowS

show :: Index n -> String

showList :: [Index n] -> ShowS

Generic (Index n)

Defined in Clash.Sized.Internal.Index

Associated Types

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

Methods

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

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

KnownNat n => Lift (Index n)

Defined in Clash.Sized.Internal.Index

Methods

lift :: Index n -> Q Exp

KnownNat n => Arbitrary (Index n)

Defined in Clash.Sized.Internal.Index

Methods

arbitrary :: Gen (Index n)

shrink :: Index n -> [Index n]

KnownNat n => CoArbitrary (Index n)

Defined in Clash.Sized.Internal.Index

Methods

coarbitrary :: Index n -> Gen b -> Gen b

(KnownNat n, 1 <= n) => Bits (Index n)

Defined in Clash.Sized.Internal.Index

Methods

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

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

xor :: Index n -> Index n -> Index n

complement :: Index n -> Index n

shift :: Index n -> Int -> Index n

rotate :: Index n -> Int -> Index n

zeroBits :: Index n

bit :: Int -> Index n

setBit :: Index n -> Int -> Index n

clearBit :: Index n -> Int -> Index n

complementBit :: Index n -> Int -> Index n

testBit :: Index n -> Int -> Bool

bitSizeMaybe :: Index n -> Maybe Int

bitSize :: Index n -> Int

isSigned :: Index n -> Bool

shiftL :: Index n -> Int -> Index n

unsafeShiftL :: Index n -> Int -> Index n

shiftR :: Index n -> Int -> Index n

unsafeShiftR :: Index n -> Int -> Index n

rotateL :: Index n -> Int -> Index n

rotateR :: Index n -> Int -> Index n

popCount :: Index n -> Int

(KnownNat n, 1 <= n) => FiniteBits (Index n)

Defined in Clash.Sized.Internal.Index

Methods

finiteBitSize :: Index n -> Int

countLeadingZeros :: Index n -> Int

countTrailingZeros :: Index n -> Int

KnownNat n => Default (Index n)

Defined in Clash.Sized.Internal.Index

Methods

def :: Index n

NFData (Index n)

Defined in Clash.Sized.Internal.Index

Methods

rnf :: Index n -> ()

(KnownNat n, 1 <= n) => SaturatingNum (Index n)

Defined in Clash.Sized.Internal.Index

Methods

satAdd :: SaturationMode -> Index n -> Index n -> Index n

satSub :: SaturationMode -> Index n -> Index n -> Index n

satMul :: SaturationMode -> Index n -> Index n -> Index n

NFDataX (Index n)

Defined in Clash.Sized.Internal.Index

Methods

deepErrorX :: String -> Index n

hasUndefined :: Index n -> Bool

ensureSpine :: Index n -> Index n

rnfX :: Index n -> ()

ShowX (Index n)

Defined in Clash.Sized.Internal.Index

Methods

showsPrecX :: Int -> Index n -> ShowS

showX :: Index n -> String

showListX :: [Index n] -> ShowS

(KnownNat n, 1 <= n) => BitPack (Index n)

Defined in Clash.Sized.Internal.Index

Associated Types

type BitSize (Index n) :: Nat

Methods

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

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

(KnownNat n, 1 <= n) => Parity (Index n)

Defined in Clash.Sized.Internal.Index

Methods

even :: Index n -> Bool

odd :: Index n -> Bool

Bundle (Index n)

Defined in Clash.Signal.Bundle

Associated Types

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

Methods

bundle :: Unbundled dom (Index n) -> Signal dom (Index n)

unbundle :: Signal dom (Index n) -> Unbundled dom (Index n)

Bundle (Index n)

Defined in Clash.Signal.Delayed.Bundle

Associated Types

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

Methods

bundle :: Unbundled dom d (Index n) -> DSignal dom d (Index n)

unbundle :: DSignal dom d (Index n) -> Unbundled dom d (Index n)

AutoReg (Index n)

Defined in Clash.Class.AutoReg.Internal

Methods

autoReg :: (HasCallStack, KnownDomain dom) => Clock dom -> Reset dom -> Enable dom -> Index n -> Signal dom (Index n) -> Signal dom (Index n)

KnownNat m => Exp (Index m)

Defined in Clash.Class.Exp

Associated Types

type ExpResult (Index m) n :: Type

Methods

(^) :: Index m -> SNat n -> ExpResult (Index m) n

ExtendingNum (Index m) (Index n)

Defined in Clash.Sized.Internal.Index

Associated Types

type AResult (Index m) (Index n) :: Type

type MResult (Index m) (Index n) :: Type

Methods

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

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

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

type Unbundled dom d (Index n)

Defined in Clash.Signal.Delayed.Bundle

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

type Unbundled dom (Index n)

Defined in Clash.Signal.Bundle

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

type Rep (Index n)

Defined in Clash.Sized.Internal.Index

type Rep (Index n) = D1 (MetaData "Index" "Clash.Sized.Internal.Index" "clash-prelude-1.2.0-inplace" True) (C1 (MetaCons "I" PrefixI True) (S1 (MetaSel (Just "unsafeToInteger") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 Integer)))

type BitSize (Index n)

Defined in Clash.Sized.Internal.Index

type BitSize (Index n) = CLog 2 n

type ExpResult (Index m) n

Defined in Clash.Class.Exp

type ExpResult (Index m) n = Index (m ^ n)

type AResult (Index m) (Index n)

Defined in Clash.Sized.Internal.Index

type AResult (Index m) (Index n) = Index ((m + n) - 1)

type MResult (Index m) (Index n)

Defined in Clash.Sized.Internal.Index

type MResult (Index m) (Index n) = Index (((m - 1) * (n - 1)) + 1)

bv2i :: KnownNat n => BitVector n -> Index (2 ^ n)

An alternative implementation of unpack for the Index data type; for when you know the size of the BitVector and want to determine the size of the Index.

That is, the type of unpack is:

unpack :: BitVector (CLog 2 n) -> Index n

And is useful when you know the size of the Index, and want to get a value from a BitVector that is large enough (CLog 2 n) enough to hold an Index. Note that unpack can fail at run-time when the value inside the BitVector is higher than 'n-1'.

bv2i on the other hand will never fail at run-time, because the BitVector argument determines the size.

fromSNat :: (KnownNat m, n <= (m + 1)) => SNat n -> Index m

Safely convert an SNat value to an Index