Copyright	(C) 2013-2016 University of Twente 2025 QBayLogic B.V.
License	BSD2 (see the file LICENSE)
Maintainer	Christiaan Baaij <christiaan.baaij@gmail.com>
Safe Haskell	Trustworthy
Language	Haskell2010
Extensions	ScopedTypeVariables BangPatterns ViewPatterns PolyKinds DataKinds InstanceSigs StandaloneDeriving DeriveDataTypeable DeriveFunctor DeriveTraversable DeriveFoldable DeriveGeneric DefaultSignatures DeriveLift DerivingStrategies MagicHash KindSignatures PostfixOperators TupleSections TypeOperators ExplicitNamespaces ExplicitForAll BinaryLiterals TypeApplications

Clash.Sized.Index

Description

Synopsis

data Index (n :: Nat)
bv2i :: KnownNat n => BitVector n -> Index (2 ^ n)
fromSNat :: (KnownNat m, (n + 1) <= m) => SNat n -> Index m

Documentation

data Index (n :: Nat) Source #

Arbitrarily-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]
...

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.

Index has the type role

>>> :i Index
type role Index nominal
...

as it is not safe to coerce between Indexes with different ranges. To change the size, use the functions in the Resize class.

Instances

Instances details

Resize Index Source #
Instance details Defined in Clash.Sized.Internal.Index Methods resize :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Index a -> Index b Source # extend :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Index a -> Index (b + a) Source # zeroExtend :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Index a -> Index (b + a) Source # signExtend :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Index a -> Index (b + a) Source # truncateB :: forall (a :: Nat) (b :: Natural). KnownNat a => Index (a + b) -> Index a Source #
KnownNat n => Lift (Index n :: Type) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods lift :: Quote m => Index n -> m Exp # liftTyped :: forall (m :: Type -> Type). Quote m => Index n -> Code m (Index n) #
KnownNat n => Arbitrary (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods arbitrary :: Gen (Index n) # shrink :: Index n -> [Index n] #
KnownNat n => CoArbitrary (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods coarbitrary :: Index n -> Gen b -> Gen b #
KnownNat n => Data (Index n) Source #
Instance details 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 :: forall r r'. (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 => Bits (Index n) Source #	`shiftR a n`: Returns 0 if `n >= bitSize a` `XException` if `n < 0`
Instance details 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 => FiniteBits (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods finiteBitSize :: Index n -> Int # countLeadingZeros :: Index n -> Int # countTrailingZeros :: Index n -> Int #
KnownNat n => Bounded (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods minBound :: Index n # maxBound :: Index n #
KnownNat n => Enum (Index n) Source #	The functions: `enumFrom`, `enumFromThen`, `enumFromTo`, and `enumFromThenTo`, are not synthesizable.
Instance details 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] #
Generic (Index n) Source #
Instance details 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 => Ix (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods range :: (Index n, Index n) -> [Index n] # index :: (Index n, Index n) -> Index n -> Int # unsafeIndex :: (Index n, Index n) -> Index n -> Int # inRange :: (Index n, Index n) -> Index n -> Bool # rangeSize :: (Index n, Index n) -> Int # unsafeRangeSize :: (Index n, Index n) -> Int #
KnownNat n => Num (Index n) Source #	Operators report an error on overflow and underflow 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.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 #
KnownNat n => Read (Index n) Source #	None of the `Read` class' methods are synthesizable.
Instance details 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 => Integral (Index 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.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 => Real (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods toRational :: Index n -> Rational #
Show (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods showsPrec :: Int -> Index n -> ShowS # show :: Index n -> String # showList :: [Index n] -> ShowS #
KnownNat n => PrintfArg (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods formatArg :: Index n -> FieldFormatter # parseFormat :: Index n -> ModifierParser #
AutoReg (Index n) Source #
Instance details Defined in Clash.Class.AutoReg.Internal Methods autoReg :: forall (dom :: Domain). (HasCallStack, KnownDomain dom) => Clock dom -> Reset dom -> Enable dom -> Index n -> Signal dom (Index n) -> Signal dom (Index n) Source #
KnownNat n => BitPack (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Associated Types type BitSize (Index n) :: Nat Source # Methods pack :: Index n -> BitVector (BitSize (Index n)) Source # unpack :: BitVector (BitSize (Index n)) -> Index n Source #
(1 <= n, KnownNat n) => Counter (Index n) Source #
Instance details Defined in Clash.Class.Counter.Internal Methods countMin :: Index n Source # countMax :: Index n Source # countSuccOverflow :: Index n -> (Bool, Index n) Source # countPredOverflow :: Index n -> (Bool, Index n) Source #
KnownNat m => Exp (Index m) Source #
Instance details Defined in Clash.Class.Exp Associated Types type ExpResult (Index m) n Source # Methods (^) :: forall (n :: Nat). Index m -> SNat n -> ExpResult (Index m) n Source #
KnownNat n => SaturatingNum (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods satAdd :: SaturationMode -> Index n -> Index n -> Index n Source # satSub :: SaturationMode -> Index n -> Index n -> Index n Source # satMul :: SaturationMode -> Index n -> Index n -> Index n Source # satSucc :: SaturationMode -> Index n -> Index n Source # satPred :: SaturationMode -> Index n -> Index n Source #
KnownNat n => Parity (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods even :: Index n -> Bool Source # odd :: Index n -> Bool Source #
Bundle (Index n) Source #
Instance details Defined in Clash.Signal.Bundle Associated Types type Unbundled dom (Index n) = (res :: Type) Source # Methods bundle :: forall (dom :: Domain). Unbundled dom (Index n) -> Signal dom (Index n) Source # unbundle :: forall (dom :: Domain). Signal dom (Index n) -> Unbundled dom (Index n) Source #
Bundle (Index n) Source #
Instance details Defined in Clash.Signal.Delayed.Bundle Associated Types type Unbundled dom d (Index n) = (res :: Type) Source # Methods bundle :: forall (dom :: Domain) (d :: Nat). Unbundled dom d (Index n) -> DSignal dom d (Index n) Source # unbundle :: forall (dom :: Domain) (d :: Nat). DSignal dom d (Index n) -> Unbundled dom d (Index n) Source #
NFDataX (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods deepErrorX :: String -> Index n Source # hasUndefined :: Index n -> Bool Source # ensureSpine :: Index n -> Index n Source # rnfX :: Index n -> () Source #
ShowX (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods showsPrecX :: Int -> Index n -> ShowS Source # showX :: Index n -> String Source # showListX :: [Index n] -> ShowS Source #
KnownNat n => Default (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods def :: Index n #
NFData (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods rnf :: Index n -> () #
Eq (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods (==) :: Index n -> Index n -> Bool # (/=) :: Index n -> Index n -> Bool #
Ord (Index n) Source #
Instance details 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 #
ExtendingNum (Index m) (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Associated Types type AResult (Index m) (Index n) Source # type MResult (Index m) (Index n) Source # Methods add :: Index m -> Index n -> AResult (Index m) (Index n) Source # sub :: Index m -> Index n -> AResult (Index m) (Index n) Source # mul :: Index m -> Index n -> MResult (Index m) (Index n) Source #
(KnownNat n, KnownNat m) => MaybeNumConvertCanonical (BitVector n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvertCanonical :: BitVector n -> Maybe (Index m) Source #
(KnownNat n, KnownNat m) => MaybeNumConvertCanonical (Index n) (BitVector m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvertCanonical :: Index n -> Maybe (BitVector m) Source #
(KnownNat n, KnownNat m) => MaybeNumConvertCanonical (Index n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvertCanonical :: Index n -> Maybe (Index m) Source #
(KnownNat n, KnownNat m) => MaybeNumConvertCanonical (Index n) (Signed m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvertCanonical :: Index n -> Maybe (Signed m) Source #
(KnownNat n, KnownNat m) => MaybeNumConvertCanonical (Index n) (Unsigned m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvertCanonical :: Index n -> Maybe (Unsigned m) Source #
(KnownNat n, KnownNat m) => MaybeNumConvertCanonical (Signed n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvertCanonical :: Signed n -> Maybe (Index m) Source #
(KnownNat n, KnownNat m) => MaybeNumConvertCanonical (Unsigned n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvertCanonical :: Unsigned n -> Maybe (Index m) Source #
(KnownNat n, KnownNat m, (2 ^ n) <= m) => NumConvertCanonical (BitVector n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvertCanonical :: BitVector n -> Index m Source #
(KnownNat n, KnownNat m, n <= (2 ^ m)) => NumConvertCanonical (Index n) (BitVector m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvertCanonical :: Index n -> BitVector m Source #
(KnownNat n, KnownNat m, n <= m) => NumConvertCanonical (Index n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvertCanonical :: Index n -> Index m Source #
(KnownNat n, KnownNat m, (CLogWZ 2 n 0 + 1) <= m) => NumConvertCanonical (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 numConvertCanonical :: Index n -> Signed m Source #
(KnownNat n, KnownNat m, n <= (2 ^ m)) => NumConvertCanonical (Index n) (Unsigned m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvertCanonical :: Index n -> Unsigned m Source #
(KnownNat n, KnownNat m, (2 ^ n) <= m) => NumConvertCanonical (Unsigned n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvertCanonical :: Unsigned n -> Index m Source #
type Unbundled dom d (Index n) Source #
Instance details Defined in Clash.Signal.Delayed.Bundle type Unbundled dom d (Index n) = DSignal dom d (Index n)
type TryDomain t (Index n) Source #
Instance details Defined in Clash.Class.HasDomain.HasSingleDomain type TryDomain t (Index n) = 'NotFound
type Unbundled dom (Index n) Source #
Instance details Defined in Clash.Signal.Bundle type Unbundled dom (Index n) = Signal dom (Index n)
type Rep (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index type Rep (Index n) = D1 ('MetaData "Index" "Clash.Sized.Internal.Index" "clash-prelude-1.9.0-inplace" 'False) (C1 ('MetaCons "I" 'PrefixI 'True) (S1 ('MetaSel ('Just "unsafeToInteger") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 Integer)))
type BitSize (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index type BitSize (Index n) = CLogWZ 2 n 0
type Canonical (Index n) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.Canonical type Canonical (Index n) = Index n
type ExpResult (Index m) n Source #
Instance details Defined in Clash.Class.Exp type ExpResult (Index m) n = Index (Max 2 (m ^ n))
type AResult (Index m) (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index type AResult (Index m) (Index n) = Index ((m + n) - 1)
type MResult (Index m) (Index n) Source #
Instance details 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) Source #

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 + 1) <= m) => SNat n -> Index m Source #

Safely convert an SNat value to an Index