Copyright	(C) 2013-2016 University of Twente 2016-2019 Myrtle Software Ltd 2021-2025 QBayLogic B.V.
License	BSD2 (see the file LICENSE)
Maintainer	QBayLogic B.V. <devops@qbaylogic.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 FlexibleContexts ConstrainedClassMethods MultiParamTypeClasses MagicHash KindSignatures RoleAnnotations PostfixOperators TupleSections TypeOperators ExplicitNamespaces ExplicitForAll BinaryLiterals TypeApplications

Clash.Sized.Internal.Index

Contents

Datatypes
Construction
Accessors
- Length information
Type classes

Description

Synopsis

newtype Index (n :: Nat) = I {
- unsafeToInteger :: Integer
}
fromSNat :: (KnownNat m, (n + 1) <= m) => SNat n -> Index m
size# :: (KnownNat n, 1 <= n) => Index n -> Int
pack# :: Index n -> BitVector (CLog 2 n)
unpack# :: (KnownNat n, 1 <= n) => BitVector (CLog 2 n) -> Index n
eq# :: Index n -> Index n -> Bool
neq# :: Index n -> Index n -> Bool
lt# :: Index n -> Index n -> Bool
ge# :: Index n -> Index n -> Bool
gt# :: Index n -> Index n -> Bool
le# :: Index n -> Index n -> Bool
toEnum# :: forall n. KnownNat n => Int -> Index n
fromEnum# :: forall n. KnownNat n => Index n -> Int
enumFrom# :: forall n. KnownNat n => Index n -> [Index n]
enumFromThen# :: forall n. KnownNat n => Index n -> Index n -> [Index n]
enumFromTo# :: Index n -> Index n -> [Index n]
enumFromThenTo# :: Index n -> Index n -> Index n -> [Index n]
maxBound# :: forall n. KnownNat n => Index n
(+#) :: KnownNat n => Index n -> Index n -> Index n
(-#) :: KnownNat n => Index n -> Index n -> Index n
(*#) :: KnownNat n => Index n -> Index n -> Index n
negate# :: KnownNat n => Index n -> Index n
fromInteger# :: KnownNat n => Integer -> Index n
plus# :: Index m -> Index n -> Index ((m + n) - 1)
minus# :: Index m -> Index n -> Index ((m + n) - 1)
times# :: Index m -> Index n -> Index (((m - 1) * (n - 1)) + 1)
quot# :: Index n -> Index n -> Index n
rem# :: Index n -> Index n -> Index n
toInteger# :: Index n -> Integer
resize# :: KnownNat m => Index n -> Index m

Datatypes

newtype 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.

Constructors

I	The constructor, `I`, and the field, `unsafeToInteger`, are not synthesizable.
Fields unsafeToInteger :: Integer

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 :: Nat). 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 :: Index n -> Q Exp Source # liftTyped :: Index n -> Q (TExp (Index n)) Source #
KnownNat n => Bounded (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods minBound :: Index n Source # maxBound :: Index n Source #
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 Source # pred :: Index n -> Index n Source # toEnum :: Int -> Index n Source # fromEnum :: Index n -> Int Source # enumFrom :: Index n -> [Index n] Source # enumFromThen :: Index n -> Index n -> [Index n] Source # enumFromTo :: Index n -> Index n -> [Index n] Source # enumFromThenTo :: Index n -> Index n -> Index n -> [Index n] Source #
Eq (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods (==) :: Index n -> Index n -> Bool Source # (/=) :: Index n -> Index n -> Bool Source #
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 Source # rem :: Index n -> Index n -> Index n Source # div :: Index n -> Index n -> Index n Source # mod :: Index n -> Index n -> Index n Source # quotRem :: Index n -> Index n -> (Index n, Index n) Source # divMod :: Index n -> Index n -> (Index n, Index n) Source # toInteger :: Index n -> Integer Source #
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) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Index n) Source # toConstr :: Index n -> Constr Source # dataTypeOf :: Index n -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Index n)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Index n)) Source # gmapT :: (forall b. Data b => b -> b) -> Index n -> Index n Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Index n -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Index n -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Index n -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Index n -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Index n -> m (Index n) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Index n -> m (Index n) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Index n -> m (Index n) Source #
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 Source # (-) :: Index n -> Index n -> Index n Source # (*) :: Index n -> Index n -> Index n Source # negate :: Index n -> Index n Source # abs :: Index n -> Index n Source # signum :: Index n -> Index n Source # fromInteger :: Integer -> Index n Source #
Ord (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods compare :: Index n -> Index n -> Ordering Source # (<) :: Index n -> Index n -> Bool Source # (<=) :: Index n -> Index n -> Bool Source # (>) :: Index n -> Index n -> Bool Source # (>=) :: Index n -> Index n -> Bool Source # max :: Index n -> Index n -> Index n Source # min :: Index n -> Index n -> Index n Source #
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) Source # readList :: ReadS [Index n] Source # readPrec :: ReadPrec (Index n) Source # readListPrec :: ReadPrec [Index n] Source #
KnownNat n => Real (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods toRational :: Index n -> Rational Source #
Show (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods showsPrec :: Int -> Index n -> ShowS Source # show :: Index n -> String Source # showList :: [Index n] -> ShowS Source #
KnownNat n => Ix (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods range :: (Index n, Index n) -> [Index n] Source # index :: (Index n, Index n) -> Index n -> Int Source # unsafeIndex :: (Index n, Index n) -> Index n -> Int Source # inRange :: (Index n, Index n) -> Index n -> Bool Source # rangeSize :: (Index n, Index n) -> Int Source # unsafeRangeSize :: (Index n, Index n) -> Int Source #
Generic (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Associated Types type Rep (Index n) :: Type -> Type Source # Methods from :: Index n -> Rep (Index n) x Source # to :: Rep (Index n) x -> Index n Source #
KnownNat n => Arbitrary (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods arbitrary :: Gen (Index n) Source # shrink :: Index n -> [Index n] Source #
KnownNat n => CoArbitrary (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods coarbitrary :: Index n -> Gen b -> Gen b Source #
KnownNat n => PrintfArg (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods formatArg :: Index n -> FieldFormatter Source # parseFormat :: Index n -> ModifierParser Source #
(KnownNat n, 1 <= n) => Bits (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods (.&.) :: Index n -> Index n -> Index n Source # (.\|.) :: Index n -> Index n -> Index n Source # xor :: Index n -> Index n -> Index n Source # complement :: Index n -> Index n Source # shift :: Index n -> Int -> Index n Source # rotate :: Index n -> Int -> Index n Source # zeroBits :: Index n Source # bit :: Int -> Index n Source # setBit :: Index n -> Int -> Index n Source # clearBit :: Index n -> Int -> Index n Source # complementBit :: Index n -> Int -> Index n Source # testBit :: Index n -> Int -> Bool Source # bitSizeMaybe :: Index n -> Maybe Int Source # bitSize :: Index n -> Int Source # isSigned :: Index n -> Bool Source # shiftL :: Index n -> Int -> Index n Source # unsafeShiftL :: Index n -> Int -> Index n Source # shiftR :: Index n -> Int -> Index n Source # unsafeShiftR :: Index n -> Int -> Index n Source # rotateL :: Index n -> Int -> Index n Source # rotateR :: Index n -> Int -> Index n Source # popCount :: Index n -> Int Source #
(KnownNat n, 1 <= n) => FiniteBits (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods finiteBitSize :: Index n -> Int Source # countLeadingZeros :: Index n -> Int Source # countTrailingZeros :: Index n -> Int Source #
KnownNat n => Default (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods def :: Index n Source #
NFData (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index Methods rnf :: Index n -> () Source #
(KnownNat n, 1 <= 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 #
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, 1 <= 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 #
(KnownNat n, 1 <= 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 #
(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 #
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 #
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 #
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 #
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, 1 <= m, (2 ^ n) <= m) => NumConvert (BitVector n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvert :: BitVector n -> Index m Source #
(KnownNat n, KnownNat m, 1 <= n, n <= (2 ^ m)) => NumConvert (Index n) (BitVector m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvert :: Index n -> BitVector 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, 1 <= n, n <= (2 ^ m)) => NumConvert (Index n) (Unsigned m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvert :: Index n -> Unsigned m Source #
(KnownNat n, KnownNat m, n <= m) => NumConvert (Index n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvert :: Index n -> Index m Source #
(KnownNat n, KnownNat m, 1 <= m, (2 ^ n) <= m) => NumConvert (Unsigned n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.NumConvert Methods numConvert :: Unsigned n -> Index m Source #
(KnownNat n, KnownNat m) => MaybeNumConvert (BitVector n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvert :: BitVector n -> Maybe (Index m) Source #
(KnownNat n, KnownNat m, 1 <= n) => MaybeNumConvert (Index n) (BitVector m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvert :: Index n -> Maybe (BitVector 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, 1 <= n) => MaybeNumConvert (Index n) (Unsigned m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvert :: Index n -> Maybe (Unsigned m) Source #
(KnownNat n, KnownNat m) => MaybeNumConvert (Index n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvert :: Index n -> Maybe (Index m) Source #
(KnownNat n, KnownNat m) => MaybeNumConvert (Unsigned n) (Index m) Source #
Instance details Defined in Clash.Class.NumConvert.Internal.MaybeNumConvert Methods maybeNumConvert :: Unsigned n -> Maybe (Index 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 (Index n) Source #
Instance details Defined in Clash.Signal.Delayed.Bundle type Unbundled dom d (Index n) = DSignal dom d (Index n)
type Unbundled dom (Index n) Source #
Instance details Defined in Clash.Signal.Bundle type Unbundled dom (Index n) = Signal dom (Index n)
type TryDomain t (Index n) Source #
Instance details Defined in Clash.Class.HasDomain.HasSingleDomain type TryDomain t (Index n) = 'NotFound
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" 'True) (C1 ('MetaCons "I" 'PrefixI 'True) (S1 ('MetaSel ('Just "unsafeToInteger") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Integer)))
type BitSize (Index n) Source #
Instance details Defined in Clash.Sized.Internal.Index type BitSize (Index n) = CLog 2 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)