{-# LANGUAGE DataKinds #-}
{-# LANGUAGE DeriveDataTypeable #-}
{-# LANGUAGE MagicHash #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TemplateHaskell #-}
{-# LANGUAGE TypeApplications #-}
{-# LANGUAGE TypeFamilies #-}
{-# LANGUAGE TypeOperators #-}
{-# LANGUAGE UndecidableInstances #-}
{-# LANGUAGE Unsafe #-}
{-# OPTIONS_GHC -fplugin GHC.TypeLits.KnownNat.Solver #-}
{-# OPTIONS_HADDOCK show-extensions not-home #-}
module Clash.Sized.Internal.Unsigned
(
Unsigned (..)
, size#
, pack#
, unpack#
, eq#
, neq#
, lt#
, ge#
, gt#
, le#
, enumFrom#
, enumFromThen#
, enumFromTo#
, enumFromThenTo#
, minBound#
, maxBound#
, (+#)
, (-#)
, (*#)
, negate#
, fromInteger#
, plus#
, minus#
, times#
, quot#
, rem#
, toInteger#
, and#
, or#
, xor#
, complement#
, shiftL#
, shiftR#
, rotateL#
, rotateR#
, resize#
)
where
import Control.DeepSeq (NFData (..))
import Control.Lens (Index, Ixed (..), IxValue)
import Data.Bits (Bits (..), FiniteBits (..))
import Data.Data (Data)
import Data.Default (Default (..))
import Data.Proxy (Proxy (..))
import Text.Read (Read (..), ReadPrec)
import GHC.TypeLits (KnownNat, Nat, type (+), natVal)
import GHC.TypeLits.Extra (Max)
import Language.Haskell.TH (TypeQ, appT, conT, litT, numTyLit, sigE)
import Language.Haskell.TH.Syntax (Lift(..))
import Test.QuickCheck.Arbitrary (Arbitrary (..), CoArbitrary (..),
arbitraryBoundedIntegral,
coarbitraryIntegral)
import Clash.Class.BitPack (BitPack (..))
import Clash.Class.Num (ExtendingNum (..), SaturatingNum (..),
SaturationMode (..))
import Clash.Class.Resize (Resize (..))
import Clash.Prelude.BitIndex ((!), msb, replaceBit, split)
import Clash.Prelude.BitReduction (reduceOr)
import Clash.Sized.Internal.BitVector (BitVector (BV), Bit, high, low)
import qualified Clash.Sized.Internal.BitVector as BV
import Clash.XException (ShowX (..), showsPrecXWith)
newtype Unsigned (n :: Nat) =
U { unsafeToInteger :: Integer }
deriving Data
{-# NOINLINE size# #-}
size# :: KnownNat n => Unsigned n -> Int
size# u = fromInteger (natVal u)
instance NFData (Unsigned n) where
rnf (U i) = rnf i `seq` ()
{-# NOINLINE rnf #-}
instance Show (Unsigned n) where
show (U i) = show i
{-# NOINLINE show #-}
instance ShowX (Unsigned n) where
showsPrecX = showsPrecXWith showsPrec
instance KnownNat n => Read (Unsigned n) where
readPrec = fromIntegral <$> (readPrec :: ReadPrec Word)
instance BitPack (Unsigned n) where
type BitSize (Unsigned n) = n
pack = pack#
unpack = unpack#
{-# NOINLINE pack# #-}
pack# :: Unsigned n -> BitVector n
pack# (U i) = BV i
{-# NOINLINE unpack# #-}
unpack# :: BitVector n -> Unsigned n
unpack# (BV i) = U i
instance Eq (Unsigned n) where
(==) = eq#
(/=) = neq#
{-# NOINLINE eq# #-}
eq# :: Unsigned n -> Unsigned n -> Bool
eq# (U v1) (U v2) = v1 == v2
{-# NOINLINE neq# #-}
neq# :: Unsigned n -> Unsigned n -> Bool
neq# (U v1) (U v2) = v1 /= v2
instance Ord (Unsigned n) where
(<) = lt#
(>=) = ge#
(>) = gt#
(<=) = le#
lt#,ge#,gt#,le# :: Unsigned n -> Unsigned n -> Bool
{-# NOINLINE lt# #-}
lt# (U n) (U m) = n < m
{-# NOINLINE ge# #-}
ge# (U n) (U m) = n >= m
{-# NOINLINE gt# #-}
gt# (U n) (U m) = n > m
{-# NOINLINE le# #-}
le# (U n) (U m) = n <= m
instance KnownNat n => Enum (Unsigned n) where
succ = (+# fromInteger# 1)
pred = (-# fromInteger# 1)
toEnum = fromInteger# . toInteger
fromEnum = fromEnum . toInteger#
enumFrom = enumFrom#
enumFromThen = enumFromThen#
enumFromTo = enumFromTo#
enumFromThenTo = enumFromThenTo#
{-# NOINLINE enumFrom# #-}
{-# NOINLINE enumFromThen# #-}
{-# NOINLINE enumFromTo# #-}
{-# NOINLINE enumFromThenTo# #-}
enumFrom# :: KnownNat n => Unsigned n -> [Unsigned n]
enumFromThen# :: KnownNat n => Unsigned n -> Unsigned n -> [Unsigned n]
enumFromTo# :: Unsigned n -> Unsigned n -> [Unsigned n]
enumFromThenTo# :: Unsigned n -> Unsigned n -> Unsigned n -> [Unsigned n]
enumFrom# x = map fromInteger_INLINE [unsafeToInteger x ..]
enumFromThen# x y = map fromInteger_INLINE [unsafeToInteger x, unsafeToInteger y ..]
enumFromTo# x y = map U [unsafeToInteger x .. unsafeToInteger y]
enumFromThenTo# x1 x2 y = map U [unsafeToInteger x1, unsafeToInteger x2 .. unsafeToInteger y]
instance KnownNat n => Bounded (Unsigned n) where
minBound = minBound#
maxBound = maxBound#
{-# NOINLINE minBound# #-}
minBound# :: Unsigned n
minBound# = U 0
{-# NOINLINE maxBound# #-}
maxBound# :: forall n .KnownNat n => Unsigned n
maxBound# = let m = 1 `shiftL` fromInteger (natVal (Proxy @n))
in U (m - 1)
instance KnownNat n => Num (Unsigned n) where
(+) = (+#)
(-) = (-#)
(*) = (*#)
negate = negate#
abs = id
signum bv = resize# (unpack# (BV.pack# (reduceOr bv)))
fromInteger = fromInteger#
(+#),(-#),(*#) :: forall n . KnownNat n => Unsigned n -> Unsigned n -> Unsigned n
{-# NOINLINE (+#) #-}
(+#) (U i) (U j) = let m = 1 `shiftL` fromInteger (natVal (Proxy @n))
z = i + j
in if z >= m then U (z - m) else U z
{-# NOINLINE (-#) #-}
(-#) (U i) (U j) = let m = 1 `shiftL` fromInteger (natVal (Proxy @n))
z = i - j
in if z < 0 then U (m + z) else U z
{-# NOINLINE (*#) #-}
(*#) (U i) (U j) = fromInteger_INLINE (i * j)
{-# NOINLINE negate# #-}
negate# :: forall n . KnownNat n => Unsigned n -> Unsigned n
negate# (U 0) = U 0
negate# (U i) = sz `seq` U (sz - i)
where
sz = 1 `shiftL` fromInteger (natVal (Proxy @n))
{-# NOINLINE fromInteger# #-}
fromInteger# :: KnownNat n => Integer -> Unsigned n
fromInteger# = fromInteger_INLINE
{-# INLINE fromInteger_INLINE #-}
fromInteger_INLINE :: forall n . KnownNat n => Integer -> Unsigned n
fromInteger_INLINE i = U (i `mod` sz)
where
sz = 1 `shiftL` fromInteger (natVal (Proxy @n))
instance (KnownNat m, KnownNat n) => ExtendingNum (Unsigned m) (Unsigned n) where
type AResult (Unsigned m) (Unsigned n) = Unsigned (Max m n + 1)
plus = plus#
minus = minus#
type MResult (Unsigned m) (Unsigned n) = Unsigned (m + n)
times = times#
{-# NOINLINE plus# #-}
plus# :: Unsigned m -> Unsigned n -> Unsigned (Max m n + 1)
plus# (U a) (U b) = U (a + b)
{-# NOINLINE minus# #-}
minus# :: forall m n . (KnownNat m, KnownNat n) => Unsigned m -> Unsigned n
-> Unsigned (Max m n + 1)
minus# (U a) (U b) =
let sz = fromInteger (natVal (Proxy @(Max m n + 1)))
mask = 1 `shiftL` sz
z = a - b
in if z < 0 then U (mask + z) else U z
{-# NOINLINE times# #-}
times# :: Unsigned m -> Unsigned n -> Unsigned (m + n)
times# (U a) (U b) = U (a * b)
instance KnownNat n => Real (Unsigned n) where
toRational = toRational . toInteger#
instance KnownNat n => Integral (Unsigned n) where
quot = quot#
rem = rem#
div = quot#
mod = rem#
quotRem n d = (n `quot#` d,n `rem#` d)
divMod n d = (n `quot#` d,n `rem#` d)
toInteger = toInteger#
quot#,rem# :: Unsigned n -> Unsigned n -> Unsigned n
{-# NOINLINE quot# #-}
quot# (U i) (U j) = U (i `quot` j)
{-# NOINLINE rem# #-}
rem# (U i) (U j) = U (i `rem` j)
{-# NOINLINE toInteger# #-}
toInteger# :: Unsigned n -> Integer
toInteger# (U i) = i
instance KnownNat n => Bits (Unsigned n) where
(.&.) = and#
(.|.) = or#
xor = xor#
complement = complement#
zeroBits = 0
bit i = replaceBit i high 0
setBit v i = replaceBit i high v
clearBit v i = replaceBit i low v
complementBit v i = replaceBit i (BV.complement## (v ! i)) v
testBit v i = v ! i == high
bitSizeMaybe v = Just (size# v)
bitSize = size#
isSigned _ = False
shiftL v i = shiftL# v i
shiftR v i = shiftR# v i
rotateL v i = rotateL# v i
rotateR v i = rotateR# v i
popCount u = popCount (pack# u)
{-# NOINLINE and# #-}
and# :: Unsigned n -> Unsigned n -> Unsigned n
and# (U v1) (U v2) = U (v1 .&. v2)
{-# NOINLINE or# #-}
or# :: Unsigned n -> Unsigned n -> Unsigned n
or# (U v1) (U v2) = U (v1 .|. v2)
{-# NOINLINE xor# #-}
xor# :: Unsigned n -> Unsigned n -> Unsigned n
xor# (U v1) (U v2) = U (v1 `xor` v2)
{-# NOINLINE complement# #-}
complement# :: KnownNat n => Unsigned n -> Unsigned n
complement# (U i) = fromInteger_INLINE (complement i)
shiftL#, shiftR#, rotateL#, rotateR# :: KnownNat n => Unsigned n -> Int -> Unsigned n
{-# NOINLINE shiftL# #-}
shiftL# (U v) i
| i < 0 = error
$ "'shiftL undefined for negative number: " ++ show i
| otherwise = fromInteger_INLINE (shiftL v i)
{-# NOINLINE shiftR# #-}
shiftR# (U v) i
| i < 0 = error
$ "'shiftR undefined for negative number: " ++ show i
| otherwise = U (shiftR v i)
{-# NOINLINE rotateL# #-}
rotateL# _ b | b < 0 = error "'shiftL undefined for negative numbers"
rotateL# bv@(U n) b = fromInteger_INLINE (l .|. r)
where
l = shiftL n b'
r = shiftR n b''
b' = b `mod` sz
b'' = sz - b'
sz = fromInteger (natVal bv)
{-# NOINLINE rotateR# #-}
rotateR# _ b | b < 0 = error "'shiftR undefined for negative numbers"
rotateR# bv@(U n) b = fromInteger_INLINE (l .|. r)
where
l = shiftR n b'
r = shiftL n b''
b' = b `mod` sz
b'' = sz - b'
sz = fromInteger (natVal bv)
instance KnownNat n => FiniteBits (Unsigned n) where
finiteBitSize = size#
countLeadingZeros u = countLeadingZeros (pack# u)
countTrailingZeros u = countTrailingZeros (pack# u)
instance Resize Unsigned where
resize = resize#
zeroExtend = extend
truncateB = resize#
{-# NOINLINE resize# #-}
resize# :: forall n m . KnownNat m => Unsigned n -> Unsigned m
resize# (U i) = let m = 1 `shiftL` fromInteger (natVal (Proxy @m))
in if i >= m then fromInteger_INLINE i else U i
instance Default (Unsigned n) where
def = minBound#
instance KnownNat n => Lift (Unsigned n) where
lift u@(U i) = sigE [| fromInteger# i |] (decUnsigned (natVal u))
{-# NOINLINE lift #-}
decUnsigned :: Integer -> TypeQ
decUnsigned n = appT (conT ''Unsigned) (litT $ numTyLit n)
instance KnownNat n => SaturatingNum (Unsigned n) where
satPlus SatWrap a b = a +# b
satPlus SatZero a b =
let r = plus# a b
in case msb r of
0 -> resize# r
_ -> minBound#
satPlus _ a b =
let r = plus# a b
in case msb r of
0 -> resize# r
_ -> maxBound#
satMin SatWrap a b = a -# b
satMin _ a b =
let r = minus# a b
in case msb r of
0 -> resize# r
_ -> minBound#
satMult SatWrap a b = a *# b
satMult SatZero a b =
let r = times# a b
(rL,rR) = split r
in case rL of
0 -> unpack# rR
_ -> minBound#
satMult _ a b =
let r = times# a b
(rL,rR) = split r
in case rL of
0 -> unpack# rR
_ -> maxBound#
instance KnownNat n => Arbitrary (Unsigned n) where
arbitrary = arbitraryBoundedIntegral
shrink = BV.shrinkSizedUnsigned
instance KnownNat n => CoArbitrary (Unsigned n) where
coarbitrary = coarbitraryIntegral
type instance Index (Unsigned n) = Int
type instance IxValue (Unsigned n) = Bit
instance KnownNat n => Ixed (Unsigned n) where
ix i f s = unpack# <$> BV.replaceBit# (pack# s) i
<$> f (BV.index# (pack# s) i)