-- |
-- Module      : Basement.Bits
-- License     : BSD-style
-- Maintainer  : Haskell Foundation
-- Stability   : experimental
-- Portability : portable
--

{-# LANGUAGE CPP #-}
{-# LANGUAGE MagicHash #-}
{-# LANGUAGE DataKinds #-}
{-# LANGUAGE DefaultSignatures #-}
{-# LANGUAGE TypeOperators #-}
{-# LANGUAGE ConstraintKinds #-}
{-# LANGUAGE Rank2Types #-}
{-# LANGUAGE TypeApplications #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TypeSynonymInstances #-}
{-# LANGUAGE UndecidableInstances #-}
{-# LANGUAGE NegativeLiterals #-}

#include "MachDeps.h"

module Basement.Bits
    ( BitOps(..)
    , FiniteBitsOps(..)
    , Bits
    , toBits
    , allOne
    ) where

import Basement.Compat.Base
import Basement.Compat.Natural
import Basement.Numerical.Additive
import Basement.Numerical.Subtractive
import Basement.Numerical.Multiplicative
import Basement.Types.OffsetSize
import Basement.Types.Word128 (Word128)
import qualified Basement.Types.Word128 as Word128
import Basement.Types.Word256 (Word256)
import qualified Basement.Types.Word256 as Word256
import Basement.IntegralConv (wordToInt)
import Basement.Nat

import qualified Prelude
import qualified Data.Bits as OldBits
import Data.Maybe (fromMaybe)
import Data.Proxy
import GHC.Base hiding ((.))
import GHC.Prim
import GHC.Types
import GHC.Word
import GHC.Int
import Basement.Compat.Primitive

#if WORD_SIZE_IN_BITS < 64
import GHC.IntWord64
#endif

-- | operation over finite bits
class FiniteBitsOps bits where
    -- | get the number of bits in the given object
    --
    numberOfBits :: bits -> CountOf Bool

    -- | rotate the given bit set.
    rotateL :: bits -> CountOf Bool -> bits
    -- | rotate the given bit set.
    rotateR :: bits -> CountOf Bool -> bits

    -- | count of number of bit set to 1 in the given bit set.
    popCount :: bits -> CountOf Bool

    -- | reverse all bits in the argument
    bitFlip   :: bits -> bits

    -- | count of the number of leading zeros
    countLeadingZeros :: bits -> CountOf Bool
    default countLeadingZeros :: BitOps bits => bits -> CountOf Bool
    countLeadingZeros bits
n = CountOf Bool -> CountOf Bool -> CountOf Bool
loop CountOf Bool
stop CountOf Bool
forall a. Additive a => a
azero
      where
        stop :: CountOf Bool
stop = bits -> CountOf Bool
forall bits. FiniteBitsOps bits => bits -> CountOf Bool
numberOfBits bits
n
        loop :: CountOf Bool -> CountOf Bool -> CountOf Bool
loop CountOf Bool
idx CountOf Bool
count
            | CountOf Bool
idx CountOf Bool -> CountOf Bool -> Bool
forall a. Eq a => a -> a -> Bool
== CountOf Bool
forall a. Additive a => a
azero = CountOf Bool
count
            | bits -> Offset Bool -> Bool
forall bits. BitOps bits => bits -> Offset Bool -> Bool
isBitSet bits
n (CountOf Bool -> Offset Bool
forall a. CountOf a -> Offset a
sizeAsOffset CountOf Bool
idx) = CountOf Bool
count
            | Bool
otherwise = CountOf Bool -> CountOf Bool -> CountOf Bool
loop (CountOf Bool -> Maybe (CountOf Bool) -> CountOf Bool
forall a. a -> Maybe a -> a
fromMaybe CountOf Bool
forall a. Additive a => a
azero (CountOf Bool
idx CountOf Bool -> CountOf Bool -> Difference (CountOf Bool)
forall a. Subtractive a => a -> a -> Difference a
- CountOf Bool
1)) (CountOf Bool
count CountOf Bool -> CountOf Bool -> CountOf Bool
forall a. Additive a => a -> a -> a
+ CountOf Bool
1)

    -- | count of the number of trailing zeros
    countTrailingZeros :: bits -> CountOf Bool
    default countTrailingZeros :: BitOps bits => bits -> CountOf Bool
    countTrailingZeros bits
n = CountOf Bool -> CountOf Bool
loop CountOf Bool
forall a. Additive a => a
azero
      where
        stop :: CountOf Bool
stop = bits -> CountOf Bool
forall bits. FiniteBitsOps bits => bits -> CountOf Bool
numberOfBits bits
n
        loop :: CountOf Bool -> CountOf Bool
loop CountOf Bool
count
            | CountOf Bool
count CountOf Bool -> CountOf Bool -> Bool
forall a. Eq a => a -> a -> Bool
== CountOf Bool
stop = CountOf Bool
count
            | bits -> Offset Bool -> Bool
forall bits. BitOps bits => bits -> Offset Bool -> Bool
isBitSet bits
n (CountOf Bool -> Offset Bool
forall a. CountOf a -> Offset a
sizeAsOffset CountOf Bool
count) = CountOf Bool
count
            | Bool
otherwise = CountOf Bool -> CountOf Bool
loop (CountOf Bool
count CountOf Bool -> CountOf Bool -> CountOf Bool
forall a. Additive a => a -> a -> a
+ CountOf Bool
1)

-- | operation over bits
class BitOps bits where
    (.&.)     :: bits -> bits -> bits
    (.|.)     :: bits -> bits -> bits
    (.^.)     :: bits -> bits -> bits
    (.<<.)    :: bits -> CountOf Bool -> bits
    (.>>.)    :: bits -> CountOf Bool -> bits
    -- | construct a bit set with the bit at the given index set.
    bit       :: Offset Bool -> bits
    default bit :: Integral bits => Offset Bool -> bits
    bit Offset Bool
n = bits
1 bits -> CountOf Bool -> bits
forall bits. BitOps bits => bits -> CountOf Bool -> bits
.<<. (Offset Bool -> CountOf Bool
forall a. Offset a -> CountOf a
offsetAsSize Offset Bool
n)

    -- | test the bit at the given index is set
    isBitSet  :: bits -> Offset Bool -> Bool
    default isBitSet :: (Integral bits, Eq bits) => bits -> Offset Bool -> Bool
    isBitSet bits
x Offset Bool
n = bits
x bits -> bits -> bits
forall bits. BitOps bits => bits -> bits -> bits
.&. (Offset Bool -> bits
forall bits. BitOps bits => Offset Bool -> bits
bit Offset Bool
n) bits -> bits -> Bool
forall a. Eq a => a -> a -> Bool
/= bits
0

    -- | set the bit at the given index
    setBit    :: bits -> Offset Bool -> bits
    default setBit :: Integral bits => bits -> Offset Bool -> bits
    setBit bits
x Offset Bool
n = bits
x bits -> bits -> bits
forall bits. BitOps bits => bits -> bits -> bits
.|. (Offset Bool -> bits
forall bits. BitOps bits => Offset Bool -> bits
bit Offset Bool
n)

    -- | clear the bit at the given index
    clearBit  :: bits -> Offset Bool -> bits
    default clearBit :: FiniteBitsOps bits => bits -> Offset Bool -> bits
    clearBit bits
x Offset Bool
n = bits
x bits -> bits -> bits
forall bits. BitOps bits => bits -> bits -> bits
.&. (bits -> bits
forall bits. FiniteBitsOps bits => bits -> bits
bitFlip (Offset Bool -> bits
forall bits. BitOps bits => Offset Bool -> bits
bit Offset Bool
n))

infixl 8 .<<., .>>., `rotateL`, `rotateR`
infixl 7 .&.
infixl 6 .^.
infixl 5 .|.

-- | Bool set of 'n' bits.
--
newtype Bits (n :: Nat) = Bits { Bits n -> Natural
bitsToNatural :: Natural }
  deriving (Int -> Bits n -> ShowS
[Bits n] -> ShowS
Bits n -> String
(Int -> Bits n -> ShowS)
-> (Bits n -> String) -> ([Bits n] -> ShowS) -> Show (Bits n)
forall a.
(Int -> a -> ShowS) -> (a -> String) -> ([a] -> ShowS) -> Show a
forall (n :: Nat). Int -> Bits n -> ShowS
forall (n :: Nat). [Bits n] -> ShowS
forall (n :: Nat). Bits n -> String
showList :: [Bits n] -> ShowS
$cshowList :: forall (n :: Nat). [Bits n] -> ShowS
show :: Bits n -> String
$cshow :: forall (n :: Nat). Bits n -> String
showsPrec :: Int -> Bits n -> ShowS
$cshowsPrec :: forall (n :: Nat). Int -> Bits n -> ShowS
Show, Bits n -> Bits n -> Bool
(Bits n -> Bits n -> Bool)
-> (Bits n -> Bits n -> Bool) -> Eq (Bits n)
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
forall (n :: Nat). Bits n -> Bits n -> Bool
/= :: Bits n -> Bits n -> Bool
$c/= :: forall (n :: Nat). Bits n -> Bits n -> Bool
== :: Bits n -> Bits n -> Bool
$c== :: forall (n :: Nat). Bits n -> Bits n -> Bool
Eq, Eq (Bits n)
Eq (Bits n)
-> (Bits n -> Bits n -> Ordering)
-> (Bits n -> Bits n -> Bool)
-> (Bits n -> Bits n -> Bool)
-> (Bits n -> Bits n -> Bool)
-> (Bits n -> Bits n -> Bool)
-> (Bits n -> Bits n -> Bits n)
-> (Bits n -> Bits n -> Bits n)
-> Ord (Bits n)
Bits n -> Bits n -> Bool
Bits n -> Bits n -> Ordering
Bits n -> Bits n -> Bits n
forall a.
Eq a
-> (a -> a -> Ordering)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> a)
-> (a -> a -> a)
-> Ord a
forall (n :: Nat). Eq (Bits n)
forall (n :: Nat). Bits n -> Bits n -> Bool
forall (n :: Nat). Bits n -> Bits n -> Ordering
forall (n :: Nat). Bits n -> Bits n -> Bits n
min :: Bits n -> Bits n -> Bits n
$cmin :: forall (n :: Nat). Bits n -> Bits n -> Bits n
max :: Bits n -> Bits n -> Bits n
$cmax :: forall (n :: Nat). Bits n -> Bits n -> Bits n
>= :: Bits n -> Bits n -> Bool
$c>= :: forall (n :: Nat). Bits n -> Bits n -> Bool
> :: Bits n -> Bits n -> Bool
$c> :: forall (n :: Nat). Bits n -> Bits n -> Bool
<= :: Bits n -> Bits n -> Bool
$c<= :: forall (n :: Nat). Bits n -> Bits n -> Bool
< :: Bits n -> Bits n -> Bool
$c< :: forall (n :: Nat). Bits n -> Bits n -> Bool
compare :: Bits n -> Bits n -> Ordering
$ccompare :: forall (n :: Nat). Bits n -> Bits n -> Ordering
$cp1Ord :: forall (n :: Nat). Eq (Bits n)
Ord, Typeable)

-- | convenient Type Constraint Alias fot 'Bits' functions
type SizeValid n = (KnownNat n, 1 <= n)

-- convert an 'Int' into a 'Natural'.
-- This functions is not meant to be exported
lift :: Int -> Natural
lift :: Int -> Natural
lift = Int -> Natural
forall a b. (Integral a, Num b) => a -> b
Prelude.fromIntegral
{-# INLINABLE lift #-}

-- | convert the given 'Natural' into a 'Bits' of size 'n'
--
-- if bits that are not within the boundaries of the 'Bits n' will be truncated.
toBits :: SizeValid n => Natural -> Bits n
toBits :: Natural -> Bits n
toBits Natural
nat = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits Natural
nat Bits n -> Bits n -> Bits n
forall bits. BitOps bits => bits -> bits -> bits
.&. Bits n
forall (n :: Nat). SizeValid n => Bits n
allOne

-- | construct a 'Bits' with all bits set.
--
-- this function is equivalet to 'maxBound'
allOne :: forall n . SizeValid n => Bits n
allOne :: Bits n
allOne = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Natural
2 Natural -> Integer -> Natural
forall a b. (Num a, Integral b) => a -> b -> a
Prelude.^ Integer
n Natural -> Natural -> Natural
forall a. Num a => a -> a -> a
Prelude.- Natural
forall a. Multiplicative a => a
midentity)
  where
    n :: Integer
n = Proxy n -> Integer
forall (n :: Nat) (proxy :: Nat -> *).
KnownNat n =>
proxy n -> Integer
natVal (Proxy n
forall k (t :: k). Proxy t
Proxy @n)

instance SizeValid n => Enum (Bits n) where
    toEnum :: Int -> Bits n
toEnum Int
i | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
0 Bool -> Bool -> Bool
&& Int -> Natural
lift Int
i Natural -> Natural -> Bool
forall a. Ord a => a -> a -> Bool
> Bits n -> Natural
forall (n :: Nat). Bits n -> Natural
bitsToNatural Bits n
maxi = String -> Bits n
forall a. HasCallStack => String -> a
error String
"Bits n not within bound"
             | Bool
otherwise                            = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Int -> Natural
lift Int
i)
      where maxi :: Bits n
maxi = Bits n
forall (n :: Nat). SizeValid n => Bits n
allOne :: Bits n
    fromEnum :: Bits n -> Int
fromEnum (Bits Natural
n) = Natural -> Int
forall a. Enum a => a -> Int
fromEnum Natural
n
instance SizeValid n => Bounded (Bits n) where
    minBound :: Bits n
minBound = Bits n
forall a. Additive a => a
azero
    maxBound :: Bits n
maxBound = Bits n
forall (n :: Nat). SizeValid n => Bits n
allOne
instance SizeValid n => Additive (Bits n) where
    azero :: Bits n
azero = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits Natural
0
    + :: Bits n -> Bits n -> Bits n
(+) (Bits Natural
a) (Bits Natural
b) = Natural -> Bits n
forall (n :: Nat). SizeValid n => Natural -> Bits n
toBits (Natural
a Natural -> Natural -> Natural
forall a. Additive a => a -> a -> a
+ Natural
b)
    scale :: n -> Bits n -> Bits n
scale n
n (Bits Natural
a) = Natural -> Bits n
forall (n :: Nat). SizeValid n => Natural -> Bits n
toBits (n -> Natural -> Natural
forall a n. (Additive a, IsNatural n) => n -> a -> a
scale n
n Natural
a)
instance SizeValid n => Subtractive (Bits n) where
    type Difference (Bits n) = Bits n
    (-) (Bits Natural
a) (Bits Natural
b) = Bits n -> (Natural -> Bits n) -> Maybe Natural -> Bits n
forall b a. b -> (a -> b) -> Maybe a -> b
maybe Bits n
forall a. Additive a => a
azero Natural -> Bits n
forall (n :: Nat). SizeValid n => Natural -> Bits n
toBits (Natural
a Natural -> Natural -> Difference Natural
forall a. Subtractive a => a -> a -> Difference a
- Natural
b)
instance SizeValid n => Multiplicative (Bits n) where
    midentity :: Bits n
midentity = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits Natural
1
    * :: Bits n -> Bits n -> Bits n
(*) (Bits Natural
a) (Bits Natural
b) = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Natural
a Natural -> Natural -> Natural
forall a. Num a => a -> a -> a
Prelude.* Natural
b)
instance SizeValid n => IDivisible (Bits n) where
    div :: Bits n -> Bits n -> Bits n
div (Bits Natural
a) (Bits Natural
b) = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Natural
a Natural -> Natural -> Natural
forall a. Integral a => a -> a -> a
`Prelude.div` Natural
b)
    mod :: Bits n -> Bits n -> Bits n
mod (Bits Natural
a) (Bits Natural
b) = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Natural
a Natural -> Natural -> Natural
forall a. Integral a => a -> a -> a
`Prelude.mod` Natural
b)
    divMod :: Bits n -> Bits n -> (Bits n, Bits n)
divMod (Bits Natural
a) (Bits Natural
b) = let (Natural
q, Natural
r) = Natural -> Natural -> (Natural, Natural)
forall a. Integral a => a -> a -> (a, a)
Prelude.divMod Natural
a Natural
b in (Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits Natural
q, Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits Natural
r)

instance SizeValid n => BitOps (Bits n) where
    .&. :: Bits n -> Bits n -> Bits n
(.&.)    (Bits Natural
a) (Bits Natural
b)    = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Natural
a Natural -> Natural -> Natural
forall a. Bits a => a -> a -> a
OldBits..&. Natural
b)
    .|. :: Bits n -> Bits n -> Bits n
(.|.)    (Bits Natural
a) (Bits Natural
b)    = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Natural
a Natural -> Natural -> Natural
forall a. Bits a => a -> a -> a
OldBits..|. Natural
b)
    .^. :: Bits n -> Bits n -> Bits n
(.^.)    (Bits Natural
a) (Bits Natural
b)    = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Natural
a Natural -> Natural -> Natural
forall a. Bits a => a -> a -> a
`OldBits.xor` Natural
b)
    .<<. :: Bits n -> CountOf Bool -> Bits n
(.<<.)   (Bits Natural
a) (CountOf Int
w) = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Natural
a Natural -> Int -> Natural
forall a. Bits a => a -> Int -> a
`OldBits.shiftL` Int
w)
    .>>. :: Bits n -> CountOf Bool -> Bits n
(.>>.)   (Bits Natural
a) (CountOf Int
w) = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Natural
a Natural -> Int -> Natural
forall a. Bits a => a -> Int -> a
`OldBits.shiftR` Int
w)
    bit :: Offset Bool -> Bits n
bit               (Offset Int
w)  = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Int -> Natural
forall a. Bits a => Int -> a
OldBits.bit Int
w)
    isBitSet :: Bits n -> Offset Bool -> Bool
isBitSet (Bits Natural
a) (Offset Int
w)  = Natural -> Int -> Bool
forall a. Bits a => a -> Int -> Bool
OldBits.testBit Natural
a Int
w
    setBit :: Bits n -> Offset Bool -> Bits n
setBit   (Bits Natural
a) (Offset Int
w)  = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Natural -> Int -> Natural
forall a. Bits a => a -> Int -> a
OldBits.setBit Natural
a Int
w)
    clearBit :: Bits n -> Offset Bool -> Bits n
clearBit (Bits Natural
a) (Offset Int
w)  = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Natural -> Int -> Natural
forall a. Bits a => a -> Int -> a
OldBits.clearBit Natural
a Int
w)
instance (SizeValid n, NatWithinBound (CountOf Bool) n) => FiniteBitsOps (Bits n) where
    bitFlip :: Bits n -> Bits n
bitFlip (Bits Natural
a) = Natural -> Bits n
forall (n :: Nat). Natural -> Bits n
Bits (Natural -> Natural
forall a. Bits a => a -> a
OldBits.complement Natural
a)
    numberOfBits :: Bits n -> CountOf Bool
numberOfBits Bits n
_ = Proxy n -> CountOf Bool
forall (n :: Nat) ty (proxy :: Nat -> *).
(KnownNat n, NatWithinBound (CountOf ty) n) =>
proxy n -> CountOf ty
natValCountOf (Proxy n
forall k (t :: k). Proxy t
Proxy @n)
    rotateL :: Bits n -> CountOf Bool -> Bits n
rotateL Bits n
a CountOf Bool
i = (Bits n
a Bits n -> CountOf Bool -> Bits n
forall bits. BitOps bits => bits -> CountOf Bool -> bits
.<<. CountOf Bool
i) Bits n -> Bits n -> Bits n
forall bits. BitOps bits => bits -> bits -> bits
.|. (Bits n
a Bits n -> CountOf Bool -> Bits n
forall bits. BitOps bits => bits -> CountOf Bool -> bits
.>>. CountOf Bool
d)
      where
        n :: CountOf Bool
n = Proxy n -> CountOf Bool
forall (n :: Nat) ty (proxy :: Nat -> *).
(KnownNat n, NatWithinBound (CountOf ty) n) =>
proxy n -> CountOf ty
natValCountOf (Proxy n
forall k (t :: k). Proxy t
Proxy :: Proxy n)
        d :: CountOf Bool
d = CountOf Bool -> Maybe (CountOf Bool) -> CountOf Bool
forall a. a -> Maybe a -> a
fromMaybe (CountOf Bool -> Maybe (CountOf Bool) -> CountOf Bool
forall a. a -> Maybe a -> a
fromMaybe (String -> CountOf Bool
forall a. HasCallStack => String -> a
error String
"impossible") (CountOf Bool
i CountOf Bool -> CountOf Bool -> Difference (CountOf Bool)
forall a. Subtractive a => a -> a -> Difference a
- CountOf Bool
n)) (CountOf Bool
n CountOf Bool -> CountOf Bool -> Difference (CountOf Bool)
forall a. Subtractive a => a -> a -> Difference a
- CountOf Bool
i)
    rotateR :: Bits n -> CountOf Bool -> Bits n
rotateR Bits n
a CountOf Bool
i = (Bits n
a Bits n -> CountOf Bool -> Bits n
forall bits. BitOps bits => bits -> CountOf Bool -> bits
.>>. CountOf Bool
i) Bits n -> Bits n -> Bits n
forall bits. BitOps bits => bits -> bits -> bits
.|. (Bits n
a Bits n -> CountOf Bool -> Bits n
forall bits. BitOps bits => bits -> CountOf Bool -> bits
.<<. CountOf Bool
d)
      where
        n :: CountOf Bool
n = Proxy n -> CountOf Bool
forall (n :: Nat) ty (proxy :: Nat -> *).
(KnownNat n, NatWithinBound (CountOf ty) n) =>
proxy n -> CountOf ty
natValCountOf (Proxy n
forall k (t :: k). Proxy t
Proxy :: Proxy n)
        d :: CountOf Bool
d = CountOf Bool -> Maybe (CountOf Bool) -> CountOf Bool
forall a. a -> Maybe a -> a
fromMaybe (CountOf Bool -> Maybe (CountOf Bool) -> CountOf Bool
forall a. a -> Maybe a -> a
fromMaybe (String -> CountOf Bool
forall a. HasCallStack => String -> a
error String
"impossible") (CountOf Bool
i CountOf Bool -> CountOf Bool -> Difference (CountOf Bool)
forall a. Subtractive a => a -> a -> Difference a
- CountOf Bool
n)) (CountOf Bool
n CountOf Bool -> CountOf Bool -> Difference (CountOf Bool)
forall a. Subtractive a => a -> a -> Difference a
- CountOf Bool
i)
    popCount :: Bits n -> CountOf Bool
popCount (Bits Natural
n) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Natural -> Int
forall a. Bits a => a -> Int
OldBits.popCount Natural
n)

-- Bool ------------------------------------------------------------------------

instance FiniteBitsOps Bool where
    numberOfBits :: Bool -> CountOf Bool
numberOfBits Bool
_ = CountOf Bool
1
    rotateL :: Bool -> CountOf Bool -> Bool
rotateL Bool
x CountOf Bool
_ = Bool
x
    rotateR :: Bool -> CountOf Bool -> Bool
rotateR Bool
x CountOf Bool
_ = Bool
x
    popCount :: Bool -> CountOf Bool
popCount Bool
True = CountOf Bool
1
    popCount Bool
False = CountOf Bool
0
    bitFlip :: Bool -> Bool
bitFlip  = Bool -> Bool
not
    countLeadingZeros :: Bool -> CountOf Bool
countLeadingZeros Bool
True  = CountOf Bool
0
    countLeadingZeros Bool
False = CountOf Bool
1
    countTrailingZeros :: Bool -> CountOf Bool
countTrailingZeros Bool
True  = CountOf Bool
0
    countTrailingZeros Bool
False = CountOf Bool
1
instance BitOps Bool where
    .&. :: Bool -> Bool -> Bool
(.&.) = Bool -> Bool -> Bool
(&&)
    .|. :: Bool -> Bool -> Bool
(.|.) = Bool -> Bool -> Bool
(||)
    .^. :: Bool -> Bool -> Bool
(.^.) = Bool -> Bool -> Bool
forall a. Eq a => a -> a -> Bool
(/=)
    Bool
x .<<. :: Bool -> CountOf Bool -> Bool
.<<. CountOf Bool
0 = Bool
x
    Bool
_ .<<. CountOf Bool
_ = Bool
False
    Bool
x .>>. :: Bool -> CountOf Bool -> Bool
.>>. CountOf Bool
0 = Bool
x
    Bool
_ .>>. CountOf Bool
_ = Bool
False
    bit :: Offset Bool -> Bool
bit Offset Bool
0 = Bool
True
    bit Offset Bool
_ = Bool
False
    isBitSet :: Bool -> Offset Bool -> Bool
isBitSet Bool
x Offset Bool
0 = Bool
x
    isBitSet Bool
_ Offset Bool
_ = Bool
False
    setBit :: Bool -> Offset Bool -> Bool
setBit Bool
_ Offset Bool
0 = Bool
True
    setBit Bool
_ Offset Bool
_ = Bool
False
    clearBit :: Bool -> Offset Bool -> Bool
clearBit Bool
_ Offset Bool
0 = Bool
False
    clearBit Bool
x Offset Bool
_ = Bool
x

-- Word8 ----------------------------------------------------------------------

instance FiniteBitsOps Word8 where
    numberOfBits :: Word8 -> CountOf Bool
numberOfBits Word8
_ = CountOf Bool
8
    rotateL :: Word8 -> CountOf Bool -> Word8
rotateL Word8
w (CountOf Int
i) = Word8
w Word8 -> Int -> Word8
forall a. Bits a => a -> Int -> a
`OldBits.rotateL` Int
i
    rotateR :: Word8 -> CountOf Bool -> Word8
rotateR Word8
w (CountOf Int
i) = Word8
w Word8 -> Int -> Word8
forall a. Bits a => a -> Int -> a
`OldBits.rotateR` Int
i
    bitFlip :: Word8 -> Word8
bitFlip = Word8 -> Word8
forall a. Bits a => a -> a
OldBits.complement
    popCount :: Word8 -> CountOf Bool
popCount (W8# Word#
x#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
popCnt8# (Word# -> Word#
word8ToWord# Word#
x#)))
    countLeadingZeros :: Word8 -> CountOf Bool
countLeadingZeros (W8# Word#
w) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
clz8# (Word# -> Word#
word8ToWord# Word#
w))))
    countTrailingZeros :: Word8 -> CountOf Bool
countTrailingZeros (W8# Word#
w) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
ctz8# (Word# -> Word#
word8ToWord# Word#
w))))
instance BitOps Word8 where
    .&. :: Word8 -> Word8 -> Word8
(.&.)    Word8
a Word8
b    = (Word8
a Word8 -> Word8 -> Word8
forall a. Bits a => a -> a -> a
OldBits..&. Word8
b)
    .|. :: Word8 -> Word8 -> Word8
(.|.)    Word8
a Word8
b    = (Word8
a Word8 -> Word8 -> Word8
forall a. Bits a => a -> a -> a
OldBits..|. Word8
b)
    .^. :: Word8 -> Word8 -> Word8
(.^.)    Word8
a Word8
b    = (Word8
a Word8 -> Word8 -> Word8
forall a. Bits a => a -> a -> a
`OldBits.xor` Word8
b)
    .<<. :: Word8 -> CountOf Bool -> Word8
(.<<.)   Word8
a (CountOf Int
w) = (Word8
a Word8 -> Int -> Word8
forall a. Bits a => a -> Int -> a
`OldBits.shiftL` Int
w)
    .>>. :: Word8 -> CountOf Bool -> Word8
(.>>.)   Word8
a (CountOf Int
w) = (Word8
a Word8 -> Int -> Word8
forall a. Bits a => a -> Int -> a
`OldBits.shiftR` Int
w)

-- Word16 ---------------------------------------------------------------------

instance FiniteBitsOps Word16 where
    numberOfBits :: Word16 -> CountOf Bool
numberOfBits Word16
_ = CountOf Bool
16
    rotateL :: Word16 -> CountOf Bool -> Word16
rotateL Word16
w (CountOf Int
i) = Word16
w Word16 -> Int -> Word16
forall a. Bits a => a -> Int -> a
`OldBits.rotateL` Int
i
    rotateR :: Word16 -> CountOf Bool -> Word16
rotateR Word16
w (CountOf Int
i) = Word16
w Word16 -> Int -> Word16
forall a. Bits a => a -> Int -> a
`OldBits.rotateR` Int
i
    bitFlip :: Word16 -> Word16
bitFlip = Word16 -> Word16
forall a. Bits a => a -> a
OldBits.complement
    popCount :: Word16 -> CountOf Bool
popCount (W16# Word#
x#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
popCnt16# (Word# -> Word#
word16ToWord# Word#
x#)))
    countLeadingZeros :: Word16 -> CountOf Bool
countLeadingZeros (W16# Word#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
clz16# (Word# -> Word#
word16ToWord# Word#
w#)))
    countTrailingZeros :: Word16 -> CountOf Bool
countTrailingZeros (W16# Word#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
ctz16# (Word# -> Word#
word16ToWord# Word#
w#)))
instance BitOps Word16 where
    .&. :: Word16 -> Word16 -> Word16
(.&.)    Word16
a Word16
b    = (Word16
a Word16 -> Word16 -> Word16
forall a. Bits a => a -> a -> a
OldBits..&. Word16
b)
    .|. :: Word16 -> Word16 -> Word16
(.|.)    Word16
a Word16
b    = (Word16
a Word16 -> Word16 -> Word16
forall a. Bits a => a -> a -> a
OldBits..|. Word16
b)
    .^. :: Word16 -> Word16 -> Word16
(.^.)    Word16
a Word16
b    = (Word16
a Word16 -> Word16 -> Word16
forall a. Bits a => a -> a -> a
`OldBits.xor` Word16
b)
    .<<. :: Word16 -> CountOf Bool -> Word16
(.<<.)   Word16
a (CountOf Int
w) = (Word16
a Word16 -> Int -> Word16
forall a. Bits a => a -> Int -> a
`OldBits.shiftL` Int
w)
    .>>. :: Word16 -> CountOf Bool -> Word16
(.>>.)   Word16
a (CountOf Int
w) = (Word16
a Word16 -> Int -> Word16
forall a. Bits a => a -> Int -> a
`OldBits.shiftR` Int
w)

-- Word32 ---------------------------------------------------------------------

instance FiniteBitsOps Word32 where
    numberOfBits :: Word32 -> CountOf Bool
numberOfBits Word32
_ = CountOf Bool
32
    rotateL :: Word32 -> CountOf Bool -> Word32
rotateL Word32
w (CountOf Int
i) = Word32
w Word32 -> Int -> Word32
forall a. Bits a => a -> Int -> a
`OldBits.rotateL` Int
i
    rotateR :: Word32 -> CountOf Bool -> Word32
rotateR Word32
w (CountOf Int
i) = Word32
w Word32 -> Int -> Word32
forall a. Bits a => a -> Int -> a
`OldBits.rotateR` Int
i
    bitFlip :: Word32 -> Word32
bitFlip = Word32 -> Word32
forall a. Bits a => a -> a
OldBits.complement
    popCount :: Word32 -> CountOf Bool
popCount (W32# Word#
x#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
popCnt32# (Word# -> Word#
word32ToWord# Word#
x#)))
    countLeadingZeros :: Word32 -> CountOf Bool
countLeadingZeros (W32# Word#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
clz32# (Word# -> Word#
word32ToWord# Word#
w#)))
    countTrailingZeros :: Word32 -> CountOf Bool
countTrailingZeros (W32# Word#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
ctz32# (Word# -> Word#
word32ToWord# Word#
w#)))
instance BitOps Word32 where
    .&. :: Word32 -> Word32 -> Word32
(.&.)    Word32
a Word32
b    = (Word32
a Word32 -> Word32 -> Word32
forall a. Bits a => a -> a -> a
OldBits..&. Word32
b)
    .|. :: Word32 -> Word32 -> Word32
(.|.)    Word32
a Word32
b    = (Word32
a Word32 -> Word32 -> Word32
forall a. Bits a => a -> a -> a
OldBits..|. Word32
b)
    .^. :: Word32 -> Word32 -> Word32
(.^.)    Word32
a Word32
b    = (Word32
a Word32 -> Word32 -> Word32
forall a. Bits a => a -> a -> a
`OldBits.xor` Word32
b)
    .<<. :: Word32 -> CountOf Bool -> Word32
(.<<.)   Word32
a (CountOf Int
w) = (Word32
a Word32 -> Int -> Word32
forall a. Bits a => a -> Int -> a
`OldBits.shiftL` Int
w)
    .>>. :: Word32 -> CountOf Bool -> Word32
(.>>.)   Word32
a (CountOf Int
w) = (Word32
a Word32 -> Int -> Word32
forall a. Bits a => a -> Int -> a
`OldBits.shiftR` Int
w)

-- Word ---------------------------------------------------------------------

#if WORD_SIZE_IN_BITS == 64
instance FiniteBitsOps Word where
    numberOfBits :: Word -> CountOf Bool
numberOfBits Word
_ = CountOf Bool
64
    rotateL :: Word -> CountOf Bool -> Word
rotateL Word
w (CountOf Int
i) = Word
w Word -> Int -> Word
forall a. Bits a => a -> Int -> a
`OldBits.rotateL` Int
i
    rotateR :: Word -> CountOf Bool -> Word
rotateR Word
w (CountOf Int
i) = Word
w Word -> Int -> Word
forall a. Bits a => a -> Int -> a
`OldBits.rotateR` Int
i
    bitFlip :: Word -> Word
bitFlip = Word -> Word
forall a. Bits a => a -> a
OldBits.complement
#if __GLASGOW_HASKELL__ >= 904
    popCount (W# x#) = CountOf $ wordToInt (W# (popCnt64# (wordToWord64# x#)))
    countLeadingZeros (W# w#) = CountOf $ wordToInt (W# (clz64# (wordToWord64# w#)))
    countTrailingZeros (W# w#) = CountOf $ wordToInt (W# (ctz64# (wordToWord64# w#)))
#else
    popCount :: Word -> CountOf Bool
popCount (W# Word#
x#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
popCnt64# Word#
x#))
    countLeadingZeros :: Word -> CountOf Bool
countLeadingZeros (W# Word#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
clz64# Word#
w#))
    countTrailingZeros :: Word -> CountOf Bool
countTrailingZeros (W# Word#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
ctz64# Word#
w#))
#endif
#else
instance FiniteBitsOps Word where
    numberOfBits _ = 32
    rotateL w (CountOf i) = w `OldBits.rotateL` i
    rotateR w (CountOf i) = w `OldBits.rotateR` i
    bitFlip = OldBits.complement
    popCount (W# x#) = CountOf $ wordToInt (W# (popCnt32# x#))
    countLeadingZeros (W# w#) = CountOf $ wordToInt (W# (clz32# w#))
    countTrailingZeros (W# w#) = CountOf $ wordToInt (W# (ctz32# w#))
#endif

instance BitOps Word where
    .&. :: Word -> Word -> Word
(.&.)    Word
a Word
b    = (Word
a Word -> Word -> Word
forall a. Bits a => a -> a -> a
OldBits..&. Word
b)
    .|. :: Word -> Word -> Word
(.|.)    Word
a Word
b    = (Word
a Word -> Word -> Word
forall a. Bits a => a -> a -> a
OldBits..|. Word
b)
    .^. :: Word -> Word -> Word
(.^.)    Word
a Word
b    = (Word
a Word -> Word -> Word
forall a. Bits a => a -> a -> a
`OldBits.xor` Word
b)
    .<<. :: Word -> CountOf Bool -> Word
(.<<.)   Word
a (CountOf Int
w) = (Word
a Word -> Int -> Word
forall a. Bits a => a -> Int -> a
`OldBits.shiftL` Int
w)
    .>>. :: Word -> CountOf Bool -> Word
(.>>.)   Word
a (CountOf Int
w) = (Word
a Word -> Int -> Word
forall a. Bits a => a -> Int -> a
`OldBits.shiftR` Int
w)

-- Word64 ---------------------------------------------------------------------

#if WORD_SIZE_IN_BITS == 64
instance FiniteBitsOps Word64 where
    numberOfBits :: Word64 -> CountOf Bool
numberOfBits Word64
_ = CountOf Bool
64
    rotateL :: Word64 -> CountOf Bool -> Word64
rotateL Word64
w (CountOf Int
i) = Word64
w Word64 -> Int -> Word64
forall a. Bits a => a -> Int -> a
`OldBits.rotateL` Int
i
    rotateR :: Word64 -> CountOf Bool -> Word64
rotateR Word64
w (CountOf Int
i) = Word64
w Word64 -> Int -> Word64
forall a. Bits a => a -> Int -> a
`OldBits.rotateR` Int
i
    bitFlip :: Word64 -> Word64
bitFlip = Word64 -> Word64
forall a. Bits a => a -> a
OldBits.complement
    popCount :: Word64 -> CountOf Bool
popCount (W64# Word#
x#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
popCnt64# Word#
x#))
    countLeadingZeros :: Word64 -> CountOf Bool
countLeadingZeros (W64# Word#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
clz64# Word#
w#))
    countTrailingZeros :: Word64 -> CountOf Bool
countTrailingZeros (W64# Word#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
ctz64# Word#
w#))
instance BitOps Word64 where
    .&. :: Word64 -> Word64 -> Word64
(.&.)    Word64
a Word64
b    = (Word64
a Word64 -> Word64 -> Word64
forall a. Bits a => a -> a -> a
OldBits..&. Word64
b)
    .|. :: Word64 -> Word64 -> Word64
(.|.)    Word64
a Word64
b    = (Word64
a Word64 -> Word64 -> Word64
forall a. Bits a => a -> a -> a
OldBits..|. Word64
b)
    .^. :: Word64 -> Word64 -> Word64
(.^.)    Word64
a Word64
b    = (Word64
a Word64 -> Word64 -> Word64
forall a. Bits a => a -> a -> a
`OldBits.xor` Word64
b)
    .<<. :: Word64 -> CountOf Bool -> Word64
(.<<.)   Word64
a (CountOf Int
w) = (Word64
a Word64 -> Int -> Word64
forall a. Bits a => a -> Int -> a
`OldBits.shiftL` Int
w)
    .>>. :: Word64 -> CountOf Bool -> Word64
(.>>.)   Word64
a (CountOf Int
w) = (Word64
a Word64 -> Int -> Word64
forall a. Bits a => a -> Int -> a
`OldBits.shiftR` Int
w)
#else
instance FiniteBitsOps Word64 where
    numberOfBits _ = 64
    rotateL w (CountOf i) = w `OldBits.rotateL` i
    rotateR w (CountOf i) = w `OldBits.rotateR` i
    bitFlip = OldBits.complement
    popCount (W64# x#) = CountOf $ wordToInt (W# (popCnt64# x#))
    countLeadingZeros (W64# w#) = CountOf $ wordToInt (W# (clz64# w#))
    countTrailingZeros (W64# w#) = CountOf $ wordToInt (W# (ctz64# w#))
instance BitOps Word64 where
    (.&.)    a b    = (a OldBits..&. b)
    (.|.)    a b    = (a OldBits..|. b)
    (.^.)    a b    = (a `OldBits.xor` b)
    (.<<.)   a (CountOf w) = (a `OldBits.shiftL` w)
    (.>>.)   a (CountOf w) = (a `OldBits.shiftR` w)
#endif

-- Word128 --------------------------------------------------------------------

instance FiniteBitsOps Word128 where
    numberOfBits :: Word128 -> CountOf Bool
numberOfBits Word128
_ = CountOf Bool
128
    rotateL :: Word128 -> CountOf Bool -> Word128
rotateL Word128
w (CountOf Int
n) = Word128 -> Int -> Word128
Word128.rotateL Word128
w Int
n
    rotateR :: Word128 -> CountOf Bool -> Word128
rotateR Word128
w (CountOf Int
n) = Word128 -> Int -> Word128
Word128.rotateR Word128
w Int
n
    bitFlip :: Word128 -> Word128
bitFlip = Word128 -> Word128
Word128.complement
    popCount :: Word128 -> CountOf Bool
popCount = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool)
-> (Word128 -> Int) -> Word128 -> CountOf Bool
forall k (cat :: k -> k -> *) (b :: k) (c :: k) (a :: k).
Category cat =>
cat b c -> cat a b -> cat a c
. Word128 -> Int
Word128.popCount
instance BitOps Word128 where
    .&. :: Word128 -> Word128 -> Word128
(.&.) = Word128 -> Word128 -> Word128
Word128.bitwiseAnd
    .|. :: Word128 -> Word128 -> Word128
(.|.) = Word128 -> Word128 -> Word128
Word128.bitwiseOr
    .^. :: Word128 -> Word128 -> Word128
(.^.) = Word128 -> Word128 -> Word128
Word128.bitwiseXor
    .<<. :: Word128 -> CountOf Bool -> Word128
(.<<.) Word128
w (CountOf Int
n) = Word128 -> Int -> Word128
Word128.shiftL Word128
w Int
n
    .>>. :: Word128 -> CountOf Bool -> Word128
(.>>.) Word128
w (CountOf Int
n) = Word128 -> Int -> Word128
Word128.shiftR Word128
w Int
n

-- Word256 --------------------------------------------------------------------

instance FiniteBitsOps Word256 where
    numberOfBits :: Word256 -> CountOf Bool
numberOfBits Word256
_ = CountOf Bool
256
    rotateL :: Word256 -> CountOf Bool -> Word256
rotateL Word256
w (CountOf Int
n) = Word256 -> Int -> Word256
Word256.rotateL Word256
w Int
n
    rotateR :: Word256 -> CountOf Bool -> Word256
rotateR Word256
w (CountOf Int
n) = Word256 -> Int -> Word256
Word256.rotateR Word256
w Int
n
    bitFlip :: Word256 -> Word256
bitFlip = Word256 -> Word256
Word256.complement
    popCount :: Word256 -> CountOf Bool
popCount = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool)
-> (Word256 -> Int) -> Word256 -> CountOf Bool
forall k (cat :: k -> k -> *) (b :: k) (c :: k) (a :: k).
Category cat =>
cat b c -> cat a b -> cat a c
. Word256 -> Int
Word256.popCount
instance BitOps Word256 where
    .&. :: Word256 -> Word256 -> Word256
(.&.) = Word256 -> Word256 -> Word256
Word256.bitwiseAnd
    .|. :: Word256 -> Word256 -> Word256
(.|.) = Word256 -> Word256 -> Word256
Word256.bitwiseOr
    .^. :: Word256 -> Word256 -> Word256
(.^.) = Word256 -> Word256 -> Word256
Word256.bitwiseXor
    .<<. :: Word256 -> CountOf Bool -> Word256
(.<<.) Word256
w (CountOf Int
n) = Word256 -> Int -> Word256
Word256.shiftL Word256
w Int
n
    .>>. :: Word256 -> CountOf Bool -> Word256
(.>>.) Word256
w (CountOf Int
n) = Word256 -> Int -> Word256
Word256.shiftR Word256
w Int
n

-- Int8 -----------------------------------------------------------------------
instance FiniteBitsOps Int8 where
    numberOfBits :: Int8 -> CountOf Bool
numberOfBits Int8
_ = CountOf Bool
8
    rotateL :: Int8 -> CountOf Bool -> Int8
rotateL Int8
w (CountOf Int
i) = Int8
w Int8 -> Int -> Int8
forall a. Bits a => a -> Int -> a
`OldBits.rotateL` Int
i
    rotateR :: Int8 -> CountOf Bool -> Int8
rotateR Int8
w (CountOf Int
i) = Int8
w Int8 -> Int -> Int8
forall a. Bits a => a -> Int -> a
`OldBits.rotateR` Int
i
    bitFlip :: Int8 -> Int8
bitFlip = Int8 -> Int8
forall a. Bits a => a -> a
OldBits.complement
    popCount :: Int8 -> CountOf Bool
popCount (I8# Int#
x#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
popCnt8# (Int# -> Word#
int2Word# (Int# -> Int#
int8ToInt# Int#
x#))))
    countLeadingZeros :: Int8 -> CountOf Bool
countLeadingZeros (I8# Int#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
clz8# (Int# -> Word#
int2Word# (Int# -> Int#
int8ToInt# Int#
w#))))
    countTrailingZeros :: Int8 -> CountOf Bool
countTrailingZeros (I8# Int#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
ctz8# (Int# -> Word#
int2Word# (Int# -> Int#
int8ToInt# Int#
w#))))
instance BitOps Int8 where
    .&. :: Int8 -> Int8 -> Int8
(.&.)    Int8
a Int8
b    = (Int8
a Int8 -> Int8 -> Int8
forall a. Bits a => a -> a -> a
OldBits..&. Int8
b)
    .|. :: Int8 -> Int8 -> Int8
(.|.)    Int8
a Int8
b    = (Int8
a Int8 -> Int8 -> Int8
forall a. Bits a => a -> a -> a
OldBits..|. Int8
b)
    .^. :: Int8 -> Int8 -> Int8
(.^.)    Int8
a Int8
b    = (Int8
a Int8 -> Int8 -> Int8
forall a. Bits a => a -> a -> a
`OldBits.xor` Int8
b)
    .<<. :: Int8 -> CountOf Bool -> Int8
(.<<.)   Int8
a (CountOf Int
w) = (Int8
a Int8 -> Int -> Int8
forall a. Bits a => a -> Int -> a
`OldBits.shiftL` Int
w)
    .>>. :: Int8 -> CountOf Bool -> Int8
(.>>.)   Int8
a (CountOf Int
w) = (Int8
a Int8 -> Int -> Int8
forall a. Bits a => a -> Int -> a
`OldBits.shiftR` Int
w)

-- Int16 ----------------------------------------------------------------------

instance FiniteBitsOps Int16 where
    numberOfBits :: Int16 -> CountOf Bool
numberOfBits Int16
_ = CountOf Bool
16
    rotateL :: Int16 -> CountOf Bool -> Int16
rotateL Int16
w (CountOf Int
i) = Int16
w Int16 -> Int -> Int16
forall a. Bits a => a -> Int -> a
`OldBits.rotateL` Int
i
    rotateR :: Int16 -> CountOf Bool -> Int16
rotateR Int16
w (CountOf Int
i) = Int16
w Int16 -> Int -> Int16
forall a. Bits a => a -> Int -> a
`OldBits.rotateR` Int
i
    bitFlip :: Int16 -> Int16
bitFlip = Int16 -> Int16
forall a. Bits a => a -> a
OldBits.complement
    popCount :: Int16 -> CountOf Bool
popCount (I16# Int#
x#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
popCnt16# (Int# -> Word#
int2Word# (Int# -> Int#
int16ToInt# Int#
x#))))
    countLeadingZeros :: Int16 -> CountOf Bool
countLeadingZeros (I16# Int#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
clz16# (Int# -> Word#
int2Word# (Int# -> Int#
int16ToInt# Int#
w#))))
    countTrailingZeros :: Int16 -> CountOf Bool
countTrailingZeros (I16# Int#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
ctz16# (Int# -> Word#
int2Word# (Int# -> Int#
int16ToInt# Int#
w#))))
instance BitOps Int16 where
    .&. :: Int16 -> Int16 -> Int16
(.&.)    Int16
a Int16
b    = (Int16
a Int16 -> Int16 -> Int16
forall a. Bits a => a -> a -> a
OldBits..&. Int16
b)
    .|. :: Int16 -> Int16 -> Int16
(.|.)    Int16
a Int16
b    = (Int16
a Int16 -> Int16 -> Int16
forall a. Bits a => a -> a -> a
OldBits..|. Int16
b)
    .^. :: Int16 -> Int16 -> Int16
(.^.)    Int16
a Int16
b    = (Int16
a Int16 -> Int16 -> Int16
forall a. Bits a => a -> a -> a
`OldBits.xor` Int16
b)
    .<<. :: Int16 -> CountOf Bool -> Int16
(.<<.)   Int16
a (CountOf Int
w) = (Int16
a Int16 -> Int -> Int16
forall a. Bits a => a -> Int -> a
`OldBits.shiftL` Int
w)
    .>>. :: Int16 -> CountOf Bool -> Int16
(.>>.)   Int16
a (CountOf Int
w) = (Int16
a Int16 -> Int -> Int16
forall a. Bits a => a -> Int -> a
`OldBits.shiftR` Int
w)

-- Int32 ----------------------------------------------------------------------

instance FiniteBitsOps Int32 where
    numberOfBits :: Int32 -> CountOf Bool
numberOfBits Int32
_ = CountOf Bool
32
    rotateL :: Int32 -> CountOf Bool -> Int32
rotateL Int32
w (CountOf Int
i) = Int32
w Int32 -> Int -> Int32
forall a. Bits a => a -> Int -> a
`OldBits.rotateL` Int
i
    rotateR :: Int32 -> CountOf Bool -> Int32
rotateR Int32
w (CountOf Int
i) = Int32
w Int32 -> Int -> Int32
forall a. Bits a => a -> Int -> a
`OldBits.rotateR` Int
i
    bitFlip :: Int32 -> Int32
bitFlip = Int32 -> Int32
forall a. Bits a => a -> a
OldBits.complement
    popCount :: Int32 -> CountOf Bool
popCount (I32# Int#
x#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
popCnt32# (Int# -> Word#
int2Word# (Int# -> Int#
int32ToInt# Int#
x#))))
    countLeadingZeros :: Int32 -> CountOf Bool
countLeadingZeros (I32# Int#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
clz32# (Int# -> Word#
int2Word# (Int# -> Int#
int32ToInt# Int#
w#))))
    countTrailingZeros :: Int32 -> CountOf Bool
countTrailingZeros (I32# Int#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
ctz32# (Int# -> Word#
int2Word# (Int# -> Int#
int32ToInt# Int#
w#))))
instance BitOps Int32 where
    .&. :: Int32 -> Int32 -> Int32
(.&.)    Int32
a Int32
b    = (Int32
a Int32 -> Int32 -> Int32
forall a. Bits a => a -> a -> a
OldBits..&. Int32
b)
    .|. :: Int32 -> Int32 -> Int32
(.|.)    Int32
a Int32
b    = (Int32
a Int32 -> Int32 -> Int32
forall a. Bits a => a -> a -> a
OldBits..|. Int32
b)
    .^. :: Int32 -> Int32 -> Int32
(.^.)    Int32
a Int32
b    = (Int32
a Int32 -> Int32 -> Int32
forall a. Bits a => a -> a -> a
`OldBits.xor` Int32
b)
    .<<. :: Int32 -> CountOf Bool -> Int32
(.<<.)   Int32
a (CountOf Int
w) = (Int32
a Int32 -> Int -> Int32
forall a. Bits a => a -> Int -> a
`OldBits.shiftL` Int
w)
    .>>. :: Int32 -> CountOf Bool -> Int32
(.>>.)   Int32
a (CountOf Int
w) = (Int32
a Int32 -> Int -> Int32
forall a. Bits a => a -> Int -> a
`OldBits.shiftR` Int
w)
-- Int64 ----------------------------------------------------------------------

#if WORD_SIZE_IN_BITS == 64
instance FiniteBitsOps Int64 where
    numberOfBits :: Int64 -> CountOf Bool
numberOfBits Int64
_ = CountOf Bool
64
    rotateL :: Int64 -> CountOf Bool -> Int64
rotateL Int64
w (CountOf Int
i) = Int64
w Int64 -> Int -> Int64
forall a. Bits a => a -> Int -> a
`OldBits.rotateL` Int
i
    rotateR :: Int64 -> CountOf Bool -> Int64
rotateR Int64
w (CountOf Int
i) = Int64
w Int64 -> Int -> Int64
forall a. Bits a => a -> Int -> a
`OldBits.rotateR` Int
i
    bitFlip :: Int64 -> Int64
bitFlip = Int64 -> Int64
forall a. Bits a => a -> a
OldBits.complement
#if __GLASGOW_HASKELL__ >= 904
    popCount (I64# x#) = CountOf $ wordToInt (W# (popCnt64# (wordToWord64# (int2Word# (int64ToInt# x#)))))
    countLeadingZeros (I64# w#) = CountOf $ wordToInt (W# (clz64# (wordToWord64# (int2Word# (int64ToInt# w#)))))
    countTrailingZeros (I64# w#) = CountOf $ wordToInt (W# (ctz64# (wordToWord64# (int2Word# (int64ToInt# w#)))))
#else
    popCount :: Int64 -> CountOf Bool
popCount (I64# Int#
x#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
popCnt64# (Int# -> Word#
int2Word# Int#
x#)))
    countLeadingZeros :: Int64 -> CountOf Bool
countLeadingZeros (I64# Int#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
clz64# (Int# -> Word#
int2Word# Int#
w#)))
    countTrailingZeros :: Int64 -> CountOf Bool
countTrailingZeros (I64# Int#
w#) = Int -> CountOf Bool
forall ty. Int -> CountOf ty
CountOf (Int -> CountOf Bool) -> Int -> CountOf Bool
forall a b. (a -> b) -> a -> b
$ Word -> Int
wordToInt (Word# -> Word
W# (Word# -> Word#
ctz64# (Int# -> Word#
int2Word# Int#
w#)))
#endif
instance BitOps Int64 where
    .&. :: Int64 -> Int64 -> Int64
(.&.)    Int64
a Int64
b    = (Int64
a Int64 -> Int64 -> Int64
forall a. Bits a => a -> a -> a
OldBits..&. Int64
b)
    .|. :: Int64 -> Int64 -> Int64
(.|.)    Int64
a Int64
b    = (Int64
a Int64 -> Int64 -> Int64
forall a. Bits a => a -> a -> a
OldBits..|. Int64
b)
    .^. :: Int64 -> Int64 -> Int64
(.^.)    Int64
a Int64
b    = (Int64
a Int64 -> Int64 -> Int64
forall a. Bits a => a -> a -> a
`OldBits.xor` Int64
b)
    .<<. :: Int64 -> CountOf Bool -> Int64
(.<<.)   Int64
a (CountOf Int
w) = (Int64
a Int64 -> Int -> Int64
forall a. Bits a => a -> Int -> a
`OldBits.shiftL` Int
w)
    .>>. :: Int64 -> CountOf Bool -> Int64
(.>>.)   Int64
a (CountOf Int
w) = (Int64
a Int64 -> Int -> Int64
forall a. Bits a => a -> Int -> a
`OldBits.shiftR` Int
w)
#else
instance FiniteBitsOps Int64 where
    numberOfBits _ = 64
    rotateL w (CountOf i) = w `OldBits.rotateL` i
    rotateR w (CountOf i) = w `OldBits.rotateR` i
    bitFlip = OldBits.complement
    popCount (I64# x#) = CountOf $ wordToInt (W# (popCnt64# (int64ToWord64# x#)))
    countLeadingZeros (I64# w#) = CountOf $ wordToInt (W# (clz64# (int64ToWord64# w#)))
    countTrailingZeros (I64# w#) = CountOf $ wordToInt (W# (ctz64# (int64ToWord64# w#)))
instance BitOps Int64 where
    (.&.)    a b    = (a OldBits..&. b)
    (.|.)    a b    = (a OldBits..|. b)
    (.^.)    a b    = (a `OldBits.xor` b)
    (.<<.)   a (CountOf w) = (a `OldBits.shiftL` w)
    (.>>.)   a (CountOf w) = (a `OldBits.shiftR` w)

#endif