{-# LANGUAGE MagicHash, GeneralizedNewtypeDeriving, UnboxedTuples #-} module Data.Noun.Atom where import ClassyPrelude import Control.Lens -- import Prelude ((^)) import GHC.Integer.GMP.Internals import GHC.Natural import GHC.Prim import GHC.Word import GHC.Int import Data.Bits import Test.QuickCheck.Arbitrary import Test.QuickCheck.Gen import Text.Printf import Data.Flat -------------------------------------------------------------------------------- newtype Atom = MkAtom { unAtom :: Natural } deriving newtype (Eq, Ord, Num, Bits, Enum, Real, Integral, Flat) instance Show Atom where show (MkAtom a) = show a {- An Atom with a bit-offset. -} data Cursor = Cursor { _cOffset :: {-# UNPACK #-} !Int , _cBuffer :: !Atom } deriving (Eq, Ord, Show) data Slice = Slice { _sOffset :: {-# UNPACK #-} !Int , _sWidth :: {-# UNPACK #-} !Int , _sBuffer :: !Atom } deriving (Eq, Ord, Show) makeLenses ''Cursor makeLenses ''Slice -- Instances ------------------------------------------------------------------- instance Arbitrary Natural where arbitrary = fromInteger . abs <$> arbitrary instance Arbitrary Atom where arbitrary = do arbitrary >>= \case False -> MkAtom <$> arbitrary True -> arbitrary <&> ((`mod` 16) . MkAtom) -- Conversion ------------------------------------------------------------------ class IsAtom a where toAtom :: a -> Atom fromAtom :: Atom -> a instance IsAtom Atom where toAtom = id fromAtom = id instance IsAtom Natural where toAtom = MkAtom fromAtom (MkAtom a) = a instance IsAtom Word8 where toAtom = fromIntegral fromAtom = fromIntegral instance IsAtom Word16 where toAtom = fromIntegral fromAtom = fromIntegral instance IsAtom Word32 where toAtom = fromIntegral fromAtom = fromIntegral instance IsAtom Word64 where toAtom = fromIntegral fromAtom = fromIntegral instance IsAtom Word where toAtom = fromIntegral fromAtom = fromIntegral instance IsAtom Int where toAtom = fromIntegral fromAtom = fromIntegral instance IsAtom Integer where toAtom = fromIntegral fromAtom = fromIntegral -------------------------------------------------------------------------------- {- TODO Support 32-bit archetectures. -} wordBitWidth# :: Word# -> Word# wordBitWidth# w = minusWord# 64## (clz# w) bigNatBitWidth# :: BigNat -> Word# bigNatBitWidth# nat = lswBits `plusWord#` ((int2Word# lastIdx) `timesWord#` 64##) where (# lastIdx, _ #) = subIntC# (sizeofBigNat# nat) 1# lswBits = wordBitWidth# (indexBigNat# nat lastIdx) atomBitWidth# :: Atom -> Word# atomBitWidth# (MkAtom (NatS# gl)) = wordBitWidth# gl atomBitWidth# (MkAtom (NatJ# bn)) = bigNatBitWidth# bn bitWidth :: Num a => Atom -> a bitWidth a = fromIntegral (W# (atomBitWidth# a)) -------------------------------------------------------------------------------- cursor :: Atom -> Atom -> Cursor cursor offset buf = Cursor (fromIntegral offset) buf fromCursor :: Cursor -> Atom fromCursor (Cursor off buf) = shiftR buf off bumpCursor :: Word -> Cursor -> Cursor bumpCursor off = over cOffset (+ fromIntegral off) instance IsAtom Cursor where toAtom (Cursor off bits) = shiftR bits off fromAtom = Cursor 0 -------------------------------------------------------------------------------- slice :: (Atom, Atom) -> Atom -> Atom slice (offset, size) buf = fromSlice (Slice (fromAtom offset) (fromAtom size) buf) fromSlice :: Slice -> Atom fromSlice (Slice off wid buf) = mask .&. (shiftR buf off) where mask = shiftL (MkAtom 1) wid - 1 -------------------------------------------------------------------------------- takeBits :: Int -> Atom -> Atom takeBits wid buf = mask .&. buf where mask = shiftL (MkAtom 1) wid - 1 bitIdx :: Int -> Atom -> Bool bitIdx idx buf = testBit buf idx bitConcat :: Atom -> Atom -> Atom bitConcat x y = x .|. shiftL y (bitWidth x) -- Bit Buffers ----------------------------------------------------------------- data Buf = Buf !Int !Atom instance Show Buf where show (Buf sz bits) = "0b" <> replicate (sz - bitWidth bits) '0' <> printf "%b (%d bits)" (toInteger bits) sz instance Semigroup Buf where Buf xSz xBuf <> Buf ySz yBuf = Buf (xSz+ySz) (xBuf .|. shiftL yBuf xSz) instance Monoid Buf where mempty = Buf 0 0 instance IsAtom Buf where toAtom (Buf _ bits) = bits fromAtom bits = Buf (bitWidth bits) bits