module Data.Hash.Base where import Data.Array import Foreign (Storable, with, sizeOf, castPtr, Ptr, peek, plusPtr) import System.IO.Unsafe (unsafePerformIO) import Data.Word import Data.Bits #ifdef __GLASGOW_HASKELL__ import GHC.Arr ( unsafeAt ) {-# INLINE myArrayRead #-} myArrayRead :: Array Word8 Word64 -> Word8 -> Word64 myArrayRead a i = unsafeAt a (fromIntegral i) #else {-# INLINE myArrayRead #-} myArrayRead :: Array Word8 Word64 -> Word8 -> Word64 myArrayRead = (!) #endif -- | A 64-bit hash newtype Hash = Hash{asWord64 :: Word64} deriving (Eq, Ord, Bounded, Show) -- | @h1 \`combine\` h2@ combines hashes @h1@ and @h2@ into a new hash. -- -- It is used to generate hash functions for complex types. For example: -- -- @ -- hashPair :: (Hashable a, Hashable b) => (a,b) -> Hash -- hashPair (a,b) = hash a \`combine\` hash b -- @ {-# INLINE combine #-} combine :: Hash -> Hash -> Hash combine (Hash a) (Hash b) = Hash $ (rotate a 1) `xor` b {-# INLINE hashWord8 #-} hashWord8 :: Word8 -> Hash hashWord8 = Hash . myArrayRead hashArrW8 {-# INLINE hashWord16 #-} hashWord16 :: Word16 -> Hash hashWord16 w = hashWord8 lo `combine` hashWord8 hi where lo = fromIntegral w hi = fromIntegral (rotateR w 8) {-# INLINE hashWord32 #-} hashWord32 :: Word32 -> Hash hashWord32 w = hashWord16 lo `combine` hashWord16 hi where lo = fromIntegral w hi = fromIntegral (rotateR w 16) {-# INLINE hashWord64 #-} hashWord64 :: Word64 -> Hash hashWord64 w = hashWord32 lo `combine` hashWord32 hi where lo = fromIntegral w hi = fromIntegral (rotateR w 16) {-# INLINE hashInt #-} hashInt :: Int -> Hash hashInt = if bitSize (undefined :: Int) <= 32 then hashWord32 . fromIntegral else hashWord64 . fromIntegral -- | Observe that, unlike the other functions in this module, -- @hashStorable@ is machine-dependent (the computed hash depends -- on endianness, etc.). hashStorable :: Storable a => a -> Hash hashStorable a = unsafePerformIO (with a $ go (sizeOf a) h0 . castPtr) where go :: Int -> Hash -> Ptr Word8 -> IO Hash go 0 h _ = return h go n h p = do b <- peek p go (n-1) (h `combine` hashWord8 b) (plusPtr p 1) -- This array must satisfy the property that, if seen as a matrix of -- 256 x 64 bits, then on each of the 64 columns one must have 128 ones -- and 128 zeros. -- This particular selection of values was taken from -- http://www.serve.net/buz/hash.adt/java.008.html hashArrW8 :: Array Word8 Word64 hashArrW8 = listArray (0,255) [ {- 000 -} 0x4476081a7043a46f, 0x45768b8a6e7eac19, 0xebd556c1cf055952, {- -} 0x72ed2da1bf010101, 0x3ff2030b128e8a64, {- 005 -} 0xcbc330238adcfef2, 0x737807fe42e20c6c, 0x74dabaedb1095c58, {- -} 0x968f065c65361d67, 0xd3f4018ac7a4b199, {- 010 -} 0x954b389b52f24df2, 0x2f97a9d8d0549327, 0xb9bea2b49a3b180f, {- -} 0xaf2f42536b21f2eb, 0x85d991663cff1325, {- 015 -} 0xb9e1260207b575b9, 0xf3ea88398a23b7e2, 0xfaf8c83ffbd9091d, {- -} 0x4274fe90834dbdf9, 0x3f20b157b68d6313, {- 020 -} 0x68b48972b6d06b93, 0x694837b6eba548af, 0xeecb51d1acc917c9, {- -} 0xf1c633f02dffbcfa, 0xa6549ec9d301f3b5, {- 025 -} 0x451dc944f1663592, 0x446d6acef6ce9e4f, 0x1c8a5b3013206f02, {- -} 0x5908ca36f2dc50f7, 0x4fd55d3f3e880a87, {- 030 -} 0xa03a8dbeabbf065d, 0x3ccbbe078fabcb6d, 0x1da53a259116f2d0, {- -} 0xfb27a96fcb9af152, 0x50aba242e85aec09, {- 035 -} 0x24d4e414fc4fc987, 0x83971844a9ce535e, 0xc26a3fdeb849398e, {- -} 0xc2380d044d2e70d8, 0xab418aa8ae19b18f, {- 040 -} 0xd95b6b9247d5ebea, 0x8b3b2171fdc60511, 0xe15cd0ae3fcc44af, {- -} 0x5a4e27f914a68f17, 0x377bd28ca09aafdc, {- 045 -} 0xbbeb9828594a3294, 0x7c8df263ae1de1b9, 0xba0a48a5fd1c1dd0, {- -} 0x57cc1b8818b98ee6, 0x8c570975d357dabc, {- 050 -} 0x76bdcd6f2e8826aa, 0x529b15b6ec4055f1, 0x9147c7a54c34f8a9, {- -} 0x2f96a7728170e402, 0xe46602f455eca72e, {- 055 -} 0x22834c4dd1bde03f, 0x2644cf5a25e368ff, 0x907c6de90b120f4a, {- -} 0xadfe8ba99028f728, 0xa85199ae14df0433, {- 060 -} 0x2d749b946dd3601e, 0x76e35457aa052772, 0x90410bf6e427f736, {- -} 0x536ad04d13e35041, 0x8cc0d76769b76914, {- 065 -} 0xae0249f6e3b3c01c, 0x1bdfd075307d6faf, 0xd8e04f70c221decc, {- -} 0x4ab23622a4281a5d, 0x37a5613da2fcaba7, {- 070 -} 0x19a56203666d4a9f, 0x158ffab502c4be93, 0x0bee714e332ecb2f, {- -} 0x69b71a59f6f74ab0, 0x0fc7fc622f1dfe8f, {- 075 -} 0x513966de7152a6f9, 0xc16fae9cc2ea9be7, 0xb66f0ac586c1899e, {- -} 0x11e124aee3bdefd7, 0x86cf5a577512901b, {- 080 -} 0x33f33ba6994a1fbd, 0xde6c4d1d3d47ff0d, 0x6a99220dc6f78e66, {- -} 0x2dc06ca93e2d25d2, 0x96413b520134d573, {- 085 -} 0xb4715ce8e1023afa, 0xe6a75900c8c66c0a, 0x6448f13ad54c12ed, {- -} 0xb9057c28cf6689f0, 0xf4023daf67f7677a, {- 090 -} 0x877c2650767b9867, 0xb7ea587dcd5b2341, 0xc048cf111733f9bc, {- -} 0x112012c15bc867bf, 0xc95f52b1d9418811, {- 095 -} 0xa47e624ee7499083, 0x26928606df9b12e8, 0x5d020462ec3e0928, {- -} 0x8bbde651f6d08914, 0xd5db83db758e524a, {- 100 -} 0x3105e355c000f455, 0xdd7fe1b81a786c79, 0x1f3a818c8e012db1, {- -} 0xd902de819d7b42fa, 0x4200e63325cda5f0, {- 105 -} 0x0e919cdc5fba9220, 0x5360dd54605a11e1, 0xa3182d0e6cb23e6c, {- -} 0x13ee462c1b483b87, 0x1b1b6087b997ee22, {- 110 -} 0x81c36d0b877f7362, 0xc24879932c1768d4, 0x1faa756e1673f9ad, {- -} 0x61651b24d11fe93d, 0x30fe3d9304e1cde4, {- 115 -} 0x7be867c750747250, 0x973e52c7005b5db6, 0x75d6b699bbaf4817, {- -} 0x25d2a9e97379e196, 0xe65fb599aca98701, {- 120 -} 0x6ac27960d24bde84, 0xdfacc04c9fabbcb6, 0xa46cd07f4a97882b, {- -} 0x652031d8e59a1fd8, 0x1185bd967ec7ce10, {- 125 -} 0xfc9bd84c6780f244, 0x0a0c59872f61b3ff, 0x63885727a1c71c95, {- -} 0x5e88b4390b2d765c, 0xf0005ccaf988514d, {- 130 -} 0x474e44280a98e840, 0x32de151c1411bc42, 0x2c4b86d5aa4482c2, {- -} 0xccd93deb2d9d47da, 0x3743236ff128a622, {- 135 -} 0x42ed2f2635ba5647, 0x99c74afd18962dbd, 0x2d663bb870f6d242, {- -} 0x7912033bc7635d81, 0xb442862f43753680, {- 140 -} 0x94b1a5400aeaab4c, 0x5ce285fe810f2220, 0xe8a7dbe565d9c0b1, {- -} 0x219131af78356c94, 0x7b3a80d130f27e2f, {- 145 -} 0xbaa5d2859d16b440, 0x821cfb6935771070, 0xf68cfb6ee9bc2336, {- -} 0x18244132e935d2fd, 0x2ed0bda1f4720cff, {- 150 -} 0x4ed48cdf6975173c, 0xfd37a7a2520e2405, 0x82c102b2a9e73ce2, {- -} 0xadac6517062623a7, 0x5a1294d318e26104, {- 155 -} 0xea84fe65c0e4f061, 0x4f96f8a9464cfee9, 0x9831dff8ccdc534a, {- -} 0x4ca927cd0f192a14, 0x030900b294b71649, {- 160 -} 0x644b263b9aeb0675, 0xa601d4e34647e040, 0x34d897eb397f1004, {- -} 0xa6101c37f4ec8dfc, 0xc29d2a8bbfd0006b, {- 165 -} 0xc6b07df8c5b4ed0f, 0xce1b7d92ba6bccbe, 0xfa2f99442e03fe1b, {- -} 0xd8863e4c16f0b363, 0x033b2cccc3392942, {- 170 -} 0x757dc33522d6cf9c, 0xf07b1ff6ce55fec5, 0x1569e75f09b40463, {- -} 0xfa33fa08f14a310b, 0x6eb79aa27bbcf76b, {- 175 -} 0x157061207c249602, 0x25e5a71fc4e99555, 0x5df1fe93de625355, {- -} 0x235b56090c1aa55d, 0xe51068613eaced91, {- 180 -} 0x45bd47b893b9ff1e, 0x6595e1798d381f2d, 0xc9b5848cbcdb5ba8, {- -} 0x65985146ff7792bc, 0x4ab4a17bf05a19a0, {- 185 -} 0xfd94f4ca560ffb0c, 0xcf9bad581a68fa68, 0x92b4f0b502b1ce1a, {- -} 0xbcbec0769a610474, 0x8dbd31ded1a0fecb, {- 190 -} 0xdd1f5ed9f90e8533, 0x61c1e6a523f84d95, 0xf24475f383c110c4, {- -} 0xdb2dffa66f90588d, 0xac06d88e9ee04455, {- 195 -} 0xa215fc47c40504ba, 0x86d7caebfee93369, 0x9eaec31985804099, {- -} 0x0fba2214abe5d01b, 0x5a32975a4b3865d6, {- 200 -} 0x8cceebc98a5c108f, 0x7e12c4589654f2dc, 0xa49ad49fb0d19772, {- -} 0x3d142dd9c406152b, 0x9f13589e7be2b8a5, {- 205 -} 0x5e8dbac1892967ad, 0xcc23b93a6308e597, 0x1ef35f5fe874e16a, {- -} 0x63ae9cc08d2e274f, 0x5bbabee56007fc05, {- 210 -} 0xabfd72994230fc39, 0x9d71a13a99144de1, 0xd9daf5aa8dcc89b3, {- -} 0xe145ec0514161bfd, 0x143befc2498cd270, {- 215 -} 0xa8e192557dbbd9f8, 0xcbeda2445628d7d0, 0x997f0a93205d9ea4, {- -} 0x01014a97f214ebfa, 0x70c026ffd1ebedaf, {- 220 -} 0xf8737b1b3237002f, 0x8afcbef3147e6e5e, 0x0e1bb0684483ebd3, {- -} 0x4cbad70ae9b05aa6, 0xd4a31f523517c363, {- 225 -} 0xdb0f057ae8e9e8a2, 0x400894a919d89df6, 0x6a626a9b62defab3, {- -} 0xf907fd7e14f4e201, 0xe10e4a5657c48f3f, {- 230 -} 0xb17f9f54b8e6e5dc, 0x6b9e69045fa6d27a, 0x8b74b6a41dc3078e, {- -} 0x027954d45ca367f9, 0xd07207b8fdcbb7cc, {- 235 -} 0xf397c47d2f36414b, 0x05e4e8b11d3a034f, 0x36adb3f7122d654f, {- -} 0x607d9540eb336078, 0xb639118e3a8b9600, {- 240 -} 0xd0a406770b5f1484, 0x3cbee8213ccfb7c6, 0x467967bb2ff89cf1, {- -} 0xb115fe29609919a6, 0xba740e6ffa83287e, {- 245 -} 0xb4e51be9b694b7cd, 0xc9a081c677df5aea, 0x2e1fbcd8944508cc, {- -} 0xf626e7895581fbb8, 0x3ce6e9b5728a05cb, {- 250 -} 0x46e87f2664a31712, 0x8c1dc526c2f6acfa, 0x7b4826726e560b10, {- -} 0x2966e0099d8d7ce1, 0xbb0dd5240d2b2ade, 0x0d527cc60bbaa936 ] h0, hT, hF :: Hash h0 = Hash 0xe12398c6d9ae3b8a hT = Hash 0x851dcaa2656c6af4 hF = Hash 0x1af84a6b589285f7