module Data.Digest.Pure.SHA
( Digest
, sha1
, sha224
, sha256
, sha384
, sha512
, showDigest
, integerDigest
, bytestringDigest
#ifdef SHA_TEST
, toBigEndianBS, fromBigEndianBS
, find_k
, sha_1_256_pad, sha_384_512_pad
#endif
)
where
import Data.Bits
import Data.ByteString.Lazy(ByteString)
import qualified Data.ByteString.Lazy as BS
import Data.Char
import Data.Int
import Data.Word
newtype Digest = Digest ByteString deriving (Eq,Ord)
data State32 = S32 !Word32 !Word32 !Word32 !Word32
!Word32 !Word32 !Word32 !Word32
sha1 :: ByteString -> Digest
sha1 bs = Digest $ compute_sha1_hash sha1_initial_state chunked_bs
where
padded_bs = sha_1_256_pad bs
chunked_bs = chunk 512 padded_bs
compute_sha1_hash :: State32 -> [ByteString] -> ByteString
compute_sha1_hash (S32 a b c d e _ _ _) [] =
BS.concat $ map (toBigEndianBS 32) [a,b,c,d,e]
compute_sha1_hash ins@(S32 a b c d e _ _ _) (first:rest) =
compute_sha1_hash next rest
where
x = foldl tiny_step1 ins (zip3 (message_schedule_1 first) sha1_ks [0..79])
S32 a' b' c' d' e' _ _ _ = x
next = S32 (a+a') (b+b') (c+c') (d+d') (e+e') 0 0 0
message_schedule_1 :: ByteString -> [Word32]
message_schedule_1 bs = genSched (reverse $ map fromBigEndianBS $ chunk 32 bs)
where
genSched curs | length curs == 80 = reverse curs
| otherwise =
let w_3 = curs !! 2
w_8 = curs !! 7
w_14 = curs !! 13
w_16 = curs !! 15
base = w_3 `xor` w_8 `xor` w_14 `xor` w_16
in genSched (rotate base 1 : curs)
tiny_step1 :: State32 -> (Word32, Word32, Word32) -> State32
tiny_step1 (S32 a b c d e _ _ _) (w, k, t) = S32 a' b' c' d' e' 0 0 0
where
a' = (rotate a 5) + (sha1_f t b c d) + e + k + w
e' = d
d' = c
c' = rotate b 30
b' = a
sha1_f :: Word32 -> Word32 -> Word32 -> Word32 -> Word32
sha1_f t x y z
| t <= 19 = (x .&. y) `xor` ((complement x) .&. z)
| (t >= 20) && (t <= 39) = x `xor` y `xor` z
| (t >= 40) && (t <= 59) = (x .&. y) `xor` (x .&. z) `xor` (y .&. z)
| (t >= 60) && (t <= 79) = x `xor` y `xor` z
| otherwise = error $ "Illegal SHA-1 f function number "++show t
sha1_initial_state :: State32
sha1_initial_state =
S32 0x67452301 0xefcdab89 0x98badcfe 0x10325476 0xc3d2e1f0 0 0 0
sha1_ks :: [Word32]
sha1_ks = map gen_k [0 .. 79]
where
gen_k :: Int -> Word32
gen_k x | x <= 19 = 0x5a827999
| (x >= 20) && (x <= 39) = 0x6ed9eba1
| (x >= 40) && (x <= 59) = 0x8f1bbcdc
| otherwise = 0xca62c1d6
sha224 :: ByteString -> Digest
sha224 bs = Digest $ BS.take 28
$ compute_sha256_hash sha224_initial_state chunked_bs
where
padded_bs = sha_1_256_pad bs
chunked_bs = chunk 512 padded_bs
sha224_initial_state :: State32
sha224_initial_state = S32 0xc1059ed8 0x367cd507 0x3070dd17 0xf70e5939
0xffc00b31 0x68581511 0x64f98fa7 0xbefa4fa4
sha256 :: ByteString -> Digest
sha256 bs = Digest $ compute_sha256_hash sha256_initial_state chunked_bs
where
padded_bs = sha_1_256_pad bs
chunked_bs = chunk 512 padded_bs
compute_sha256_hash :: State32 -> [ByteString] -> ByteString
compute_sha256_hash (S32 a b c d e f g h) [] =
BS.concat $ map (toBigEndianBS 32) [a,b,c,d,e,f,g,h]
compute_sha256_hash ins@(S32 a b c d e f g h) (first:rest) =
compute_sha256_hash next rest
where
x = foldl tiny_step256 ins (zip (message_schedule_256 first) sha256_ks)
S32 a' b' c' d' e' f' g' h' = x
next = S32 (a+a') (b+b') (c+c') (d+d') (e+e') (f+f') (g+g') (h+h')
message_schedule_256 :: ByteString -> [Word32]
message_schedule_256 bs = genSched (reverse $ map fromBigEndianBS $ chunk 32 bs)
where
genSched curs | length curs == 64 = reverse curs
| otherwise =
let sw2 = small_sigma_256_1 $ curs !! 1
w7 = curs !! 6
sw15 = small_sigma_256_0 $ curs !! 14
w16 = curs !! 15
new_guy = sw2 + w7 + sw15 + w16
in genSched (new_guy : curs)
tiny_step256 :: State32 -> (Word32, Word32) -> State32
tiny_step256 (S32 a b c d e f g h) (w, k) = S32 a' b' c' d' e' f' g' h'
where
a' = t1 + t2
b' = a
c' = b
d' = c
e' = d + t1
f' = e
g' = f
h' = g
t1 = h + (big_sigma_256_1 e) + (ch256 e f g) + k + w
t2 = big_sigma_256_0 a + maj256 a b c
ch256 :: Word32 -> Word32 -> Word32 -> Word32
ch256 x y z = (x .&. y) `xor` ((complement x) .&. z)
maj256 :: Word32 -> Word32 -> Word32 -> Word32
maj256 x y z = (x .&. y) `xor` (x .&. z) `xor` (y .&. z)
big_sigma_256_0 :: Word32 -> Word32
big_sigma_256_0 x =
(x `rotate` (2)) `xor` (x `rotate` (13)) `xor` (x `rotate` (22))
big_sigma_256_1 :: Word32 -> Word32
big_sigma_256_1 x =
(x `rotate` (6)) `xor` (x `rotate` (11)) `xor` (x `rotate` (25))
small_sigma_256_0 :: Word32 -> Word32
small_sigma_256_0 x =
(x `rotate` (7)) `xor` (x `rotate` (18)) `xor` (x `shiftR` 3)
small_sigma_256_1 :: Word32 -> Word32
small_sigma_256_1 x =
(x `rotate` (17)) `xor` (x `rotate` (19)) `xor` (x `shiftR` 10)
sha256_initial_state :: State32
sha256_initial_state =
S32 0x6a09e667 0xbb67ae85 0x3c6ef372 0xa54ff53a
0x510e527f 0x9b05688c 0x1f83d9ab 0x5be0cd19
sha256_ks :: [Word32]
sha256_ks =
[0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, 0x3956c25b, 0x59f111f1,
0x923f82a4, 0xab1c5ed5, 0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3,
0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174, 0xe49b69c1, 0xefbe4786,
0x0fc19dc6, 0x240ca1cc, 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da,
0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, 0xc6e00bf3, 0xd5a79147,
0x06ca6351, 0x14292967, 0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13,
0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85, 0xa2bfe8a1, 0xa81a664b,
0xc24b8b70, 0xc76c51a3, 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070,
0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, 0x391c0cb3, 0x4ed8aa4a,
0x5b9cca4f, 0x682e6ff3, 0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208,
0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2]
data State64 = S64 Word64 Word64 Word64 Word64 Word64 Word64 Word64 Word64
instance Show State64 where
show (S64 a b c d e f g h) =
"S64 " ++ concatMap ((++ " ") . showDigestBS . toBigEndianBS 64) [a,b,c,d,e,f,g,h]
sha384 :: ByteString -> Digest
sha384 bs = Digest $ BS.take 48
$ compute_sha512_hash sha384_initial_state chunked_bs
where
padded_bs = sha_384_512_pad bs
chunked_bs = chunk 1024 padded_bs
sha384_initial_state :: State64
sha384_initial_state =
S64 0xcbbb9d5dc1059ed8 0x629a292a367cd507 0x9159015a3070dd17
0x152fecd8f70e5939 0x67332667ffc00b31 0x8eb44a8768581511
0xdb0c2e0d64f98fa7 0x47b5481dbefa4fa4
sha512 :: ByteString -> Digest
sha512 bs = Digest $ compute_sha512_hash sha512_initial_state chunked_bs
where
padded_bs = sha_384_512_pad bs
chunked_bs = chunk 1024 padded_bs
compute_sha512_hash :: State64 -> [ByteString] -> ByteString
compute_sha512_hash (S64 a b c d e f g h) [] =
BS.concat $ map (toBigEndianBS 64) [a,b,c,d,e,f,g,h]
compute_sha512_hash ins@(S64 a b c d e f g h) (first:rest) =
compute_sha512_hash next rest
where
x = foldl tiny_step512 ins (zip (message_schedule_512 first) sha512_ks)
S64 a' b' c' d' e' f' g' h' = x
next = S64 (a+a') (b+b') (c+c') (d+d') (e+e') (f+f') (g+g') (h+h')
message_schedule_512 :: ByteString -> [Word64]
message_schedule_512 bs = genSched (reverse $ map fromBigEndianBS $ chunk 64 bs)
where
genSched curs | length curs == 80 = reverse curs
| otherwise =
let sw2 = small_sigma_512_1 $ curs !! 1
w7 = curs !! 6
sw15 = small_sigma_512_0 $ curs !! 14
w16 = curs !! 15
new_guy = sw2 + w7 + sw15 + w16
in genSched (new_guy : curs)
tiny_step512 :: State64 -> (Word64, Word64) -> State64
tiny_step512 (S64 a b c d e f g h) (k, w) = S64 a' b' c' d' e' f' g' h'
where
a' = t1 + t2
b' = a
c' = b
d' = c
e' = d + t1
f' = e
g' = f
h' = g
t1 = h + (big_sigma_512_1 e) + (ch512 e f g) + k + w
t2 = (big_sigma_512_0 a) + (maj512 a b c)
ch512 :: Word64 -> Word64 -> Word64 -> Word64
ch512 x y z = (x .&. y) `xor` ((complement x) .&. z)
maj512 :: Word64 -> Word64 -> Word64 -> Word64
maj512 x y z = (x .&. y) `xor` (x .&. z) `xor` (y .&. z)
big_sigma_512_0 :: Word64 -> Word64
big_sigma_512_0 x =
(x `rotate` (28)) `xor` (x `rotate` (34)) `xor` (x `rotate` (39))
big_sigma_512_1 :: Word64 -> Word64
big_sigma_512_1 x =
(x `rotate` (14)) `xor` (x `rotate` (18)) `xor` (x `rotate` (41))
small_sigma_512_0 :: Word64 -> Word64
small_sigma_512_0 x =
(x `rotate` (1)) `xor` (x `rotate` (8)) `xor` (x `shiftR` 7)
small_sigma_512_1 :: Word64 -> Word64
small_sigma_512_1 x =
(x `rotate` (19)) `xor` (x `rotate` (61)) `xor` (x `shiftR` 6)
sha512_initial_state :: State64
sha512_initial_state =
S64 0x6a09e667f3bcc908 0xbb67ae8584caa73b 0x3c6ef372fe94f82b
0xa54ff53a5f1d36f1 0x510e527fade682d1 0x9b05688c2b3e6c1f
0x1f83d9abfb41bd6b 0x5be0cd19137e2179
sha512_ks :: [Word64]
sha512_ks = [
0x428a2f98d728ae22, 0x7137449123ef65cd, 0xb5c0fbcfec4d3b2f, 0xe9b5dba58189dbbc,
0x3956c25bf348b538, 0x59f111f1b605d019, 0x923f82a4af194f9b, 0xab1c5ed5da6d8118,
0xd807aa98a3030242, 0x12835b0145706fbe, 0x243185be4ee4b28c, 0x550c7dc3d5ffb4e2,
0x72be5d74f27b896f, 0x80deb1fe3b1696b1, 0x9bdc06a725c71235, 0xc19bf174cf692694,
0xe49b69c19ef14ad2, 0xefbe4786384f25e3, 0x0fc19dc68b8cd5b5, 0x240ca1cc77ac9c65,
0x2de92c6f592b0275, 0x4a7484aa6ea6e483, 0x5cb0a9dcbd41fbd4, 0x76f988da831153b5,
0x983e5152ee66dfab, 0xa831c66d2db43210, 0xb00327c898fb213f, 0xbf597fc7beef0ee4,
0xc6e00bf33da88fc2, 0xd5a79147930aa725, 0x06ca6351e003826f, 0x142929670a0e6e70,
0x27b70a8546d22ffc, 0x2e1b21385c26c926, 0x4d2c6dfc5ac42aed, 0x53380d139d95b3df,
0x650a73548baf63de, 0x766a0abb3c77b2a8, 0x81c2c92e47edaee6, 0x92722c851482353b,
0xa2bfe8a14cf10364, 0xa81a664bbc423001, 0xc24b8b70d0f89791, 0xc76c51a30654be30,
0xd192e819d6ef5218, 0xd69906245565a910, 0xf40e35855771202a, 0x106aa07032bbd1b8,
0x19a4c116b8d2d0c8, 0x1e376c085141ab53, 0x2748774cdf8eeb99, 0x34b0bcb5e19b48a8,
0x391c0cb3c5c95a63, 0x4ed8aa4ae3418acb, 0x5b9cca4f7763e373, 0x682e6ff3d6b2b8a3,
0x748f82ee5defb2fc, 0x78a5636f43172f60, 0x84c87814a1f0ab72, 0x8cc702081a6439ec,
0x90befffa23631e28, 0xa4506cebde82bde9, 0xbef9a3f7b2c67915, 0xc67178f2e372532b,
0xca273eceea26619c, 0xd186b8c721c0c207, 0xeada7dd6cde0eb1e, 0xf57d4f7fee6ed178,
0x06f067aa72176fba, 0x0a637dc5a2c898a6, 0x113f9804bef90dae, 0x1b710b35131c471b,
0x28db77f523047d84, 0x32caab7b40c72493, 0x3c9ebe0a15c9bebc, 0x431d67c49c100d4c,
0x4cc5d4becb3e42b6, 0x597f299cfc657e2a, 0x5fcb6fab3ad6faec, 0x6c44198c4a475817
]
showDigest :: Digest -> String
showDigest (Digest bs) = showDigestBS bs
showDigestBS :: ByteString -> String
showDigestBS bs = concatMap paddedShowHex $ BS.unpack bs
where
paddedShowHex x = toHex (x `shiftR` 4) ++ toHex (x .&. 0xf)
toHex x = ["0","1","2","3","4","5","6","7","8","9","a","b","c","d","e","f"]
!! (fromIntegral x)
integerDigest :: Digest -> Integer
integerDigest (Digest bs) = BS.foldl' addShift 0 bs
where addShift n y = (n `shiftL` 8) .|. fromIntegral y
bytestringDigest :: Digest -> ByteString
bytestringDigest (Digest bs) = bs
sha_1_256_pad :: ByteString -> ByteString
sha_1_256_pad = generic_pad 448 512 64
sha_384_512_pad :: ByteString -> ByteString
sha_384_512_pad = generic_pad 896 1024 128
generic_pad :: Word64 -> Word64 -> Int -> ByteString -> ByteString
generic_pad a b lSize bs = BS.concat [bs, pad_bytes, pad_length]
where
l = fromIntegral $ BS.length bs * 8
k = find_k a b l
k_bytes = (k + 1) `div` 8
pad_bytes = BS.pack $ [0x80] ++ (take (fromIntegral $ k_bytes 1) [0,0 ..])
pad_length = toBigEndianBS lSize l
find_k :: Word64 -> Word64 -> Word64 -> Word64
find_k a b l = try_k 7
where
try_k k | (l + 1 + k) `mod` b == a = k
| otherwise = try_k (k + 8)
chunk :: Int64 -> ByteString -> [ByteString]
chunk sizeBits bs
| BS.length bs == 0 = []
| sizeBits `mod` 8 /= 0 = error "Invalid sizeBits to chunk"
| BS.length bs `mod` byteSize /= 0 = error "Non-aligned ByteString to chunk"
| otherwise = let (first,rest) = BS.splitAt byteSize bs
in first:(chunk sizeBits rest)
where byteSize = sizeBits `div` 8
toBigEndianBS :: (Integral a, Bits a) => Int -> a -> ByteString
toBigEndianBS s val = BS.pack $ map getBits [s 8, s 16 .. 0]
where
getBits x = fromIntegral $ (val `shiftR` x) .&. 0xFF
fromBigEndianBS :: (Integral a, Bits a) => ByteString -> a
fromBigEndianBS bs =
BS.foldl (\ acc x -> (acc `shiftL` 8) + (fromIntegral x)) 0 bs