WIP hash

.stylish-haskell.yaml

@@ -451,7 +451,7 @@ steps:
 # Set this to null to disable all line wrapping.
 #
 # Default: 80.
-columns: null
+columns: 120 # null
 
 # By default, line endings are converted according to the OS. You can override
 # preferred format here.

src/ZkFold/Base/Algebra/Basic/Field.hs

@@ -45,6 +45,9 @@ residue = (`mod` fromIntegral (value @p))
 toZp :: forall p . KnownNat p => Integer -> Zp p
 toZp = Zp . residue @p
 
+instance ToConstant (Zp p) Natural where
+    toConstant = fromZp
+
 instance KnownNat p => Finite (Zp p) where
     type Order (Zp p) = p
 

src/ZkFold/Symbolic/Algorithms/Hash.hs

@@ -0,0 +1,3 @@
+module ZkFold.Symbolic.Algorithms.Hash () where
+
+

src/ZkFold/Symbolic/Algorithms/Hash/MiMC.hs

@@ -0,0 +1 @@
+module ZkFold.Symbolic.Algorithms.Hash.MiMC () where

src/ZkFold/Symbolic/Algorithms/Hash/SHA2.hs

@@ -0,0 +1,195 @@
+{-# LANGUAGE AllowAmbiguousTypes  #-}
+{-# LANGUAGE TypeApplications     #-}
+{-# LANGUAGE TypeOperators        #-}
+{-# LANGUAGE UndecidableInstances #-}
+
+module ZkFold.Symbolic.Algorithms.Hash.SHA2 (sha2) where
+
+import           Control.Monad                                  (forM_)
+import qualified Data.STRef                                     as ST
+import qualified Data.Vector                                    as V
+import qualified Data.Vector.Mutable                            as VM
+import           GHC.TypeLits                                   (Symbol)
+import           GHC.TypeNats                                   (Div, Natural, type (*), type (+), type (-))
+import           Prelude                                        (Int, id, pure, undefined, zip, ($), (>>=))
+import qualified Prelude                                        as P
+
+import           ZkFold.Base.Algebra.Basic.Class
+import           ZkFold.Symbolic.Algorithms.Hash.SHA2.Constants (sha224InitialHashes, sha256InitialHashes,
+                                                                 sha384InitialHashes, sha512InitialHashes,
+                                                                 word32RoundConstants, word64RoundConstants)
+import           ZkFold.Symbolic.Data.Bool                      (BoolType (..))
+import           ZkFold.Symbolic.Data.ByteString                (Append (..), ByteString (..), ShiftBits (..),
+                                                                 ToWords (..), Truncate (..))
+
+class AlgorithmSetup (algorithm :: Symbol) a where
+    type WordSize algorithm :: Natural
+    type ChunkSize algorithm :: Natural
+    type ResultSize algorithm :: Natural
+    initialHashes :: V.Vector (ByteString (WordSize algorithm) a)
+    roundConstants :: V.Vector (ByteString (WordSize algorithm) a)
+    truncateResult :: ByteString (8 * WordSize algorithm) a -> ByteString (ResultSize algorithm) a
+    sigmaShifts :: (Natural, Natural, Natural, Natural, Natural, Natural)
+    sumShifts :: (Natural, Natural, Natural, Natural, Natural, Natural)
+
+instance (Finite a, FromConstant Natural a) => AlgorithmSetup "SHA256" a where
+    type WordSize "SHA256" = 32
+    type ChunkSize "SHA256" = 512
+    type ResultSize "SHA256" = 256
+    initialHashes = sha256InitialHashes
+    roundConstants = word32RoundConstants
+    truncateResult = id
+    sigmaShifts = (7, 18, 3, 17, 19, 10)
+    sumShifts = (2, 13, 22, 6, 11, 25)
+
+
+instance (Finite a, FromConstant Natural a, Truncate (ByteString 256 a) (ByteString 224 a)) => AlgorithmSetup "SHA224" a where
+    type WordSize "SHA224" = 32
+    type ChunkSize "SHA224" = 512
+    type ResultSize "SHA224" = 224
+    initialHashes = sha224InitialHashes
+    roundConstants = word32RoundConstants
+    truncateResult = truncate
+    sigmaShifts = (7, 18, 3, 17, 19, 10)
+    sumShifts = (2, 13, 22, 6, 11, 25)
+
+instance (Finite a, FromConstant Natural a) => AlgorithmSetup "SHA512" a where
+    type WordSize "SHA512" = 64
+    type ChunkSize "SHA512" = 1024
+    type ResultSize "SHA512" = 512
+    initialHashes = sha512InitialHashes
+    roundConstants = word64RoundConstants
+    truncateResult = id
+    sigmaShifts = (1, 8, 7, 19, 61, 6)
+    sumShifts = (28, 34, 39, 14, 18, 41)
+
+instance (Finite a, FromConstant Natural a, Truncate (ByteString 512 a) (ByteString 384 a)) => AlgorithmSetup "SHA384" a where
+    type WordSize "SHA384" = 64
+    type ChunkSize "SHA384" = 1024
+    type ResultSize "SHA384" = 384
+    initialHashes = sha384InitialHashes
+    roundConstants = word64RoundConstants
+    truncateResult = truncate
+    sigmaShifts = (1, 8, 7, 19, 61, 6)
+    sumShifts = (28, 34, 39, 14, 18, 41)
+
+instance (Finite a, FromConstant Natural a, Truncate (ByteString 512 a) (ByteString 224 a)) => AlgorithmSetup "SHA512/224" a where
+    type WordSize "SHA512/224" = 64
+    type ChunkSize "SHA512/224" = 1024
+    type ResultSize "SHA512/224" = 224
+    initialHashes = sha512InitialHashes
+    roundConstants = word64RoundConstants
+    truncateResult = truncate
+    sigmaShifts = (1, 8, 7, 19, 61, 6)
+    sumShifts = (28, 34, 39, 14, 18, 41)
+
+instance (Finite a, FromConstant Natural a, Truncate (ByteString 512 a) (ByteString 256 a)) => AlgorithmSetup "SHA512/256" a where
+    type WordSize "SHA512/256" = 64
+    type ChunkSize "SHA512/256" = 1024
+    type ResultSize "SHA512/256" = 256
+    initialHashes = sha512InitialHashes
+    roundConstants = word64RoundConstants
+    truncateResult = truncate
+    sigmaShifts = (1, 8, 7, 19, 61, 6)
+    sumShifts = (28, 34, 39, 14, 18, 41)
+
+sha2Pad :: forall (padTo :: Natural) (k :: Natural) a . ByteString k a -> ByteString (padTo * Div (padTo + k - 1) padTo) a
+sha2Pad = undefined
+
+sha2
+    :: forall algorithm element k
+    .  AlgorithmSetup algorithm element
+    => AdditiveSemigroup (ByteString (WordSize algorithm) element)
+    => BoolType (ByteString (WordSize algorithm) element)
+    => ShiftBits (ByteString (WordSize algorithm) element)
+    => ToWords (ByteString (ChunkSize algorithm) element) (ByteString (WordSize algorithm) element)
+    => Append (ByteString (WordSize algorithm) element) (ByteString (8 * WordSize algorithm) element)
+    => ToWords (ByteString (ChunkSize algorithm * Div ((ChunkSize algorithm + k) - 1) (ChunkSize algorithm)) element) (ByteString (ChunkSize algorithm) element)
+    => ByteString k element -> ByteString (ResultSize algorithm) element
+sha2 messageBits = truncateResult @algorithm @element $ append $ V.toList hashParts
+    where
+        paddedMessage = sha2Pad @(ChunkSize algorithm) messageBits
+
+        chunks :: [ByteString (ChunkSize algorithm) element]
+        chunks = toWords paddedMessage
+
+        rounds :: Int
+        rounds = V.length $ roundConstants @algorithm @element
+
+        hashParts :: V.Vector (ByteString (WordSize algorithm) element)
+        hashParts = V.create $ do
+            hn <- V.thaw $ initialHashes @algorithm @element
+
+            forM_ chunks $ \chunk -> do
+                let words = toWords @(ByteString (ChunkSize algorithm) element) @(ByteString (WordSize algorithm) element) chunk
+                messageSchedule <- VM.unsafeNew @_ @(ByteString (WordSize algorithm) element) rounds
+                forM_ (zip [0..] words) $ \(ix, w) -> VM.write messageSchedule ix w
+
+                forM_ [16 .. rounds P.- 1] $ \ix -> do
+                    w16 <- messageSchedule `VM.read` (ix P.- 16)
+                    w15 <- messageSchedule `VM.read` (ix P.- 15)
+                    w7  <- messageSchedule `VM.read` (ix P.- 7)
+                    w2  <- messageSchedule `VM.read` (ix P.- 2)
+                    let (sh0, sh1, sh2, sh3, sh4, sh5) = sigmaShifts @algorithm @element
+                        s0  = (w15 `rotateBitsR` sh0) `xor` (w15 `rotateBitsR` sh1) `xor` (w15 `shiftBitsR` sh2)
+                        s1  = (w2 `rotateBitsR` sh3) `xor` (w15 `rotateBitsR` sh4) `xor` (w15 `shiftBitsR` sh5)
+                    VM.write messageSchedule ix $ w16 + s0 + w7 + s1
+
+                aRef <- hn `VM.read` 0 >>= ST.newSTRef
+                bRef <- hn `VM.read` 1 >>= ST.newSTRef
+                cRef <- hn `VM.read` 2 >>= ST.newSTRef
+                dRef <- hn `VM.read` 3 >>= ST.newSTRef
+                eRef <- hn `VM.read` 4 >>= ST.newSTRef
+                fRef <- hn `VM.read` 5 >>= ST.newSTRef
+                gRef <- hn `VM.read` 6 >>= ST.newSTRef
+                hRef <- hn `VM.read` 7 >>= ST.newSTRef
+
+                forM_ [0 .. rounds P.- 1] $ \ix -> do
+                    a <- ST.readSTRef aRef
+                    b <- ST.readSTRef bRef
+                    c <- ST.readSTRef cRef
+                    d <- ST.readSTRef dRef
+                    e <- ST.readSTRef eRef
+                    f <- ST.readSTRef fRef
+                    g <- ST.readSTRef gRef
+                    h <- ST.readSTRef hRef
+
+                    let ki = roundConstants @algorithm V.! ix
+                    wi <- messageSchedule `VM.read` ix
+
+                    let (sh0, sh1, sh2, sh3, sh4, sh5) = sumShifts @algorithm @element
+                        s1 = (e `rotateBitsR` sh3) `xor` (e `rotateBitsR` sh4) `xor` (e `rotateBitsR` sh5)
+                        ch = (e && f) `xor` (not e && g)
+                        temp1 = h + s1 + ch + ki + wi
+                        s0 = (a `rotateBitsR` sh0) `xor` (a `rotateBitsR` sh1) `xor` (a `rotateBitsR` sh2)
+                        maj = (a && b) `xor` (a && c) `xor` (b && c)
+                        temp2 = s0 + maj
+
+                    ST.writeSTRef hRef g
+                    ST.writeSTRef gRef f
+                    ST.writeSTRef fRef e
+                    ST.writeSTRef eRef $ d + temp1
+                    ST.writeSTRef dRef c
+                    ST.writeSTRef cRef b
+                    ST.writeSTRef bRef a
+                    ST.writeSTRef aRef $ temp1 + temp2
+
+                a <- ST.readSTRef aRef
+                b <- ST.readSTRef bRef
+                c <- ST.readSTRef cRef
+                d <- ST.readSTRef dRef
+                e <- ST.readSTRef eRef
+                f <- ST.readSTRef fRef
+                g <- ST.readSTRef gRef
+                h <- ST.readSTRef hRef
+
+                VM.modify hn (+a) 0
+                VM.modify hn (+b) 1
+                VM.modify hn (+c) 2
+                VM.modify hn (+d) 3
+                VM.modify hn (+e) 4
+                VM.modify hn (+f) 5
+                VM.modify hn (+g) 6
+                VM.modify hn (+h) 7
+
+            pure hn

src/ZkFold/Symbolic/Algorithms/Hash/SHA2/Constants.hs

@@ -0,0 +1,69 @@
+{-# LANGUAGE TypeApplications #-}
+
+module ZkFold.Symbolic.Algorithms.Hash.SHA2.Constants
+    ( sha256InitialHashes
+    , sha224InitialHashes
+    , word32RoundConstants
+    , sha512InitialHashes
+    , sha384InitialHashes
+    , word64RoundConstants
+    ) where
+
+import qualified Data.Vector                     as V
+import           GHC.TypeNats                    (Natural)
+import           Prelude                         (($), (<$>))
+
+import           ZkFold.Base.Algebra.Basic.Class (FromConstant (..))
+
+sha256InitialHashes :: FromConstant Natural a => V.Vector a
+sha256InitialHashes = V.fromList $ fromConstant @Natural <$>
+    [0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a, 0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19]
+
+sha224InitialHashes :: FromConstant Natural a => V.Vector a
+sha224InitialHashes = V.fromList $ fromConstant @Natural <$>
+    [0xc1059ed8, 0x367cd507, 0x3070dd17, 0xf70e5939, 0xffc00b31, 0x68581511, 0x64f98fa7, 0xbefa4fa4]
+
+word32RoundConstants :: FromConstant Natural a => V.Vector a
+word32RoundConstants = V.fromList $ fromConstant @Natural <$>
+    [
+        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
+    ]
+
+sha512InitialHashes :: FromConstant Natural a => V.Vector a
+sha512InitialHashes = V.fromList $ fromConstant @Natural <$>
+    [ 0x6a09e667f3bcc908, 0xbb67ae8584caa73b, 0x3c6ef372fe94f82b, 0xa54ff53a5f1d36f1,
+      0x510e527fade682d1, 0x9b05688c2b3e6c1f, 0x1f83d9abfb41bd6b, 0x5be0cd19137e2179
+    ]
+
+sha384InitialHashes :: FromConstant Natural a => V.Vector a
+sha384InitialHashes = V.fromList $ fromConstant @Natural <$>
+  [ 0xcbbb9d5dc1059ed8, 0x629a292a367cd507, 0x9159015a3070dd17, 0x152fecd8f70e5939,
+    0x67332667ffc00b31, 0x8eb44a8768581511, 0xdb0c2e0d64f98fa7, 0x47b5481dbefa4fa4 ]
+
+word64RoundConstants :: FromConstant Natural a => V.Vector a
+word64RoundConstants = V.fromList $ fromConstant @Natural <$>
+    [
+       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
+    ]

src/ZkFold/Symbolic/Data/Bool.hs

@@ -22,6 +22,8 @@ class BoolType b where
 
     (||)  :: b -> b -> b
 
+    xor  :: b -> b -> b
+
 instance BoolType Haskell.Bool where
     true  = True
 
@@ -33,6 +35,8 @@ instance BoolType Haskell.Bool where
 
     (||)  = (Haskell.||)
 
+    xor = xor
+
 -- TODO (Issue #18): hide this constructor
 newtype Bool x = Bool x
     deriving (Eq)
@@ -50,6 +54,8 @@ instance Field x => BoolType (Bool x) where
 
     (||) (Bool b1) (Bool b2) = Bool $ b1 + b2 - b1 * b2
 
+    xor (Bool b1) (Bool b2) = Bool $ b1 + b2 - (b1 * b2 + b1 * b2)
+
 all :: (BoolType b, Foldable t) => (x -> b) -> t x -> b
 all f = foldr ((&&) . f) true