{-# LANGUAGE TypeApplications #-}

module ZkFold.Symbolic.Algorithms.Hash.SHA2.Constants
    ( sha256InitialHashes
    , sha224InitialHashes
    , word32RoundConstants
    , sha512InitialHashes
    , sha384InitialHashes
    , sha512_224InitialHashes
    , sha512_256InitialHashes
    , word64RoundConstants
    ) where

import qualified Data.Vector                     as V
import           GHC.TypeNats                    (Natural)
import           Prelude                         (($), (<$>))

import           ZkFold.Base.Algebra.Basic.Class (FromConstant (..))

-- | SHA2 family algorithms differ in constants and parameters used in the mostly identical internal loop.
-- This module stores initial hashes and round constants.
-- They were taken from the official SHA2 description:
-- https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.180-4.pdf, pages 11 to 17

sha256InitialHashes :: FromConstant Natural a => V.Vector a
sha256InitialHashes :: forall a. FromConstant Natural a => Vector a
sha256InitialHashes = [a] -> Vector a
forall a. [a] -> Vector a
V.fromList ([a] -> Vector a) -> [a] -> Vector a
forall a b. (a -> b) -> a -> b
$ forall a b. FromConstant a b => a -> b
fromConstant @Natural (Natural -> a) -> [Natural] -> [a]
forall (f :: Type -> Type) a b. Functor f => (a -> b) -> f a -> f b
<$>
    [Natural
0x6a09e667, Natural
0xbb67ae85, Natural
0x3c6ef372, Natural
0xa54ff53a, Natural
0x510e527f, Natural
0x9b05688c, Natural
0x1f83d9ab, Natural
0x5be0cd19]

sha224InitialHashes :: FromConstant Natural a => V.Vector a
sha224InitialHashes :: forall a. FromConstant Natural a => Vector a
sha224InitialHashes = [a] -> Vector a
forall a. [a] -> Vector a
V.fromList ([a] -> Vector a) -> [a] -> Vector a
forall a b. (a -> b) -> a -> b
$ forall a b. FromConstant a b => a -> b
fromConstant @Natural (Natural -> a) -> [Natural] -> [a]
forall (f :: Type -> Type) a b. Functor f => (a -> b) -> f a -> f b
<$>
    [Natural
0xc1059ed8, Natural
0x367cd507, Natural
0x3070dd17, Natural
0xf70e5939, Natural
0xffc00b31, Natural
0x68581511, Natural
0x64f98fa7, Natural
0xbefa4fa4]

word32RoundConstants :: FromConstant Natural a => V.Vector a
word32RoundConstants :: forall a. FromConstant Natural a => Vector a
word32RoundConstants = [a] -> Vector a
forall a. [a] -> Vector a
V.fromList ([a] -> Vector a) -> [a] -> Vector a
forall a b. (a -> b) -> a -> b
$ forall a b. FromConstant a b => a -> b
fromConstant @Natural (Natural -> a) -> [Natural] -> [a]
forall (f :: Type -> Type) a b. Functor f => (a -> b) -> f a -> f b
<$>
    [
        Natural
0x428a2f98, Natural
0x71374491, Natural
0xb5c0fbcf, Natural
0xe9b5dba5, Natural
0x3956c25b, Natural
0x59f111f1, Natural
0x923f82a4, Natural
0xab1c5ed5,
        Natural
0xd807aa98, Natural
0x12835b01, Natural
0x243185be, Natural
0x550c7dc3, Natural
0x72be5d74, Natural
0x80deb1fe, Natural
0x9bdc06a7, Natural
0xc19bf174,
        Natural
0xe49b69c1, Natural
0xefbe4786, Natural
0x0fc19dc6, Natural
0x240ca1cc, Natural
0x2de92c6f, Natural
0x4a7484aa, Natural
0x5cb0a9dc, Natural
0x76f988da,
        Natural
0x983e5152, Natural
0xa831c66d, Natural
0xb00327c8, Natural
0xbf597fc7, Natural
0xc6e00bf3, Natural
0xd5a79147, Natural
0x06ca6351, Natural
0x14292967,
        Natural
0x27b70a85, Natural
0x2e1b2138, Natural
0x4d2c6dfc, Natural
0x53380d13, Natural
0x650a7354, Natural
0x766a0abb, Natural
0x81c2c92e, Natural
0x92722c85,
        Natural
0xa2bfe8a1, Natural
0xa81a664b, Natural
0xc24b8b70, Natural
0xc76c51a3, Natural
0xd192e819, Natural
0xd6990624, Natural
0xf40e3585, Natural
0x106aa070,
        Natural
0x19a4c116, Natural
0x1e376c08, Natural
0x2748774c, Natural
0x34b0bcb5, Natural
0x391c0cb3, Natural
0x4ed8aa4a, Natural
0x5b9cca4f, Natural
0x682e6ff3,
        Natural
0x748f82ee, Natural
0x78a5636f, Natural
0x84c87814, Natural
0x8cc70208, Natural
0x90befffa, Natural
0xa4506ceb, Natural
0xbef9a3f7, Natural
0xc67178f2
    ]

sha512InitialHashes :: FromConstant Natural a => V.Vector a
sha512InitialHashes :: forall a. FromConstant Natural a => Vector a
sha512InitialHashes = [a] -> Vector a
forall a. [a] -> Vector a
V.fromList ([a] -> Vector a) -> [a] -> Vector a
forall a b. (a -> b) -> a -> b
$ forall a b. FromConstant a b => a -> b
fromConstant @Natural (Natural -> a) -> [Natural] -> [a]
forall (f :: Type -> Type) a b. Functor f => (a -> b) -> f a -> f b
<$>
    [ Natural
0x6a09e667f3bcc908, Natural
0xbb67ae8584caa73b, Natural
0x3c6ef372fe94f82b, Natural
0xa54ff53a5f1d36f1,
      Natural
0x510e527fade682d1, Natural
0x9b05688c2b3e6c1f, Natural
0x1f83d9abfb41bd6b, Natural
0x5be0cd19137e2179 ]

sha384InitialHashes :: FromConstant Natural a => V.Vector a
sha384InitialHashes :: forall a. FromConstant Natural a => Vector a
sha384InitialHashes = [a] -> Vector a
forall a. [a] -> Vector a
V.fromList ([a] -> Vector a) -> [a] -> Vector a
forall a b. (a -> b) -> a -> b
$ forall a b. FromConstant a b => a -> b
fromConstant @Natural (Natural -> a) -> [Natural] -> [a]
forall (f :: Type -> Type) a b. Functor f => (a -> b) -> f a -> f b
<$>
  [ Natural
0xcbbb9d5dc1059ed8, Natural
0x629a292a367cd507, Natural
0x9159015a3070dd17, Natural
0x152fecd8f70e5939,
    Natural
0x67332667ffc00b31, Natural
0x8eb44a8768581511, Natural
0xdb0c2e0d64f98fa7, Natural
0x47b5481dbefa4fa4 ]

sha512_256InitialHashes :: FromConstant Natural a => V.Vector a
sha512_256InitialHashes :: forall a. FromConstant Natural a => Vector a
sha512_256InitialHashes = [a] -> Vector a
forall a. [a] -> Vector a
V.fromList ([a] -> Vector a) -> [a] -> Vector a
forall a b. (a -> b) -> a -> b
$ forall a b. FromConstant a b => a -> b
fromConstant @Natural (Natural -> a) -> [Natural] -> [a]
forall (f :: Type -> Type) a b. Functor f => (a -> b) -> f a -> f b
<$>
  [ Natural
0x22312194fc2bf72c, Natural
0x9f555fa3c84c64c2, Natural
0x2393b86b6f53b151, Natural
0x963877195940eabd
  , Natural
0x96283ee2a88effe3, Natural
0xbe5e1e2553863992, Natural
0x2b0199fc2c85b8aa, Natural
0x0eb72ddc81c52ca2 ]

sha512_224InitialHashes :: FromConstant Natural a => V.Vector a
sha512_224InitialHashes :: forall a. FromConstant Natural a => Vector a
sha512_224InitialHashes = [a] -> Vector a
forall a. [a] -> Vector a
V.fromList ([a] -> Vector a) -> [a] -> Vector a
forall a b. (a -> b) -> a -> b
$ forall a b. FromConstant a b => a -> b
fromConstant @Natural (Natural -> a) -> [Natural] -> [a]
forall (f :: Type -> Type) a b. Functor f => (a -> b) -> f a -> f b
<$>
  [ Natural
0x8c3d37c819544da2, Natural
0x73e1996689dcd4d6, Natural
0x1dfab7ae32ff9c82, Natural
0x679dd514582f9fcf
  , Natural
0x0f6d2b697bd44da8, Natural
0x77e36f7304c48942, Natural
0x3f9d85a86a1d36c8, Natural
0x1112e6ad91d692a1 ]

word64RoundConstants :: FromConstant Natural a => V.Vector a
word64RoundConstants :: forall a. FromConstant Natural a => Vector a
word64RoundConstants = [a] -> Vector a
forall a. [a] -> Vector a
V.fromList ([a] -> Vector a) -> [a] -> Vector a
forall a b. (a -> b) -> a -> b
$ forall a b. FromConstant a b => a -> b
fromConstant @Natural (Natural -> a) -> [Natural] -> [a]
forall (f :: Type -> Type) a b. Functor f => (a -> b) -> f a -> f b
<$>
    [
       Natural
0x428a2f98d728ae22, Natural
0x7137449123ef65cd, Natural
0xb5c0fbcfec4d3b2f, Natural
0xe9b5dba58189dbbc, Natural
0x3956c25bf348b538,
       Natural
0x59f111f1b605d019, Natural
0x923f82a4af194f9b, Natural
0xab1c5ed5da6d8118, Natural
0xd807aa98a3030242, Natural
0x12835b0145706fbe,
       Natural
0x243185be4ee4b28c, Natural
0x550c7dc3d5ffb4e2, Natural
0x72be5d74f27b896f, Natural
0x80deb1fe3b1696b1, Natural
0x9bdc06a725c71235,
       Natural
0xc19bf174cf692694, Natural
0xe49b69c19ef14ad2, Natural
0xefbe4786384f25e3, Natural
0x0fc19dc68b8cd5b5, Natural
0x240ca1cc77ac9c65,
       Natural
0x2de92c6f592b0275, Natural
0x4a7484aa6ea6e483, Natural
0x5cb0a9dcbd41fbd4, Natural
0x76f988da831153b5, Natural
0x983e5152ee66dfab,
       Natural
0xa831c66d2db43210, Natural
0xb00327c898fb213f, Natural
0xbf597fc7beef0ee4, Natural
0xc6e00bf33da88fc2, Natural
0xd5a79147930aa725,
       Natural
0x06ca6351e003826f, Natural
0x142929670a0e6e70, Natural
0x27b70a8546d22ffc, Natural
0x2e1b21385c26c926, Natural
0x4d2c6dfc5ac42aed,
       Natural
0x53380d139d95b3df, Natural
0x650a73548baf63de, Natural
0x766a0abb3c77b2a8, Natural
0x81c2c92e47edaee6, Natural
0x92722c851482353b,
       Natural
0xa2bfe8a14cf10364, Natural
0xa81a664bbc423001, Natural
0xc24b8b70d0f89791, Natural
0xc76c51a30654be30, Natural
0xd192e819d6ef5218,
       Natural
0xd69906245565a910, Natural
0xf40e35855771202a, Natural
0x106aa07032bbd1b8, Natural
0x19a4c116b8d2d0c8, Natural
0x1e376c085141ab53,
       Natural
0x2748774cdf8eeb99, Natural
0x34b0bcb5e19b48a8, Natural
0x391c0cb3c5c95a63, Natural
0x4ed8aa4ae3418acb, Natural
0x5b9cca4f7763e373,
       Natural
0x682e6ff3d6b2b8a3, Natural
0x748f82ee5defb2fc, Natural
0x78a5636f43172f60, Natural
0x84c87814a1f0ab72, Natural
0x8cc702081a6439ec,
       Natural
0x90befffa23631e28, Natural
0xa4506cebde82bde9, Natural
0xbef9a3f7b2c67915, Natural
0xc67178f2e372532b, Natural
0xca273eceea26619c,
       Natural
0xd186b8c721c0c207, Natural
0xeada7dd6cde0eb1e, Natural
0xf57d4f7fee6ed178, Natural
0x06f067aa72176fba, Natural
0x0a637dc5a2c898a6,
       Natural
0x113f9804bef90dae, Natural
0x1b710b35131c471b, Natural
0x28db77f523047d84, Natural
0x32caab7b40c72493, Natural
0x3c9ebe0a15c9bebc,
       Natural
0x431d67c49c100d4c, Natural
0x4cc5d4becb3e42b6, Natural
0x597f299cfc657e2a, Natural
0x5fcb6fab3ad6faec, Natural
0x6c44198c4a475817
    ]