package sha512 import ( "github.com/consensys/gnark/frontend" ) func _right_rotate(n [64]frontend.Variable, bits int) [64]frontend.Variable { var result [64]frontend.Variable for i := 0; i < len(n); i++ { result[(i+bits)%len(n)] = n[i] } return result } // def _right_rotate(n: int, bits: int) -> int: // return (n >> bits) | (n << (64 - bits)) & 0xFFFFFFFFFFFFFFFF func PySha512(api frontend.API, in [] frontend.Variable) ([512] frontend.Variable) { _not := func(x [64]frontend.Variable) [64]frontend.Variable { return not(api, x) } _and := func(xs ...[64]frontend.Variable) [64]frontend.Variable { return and(api, xs...) } _add := func(xs ...[64]frontend.Variable) [64]frontend.Variable { return add(api, xs...) } _xor := func(xs ...[64]frontend.Variable) [64]frontend.Variable { return xor(api, xs...) } zip_add := func(a, b Array8_64) Array8_64 { a0, a1, a2, a3, a4, a5, a6, a7 := unpack8(a) b0, b1, b2, b3, b4, b5, b6, b7 := unpack8(b) return Array8_64{ _add(a0, b0), _add(a1, b1), _add(a2, b2), _add(a3, b3), _add(a4, b4), _add(a5, b5), _add(a6, b6), _add(a7, b7), } } initial_hash := []uint64{ 0x6a09e667f3bcc908, 0xbb67ae8584caa73b, 0x3c6ef372fe94f82b, 0xa54ff53a5f1d36f1, 0x510e527fade682d1, 0x9b05688c2b3e6c1f, 0x1f83d9abfb41bd6b, 0x5be0cd19137e2179, } round_constants := []uint64{ 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, } for _, v := range in { api.AssertIsBoolean(v) } mdi := divChecked(len(in), 8) % 128 // mdi = len(message_array) % 128 var padding_len int if mdi < 112 { padding_len = 119 - mdi } else { padding_len = 247 - mdi } // padding_len = 119 - mdi if mdi < 112 else 247 - mdi message_length_bits := uint64ToBits(uint64(len(in))) // ending = struct.pack('!Q', len(message_array) << 3) in = append(in, 1) for i := 0; i < 7; i++ { in = append(in, 0) } // message_array.append(0x80) for i := 0; i < padding_len * 8; i++ { in = append(in, 0) } // message_array.extend([0] * padding_len) for i := 0; i < 64; i++ { in = append(in, message_length_bits[i]) } // message_array.extend(bytearray(ending)) sha512_hash := Array8_64{ uint64ToBits(initial_hash[0]), uint64ToBits(initial_hash[1]), uint64ToBits(initial_hash[2]), uint64ToBits(initial_hash[3]), uint64ToBits(initial_hash[4]), uint64ToBits(initial_hash[5]), uint64ToBits(initial_hash[6]), uint64ToBits(initial_hash[7]), } // sha512_hash = list(initial_hash) for chunk_start := 0; chunk_start < divChecked(len(in), 8); chunk_start += 128 { // for chunk_start in range(0, len(message_array), 128): chunk := in[chunk_start * 8 : (chunk_start+128) * 8] // chunk = message_array[chunk_start:chunk_start + 128] if len(chunk) != 1024 { panic("bad length") } u := make([]frontend.Variable, 80 * 64) for i, _ := range u { u[i] = 0 } // w = [0] * 80 copy(u, chunk) // w[0:16] = struct.unpack('!16Q', chunk) w := reshape(u) for i := 16; i < 80; i++ { // for i in range(16, 80): s0 := _xor( _right_rotate(w[i - 15], 1), _right_rotate(w[i - 15], 8), _shr(w[i - 15], 7), ) // s0 = ( // _right_rotate(w[i - 15], 1) ^ // _right_rotate(w[i - 15], 8) ^ // (w[i - 15] >> 7) // ) s1 := _xor( _right_rotate(w[i - 2], 19), _right_rotate(w[i - 2], 61), _shr(w[i - 2], 6), ) // s1 = ( // _right_rotate(w[i - 2], 19) ^ // _right_rotate(w[i - 2], 61) ^ // (w[i - 2] >> 6) // ) w[i] = _add(w[i - 16], s0, w[i - 7], s1) // w[i] = (w[i - 16] + s0 + w[i - 7] + s1) & 0xFFFFFFFFFFFFFFFF } a, b, c, d, e, f, g, h := unpack8(sha512_hash) // a, b, c, d, e, f, g, h = sha512_hash for i := 0; i < 80; i++ { // for i in range(80): sum1 := _xor( _right_rotate(e, 14), _right_rotate(e, 18), _right_rotate(e, 41), ) // sum1 = ( // _right_rotate(e, 14) ^ // _right_rotate(e, 18) ^ // _right_rotate(e, 41) // ) ch := _xor(_and(e, f), _and(_not(e), g)) // ch = (e & f) ^ (~e & g) temp1 := _add(h, sum1, ch, uint64ToBits(round_constants[i]), w[i]) // temp1 = h + sum1 + ch + round_constants[i] + w[i] sum0 := _xor( _right_rotate(a, 28), _right_rotate(a, 34), _right_rotate(a, 39), ) // sum0 = ( // _right_rotate(a, 28) ^ // _right_rotate(a, 34) ^ // _right_rotate(a, 39) // ) maj := _xor(_and(a, b), _and(a, c), _and(b, c)) // maj = (a & b) ^ (a & c) ^ (b & c) temp2 := _add(sum0, maj) // temp2 = sum0 + maj h = g g = f f = e e = _add(d, temp1) d = c c = b b = a a = _add(temp1, temp2) // h = g // g = f // f = e // e = (d + temp1) & 0xFFFFFFFFFFFFFFFF // d = c // c = b // b = a // a = (temp1 + temp2) & 0xFFFFFFFFFFFFFFFF // sha512_hash = [ // (x + y) & 0xFFFFFFFFFFFFFFFF // for x, y in zip(sha512_hash, (a, b, c, d, e, f, g, h)) // ] } sha512_hash = zip_add(sha512_hash, Array8_64{a, b, c, d, e, f, g, h}) } return flatten8(sha512_hash) // return binascii.hexlify( // b''.join(struct.pack('!Q', element) for element in sha512_hash), // ).decode('utf-8') } // if __name__ == "__main__": // assert sha512('Hello, world!') == ( // 'c1527cd893c124773d811911970c8fe6e857d6df5dc9226bd8a160614c0cd963a4dde' // 'a2b94bb7d36021ef9d865d5cea294a82dd49a0bb269f51f6e7a57f79421' // ) // assert sha512('Python') == ( // 'fd9d4d5b7a8a8fae6b1bc099b799110f7e4338606e2610f5d9506a4346e0c3bfbc525' // 'f4eed1e05aa8c6f46b8efff526ec48b500928a1b341ade5a7855f533932' // ) // assert sha512('Illia') == ( // '09d4ba2426df452bddacde12436ef528c19e91236dfab2e7e2d45a0c2b450c7744397' // '67d8c23ed5be08cd50a7aa74b4c7ffda135a2f9ac18b186893a6b052710' // ) func reshape(u []frontend.Variable) [][64]frontend.Variable { l := divChecked(len(u), 64) result := make([][64]frontend.Variable, l) for i := 0; i < l; i++ { var arr [64]frontend.Variable for k := 0; k < 64; k++ { arr[k] = u[i*64+k] } result[i] = arr } return result } type Array8_64 [8][64]frontend.Variable func unpack8(x Array8_64) ([64]frontend.Variable, [64]frontend.Variable, [64]frontend.Variable, [64]frontend.Variable, [64]frontend.Variable, [64]frontend.Variable, [64]frontend.Variable, [64]frontend.Variable) { return x[0], x[1], x[2], x[3], x[4], x[5], x[6], x[7] } func flatten8(x Array8_64) [512]frontend.Variable { var result [512]frontend.Variable k := 0 for i := 0; i < 8; i++ { for j := 0; j < 64; j++ { result[k] = x[i][j] k++ } } return result } func uint64ToBits(value uint64) [64]frontend.Variable { var result [64]frontend.Variable for k := 0; k < 64; k++ { if (value & (1 << (63-k))) != 0 { result[k] = 1 } else { result[k] = 0 } } return result } func xor(api frontend.API, args ...[64]frontend.Variable) [64]frontend.Variable { if len(args) == 1 { return args[0] } else { return xor2(api, args[0], xor(api, args[1:]...)) } } func add(api frontend.API, args ...[64]frontend.Variable) [64]frontend.Variable { if len(args) == 1 { return args[0] } else { return add2(api, args[0], add(api, args[1:]...)) } } func and(api frontend.API, args ...[64]frontend.Variable) [64]frontend.Variable { if len(args) == 1 { return args[0] } else { return and2(api, args[0], and(api, args[1:]...)) } } func xor2(api frontend.API, a, b [64]frontend.Variable) [64]frontend.Variable { var result [64]frontend.Variable for i := 0; i < 64; i++ { result[i] = api.Xor(a[i], b[i]) } return result } func and2(api frontend.API, a, b [64]frontend.Variable) [64]frontend.Variable { var result [64]frontend.Variable for i := 0; i < 64; i++ { result[i] = api.And(a[i], b[i]) } return result } func add2(api frontend.API, a, b [64]frontend.Variable) [64]frontend.Variable { var result [64]frontend.Variable var carry frontend.Variable = 0 for i := 63; i >= 0; i-- { sum := api.Add(a[i], b[i], carry) sumBin := api.ToBinary(sum, 2) if len(sumBin) != 2 { panic("bad length") } result[i] = sumBin[0] carry = sumBin[1] } return result } func _shr(n [64]frontend.Variable, bits int) [64]frontend.Variable { var result [64]frontend.Variable for i := 0; i < 64; i++ { if i < bits { result[i] = 0 } else { result[i] = n[i - bits] } } return result } func not(api frontend.API, n [64]frontend.Variable) [64]frontend.Variable { var result [64]frontend.Variable for i := 0; i < 64; i++ { result[i] = api.Sub(1, n[i]) } return result } func divChecked(a, b int) int { if a % b != 0 { panic("divChecked: does not divide evenly") } return a / b }