package sha512
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import (
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"github.com/consensys/gnark/frontend"
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)
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func _right_rotate(n [64]frontend.Variable, bits int) [64]frontend.Variable {
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var result [64]frontend.Variable
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for i := 0; i < len(n); i++ {
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result[(i+bits)%len(n)] = n[i]
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}
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return result
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}
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// def _right_rotate(n: int, bits: int) -> int:
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// return (n >> bits) | (n << (64 - bits)) & 0xFFFFFFFFFFFFFFFF
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func PySha512(api frontend.API, in [] frontend.Variable) ([512] frontend.Variable) {
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_not := func(x [64]frontend.Variable) [64]frontend.Variable {
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return not(api, x)
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}
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_and := func(xs ...[64]frontend.Variable) [64]frontend.Variable {
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return and(api, xs...)
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}
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_add := func(xs ...[64]frontend.Variable) [64]frontend.Variable {
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return add(api, xs...)
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}
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_xor := func(xs ...[64]frontend.Variable) [64]frontend.Variable {
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return xor(api, xs...)
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}
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zip_add := func(a, b Array8_64) Array8_64 {
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a0, a1, a2, a3, a4, a5, a6, a7 := unpack8(a)
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b0, b1, b2, b3, b4, b5, b6, b7 := unpack8(b)
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return Array8_64{
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_add(a0, b0),
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_add(a1, b1),
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_add(a2, b2),
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_add(a3, b3),
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_add(a4, b4),
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_add(a5, b5),
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_add(a6, b6),
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_add(a7, b7),
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}
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}
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initial_hash := []uint64{
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0x6a09e667f3bcc908,
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0xbb67ae8584caa73b,
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0x3c6ef372fe94f82b,
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0xa54ff53a5f1d36f1,
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0x510e527fade682d1,
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0x9b05688c2b3e6c1f,
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0x1f83d9abfb41bd6b,
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0x5be0cd19137e2179,
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}
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round_constants := []uint64{
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0x428a2f98d728ae22, 0x7137449123ef65cd, 0xb5c0fbcfec4d3b2f,
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0xe9b5dba58189dbbc, 0x3956c25bf348b538, 0x59f111f1b605d019,
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0x923f82a4af194f9b, 0xab1c5ed5da6d8118, 0xd807aa98a3030242,
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0x12835b0145706fbe, 0x243185be4ee4b28c, 0x550c7dc3d5ffb4e2,
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0x72be5d74f27b896f, 0x80deb1fe3b1696b1, 0x9bdc06a725c71235,
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0xc19bf174cf692694, 0xe49b69c19ef14ad2, 0xefbe4786384f25e3,
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0x0fc19dc68b8cd5b5, 0x240ca1cc77ac9c65, 0x2de92c6f592b0275,
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0x4a7484aa6ea6e483, 0x5cb0a9dcbd41fbd4, 0x76f988da831153b5,
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0x983e5152ee66dfab, 0xa831c66d2db43210, 0xb00327c898fb213f,
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0xbf597fc7beef0ee4, 0xc6e00bf33da88fc2, 0xd5a79147930aa725,
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0x06ca6351e003826f, 0x142929670a0e6e70, 0x27b70a8546d22ffc,
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0x2e1b21385c26c926, 0x4d2c6dfc5ac42aed, 0x53380d139d95b3df,
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0x650a73548baf63de, 0x766a0abb3c77b2a8, 0x81c2c92e47edaee6,
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0x92722c851482353b, 0xa2bfe8a14cf10364, 0xa81a664bbc423001,
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0xc24b8b70d0f89791, 0xc76c51a30654be30, 0xd192e819d6ef5218,
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0xd69906245565a910, 0xf40e35855771202a, 0x106aa07032bbd1b8,
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0x19a4c116b8d2d0c8, 0x1e376c085141ab53, 0x2748774cdf8eeb99,
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0x34b0bcb5e19b48a8, 0x391c0cb3c5c95a63, 0x4ed8aa4ae3418acb,
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0x5b9cca4f7763e373, 0x682e6ff3d6b2b8a3, 0x748f82ee5defb2fc,
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0x78a5636f43172f60, 0x84c87814a1f0ab72, 0x8cc702081a6439ec,
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0x90befffa23631e28, 0xa4506cebde82bde9, 0xbef9a3f7b2c67915,
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0xc67178f2e372532b, 0xca273eceea26619c, 0xd186b8c721c0c207,
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0xeada7dd6cde0eb1e, 0xf57d4f7fee6ed178, 0x06f067aa72176fba,
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0x0a637dc5a2c898a6, 0x113f9804bef90dae, 0x1b710b35131c471b,
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0x28db77f523047d84, 0x32caab7b40c72493, 0x3c9ebe0a15c9bebc,
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0x431d67c49c100d4c, 0x4cc5d4becb3e42b6, 0x597f299cfc657e2a,
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0x5fcb6fab3ad6faec, 0x6c44198c4a475817,
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}
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for _, v := range in {
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api.AssertIsBoolean(v)
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}
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mdi := divChecked(len(in), 8) % 128
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// mdi = len(message_array) % 128
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var padding_len int
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if mdi < 112 {
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padding_len = 119 - mdi
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} else {
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padding_len = 247 - mdi
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}
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// padding_len = 119 - mdi if mdi < 112 else 247 - mdi
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message_length_bits := uint64ToBits(uint64(len(in)))
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// ending = struct.pack('!Q', len(message_array) << 3)
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in = append(in, 1)
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for i := 0; i < 7; i++ {
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in = append(in, 0)
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}
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// message_array.append(0x80)
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for i := 0; i < padding_len * 8; i++ {
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in = append(in, 0)
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}
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// message_array.extend([0] * padding_len)
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for i := 0; i < 64; i++ {
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in = append(in, message_length_bits[i])
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}
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// message_array.extend(bytearray(ending))
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sha512_hash := Array8_64{
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uint64ToBits(initial_hash[0]),
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uint64ToBits(initial_hash[1]),
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uint64ToBits(initial_hash[2]),
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uint64ToBits(initial_hash[3]),
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uint64ToBits(initial_hash[4]),
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uint64ToBits(initial_hash[5]),
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uint64ToBits(initial_hash[6]),
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uint64ToBits(initial_hash[7]),
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}
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// sha512_hash = list(initial_hash)
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for chunk_start := 0; chunk_start < divChecked(len(in), 8); chunk_start += 128 {
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// for chunk_start in range(0, len(message_array), 128):
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chunk := in[chunk_start * 8 : (chunk_start+128) * 8]
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// chunk = message_array[chunk_start:chunk_start + 128]
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if len(chunk) != 1024 { panic("bad length") }
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u := make([]frontend.Variable, 80 * 64)
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for i, _ := range u {
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u[i] = 0
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}
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// w = [0] * 80
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copy(u, chunk)
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// w[0:16] = struct.unpack('!16Q', chunk)
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w := reshape(u)
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for i := 16; i < 80; i++ {
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// for i in range(16, 80):
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s0 := _xor(
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_right_rotate(w[i - 15], 1),
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_right_rotate(w[i - 15], 8),
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_shr(w[i - 15], 7),
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)
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// s0 = (
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// _right_rotate(w[i - 15], 1) ^
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// _right_rotate(w[i - 15], 8) ^
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// (w[i - 15] >> 7)
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// )
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s1 := _xor(
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_right_rotate(w[i - 2], 19),
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_right_rotate(w[i - 2], 61),
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_shr(w[i - 2], 6),
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)
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// s1 = (
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// _right_rotate(w[i - 2], 19) ^
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// _right_rotate(w[i - 2], 61) ^
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// (w[i - 2] >> 6)
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// )
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w[i] = _add(w[i - 16], s0, w[i - 7], s1)
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// w[i] = (w[i - 16] + s0 + w[i - 7] + s1) & 0xFFFFFFFFFFFFFFFF
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}
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a, b, c, d, e, f, g, h := unpack8(sha512_hash)
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// a, b, c, d, e, f, g, h = sha512_hash
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for i := 0; i < 80; i++ {
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// for i in range(80):
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sum1 := _xor(
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_right_rotate(e, 14),
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_right_rotate(e, 18),
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_right_rotate(e, 41),
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)
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// sum1 = (
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// _right_rotate(e, 14) ^
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// _right_rotate(e, 18) ^
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// _right_rotate(e, 41)
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// )
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ch := _xor(_and(e, f), _and(_not(e), g))
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// ch = (e & f) ^ (~e & g)
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temp1 := _add(h, sum1, ch, uint64ToBits(round_constants[i]), w[i])
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// temp1 = h + sum1 + ch + round_constants[i] + w[i]
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sum0 := _xor(
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_right_rotate(a, 28),
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_right_rotate(a, 34),
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_right_rotate(a, 39),
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)
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// sum0 = (
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// _right_rotate(a, 28) ^
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// _right_rotate(a, 34) ^
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// _right_rotate(a, 39)
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// )
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maj := _xor(_and(a, b), _and(a, c), _and(b, c))
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// maj = (a & b) ^ (a & c) ^ (b & c)
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temp2 := _add(sum0, maj)
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// temp2 = sum0 + maj
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h = g
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g = f
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f = e
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e = _add(d, temp1)
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d = c
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c = b
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b = a
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a = _add(temp1, temp2)
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// h = g
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// g = f
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// f = e
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// e = (d + temp1) & 0xFFFFFFFFFFFFFFFF
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// d = c
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// c = b
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// b = a
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// a = (temp1 + temp2) & 0xFFFFFFFFFFFFFFFF
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// sha512_hash = [
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// (x + y) & 0xFFFFFFFFFFFFFFFF
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// for x, y in zip(sha512_hash, (a, b, c, d, e, f, g, h))
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// ]
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}
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sha512_hash = zip_add(sha512_hash, Array8_64{a, b, c, d, e, f, g, h})
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}
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return flatten8(sha512_hash)
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// return binascii.hexlify(
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// b''.join(struct.pack('!Q', element) for element in sha512_hash),
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// ).decode('utf-8')
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}
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// if __name__ == "__main__":
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// assert sha512('Hello, world!') == (
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// 'c1527cd893c124773d811911970c8fe6e857d6df5dc9226bd8a160614c0cd963a4dde'
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// 'a2b94bb7d36021ef9d865d5cea294a82dd49a0bb269f51f6e7a57f79421'
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// )
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// assert sha512('Python') == (
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// 'fd9d4d5b7a8a8fae6b1bc099b799110f7e4338606e2610f5d9506a4346e0c3bfbc525'
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// 'f4eed1e05aa8c6f46b8efff526ec48b500928a1b341ade5a7855f533932'
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// )
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// assert sha512('Illia') == (
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// '09d4ba2426df452bddacde12436ef528c19e91236dfab2e7e2d45a0c2b450c7744397'
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// '67d8c23ed5be08cd50a7aa74b4c7ffda135a2f9ac18b186893a6b052710'
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// )
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func reshape(u []frontend.Variable) [][64]frontend.Variable {
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l := divChecked(len(u), 64)
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result := make([][64]frontend.Variable, l)
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for i := 0; i < l; i++ {
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var arr [64]frontend.Variable
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for k := 0; k < 64; k++ {
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arr[k] = u[i*64+k]
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}
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result[i] = arr
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}
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return result
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}
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type Array8_64 [8][64]frontend.Variable
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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) {
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return x[0], x[1], x[2], x[3], x[4], x[5], x[6], x[7]
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}
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func flatten8(x Array8_64) [512]frontend.Variable {
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var result [512]frontend.Variable
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k := 0
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for i := 0; i < 8; i++ {
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for j := 0; j < 64; j++ {
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result[k] = x[i][j]
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k++
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}
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}
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return result
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}
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func uint64ToBits(value uint64) [64]frontend.Variable {
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var result [64]frontend.Variable
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for k := 0; k < 64; k++ {
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if (value & (1 << (63-k))) != 0 {
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result[k] = 1
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} else {
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result[k] = 0
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}
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}
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return result
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}
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func xor(api frontend.API, args ...[64]frontend.Variable) [64]frontend.Variable {
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if len(args) == 1 {
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return args[0]
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} else {
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return xor2(api, args[0], xor(api, args[1:]...))
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}
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}
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func add(api frontend.API, args ...[64]frontend.Variable) [64]frontend.Variable {
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if len(args) == 1 {
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return args[0]
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} else {
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return add2(api, args[0], add(api, args[1:]...))
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}
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}
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func and(api frontend.API, args ...[64]frontend.Variable) [64]frontend.Variable {
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if len(args) == 1 {
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return args[0]
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} else {
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return and2(api, args[0], and(api, args[1:]...))
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}
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}
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func xor2(api frontend.API, a, b [64]frontend.Variable) [64]frontend.Variable {
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var result [64]frontend.Variable
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for i := 0; i < 64; i++ {
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result[i] = api.Xor(a[i], b[i])
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}
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return result
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}
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func and2(api frontend.API, a, b [64]frontend.Variable) [64]frontend.Variable {
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var result [64]frontend.Variable
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for i := 0; i < 64; i++ {
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result[i] = api.And(a[i], b[i])
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}
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return result
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}
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func add2(api frontend.API, a, b [64]frontend.Variable) [64]frontend.Variable {
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var result [64]frontend.Variable
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var carry frontend.Variable = 0
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for i := 63; i >= 0; i-- {
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sum := api.Add(a[i], b[i], carry)
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sumBin := api.ToBinary(sum, 2)
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if len(sumBin) != 2 {
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panic("bad length")
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}
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result[i] = sumBin[0]
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carry = sumBin[1]
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}
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return result
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}
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func _shr(n [64]frontend.Variable, bits int) [64]frontend.Variable {
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var result [64]frontend.Variable
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for i := 0; i < 64; i++ {
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if i < bits {
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result[i] = 0
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} else {
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result[i] = n[i - bits]
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}
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}
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return result
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}
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func not(api frontend.API, n [64]frontend.Variable) [64]frontend.Variable {
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var result [64]frontend.Variable
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for i := 0; i < 64; i++ {
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result[i] = api.Sub(1, n[i])
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}
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return result
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}
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func divChecked(a, b int) int {
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if a % b != 0 {
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panic("divChecked: does not divide evenly")
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}
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return a / b
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}
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