/
sha512.go
292 lines (273 loc) · 7.7 KB
/
sha512.go
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// The API for SHA256-2 according to https://gist.github.com/illia-v/7883be942da5d416521375004cecb68f.
package sha512
import (
"github.com/consensys/gnark/frontend"
)
func Sha512(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
var padding_len int
if mdi < 112 {
padding_len = 119 - mdi
} else {
padding_len = 247 - mdi
}
message_length_bits := uint64ToBits(uint64(len(in)))
in = append(in, 1)
for i := 0; i < 7; i++ {
in = append(in, 0)
}
for i := 0; i < padding_len*8; i++ {
in = append(in, 0)
}
for i := 0; i < 64; i++ {
in = append(in, message_length_bits[i])
}
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]),
}
for chunk_start := 0; chunk_start < divChecked(len(in), 8); chunk_start += 128 {
chunk := in[chunk_start*8 : (chunk_start+128)*8]
if len(chunk) != 1024 {
panic("bad length")
}
u := make([]frontend.Variable, 80*64)
for i, _ := range u {
u[i] = 0
}
copy(u, chunk)
w := reshape(u)
for i := 16; i < 80; i++ {
s0 := _xor(
_right_rotate(w[i-15], 1),
_right_rotate(w[i-15], 8),
_shr(w[i-15], 7),
)
s1 := _xor(
_right_rotate(w[i-2], 19),
_right_rotate(w[i-2], 61),
_shr(w[i-2], 6),
)
w[i] = _add(w[i-16], s0, w[i-7], s1)
}
a, b, c, d, e, f, g, h := unpack8(sha512_hash)
for i := 0; i < 80; i++ {
sum1 := _xor(
_right_rotate(e, 14),
_right_rotate(e, 18),
_right_rotate(e, 41),
)
ch := _xor(_and(e, f), _and(_not(e), g))
temp1 := _add(h, sum1, ch, uint64ToBits(round_constants[i]), w[i])
sum0 := _xor(
_right_rotate(a, 28),
_right_rotate(a, 34),
_right_rotate(a, 39),
)
maj := _xor(_and(a, b), _and(a, c), _and(b, c))
temp2 := _add(sum0, maj)
h = g
g = f
f = e
e = _add(d, temp1)
d = c
c = b
b = a
a = _add(temp1, temp2)
}
sha512_hash = zip_add(sha512_hash, Array8_64{a, b, c, d, e, f, g, h})
}
return flatten8(sha512_hash)
}
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
}
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
}