|
@ -1,8 +1,8 @@ |
|
|
|
|
|
// BabyJubJub elliptic curve implementation in Rust.
|
|
|
// For LICENSE check https://github.com/arnaucube/babyjubjub-rs
|
|
|
// For LICENSE check https://github.com/arnaucube/babyjubjub-rs
|
|
|
|
|
|
|
|
|
extern crate rand;
|
|
|
|
|
|
#[macro_use]
|
|
|
|
|
|
extern crate ff;
|
|
|
extern crate ff;
|
|
|
|
|
|
extern crate rand;
|
|
|
use ff::*;
|
|
|
use ff::*;
|
|
|
|
|
|
|
|
|
use poseidon_rs::Poseidon;
|
|
|
use poseidon_rs::Poseidon;
|
|
@ -16,14 +16,12 @@ extern crate num_bigint; |
|
|
extern crate num_traits;
|
|
|
extern crate num_traits;
|
|
|
|
|
|
|
|
|
extern crate rand6;
|
|
|
extern crate rand6;
|
|
|
use rand6::Rng;
|
|
|
|
|
|
|
|
|
|
|
|
// use blake2::{Blake2b, Digest};
|
|
|
// use blake2::{Blake2b, Digest};
|
|
|
|
|
|
|
|
|
#[cfg(feature = "default")]
|
|
|
#[cfg(feature = "default")]
|
|
|
extern crate blake_hash; // compatible version with Blake used at circomlib
|
|
|
extern crate blake_hash; // compatible version with Blake used at circomlib
|
|
|
#[cfg(feature = "default")]
|
|
|
#[cfg(feature = "default")]
|
|
|
#[macro_use]
|
|
|
|
|
|
use blake_hash::Digest;
|
|
|
use blake_hash::Digest;
|
|
|
|
|
|
|
|
|
#[cfg(feature = "aarch64")]
|
|
|
#[cfg(feature = "aarch64")]
|
|
@ -43,9 +41,9 @@ extern crate lazy_static; |
|
|
|
|
|
|
|
|
lazy_static! {
|
|
|
lazy_static! {
|
|
|
static ref D: Fr = Fr::from_str("168696").unwrap();
|
|
|
static ref D: Fr = Fr::from_str("168696").unwrap();
|
|
|
static ref D_big: BigInt = BigInt::parse_bytes(b"168696", 10).unwrap();
|
|
|
|
|
|
|
|
|
static ref D_BIG: BigInt = BigInt::parse_bytes(b"168696", 10).unwrap();
|
|
|
static ref A: Fr = Fr::from_str("168700").unwrap();
|
|
|
static ref A: Fr = Fr::from_str("168700").unwrap();
|
|
|
static ref A_big: BigInt = BigInt::parse_bytes(b"168700", 10).unwrap();
|
|
|
|
|
|
|
|
|
static ref A_BIG: BigInt = BigInt::parse_bytes(b"168700", 10).unwrap();
|
|
|
pub static ref Q: BigInt = BigInt::parse_bytes(
|
|
|
pub static ref Q: BigInt = BigInt::parse_bytes(
|
|
|
b"21888242871839275222246405745257275088548364400416034343698204186575808495617",10
|
|
|
b"21888242871839275222246405745257275088548364400416034343698204186575808495617",10
|
|
|
)
|
|
|
)
|
|
@ -72,7 +70,7 @@ lazy_static! { |
|
|
)
|
|
|
)
|
|
|
.unwrap()
|
|
|
.unwrap()
|
|
|
>> 3;
|
|
|
>> 3;
|
|
|
static ref poseidon: poseidon_rs::Poseidon = Poseidon::new();
|
|
|
|
|
|
|
|
|
static ref POSEIDON: poseidon_rs::Poseidon = Poseidon::new();
|
|
|
}
|
|
|
}
|
|
|
|
|
|
|
|
|
#[derive(Clone, Debug)]
|
|
|
#[derive(Clone, Debug)]
|
|
@ -97,11 +95,10 @@ impl PointProjective { |
|
|
let mut y = self.y;
|
|
|
let mut y = self.y;
|
|
|
y.mul_assign(&zinv);
|
|
|
y.mul_assign(&zinv);
|
|
|
|
|
|
|
|
|
Point {
|
|
|
|
|
|
x: x.clone(),
|
|
|
|
|
|
y: y.clone(),
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
Point { x, y }
|
|
|
}
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
#[allow(clippy::many_single_char_names)]
|
|
|
pub fn add(&self, q: &PointProjective) -> PointProjective {
|
|
|
pub fn add(&self, q: &PointProjective) -> PointProjective {
|
|
|
// add-2008-bbjlp https://hyperelliptic.org/EFD/g1p/auto-twisted-projective.html#doubling-dbl-2008-bbjlp
|
|
|
// add-2008-bbjlp https://hyperelliptic.org/EFD/g1p/auto-twisted-projective.html#doubling-dbl-2008-bbjlp
|
|
|
let mut a = self.z;
|
|
|
let mut a = self.z;
|
|
@ -112,7 +109,7 @@ impl PointProjective { |
|
|
c.mul_assign(&q.x);
|
|
|
c.mul_assign(&q.x);
|
|
|
let mut d = self.y;
|
|
|
let mut d = self.y;
|
|
|
d.mul_assign(&q.y);
|
|
|
d.mul_assign(&q.y);
|
|
|
let mut e = D.clone();
|
|
|
|
|
|
|
|
|
let mut e = *D;
|
|
|
e.mul_assign(&c);
|
|
|
e.mul_assign(&c);
|
|
|
e.mul_assign(&d);
|
|
|
e.mul_assign(&d);
|
|
|
let mut f = b;
|
|
|
let mut f = b;
|
|
@ -130,7 +127,7 @@ impl PointProjective { |
|
|
let mut x3 = a;
|
|
|
let mut x3 = a;
|
|
|
x3.mul_assign(&f);
|
|
|
x3.mul_assign(&f);
|
|
|
x3.mul_assign(&aux);
|
|
|
x3.mul_assign(&aux);
|
|
|
let mut ac = A.clone();
|
|
|
|
|
|
|
|
|
let mut ac = *A;
|
|
|
ac.mul_assign(&c);
|
|
|
ac.mul_assign(&c);
|
|
|
let mut dac = d;
|
|
|
let mut dac = d;
|
|
|
dac.sub_assign(&ac);
|
|
|
dac.sub_assign(&ac);
|
|
@ -141,9 +138,9 @@ impl PointProjective { |
|
|
z3.mul_assign(&g);
|
|
|
z3.mul_assign(&g);
|
|
|
|
|
|
|
|
|
PointProjective {
|
|
|
PointProjective {
|
|
|
x: x3.clone(),
|
|
|
|
|
|
y: y3.clone(),
|
|
|
|
|
|
z: z3.clone(),
|
|
|
|
|
|
|
|
|
x: x3,
|
|
|
|
|
|
y: y3,
|
|
|
|
|
|
z: z3,
|
|
|
}
|
|
|
}
|
|
|
}
|
|
|
}
|
|
|
}
|
|
|
}
|
|
@ -157,8 +154,8 @@ pub struct Point { |
|
|
impl Point {
|
|
|
impl Point {
|
|
|
pub fn projective(&self) -> PointProjective {
|
|
|
pub fn projective(&self) -> PointProjective {
|
|
|
PointProjective {
|
|
|
PointProjective {
|
|
|
x: self.x.clone(),
|
|
|
|
|
|
y: self.y.clone(),
|
|
|
|
|
|
|
|
|
x: self.x,
|
|
|
|
|
|
y: self.y,
|
|
|
z: Fr::one(),
|
|
|
z: Fr::one(),
|
|
|
}
|
|
|
}
|
|
|
}
|
|
|
}
|
|
@ -188,8 +185,8 @@ impl Point { |
|
|
let (_, y_bytes) = y_big.to_bytes_le();
|
|
|
let (_, y_bytes) = y_big.to_bytes_le();
|
|
|
let len = min(y_bytes.len(), r.len());
|
|
|
let len = min(y_bytes.len(), r.len());
|
|
|
r[..len].copy_from_slice(&y_bytes[..len]);
|
|
|
r[..len].copy_from_slice(&y_bytes[..len]);
|
|
|
if &x_big > &(&Q.clone() >> 1) {
|
|
|
|
|
|
r[31] = r[31] | 0x80;
|
|
|
|
|
|
|
|
|
if x_big > (&Q.clone() >> 1) {
|
|
|
|
|
|
r[31] |= 0x80;
|
|
|
}
|
|
|
}
|
|
|
r
|
|
|
r
|
|
|
}
|
|
|
}
|
|
@ -202,17 +199,17 @@ impl Point { |
|
|
}
|
|
|
}
|
|
|
}
|
|
|
}
|
|
|
|
|
|
|
|
|
pub fn test_bit(b: &Vec<u8>, i: usize) -> bool {
|
|
|
|
|
|
return b[i / 8] & (1 << (i % 8)) != 0;
|
|
|
|
|
|
|
|
|
pub fn test_bit(b: &[u8], i: usize) -> bool {
|
|
|
|
|
|
b[i / 8] & (1 << (i % 8)) != 0
|
|
|
}
|
|
|
}
|
|
|
|
|
|
|
|
|
pub fn decompress_point(bb: [u8; 32]) -> Result<Point, String> {
|
|
|
pub fn decompress_point(bb: [u8; 32]) -> Result<Point, String> {
|
|
|
// https://tools.ietf.org/html/rfc8032#section-5.2.3
|
|
|
// https://tools.ietf.org/html/rfc8032#section-5.2.3
|
|
|
let mut sign: bool = false;
|
|
|
let mut sign: bool = false;
|
|
|
let mut b = bb.clone();
|
|
|
|
|
|
|
|
|
let mut b = bb;
|
|
|
if b[31] & 0x80 != 0x00 {
|
|
|
if b[31] & 0x80 != 0x00 {
|
|
|
sign = true;
|
|
|
sign = true;
|
|
|
b[31] = b[31] & 0x7F;
|
|
|
|
|
|
|
|
|
b[31] &= 0x7F;
|
|
|
}
|
|
|
}
|
|
|
let y: BigInt = BigInt::from_bytes_le(Sign::Plus, &b[..]);
|
|
|
let y: BigInt = BigInt::from_bytes_le(Sign::Plus, &b[..]);
|
|
|
if y >= Q.clone() {
|
|
|
if y >= Q.clone() {
|
|
@ -223,7 +220,7 @@ pub fn decompress_point(bb: [u8; 32]) -> Result { |
|
|
// x^2 = (1 - y^2) / (a - d * y^2) (mod p)
|
|
|
// x^2 = (1 - y^2) / (a - d * y^2) (mod p)
|
|
|
let den = utils::modinv(
|
|
|
let den = utils::modinv(
|
|
|
&utils::modulus(
|
|
|
&utils::modulus(
|
|
|
&(&A_big.clone() - utils::modulus(&(&D_big.clone() * (&y * &y)), &Q)),
|
|
|
|
|
|
|
|
|
&(&A_BIG.clone() - utils::modulus(&(&D_BIG.clone() * (&y * &y)), &Q)),
|
|
|
&Q,
|
|
|
&Q,
|
|
|
),
|
|
|
),
|
|
|
&Q,
|
|
|
&Q,
|
|
@ -231,8 +228,8 @@ pub fn decompress_point(bb: [u8; 32]) -> Result { |
|
|
let mut x: BigInt = utils::modulus(&((one - utils::modulus(&(&y * &y), &Q)) * den), &Q);
|
|
|
let mut x: BigInt = utils::modulus(&((one - utils::modulus(&(&y * &y), &Q)) * den), &Q);
|
|
|
x = utils::modsqrt(&x, &Q)?;
|
|
|
x = utils::modsqrt(&x, &Q)?;
|
|
|
|
|
|
|
|
|
if sign && !(&x > &(&Q.clone() >> 1)) || (!sign && (&x > &(&Q.clone() >> 1))) {
|
|
|
|
|
|
x = x * -1.to_bigint().unwrap();
|
|
|
|
|
|
|
|
|
if sign && (x <= (&Q.clone() >> 1)) || (!sign && (x > (&Q.clone() >> 1))) {
|
|
|
|
|
|
x *= -(1.to_bigint().unwrap());
|
|
|
}
|
|
|
}
|
|
|
x = utils::modulus(&x, &Q);
|
|
|
x = utils::modulus(&x, &Q);
|
|
|
let x_fr: Fr = Fr::from_str(&x.to_string()).unwrap();
|
|
|
let x_fr: Fr = Fr::from_str(&x.to_string()).unwrap();
|
|
@ -241,7 +238,7 @@ pub fn decompress_point(bb: [u8; 32]) -> Result { |
|
|
}
|
|
|
}
|
|
|
|
|
|
|
|
|
#[cfg(feature = "default")]
|
|
|
#[cfg(feature = "default")]
|
|
|
fn blh(b: &Vec<u8>) -> Vec<u8> {
|
|
|
|
|
|
|
|
|
fn blh(b: &[u8]) -> Vec<u8> {
|
|
|
let hash = blake_hash::Blake512::digest(&b);
|
|
|
let hash = blake_hash::Blake512::digest(&b);
|
|
|
hash.to_vec()
|
|
|
hash.to_vec()
|
|
|
}
|
|
|
}
|
|
@ -279,11 +276,8 @@ pub fn decompress_signature(b: &[u8; 64]) -> Result { |
|
|
let s: BigInt = BigInt::from_bytes_le(Sign::Plus, &b[32..]);
|
|
|
let s: BigInt = BigInt::from_bytes_le(Sign::Plus, &b[32..]);
|
|
|
let r_b8 = decompress_point(r_b8_bytes);
|
|
|
let r_b8 = decompress_point(r_b8_bytes);
|
|
|
match r_b8 {
|
|
|
match r_b8 {
|
|
|
Result::Err(err) => return Err(err.to_string()),
|
|
|
|
|
|
Result::Ok(res) => Ok(Signature {
|
|
|
|
|
|
r_b8: res.clone(),
|
|
|
|
|
|
s: s,
|
|
|
|
|
|
}),
|
|
|
|
|
|
|
|
|
Result::Err(err) => Err(err),
|
|
|
|
|
|
Result::Ok(res) => Ok(Signature { r_b8: res, s }),
|
|
|
}
|
|
|
}
|
|
|
}
|
|
|
}
|
|
|
|
|
|
|
|
@ -308,21 +302,19 @@ impl PrivateKey { |
|
|
// let mut h = hasher.finalize();
|
|
|
// let mut h = hasher.finalize();
|
|
|
|
|
|
|
|
|
// compatible with circomlib implementation
|
|
|
// compatible with circomlib implementation
|
|
|
let mut hash: Vec<u8> = blh(&self.key.to_vec());
|
|
|
|
|
|
|
|
|
let hash: Vec<u8> = blh(&self.key.to_vec());
|
|
|
let mut h: Vec<u8> = hash[..32].to_vec();
|
|
|
let mut h: Vec<u8> = hash[..32].to_vec();
|
|
|
|
|
|
|
|
|
h[0] = h[0] & 0xF8;
|
|
|
|
|
|
h[31] = h[31] & 0x7F;
|
|
|
|
|
|
h[31] = h[31] | 0x40;
|
|
|
|
|
|
|
|
|
h[0] &= 0xF8;
|
|
|
|
|
|
h[31] &= 0x7F;
|
|
|
|
|
|
h[31] |= 0x40;
|
|
|
|
|
|
|
|
|
let sk = BigInt::from_bytes_le(Sign::Plus, &h[..]);
|
|
|
let sk = BigInt::from_bytes_le(Sign::Plus, &h[..]);
|
|
|
sk >> 3
|
|
|
sk >> 3
|
|
|
}
|
|
|
}
|
|
|
|
|
|
|
|
|
pub fn public(&self) -> Point {
|
|
|
pub fn public(&self) -> Point {
|
|
|
// https://tools.ietf.org/html/rfc8032#section-5.1.5
|
|
|
|
|
|
let pk = B8.mul_scalar(&self.scalar_key());
|
|
|
|
|
|
pk.clone()
|
|
|
|
|
|
|
|
|
B8.mul_scalar(&self.scalar_key())
|
|
|
}
|
|
|
}
|
|
|
|
|
|
|
|
|
pub fn sign(&self, msg: BigInt) -> Result<Signature, String> {
|
|
|
pub fn sign(&self, msg: BigInt) -> Result<Signature, String> {
|
|
@ -346,24 +338,22 @@ impl PrivateKey { |
|
|
let r_hashed: Vec<u8> = blh(&r_bytes);
|
|
|
let r_hashed: Vec<u8> = blh(&r_bytes);
|
|
|
let mut r = BigInt::from_bytes_le(Sign::Plus, &r_hashed[..]);
|
|
|
let mut r = BigInt::from_bytes_le(Sign::Plus, &r_hashed[..]);
|
|
|
r = utils::modulus(&r, &SUBORDER);
|
|
|
r = utils::modulus(&r, &SUBORDER);
|
|
|
let r8: Point = B8.mul_scalar(&r);
|
|
|
|
|
|
|
|
|
let r_b8: Point = B8.mul_scalar(&r);
|
|
|
let a = &self.public();
|
|
|
let a = &self.public();
|
|
|
|
|
|
|
|
|
let hm_input = vec![r8.x.clone(), r8.y.clone(), a.x.clone(), a.y.clone(), msg_fr];
|
|
|
|
|
|
let hm = poseidon.hash(hm_input)?;
|
|
|
|
|
|
|
|
|
let hm_input = vec![r_b8.x, r_b8.y, a.x, a.y, msg_fr];
|
|
|
|
|
|
let hm = POSEIDON.hash(hm_input)?;
|
|
|
|
|
|
|
|
|
let mut s = &self.scalar_key() << 3;
|
|
|
let mut s = &self.scalar_key() << 3;
|
|
|
let hm_b = BigInt::parse_bytes(to_hex(&hm).as_bytes(), 16).unwrap();
|
|
|
let hm_b = BigInt::parse_bytes(to_hex(&hm).as_bytes(), 16).unwrap();
|
|
|
s = hm_b * s;
|
|
|
s = hm_b * s;
|
|
|
s = r + s;
|
|
|
s = r + s;
|
|
|
s = s % &SUBORDER.clone();
|
|
|
|
|
|
|
|
|
s %= &SUBORDER.clone();
|
|
|
|
|
|
|
|
|
Ok(Signature {
|
|
|
|
|
|
r_b8: r8.clone(),
|
|
|
|
|
|
s: s,
|
|
|
|
|
|
})
|
|
|
|
|
|
|
|
|
Ok(Signature { r_b8, s })
|
|
|
}
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
#[allow(clippy::many_single_char_names)]
|
|
|
pub fn sign_schnorr(&self, m: BigInt) -> Result<(Point, BigInt), String> {
|
|
|
pub fn sign_schnorr(&self, m: BigInt) -> Result<(Point, BigInt), String> {
|
|
|
// random r
|
|
|
// random r
|
|
|
let mut rng = rand6::thread_rng();
|
|
|
let mut rng = rand6::thread_rng();
|
|
@ -388,8 +378,8 @@ pub fn schnorr_hash(pk: &Point, msg: BigInt, c: &Point) -> Result |
|
|
return Err("msg outside the Finite Field".to_string());
|
|
|
return Err("msg outside the Finite Field".to_string());
|
|
|
}
|
|
|
}
|
|
|
let msg_fr: Fr = Fr::from_str(&msg.to_string()).unwrap();
|
|
|
let msg_fr: Fr = Fr::from_str(&msg.to_string()).unwrap();
|
|
|
let hm_input = vec![pk.x.clone(), pk.y.clone(), c.x.clone(), c.y.clone(), msg_fr];
|
|
|
|
|
|
let h = poseidon.hash(hm_input)?;
|
|
|
|
|
|
|
|
|
let hm_input = vec![pk.x, pk.y, c.x, c.y, msg_fr];
|
|
|
|
|
|
let h = POSEIDON.hash(hm_input)?;
|
|
|
let h_b = BigInt::parse_bytes(to_hex(&h).as_bytes(), 16).unwrap();
|
|
|
let h_b = BigInt::parse_bytes(to_hex(&h).as_bytes(), 16).unwrap();
|
|
|
Ok(h_b)
|
|
|
Ok(h_b)
|
|
|
}
|
|
|
}
|
|
@ -419,14 +409,8 @@ pub fn verify(pk: Point, sig: Signature, msg: BigInt) -> bool { |
|
|
return false;
|
|
|
return false;
|
|
|
}
|
|
|
}
|
|
|
let msg_fr: Fr = Fr::from_str(&msg.to_string()).unwrap();
|
|
|
let msg_fr: Fr = Fr::from_str(&msg.to_string()).unwrap();
|
|
|
let hm_input = vec![
|
|
|
|
|
|
sig.r_b8.x.clone(),
|
|
|
|
|
|
sig.r_b8.y.clone(),
|
|
|
|
|
|
pk.x.clone(),
|
|
|
|
|
|
pk.y.clone(),
|
|
|
|
|
|
msg_fr,
|
|
|
|
|
|
];
|
|
|
|
|
|
let hm = match poseidon.hash(hm_input) {
|
|
|
|
|
|
|
|
|
let hm_input = vec![sig.r_b8.x, sig.r_b8.y, pk.x, pk.y, msg_fr];
|
|
|
|
|
|
let hm = match POSEIDON.hash(hm_input) {
|
|
|
Result::Err(_) => return false,
|
|
|
Result::Err(_) => return false,
|
|
|
Result::Ok(hm) => hm,
|
|
|
Result::Ok(hm) => hm,
|
|
|
};
|
|
|
};
|
|
@ -443,6 +427,7 @@ pub fn verify(pk: Point, sig: Signature, msg: BigInt) -> bool { |
|
|
mod tests {
|
|
|
mod tests {
|
|
|
use super::*;
|
|
|
use super::*;
|
|
|
extern crate rustc_hex;
|
|
|
extern crate rustc_hex;
|
|
|
|
|
|
use rand6::Rng;
|
|
|
use rustc_hex::{FromHex, ToHex};
|
|
|
use rustc_hex::{FromHex, ToHex};
|
|
|
|
|
|
|
|
|
#[test]
|
|
|
#[test]
|
|
@ -720,7 +705,7 @@ mod tests { |
|
|
.unwrap();
|
|
|
.unwrap();
|
|
|
|
|
|
|
|
|
// test blake compatible with circomlib implementation
|
|
|
// test blake compatible with circomlib implementation
|
|
|
let mut h: Vec<u8> = blh(&sk_raw_bytes);
|
|
|
|
|
|
|
|
|
let h: Vec<u8> = blh(&sk_raw_bytes);
|
|
|
assert_eq!(h.to_hex(), "c992db23d6290c70ffcc02f7abeb00b9d00fa8b43e55d7949c28ba6be7545d3253882a61bd004a236ef1cdba01b27ba0aedfb08eefdbfb7c19657c880b43ddf1");
|
|
|
assert_eq!(h.to_hex(), "c992db23d6290c70ffcc02f7abeb00b9d00fa8b43e55d7949c28ba6be7545d3253882a61bd004a236ef1cdba01b27ba0aedfb08eefdbfb7c19657c880b43ddf1");
|
|
|
|
|
|
|
|
|
// test private key
|
|
|
// test private key
|
|
|