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@ -62,7 +62,7 @@ pub struct Point { |
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}
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}
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impl Point {
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impl Point {
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pub fn add(&self, q: &Point) -> Point {
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pub fn add(&self, q: &Point) -> Result<Point, String> {
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// x = (x1*y2+y1*x2)/(c*(1+d*x1*x2*y1*y2))
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// x = (x1*y2+y1*x2)/(c*(1+d*x1*x2*y1*y2))
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// y = (y1*y2-x1*x2)/(c*(1-d*x1*x2*y1*y2))
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// y = (y1*y2-x1*x2)/(c*(1-d*x1*x2*y1*y2))
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@ -70,19 +70,19 @@ impl Point { |
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let one: BigInt = One::one();
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let one: BigInt = One::one();
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let x_num: BigInt = &self.x * &q.y + &self.y * &q.x;
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let x_num: BigInt = &self.x * &q.y + &self.y * &q.x;
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let x_den: BigInt = &one + &D.clone() * &self.x * &q.x * &self.y * &q.y;
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let x_den: BigInt = &one + &D.clone() * &self.x * &q.x * &self.y * &q.y;
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let x_den_inv = utils::modinv(&x_den, &Q);
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let x_den_inv = utils::modinv(&x_den, &Q)?;
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let x: BigInt = utils::modulus(&(&x_num * &x_den_inv), &Q);
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let x: BigInt = utils::modulus(&(&x_num * &x_den_inv), &Q);
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// y = (y1 * y2 - a * x1 * x2) / (1 - d * x1 * x2 * y1 * y2)
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// y = (y1 * y2 - a * x1 * x2) / (1 - d * x1 * x2 * y1 * y2)
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let y_num = &self.y * &q.y - &A.clone() * &self.x * &q.x;
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let y_num = &self.y * &q.y - &A.clone() * &self.x * &q.x;
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let y_den = utils::modulus(&(&one - &D.clone() * &self.x * &q.x * &self.y * &q.y), &Q);
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let y_den = utils::modulus(&(&one - &D.clone() * &self.x * &q.x * &self.y * &q.y), &Q);
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let y_den_inv = utils::modinv(&y_den, &Q);
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let y_den_inv = utils::modinv(&y_den, &Q)?;
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let y: BigInt = utils::modulus(&(&y_num * &y_den_inv), &Q);
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let y: BigInt = utils::modulus(&(&y_num * &y_den_inv), &Q);
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Point { x: x, y: y }
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Ok(Point { x: x, y: y })
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}
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}
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pub fn mul_scalar(&self, n: BigInt) -> Point {
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pub fn mul_scalar(&self, n: BigInt) -> Result<Point, String> {
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// TODO use & in n to avoid clones on function call
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// TODO use & in n to avoid clones on function call
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let mut r: Point = Point {
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let mut r: Point = Point {
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x: Zero::zero(),
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x: Zero::zero(),
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@ -96,14 +96,14 @@ impl Point { |
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while rem != zero {
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while rem != zero {
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let is_odd = &rem & &one == one;
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let is_odd = &rem & &one == one;
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if is_odd == true {
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if is_odd == true {
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r = r.add(&exp);
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r = r.add(&exp)?;
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}
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}
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exp = exp.add(&exp);
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exp = exp.add(&exp)?;
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rem = rem >> 1;
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rem = rem >> 1;
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}
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}
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r.x = utils::modulus(&r.x, &Q);
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r.x = utils::modulus(&r.x, &Q);
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r.y = utils::modulus(&r.y, &Q);
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r.y = utils::modulus(&r.y, &Q);
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r
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Ok(r)
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}
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}
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pub fn compress(&self) -> [u8; 32] {
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pub fn compress(&self) -> [u8; 32] {
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@ -111,7 +111,7 @@ impl Point { |
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let (_, y_bytes) = self.y.to_bytes_le();
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let (_, y_bytes) = self.y.to_bytes_le();
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let len = min(y_bytes.len(), r.len());
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let len = min(y_bytes.len(), r.len());
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r[..len].copy_from_slice(&y_bytes[..len]);
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r[..len].copy_from_slice(&y_bytes[..len]);
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if &self.x >= &(&Q.clone() >> 1) {
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if &self.x > &(&Q.clone() >> 1) {
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r[31] = r[31] | 0x80;
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r[31] = r[31] | 0x80;
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}
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}
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r
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r
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@ -133,18 +133,15 @@ pub fn decompress_point(bb: [u8; 32]) -> Result { |
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let one: BigInt = One::one();
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let one: BigInt = One::one();
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// x^2 = (1 - y^2) / (a - d * y^2) (mod p)
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// x^2 = (1 - y^2) / (a - d * y^2) (mod p)
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let mut x: BigInt = utils::modulus(
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&((one - utils::modulus(&(&y * &y), &Q))
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* utils::modinv(
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&utils::modulus(
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&(&A.clone() - utils::modulus(&(&D.clone() * (&y * &y)), &Q)),
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&Q,
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),
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&Q,
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)),
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let den = utils::modinv(
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&utils::modulus(
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&(&A.clone() - utils::modulus(&(&D.clone() * (&y * &y)), &Q)),
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&Q,
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),
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&Q,
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&Q,
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);
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x = utils::modsqrt(&x, &Q);
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)?;
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let mut x: BigInt = utils::modulus(&((one - utils::modulus(&(&y * &y), &Q)) * den), &Q);
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x = utils::modsqrt(&x, &Q)?;
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if sign && !(&x > &(&Q.clone() >> 1)) || (!sign && (&x > &(&Q.clone() >> 1))) {
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if sign && !(&x > &(&Q.clone() >> 1)) || (!sign && (&x > &(&Q.clone() >> 1))) {
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x = x * -1.to_bigint().unwrap();
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x = x * -1.to_bigint().unwrap();
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@ -191,10 +188,10 @@ pub struct PrivateKey { |
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}
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}
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impl PrivateKey {
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impl PrivateKey {
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pub fn public(&self) -> Point {
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pub fn public(&self) -> Result<Point, String> {
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// https://tools.ietf.org/html/rfc8032#section-5.1.5
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// https://tools.ietf.org/html/rfc8032#section-5.1.5
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let pk = B8.mul_scalar(self.key.clone());
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pk.clone()
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let pk = B8.mul_scalar(self.key.clone())?;
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Ok(pk.clone())
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}
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}
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pub fn sign_mimc(&self, msg: BigInt) -> Result<Signature, String> {
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pub fn sign_mimc(&self, msg: BigInt) -> Result<Signature, String> {
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@ -209,15 +206,12 @@ impl PrivateKey { |
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let r_bytes = utils::concatenate_arrays(s, &msg_bytes);
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let r_bytes = utils::concatenate_arrays(s, &msg_bytes);
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let mut r = BigInt::from_bytes_be(Sign::Plus, &r_bytes[..]);
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let mut r = BigInt::from_bytes_be(Sign::Plus, &r_bytes[..]);
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r = utils::modulus(&r, &SUBORDER);
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r = utils::modulus(&r, &SUBORDER);
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let r8: Point = B8.mul_scalar(r.clone());
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let a = &self.public();
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let r8: Point = B8.mul_scalar(r.clone())?;
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let a = &self.public()?;
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let hm_input = vec![r8.x.clone(), r8.y.clone(), a.x.clone(), a.y.clone(), msg];
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let hm_input = vec![r8.x.clone(), r8.y.clone(), a.x.clone(), a.y.clone(), msg];
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let mimc7 = Mimc7::new();
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let mimc7 = Mimc7::new();
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let hm = match mimc7.hash(hm_input) {
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Result::Err(err) => return Err(err.to_string()),
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Result::Ok(hm) => hm,
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};
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let hm = mimc7.hash(hm_input)?;
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let mut s = &self.key << 3;
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let mut s = &self.key << 3;
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s = hm * s;
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s = hm * s;
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@ -241,15 +235,12 @@ impl PrivateKey { |
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let r_bytes = utils::concatenate_arrays(s, &msg_bytes);
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let r_bytes = utils::concatenate_arrays(s, &msg_bytes);
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let mut r = BigInt::from_bytes_be(Sign::Plus, &r_bytes[..]);
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let mut r = BigInt::from_bytes_be(Sign::Plus, &r_bytes[..]);
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r = utils::modulus(&r, &SUBORDER);
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r = utils::modulus(&r, &SUBORDER);
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let r8: Point = B8.mul_scalar(r.clone());
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let a = &self.public();
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let r8: Point = B8.mul_scalar(r.clone())?;
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let a = &self.public()?;
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let hm_input = vec![r8.x.clone(), r8.y.clone(), a.x.clone(), a.y.clone(), msg];
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let hm_input = vec![r8.x.clone(), r8.y.clone(), a.x.clone(), a.y.clone(), msg];
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let poseidon = Poseidon::new();
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let poseidon = Poseidon::new();
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let hm = match poseidon.hash(hm_input) {
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Result::Err(err) => return Err(err.to_string()),
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Result::Ok(hm) => hm,
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};
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let hm = poseidon.hash(hm_input)?;
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let mut s = &self.key << 3;
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let mut s = &self.key << 3;
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s = hm * s;
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s = hm * s;
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@ -295,8 +286,17 @@ pub fn verify_mimc(pk: Point, sig: Signature, msg: BigInt) -> bool { |
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Result::Err(_) => return false,
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Result::Err(_) => return false,
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Result::Ok(hm) => hm,
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Result::Ok(hm) => hm,
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};
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};
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let l = B8.mul_scalar(sig.s);
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let r = sig.r_b8.add(&pk.mul_scalar(8.to_bigint().unwrap() * hm));
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let l = match B8.mul_scalar(sig.s) {
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Result::Err(_) => return false,
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Result::Ok(l) => l,
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};
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let r = match sig
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.r_b8
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.add(&pk.mul_scalar(8.to_bigint().unwrap() * hm).unwrap())
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{
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Result::Err(_) => return false,
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Result::Ok(r) => r,
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};
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if l.x == r.x && l.y == r.y {
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if l.x == r.x && l.y == r.y {
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return true;
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return true;
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}
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}
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@ -315,8 +315,17 @@ pub fn verify_poseidon(pk: Point, sig: Signature, msg: BigInt) -> bool { |
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Result::Err(_) => return false,
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Result::Err(_) => return false,
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Result::Ok(hm) => hm,
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Result::Ok(hm) => hm,
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};
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};
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let l = B8.mul_scalar(sig.s);
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let r = sig.r_b8.add(&pk.mul_scalar(8.to_bigint().unwrap() * hm));
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let l = match B8.mul_scalar(sig.s) {
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Result::Err(_) => return false,
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Result::Ok(l) => l,
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};
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let r = match sig
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.r_b8
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.add(&pk.mul_scalar(8.to_bigint().unwrap() * hm).unwrap())
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{
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Result::Err(_) => return false,
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Result::Ok(r) => r,
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};
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if l.x == r.x && l.y == r.y {
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if l.x == r.x && l.y == r.y {
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return true;
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return true;
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}
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}
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@ -355,7 +364,7 @@ mod tests { |
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)
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)
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.unwrap(),
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.unwrap(),
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};
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};
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let res = p.add(&q);
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let res = p.add(&q).unwrap();
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assert_eq!(
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assert_eq!(
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res.x.to_string(),
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res.x.to_string(),
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"6890855772600357754907169075114257697580319025794532037257385534741338397365"
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"6890855772600357754907169075114257697580319025794532037257385534741338397365"
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@ -391,7 +400,7 @@ mod tests { |
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)
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)
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.unwrap(),
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.unwrap(),
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};
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};
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let res = p.add(&q);
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let res = p.add(&q).unwrap();
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assert_eq!(
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assert_eq!(
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res.x.to_string(),
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res.x.to_string(),
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"7916061937171219682591368294088513039687205273691143098332585753343424131937"
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"7916061937171219682591368294088513039687205273691143098332585753343424131937"
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@ -416,9 +425,9 @@ mod tests { |
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)
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)
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.unwrap(),
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.unwrap(),
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};
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};
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let res_m = p.mul_scalar(3.to_bigint().unwrap());
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let res_a = p.add(&p);
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let res_a = res_a.add(&p);
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let res_m = p.mul_scalar(3.to_bigint().unwrap()).unwrap();
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let res_a = p.add(&p).unwrap();
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let res_a = res_a.add(&p).unwrap();
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assert_eq!(res_m.x, res_a.x);
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assert_eq!(res_m.x, res_a.x);
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assert_eq!(
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assert_eq!(
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res_m.x.to_string(),
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res_m.x.to_string(),
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@ -434,7 +443,7 @@ mod tests { |
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10,
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10,
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)
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)
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.unwrap();
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.unwrap();
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let res2 = p.mul_scalar(n);
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let res2 = p.mul_scalar(n).unwrap();
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assert_eq!(
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assert_eq!(
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res2.x.to_string(),
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res2.x.to_string(),
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"17070357974431721403481313912716834497662307308519659060910483826664480189605"
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"17070357974431721403481313912716834497662307308519659060910483826664480189605"
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@ -448,7 +457,7 @@ mod tests { |
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#[test]
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#[test]
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fn test_new_key_sign_verify_mimc_0() {
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fn test_new_key_sign_verify_mimc_0() {
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let sk = new_key();
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let sk = new_key();
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let pk = sk.public();
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let pk = sk.public().unwrap();
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let msg = 5.to_bigint().unwrap();
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let msg = 5.to_bigint().unwrap();
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let sig = sk.sign_mimc(msg.clone()).unwrap();
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let sig = sk.sign_mimc(msg.clone()).unwrap();
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let v = verify_mimc(pk, sig, msg);
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let v = verify_mimc(pk, sig, msg);
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@ -458,7 +467,7 @@ mod tests { |
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#[test]
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#[test]
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fn test_new_key_sign_verify_mimc_1() {
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fn test_new_key_sign_verify_mimc_1() {
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let sk = new_key();
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let sk = new_key();
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let pk = sk.public();
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let pk = sk.public().unwrap();
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let msg = BigInt::parse_bytes(b"123456789012345678901234567890", 10).unwrap();
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let msg = BigInt::parse_bytes(b"123456789012345678901234567890", 10).unwrap();
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let sig = sk.sign_mimc(msg.clone()).unwrap();
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let sig = sk.sign_mimc(msg.clone()).unwrap();
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let v = verify_mimc(pk, sig, msg);
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let v = verify_mimc(pk, sig, msg);
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@ -467,7 +476,7 @@ mod tests { |
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#[test]
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#[test]
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fn test_new_key_sign_verify_poseidon_0() {
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fn test_new_key_sign_verify_poseidon_0() {
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let sk = new_key();
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let sk = new_key();
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let pk = sk.public();
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let pk = sk.public().unwrap();
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let msg = 5.to_bigint().unwrap();
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let msg = 5.to_bigint().unwrap();
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let sig = sk.sign_poseidon(msg.clone()).unwrap();
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let sig = sk.sign_poseidon(msg.clone()).unwrap();
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let v = verify_poseidon(pk, sig, msg);
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let v = verify_poseidon(pk, sig, msg);
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@ -477,7 +486,7 @@ mod tests { |
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|
#[test]
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|
#[test]
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|
fn test_new_key_sign_verify_poseidon_1() {
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|
fn test_new_key_sign_verify_poseidon_1() {
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let sk = new_key();
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|
let sk = new_key();
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|
let pk = sk.public();
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|
|
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let pk = sk.public().unwrap();
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let msg = BigInt::parse_bytes(b"123456789012345678901234567890", 10).unwrap();
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let msg = BigInt::parse_bytes(b"123456789012345678901234567890", 10).unwrap();
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|
let sig = sk.sign_poseidon(msg.clone()).unwrap();
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|
let sig = sk.sign_poseidon(msg.clone()).unwrap();
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|
let v = verify_poseidon(pk, sig, msg);
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|
let v = verify_poseidon(pk, sig, msg);
|
|
@ -559,7 +568,7 @@ mod tests { |
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|
h[31] = h[31] | 0x40;
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|
h[31] = h[31] | 0x40;
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|
|
|
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|
let sk = BigInt::from_bytes_le(Sign::Plus, &h[..]);
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|
let sk = BigInt::from_bytes_le(Sign::Plus, &h[..]);
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|
let point = B8.mul_scalar(sk.clone());
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|
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|
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|
let point = B8.mul_scalar(sk.clone()).unwrap();
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|
|
let cmp_point = point.compress();
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|
|
let cmp_point = point.compress();
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|
|
let dcmp_point = decompress_point(cmp_point).unwrap();
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|
|
let dcmp_point = decompress_point(cmp_point).unwrap();
|
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|
@ -571,7 +580,7 @@ mod tests { |
|
|
#[test]
|
|
|
#[test]
|
|
|
fn test_signature_compress_decompress() {
|
|
|
fn test_signature_compress_decompress() {
|
|
|
let sk = new_key();
|
|
|
let sk = new_key();
|
|
|
let pk = sk.public();
|
|
|
|
|
|
|
|
|
let pk = sk.public().unwrap();
|
|
|
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|
|
|
|
|
for i in 0..5 {
|
|
|
for i in 0..5 {
|
|
|
let msg_raw = "123456".to_owned() + &i.to_string();
|
|
|
let msg_raw = "123456".to_owned() + &i.to_string();
|
|
|