Schnorr signature works

src/main.rs

@@ -8,19 +8,24 @@ use rand::Rng;
 
 const BIG_GROUP_GEN: GoldilocksField = GoldilocksField(14293326489335486720);
 
+#[derive(Copy, Clone, Debug)]
 struct SchnorrSigner {
     PRIME_GROUP_GEN: GoldilocksField,
     PRIME_GROUP_ORDER: u64,
 }
 
+#[derive(Copy, Clone, Debug)]
+
 struct SchnorrSecretKey {
     sk: u64,
 }
 
+#[derive(Copy, Clone, Debug)]
 struct SchnorrPublicKey {
     pk: GoldilocksField,
 }
 
+#[derive(Copy, Clone, Debug)]
 struct SchnorrSignature {
     s: u64,
     e: u64,
@@ -30,7 +35,7 @@ impl SchnorrSigner{
     fn new() -> Self {
         let quotient_order: u64 = (1 << 48) - (1 << 32);
         let PRIME_GROUP_GEN: GoldilocksField = Self::pow(BIG_GROUP_GEN, quotient_order);
-        let PRIME_GROUP_ORDER: u64 = (1 << 32) + 1;
+        let PRIME_GROUP_ORDER: u64 = (1 << 16) + 1;
         SchnorrSigner{PRIME_GROUP_GEN, PRIME_GROUP_ORDER}
     }
 
@@ -48,8 +53,10 @@ impl SchnorrSigner{
         res
     }
 
-    fn keygen(&self, sk: SchnorrSecretKey) -> SchnorrPublicKey {
-        let pk: GoldilocksField = Self::pow(self.PRIME_GROUP_GEN, sk.sk);
+    fn keygen(&self, sk: &SchnorrSecretKey) -> SchnorrPublicKey {
+        let pk: GoldilocksField = Self::pow(self.PRIME_GROUP_GEN, sk.sk).inverse();
+        println!("{:?}", self.PRIME_GROUP_GEN);
+        // self.PRIME_GROUP_GEN is 6612579038192137166
         SchnorrPublicKey{pk: pk}
     }
 
@@ -69,20 +76,29 @@ impl SchnorrSigner{
         rng.gen_range(0..group_order)
     }
 
-    fn sign(&self, msg: &Vec<GoldilocksField>, sk: SchnorrSecretKey, rng: &mut rand::rngs::ThreadRng) -> SchnorrSignature {
+    fn u64_into_goldilocks_vec(&self, msg: Vec<u64>) -> Vec<GoldilocksField> {
+        msg.into_iter()
+            .map(|x| GoldilocksField::from_noncanonical_u64(x))
+            .collect()
+    }
+
+    fn sign(&self, msg: &Vec<GoldilocksField>, sk: &SchnorrSecretKey, rng: &mut rand::rngs::ThreadRng) -> SchnorrSignature {
         let k: u64 = self.rand_group_multiplier(rng);
         let r: GoldilocksField = Self::pow(self.PRIME_GROUP_GEN, k);
         let e: u64 = self.hash_insecure(&r, msg);
         assert!(k < self.PRIME_GROUP_ORDER);
-        assert!(sk < self.PRIME_GROUP_ORDER);
+        assert!(sk.sk < self.PRIME_GROUP_ORDER);
         assert!(e < self.PRIME_GROUP_ORDER);
+        //println!("Super secret k: {:?}", k);
+        //println!("Super secret r: {:?}", r);
+        //println!("PRIME_GROUP_ORDER: {:?}", self.PRIME_GROUP_ORDER);
         let mut s128: u128 = ((k as u128) + (sk.sk as u128) * (e as u128));
-        s128 %= (self.PRIME_GROUP_ORDER as u128);
+        s128 %= self.PRIME_GROUP_ORDER as u128;
         let s: u64 = s128 as u64;
         SchnorrSignature{e, s}
     }
 
-    fn verify(&self, sig: SchnorrSignature, msg: &Vec<GoldilocksField>, pk: SchnorrPublicKey) -> bool {
+    fn verify(&self, sig: &SchnorrSignature, msg: &Vec<GoldilocksField>, pk: &SchnorrPublicKey) -> bool {
         let r: GoldilocksField = Self::pow(self.PRIME_GROUP_GEN, sig.s)
             * Self::pow(pk.pk, sig.e);
         let e_v: u64 = self.hash_insecure(&r, msg);
@@ -106,7 +122,7 @@ fn main() {
 mod tests {
     use plonky2::field::goldilocks_field::GoldilocksField;
 
-    use crate::SchnorrSigner;
+    use crate::{SchnorrPublicKey, SchnorrSecretKey, SchnorrSigner, SchnorrSignature};
 
     #[test]
     fn test_pow() {
@@ -118,5 +134,19 @@ mod tests {
     #[test]
     fn test_sig() {
         println!("NOT IMPLEMENTED");
+        let mut rng: rand::rngs::ThreadRng = rand::thread_rng();
+        let ss = SchnorrSigner::new();
+        let sk: SchnorrSecretKey = SchnorrSecretKey{ sk: 1422 };
+        let pk: SchnorrPublicKey = ss.keygen(&sk);
+
+        let msg0_u64: Vec<u64> = vec![17, 123985, 3, 12];
+        let msg0: Vec<GoldilocksField> = ss.u64_into_goldilocks_vec(msg0_u64);
+        let sig: SchnorrSignature = ss.sign(&msg0, &sk, &mut rng);
+        let res: bool = ss.verify(&sig, &msg0, &pk);
+        println!("Trying to verify:");
+        println!("Secret key: {:?}", sk);
+        println!("Public key: {:?}", pk);
+        println!("Signature: {:?}", sig);
+        assert!(res);
     }
 }