Dedicated crate for the Schnorr contract

networks/ethereum/schnorr/src/lib.rs

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+#![cfg_attr(docsrs, feature(doc_auto_cfg))]
+#![doc = include_str!("../README.md")]
+#![deny(missing_docs)]
+#![allow(non_snake_case)]
+
+/// The initialization bytecode of the Schnorr library.
+pub const INIT_BYTECODE: &str = include_str!("../artifacts/Schnorr.bin");
+
+mod public_key;
+pub use public_key::PublicKey;
+mod signature;
+pub use signature::Signature;
+
+#[cfg(test)]
+mod tests;

networks/ethereum/schnorr/src/public_key.rs

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+use subtle::Choice;
+use group::ff::PrimeField;
+use k256::{
+  elliptic_curve::{
+    ops::Reduce,
+    point::{AffineCoordinates, DecompressPoint},
+  },
+  AffinePoint, ProjectivePoint, Scalar, U256 as KU256,
+};
+
+/// A public key for the Schnorr Solidity library.
+#[derive(Clone, Copy, PartialEq, Eq, Debug)]
+pub struct PublicKey {
+  A: ProjectivePoint,
+  x_coordinate: [u8; 32],
+}
+
+impl PublicKey {
+  /// Construct a new `PublicKey`.
+  ///
+  /// This will return None if the provided point isn't eligible to be a public key (due to
+  /// bounds such as parity).
+  #[must_use]
+  pub fn new(A: ProjectivePoint) -> Option<PublicKey> {
+    let affine = A.to_affine();
+
+    // Only allow even keys to save a word within Ethereum
+    if bool::from(affine.y_is_odd()) {
+      None?;
+    }
+
+    let x_coordinate = affine.x();
+    // Return None if the x-coordinate isn't mutual to both fields
+    // While reductions shouldn't be an issue, it's one less headache/concern to have
+    // The trivial amount of public keys this makes non-representable aren't a concern
+    if <Scalar as Reduce<KU256>>::reduce_bytes(&x_coordinate).to_repr() != x_coordinate {
+      None?;
+    }
+
+    Some(PublicKey { A, x_coordinate: x_coordinate.into() })
+  }
+
+  /// The point for this public key.
+  #[must_use]
+  pub fn point(&self) -> ProjectivePoint {
+    self.A
+  }
+
+  /// The Ethereum representation of this public key.
+  #[must_use]
+  pub fn eth_repr(&self) -> [u8; 32] {
+    // We only encode the x-coordinate due to fixing the sign of the y-coordinate
+    self.x_coordinate
+  }
+
+  /// Construct a PublicKey from its Ethereum representation.
+  // This wouldn't be possible if the x-coordinate had been reduced
+  #[must_use]
+  pub fn from_eth_repr(repr: [u8; 32]) -> Option<Self> {
+    let x_coordinate = repr;
+
+    let y_is_odd = Choice::from(0);
+    let A_affine =
+      Option::<AffinePoint>::from(AffinePoint::decompress(&x_coordinate.into(), y_is_odd))?;
+    let A = ProjectivePoint::from(A_affine);
+    Some(PublicKey { A, x_coordinate })
+  }
+}

networks/ethereum/schnorr/src/signature.rs

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+use std::io;
+
+use sha3::{Digest, Keccak256};
+
+use group::ff::PrimeField;
+use k256::{
+  elliptic_curve::{ops::Reduce, sec1::ToEncodedPoint},
+  ProjectivePoint, Scalar, U256 as KU256,
+};
+
+use crate::PublicKey;
+
+/// A signature for the Schnorr Solidity library.
+#[derive(Clone, Copy, PartialEq, Eq, Debug)]
+pub struct Signature {
+  c: Scalar,
+  s: Scalar,
+}
+
+impl Signature {
+  /// Construct a new `Signature`.
+  #[must_use]
+  pub fn new(c: Scalar, s: Scalar) -> Signature {
+    Signature { c, s }
+  }
+
+  /// The challenge for a signature.
+  #[must_use]
+  pub fn challenge(R: ProjectivePoint, key: &PublicKey, message: &[u8]) -> Scalar {
+    // H(R || A || m)
+    let mut hash = Keccak256::new();
+    // We transcript the nonce as an address since ecrecover yields an address
+    hash.update({
+      let uncompressed_encoded_point = R.to_encoded_point(false);
+      // Skip the prefix byte marking this as uncompressed
+      let x_and_y_coordinates = &uncompressed_encoded_point.as_ref()[1 ..];
+      // Last 20 bytes of the hash of the x and y coordinates
+      &Keccak256::digest(x_and_y_coordinates)[12 ..]
+    });
+    hash.update(key.eth_repr());
+    hash.update(message);
+    <Scalar as Reduce<KU256>>::reduce_bytes(&hash.finalize())
+  }
+
+  /// Verify a signature.
+  #[must_use]
+  pub fn verify(&self, key: &PublicKey, message: &[u8]) -> bool {
+    // Recover the nonce
+    let R = (ProjectivePoint::GENERATOR * self.s) - (key.point() * self.c);
+    // Check the challenge
+    Self::challenge(R, key, message) == self.c
+  }
+
+  /// The challenge present within this signature.
+  pub fn c(&self) -> Scalar {
+    self.c
+  }
+
+  /// The signature solution present within this signature.
+  pub fn s(&self) -> Scalar {
+    self.s
+  }
+
+  /// Convert the signature to bytes.
+  #[must_use]
+  pub fn to_bytes(&self) -> [u8; 64] {
+    let mut res = [0; 64];
+    res[.. 32].copy_from_slice(self.c.to_repr().as_ref());
+    res[32 ..].copy_from_slice(self.s.to_repr().as_ref());
+    res
+  }
+
+  /// Write the signature.
+  pub fn write(&self, writer: &mut impl io::Write) -> io::Result<()> {
+    writer.write_all(&self.to_bytes())
+  }
+
+  /// Read a signature.
+  pub fn read(reader: &mut impl io::Read) -> io::Result<Self> {
+    let mut read_F = || -> io::Result<Scalar> {
+      let mut bytes = [0; 32];
+      reader.read_exact(&mut bytes)?;
+      Option::<Scalar>::from(Scalar::from_repr(bytes.into()))
+        .ok_or_else(|| io::Error::other("invalid scalar"))
+    };
+    let c = read_F()?;
+    let s = read_F()?;
+    Ok(Signature { c, s })
+  }
+
+  /// Read a signature from bytes.
+  pub fn from_bytes(bytes: [u8; 64]) -> io::Result<Self> {
+    Self::read(&mut bytes.as_slice())
+  }
+}

networks/ethereum/schnorr/src/tests.rs

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+use std::sync::Arc;
+
+use rand_core::{RngCore, OsRng};
+
+use group::ff::{Field, PrimeField};
+use k256::{Scalar, ProjectivePoint};
+
+use alloy_core::primitives::Address;
+use alloy_sol_types::SolCall;
+
+use alloy_simple_request_transport::SimpleRequest;
+use alloy_rpc_types_eth::{TransactionInput, TransactionRequest};
+use alloy_rpc_client::ClientBuilder;
+use alloy_provider::{Provider, RootProvider};
+
+use alloy_node_bindings::{Anvil, AnvilInstance};
+
+use crate::{PublicKey, Signature};
+
+#[allow(warnings)]
+#[allow(needless_pass_by_value)]
+#[allow(clippy::all)]
+#[allow(clippy::ignored_unit_patterns)]
+#[allow(clippy::redundant_closure_for_method_calls)]
+mod abi {
+  alloy_sol_types::sol!("contracts/tests/Schnorr.sol");
+  pub(crate) use TestSchnorr::*;
+}
+
+async fn setup_test() -> (AnvilInstance, Arc<RootProvider<SimpleRequest>>, Address) {
+  let anvil = Anvil::new().spawn();
+
+  let provider = Arc::new(RootProvider::new(
+    ClientBuilder::default().transport(SimpleRequest::new(anvil.endpoint()), true),
+  ));
+
+  let mut address = [0; 20];
+  OsRng.fill_bytes(&mut address);
+  let address = Address::from(address);
+  let _: () = provider
+    .raw_request(
+      "anvil_setCode".into(),
+      [address.to_string(), include_str!("../artifacts/TestSchnorr.bin-runtime").to_string()],
+    )
+    .await
+    .unwrap();
+
+  (anvil, provider, address)
+}
+
+async fn call_verify(
+  provider: &RootProvider<SimpleRequest>,
+  address: Address,
+  public_key: &PublicKey,
+  message: &[u8],
+  signature: &Signature,
+) -> bool {
+  let public_key: [u8; 32] = public_key.eth_repr();
+  let c_bytes: [u8; 32] = signature.c().to_repr().into();
+  let s_bytes: [u8; 32] = signature.s().to_repr().into();
+  let call = TransactionRequest::default().to(address).input(TransactionInput::new(
+    abi::verifyCall::new((
+      public_key.into(),
+      message.to_vec().into(),
+      c_bytes.into(),
+      s_bytes.into(),
+    ))
+    .abi_encode()
+    .into(),
+  ));
+  let bytes = provider.call(&call).await.unwrap();
+  let res = abi::verifyCall::abi_decode_returns(&bytes, true).unwrap();
+
+  res._0
+}
+
+#[tokio::test]
+async fn test_verify() {
+  let (_anvil, provider, address) = setup_test().await;
+
+  for _ in 0 .. 100 {
+    let (key, public_key) = loop {
+      let key = Scalar::random(&mut OsRng);
+      if let Some(public_key) = PublicKey::new(ProjectivePoint::GENERATOR * key) {
+        break (key, public_key);
+      }
+    };
+
+    let nonce = Scalar::random(&mut OsRng);
+    let mut message = vec![0; 1 + usize::try_from(OsRng.next_u32() % 256).unwrap()];
+    OsRng.fill_bytes(&mut message);
+
+    let c = Signature::challenge(ProjectivePoint::GENERATOR * nonce, &public_key, &message);
+    let s = nonce + (c * key);
+
+    let sig = Signature::new(c, s);
+    assert!(sig.verify(&public_key, &message));
+    assert!(call_verify(&provider, address, &public_key, &message, &sig).await);
+    // Mutate the message and make sure the signature now fails to verify
+    message[0] = message[0].wrapping_add(1);
+    assert!(!call_verify(&provider, address, &public_key, &message, &sig).await);
+  }
+}