acvm_blackbox_solver 0.46.0

A solver for the blackbox functions found in ACIR and Brillig
Documentation
use p256::elliptic_curve::sec1::FromEncodedPoint;
use p256::elliptic_curve::PrimeField;

use blake2::digest::generic_array::GenericArray;
use p256::{ecdsa::Signature, Scalar};
use p256::{
    elliptic_curve::{
        sec1::{Coordinates, ToEncodedPoint},
        IsHigh,
    },
    AffinePoint, EncodedPoint, ProjectivePoint, PublicKey,
};

pub(super) fn verify_signature(
    hashed_msg: &[u8],
    public_key_x_bytes: &[u8; 32],
    public_key_y_bytes: &[u8; 32],
    signature: &[u8; 64],
) -> bool {
    // Convert the inputs into k256 data structures
    let Ok(signature) = Signature::try_from(signature.as_slice()) else {
        // Signature `r` and `s` are forbidden from being zero.
        return false;
    };

    let point = EncodedPoint::from_affine_coordinates(
        public_key_x_bytes.into(),
        public_key_y_bytes.into(),
        true,
    );

    let pubkey = PublicKey::from_encoded_point(&point);
    let pubkey = if pubkey.is_some().into() {
        pubkey.unwrap()
    } else {
        // Public key must sit on the Secp256r1 curve.
        return false;
    };

    // Note: This is incorrect as it will panic if `hashed_msg >= p256::NistP256::ORDER`.
    // In this scenario we should just take the leftmost bits from `hashed_msg` up to the group order length.
    let z = Scalar::from_repr(*GenericArray::from_slice(hashed_msg)).unwrap();

    // Finished converting bytes into data structures

    let r = signature.r();
    let s = signature.s();

    // Ensure signature is "low S" normalized ala BIP 0062
    if s.is_high().into() {
        return false;
    }

    let s_inv = s.invert().unwrap();
    let u1 = z * s_inv;
    let u2 = *r * s_inv;

    #[allow(non_snake_case)]
    let R: AffinePoint = ((ProjectivePoint::GENERATOR * u1)
        + (ProjectivePoint::from(*pubkey.as_affine()) * u2))
        .to_affine();

    match R.to_encoded_point(false).coordinates() {
        Coordinates::Uncompressed { x, y: _ } => Scalar::from_repr(*x).unwrap().eq(&r),
        _ => unreachable!("Point is uncompressed"),
    }
}

#[cfg(test)]
mod secp256r1_tests {
    use super::verify_signature;

    // 0x54705ba3baafdbdfba8c5f9a70f7a89bee98d906b53e31074da7baecdc0da9ad
    const HASHED_MESSAGE: [u8; 32] = [
        84, 112, 91, 163, 186, 175, 219, 223, 186, 140, 95, 154, 112, 247, 168, 155, 238, 152, 217,
        6, 181, 62, 49, 7, 77, 167, 186, 236, 220, 13, 169, 173,
    ];
    // 0x550f471003f3df97c3df506ac797f6721fb1a1fb7b8f6f83d224498a65c88e24
    const PUB_KEY_X: [u8; 32] = [
        85, 15, 71, 16, 3, 243, 223, 151, 195, 223, 80, 106, 199, 151, 246, 114, 31, 177, 161, 251,
        123, 143, 111, 131, 210, 36, 73, 138, 101, 200, 142, 36,
    ];
    // 0x136093d7012e509a73715cbd0b00a3cc0ff4b5c01b3ffa196ab1fb327036b8e6
    const PUB_KEY_Y: [u8; 32] = [
        19, 96, 147, 215, 1, 46, 80, 154, 115, 113, 92, 189, 11, 0, 163, 204, 15, 244, 181, 192,
        27, 63, 250, 25, 106, 177, 251, 50, 112, 54, 184, 230,
    ];
    // 0x2c70a8d084b62bfc5ce03641caf9f72ad4da8c81bfe6ec9487bb5e1bef62a13218ad9ee29eaf351fdc50f1520c425e9b908a07278b43b0ec7b872778c14e0784
    const SIGNATURE: [u8; 64] = [
        44, 112, 168, 208, 132, 182, 43, 252, 92, 224, 54, 65, 202, 249, 247, 42, 212, 218, 140,
        129, 191, 230, 236, 148, 135, 187, 94, 27, 239, 98, 161, 50, 24, 173, 158, 226, 158, 175,
        53, 31, 220, 80, 241, 82, 12, 66, 94, 155, 144, 138, 7, 39, 139, 67, 176, 236, 123, 135,
        39, 120, 193, 78, 7, 132,
    ];

    #[test]
    fn verifies_valid_signature_with_low_s_value() {
        let valid = verify_signature(&HASHED_MESSAGE, &PUB_KEY_X, &PUB_KEY_Y, &SIGNATURE);

        assert!(valid);
    }

    #[test]
    fn rejects_invalid_signature() {
        // This signature is invalid as ECDSA specifies that `r` and `s` must be non-zero.
        let invalid_signature: [u8; 64] = [0x00; 64];

        let valid = verify_signature(&HASHED_MESSAGE, &PUB_KEY_X, &PUB_KEY_Y, &invalid_signature);
        assert!(!valid);
    }

    #[test]
    fn rejects_invalid_public_key() {
        let invalid_pub_key_x: [u8; 32] = [0xff; 32];
        let invalid_pub_key_y: [u8; 32] = [0xff; 32];

        let valid =
            verify_signature(&HASHED_MESSAGE, &invalid_pub_key_x, &invalid_pub_key_y, &SIGNATURE);

        assert!(!valid);
    }

    #[test]
    #[ignore = "ECDSA verification does not currently handle long hashes correctly"]
    fn trims_overly_long_hashes_to_correct_length() {
        let mut long_hashed_message = HASHED_MESSAGE.to_vec();
        long_hashed_message.push(0xff);

        let valid = verify_signature(&long_hashed_message, &PUB_KEY_X, &PUB_KEY_Y, &SIGNATURE);

        assert!(valid);
    }
}