use bc_rand::{RandomNumberGenerator, SecureRandomNumberGenerator};
use secp256k1::{
Keypair, Secp256k1, SecretKey, XOnlyPublicKey, schnorr::Signature,
};
use crate::{ECDSA_PRIVATE_KEY_SIZE, SCHNORR_PUBLIC_KEY_SIZE};
pub const SCHNORR_SIGNATURE_SIZE: usize = 64;
pub fn schnorr_sign(
ecdsa_private_key: &[u8; ECDSA_PRIVATE_KEY_SIZE],
message: impl AsRef<[u8]>,
) -> [u8; SCHNORR_SIGNATURE_SIZE] {
let mut rng = SecureRandomNumberGenerator;
schnorr_sign_using(ecdsa_private_key, message, &mut rng)
}
pub fn schnorr_sign_using(
ecdsa_private_key: &[u8; ECDSA_PRIVATE_KEY_SIZE],
message: impl AsRef<[u8]>,
rng: &mut dyn RandomNumberGenerator,
) -> [u8; SCHNORR_SIGNATURE_SIZE] {
let aux_rand: [u8; 32] = rng.random_data(32).try_into().unwrap();
schnorr_sign_with_aux_rand(ecdsa_private_key, message, &aux_rand)
}
pub fn schnorr_sign_with_aux_rand(
ecdsa_private_key: &[u8; ECDSA_PRIVATE_KEY_SIZE],
message: impl AsRef<[u8]>,
aux_rand: &[u8; 32],
) -> [u8; SCHNORR_SIGNATURE_SIZE] {
let secp = Secp256k1::new();
let sk = SecretKey::from_byte_array(*ecdsa_private_key)
.expect("32 bytes, within curve order");
let keypair = Keypair::from_secret_key(&secp, &sk);
let sig: Signature =
secp.sign_schnorr_with_aux_rand(message.as_ref(), &keypair, aux_rand);
sig.as_ref().to_vec().try_into().unwrap()
}
pub fn schnorr_verify(
schnorr_public_key: &[u8; SCHNORR_PUBLIC_KEY_SIZE],
schnorr_signature: &[u8; SCHNORR_SIGNATURE_SIZE],
message: impl AsRef<[u8]>,
) -> bool {
let secp = Secp256k1::new();
let sig = Signature::from_byte_array(*schnorr_signature);
let pk = XOnlyPublicKey::from_byte_array(*schnorr_public_key)
.expect("32 bytes, serialized according to the spec");
secp.verify_schnorr(&sig, message.as_ref(), &pk).is_ok()
}
#[cfg(test)]
mod tests {
use bc_rand::make_fake_random_number_generator;
use hex_literal::hex;
use crate::{
ecdsa_new_private_key_using, schnorr_public_key_from_private_key,
schnorr_sign_using, schnorr_sign_with_aux_rand, schnorr_verify,
};
#[test]
fn test_schnorr_sign() {
let mut rng = make_fake_random_number_generator();
let private_key = ecdsa_new_private_key_using(&mut rng);
assert_eq!(
&private_key,
&hex!(
"7eb559bbbf6cce2632cf9f194aeb50943de7e1cbad54dcfab27a42759f5e2fed"
)
);
let message = b"Hello World";
let sig = schnorr_sign_using(&private_key, message, &mut rng);
assert_eq!(sig.len(), 64);
assert_eq!(
sig,
hex!(
"8f6ec4edbe1a6d96edfc5f15e18e06a6e2559a3426c52d2c38fec17fe7e0cafc95177206d018662a279f2b571224cf07006939fc25d0cae7a7e7b44a4b25f543"
)
);
let schnorr_public_key =
schnorr_public_key_from_private_key(&private_key);
assert!(schnorr_verify(&schnorr_public_key, &sig, message));
}
struct TestVector {
secret_key: Option<[u8; 32]>,
public_key: [u8; 32],
aux_rand: Option<[u8; 32]>,
message: Vec<u8>,
signature: [u8; 64],
verifies: bool,
}
fn run_test_vector(test: TestVector) {
if let (Some(secret_key), Some(aux_rand)) =
(test.secret_key, test.aux_rand)
{
let actual_public_key =
schnorr_public_key_from_private_key(&secret_key);
assert_eq!(&actual_public_key, &test.public_key);
let actual_signature = schnorr_sign_with_aux_rand(
&secret_key,
&test.message,
&aux_rand,
);
assert_eq!(&actual_signature, &test.signature);
}
let verified =
schnorr_verify(&test.public_key, &test.signature, &test.message);
assert_eq!(verified, test.verifies);
}
#[test]
fn test_0() {
run_test_vector(TestVector {
secret_key: Some(hex!("0000000000000000000000000000000000000000000000000000000000000003")),
public_key: hex!("F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9"),
aux_rand: Some(hex!("0000000000000000000000000000000000000000000000000000000000000000")),
message: hex!("0000000000000000000000000000000000000000000000000000000000000000").into(),
signature: hex!("E907831F80848D1069A5371B402410364BDF1C5F8307B0084C55F1CE2DCA821525F66A4A85EA8B71E482A74F382D2CE5EBEEE8FDB2172F477DF4900D310536C0"),
verifies: true,
});
}
#[test]
fn test_1() {
run_test_vector(TestVector {
secret_key: Some(hex!("B7E151628AED2A6ABF7158809CF4F3C762E7160F38B4DA56A784D9045190CFEF")),
public_key: hex!("DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659"),
aux_rand: Some(hex!("0000000000000000000000000000000000000000000000000000000000000001")),
message: hex!("243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89").into(),
signature: hex!("6896BD60EEAE296DB48A229FF71DFE071BDE413E6D43F917DC8DCF8C78DE33418906D11AC976ABCCB20B091292BFF4EA897EFCB639EA871CFA95F6DE339E4B0A"),
verifies: true,
});
}
#[test]
fn test_2() {
run_test_vector(TestVector {
secret_key: Some(hex!("C90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B14E5C9")),
public_key: hex!("DD308AFEC5777E13121FA72B9CC1B7CC0139715309B086C960E18FD969774EB8"),
aux_rand: Some(hex!("C87AA53824B4D7AE2EB035A2B5BBBCCC080E76CDC6D1692C4B0B62D798E6D906")),
message: hex!("7E2D58D8B3BCDF1ABADEC7829054F90DDA9805AAB56C77333024B9D0A508B75C").into(),
signature: hex!("5831AAEED7B44BB74E5EAB94BA9D4294C49BCF2A60728D8B4C200F50DD313C1BAB745879A5AD954A72C45A91C3A51D3C7ADEA98D82F8481E0E1E03674A6F3FB7"),
verifies: true,
});
}
#[test]
fn test_3() {
run_test_vector(TestVector {
secret_key: Some(hex!("0B432B2677937381AEF05BB02A66ECD012773062CF3FA2549E44F58ED2401710")),
public_key: hex!("25D1DFF95105F5253C4022F628A996AD3A0D95FBF21D468A1B33F8C160D8F517"),
aux_rand: Some(hex!("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF")),
message: hex!("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF").into(),
signature: hex!("7EB0509757E246F19449885651611CB965ECC1A187DD51B64FDA1EDC9637D5EC97582B9CB13DB3933705B32BA982AF5AF25FD78881EBB32771FC5922EFC66EA3"),
verifies: true,
});
}
#[test]
fn test_4() {
run_test_vector(TestVector {
secret_key: None,
public_key: hex!("D69C3509BB99E412E68B0FE8544E72837DFA30746D8BE2AA65975F29D22DC7B9"),
aux_rand: None,
message: hex!("4DF3C3F68FCC83B27E9D42C90431A72499F17875C81A599B566C9889B9696703").into(),
signature: hex!("00000000000000000000003B78CE563F89A0ED9414F5AA28AD0D96D6795F9C6376AFB1548AF603B3EB45C9F8207DEE1060CB71C04E80F593060B07D28308D7F4"),
verifies: true,
});
}
#[test]
#[should_panic] fn test_5() {
run_test_vector(TestVector {
secret_key: None,
public_key: hex!("EEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A34"),
aux_rand: None,
message: hex!("243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89").into(),
signature: hex!("6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E17776969E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B"),
verifies: false,
});
}
#[test]
fn test_6() {
run_test_vector(TestVector {
secret_key: None,
public_key: hex!("DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659"),
aux_rand: None,
message: hex!("243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89").into(),
signature: hex!("FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A14602975563CC27944640AC607CD107AE10923D9EF7A73C643E166BE5EBEAFA34B1AC553E2"),
verifies: false, });
}
#[test]
fn test_7() {
run_test_vector(TestVector {
secret_key: None,
public_key: hex!("DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659"),
aux_rand: None,
message: hex!("243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89").into(),
signature: hex!("1FA62E331EDBC21C394792D2AB1100A7B432B013DF3F6FF4F99FCB33E0E1515F28890B3EDB6E7189B630448B515CE4F8622A954CFE545735AAEA5134FCCDB2BD"),
verifies: false, });
}
#[test]
fn test_8() {
run_test_vector(TestVector {
secret_key: None,
public_key: hex!("DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659"),
aux_rand: None,
message: hex!("243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89").into(),
signature: hex!("6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E177769961764B3AA9B2FFCB6EF947B6887A226E8D7C93E00C5ED0C1834FF0D0C2E6DA6"),
verifies: false, });
}
#[test]
fn test_9() {
run_test_vector(TestVector {
secret_key: None,
public_key: hex!("DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659"),
aux_rand: None,
message: hex!("243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89").into(),
signature: hex!("0000000000000000000000000000000000000000000000000000000000000000123DDA8328AF9C23A94C1FEECFD123BA4FB73476F0D594DCB65C6425BD186051"),
verifies: false, });
}
#[test]
fn test_10() {
run_test_vector(TestVector {
secret_key: None,
public_key: hex!("DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659"),
aux_rand: None,
message: hex!("243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89").into(),
signature: hex!("00000000000000000000000000000000000000000000000000000000000000017615FBAF5AE28864013C099742DEADB4DBA87F11AC6754F93780D5A1837CF197"),
verifies: false, });
}
#[test]
fn test_11() {
run_test_vector(TestVector {
secret_key: None,
public_key: hex!("DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659"),
aux_rand: None,
message: hex!("243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89").into(),
signature: hex!("4A298DACAE57395A15D0795DDBFD1DCB564DA82B0F269BC70A74F8220429BA1D69E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B"),
verifies: false, });
}
#[test]
fn test_12() {
run_test_vector(TestVector {
secret_key: None,
public_key: hex!("DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659"),
aux_rand: None,
message: hex!("243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89").into(),
signature: hex!("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F69E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B"),
verifies: false, });
}
#[test]
fn test_13() {
run_test_vector(TestVector {
secret_key: None,
public_key: hex!("DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659"),
aux_rand: None,
message: hex!("243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89").into(),
signature: hex!("6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E177769FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141"),
verifies: false, });
}
#[test]
#[should_panic] fn test_14() {
run_test_vector(TestVector {
secret_key: None,
public_key: hex!("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC30"),
aux_rand: None,
message: hex!("243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89").into(),
signature: hex!("6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E17776969E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B"),
verifies: false,
});
}
#[test]
fn test_15() {
run_test_vector(TestVector {
secret_key: Some(hex!(
"0340034003400340034003400340034003400340034003400340034003400340"
)),
public_key: hex!(
"778CAA53B4393AC467774D09497A87224BF9FAB6F6E68B23086497324D6FD117"
),
aux_rand: Some(hex!(
"0000000000000000000000000000000000000000000000000000000000000000"
)),
message: hex!("").into(),
signature: hex!(
"71535DB165ECD9FBBC046E5FFAEA61186BB6AD436732FCCC25291A55895464CF6069CE26BF03466228F19A3A62DB8A649F2D560FAC652827D1AF0574E427AB63"
),
verifies: true,
});
}
#[test]
fn test_16() {
run_test_vector(TestVector {
secret_key: Some(hex!(
"0340034003400340034003400340034003400340034003400340034003400340"
)),
public_key: hex!(
"778CAA53B4393AC467774D09497A87224BF9FAB6F6E68B23086497324D6FD117"
),
aux_rand: Some(hex!(
"0000000000000000000000000000000000000000000000000000000000000000"
)),
message: hex!("11").into(),
signature: hex!(
"08A20A0AFEF64124649232E0693C583AB1B9934AE63B4C3511F3AE1134C6A303EA3173BFEA6683BD101FA5AA5DBC1996FE7CACFC5A577D33EC14564CEC2BACBF"
),
verifies: true,
});
}
#[test]
fn test_17() {
run_test_vector(TestVector {
secret_key: Some(hex!(
"0340034003400340034003400340034003400340034003400340034003400340"
)),
public_key: hex!(
"778CAA53B4393AC467774D09497A87224BF9FAB6F6E68B23086497324D6FD117"
),
aux_rand: Some(hex!(
"0000000000000000000000000000000000000000000000000000000000000000"
)),
message: hex!("0102030405060708090A0B0C0D0E0F1011").into(),
signature: hex!(
"5130F39A4059B43BC7CAC09A19ECE52B5D8699D1A71E3C52DA9AFDB6B50AC370C4A482B77BF960F8681540E25B6771ECE1E5A37FD80E5A51897C5566A97EA5A5"
),
verifies: true,
});
}
#[test]
fn test_18() {
run_test_vector(TestVector {
secret_key: Some(hex!("0340034003400340034003400340034003400340034003400340034003400340")),
public_key: hex!("778CAA53B4393AC467774D09497A87224BF9FAB6F6E68B23086497324D6FD117"),
aux_rand: Some(hex!("0000000000000000000000000000000000000000000000000000000000000000")),
message: hex!("99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999").into(),
signature: hex!("403B12B0D8555A344175EA7EC746566303321E5DBFA8BE6F091635163ECA79A8585ED3E3170807E7C03B720FC54C7B23897FCBA0E9D0B4A06894CFD249F22367"),
verifies: true,
});
}
#[test]
fn test_verify_tweaked() {
let message = b"message";
let public_key = hex!(
"b1ca6327b48b3f2f11c80b460aeff6934cbf1705083792108be9545b53818472"
);
let signature = hex!(
"cddfdf12ffa1698b2fa7449bd6aa4581cdab05205864cddaba1a137a1db132ea2f4255a81199c58241087036f5b66ec4303409cd7d760039729f78f19db004dc"
);
let verified = schnorr_verify(&public_key, &signature, message);
println!("verified: {:?}", verified);
}
}