def gen_keys(prv_key: Optional[PrvKey] = None,
ec: Curve = secp256k1) -> Tuple[int, Point]:
"Return a private/public (int, Point) key-pair."
if prv_key is None:
# q in the range [1, ec.n-1]
q = 1 + secrets.randbelow(ec.n - 1)
else:
q = int_from_prv_key(prv_key, ec)
QJ = _mult(q, ec.GJ, ec)
Q = ec.aff_from_jac(QJ)
return q, Q
def gen_keys_(prv_key: Optional[PrvKey] = None,
ec: Curve = secp256k1) -> Tuple[int, int, JacPoint]:
"Return a BIP340 private/public (int, JacPoint) key-pair."
if prv_key is None:
q = 1 + secrets.randbelow(ec.n - 1)
else:
q = int_from_prv_key(prv_key, ec)
QJ = _mult(q, ec.GJ, ec)
x_Q, y_Q = ec.aff_from_jac(QJ)
if y_Q % 2:
q = ec.n - q
QJ = ec.negate_jac(QJ)
return q, x_Q, QJ