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use generic_array::GenericArray; use digest::{FixedOutput, Update}; use core::marker::PhantomData; use crate::{ line::{Array, LineValid}, concat::Concat, elliptic::{Scalar, Curve}, }; pub trait Signature where Self: LineValid, { type Scalar: Scalar; type Curve: Curve<Scalar = Self::Scalar>; fn sign<M>(secret_key: &Self::Scalar, message: &M, seed: &Self::Scalar) -> Result<Self, ()> where M: AsRef<[u8]>; fn verify<M>(&self, public_key: &Self::Curve, message: &M) -> Result<(), ()> where M: AsRef<[u8]>; } #[derive(Debug, Clone)] pub struct Schnorr<C, D> where C: Curve, D: Default + Update + FixedOutput<OutputSize = <C::Scalar as LineValid>::Length>, Concat<Array<C::CoordinateLength>, C::Scalar>: LineValid, { r: Array<C::CoordinateLength>, s: C::Scalar, phantom_data: PhantomData<D>, } impl<C, D> LineValid for Schnorr<C, D> where C: Curve, D: Default + Update + FixedOutput<OutputSize = <C::Scalar as LineValid>::Length>, Concat<Array<C::CoordinateLength>, C::Scalar>: LineValid, { type Length = <Concat<Array<C::CoordinateLength>, C::Scalar> as LineValid>::Length; fn try_clone_array(a: &Array<Self::Length>) -> Result<Self, ()> { Concat::try_clone_array(a).map(|Concat(r, s)| Schnorr { r: r, s: s, phantom_data: PhantomData, }) } fn clone_line(&self) -> Array<Self::Length> { use generic_array::typenum::Unsigned; let mut x = GenericArray::default(); let m = <<C::Scalar as LineValid>::Length as Unsigned>::USIZE; x[..m].clone_from_slice(self.r.clone_line().as_ref()); x[m..].clone_from_slice(self.s.clone_line().as_ref()); x } } impl<C, D> Signature for Schnorr<C, D> where C: Curve, D: Default + Update + FixedOutput<OutputSize = <C::Scalar as LineValid>::Length>, Concat<Array<C::CoordinateLength>, C::Scalar>: LineValid, { type Scalar = C::Scalar; type Curve = C; fn sign<M>(secret_key: &Self::Scalar, message: &M, seed: &Self::Scalar) -> Result<Self, ()> where M: AsRef<[u8]>, { let d = secret_key; let k = seed; let q = C::base().exp_ec(k); let r = q.x_coordinate(); let h = D::default() .chain(r.clone_line()) .chain(message) .finalize_fixed(); let h = LineValid::try_clone_array(&h)?; let s = k.sub_ff(&(d.mul_ff(&h)?))?; Ok(Schnorr { r: r, s: s, phantom_data: PhantomData, }) } fn verify<M>(&self, public_key: &Self::Curve, message: &M) -> Result<(), ()> where M: AsRef<[u8]>, { let &Schnorr { r: ref r, s: ref s, .. } = self; let y = public_key; let h = D::default() .chain(r.clone_line()) .chain(message) .finalize_fixed(); let h = LineValid::try_clone_array(&h)?; let qk = y.exp_ec(&h).mul_ec(&C::base().exp_ec(&s)); if qk.x_coordinate().eq(r) { Ok(()) } else { Err(()) } } } #[cfg(all(test, feature = "curve25519-dalek"))] #[test] fn signature() { use curve25519_dalek::{edwards::EdwardsPoint, scalar::Scalar}; use generic_array::sequence::GenericSequence; let seed = Scalar::try_clone_array(&GenericArray::generate(|_| rand::random())).unwrap(); let sk = Scalar::try_clone_array(&GenericArray::generate(|_| rand::random())).unwrap(); let pk = EdwardsPoint::base().exp_ec(&sk); let message = [1, 2, 3, 4]; let signature = Schnorr::<EdwardsPoint, sha3::Sha3_256>::sign(&sk, &message, &seed).unwrap(); signature.verify(&pk, &message).unwrap(); }