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use crate::field::Field; use crate::group::{Affine, Jacobian}; use crate::scalar::Scalar; use crate::ecmult::{ECMultContext, ECMultGenContext}; use crate::Error; const P_MINUS_ORDER: Field = field_const!( 0, 0, 0, 1, 0x45512319, 0x50B75FC4, 0x402DA172, 0x2FC9BAEE ); const ORDER_AS_FE: Field = field_const!( 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xBAAEDCE6, 0xAF48A03B, 0xBFD25E8C, 0xD0364141 ); impl ECMultContext { pub fn verify_raw( &self, sigr: &Scalar, sigs: &Scalar, pubkey: &Affine, message: &Scalar ) -> bool { let c; let (sn, u1, u2): (Scalar, Scalar, Scalar); if sigr.is_zero() || sigs.is_zero() { return false; } sn = sigs.inv_var(); u1 = &sn * message; u2 = &sn * sigr; let mut pubkeyj: Jacobian = Jacobian::default(); pubkeyj.set_ge(pubkey); let mut pr: Jacobian = Jacobian::default(); self.ecmult(&mut pr, &pubkeyj, &u2, &u1); if pr.is_infinity() { return false; } c = sigr.b32(); let mut xr: Field = Default::default(); let _ = xr.set_b32(&c); if pr.eq_x_var(&xr) { return true; } if xr >= P_MINUS_ORDER { return false; } xr += ORDER_AS_FE; if pr.eq_x_var(&xr) { return true; } return false; } pub fn recover_raw( &self, sigr: &Scalar, sigs: &Scalar, rec_id: u8, message: &Scalar ) -> Result<Affine, Error> { debug_assert!(rec_id < 4); if sigr.is_zero() || sigs.is_zero() { return Err(Error::InvalidSignature); } let brx = sigr.b32(); let mut fx = Field::default(); let overflow = fx.set_b32(&brx); debug_assert!(overflow); if rec_id & 2 > 0 { if fx >= P_MINUS_ORDER { return Err(Error::InvalidSignature); } fx += ORDER_AS_FE; } let mut x = Affine::default(); if !x.set_xo_var(&fx, rec_id & 1 > 0) { return Err(Error::InvalidSignature); } let mut xj = Jacobian::default(); xj.set_ge(&x); let rn = sigr.inv(); let mut u1 = &rn * message; u1 = -u1; let u2 = &rn * sigs; let mut qj = Jacobian::default(); self.ecmult(&mut qj, &xj, &u2, &u1); let mut pubkey = Affine::default(); pubkey.set_gej_var(&qj); if pubkey.is_infinity() { return Err(Error::InvalidSignature); } else { return Ok(pubkey); } } } impl ECMultGenContext { pub fn sign_raw(&self, seckey: &Scalar, message: &Scalar, nonce: &Scalar) -> Result<(Scalar, Scalar, u8), Error> { let mut rp = Jacobian::default(); self.ecmult_gen(&mut rp, nonce); let mut r = Affine::default(); r.set_gej(&rp); r.x.normalize(); r.y.normalize(); let b = r.x.b32(); let mut sigr = Scalar::default(); let overflow = bool::from(sigr.set_b32(&b)); debug_assert!(!sigr.is_zero()); debug_assert!(!overflow); let mut recid = (if overflow { 2 } else { 0 }) | (if r.y.is_odd() { 1 } else { 0 }); let mut n = &sigr * seckey; n += message; let mut sigs = nonce.inv(); sigs *= &n; n.clear(); rp.clear(); r.clear(); if sigs.is_zero() { return Err(Error::InvalidMessage); } if sigs.is_high() { sigs = -sigs; recid = recid ^ 1; } return Ok((sigr, sigs, recid)); } }