use rand_core::{RngCore, CryptoRng}; use transcript::Transcript; use group::{ff::PrimeFieldBits, prime::PrimeGroup}; use multiexp::BatchVerifier; use crate::{Generators, cross_group::{DLEqError, aos::{Re, Aos}}}; #[cfg(feature = "serialize")] use std::io::{Read, Write}; #[cfg(feature = "serialize")] use crate::cross_group::read_point; pub(crate) enum BitSignature { ConciseLinear, EfficientLinear } impl BitSignature { pub(crate) const fn to_u8(&self) -> u8 { match self { BitSignature::ConciseLinear => 0, BitSignature::EfficientLinear => 1 } } pub(crate) const fn from(algorithm: u8) -> BitSignature { match algorithm { 0 => BitSignature::ConciseLinear, 1 => BitSignature::EfficientLinear, _ => panic!("Unknown algorithm") } } pub(crate) const fn bits(&self) -> usize { match self { BitSignature::ConciseLinear => 2, BitSignature::EfficientLinear => 1 } } pub(crate) const fn ring_len(&self) -> usize { 2_usize.pow(self.bits() as u32) } fn aos_form(&self) -> Re { match self { BitSignature::ConciseLinear => Re::e_default(), BitSignature::EfficientLinear => Re::R_default() } } } #[derive(Clone, PartialEq, Eq, Debug)] pub(crate) struct Bits< G0: PrimeGroup, G1: PrimeGroup, const SIGNATURE: u8, const RING_LEN: usize > { pub(crate) commitments: (G0, G1), signature: Aos } impl< G0: PrimeGroup, G1: PrimeGroup, const SIGNATURE: u8, const RING_LEN: usize > Bits where G0::Scalar: PrimeFieldBits, G1::Scalar: PrimeFieldBits { fn transcript(transcript: &mut T, i: usize, commitments: (G0, G1)) { transcript.domain_separate(b"bits"); transcript.append_message(b"group", &u16::try_from(i).unwrap().to_le_bytes()); transcript.append_message(b"commitment_0", commitments.0.to_bytes().as_ref()); transcript.append_message(b"commitment_1", commitments.1.to_bytes().as_ref()); } fn ring(pow_2: (G0, G1), commitments: (G0, G1)) -> Vec<(G0, G1)> { let mut res = vec![commitments; RING_LEN]; for i in 1 .. RING_LEN { res[i] = (res[i - 1].0 - pow_2.0, res[i - 1].1 - pow_2.1); } res } fn shift(pow_2: &mut (G0, G1)) { for _ in 0 .. BitSignature::from(SIGNATURE).bits() { pow_2.0 = pow_2.0.double(); pow_2.1 = pow_2.1.double(); } } pub(crate) fn prove( rng: &mut R, transcript: &mut T, generators: (Generators, Generators), i: usize, pow_2: &mut (G0, G1), bits: u8, blinding_key: (G0::Scalar, G1::Scalar) ) -> Self { let mut commitments = ( (generators.0.alt * blinding_key.0), (generators.1.alt * blinding_key.1) ); commitments.0 += pow_2.0 * G0::Scalar::from(bits.into()); commitments.1 += pow_2.1 * G1::Scalar::from(bits.into()); Self::transcript(transcript, i, commitments); let signature = Aos::prove( rng, transcript.clone(), generators, &Self::ring(*pow_2, commitments), usize::from(bits), blinding_key, BitSignature::from(SIGNATURE).aos_form() ); Self::shift(pow_2); Bits { commitments, signature } } pub(crate) fn verify( &self, rng: &mut R, transcript: &mut T, generators: (Generators, Generators), batch: &mut (BatchVerifier<(), G0>, BatchVerifier<(), G1>), i: usize, pow_2: &mut (G0, G1) ) -> Result<(), DLEqError> { Self::transcript(transcript, i, self.commitments); self.signature.verify( rng, transcript.clone(), generators, batch, &Self::ring(*pow_2, self.commitments) )?; Self::shift(pow_2); Ok(()) } #[cfg(feature = "serialize")] pub(crate) fn serialize(&self, w: &mut W) -> std::io::Result<()> { w.write_all(self.commitments.0.to_bytes().as_ref())?; w.write_all(self.commitments.1.to_bytes().as_ref())?; self.signature.serialize(w) } #[cfg(feature = "serialize")] pub(crate) fn deserialize(r: &mut R) -> std::io::Result { Ok(Bits { commitments: (read_point(r)?, read_point(r)?), signature: Aos::deserialize(r)? }) } }