use std_shims::{vec, vec::Vec};
use rand_core::{RngCore, CryptoRng};
use zeroize::{Zeroize, ZeroizeOnDrop, Zeroizing};
use curve25519_dalek::{traits::Identity, scalar::Scalar, edwards::EdwardsPoint};
use monero_primitives::{INV_EIGHT, Commitment, keccak256_to_scalar};
use crate::{
batch_verifier::BulletproofsPlusBatchVerifier,
core::{MAX_COMMITMENTS, COMMITMENT_BITS, multiexp, multiexp_vartime},
plus::{
ScalarVector, PointVector, GeneratorsList, BpPlusGenerators,
transcript::*,
weighted_inner_product::{WipStatement, WipWitness, WipProof},
padded_pow_of_2, u64_decompose,
},
};
#[derive(Clone, Debug)]
pub(crate) struct AggregateRangeStatement<'a> {
generators: BpPlusGenerators,
V: &'a [EdwardsPoint],
}
#[derive(Clone, Debug, Zeroize, ZeroizeOnDrop)]
pub(crate) struct AggregateRangeWitness(Vec<Commitment>);
impl AggregateRangeWitness {
pub(crate) fn new(commitments: Vec<Commitment>) -> Option<Self> {
if commitments.is_empty() || (commitments.len() > MAX_COMMITMENTS) {
return None;
}
Some(AggregateRangeWitness(commitments))
}
}
#[doc(hidden)]
#[derive(Clone, PartialEq, Eq, Debug, Zeroize)]
pub struct AggregateRangeProof {
pub(crate) A: EdwardsPoint,
pub(crate) wip: WipProof,
}
struct AHatComputation {
y: Scalar,
d_descending_y_plus_z: ScalarVector,
y_mn_plus_one: Scalar,
z: Scalar,
z_pow: ScalarVector,
A_hat: EdwardsPoint,
}
impl<'a> AggregateRangeStatement<'a> {
pub(crate) fn new(V: &'a [EdwardsPoint]) -> Option<Self> {
if V.is_empty() || (V.len() > MAX_COMMITMENTS) {
return None;
}
Some(Self { generators: BpPlusGenerators::new(), V })
}
fn transcript_A(transcript: &mut Scalar, A: EdwardsPoint) -> (Scalar, Scalar) {
let y = keccak256_to_scalar(
[transcript.to_bytes().as_ref(), A.compress().to_bytes().as_ref()].concat(),
);
let z = keccak256_to_scalar(y.to_bytes().as_ref());
*transcript = z;
(y, z)
}
fn d_j(j: usize, m: usize) -> ScalarVector {
let mut d_j = Vec::with_capacity(m * COMMITMENT_BITS);
for _ in 0 .. (j - 1) * COMMITMENT_BITS {
d_j.push(Scalar::ZERO);
}
d_j.append(&mut ScalarVector::powers(Scalar::from(2u8), COMMITMENT_BITS).0);
for _ in 0 .. (m - j) * COMMITMENT_BITS {
d_j.push(Scalar::ZERO);
}
ScalarVector(d_j)
}
fn compute_A_hat(
mut V: PointVector,
generators: &BpPlusGenerators,
transcript: &mut Scalar,
mut A: EdwardsPoint,
) -> AHatComputation {
let (y, z) = Self::transcript_A(transcript, A);
A = A.mul_by_cofactor();
while V.len() < padded_pow_of_2(V.len()) {
V.0.push(EdwardsPoint::identity());
}
let mn = V.len() * COMMITMENT_BITS;
let mut z_pow = Vec::with_capacity(V.len());
z_pow.push(z * z);
let mut d = ScalarVector::new(mn);
for j in 1 ..= V.len() {
z_pow.push(*z_pow.last().unwrap() * z_pow[0]);
d = d + &(Self::d_j(j, V.len()) * (z_pow[j - 1]));
}
let mut ascending_y = ScalarVector(vec![y]);
for i in 1 .. d.len() {
ascending_y.0.push(ascending_y[i - 1] * y);
}
let y_pows = ascending_y.clone().sum();
let mut descending_y = ascending_y.clone();
descending_y.0.reverse();
let d_descending_y = d.clone() * &descending_y;
let d_descending_y_plus_z = d_descending_y + z;
let y_mn_plus_one = descending_y[0] * y;
let mut commitment_accum = EdwardsPoint::identity();
for (j, commitment) in V.0.iter().enumerate() {
commitment_accum += *commitment * z_pow[j];
}
let neg_z = -z;
let mut A_terms = Vec::with_capacity((generators.len() * 2) + 2);
for (i, d_y_z) in d_descending_y_plus_z.0.iter().enumerate() {
A_terms.push((neg_z, generators.generator(GeneratorsList::GBold, i)));
A_terms.push((*d_y_z, generators.generator(GeneratorsList::HBold, i)));
}
A_terms.push((y_mn_plus_one, commitment_accum));
A_terms.push((
((y_pows * z) - (d.sum() * y_mn_plus_one * z) - (y_pows * (z * z))),
BpPlusGenerators::g(),
));
AHatComputation {
y,
d_descending_y_plus_z,
y_mn_plus_one,
z,
z_pow: ScalarVector(z_pow),
A_hat: A + multiexp_vartime(&A_terms),
}
}
pub(crate) fn prove<R: RngCore + CryptoRng>(
self,
rng: &mut R,
witness: &AggregateRangeWitness,
) -> Option<AggregateRangeProof> {
if self.V.len() != witness.0.len() {
return None;
}
for (commitment, witness) in self.V.iter().zip(witness.0.iter()) {
if witness.calculate() != *commitment {
return None;
}
}
let Self { generators, V } = self;
let V = V.iter().map(|V| V * INV_EIGHT()).collect::<Vec<_>>();
let mut transcript = initial_transcript(V.iter());
let mut V = V.iter().map(EdwardsPoint::mul_by_cofactor).collect::<Vec<_>>();
while V.len() < padded_pow_of_2(V.len()) {
V.push(EdwardsPoint::identity());
}
let generators = generators.reduce(V.len() * COMMITMENT_BITS);
let mut d_js = Vec::with_capacity(V.len());
let mut a_l = ScalarVector(Vec::with_capacity(V.len() * COMMITMENT_BITS));
for j in 1 ..= V.len() {
d_js.push(Self::d_j(j, V.len()));
#[allow(clippy::map_unwrap_or)]
a_l.0.append(
&mut u64_decompose(
*witness.0.get(j - 1).map(|commitment| &commitment.amount).unwrap_or(&0),
)
.0,
);
}
let a_r = a_l.clone() - Scalar::ONE;
let alpha = Scalar::random(&mut *rng);
let mut A_terms = Vec::with_capacity((generators.len() * 2) + 1);
for (i, a_l) in a_l.0.iter().enumerate() {
A_terms.push((*a_l, generators.generator(GeneratorsList::GBold, i)));
}
for (i, a_r) in a_r.0.iter().enumerate() {
A_terms.push((*a_r, generators.generator(GeneratorsList::HBold, i)));
}
A_terms.push((alpha, BpPlusGenerators::h()));
let mut A = multiexp(&A_terms);
A_terms.zeroize();
A *= INV_EIGHT();
let AHatComputation { y, d_descending_y_plus_z, y_mn_plus_one, z, z_pow, A_hat } =
Self::compute_A_hat(PointVector(V), &generators, &mut transcript, A);
let a_l = a_l - z;
let a_r = a_r + &d_descending_y_plus_z;
let mut alpha = alpha;
for j in 1 ..= witness.0.len() {
alpha += z_pow[j - 1] * witness.0[j - 1].mask * y_mn_plus_one;
}
Some(AggregateRangeProof {
A,
wip: WipStatement::new(generators, A_hat, y)
.prove(rng, transcript, &Zeroizing::new(WipWitness::new(a_l, a_r, alpha).unwrap()))
.unwrap(),
})
}
pub(crate) fn verify<R: RngCore + CryptoRng>(
self,
rng: &mut R,
verifier: &mut BulletproofsPlusBatchVerifier,
proof: AggregateRangeProof,
) -> bool {
let Self { generators, V } = self;
let V = V.iter().map(|V| V * INV_EIGHT()).collect::<Vec<_>>();
let mut transcript = initial_transcript(V.iter());
let V = V.iter().map(EdwardsPoint::mul_by_cofactor).collect::<Vec<_>>();
let generators = generators.reduce(V.len() * COMMITMENT_BITS);
let AHatComputation { y, A_hat, .. } =
Self::compute_A_hat(PointVector(V), &generators, &mut transcript, proof.A);
WipStatement::new(generators, A_hat, y).verify(rng, verifier, transcript, proof.wip)
}
}