Redo the Bulletproofs impl

Uses the IP-impl from the FCMP++ work.
This commit is contained in:
Luke Parker 2024-07-10 20:56:53 -04:00
parent 3ddf1eec0c
commit 7a68b065e0
No known key found for this signature in database
12 changed files with 794 additions and 431 deletions

View file

@ -20,6 +20,8 @@ pub use monero_generators::MAX_COMMITMENTS;
use monero_primitives::Commitment; use monero_primitives::Commitment;
pub(crate) mod scalar_vector; pub(crate) mod scalar_vector;
pub(crate) mod point_vector;
pub(crate) mod core; pub(crate) mod core;
use crate::core::LOG_COMMITMENT_BITS; use crate::core::LOG_COMMITMENT_BITS;
@ -28,10 +30,16 @@ use batch_verifier::{BulletproofsBatchVerifier, BulletproofsPlusBatchVerifier};
pub use batch_verifier::BatchVerifier; pub use batch_verifier::BatchVerifier;
pub(crate) mod original; pub(crate) mod original;
use crate::original::OriginalStruct; use crate::original::{
IpProof, AggregateRangeStatement as OriginalStatement, AggregateRangeWitness as OriginalWitness,
AggregateRangeProof as OriginalProof,
};
pub(crate) mod plus; pub(crate) mod plus;
use crate::plus::*; use crate::plus::{
WipProof, AggregateRangeStatement as PlusStatement, AggregateRangeWitness as PlusWitness,
AggregateRangeProof as PlusProof,
};
#[cfg(test)] #[cfg(test)]
mod tests; mod tests;
@ -55,9 +63,9 @@ pub enum BulletproofError {
#[derive(Clone, PartialEq, Eq, Debug)] #[derive(Clone, PartialEq, Eq, Debug)]
pub enum Bulletproof { pub enum Bulletproof {
/// A Bulletproof. /// A Bulletproof.
Original(OriginalStruct), Original(OriginalProof),
/// A Bulletproof+. /// A Bulletproof+.
Plus(AggregateRangeProof), Plus(PlusProof),
} }
impl Bulletproof { impl Bulletproof {
@ -100,7 +108,7 @@ impl Bulletproof {
/// Prove the list of commitments are within [0 .. 2^64) with an aggregate Bulletproof. /// Prove the list of commitments are within [0 .. 2^64) with an aggregate Bulletproof.
pub fn prove<R: RngCore + CryptoRng>( pub fn prove<R: RngCore + CryptoRng>(
rng: &mut R, rng: &mut R,
outputs: &[Commitment], outputs: Vec<Commitment>,
) -> Result<Bulletproof, BulletproofError> { ) -> Result<Bulletproof, BulletproofError> {
if outputs.is_empty() { if outputs.is_empty() {
Err(BulletproofError::NoCommitments)?; Err(BulletproofError::NoCommitments)?;
@ -108,7 +116,13 @@ impl Bulletproof {
if outputs.len() > MAX_COMMITMENTS { if outputs.len() > MAX_COMMITMENTS {
Err(BulletproofError::TooManyCommitments)?; Err(BulletproofError::TooManyCommitments)?;
} }
Ok(Bulletproof::Original(OriginalStruct::prove(rng, outputs))) let commitments = outputs.iter().map(Commitment::calculate).collect::<Vec<_>>();
Ok(Bulletproof::Original(
OriginalStatement::new(&commitments)
.unwrap()
.prove(rng, OriginalWitness::new(outputs).unwrap())
.unwrap(),
))
} }
/// Prove the list of commitments are within [0 .. 2^64) with an aggregate Bulletproof+. /// Prove the list of commitments are within [0 .. 2^64) with an aggregate Bulletproof+.
@ -122,10 +136,11 @@ impl Bulletproof {
if outputs.len() > MAX_COMMITMENTS { if outputs.len() > MAX_COMMITMENTS {
Err(BulletproofError::TooManyCommitments)?; Err(BulletproofError::TooManyCommitments)?;
} }
let commitments = outputs.iter().map(Commitment::calculate).collect::<Vec<_>>();
Ok(Bulletproof::Plus( Ok(Bulletproof::Plus(
AggregateRangeStatement::new(outputs.iter().map(Commitment::calculate).collect()) PlusStatement::new(&commitments)
.unwrap() .unwrap()
.prove(rng, &Zeroizing::new(AggregateRangeWitness::new(outputs).unwrap())) .prove(rng, &Zeroizing::new(PlusWitness::new(outputs).unwrap()))
.unwrap(), .unwrap(),
)) ))
} }
@ -136,14 +151,17 @@ impl Bulletproof {
match self { match self {
Bulletproof::Original(bp) => { Bulletproof::Original(bp) => {
let mut verifier = BulletproofsBatchVerifier::default(); let mut verifier = BulletproofsBatchVerifier::default();
if !bp.verify(rng, &mut verifier, commitments) { let Some(statement) = OriginalStatement::new(commitments) else {
return false;
};
if !statement.verify(rng, &mut verifier, bp.clone()) {
return false; return false;
} }
verifier.verify() verifier.verify()
} }
Bulletproof::Plus(bp) => { Bulletproof::Plus(bp) => {
let mut verifier = BulletproofsPlusBatchVerifier::default(); let mut verifier = BulletproofsPlusBatchVerifier::default();
let Some(statement) = AggregateRangeStatement::new(commitments.to_vec()) else { let Some(statement) = PlusStatement::new(commitments) else {
return false; return false;
}; };
if !statement.verify(rng, &mut verifier, bp.clone()) { if !statement.verify(rng, &mut verifier, bp.clone()) {
@ -170,9 +188,14 @@ impl Bulletproof {
commitments: &[EdwardsPoint], commitments: &[EdwardsPoint],
) -> bool { ) -> bool {
match self { match self {
Bulletproof::Original(bp) => bp.verify(rng, &mut verifier.original, commitments), Bulletproof::Original(bp) => {
let Some(statement) = OriginalStatement::new(commitments) else {
return false;
};
statement.verify(rng, &mut verifier.original, bp.clone())
}
Bulletproof::Plus(bp) => { Bulletproof::Plus(bp) => {
let Some(statement) = AggregateRangeStatement::new(commitments.to_vec()) else { let Some(statement) = PlusStatement::new(commitments) else {
return false; return false;
}; };
statement.verify(rng, &mut verifier.plus, bp.clone()) statement.verify(rng, &mut verifier.plus, bp.clone())
@ -193,11 +216,11 @@ impl Bulletproof {
write_point(&bp.T2, w)?; write_point(&bp.T2, w)?;
write_scalar(&bp.tau_x, w)?; write_scalar(&bp.tau_x, w)?;
write_scalar(&bp.mu, w)?; write_scalar(&bp.mu, w)?;
specific_write_vec(&bp.L, w)?; specific_write_vec(&bp.ip.L, w)?;
specific_write_vec(&bp.R, w)?; specific_write_vec(&bp.ip.R, w)?;
write_scalar(&bp.a, w)?; write_scalar(&bp.ip.a, w)?;
write_scalar(&bp.b, w)?; write_scalar(&bp.ip.b, w)?;
write_scalar(&bp.t, w) write_scalar(&bp.t_hat, w)
} }
Bulletproof::Plus(bp) => { Bulletproof::Plus(bp) => {
@ -234,24 +257,26 @@ impl Bulletproof {
/// Read a Bulletproof. /// Read a Bulletproof.
pub fn read<R: Read>(r: &mut R) -> io::Result<Bulletproof> { pub fn read<R: Read>(r: &mut R) -> io::Result<Bulletproof> {
Ok(Bulletproof::Original(OriginalStruct { Ok(Bulletproof::Original(OriginalProof {
A: read_point(r)?, A: read_point(r)?,
S: read_point(r)?, S: read_point(r)?,
T1: read_point(r)?, T1: read_point(r)?,
T2: read_point(r)?, T2: read_point(r)?,
tau_x: read_scalar(r)?, tau_x: read_scalar(r)?,
mu: read_scalar(r)?, mu: read_scalar(r)?,
L: read_vec(read_point, r)?, ip: IpProof {
R: read_vec(read_point, r)?, L: read_vec(read_point, r)?,
a: read_scalar(r)?, R: read_vec(read_point, r)?,
b: read_scalar(r)?, a: read_scalar(r)?,
t: read_scalar(r)?, b: read_scalar(r)?,
},
t_hat: read_scalar(r)?,
})) }))
} }
/// Read a Bulletproof+. /// Read a Bulletproof+.
pub fn read_plus<R: Read>(r: &mut R) -> io::Result<Bulletproof> { pub fn read_plus<R: Read>(r: &mut R) -> io::Result<Bulletproof> {
Ok(Bulletproof::Plus(AggregateRangeProof { Ok(Bulletproof::Plus(PlusProof {
A: read_point(r)?, A: read_point(r)?,
wip: WipProof { wip: WipProof {
A: read_point(r)?, A: read_point(r)?,

View file

@ -0,0 +1,303 @@
use std_shims::{vec, vec::Vec};
use zeroize::Zeroize;
use curve25519_dalek::{Scalar, EdwardsPoint};
use monero_generators::H;
use monero_primitives::{INV_EIGHT, keccak256_to_scalar};
use crate::{
core::{multiexp_vartime, challenge_products},
scalar_vector::ScalarVector,
point_vector::PointVector,
BulletproofsBatchVerifier,
};
/// An error from proving/verifying Inner-Product statements.
#[derive(Clone, Copy, PartialEq, Eq, Debug)]
pub(crate) enum IpError {
IncorrectAmountOfGenerators,
DifferingLrLengths,
}
/// The Bulletproofs Inner-Product statement.
///
/// This is for usage with Protocol 2 from the Bulletproofs paper.
#[derive(Clone, Debug)]
pub(crate) struct IpStatement {
// Weights for h_bold
h_bold_weights: ScalarVector,
// u as the discrete logarithm of G
u: Scalar,
}
/// The witness for the Bulletproofs Inner-Product statement.
#[derive(Clone, Debug)]
pub(crate) struct IpWitness {
// a
a: ScalarVector,
// b
b: ScalarVector,
}
impl IpWitness {
/// Construct a new witness for an Inner-Product statement.
///
/// This functions return None if the lengths of a, b are mismatched, not a power of two, or are
/// empty.
pub(crate) fn new(a: ScalarVector, b: ScalarVector) -> Option<Self> {
if a.0.is_empty() || (a.len() != b.len()) {
None?;
}
let mut power_of_2 = 1;
while power_of_2 < a.len() {
power_of_2 <<= 1;
}
if power_of_2 != a.len() {
None?;
}
Some(Self { a, b })
}
}
/// A proof for the Bulletproofs Inner-Product statement.
#[derive(Clone, PartialEq, Eq, Debug, Zeroize)]
pub(crate) struct IpProof {
pub(crate) L: Vec<EdwardsPoint>,
pub(crate) R: Vec<EdwardsPoint>,
pub(crate) a: Scalar,
pub(crate) b: Scalar,
}
impl IpStatement {
/// Create a new Inner-Product statement which won't transcript P.
///
/// This MUST only be called when P is deterministic to already transcripted elements.
pub(crate) fn new_without_P_transcript(h_bold_weights: ScalarVector, u: Scalar) -> Self {
Self { h_bold_weights, u }
}
// Transcript a round of the protocol
fn transcript_L_R(transcript: Scalar, L: EdwardsPoint, R: EdwardsPoint) -> Scalar {
let mut transcript = transcript.to_bytes().to_vec();
transcript.extend(L.compress().to_bytes());
transcript.extend(R.compress().to_bytes());
keccak256_to_scalar(transcript)
}
/// Prove for this Inner-Product statement.
///
/// Returns an error if this statement couldn't be proven for (such as if the witness isn't
/// consistent).
pub(crate) fn prove(
self,
mut transcript: Scalar,
witness: IpWitness,
) -> Result<IpProof, IpError> {
let generators = crate::original::GENERATORS();
let g_bold_slice = &generators.G[.. witness.a.len()];
let h_bold_slice = &generators.H[.. witness.a.len()];
let (mut g_bold, mut h_bold, u, mut a, mut b) = {
let IpStatement { h_bold_weights, u } = self;
let u = H() * u;
// Ensure we have the exact amount of weights
if h_bold_weights.len() != g_bold_slice.len() {
Err(IpError::IncorrectAmountOfGenerators)?;
}
// Acquire a local copy of the generators
let g_bold = PointVector(g_bold_slice.to_vec());
let h_bold = PointVector(h_bold_slice.to_vec()).mul_vec(&h_bold_weights);
let IpWitness { a, b } = witness;
(g_bold, h_bold, u, a, b)
};
let mut L_vec = vec![];
let mut R_vec = vec![];
// `else: (n > 1)` case, lines 18-35 of the Bulletproofs paper
// This interprets `g_bold.len()` as `n`
while g_bold.len() > 1 {
// Split a, b, g_bold, h_bold as needed for lines 20-24
let (a1, a2) = a.clone().split();
let (b1, b2) = b.clone().split();
let (g_bold1, g_bold2) = g_bold.split();
let (h_bold1, h_bold2) = h_bold.split();
let n_hat = g_bold1.len();
// Sanity
debug_assert_eq!(a1.len(), n_hat);
debug_assert_eq!(a2.len(), n_hat);
debug_assert_eq!(b1.len(), n_hat);
debug_assert_eq!(b2.len(), n_hat);
debug_assert_eq!(g_bold1.len(), n_hat);
debug_assert_eq!(g_bold2.len(), n_hat);
debug_assert_eq!(h_bold1.len(), n_hat);
debug_assert_eq!(h_bold2.len(), n_hat);
// cl, cr, lines 21-22
let cl = a1.clone().inner_product(&b2);
let cr = a2.clone().inner_product(&b1);
let L = {
let mut L_terms = Vec::with_capacity(1 + (2 * g_bold1.len()));
for (a, g) in a1.0.iter().zip(g_bold2.0.iter()) {
L_terms.push((*a, *g));
}
for (b, h) in b2.0.iter().zip(h_bold1.0.iter()) {
L_terms.push((*b, *h));
}
L_terms.push((cl, u));
// Uses vartime since this isn't a ZK proof
multiexp_vartime(&L_terms)
};
L_vec.push(L * INV_EIGHT());
let R = {
let mut R_terms = Vec::with_capacity(1 + (2 * g_bold1.len()));
for (a, g) in a2.0.iter().zip(g_bold1.0.iter()) {
R_terms.push((*a, *g));
}
for (b, h) in b1.0.iter().zip(h_bold2.0.iter()) {
R_terms.push((*b, *h));
}
R_terms.push((cr, u));
multiexp_vartime(&R_terms)
};
R_vec.push(R * INV_EIGHT());
// Now that we've calculate L, R, transcript them to receive x (26-27)
transcript = Self::transcript_L_R(transcript, *L_vec.last().unwrap(), *R_vec.last().unwrap());
let x = transcript;
let x_inv = x.invert();
// The prover and verifier now calculate the following (28-31)
g_bold = PointVector(Vec::with_capacity(g_bold1.len()));
for (a, b) in g_bold1.0.into_iter().zip(g_bold2.0.into_iter()) {
g_bold.0.push(multiexp_vartime(&[(x_inv, a), (x, b)]));
}
h_bold = PointVector(Vec::with_capacity(h_bold1.len()));
for (a, b) in h_bold1.0.into_iter().zip(h_bold2.0.into_iter()) {
h_bold.0.push(multiexp_vartime(&[(x, a), (x_inv, b)]));
}
// 32-34
a = (a1 * x) + &(a2 * x_inv);
b = (b1 * x_inv) + &(b2 * x);
}
// `if n = 1` case from line 14-17
// Sanity
debug_assert_eq!(g_bold.len(), 1);
debug_assert_eq!(h_bold.len(), 1);
debug_assert_eq!(a.len(), 1);
debug_assert_eq!(b.len(), 1);
// We simply send a/b
Ok(IpProof { L: L_vec, R: R_vec, a: a[0], b: b[0] })
}
/// Queue an Inner-Product proof for batch verification.
///
/// This will return Err if there is an error. This will return Ok if the proof was successfully
/// queued for batch verification. The caller is required to verify the batch in order to ensure
/// the proof is actually correct.
pub(crate) fn verify(
self,
verifier: &mut BulletproofsBatchVerifier,
ip_rows: usize,
mut transcript: Scalar,
verifier_weight: Scalar,
proof: IpProof,
) -> Result<(), IpError> {
let generators = crate::original::GENERATORS();
let g_bold_slice = &generators.G[.. ip_rows];
let h_bold_slice = &generators.H[.. ip_rows];
let IpStatement { h_bold_weights, u } = self;
// Verify the L/R lengths
{
// Calculate the discrete log w.r.t. 2 for the amount of generators present
let mut lr_len = 0;
while (1 << lr_len) < g_bold_slice.len() {
lr_len += 1;
}
// This proof has less/more terms than the passed in generators are for
if proof.L.len() != lr_len {
Err(IpError::IncorrectAmountOfGenerators)?;
}
if proof.L.len() != proof.R.len() {
Err(IpError::DifferingLrLengths)?;
}
}
// Again, we start with the `else: (n > 1)` case
// We need x, x_inv per lines 25-27 for lines 28-31
let mut xs = Vec::with_capacity(proof.L.len());
for (L, R) in proof.L.iter().zip(proof.R.iter()) {
transcript = Self::transcript_L_R(transcript, *L, *R);
xs.push(transcript);
}
// We calculate their inverse in batch
let mut x_invs = xs.clone();
Scalar::batch_invert(&mut x_invs);
// Now, with x and x_inv, we need to calculate g_bold', h_bold', P'
//
// For the sake of performance, we solely want to calculate all of these in terms of scalings
// for g_bold, h_bold, P, and don't want to actually perform intermediary scalings of the
// points
//
// L and R are easy, as it's simply x**2, x**-2
//
// For the series of g_bold, h_bold, we use the `challenge_products` function
// For how that works, please see its own documentation
let product_cache = {
let mut challenges = Vec::with_capacity(proof.L.len());
let x_iter = xs.into_iter().zip(x_invs);
let lr_iter = proof.L.into_iter().zip(proof.R);
for ((x, x_inv), (L, R)) in x_iter.zip(lr_iter) {
challenges.push((x, x_inv));
verifier.0.other.push((verifier_weight * (x * x), L.mul_by_cofactor()));
verifier.0.other.push((verifier_weight * (x_inv * x_inv), R.mul_by_cofactor()));
}
challenge_products(&challenges)
};
// And now for the `if n = 1` case
let c = proof.a * proof.b;
// The multiexp of these terms equate to the final permutation of P
// We now add terms for a * g_bold' + b * h_bold' b + c * u, with the scalars negative such
// that the terms sum to 0 for an honest prover
// The g_bold * a term case from line 16
#[allow(clippy::needless_range_loop)]
for i in 0 .. g_bold_slice.len() {
verifier.0.g_bold[i] -= verifier_weight * product_cache[i] * proof.a;
}
// The h_bold * b term case from line 16
for i in 0 .. h_bold_slice.len() {
verifier.0.h_bold[i] -=
verifier_weight * product_cache[product_cache.len() - 1 - i] * proof.b * h_bold_weights[i];
}
// The c * u term case from line 16
verifier.0.h -= verifier_weight * c * u;
Ok(())
}
}

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@ -1,395 +1,344 @@
use std_shims::{vec, vec::Vec, sync::OnceLock}; use std_shims::{sync::OnceLock, vec::Vec};
use rand_core::{RngCore, CryptoRng}; use rand_core::{RngCore, CryptoRng};
use zeroize::Zeroize; use zeroize::Zeroize;
use subtle::{Choice, ConditionallySelectable};
use curve25519_dalek::{ use curve25519_dalek::{constants::ED25519_BASEPOINT_POINT, Scalar, EdwardsPoint};
constants::{ED25519_BASEPOINT_POINT, ED25519_BASEPOINT_TABLE},
scalar::Scalar,
edwards::EdwardsPoint,
};
use monero_generators::{H, Generators}; use monero_generators::{H, Generators, MAX_COMMITMENTS, COMMITMENT_BITS};
use monero_primitives::{INV_EIGHT, Commitment, keccak256_to_scalar}; use monero_primitives::{Commitment, INV_EIGHT, keccak256_to_scalar};
use crate::{core::multiexp, scalar_vector::ScalarVector, BulletproofsBatchVerifier};
use crate::{core::*, ScalarVector, batch_verifier::BulletproofsBatchVerifier}; pub(crate) mod inner_product;
use inner_product::*;
pub(crate) use inner_product::IpProof;
include!(concat!(env!("OUT_DIR"), "/generators.rs")); include!(concat!(env!("OUT_DIR"), "/generators.rs"));
static TWO_N_CELL: OnceLock<ScalarVector> = OnceLock::new(); #[derive(Clone, Debug)]
fn TWO_N() -> &'static ScalarVector { pub(crate) struct AggregateRangeStatement<'a> {
TWO_N_CELL.get_or_init(|| ScalarVector::powers(Scalar::from(2u8), COMMITMENT_BITS)) commitments: &'a [EdwardsPoint],
} }
static IP12_CELL: OnceLock<Scalar> = OnceLock::new(); #[derive(Clone, Debug)]
fn IP12() -> Scalar { pub(crate) struct AggregateRangeWitness {
*IP12_CELL.get_or_init(|| ScalarVector(vec![Scalar::ONE; COMMITMENT_BITS]).inner_product(TWO_N())) commitments: Vec<Commitment>,
} }
fn MN(outputs: usize) -> (usize, usize, usize) { #[derive(Clone, PartialEq, Eq, Debug, Zeroize)]
let mut logM = 0; pub struct AggregateRangeProof {
let mut M;
while {
M = 1 << logM;
(M <= MAX_COMMITMENTS) && (M < outputs)
} {
logM += 1;
}
(logM + LOG_COMMITMENT_BITS, M, M * COMMITMENT_BITS)
}
fn bit_decompose(commitments: &[Commitment]) -> (ScalarVector, ScalarVector) {
let (_, M, MN) = MN(commitments.len());
let sv = commitments.iter().map(|c| Scalar::from(c.amount)).collect::<Vec<_>>();
let mut aL = ScalarVector::new(MN);
let mut aR = ScalarVector::new(MN);
for j in 0 .. M {
for i in (0 .. COMMITMENT_BITS).rev() {
let bit =
if j < sv.len() { Choice::from((sv[j][i / 8] >> (i % 8)) & 1) } else { Choice::from(0) };
aL.0[(j * COMMITMENT_BITS) + i] =
Scalar::conditional_select(&Scalar::ZERO, &Scalar::ONE, bit);
aR.0[(j * COMMITMENT_BITS) + i] =
Scalar::conditional_select(&-Scalar::ONE, &Scalar::ZERO, bit);
}
}
(aL, aR)
}
fn hash_commitments<C: IntoIterator<Item = EdwardsPoint>>(
commitments: C,
) -> (Scalar, Vec<EdwardsPoint>) {
let V = commitments.into_iter().map(|c| c * INV_EIGHT()).collect::<Vec<_>>();
(keccak256_to_scalar(V.iter().flat_map(|V| V.compress().to_bytes()).collect::<Vec<_>>()), V)
}
fn alpha_rho<R: RngCore + CryptoRng>(
rng: &mut R,
generators: &Generators,
aL: &ScalarVector,
aR: &ScalarVector,
) -> (Scalar, EdwardsPoint) {
fn vector_exponent(generators: &Generators, a: &ScalarVector, b: &ScalarVector) -> EdwardsPoint {
debug_assert_eq!(a.len(), b.len());
(a * &generators.G[.. a.len()]) + (b * &generators.H[.. b.len()])
}
let ar = Scalar::random(rng);
(ar, (vector_exponent(generators, aL, aR) + (ED25519_BASEPOINT_TABLE * &ar)) * INV_EIGHT())
}
fn LR_statements(
a: &ScalarVector,
G_i: &[EdwardsPoint],
b: &ScalarVector,
H_i: &[EdwardsPoint],
cL: Scalar,
U: EdwardsPoint,
) -> Vec<(Scalar, EdwardsPoint)> {
let mut res = a
.0
.iter()
.copied()
.zip(G_i.iter().copied())
.chain(b.0.iter().copied().zip(H_i.iter().copied()))
.collect::<Vec<_>>();
res.push((cL, U));
res
}
fn hash_cache(cache: &mut Scalar, mash: &[[u8; 32]]) -> Scalar {
let slice =
&[cache.to_bytes().as_ref(), mash.iter().copied().flatten().collect::<Vec<_>>().as_ref()]
.concat();
*cache = keccak256_to_scalar(slice);
*cache
}
fn hadamard_fold(
l: &[EdwardsPoint],
r: &[EdwardsPoint],
a: Scalar,
b: Scalar,
) -> Vec<EdwardsPoint> {
let mut res = Vec::with_capacity(l.len() / 2);
for i in 0 .. l.len() {
res.push(multiexp(&[(a, l[i]), (b, r[i])]));
}
res
}
/// Internal structure representing a Bulletproof, as defined by Monero..
#[doc(hidden)]
#[derive(Clone, PartialEq, Eq, Debug)]
pub struct OriginalStruct {
pub(crate) A: EdwardsPoint, pub(crate) A: EdwardsPoint,
pub(crate) S: EdwardsPoint, pub(crate) S: EdwardsPoint,
pub(crate) T1: EdwardsPoint, pub(crate) T1: EdwardsPoint,
pub(crate) T2: EdwardsPoint, pub(crate) T2: EdwardsPoint,
pub(crate) tau_x: Scalar, pub(crate) tau_x: Scalar,
pub(crate) mu: Scalar, pub(crate) mu: Scalar,
pub(crate) L: Vec<EdwardsPoint>, pub(crate) t_hat: Scalar,
pub(crate) R: Vec<EdwardsPoint>, pub(crate) ip: IpProof,
pub(crate) a: Scalar,
pub(crate) b: Scalar,
pub(crate) t: Scalar,
} }
impl OriginalStruct { impl<'a> AggregateRangeStatement<'a> {
pub(crate) fn prove<R: RngCore + CryptoRng>( pub(crate) fn new(commitments: &'a [EdwardsPoint]) -> Option<Self> {
rng: &mut R, if commitments.is_empty() || (commitments.len() > MAX_COMMITMENTS) {
commitments: &[Commitment], None?;
) -> OriginalStruct {
let (logMN, M, MN) = MN(commitments.len());
let (aL, aR) = bit_decompose(commitments);
let commitments_points = commitments.iter().map(Commitment::calculate).collect::<Vec<_>>();
let (mut cache, _) = hash_commitments(commitments_points.clone());
let (sL, sR) =
ScalarVector((0 .. (MN * 2)).map(|_| Scalar::random(&mut *rng)).collect::<Vec<_>>()).split();
let generators = GENERATORS();
let (mut alpha, A) = alpha_rho(&mut *rng, generators, &aL, &aR);
let (mut rho, S) = alpha_rho(&mut *rng, generators, &sL, &sR);
let y = hash_cache(&mut cache, &[A.compress().to_bytes(), S.compress().to_bytes()]);
let mut cache = keccak256_to_scalar(y.to_bytes());
let z = cache;
let l0 = aL - z;
let l1 = sL;
let mut zero_twos = Vec::with_capacity(MN);
let zpow = ScalarVector::powers(z, M + 2);
for j in 0 .. M {
for i in 0 .. COMMITMENT_BITS {
zero_twos.push(zpow[j + 2] * TWO_N()[i]);
}
} }
Some(Self { commitments })
}
}
let yMN = ScalarVector::powers(y, MN); impl AggregateRangeWitness {
let r0 = ((aR + z) * &yMN) + &ScalarVector(zero_twos); pub(crate) fn new(commitments: Vec<Commitment>) -> Option<Self> {
let r1 = yMN * &sR; if commitments.is_empty() || (commitments.len() > MAX_COMMITMENTS) {
None?;
}
Some(Self { commitments })
}
}
let (T1, T2, x, mut tau_x) = { impl<'a> AggregateRangeStatement<'a> {
let t1 = l0.clone().inner_product(&r1) + r0.clone().inner_product(&l1); fn initial_transcript(&self) -> (Scalar, Vec<EdwardsPoint>) {
let t2 = l1.clone().inner_product(&r1); let V = self.commitments.iter().map(|c| c * INV_EIGHT()).collect::<Vec<_>>();
(keccak256_to_scalar(V.iter().flat_map(|V| V.compress().to_bytes()).collect::<Vec<_>>()), V)
}
let mut tau1 = Scalar::random(&mut *rng); fn transcript_A_S(transcript: Scalar, A: EdwardsPoint, S: EdwardsPoint) -> (Scalar, Scalar) {
let mut tau2 = Scalar::random(&mut *rng); let mut buf = Vec::with_capacity(96);
buf.extend(transcript.to_bytes());
buf.extend(A.compress().to_bytes());
buf.extend(S.compress().to_bytes());
let y = keccak256_to_scalar(buf);
let z = keccak256_to_scalar(y.to_bytes());
(y, z)
}
let T1 = multiexp(&[(t1, H()), (tau1, ED25519_BASEPOINT_POINT)]) * INV_EIGHT(); fn transcript_T12(transcript: Scalar, T1: EdwardsPoint, T2: EdwardsPoint) -> Scalar {
let T2 = multiexp(&[(t2, H()), (tau2, ED25519_BASEPOINT_POINT)]) * INV_EIGHT(); let mut buf = Vec::with_capacity(128);
buf.extend(transcript.to_bytes());
buf.extend(transcript.to_bytes());
buf.extend(T1.compress().to_bytes());
buf.extend(T2.compress().to_bytes());
keccak256_to_scalar(buf)
}
let x = fn transcript_tau_x_mu_t_hat(
hash_cache(&mut cache, &[z.to_bytes(), T1.compress().to_bytes(), T2.compress().to_bytes()]); transcript: Scalar,
tau_x: Scalar,
mu: Scalar,
t_hat: Scalar,
) -> Scalar {
let mut buf = Vec::with_capacity(128);
buf.extend(transcript.to_bytes());
buf.extend(transcript.to_bytes());
buf.extend(tau_x.to_bytes());
buf.extend(mu.to_bytes());
buf.extend(t_hat.to_bytes());
keccak256_to_scalar(buf)
}
let tau_x = (tau2 * (x * x)) + (tau1 * x); #[allow(clippy::needless_pass_by_value)]
pub(crate) fn prove(
tau1.zeroize(); self,
tau2.zeroize(); rng: &mut (impl RngCore + CryptoRng),
(T1, T2, x, tau_x) witness: AggregateRangeWitness,
) -> Option<AggregateRangeProof> {
if self.commitments != witness.commitments.iter().map(Commitment::calculate).collect::<Vec<_>>()
{
None?
}; };
let mu = (x * rho) + alpha; let generators = GENERATORS();
alpha.zeroize();
rho.zeroize();
for (i, gamma) in commitments.iter().map(|c| c.mask).enumerate() { let (mut transcript, _) = self.initial_transcript();
tau_x += zpow[i + 2] * gamma;
// Find out the padded amount of commitments
let mut padded_pow_of_2 = 1;
while padded_pow_of_2 < witness.commitments.len() {
padded_pow_of_2 <<= 1;
} }
let l = l0 + &(l1 * x); let mut aL = ScalarVector::new(padded_pow_of_2 * COMMITMENT_BITS);
let r = r0 + &(r1 * x); for (i, commitment) in witness.commitments.iter().enumerate() {
let mut amount = commitment.amount;
let t = l.clone().inner_product(&r); for j in 0 .. COMMITMENT_BITS {
aL[(i * COMMITMENT_BITS) + j] = Scalar::from(amount & 1);
let x_ip = amount >>= 1;
hash_cache(&mut cache, &[x.to_bytes(), tau_x.to_bytes(), mu.to_bytes(), t.to_bytes()]);
let mut a = l;
let mut b = r;
let yinv = y.invert();
let yinvpow = ScalarVector::powers(yinv, MN);
let mut G_proof = generators.G[.. a.len()].to_vec();
let mut H_proof = generators.H[.. a.len()].to_vec();
H_proof.iter_mut().zip(yinvpow.0.iter()).for_each(|(this_H, yinvpow)| *this_H *= yinvpow);
let U = H() * x_ip;
let mut L = Vec::with_capacity(logMN);
let mut R = Vec::with_capacity(logMN);
while a.len() != 1 {
let (aL, aR) = a.split();
let (bL, bR) = b.split();
let cL = aL.clone().inner_product(&bR);
let cR = aR.clone().inner_product(&bL);
let (G_L, G_R) = G_proof.split_at(aL.len());
let (H_L, H_R) = H_proof.split_at(aL.len());
let L_i = multiexp(&LR_statements(&aL, G_R, &bR, H_L, cL, U)) * INV_EIGHT();
let R_i = multiexp(&LR_statements(&aR, G_L, &bL, H_R, cR, U)) * INV_EIGHT();
L.push(L_i);
R.push(R_i);
let w = hash_cache(&mut cache, &[L_i.compress().to_bytes(), R_i.compress().to_bytes()]);
let w_inv = w.invert();
a = (aL * w) + &(aR * w_inv);
b = (bL * w_inv) + &(bR * w);
if a.len() != 1 {
G_proof = hadamard_fold(G_L, G_R, w_inv, w);
H_proof = hadamard_fold(H_L, H_R, w, w_inv);
} }
} }
let aR = aL.clone() - Scalar::ONE;
let res = OriginalStruct { A, S, T1, T2, tau_x, mu, L, R, a: a[0], b: b[0], t }; let alpha = Scalar::random(&mut *rng);
let A = {
let mut terms = Vec::with_capacity(1 + (2 * aL.len()));
terms.push((alpha, ED25519_BASEPOINT_POINT));
for (aL, G) in aL.0.iter().zip(&generators.G) {
terms.push((*aL, *G));
}
for (aR, H) in aR.0.iter().zip(&generators.H) {
terms.push((*aR, *H));
}
let res = multiexp(&terms) * INV_EIGHT();
terms.zeroize();
res
};
let mut sL = ScalarVector::new(padded_pow_of_2 * COMMITMENT_BITS);
let mut sR = ScalarVector::new(padded_pow_of_2 * COMMITMENT_BITS);
for i in 0 .. (padded_pow_of_2 * COMMITMENT_BITS) {
sL[i] = Scalar::random(&mut *rng);
sR[i] = Scalar::random(&mut *rng);
}
let rho = Scalar::random(&mut *rng);
let S = {
let mut terms = Vec::with_capacity(1 + (2 * sL.len()));
terms.push((rho, ED25519_BASEPOINT_POINT));
for (sL, G) in sL.0.iter().zip(&generators.G) {
terms.push((*sL, *G));
}
for (sR, H) in sR.0.iter().zip(&generators.H) {
terms.push((*sR, *H));
}
let res = multiexp(&terms) * INV_EIGHT();
terms.zeroize();
res
};
let (y, z) = Self::transcript_A_S(transcript, A, S);
transcript = z;
let twos = ScalarVector::powers(Scalar::from(2u8), COMMITMENT_BITS);
let l = [aL - z, sL];
let y_pow_n = ScalarVector::powers(y, aR.len());
let mut r = [((aR + z) * &y_pow_n), sR * &y_pow_n];
{
let mut z_current = z * z;
for j in 0 .. padded_pow_of_2 {
for i in 0 .. COMMITMENT_BITS {
r[0].0[(j * COMMITMENT_BITS) + i] += z_current * twos[i];
}
z_current *= z;
}
}
let t1 = (l[0].clone().inner_product(&r[1])) + (r[0].clone().inner_product(&l[1]));
let t2 = l[1].clone().inner_product(&r[1]);
let tau_1 = Scalar::random(&mut *rng);
let T1 = {
let mut T1_terms = [(t1, H()), (tau_1, ED25519_BASEPOINT_POINT)];
for term in &mut T1_terms {
term.0 *= INV_EIGHT();
}
let T1 = multiexp(&T1_terms);
T1_terms.zeroize();
T1
};
let tau_2 = Scalar::random(&mut *rng);
let T2 = {
let mut T2_terms = [(t2, H()), (tau_2, ED25519_BASEPOINT_POINT)];
for term in &mut T2_terms {
term.0 *= INV_EIGHT();
}
let T2 = multiexp(&T2_terms);
T2_terms.zeroize();
T2
};
transcript = Self::transcript_T12(transcript, T1, T2);
let x = transcript;
let [l0, l1] = l;
let l = l0 + &(l1 * x);
let [r0, r1] = r;
let r = r0 + &(r1 * x);
let t_hat = l.clone().inner_product(&r);
let mut tau_x = ((tau_2 * x) + tau_1) * x;
{
let mut z_current = z * z;
for commitment in &witness.commitments {
tau_x += z_current * commitment.mask;
z_current *= z;
}
}
let mu = alpha + (rho * x);
let y_inv_pow_n = ScalarVector::powers(y.invert(), l.len());
transcript = Self::transcript_tau_x_mu_t_hat(transcript, tau_x, mu, t_hat);
let x_ip = transcript;
let ip = IpStatement::new_without_P_transcript(y_inv_pow_n, x_ip)
.prove(transcript, IpWitness::new(l, r).unwrap())
.unwrap();
let res = AggregateRangeProof { A, S, T1, T2, tau_x, mu, t_hat, ip };
#[cfg(debug_assertions)] #[cfg(debug_assertions)]
{ {
let mut verifier = BulletproofsBatchVerifier::default(); let mut verifier = BulletproofsBatchVerifier::default();
debug_assert!(res.verify(rng, &mut verifier, &commitments_points)); debug_assert!(self.verify(rng, &mut verifier, res.clone()));
debug_assert!(verifier.verify()); debug_assert!(verifier.verify());
} }
Some(res)
res
} }
#[must_use] #[must_use]
pub(crate) fn verify<R: RngCore + CryptoRng>( pub(crate) fn verify(
&self, self,
rng: &mut R, rng: &mut (impl RngCore + CryptoRng),
verifier: &mut BulletproofsBatchVerifier, verifier: &mut BulletproofsBatchVerifier,
commitments: &[EdwardsPoint], mut proof: AggregateRangeProof,
) -> bool { ) -> bool {
// Verify commitments are valid let mut padded_pow_of_2 = 1;
if commitments.is_empty() || (commitments.len() > MAX_COMMITMENTS) { while padded_pow_of_2 < self.commitments.len() {
return false; padded_pow_of_2 <<= 1;
}
let ip_rows = padded_pow_of_2 * COMMITMENT_BITS;
while verifier.0.g_bold.len() < ip_rows {
verifier.0.g_bold.push(Scalar::ZERO);
verifier.0.h_bold.push(Scalar::ZERO);
} }
// Verify L and R are properly sized let (mut transcript, mut commitments) = self.initial_transcript();
if self.L.len() != self.R.len() { for commitment in &mut commitments {
return false; *commitment = commitment.mul_by_cofactor();
} }
let (logMN, M, MN) = MN(commitments.len()); let (y, z) = Self::transcript_A_S(transcript, proof.A, proof.S);
if self.L.len() != logMN { transcript = z;
return false; transcript = Self::transcript_T12(transcript, proof.T1, proof.T2);
} let x = transcript;
transcript = Self::transcript_tau_x_mu_t_hat(transcript, proof.tau_x, proof.mu, proof.t_hat);
let x_ip = transcript;
// Rebuild all challenges proof.A = proof.A.mul_by_cofactor();
let (mut cache, commitments) = hash_commitments(commitments.iter().copied()); proof.S = proof.S.mul_by_cofactor();
let y = hash_cache(&mut cache, &[self.A.compress().to_bytes(), self.S.compress().to_bytes()]); proof.T1 = proof.T1.mul_by_cofactor();
proof.T2 = proof.T2.mul_by_cofactor();
let z = keccak256_to_scalar(y.to_bytes()); let y_pow_n = ScalarVector::powers(y, ip_rows);
cache = z; let y_inv_pow_n = ScalarVector::powers(y.invert(), ip_rows);
let x = hash_cache( let twos = ScalarVector::powers(Scalar::from(2u8), COMMITMENT_BITS);
&mut cache,
&[z.to_bytes(), self.T1.compress().to_bytes(), self.T2.compress().to_bytes()],
);
let x_ip = hash_cache( // 65
&mut cache,
&[x.to_bytes(), self.tau_x.to_bytes(), self.mu.to_bytes(), self.t.to_bytes()],
);
let mut w_and_w_inv = Vec::with_capacity(logMN);
for (L, R) in self.L.iter().zip(&self.R) {
let w = hash_cache(&mut cache, &[L.compress().to_bytes(), R.compress().to_bytes()]);
let w_inv = w.invert();
w_and_w_inv.push((w, w_inv));
}
// Convert the proof from * INV_EIGHT to its actual form
let normalize = |point: &EdwardsPoint| point.mul_by_cofactor();
let L = self.L.iter().map(normalize).collect::<Vec<_>>();
let R = self.R.iter().map(normalize).collect::<Vec<_>>();
let T1 = normalize(&self.T1);
let T2 = normalize(&self.T2);
let A = normalize(&self.A);
let S = normalize(&self.S);
let commitments = commitments.iter().map(EdwardsPoint::mul_by_cofactor).collect::<Vec<_>>();
// Verify it
let zpow = ScalarVector::powers(z, M + 3);
// First multiexp
{ {
let verifier_weight = Scalar::random(rng); let weight = Scalar::random(&mut *rng);
verifier.0.h += weight * proof.t_hat;
verifier.0.g += weight * proof.tau_x;
let ip1y = ScalarVector::powers(y, M * COMMITMENT_BITS).sum(); // Now that we've accumulated the lhs, negate the weight and accumulate the rhs
let mut k = -(zpow[2] * ip1y); // These will now sum to 0 if equal
for j in 1 ..= M { let weight = -weight;
k -= zpow[j + 2] * IP12();
}
let y1 = self.t - ((z * ip1y) + k);
verifier.0.h -= verifier_weight * y1;
verifier.0.g -= verifier_weight * self.tau_x; verifier.0.h += weight * (z - (z * z)) * y_pow_n.sum();
for (j, commitment) in commitments.iter().enumerate() { let mut z_current = z * z;
verifier.0.other.push((verifier_weight * zpow[j + 2], *commitment)); for commitment in &commitments {
verifier.0.other.push((weight * z_current, *commitment));
z_current *= z;
} }
verifier.0.other.push((verifier_weight * x, T1)); let mut z_current = z * z * z;
verifier.0.other.push((verifier_weight * (x * x), T2)); for _ in 0 .. padded_pow_of_2 {
verifier.0.h -= weight * z_current * twos.clone().sum();
z_current *= z;
}
verifier.0.other.push((weight * x, proof.T1));
verifier.0.other.push((weight * (x * x), proof.T2));
} }
// Second multiexp let ip_weight = Scalar::random(&mut *rng);
// 66
verifier.0.other.push((ip_weight, proof.A));
verifier.0.other.push((ip_weight * x, proof.S));
// TODO: g_sum
for i in 0 .. ip_rows {
verifier.0.g_bold[i] += ip_weight * -z;
}
// TODO: h_sum
for i in 0 .. ip_rows {
verifier.0.h_bold[i] += ip_weight * z;
}
{ {
let verifier_weight = Scalar::random(rng); let mut z_current = z * z;
let z3 = (self.t - (self.a * self.b)) * x_ip; for j in 0 .. padded_pow_of_2 {
verifier.0.h += verifier_weight * z3; for i in 0 .. COMMITMENT_BITS {
verifier.0.g -= verifier_weight * self.mu; let full_i = (j * COMMITMENT_BITS) + i;
verifier.0.h_bold[full_i] += ip_weight * y_inv_pow_n[full_i] * z_current * twos[i];
verifier.0.other.push((verifier_weight, A));
verifier.0.other.push((verifier_weight * x, S));
{
let ypow = ScalarVector::powers(y, MN);
let yinv = y.invert();
let yinvpow = ScalarVector::powers(yinv, MN);
let w_cache = challenge_products(&w_and_w_inv);
while verifier.0.g_bold.len() < MN {
verifier.0.g_bold.push(Scalar::ZERO);
} }
while verifier.0.h_bold.len() < MN { z_current *= z;
verifier.0.h_bold.push(Scalar::ZERO);
}
for i in 0 .. MN {
let g = (self.a * w_cache[i]) + z;
verifier.0.g_bold[i] -= verifier_weight * g;
let mut h = self.b * yinvpow[i] * w_cache[(!i) & (MN - 1)];
h -= ((zpow[(i / COMMITMENT_BITS) + 2] * TWO_N()[i % COMMITMENT_BITS]) + (z * ypow[i])) *
yinvpow[i];
verifier.0.h_bold[i] -= verifier_weight * h;
}
}
for i in 0 .. logMN {
verifier.0.other.push((verifier_weight * (w_and_w_inv[i].0 * w_and_w_inv[i].0), L[i]));
verifier.0.other.push((verifier_weight * (w_and_w_inv[i].1 * w_and_w_inv[i].1), R[i]));
} }
} }
verifier.0.h += ip_weight * x_ip * proof.t_hat;
true // 67, 68
verifier.0.g += ip_weight * -proof.mu;
let res = IpStatement::new_without_P_transcript(y_inv_pow_n, x_ip)
.verify(verifier, ip_rows, transcript, ip_weight, proof.ip);
res.is_ok()
} }
} }

View file

@ -20,15 +20,9 @@ use crate::{
// Figure 3 of the Bulletproofs+ Paper // Figure 3 of the Bulletproofs+ Paper
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
pub(crate) struct AggregateRangeStatement { pub(crate) struct AggregateRangeStatement<'a> {
generators: BpPlusGenerators, generators: BpPlusGenerators,
V: Vec<EdwardsPoint>, V: &'a [EdwardsPoint],
}
impl Zeroize for AggregateRangeStatement {
fn zeroize(&mut self) {
self.V.zeroize();
}
} }
#[derive(Clone, Debug, Zeroize, ZeroizeOnDrop)] #[derive(Clone, Debug, Zeroize, ZeroizeOnDrop)]
@ -61,8 +55,8 @@ struct AHatComputation {
A_hat: EdwardsPoint, A_hat: EdwardsPoint,
} }
impl AggregateRangeStatement { impl<'a> AggregateRangeStatement<'a> {
pub(crate) fn new(V: Vec<EdwardsPoint>) -> Option<Self> { pub(crate) fn new(V: &'a [EdwardsPoint]) -> Option<Self> {
if V.is_empty() || (V.len() > MAX_COMMITMENTS) { if V.is_empty() || (V.len() > MAX_COMMITMENTS) {
return None; return None;
} }
@ -180,7 +174,7 @@ impl AggregateRangeStatement {
// Commitments aren't transmitted INV_EIGHT though, so this multiplies by INV_EIGHT to enable // Commitments aren't transmitted INV_EIGHT though, so this multiplies by INV_EIGHT to enable
// clearing its cofactor without mutating the value // clearing its cofactor without mutating the value
// For some reason, these values are transcripted * INV_EIGHT, not as transmitted // For some reason, these values are transcripted * INV_EIGHT, not as transmitted
let V = V.into_iter().map(|V| V * INV_EIGHT()).collect::<Vec<_>>(); let V = V.iter().map(|V| V * INV_EIGHT()).collect::<Vec<_>>();
let mut transcript = initial_transcript(V.iter()); let mut transcript = initial_transcript(V.iter());
let mut V = V.iter().map(EdwardsPoint::mul_by_cofactor).collect::<Vec<_>>(); let mut V = V.iter().map(EdwardsPoint::mul_by_cofactor).collect::<Vec<_>>();
@ -248,7 +242,7 @@ impl AggregateRangeStatement {
) -> bool { ) -> bool {
let Self { generators, V } = self; let Self { generators, V } = self;
let V = V.into_iter().map(|V| V * INV_EIGHT()).collect::<Vec<_>>(); let V = V.iter().map(|V| V * INV_EIGHT()).collect::<Vec<_>>();
let mut transcript = initial_transcript(V.iter()); let mut transcript = initial_transcript(V.iter());
let V = V.iter().map(EdwardsPoint::mul_by_cofactor).collect::<Vec<_>>(); let V = V.iter().map(EdwardsPoint::mul_by_cofactor).collect::<Vec<_>>();

View file

@ -6,10 +6,7 @@ use curve25519_dalek::{constants::ED25519_BASEPOINT_POINT, scalar::Scalar, edwar
use monero_generators::{H, Generators}; use monero_generators::{H, Generators};
pub(crate) use crate::scalar_vector::ScalarVector; pub(crate) use crate::{scalar_vector::ScalarVector, point_vector::PointVector};
mod point_vector;
pub(crate) use point_vector::PointVector;
pub(crate) mod transcript; pub(crate) mod transcript;
pub(crate) mod weighted_inner_product; pub(crate) mod weighted_inner_product;
@ -31,7 +28,6 @@ pub(crate) enum GeneratorsList {
HBold, HBold,
} }
// TODO: Table these
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
pub(crate) struct BpPlusGenerators { pub(crate) struct BpPlusGenerators {
g_bold: &'static [EdwardsPoint], g_bold: &'static [EdwardsPoint],

View file

@ -107,9 +107,6 @@ impl WipStatement {
// Prover's variant of the shared code block to calculate G/H/P when n > 1 // Prover's variant of the shared code block to calculate G/H/P when n > 1
// Returns each permutation of G/H since the prover needs to do operation on each permutation // Returns each permutation of G/H since the prover needs to do operation on each permutation
// P is dropped as it's unused in the prover's path // P is dropped as it's unused in the prover's path
// TODO: It'd still probably be faster to keep in terms of the original generators, both between
// the reduced amount of group operations and the potential tabling of the generators under
// multiexp
#[allow(clippy::too_many_arguments)] #[allow(clippy::too_many_arguments)]
fn next_G_H( fn next_G_H(
transcript: &mut Scalar, transcript: &mut Scalar,

View file

@ -1,14 +1,16 @@
use core::ops::{Index, IndexMut}; use core::ops::{Index, IndexMut};
use std_shims::vec::Vec; use std_shims::vec::Vec;
use zeroize::{Zeroize, ZeroizeOnDrop}; use zeroize::Zeroize;
use curve25519_dalek::edwards::EdwardsPoint; use curve25519_dalek::edwards::EdwardsPoint;
#[cfg(test)] use crate::scalar_vector::ScalarVector;
use crate::{core::multiexp, plus::ScalarVector};
#[derive(Clone, PartialEq, Eq, Debug, Zeroize, ZeroizeOnDrop)] #[cfg(test)]
use crate::core::multiexp;
#[derive(Clone, PartialEq, Eq, Debug, Zeroize)]
pub(crate) struct PointVector(pub(crate) Vec<EdwardsPoint>); pub(crate) struct PointVector(pub(crate) Vec<EdwardsPoint>);
impl Index<usize> for PointVector { impl Index<usize> for PointVector {
@ -25,6 +27,15 @@ impl IndexMut<usize> for PointVector {
} }
impl PointVector { impl PointVector {
pub(crate) fn mul_vec(&self, vector: &ScalarVector) -> Self {
assert_eq!(self.len(), vector.len());
let mut res = self.clone();
for (i, val) in res.0.iter_mut().enumerate() {
*val *= vector.0[i];
}
res
}
#[cfg(test)] #[cfg(test)]
pub(crate) fn multiexp(&self, vector: &ScalarVector) -> EdwardsPoint { pub(crate) fn multiexp(&self, vector: &ScalarVector) -> EdwardsPoint {
debug_assert_eq!(self.len(), vector.len()); debug_assert_eq!(self.len(), vector.len());

View file

@ -1,62 +1,13 @@
use hex_literal::hex; use rand_core::{RngCore, OsRng};
use rand_core::OsRng;
use curve25519_dalek::scalar::Scalar; use curve25519_dalek::scalar::Scalar;
use monero_io::decompress_point;
use monero_primitives::Commitment; use monero_primitives::Commitment;
use crate::{batch_verifier::BatchVerifier, Bulletproof, BulletproofError};
use crate::{batch_verifier::BatchVerifier, original::OriginalStruct, Bulletproof, BulletproofError}; mod original;
mod plus; mod plus;
#[test]
fn bulletproofs_vector() {
let scalar = |scalar| Scalar::from_canonical_bytes(scalar).unwrap();
let point = |point| decompress_point(point).unwrap();
// Generated from Monero
assert!(Bulletproof::Original(OriginalStruct {
A: point(hex!("ef32c0b9551b804decdcb107eb22aa715b7ce259bf3c5cac20e24dfa6b28ac71")),
S: point(hex!("e1285960861783574ee2b689ae53622834eb0b035d6943103f960cd23e063fa0")),
T1: point(hex!("4ea07735f184ba159d0e0eb662bac8cde3eb7d39f31e567b0fbda3aa23fe5620")),
T2: point(hex!("b8390aa4b60b255630d40e592f55ec6b7ab5e3a96bfcdcd6f1cd1d2fc95f441e")),
tau_x: scalar(hex!("5957dba8ea9afb23d6e81cc048a92f2d502c10c749dc1b2bd148ae8d41ec7107")),
mu: scalar(hex!("923023b234c2e64774b820b4961f7181f6c1dc152c438643e5a25b0bf271bc02")),
L: vec![
point(hex!("c45f656316b9ebf9d357fb6a9f85b5f09e0b991dd50a6e0ae9b02de3946c9d99")),
point(hex!("9304d2bf0f27183a2acc58cc755a0348da11bd345485fda41b872fee89e72aac")),
point(hex!("1bb8b71925d155dd9569f64129ea049d6149fdc4e7a42a86d9478801d922129b")),
point(hex!("5756a7bf887aa72b9a952f92f47182122e7b19d89e5dd434c747492b00e1c6b7")),
point(hex!("6e497c910d102592830555356af5ff8340e8d141e3fb60ea24cfa587e964f07d")),
point(hex!("f4fa3898e7b08e039183d444f3d55040f3c790ed806cb314de49f3068bdbb218")),
point(hex!("0bbc37597c3ead517a3841e159c8b7b79a5ceaee24b2a9a20350127aab428713")),
],
R: vec![
point(hex!("609420ba1702781692e84accfd225adb3d077aedc3cf8125563400466b52dbd9")),
point(hex!("fb4e1d079e7a2b0ec14f7e2a3943bf50b6d60bc346a54fcf562fb234b342abf8")),
point(hex!("6ae3ac97289c48ce95b9c557289e82a34932055f7f5e32720139824fe81b12e5")),
point(hex!("d071cc2ffbdab2d840326ad15f68c01da6482271cae3cf644670d1632f29a15c")),
point(hex!("e52a1754b95e1060589ba7ce0c43d0060820ebfc0d49dc52884bc3c65ad18af5")),
point(hex!("41573b06140108539957df71aceb4b1816d2409ce896659aa5c86f037ca5e851")),
point(hex!("a65970b2cc3c7b08b2b5b739dbc8e71e646783c41c625e2a5b1535e3d2e0f742")),
],
a: scalar(hex!("0077c5383dea44d3cd1bc74849376bd60679612dc4b945255822457fa0c0a209")),
b: scalar(hex!("fe80cf5756473482581e1d38644007793ddc66fdeb9404ec1689a907e4863302")),
t: scalar(hex!("40dfb08e09249040df997851db311bd6827c26e87d6f0f332c55be8eef10e603"))
})
.verify(
&mut OsRng,
&[
// For some reason, these vectors are * INV_EIGHT
point(hex!("8e8f23f315edae4f6c2f948d9a861e0ae32d356b933cd11d2f0e031ac744c41f"))
.mul_by_cofactor(),
point(hex!("2829cbd025aa54cd6e1b59a032564f22f0b2e5627f7f2c4297f90da438b5510f"))
.mul_by_cofactor(),
]
));
}
macro_rules! bulletproofs_tests { macro_rules! bulletproofs_tests {
($name: ident, $max: ident, $plus: literal) => { ($name: ident, $max: ident, $plus: literal) => {
#[test] #[test]
@ -65,13 +16,13 @@ macro_rules! bulletproofs_tests {
let mut verifier = BatchVerifier::new(); let mut verifier = BatchVerifier::new();
for i in 1 ..= 16 { for i in 1 ..= 16 {
let commitments = (1 ..= i) let commitments = (1 ..= i)
.map(|i| Commitment::new(Scalar::random(&mut OsRng), u64::try_from(i).unwrap())) .map(|_| Commitment::new(Scalar::random(&mut OsRng), OsRng.next_u64()))
.collect::<Vec<_>>(); .collect::<Vec<_>>();
let bp = if $plus { let bp = if $plus {
Bulletproof::prove_plus(&mut OsRng, commitments.clone()).unwrap() Bulletproof::prove_plus(&mut OsRng, commitments.clone()).unwrap()
} else { } else {
Bulletproof::prove(&mut OsRng, &commitments).unwrap() Bulletproof::prove(&mut OsRng, commitments.clone()).unwrap()
}; };
let commitments = commitments.iter().map(Commitment::calculate).collect::<Vec<_>>(); let commitments = commitments.iter().map(Commitment::calculate).collect::<Vec<_>>();
@ -92,7 +43,7 @@ macro_rules! bulletproofs_tests {
(if $plus { (if $plus {
Bulletproof::prove_plus(&mut OsRng, commitments) Bulletproof::prove_plus(&mut OsRng, commitments)
} else { } else {
Bulletproof::prove(&mut OsRng, &commitments) Bulletproof::prove(&mut OsRng, commitments)
}) })
.unwrap_err(), .unwrap_err(),
BulletproofError::TooManyCommitments, BulletproofError::TooManyCommitments,

View file

@ -0,0 +1,75 @@
// The inner product relation is P = sum(g_bold * a, h_bold * b, g * (a * b))
use rand_core::OsRng;
use curve25519_dalek::Scalar;
use monero_generators::H;
use crate::{
scalar_vector::ScalarVector,
point_vector::PointVector,
original::{
GENERATORS,
inner_product::{IpStatement, IpWitness},
},
BulletproofsBatchVerifier,
};
#[test]
fn test_zero_inner_product() {
let statement =
IpStatement::new_without_P_transcript(ScalarVector(vec![Scalar::ONE; 1]), Scalar::ONE);
let witness = IpWitness::new(ScalarVector::new(1), ScalarVector::new(1)).unwrap();
let transcript = Scalar::random(&mut OsRng);
let proof = statement.clone().prove(transcript, witness).unwrap();
let mut verifier = BulletproofsBatchVerifier::default();
verifier.0.g_bold = vec![Scalar::ZERO; 1];
verifier.0.h_bold = vec![Scalar::ZERO; 1];
statement.verify(&mut verifier, 1, transcript, Scalar::random(&mut OsRng), proof).unwrap();
assert!(verifier.verify());
}
#[test]
fn test_inner_product() {
// P = sum(g_bold * a, h_bold * b, g * u * <a, b>)
let generators = GENERATORS();
let mut verifier = BulletproofsBatchVerifier::default();
verifier.0.g_bold = vec![Scalar::ZERO; 32];
verifier.0.h_bold = vec![Scalar::ZERO; 32];
for i in [1, 2, 4, 8, 16, 32] {
let g = H();
let mut g_bold = vec![];
let mut h_bold = vec![];
for i in 0 .. i {
g_bold.push(generators.G[i]);
h_bold.push(generators.H[i]);
}
let g_bold = PointVector(g_bold);
let h_bold = PointVector(h_bold);
let mut a = ScalarVector::new(i);
let mut b = ScalarVector::new(i);
for i in 0 .. i {
a[i] = Scalar::random(&mut OsRng);
b[i] = Scalar::random(&mut OsRng);
}
let P = g_bold.multiexp(&a) + h_bold.multiexp(&b) + (g * a.clone().inner_product(&b));
let statement =
IpStatement::new_without_P_transcript(ScalarVector(vec![Scalar::ONE; i]), Scalar::ONE);
let witness = IpWitness::new(a, b).unwrap();
let transcript = Scalar::random(&mut OsRng);
let proof = statement.clone().prove(transcript, witness).unwrap();
let weight = Scalar::random(&mut OsRng);
verifier.0.other.push((weight, P));
statement.verify(&mut verifier, i, transcript, weight, proof).unwrap();
}
assert!(verifier.verify());
}

View file

@ -0,0 +1,62 @@
use hex_literal::hex;
use rand_core::OsRng;
use curve25519_dalek::scalar::Scalar;
use monero_io::decompress_point;
use crate::{
original::{IpProof, AggregateRangeProof as OriginalProof},
Bulletproof,
};
mod inner_product;
#[test]
fn bulletproofs_vector() {
let scalar = |scalar| Scalar::from_canonical_bytes(scalar).unwrap();
let point = |point| decompress_point(point).unwrap();
// Generated from Monero
assert!(Bulletproof::Original(OriginalProof {
A: point(hex!("ef32c0b9551b804decdcb107eb22aa715b7ce259bf3c5cac20e24dfa6b28ac71")),
S: point(hex!("e1285960861783574ee2b689ae53622834eb0b035d6943103f960cd23e063fa0")),
T1: point(hex!("4ea07735f184ba159d0e0eb662bac8cde3eb7d39f31e567b0fbda3aa23fe5620")),
T2: point(hex!("b8390aa4b60b255630d40e592f55ec6b7ab5e3a96bfcdcd6f1cd1d2fc95f441e")),
tau_x: scalar(hex!("5957dba8ea9afb23d6e81cc048a92f2d502c10c749dc1b2bd148ae8d41ec7107")),
mu: scalar(hex!("923023b234c2e64774b820b4961f7181f6c1dc152c438643e5a25b0bf271bc02")),
ip: IpProof {
L: vec![
point(hex!("c45f656316b9ebf9d357fb6a9f85b5f09e0b991dd50a6e0ae9b02de3946c9d99")),
point(hex!("9304d2bf0f27183a2acc58cc755a0348da11bd345485fda41b872fee89e72aac")),
point(hex!("1bb8b71925d155dd9569f64129ea049d6149fdc4e7a42a86d9478801d922129b")),
point(hex!("5756a7bf887aa72b9a952f92f47182122e7b19d89e5dd434c747492b00e1c6b7")),
point(hex!("6e497c910d102592830555356af5ff8340e8d141e3fb60ea24cfa587e964f07d")),
point(hex!("f4fa3898e7b08e039183d444f3d55040f3c790ed806cb314de49f3068bdbb218")),
point(hex!("0bbc37597c3ead517a3841e159c8b7b79a5ceaee24b2a9a20350127aab428713")),
],
R: vec![
point(hex!("609420ba1702781692e84accfd225adb3d077aedc3cf8125563400466b52dbd9")),
point(hex!("fb4e1d079e7a2b0ec14f7e2a3943bf50b6d60bc346a54fcf562fb234b342abf8")),
point(hex!("6ae3ac97289c48ce95b9c557289e82a34932055f7f5e32720139824fe81b12e5")),
point(hex!("d071cc2ffbdab2d840326ad15f68c01da6482271cae3cf644670d1632f29a15c")),
point(hex!("e52a1754b95e1060589ba7ce0c43d0060820ebfc0d49dc52884bc3c65ad18af5")),
point(hex!("41573b06140108539957df71aceb4b1816d2409ce896659aa5c86f037ca5e851")),
point(hex!("a65970b2cc3c7b08b2b5b739dbc8e71e646783c41c625e2a5b1535e3d2e0f742")),
],
a: scalar(hex!("0077c5383dea44d3cd1bc74849376bd60679612dc4b945255822457fa0c0a209")),
b: scalar(hex!("fe80cf5756473482581e1d38644007793ddc66fdeb9404ec1689a907e4863302")),
},
t_hat: scalar(hex!("40dfb08e09249040df997851db311bd6827c26e87d6f0f332c55be8eef10e603"))
})
.verify(
&mut OsRng,
&[
// For some reason, these vectors are * INV_EIGHT
point(hex!("8e8f23f315edae4f6c2f948d9a861e0ae32d356b933cd11d2f0e031ac744c41f"))
.mul_by_cofactor(),
point(hex!("2829cbd025aa54cd6e1b59a032564f22f0b2e5627f7f2c4297f90da438b5510f"))
.mul_by_cofactor(),
]
));
}

View file

@ -17,8 +17,8 @@ fn test_aggregate_range_proof() {
for _ in 0 .. m { for _ in 0 .. m {
commitments.push(Commitment::new(Scalar::random(&mut OsRng), OsRng.next_u64())); commitments.push(Commitment::new(Scalar::random(&mut OsRng), OsRng.next_u64()));
} }
let commitment_points = commitments.iter().map(Commitment::calculate).collect(); let commitment_points = commitments.iter().map(Commitment::calculate).collect::<Vec<_>>();
let statement = AggregateRangeStatement::new(commitment_points).unwrap(); let statement = AggregateRangeStatement::new(&commitment_points).unwrap();
let witness = AggregateRangeWitness::new(commitments).unwrap(); let witness = AggregateRangeWitness::new(commitments).unwrap();
let proof = statement.clone().prove(&mut OsRng, &witness).unwrap(); let proof = statement.clone().prove(&mut OsRng, &witness).unwrap();

View file

@ -272,7 +272,7 @@ impl SignableTransactionWithKeyImages {
let bulletproof = { let bulletproof = {
let mut bp_rng = self.intent.seeded_rng(b"bulletproof"); let mut bp_rng = self.intent.seeded_rng(b"bulletproof");
(match self.intent.rct_type { (match self.intent.rct_type {
RctType::ClsagBulletproof => Bulletproof::prove(&mut bp_rng, &bp_commitments), RctType::ClsagBulletproof => Bulletproof::prove(&mut bp_rng, bp_commitments),
RctType::ClsagBulletproofPlus => Bulletproof::prove_plus(&mut bp_rng, bp_commitments), RctType::ClsagBulletproofPlus => Bulletproof::prove_plus(&mut bp_rng, bp_commitments),
_ => panic!("unsupported RctType"), _ => panic!("unsupported RctType"),
}) })