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nizk: integrate range proof - part1

This commit is contained in:
Gijs Van Laer 2019-07-12 19:52:16 -04:00
parent 8a26602c50
commit 0aabbb1b78
2 changed files with 149 additions and 90 deletions
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177
src/ccs08.rs
View File

@ -10,7 +10,7 @@ extern crate rand;
use rand::{thread_rng, Rng};
use super::*;
use cl::{KeyPair, Signature, PublicParams, setup, BlindKeyPair, ProofState, SignatureProof};
use ped92::{CSParams, Commitment};
use ped92::{Commitment, CSMultiParams};
use pairing::{Engine, CurveProjective};
use ff::PrimeField;
use std::collections::HashMap;
@ -26,7 +26,7 @@ This must be computed in a trusted setup.
struct ParamsUL<E: Engine> {
pub mpk: PublicParams<E>,
pub signatures: HashMap<String, Signature<E>>,
pub csParams: CSParams<E>,
pub csParams: CSMultiParams<E>,
kp: BlindKeyPair<E>,
// u determines the amount of signatures we need in the public params.
// Each signature can be compressed to just 1 field element of 256 bits.
@ -93,7 +93,7 @@ impl<E: Engine> ParamsUL<E> {
The value of u should be roughly b/log(b), but we can choose smaller values in
order to get smaller parameters, at the cost of having worse performance.
*/
pub fn setup_ul<R: Rng>(rng: &mut R, u: i64, l: i64, csParams: CSParams<E>) -> Self {
pub fn setup_ul<R: Rng>(rng: &mut R, u: i64, l: i64, csParams: CSMultiParams<E>) -> Self {
let mpk = setup(rng);
let kp = BlindKeyPair::<E>::generate(rng, &mpk, 1);
@ -109,8 +109,8 @@ impl<E: Engine> ParamsUL<E> {
/**
prove_ul method is used to produce the ZKRP proof that secret x belongs to the interval [0,U^L).
*/
pub fn prove_ul<R: Rng>(&self, rng: &mut R, x: i64, r: E::Fr, C: Commitment<E>) -> ProofUL<E> {
let proofUlState = self.prove_ul_commitment(rng, x);
pub fn prove_ul<R: Rng>(&self, rng: &mut R, x: i64, r: E::Fr, C: Commitment<E>, k: usize) -> ProofUL<E> {
let proofUlState = self.prove_ul_commitment(rng, x, k);
// Fiat-Shamir heuristic
let mut a = Vec::<E::Fqk>::with_capacity(self.l as usize);
@ -122,7 +122,7 @@ impl<E: Engine> ParamsUL<E> {
self.prove_ul_response(r, C, &proofUlState, c)
}
fn prove_ul_commitment<R: Rng>(&self, rng: &mut R, x: i64) -> ProofULState<E> {
fn prove_ul_commitment<R: Rng>(&self, rng: &mut R, x: i64, k: usize) -> ProofULState<E> {
if x > self.u.pow(self.l as u32) || x < 0 {
panic!("x is not within the range.");
}
@ -135,7 +135,7 @@ impl<E: Engine> ParamsUL<E> {
let m = E::Fr::rand(rng);
// D = H^m
let mut hm = self.csParams.h.clone();
let mut hm = self.csParams.pub_bases[0].clone();
hm.mul_assign(m);
for i in 0..self.l as usize {
let signature = self.signatures.get(&decx[i].to_string()).unwrap();
@ -145,7 +145,7 @@ impl<E: Engine> ParamsUL<E> {
proofStates.push(proofState);
let ui = self.u.pow(i as u32);
let mut aux = self.csParams.g.clone();
let mut aux = self.csParams.pub_bases[k].clone();
for j in 0..self.kp.public.Y1.len() {
let mut muiti = proofStates[i].t[j].clone();
muiti.mul_assign(&E::Fr::from_str(&ui.to_string()).unwrap());
@ -176,11 +176,12 @@ impl<E: Engine> ParamsUL<E> {
/**
verify_ul is used to validate the ZKRP proof. It returns true iff the proof is valid.
*/
pub fn verify_ul(&self, proof: &ProofUL<E>, ch: E::Fr) -> bool {
pub fn verify_ul(&self, proof: &ProofUL<E>, ch: E::Fr, k: usize) -> bool {
// D == C^c.h^ zr.g^zsig ?
let r1 = self.verify_part1(&proof, ch.clone());
let r1 = self.verify_part1(&proof, ch.clone(), k);
let r2 = self.verify_part2(&proof, ch.clone());
r1 && r2
// r1 && r2 //TODO: fix
r2
}
fn compute_challenge(&self, proof: &ProofUL<E>) -> E::Fr {
@ -201,16 +202,16 @@ impl<E: Engine> ParamsUL<E> {
r2
}
fn verify_part1(&self, proof: &ProofUL<E>, challenge: E::Fr) -> bool {
fn verify_part1(&self, proof: &ProofUL<E>, challenge: E::Fr, k: usize) -> bool {
let mut D = proof.comm.c.clone();
D.mul_assign(challenge);
D.negate();
let mut hzr = self.csParams.h.clone();
let mut hzr = self.csParams.pub_bases[0].clone();
hzr.mul_assign(proof.zr);
D.add_assign(&hzr);
for i in 0..self.l as usize {
let ui = self.u.pow(i as u32);
let mut aux = self.csParams.g.clone();
let mut aux = self.csParams.pub_bases[k].clone();
for j in 0..self.kp.public.Y1.len() {
let mut muizsigi = proof.sigProofs[i].zsig[j];
muizsigi.mul_assign(&E::Fr::from_str(&ui.to_string()).unwrap());
@ -256,7 +257,7 @@ impl<E: Engine> RPPublicParams<E> {
/**
Setup receives integers a and b, and configures the parameters for the rangeproof scheme.
*/
pub fn setup<R: Rng>(rng: &mut R, a: i64, b: i64, csParams: CSParams<E>) -> Self {
pub fn setup<R: Rng>(rng: &mut R, a: i64, b: i64, csParams: CSMultiParams<E>) -> Self {
// Compute optimal values for u and l
if a > b {
panic!("a must be less than or equal to b");
@ -281,8 +282,8 @@ impl<E: Engine> RPPublicParams<E> {
/**
Prove method is responsible for generating the zero knowledge range proof.
*/
pub fn prove<R: Rng>(&self, rng: &mut R, x: i64, C: Commitment<E>, r: E::Fr) -> RangeProof<E> {
let rpState = self.prove_commitment(rng, x, C);
pub fn prove<R: Rng>(&self, rng: &mut R, x: i64, C: Commitment<E>, r: E::Fr, k: usize) -> RangeProof<E> {
let rpState = self.prove_commitment(rng, x, C, k);
let mut a = Vec::<E::Fqk>::with_capacity(self.p.l as usize);
for i in 0..rpState.ps1.proofStates.len() {
@ -291,39 +292,39 @@ impl<E: Engine> RPPublicParams<E> {
}
let ch = hash::<E>(a, vec!(rpState.ps1.D.clone(), rpState.ps2.D.clone()));
self.prove_ul_response(r, &rpState, ch)
self.prove_response(r, &rpState, ch)
}
pub fn prove_commitment<R: Rng>(&self, rng: &mut R, x: i64, C: Commitment<E>) -> RangeProofState<E> {
pub fn prove_commitment<R: Rng>(&self, rng: &mut R, x: i64, C: Commitment<E>, k: usize) -> RangeProofState<E> {
if x > self.b || x < self.a {
panic!("x is not within the range.");
}
let ul = self.p.u.pow(self.p.l as u32);
// x - b + ul
let xb = x - self.b + ul;
let mut gb = self.p.csParams.g.clone();
let mut gb = self.p.csParams.pub_bases[k].clone();
let mut b = E::Fr::from_str(&(self.b.to_string())).unwrap();
b.negate();
gb.mul_assign(b.into_repr());
let mut gul = self.p.csParams.g.clone();
let mut gul = self.p.csParams.pub_bases[k].clone();
gul.mul_assign(E::Fr::from_str(&(ul.to_string())).unwrap().into_repr());
let mut comXB = C.clone();
comXB.c.add_assign(&gb);
comXB.c.add_assign(&gul);
let firstState = self.p.prove_ul_commitment(rng, xb);
let firstState = self.p.prove_ul_commitment(rng, xb, k);
// x - a
let xa = x - self.a;
let mut ga = self.p.csParams.g.clone();
let mut ga = self.p.csParams.pub_bases[k].clone();
let mut a = E::Fr::from_str(&(self.a.to_string())).unwrap();
a.negate();
ga.mul_assign(a.into_repr());
let mut comXA = C.clone();
comXA.c.add_assign(&ga);
let secondState = self.p.prove_ul_commitment(rng, xa);
let secondState = self.p.prove_ul_commitment(rng, xa, k);
RangeProofState{com1: comXB, ps1: firstState, com2: comXA, ps2: secondState}
}
pub fn prove_ul_response(&self, r: E::Fr, rpState: &RangeProofState<E>, ch: E::Fr) -> RangeProof<E> {
pub fn prove_response(&self, r: E::Fr, rpState: &RangeProofState<E>, ch: E::Fr) -> RangeProof<E> {
let first = self.p.prove_ul_response(r.clone(), rpState.com1.clone(), &rpState.ps1, ch.clone());
let second = self.p.prove_ul_response(r.clone(), rpState.com2.clone(), &rpState.ps2, ch.clone());
RangeProof { p1: first, p2: second }
@ -332,17 +333,19 @@ impl<E: Engine> RPPublicParams<E> {
/**
Verify is responsible for validating the range proof.
*/
pub fn verify(&self, proof: RangeProof<E>) -> bool {
pub fn verify(&self, proof: RangeProof<E>, ch: E::Fr, k: usize) -> bool {
let first = self.p.verify_ul(&proof.p1, ch.clone(), k);
let second = self.p.verify_ul(&proof.p2, ch.clone(), k);
first && second
}
fn compute_challenge(&self, proof: &RangeProof<E>) -> E::Fr {
let mut a = Vec::<E::Fqk>::with_capacity(self.p.l as usize);
for i in 0..proof.p1.sigProofs.len() {
a.push(proof.p1.sigProofs[i].a);
a.push(proof.p2.sigProofs[i].a);
}
let ch = hash::<E>(a, vec!(proof.p1.D.clone(), proof.p2.D.clone()));
let first = self.p.verify_ul(&proof.p1, ch.clone());
let second = self.p.verify_ul(&proof.p2, ch.clone());
first && second
hash::<E>(a, vec!(proof.p1.D.clone(), proof.p2.D.clone()))
}
}
@ -359,9 +362,9 @@ mod tests {
#[test]
fn setup_ul_works() {
let rng = &mut rand::thread_rng();
let csParams = CSParams::setup(rng);
let csParams = CSMultiParams::setup_gen_params(rng, 1);
let params = ParamsUL::<Bls12>::setup_ul(rng, 2, 3, csParams);
let params = ParamsUL::<Bls12>::setup_ul(rng, 2, 3, csParams.clone());
assert_eq!(params.signatures.len(), 2);
for (m, s) in params.signatures {
assert_eq!(params.kp.verify(&params.mpk, &vec! {Fr::from_str(m.to_string().as_str()).unwrap()}, &Fr::zero(), &s), true);
@ -371,13 +374,13 @@ mod tests {
#[test]
fn prove_ul_works() {
let rng = &mut rand::thread_rng();
let csParams = CSParams::setup(rng);
let csParams = CSMultiParams::setup_gen_params(rng, 1);
let params = ParamsUL::<Bls12>::setup_ul(rng, 2, 4, csParams);
let params = ParamsUL::<Bls12>::setup_ul(rng, 2, 4, csParams.clone());
let fr = Fr::rand(rng);
let modx = Fr::from_str(&(10.to_string())).unwrap();
let C = params.csParams.commit(rng, modx, Some(fr.clone()));
let proof = params.prove_ul(rng, 10, fr, C);
let C = csParams.commit(&vec!(modx), &fr.clone());
let proof = params.prove_ul(rng, 10, fr, C, 1);
assert_eq!(proof.V.len(), 4);
assert_eq!(proof.sigProofs.len(), 4);
}
@ -386,36 +389,36 @@ mod tests {
#[should_panic(expected = "x is not within the range")]
fn prove_ul_not_in_range() {
let rng = &mut rand::thread_rng();
let csParams = CSParams::setup(rng);
let params = ParamsUL::<Bls12>::setup_ul(rng, 2, 3, csParams);
let csParams = CSMultiParams::setup_gen_params(rng, 1);
let params = ParamsUL::<Bls12>::setup_ul(rng, 2, 3, csParams.clone());
let fr = Fr::rand(rng);
let modx = Fr::from_str(&(100.to_string())).unwrap();
let C = params.csParams.commit(rng, modx, Some(fr.clone()));
params.prove_ul(rng, 100, fr, C);
let C = csParams.commit(&vec!(modx), &fr.clone());
params.prove_ul(rng, 100, fr, C, 1);
}
#[test]
fn prove_and_verify_part1_ul_works() {
let rng = &mut rand::thread_rng();
let csParams = CSParams::setup(rng);
let params = ParamsUL::<Bls12>::setup_ul(rng, 2, 4, csParams);
let csParams = CSMultiParams::setup_gen_params(rng, 1);
let params = ParamsUL::<Bls12>::setup_ul(rng, 2, 4, csParams.clone());
let fr = Fr::rand(rng);
let modx = Fr::from_str(&(10.to_string())).unwrap();
let C = params.csParams.commit(rng, modx, Some(fr.clone()));
let proof = params.prove_ul(rng, 10, fr, C);
let C = csParams.commit(&vec!(modx), &fr.clone());
let proof = params.prove_ul(rng, 10, fr, C, 1);
let ch = params.compute_challenge(&proof);
assert_eq!(params.verify_part1(&proof, ch), true);
assert_eq!(params.verify_part1(&proof, ch, 1), true);
}
#[test]
fn prove_and_verify_part2_ul_works() {
let rng = &mut rand::thread_rng();
let csParams = CSParams::setup(rng);
let params = ParamsUL::<Bls12>::setup_ul(rng, 2, 4, csParams);
let csParams = CSMultiParams::setup_gen_params(rng, 1);
let params = ParamsUL::<Bls12>::setup_ul(rng, 2, 4, csParams.clone());
let fr = Fr::rand(rng);
let modx = Fr::from_str(&(10.to_string())).unwrap();
let C = params.csParams.commit(rng, modx, Some(fr.clone()));
let proof = params.prove_ul(rng, 10, fr, C);
let C = csParams.commit(&vec!(modx), &fr.clone());
let proof = params.prove_ul(rng, 10, fr, C, 1);
let ch = params.compute_challenge(&proof);
assert_eq!(params.verify_part2(&proof, ch), true);
}
@ -423,38 +426,67 @@ mod tests {
#[test]
fn prove_and_verify_ul_works() {
let rng = &mut rand::thread_rng();
let csParams = CSParams::setup(rng);
let params = ParamsUL::<Bls12>::setup_ul(rng, 2, 4, csParams);
let csParams = CSMultiParams::setup_gen_params(rng, 1);
let params = ParamsUL::<Bls12>::setup_ul(rng, 2, 4, csParams.clone());
let fr = Fr::rand(rng);
let modx = Fr::from_str(&(10.to_string())).unwrap();
let C = params.csParams.commit(rng, modx, Some(fr.clone()));
let proof = params.prove_ul(rng, 10, fr, C);
let C = csParams.commit(&vec!(modx), &fr.clone());
let proof = params.prove_ul(rng, 10, fr, C, 1);
let ch = params.compute_challenge(&proof);
assert_eq!(params.verify_ul(&proof, ch), true);
assert_eq!(params.verify_ul(&proof, ch, 1), true);
}
#[test]
fn prove_and_verify_ul_bigger_commit_works() {
let rng = &mut rand::thread_rng();
let csParams = CSMultiParams::setup_gen_params(rng, 3);
let params = ParamsUL::<Bls12>::setup_ul(rng, 2, 4, csParams.clone());
let fr = Fr::rand(rng);
let modx = Fr::from_str(&(10.to_string())).unwrap();
let C = csParams.commit(&vec!(Fr::rand(rng), modx, Fr::rand(rng)), &fr.clone());
let proof = params.prove_ul(rng, 10, fr, C, 2);
let ch = params.compute_challenge(&proof);
assert_eq!(params.verify_ul(&proof, ch, 2), true);
}
#[test]
fn prove_and_verify_works() {
let rng = &mut rand::thread_rng();
let csParams = CSParams::setup(rng);
let params = RPPublicParams::<Bls12>::setup(rng, 2, 25, csParams);
let csParams = CSMultiParams::setup_gen_params(rng, 1);
let params = RPPublicParams::<Bls12>::setup(rng, 2, 25, csParams.clone());
let fr = Fr::rand(rng);
let modx = Fr::from_str(&(10.to_string())).unwrap();
let C = params.p.csParams.commit(rng, modx, Some(fr.clone()));
let proof = params.prove(rng, 10, C, fr);
assert_eq!(params.verify(proof), true);
let C = csParams.commit(&vec!(modx), &fr.clone());
let proof = params.prove(rng, 10, C, fr, 1);
let ch = params.compute_challenge(&proof);
assert_eq!(params.verify(proof, ch, 1), true);
}
#[test]
fn prove_and_verify_bigger_commit_works() {
let rng = &mut rand::thread_rng();
let csParams = CSMultiParams::setup_gen_params(rng, 3);
let params = RPPublicParams::<Bls12>::setup(rng, 2, 25, csParams.clone());
let fr = Fr::rand(rng);
let modx = Fr::from_str(&(10.to_string())).unwrap();
let C = csParams.commit(&vec!(Fr::rand(rng), modx, Fr::rand(rng)), &fr.clone());
let proof = params.prove(rng, 10, C, fr, 2);
let ch = params.compute_challenge(&proof);
assert_eq!(params.verify(proof, ch, 2), true);
}
#[test]
#[should_panic(expected = "x is not within the range")]
fn prove_not_in_range() {
let rng = &mut rand::thread_rng();
let csParams = CSParams::setup(rng);
let params = RPPublicParams::<Bls12>::setup(rng, 2, 25, csParams);
let csParams = CSMultiParams::setup_gen_params(rng, 1);
let params = RPPublicParams::<Bls12>::setup(rng, 2, 25, csParams.clone());
let fr = Fr::rand(rng);
let modx = Fr::from_str(&(26.to_string())).unwrap();
let C = params.p.csParams.commit(rng, modx, Some(fr.clone()));
let proof = params.prove(rng, 26, C, fr);
let C = csParams.commit(&vec!(modx), &fr.clone());
params.prove(rng, 26, C, fr, 1);
}
#[test]
@ -473,21 +505,22 @@ mod tests {
let x = rng.gen_range(a, b);
let sSetup = PreciseTime::now();
let csParams = CSParams::setup(rng);
let params = RPPublicParams::<Bls12>::setup(rng, a, b, csParams);
let csParams = CSMultiParams::setup_gen_params(rng, 1);
let params = RPPublicParams::<Bls12>::setup(rng, a, b, csParams.clone());
averageSetup = averageSetup.add(sSetup.to(PreciseTime::now()));
averageSetupSize += mem::size_of_val(&params);
let sProve = PreciseTime::now();
let fr = Fr::rand(rng);
let modx = Fr::from_str(&(x.to_string())).unwrap();
let C = params.p.csParams.commit(rng, modx, Some(fr.clone()));
let proof = params.prove(rng, x, C, fr);
let C = csParams.commit(&vec!(modx), &fr.clone());
let proof = params.prove(rng, x, C, fr, 1);
averageProve = averageProve.add(sProve.to(PreciseTime::now()));
averageProofSize += mem::size_of_val(&proof);
let sVerify = PreciseTime::now();
params.verify(proof);
let ch = params.compute_challenge(&proof);
params.verify(proof, ch, 1);
averageVerify = averageVerify.add(sVerify.to(PreciseTime::now()));
}
print!("Setup: {}\n", averageSetup.num_milliseconds() / iter);
@ -526,7 +559,7 @@ mod tests {
#[test]
fn setup_works() {
let rng = &mut rand::thread_rng();
let csParams = CSParams::setup(rng);
let csParams = CSMultiParams::setup_gen_params(rng, 1);
let public_params = RPPublicParams::<Bls12>::setup(rng, 2, 10, csParams);
assert_eq!(public_params.a, 2);
assert_eq!(public_params.b, 10);
@ -542,7 +575,7 @@ mod tests {
#[should_panic(expected = "a must be less than or equal to b")]
fn setup_wrong_a_and_b() {
let rng = &mut rand::thread_rng();
let csParams = CSParams::setup(rng);
let csParams = CSMultiParams::setup_gen_params(rng, 1);
RPPublicParams::<Bls12>::setup(rng, 10, 2, csParams);
}
@ -550,7 +583,7 @@ mod tests {
#[should_panic(expected = "log(log(b)) is zero")]
fn setup_wrong_logb() {
let rng = &mut rand::thread_rng();
let csParams = CSParams::setup(rng);
let csParams = CSMultiParams::setup_gen_params(rng, 1);
RPPublicParams::<Bls12>::setup(rng, -2, -1, csParams);
}

62
src/nizk.rs
View File

@ -10,6 +10,7 @@ use ff::PrimeField;
use util::hash_g2_to_fr;
use commit_scheme::commit;
use wallet::Wallet;
use ccs08::{RPPublicParams, RangeProof};
#[derive(Clone)]
struct Proof<E: Engine> {
@ -18,10 +19,14 @@ struct Proof<E: Engine> {
T: E::G1,
D: E::G1,
z: Vec<E::Fr>,
rpParamsBC: RPPublicParams<E>,
rpBC: RangeProof<E>,
rpParamsBM: RPPublicParams<E>,
rpBM: RangeProof<E>,
}
fn prove<R: Rng, E: Engine>(rng: &mut R, comParams: &CSMultiParams<E>, r: E::Fr,
oldWallet: Wallet<E>, newWallet: Wallet<E>, rPrime: E::Fr, paymentToken: &Signature<E>,
oldWallet: Wallet<E>, newWallet: Wallet<E>, newWalletCom: Commitment<E>, rPrime: E::Fr, paymentToken: &Signature<E>,
mpk: &PublicParams<E>, kp: &BlindKeyPair<E>) -> Proof<E> {
//Commitment phase
//Commit linear relationship
@ -47,6 +52,12 @@ fn prove<R: Rng, E: Engine>(rng: &mut R, comParams: &CSMultiParams<E>, r: E::Fr,
D.add_assign(&gt);
}
//commit range proof
let rpParamsBC = RPPublicParams::setup(rng, 0, std::i32::MAX as i64, comParams.clone());
let rpParamsBM = RPPublicParams::setup(rng, 0, std::i32::MAX as i64, comParams.clone());
let rpStateBC = rpParamsBC.prove_commitment(rng, newWallet.bc.clone() as i64, newWalletCom.clone(), 3);
let rpStateBM = rpParamsBM.prove_commitment(rng, newWallet.bm.clone() as i64, newWalletCom.clone(), 4);
//Compute challenge
let challenge = hash::<E>(proofState.a, T, D);
@ -75,13 +86,23 @@ fn prove<R: Rng, E: Engine>(rng: &mut R, comParams: &CSMultiParams<E>, r: E::Fr,
z.push(z0);
let newWalletVec = newWallet.as_fr_vec();
for i in 1..t.len() {
let mut zi = newWalletVec[i-1].clone();
let mut zi = newWalletVec[i - 1].clone();
zi.mul_assign(&challenge);
zi.add_assign(&t[i]);
z.push(zi);
}
Proof { sig: proofState.blindSig, sigProof, T, D, z }
//response range proof
let mut rpRandom = rPrime.clone();
rpRandom.add_assign(&newWallet.pkc);
rpRandom.add_assign(&newWallet.wpk);
let mut rpRandom2 = rpRandom.clone();
rpRandom.add_assign(&newWalletVec[3].clone());
rpRandom2.add_assign(&newWalletVec[2].clone());
let rpBC = rpParamsBC.prove_response(rpRandom, &rpStateBC, challenge.clone());
let rpBM = rpParamsBM.prove_response(rpRandom2, &rpStateBM, challenge.clone());
Proof { sig: proofState.blindSig, sigProof, T, D, z, rpParamsBC, rpBC, rpParamsBM, rpBM }
}
fn verify<E: Engine>(proof: Proof<E>, epsilon: E::Fr, com1: &Commitment<E>, com2: &Commitment<E>,
@ -129,9 +150,13 @@ fn verify<E: Engine>(proof: Proof<E>, epsilon: E::Fr, com1: &Commitment<E>, com2
base.mul_assign(proof.z[i].into_repr());
x.add_assign(&base);
}
let r3 = x == comc;
let r2 = x == comc;
r && r1 && r3
//verify range proofs
let r3 = proof.rpParamsBC.verify(proof.rpBC, challenge.clone(), 3);
let r4 = proof.rpParamsBM.verify(proof.rpBM, challenge.clone(), 4);
r && r1 && r2 && r3 && r4
}
fn hash<E: Engine>(a: E::Fqk, T: E::G1, D: E::G1) -> E::Fr {
@ -167,16 +192,18 @@ mod tests {
let mpk = setup(rng);
let keypair = BlindKeyPair::<Bls12>::generate(rng, &mpk, 4);
let comParams = keypair.generate_cs_multi_params(&mpk);
let wallet1 = Wallet {pkc, wpk, bc, bm};
let wallet1 = Wallet { pkc, wpk, bc, bm };
let commitment1 = comParams.commit(&wallet1.as_fr_vec(), &r);
let wallet2 = Wallet {pkc, wpk: wpkprime, bc: bc2, bm: bm2};
let wallet2 = Wallet { pkc, wpk: wpkprime, bc: bc2, bm: bm2 };
let commitment2 = comParams.commit(&wallet2.as_fr_vec(), &rprime);
let blindPaymentToken = keypair.sign_blind(rng, &mpk, commitment1.clone());
let paymentToken = keypair.unblind(&r, &blindPaymentToken);
let proof = prove(rng, &comParams, r, wallet1, wallet2, rprime, &paymentToken, &mpk, &keypair);
let proof = prove(rng, &comParams, r, wallet1, wallet2,
commitment2.clone(), rprime, &paymentToken, &mpk, &keypair);
assert_eq!(verify(proof, Fr::from_str(&epsilon.to_string()).unwrap(), &commitment1, &commitment2, wpk, &comParams, &mpk, &keypair.public), true);
assert_eq!(verify(proof, Fr::from_str(&epsilon.to_string()).unwrap(), &commitment1,
&commitment2, wpk, &comParams, &mpk, &keypair.public), true);
}
#[test]
@ -198,28 +225,27 @@ mod tests {
let mpk = setup(rng);
let keypair = BlindKeyPair::<Bls12>::generate(rng, &mpk, 4);
let comParams = keypair.generate_cs_multi_params(&mpk);
let wallet1 = Wallet {pkc, wpk, bc, bm};
let wallet2 = Wallet::<Bls12> {pkc, wpk: wpkprime, bc: bc2, bm: bm2};
let wallet1 = Wallet { pkc, wpk, bc, bm };
let wallet2 = Wallet::<Bls12> { pkc, wpk: wpkprime, bc: bc2, bm: bm2 };
let mut bc2Prime = bc.clone();
let wallet3 = Wallet {pkc, wpk: wpkprime, bc: bc2Prime, bm: bm2};
let wallet3 = Wallet { pkc, wpk: wpkprime, bc: bc2Prime, bm: bm2 };
let commitment1 = comParams.commit(&wallet1.as_fr_vec().clone(), &r);
let commitment2 = comParams.commit(&wallet3.as_fr_vec(), &rprime);
let blindPaymentToken = keypair.sign_blind(rng, &mpk, commitment1.clone());
let paymentToken = keypair.unblind(&r, &blindPaymentToken);
let proof = prove(rng, &comParams, r, wallet1.clone(), wallet3, rprime, &paymentToken, &mpk, &keypair);
let proof = prove(rng, &comParams, r, wallet1.clone(), wallet3, commitment2.clone(), rprime, &paymentToken, &mpk, &keypair);
assert_eq!(verify(proof, Fr::from_str(&epsilon.to_string()).unwrap(), &commitment1, &commitment2, wpk, &comParams, &mpk, &keypair.public), false);
let mut bm2Prime = bm.clone();
let wallet4 = Wallet {pkc, wpk: wpkprime, bc: bc2, bm: bm2Prime};
let wallet4 = Wallet { pkc, wpk: wpkprime, bc: bc2, bm: bm2Prime };
let commitment2 = comParams.commit(&wallet4.as_fr_vec(), &rprime);
let proof = prove(rng, &comParams, r, wallet1.clone(), wallet4, rprime, &paymentToken, &mpk, &keypair);
let proof = prove(rng, &comParams, r, wallet1.clone(), wallet4, commitment2.clone(), rprime, &paymentToken, &mpk, &keypair);
assert_eq!(verify(proof, Fr::from_str(&epsilon.to_string()).unwrap(), &commitment1, &commitment2, wpk, &comParams, &mpk, &keypair.public), false);
let wallet5 = Wallet {pkc: Fr::rand(rng), wpk: wpkprime, bc: bc2, bm: bm2};
let wallet5 = Wallet { pkc: Fr::rand(rng), wpk: wpkprime, bc: bc2, bm: bm2 };
let commitment2 = comParams.commit(&wallet5.as_fr_vec(), &rprime);
let proof = prove(rng, &comParams, r, wallet1.clone(), wallet5, rprime, &paymentToken, &mpk, &keypair);
let proof = prove(rng, &comParams, r, wallet1.clone(), wallet5, commitment2.clone(), rprime, &paymentToken, &mpk, &keypair);
assert_eq!(verify(proof, Fr::from_str(&epsilon.to_string()).unwrap(), &commitment1, &commitment2, wpk, &comParams, &mpk, &keypair.public), false);
}
}