Add IPA commitment scheme and the respective circuit verifier gadget (#72)

* Add IPA commitment native implementation

* Add IPA Gadget verifier

* polish Pedersen & IPA, add blind bool param to IPA

* Optimize IPA gadget constraints (and native):

- optimize <s,b> computation from linear to log time
- optimize s computation from k*2^k to k*(2^k)/2

* add small optimization: delegate u_i^-1 to prover and just check u_i*u_i^-1==1 in verifier circuit

* IPA polish and document

* Add 'BLIND' parameter to CommitmentProver trait (and to Pedersen and KZG impls). Fit IPA into CommitmentProver trait.

* rename 'BLIND' to 'H' (hiding) in commitment

* IPA: rm u_invs from Proof and compute them incircuit

* Update IPA's build_s & gadget to use Halo2 approach following @han0110 's suggestion.

This reduced further the amount of constraints needed.
- for k=4: -9k constraints (-7%)
- for k=8: -473k constr (-31%)
- for k=9: -1123k constr (-35%)
- for k=10: -2578k constr (-39%)
And now IPA verification (without amortizing) is very close to Pedersen
verification (in-circuits).

* rm dbg!(cs.num_constraints()) from multiple tests

* IPA::prove remove intermediate v_lo,v_hi vectors, add doc to build_s_gadget

* move powers_of into utils/mod.rs, update iters to cfg_iter
This commit is contained in:
2024-03-01 09:52:07 +01:00
committed by GitHub
parent 9159c5c84c
commit b25037e34c
18 changed files with 796 additions and 96 deletions

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@@ -112,7 +112,7 @@ impl<C: CurveGroup> CCCS<C> {
) -> Result<(), Error> {
// check that C is the commitment of w. Notice that this is not verifying a Pedersen
// opening, but checking that the commitment comes from committing to the witness.
if self.C != Pedersen::commit(pedersen_params, &w.w, &w.r_w)? {
if self.C != Pedersen::<C>::commit(pedersen_params, &w.w, &w.r_w)? {
return Err(Error::NotSatisfied);
}

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@@ -180,7 +180,7 @@ mod tests {
let r_x_prime: Vec<Fr> = (0..ccs.s).map(|_| Fr::rand(&mut rng)).collect();
// Initialize a multifolding object
let pedersen_params = Pedersen::new_params(&mut rng, ccs.n - ccs.l - 1);
let pedersen_params = Pedersen::<Projective>::new_params(&mut rng, ccs.n - ccs.l - 1);
let (lcccs_instance, _) = ccs.to_lcccs(&mut rng, &pedersen_params, &z1).unwrap();
let sigmas_thetas =
compute_sigmas_and_thetas(&ccs, &[z1.clone()], &[z2.clone()], &r_x_prime);
@@ -224,7 +224,7 @@ mod tests {
let r_x_prime: Vec<Fr> = (0..ccs.s).map(|_| Fr::rand(&mut rng)).collect();
// Initialize a multifolding object
let pedersen_params = Pedersen::new_params(&mut rng, ccs.n - ccs.l - 1);
let pedersen_params = Pedersen::<Projective>::new_params(&mut rng, ccs.n - ccs.l - 1);
let (lcccs_instance, _) = ccs.to_lcccs(&mut rng, &pedersen_params, &z1).unwrap();
let sigmas_thetas =
compute_sigmas_and_thetas(&ccs, &[z1.clone()], &[z2.clone()], &r_x_prime);
@@ -267,7 +267,7 @@ mod tests {
let r_x_prime: Vec<Fr> = (0..ccs.s).map(|_| Fr::rand(&mut rng)).collect();
// Initialize a multifolding object
let pedersen_params = Pedersen::new_params(&mut rng, ccs.n - ccs.l - 1);
let pedersen_params = Pedersen::<Projective>::new_params(&mut rng, ccs.n - ccs.l - 1);
let (lcccs_instance, _) = ccs.to_lcccs(&mut rng, &pedersen_params, &z1).unwrap();
let sigmas_thetas =
compute_sigmas_and_thetas(&ccs, &[z1.clone()], &[z2.clone()], &r_x_prime);

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@@ -46,7 +46,7 @@ impl<C: CurveGroup> CCS<C> {
) -> Result<(LCCCS<C>, Witness<C::ScalarField>), Error> {
let w: Vec<C::ScalarField> = z[(1 + self.l)..].to_vec();
let r_w = C::ScalarField::rand(rng);
let C = Pedersen::commit(pedersen_params, &w, &r_w)?;
let C = Pedersen::<C>::commit(pedersen_params, &w, &r_w)?;
let r_x: Vec<C::ScalarField> = (0..self.s).map(|_| C::ScalarField::rand(rng)).collect();
let v = self.compute_v_j(z, &r_x);
@@ -96,8 +96,8 @@ impl<C: CurveGroup> LCCCS<C> {
w: &Witness<C::ScalarField>,
) -> Result<(), Error> {
// check that C is the commitment of w. Notice that this is not verifying a Pedersen
// opening, but checking that the commitment comes from committing to the witness.
if self.C != Pedersen::commit(pedersen_params, &w.w, &w.r_w)? {
// opening, but checking that the Commmitment comes from committing to the witness.
if self.C != Pedersen::<C>::commit(pedersen_params, &w.w, &w.r_w)? {
return Err(Error::NotSatisfied);
}

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@@ -430,7 +430,7 @@ pub mod tests {
// Create a basic CCS circuit
let ccs = get_test_ccs::<Projective>();
let pedersen_params = Pedersen::new_params(&mut rng, ccs.n - ccs.l - 1);
let pedersen_params = Pedersen::<Projective>::new_params(&mut rng, ccs.n - ccs.l - 1);
// Generate a satisfying witness
let z_1 = get_test_z(3);
@@ -489,7 +489,7 @@ pub mod tests {
let ccs = get_test_ccs::<Projective>();
let pedersen_params = Pedersen::new_params(&mut rng, ccs.n - ccs.l - 1);
let pedersen_params = Pedersen::<Projective>::new_params(&mut rng, ccs.n - ccs.l - 1);
// LCCCS witness
let z_1 = get_test_z(2);
@@ -557,7 +557,7 @@ pub mod tests {
// Create a basic CCS circuit
let ccs = get_test_ccs::<Projective>();
let pedersen_params = Pedersen::new_params(&mut rng, ccs.n - ccs.l - 1);
let pedersen_params = Pedersen::<Projective>::new_params(&mut rng, ccs.n - ccs.l - 1);
let mu = 10;
let nu = 15;
@@ -639,7 +639,7 @@ pub mod tests {
// Create a basic CCS circuit
let ccs = get_test_ccs::<Projective>();
let pedersen_params = Pedersen::new_params(&mut rng, ccs.n - ccs.l - 1);
let pedersen_params = Pedersen::<Projective>::new_params(&mut rng, ccs.n - ccs.l - 1);
let poseidon_config = poseidon_test_config::<Fr>();
// Prover's transcript

View File

@@ -290,7 +290,7 @@ pub mod tests {
let r_x_prime: Vec<Fr> = (0..ccs.s).map(|_| Fr::rand(&mut rng)).collect();
// Initialize a multifolding object
let pedersen_params = Pedersen::new_params(&mut rng, ccs.n - ccs.l - 1);
let pedersen_params = Pedersen::<Projective>::new_params(&mut rng, ccs.n - ccs.l - 1);
let (lcccs_instance, _) = ccs.to_lcccs(&mut rng, &pedersen_params, &z1).unwrap();
let sigmas_thetas =
@@ -333,7 +333,7 @@ pub mod tests {
let beta: Vec<Fr> = (0..ccs.s).map(|_| Fr::rand(&mut rng)).collect();
// Initialize a multifolding object
let pedersen_params = Pedersen::new_params(&mut rng, ccs.n - ccs.l - 1);
let pedersen_params = Pedersen::<Projective>::new_params(&mut rng, ccs.n - ccs.l - 1);
let (lcccs_instance, _) = ccs.to_lcccs(&mut rng, &pedersen_params, &z1).unwrap();
let mut sum_v_j_gamma = Fr::zero();