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Implement Nova's Offchain-Decider circuits (#160)

* Implement Nova's Offchain-Decider circuits (on both curves)
  (curve1 circuit: ~152k constraints, curve2 circuit: ~8k constraints)
  following the enumeration of the Offchain Decider docs:
  https://privacy-scaling-explorations.github.io/sonobe-docs/design/nova-decider-offchain.html
* Update enumeration of checks in Onchain-Decider circuit
  (decider_eth_circuit.rs) to match the updated Onchain Decider docs:
  https://privacy-scaling-explorations.github.io/sonobe-docs/design/nova-decider-onchain.html
main
arnaucube 2 months ago
committed by GitHub
parent
commit
1e9c13f852
No known key found for this signature in database GPG Key ID: B5690EEEBB952194
6 changed files with 617 additions and 29 deletions
  1. +2
    -2
      folding-schemes/src/folding/circuits/cyclefold.rs
  2. +8
    -5
      folding-schemes/src/folding/circuits/mod.rs
  3. +570
    -0
      folding-schemes/src/folding/nova/decider_circuits.rs
  4. +2
    -0
      folding-schemes/src/folding/nova/decider_eth.rs
  5. +26
    -18
      folding-schemes/src/folding/nova/decider_eth_circuit.rs
  6. +9
    -4
      folding-schemes/src/folding/nova/mod.rs

+ 2
- 2
folding-schemes/src/folding/circuits/cyclefold.rs

@ -61,10 +61,10 @@ where
f().and_then(|val| { f().and_then(|val| {
let cs = cs.into(); let cs = cs.into();
let cmE = GC::new_variable(cs.clone(), || Ok(val.borrow().cmE), mode)?;
let cmW = GC::new_variable(cs.clone(), || Ok(val.borrow().cmW), mode)?;
let u = NonNativeUintVar::new_variable(cs.clone(), || Ok(val.borrow().u), mode)?; let u = NonNativeUintVar::new_variable(cs.clone(), || Ok(val.borrow().u), mode)?;
let x = Vec::new_variable(cs.clone(), || Ok(val.borrow().x.clone()), mode)?; let x = Vec::new_variable(cs.clone(), || Ok(val.borrow().x.clone()), mode)?;
let cmE = GC::new_variable(cs.clone(), || Ok(val.borrow().cmE), mode)?;
let cmW = GC::new_variable(cs.clone(), || Ok(val.borrow().cmW), mode)?;
Ok(Self { cmE, u, cmW, x }) Ok(Self { cmE, u, cmW, x })
}) })

+ 8
- 5
folding-schemes/src/folding/circuits/mod.rs

@ -7,10 +7,13 @@ pub mod nonnative;
pub mod sum_check; pub mod sum_check;
pub mod utils; pub mod utils;
/// CF1 represents the ConstraintField used for the main folding circuit which is over E1::Fr, where
/// E1 is the main curve where we do the folding.
/// CF1 uses the ScalarField of the given C. CF1 represents the ConstraintField used for the main
/// folding circuit which is over E1::Fr, where E1 is the main curve where we do the folding.
/// In CF1, the points of C can not be natively represented.
pub type CF1<C> = <<C as CurveGroup>::Affine as AffineRepr>::ScalarField; pub type CF1<C> = <<C as CurveGroup>::Affine as AffineRepr>::ScalarField;
/// CF2 represents the ConstraintField used for the CycleFold circuit which is over E2::Fr=E1::Fq,
/// where E2 is the auxiliary curve (from [CycleFold](https://eprint.iacr.org/2023/1192.pdf)
/// approach) where we check the folding of the commitments (elliptic curve points).
/// CF2 uses the BaseField of the given C. CF2 represents the ConstraintField used for the
/// CycleFold circuit which is over E2::Fr=E1::Fq, where E2 is the auxiliary curve (from
/// [CycleFold](https://eprint.iacr.org/2023/1192.pdf) approach) where we check the folding of the
/// commitments (elliptic curve points).
/// In CF2, the points of C can be natively represented.
pub type CF2<C> = <<C as CurveGroup>::BaseField as Field>::BasePrimeField; pub type CF2<C> = <<C as CurveGroup>::BaseField as Field>::BasePrimeField;

+ 570
- 0
folding-schemes/src/folding/nova/decider_circuits.rs

@ -0,0 +1,570 @@
/// This file implements the offchain decider circuit. For ethereum use cases, use the
/// DeciderEthCircuit.
/// More details can be found at the documentation page:
/// https://privacy-scaling-explorations.github.io/sonobe-docs/design/nova-decider-offchain.html
use ark_crypto_primitives::sponge::{
constraints::CryptographicSpongeVar,
poseidon::{constraints::PoseidonSpongeVar, PoseidonConfig, PoseidonSponge},
Absorb, CryptographicSponge,
};
use ark_ec::{CurveGroup, Group};
use ark_ff::{BigInteger, PrimeField};
use ark_poly::Polynomial;
use ark_r1cs_std::{
alloc::AllocVar,
boolean::Boolean,
eq::EqGadget,
fields::{fp::FpVar, FieldVar},
groups::GroupOpsBounds,
prelude::CurveVar,
ToConstraintFieldGadget,
};
use ark_relations::r1cs::{ConstraintSynthesizer, ConstraintSystemRef, SynthesisError};
use ark_std::Zero;
use core::marker::PhantomData;
use super::{
circuits::{ChallengeGadget, CommittedInstanceVar},
decider_eth_circuit::{KZGChallengesGadget, R1CSVar, RelaxedR1CSGadget, WitnessVar},
nifs::NIFS,
CommittedInstance, Nova, Witness,
};
use crate::arith::r1cs::R1CS;
use crate::commitment::CommitmentScheme;
use crate::folding::circuits::{
cyclefold::{
CycleFoldCommittedInstance, CycleFoldCommittedInstanceVar, CycleFoldConfig,
CycleFoldWitness,
},
nonnative::{affine::NonNativeAffineVar, uint::NonNativeUintVar},
CF1, CF2,
};
use crate::folding::nova::NovaCycleFoldConfig;
use crate::folding::traits::CommittedInstanceVarOps;
use crate::frontend::FCircuit;
use crate::utils::vec::poly_from_vec;
use crate::Error;
/// Circuit that implements part of the in-circuit checks needed for the offchain verification over
/// the Curve2's BaseField (=Curve1's ScalarField).
#[derive(Clone, Debug)]
pub struct DeciderCircuit1<C1, C2, GC2>
where
C1: CurveGroup,
C2: CurveGroup,
GC2: CurveVar<C2, CF2<C2>>,
{
_c1: PhantomData<C1>,
_c2: PhantomData<C2>,
_gc2: PhantomData<GC2>,
/// E vector's length of the Nova instance witness
pub E_len: usize,
/// E vector's length of the CycleFold instance witness
pub cf_E_len: usize,
/// R1CS of the Augmented Function circuit
pub r1cs: R1CS<C1::ScalarField>,
pub poseidon_config: PoseidonConfig<CF1<C1>>,
/// public params hash
pub pp_hash: Option<C1::ScalarField>,
pub i: Option<CF1<C1>>,
/// initial state
pub z_0: Option<Vec<C1::ScalarField>>,
/// current i-th state
pub z_i: Option<Vec<C1::ScalarField>>,
/// Nova instances
pub u_i: Option<CommittedInstance<C1>>,
pub w_i: Option<Witness<C1>>,
pub U_i: Option<CommittedInstance<C1>>,
pub W_i: Option<Witness<C1>>,
pub U_i1: Option<CommittedInstance<C1>>,
pub W_i1: Option<Witness<C1>>,
pub cmT: Option<C1>,
pub r: Option<C1::ScalarField>,
/// CycleFold running instance
pub cf_U_i: Option<CycleFoldCommittedInstance<C2>>,
/// KZG challenges
pub kzg_c_W: Option<C1::ScalarField>,
pub kzg_c_E: Option<C1::ScalarField>,
pub eval_W: Option<C1::ScalarField>,
pub eval_E: Option<C1::ScalarField>,
}
impl<C1, C2, GC2> DeciderCircuit1<C1, C2, GC2>
where
C1: CurveGroup,
<C1 as CurveGroup>::BaseField: PrimeField,
<C1 as Group>::ScalarField: Absorb,
C2: CurveGroup,
GC2: CurveVar<C2, CF2<C2>> + ToConstraintFieldGadget<CF2<C2>>,
for<'b> &'b GC2: GroupOpsBounds<'b, C2, GC2>,
{
pub fn from_nova<GC1, CS1, CS2, const H: bool, FC: FCircuit<C1::ScalarField>>(
nova: Nova<C1, GC1, C2, GC2, FC, CS1, CS2, H>,
) -> Result<Self, Error>
where
C2: CurveGroup,
GC1: CurveVar<C1, CF2<C1>> + ToConstraintFieldGadget<CF2<C1>>,
GC2: CurveVar<C2, CF2<C2>> + ToConstraintFieldGadget<CF2<C2>>,
CS1: CommitmentScheme<C1, H>,
CS2: CommitmentScheme<C2, H>,
{
let mut transcript = PoseidonSponge::<C1::ScalarField>::new(&nova.poseidon_config);
// pp_hash is absorbed to transcript at the ChallengeGadget::get_challenge_native call
// compute the U_{i+1}, W_{i+1}
let (T, cmT) = NIFS::<C1, CS1, H>::compute_cmT(
&nova.cs_pp,
&nova.r1cs.clone(),
&nova.w_i.clone(),
&nova.u_i.clone(),
&nova.W_i.clone(),
&nova.U_i.clone(),
)?;
let r_bits = ChallengeGadget::<C1>::get_challenge_native(
&mut transcript,
nova.pp_hash,
nova.U_i.clone(),
nova.u_i.clone(),
cmT,
);
let r_Fr = C1::ScalarField::from_bigint(BigInteger::from_bits_le(&r_bits))
.ok_or(Error::OutOfBounds)?;
let (W_i1, U_i1) = NIFS::<C1, CS1, H>::fold_instances(
r_Fr, &nova.W_i, &nova.U_i, &nova.w_i, &nova.u_i, &T, cmT,
)?;
// compute the KZG challenges used as inputs in the circuit
let (kzg_challenge_W, kzg_challenge_E) =
KZGChallengesGadget::<C1>::get_challenges_native(&mut transcript, U_i1.clone());
// get KZG evals
let mut W = W_i1.W.clone();
W.extend(
std::iter::repeat(C1::ScalarField::zero())
.take(W_i1.W.len().next_power_of_two() - W_i1.W.len()),
);
let mut E = W_i1.E.clone();
E.extend(
std::iter::repeat(C1::ScalarField::zero())
.take(W_i1.E.len().next_power_of_two() - W_i1.E.len()),
);
let p_W = poly_from_vec(W.to_vec())?;
let eval_W = p_W.evaluate(&kzg_challenge_W);
let p_E = poly_from_vec(E.to_vec())?;
let eval_E = p_E.evaluate(&kzg_challenge_E);
Ok(Self {
_c1: PhantomData,
_c2: PhantomData,
_gc2: PhantomData,
E_len: nova.W_i.E.len(),
cf_E_len: nova.cf_W_i.E.len(),
r1cs: nova.r1cs,
poseidon_config: nova.poseidon_config,
pp_hash: Some(nova.pp_hash),
i: Some(nova.i),
z_0: Some(nova.z_0),
z_i: Some(nova.z_i),
u_i: Some(nova.u_i),
w_i: Some(nova.w_i),
U_i: Some(nova.U_i),
W_i: Some(nova.W_i),
U_i1: Some(U_i1),
W_i1: Some(W_i1),
cmT: Some(cmT),
r: Some(r_Fr),
cf_U_i: Some(nova.cf_U_i),
kzg_c_W: Some(kzg_challenge_W),
kzg_c_E: Some(kzg_challenge_E),
eval_W: Some(eval_W),
eval_E: Some(eval_E),
})
}
}
impl<C1, C2, GC2> ConstraintSynthesizer<CF1<C1>> for DeciderCircuit1<C1, C2, GC2>
where
C1: CurveGroup,
<C1 as CurveGroup>::BaseField: PrimeField,
<C1 as Group>::ScalarField: Absorb,
C2: CurveGroup,
<C2 as CurveGroup>::BaseField: PrimeField,
<C2 as Group>::ScalarField: Absorb,
C1: CurveGroup<BaseField = C2::ScalarField, ScalarField = C2::BaseField>,
GC2: CurveVar<C2, CF2<C2>> + ToConstraintFieldGadget<CF2<C2>>,
for<'b> &'b GC2: GroupOpsBounds<'b, C2, GC2>,
{
fn generate_constraints(self, cs: ConstraintSystemRef<CF1<C1>>) -> Result<(), SynthesisError> {
let r1cs =
R1CSVar::<C1::ScalarField, CF1<C1>, FpVar<CF1<C1>>>::new_witness(cs.clone(), || {
Ok(self.r1cs.clone())
})?;
let pp_hash = FpVar::<CF1<C1>>::new_input(cs.clone(), || {
Ok(self.pp_hash.unwrap_or_else(CF1::<C1>::zero))
})?;
let i =
FpVar::<CF1<C1>>::new_input(cs.clone(), || Ok(self.i.unwrap_or_else(CF1::<C1>::zero)))?;
let z_0 = Vec::<FpVar<CF1<C1>>>::new_input(cs.clone(), || {
Ok(self.z_0.unwrap_or(vec![CF1::<C1>::zero()]))
})?;
let z_i = Vec::<FpVar<CF1<C1>>>::new_input(cs.clone(), || {
Ok(self.z_i.unwrap_or(vec![CF1::<C1>::zero()]))
})?;
let u_dummy_native = CommittedInstance::<C1>::dummy(2);
let w_dummy_native = Witness::<C1>::dummy(
self.r1cs.A.n_cols - 3, /* (3=2+1, since u_i.x.len=2) */
self.E_len,
);
let u_i = CommittedInstanceVar::<C1>::new_witness(cs.clone(), || {
Ok(self.u_i.unwrap_or(u_dummy_native.clone()))
})?;
let U_i = CommittedInstanceVar::<C1>::new_witness(cs.clone(), || {
Ok(self.U_i.unwrap_or(u_dummy_native.clone()))
})?;
// here (U_i1, W_i1) = NIFS.P( (U_i,W_i), (u_i,w_i))
let U_i1 = CommittedInstanceVar::<C1>::new_input(cs.clone(), || {
Ok(self.U_i1.unwrap_or(u_dummy_native.clone()))
})?;
let W_i1 = WitnessVar::<C1>::new_witness(cs.clone(), || {
Ok(self.W_i1.unwrap_or(w_dummy_native.clone()))
})?;
// allocate the inputs for the check 6
let kzg_c_W = FpVar::<CF1<C1>>::new_input(cs.clone(), || {
Ok(self.kzg_c_W.unwrap_or_else(CF1::<C1>::zero))
})?;
let kzg_c_E = FpVar::<CF1<C1>>::new_input(cs.clone(), || {
Ok(self.kzg_c_E.unwrap_or_else(CF1::<C1>::zero))
})?;
let _eval_W = FpVar::<CF1<C1>>::new_input(cs.clone(), || {
Ok(self.eval_W.unwrap_or_else(CF1::<C1>::zero))
})?;
let _eval_E = FpVar::<CF1<C1>>::new_input(cs.clone(), || {
Ok(self.eval_E.unwrap_or_else(CF1::<C1>::zero))
})?;
// `sponge` is for digest computation.
let sponge = PoseidonSpongeVar::<C1::ScalarField>::new(cs.clone(), &self.poseidon_config);
// `transcript` is for challenge generation.
let mut transcript = sponge.clone();
// notice that the `pp_hash` is absorbed inside the ChallengeGadget::get_challenge_gadget call
// 2. u_i.cmE==cm(0), u_i.u==1
// Here zero is the x & y coordinates of the zero point affine representation.
let zero = NonNativeUintVar::new_constant(cs.clone(), C1::BaseField::zero())?;
u_i.cmE.x.enforce_equal_unaligned(&zero)?;
u_i.cmE.y.enforce_equal_unaligned(&zero)?;
(u_i.u.is_one()?).enforce_equal(&Boolean::TRUE)?;
// 3.a u_i.x[0] == H(i, z_0, z_i, U_i)
let (u_i_x, U_i_vec) = U_i.clone().hash(&sponge, &pp_hash, &i, &z_0, &z_i)?;
(u_i.x[0]).enforce_equal(&u_i_x)?;
// 3.b u_i.x[1] == H(cf_U_i)
let cf_u_dummy_native =
CycleFoldCommittedInstance::<C2>::dummy(NovaCycleFoldConfig::<C1>::IO_LEN);
let cf_U_i = CycleFoldCommittedInstanceVar::<C2, GC2>::new_input(cs.clone(), || {
Ok(self.cf_U_i.unwrap_or_else(|| cf_u_dummy_native.clone()))
})?;
let (cf_u_i_x, _) = cf_U_i.clone().hash(&sponge, pp_hash.clone())?;
(u_i.x[1]).enforce_equal(&cf_u_i_x)?;
// 4. check RelaxedR1CS of U_{i+1}
let z_U1: Vec<FpVar<CF1<C1>>> =
[vec![U_i1.u.clone()], U_i1.x.to_vec(), W_i1.W.to_vec()].concat();
RelaxedR1CSGadget::check_native(r1cs, W_i1.E.clone(), U_i1.u.clone(), z_U1)?;
// 1.1.a, 5.1 compute NIFS.V and KZG challenges.
// We need to ensure the order of challenge generation is the same as
// the native counterpart, so we first compute the challenges here and
// do the actual checks later.
let cmT =
NonNativeAffineVar::new_input(cs.clone(), || Ok(self.cmT.unwrap_or_else(C1::zero)))?;
let r_bits = ChallengeGadget::<C1>::get_challenge_gadget(
&mut transcript,
pp_hash,
U_i_vec,
u_i.clone(),
cmT.clone(),
)?;
// 5.1.
let (incircuit_c_W, incircuit_c_E) =
KZGChallengesGadget::<C1>::get_challenges_gadget(&mut transcript, U_i1.clone())?;
incircuit_c_W.enforce_equal(&kzg_c_W)?;
incircuit_c_E.enforce_equal(&kzg_c_E)?;
// Check 5.2 is temporary disabled due
// https://github.com/privacy-scaling-explorations/sonobe/issues/80
log::warn!("[WARNING]: issue #80 (https://github.com/privacy-scaling-explorations/sonobe/issues/80) is not resolved yet.");
//
// 5.2. check eval_W==p_W(c_W) and eval_E==p_E(c_E)
// let incircuit_eval_W = evaluate_gadget::<CF1<C1>>(W_i1.W, incircuit_c_W)?;
// let incircuit_eval_E = evaluate_gadget::<CF1<C1>>(W_i1.E, incircuit_c_E)?;
// incircuit_eval_W.enforce_equal(&eval_W)?;
// incircuit_eval_E.enforce_equal(&eval_E)?;
// 1.1.b check that the NIFS.V challenge matches the one from the public input (so we avoid
// the verifier computing it)
let r_Fr = Boolean::le_bits_to_fp_var(&r_bits)?;
// check that the in-circuit computed r is equal to the inputted r
let r =
FpVar::<CF1<C1>>::new_input(cs.clone(), || Ok(self.r.unwrap_or_else(CF1::<C1>::zero)))?;
r_Fr.enforce_equal(&r)?;
Ok(())
}
}
/// Circuit that implements part of the in-circuit checks needed for the offchain verification over
/// the Curve1's BaseField (=Curve2's ScalarField).
#[derive(Clone, Debug)]
pub struct DeciderCircuit2<C1, GC1, C2>
where
C1: CurveGroup,
C2: CurveGroup,
{
_c1: PhantomData<C1>,
_gc1: PhantomData<GC1>,
_c2: PhantomData<C2>,
/// E vector's length of the CycleFold instance witness
pub cf_E_len: usize,
/// R1CS of the CycleFold circuit
pub cf_r1cs: R1CS<C2::ScalarField>,
pub poseidon_config: PoseidonConfig<CF1<C2>>,
/// public params hash
pub pp_hash: Option<C2::ScalarField>,
/// CycleFold running instance. Notice that here we use Nova's CommittedInstance (instead of
/// CycleFoldCommittedInstance), since we are over C2::Fr, so that the CycleFold instances can
/// be computed natively
pub cf_U_i: Option<CommittedInstance<C2>>,
pub cf_W_i: Option<CycleFoldWitness<C2>>,
/// KZG challenges
pub kzg_c_W: Option<C2::ScalarField>,
pub kzg_c_E: Option<C2::ScalarField>,
pub eval_W: Option<C2::ScalarField>,
pub eval_E: Option<C2::ScalarField>,
}
impl<C1, GC1, C2> DeciderCircuit2<C1, GC1, C2>
where
C1: CurveGroup,
C2: CurveGroup,
<C1 as CurveGroup>::BaseField: PrimeField,
<C1 as Group>::ScalarField: Absorb,
<C2 as CurveGroup>::BaseField: PrimeField,
<C2 as Group>::ScalarField: Absorb,
GC1: CurveVar<C1, CF2<C1>> + ToConstraintFieldGadget<CF2<C1>>,
{
pub fn from_nova<GC2, CS1, CS2, const H: bool, FC: FCircuit<C1::ScalarField>>(
nova: Nova<C1, GC1, C2, GC2, FC, CS1, CS2, H>,
) -> Result<Self, Error>
where
GC2: CurveVar<C2, CF2<C2>> + ToConstraintFieldGadget<CF2<C2>>,
CS1: CommitmentScheme<C1, H>,
CS2: CommitmentScheme<C2, H>,
{
// compute the KZG challenges of the CycleFold instance commitments, used as inputs in the
// circuit
let poseidon_config =
crate::transcript::poseidon::poseidon_canonical_config::<C2::ScalarField>();
let mut transcript = PoseidonSponge::<C2::ScalarField>::new(&poseidon_config);
let pp_hash_Fq =
C2::ScalarField::from_le_bytes_mod_order(&nova.pp_hash.into_bigint().to_bytes_le());
transcript.absorb(&pp_hash_Fq);
let (kzg_challenge_W, kzg_challenge_E) =
KZGChallengesGadget::<C2>::get_challenges_native(&mut transcript, nova.cf_U_i.clone());
// get KZG evals
let mut W = nova.cf_W_i.W.clone();
W.extend(
std::iter::repeat(C2::ScalarField::zero())
.take(nova.cf_W_i.W.len().next_power_of_two() - nova.cf_W_i.W.len()),
);
let mut E = nova.cf_W_i.E.clone();
E.extend(
std::iter::repeat(C2::ScalarField::zero())
.take(nova.cf_W_i.E.len().next_power_of_two() - nova.cf_W_i.E.len()),
);
let p_W = poly_from_vec(W.to_vec())?;
let eval_W = p_W.evaluate(&kzg_challenge_W);
let p_E = poly_from_vec(E.to_vec())?;
let eval_E = p_E.evaluate(&kzg_challenge_E);
Ok(Self {
_c1: PhantomData,
_gc1: PhantomData,
_c2: PhantomData,
cf_E_len: nova.cf_W_i.E.len(),
cf_r1cs: nova.cf_r1cs,
poseidon_config,
pp_hash: Some(pp_hash_Fq),
cf_U_i: Some(nova.cf_U_i),
cf_W_i: Some(nova.cf_W_i),
// CycleFold instance commitments kzg challenges
kzg_c_W: Some(kzg_challenge_W),
kzg_c_E: Some(kzg_challenge_E),
eval_W: Some(eval_W),
eval_E: Some(eval_E),
})
}
}
impl<C1, GC1, C2> ConstraintSynthesizer<CF1<C2>> for DeciderCircuit2<C1, GC1, C2>
where
C1: CurveGroup,
C2: CurveGroup,
<C1 as CurveGroup>::BaseField: PrimeField,
<C2 as CurveGroup>::BaseField: PrimeField,
<C1 as Group>::ScalarField: Absorb,
<C2 as Group>::ScalarField: Absorb,
C1: CurveGroup<BaseField = C2::ScalarField, ScalarField = C2::BaseField>,
GC1: CurveVar<C1, CF2<C1>> + ToConstraintFieldGadget<CF2<C1>>,
for<'a> &'a GC1: GroupOpsBounds<'a, C1, GC1>,
{
fn generate_constraints(self, cs: ConstraintSystemRef<CF1<C2>>) -> Result<(), SynthesisError> {
let pp_hash = FpVar::<CF1<C2>>::new_input(cs.clone(), || {
Ok(self.pp_hash.unwrap_or_else(CF1::<C2>::zero))
})?;
let cf_u_dummy_native = CommittedInstance::<C2>::dummy(NovaCycleFoldConfig::<C1>::IO_LEN);
let w_dummy_native =
Witness::<C2>::dummy(self.cf_r1cs.A.n_cols - 1 - self.cf_r1cs.l, self.cf_E_len);
let cf_U_i = CommittedInstanceVar::<C2>::new_input(cs.clone(), || {
Ok(self.cf_U_i.unwrap_or_else(|| cf_u_dummy_native.clone()))
})?;
let cf_W_i = WitnessVar::<C2>::new_witness(cs.clone(), || {
Ok(self.cf_W_i.unwrap_or(w_dummy_native.clone()))
})?;
let cf_r1cs =
R1CSVar::<C2::ScalarField, CF1<C2>, FpVar<CF1<C2>>>::new_witness(cs.clone(), || {
Ok(self.cf_r1cs.clone())
})?;
// 6. check RelaxedR1CS of cf_U_i
let cf_z_U = [vec![cf_U_i.u.clone()], cf_U_i.x.to_vec(), cf_W_i.W.to_vec()].concat();
RelaxedR1CSGadget::check_native(cf_r1cs, cf_W_i.E, cf_U_i.u.clone(), cf_z_U)?;
// `transcript` is for challenge generation.
let mut transcript =
PoseidonSpongeVar::<C2::ScalarField>::new(cs.clone(), &self.poseidon_config);
transcript.absorb(&pp_hash)?;
// allocate the inputs for the check 7.1
let kzg_c_W = FpVar::<CF1<C2>>::new_input(cs.clone(), || {
Ok(self.kzg_c_W.unwrap_or_else(CF1::<C2>::zero))
})?;
let kzg_c_E = FpVar::<CF1<C2>>::new_input(cs.clone(), || {
Ok(self.kzg_c_E.unwrap_or_else(CF1::<C2>::zero))
})?;
// allocate the inputs for the check 7.2
let _eval_W = FpVar::<CF1<C2>>::new_input(cs.clone(), || {
Ok(self.eval_W.unwrap_or_else(CF1::<C2>::zero))
})?;
let _eval_E = FpVar::<CF1<C2>>::new_input(cs.clone(), || {
Ok(self.eval_E.unwrap_or_else(CF1::<C2>::zero))
})?;
// 7.1. check the KZG challenges correct computation
let (incircuit_c_W, incircuit_c_E) =
KZGChallengesGadget::<C2>::get_challenges_gadget(&mut transcript, cf_U_i.clone())?;
incircuit_c_W.enforce_equal(&kzg_c_W)?;
incircuit_c_E.enforce_equal(&kzg_c_E)?;
// Check 7.2 is temporary disabled due
// https://github.com/privacy-scaling-explorations/sonobe/issues/80
log::warn!("[WARNING]: issue #80 (https://github.com/privacy-scaling-explorations/sonobe/issues/80) is not resolved yet.");
// 7.2. check eval_W==p_W(c_W) and eval_E==p_E(c_E)
// let incircuit_eval_W = evaluate_gadget::<CF1<C1>>(W_i1.W, incircuit_c_W)?;
// let incircuit_eval_E = evaluate_gadget::<CF1<C1>>(W_i1.E, incircuit_c_E)?;
// incircuit_eval_W.enforce_equal(&eval_W)?;
// incircuit_eval_E.enforce_equal(&eval_E)?;
Ok(())
}
}
#[cfg(test)]
pub mod tests {
use ark_pallas::{constraints::GVar, Fq, Fr, Projective};
use ark_relations::r1cs::ConstraintSystem;
use ark_std::One;
use ark_vesta::{constraints::GVar as GVar2, Projective as Projective2};
use super::*;
use crate::commitment::pedersen::Pedersen;
use crate::folding::nova::PreprocessorParam;
use crate::frontend::utils::CubicFCircuit;
use crate::transcript::poseidon::poseidon_canonical_config;
use crate::FoldingScheme;
#[test]
fn test_decider_circuits() {
let mut rng = ark_std::test_rng();
let poseidon_config = poseidon_canonical_config::<Fr>();
let F_circuit = CubicFCircuit::<Fr>::new(()).unwrap();
let z_0 = vec![Fr::from(3_u32)];
type N = Nova<
Projective,
GVar,
Projective2,
GVar2,
CubicFCircuit<Fr>,
Pedersen<Projective>,
Pedersen<Projective2>,
false,
>;
let prep_param = PreprocessorParam::<
Projective,
Projective2,
CubicFCircuit<Fr>,
Pedersen<Projective>,
Pedersen<Projective2>,
false,
>::new(poseidon_config, F_circuit);
let nova_params = N::preprocess(&mut rng, &prep_param).unwrap();
// generate a Nova instance and do a step of it
let mut nova = N::init(&nova_params, F_circuit, z_0.clone()).unwrap();
nova.prove_step(&mut rng, vec![], None).unwrap();
let ivc_v = nova.clone();
let (running_instance, incoming_instance, cyclefold_instance) = ivc_v.instances();
N::verify(
nova_params.1, // verifier_params
z_0,
ivc_v.z_i,
Fr::one(),
running_instance,
incoming_instance,
cyclefold_instance,
)
.unwrap();
// load the DeciderCircuit 1 & 2 from the Nova instance
let decider_circuit1 =
DeciderCircuit1::<Projective, Projective2, GVar2>::from_nova(nova.clone()).unwrap();
let decider_circuit2 =
DeciderCircuit2::<Projective, GVar, Projective2>::from_nova(nova).unwrap();
// generate the constraints of both circuits and check that are satisfied by the inputs
let cs1 = ConstraintSystem::<Fr>::new_ref();
decider_circuit1.generate_constraints(cs1.clone()).unwrap();
assert!(cs1.is_satisfied().unwrap());
let cs2 = ConstraintSystem::<Fq>::new_ref();
decider_circuit2.generate_constraints(cs2.clone()).unwrap();
assert!(cs2.is_satisfied().unwrap());
}
}

+ 2
- 0
folding-schemes/src/folding/nova/decider_eth.rs

@ -1,4 +1,6 @@
/// This file implements the Nova's onchain (Ethereum's EVM) decider. /// This file implements the Nova's onchain (Ethereum's EVM) decider.
/// More details can be found at the documentation page:
/// https://privacy-scaling-explorations.github.io/sonobe-docs/design/nova-decider-onchain.html
use ark_bn254::Bn254; use ark_bn254::Bn254;
use ark_crypto_primitives::sponge::Absorb; use ark_crypto_primitives::sponge::Absorb;
use ark_ec::{AffineRepr, CurveGroup, Group}; use ark_ec::{AffineRepr, CurveGroup, Group};

+ 26
- 18
folding-schemes/src/folding/nova/decider_eth_circuit.rs

@ -1,5 +1,7 @@
/// This file implements the onchain (Ethereum's EVM) decider circuit. For non-ethereum use cases, /// This file implements the onchain (Ethereum's EVM) decider circuit. For non-ethereum use cases,
/// other more efficient approaches can be used. /// other more efficient approaches can be used.
/// More details can be found at the documentation page:
/// https://privacy-scaling-explorations.github.io/sonobe-docs/design/nova-decider-onchain.html
use ark_crypto_primitives::sponge::{ use ark_crypto_primitives::sponge::{
constraints::CryptographicSpongeVar, constraints::CryptographicSpongeVar,
poseidon::{constraints::PoseidonSpongeVar, PoseidonConfig, PoseidonSponge}, poseidon::{constraints::PoseidonSpongeVar, PoseidonConfig, PoseidonSponge},
@ -374,13 +376,14 @@ where
Ok(self.W_i1.unwrap_or(w_dummy_native.clone())) Ok(self.W_i1.unwrap_or(w_dummy_native.clone()))
})?; })?;
// allocate the inputs for the check 6
// allocate the inputs for the check 5.1
let kzg_c_W = FpVar::<CF1<C1>>::new_input(cs.clone(), || { let kzg_c_W = FpVar::<CF1<C1>>::new_input(cs.clone(), || {
Ok(self.kzg_c_W.unwrap_or_else(CF1::<C1>::zero)) Ok(self.kzg_c_W.unwrap_or_else(CF1::<C1>::zero))
})?; })?;
let kzg_c_E = FpVar::<CF1<C1>>::new_input(cs.clone(), || { let kzg_c_E = FpVar::<CF1<C1>>::new_input(cs.clone(), || {
Ok(self.kzg_c_E.unwrap_or_else(CF1::<C1>::zero)) Ok(self.kzg_c_E.unwrap_or_else(CF1::<C1>::zero))
})?; })?;
// allocate the inputs for the check 5.2
let _eval_W = FpVar::<CF1<C1>>::new_input(cs.clone(), || { let _eval_W = FpVar::<CF1<C1>>::new_input(cs.clone(), || {
Ok(self.eval_W.unwrap_or_else(CF1::<C1>::zero)) Ok(self.eval_W.unwrap_or_else(CF1::<C1>::zero))
})?; })?;
@ -393,10 +396,8 @@ where
// `transcript` is for challenge generation. // `transcript` is for challenge generation.
let mut transcript = sponge.clone(); let mut transcript = sponge.clone();
// 1. check RelaxedR1CS of U_{i+1}
let z_U1: Vec<FpVar<CF1<C1>>> =
[vec![U_i1.u.clone()], U_i1.x.to_vec(), W_i1.W.to_vec()].concat();
RelaxedR1CSGadget::check_native(r1cs, W_i1.E.clone(), U_i1.u.clone(), z_U1)?;
// The following enumeration of the steps matches the one used at the documentation page
// https://privacy-scaling-explorations.github.io/sonobe-docs/design/nova-decider-onchain.html
// 2. u_i.cmE==cm(0), u_i.u==1 // 2. u_i.cmE==cm(0), u_i.u==1
// Here zero is the x & y coordinates of the zero point affine representation. // Here zero is the x & y coordinates of the zero point affine representation.
@ -409,6 +410,11 @@ where
let (u_i_x, U_i_vec) = U_i.clone().hash(&sponge, &pp_hash, &i, &z_0, &z_i)?; let (u_i_x, U_i_vec) = U_i.clone().hash(&sponge, &pp_hash, &i, &z_0, &z_i)?;
(u_i.x[0]).enforce_equal(&u_i_x)?; (u_i.x[0]).enforce_equal(&u_i_x)?;
// 4. check RelaxedR1CS of U_{i+1}
let z_U1: Vec<FpVar<CF1<C1>>> =
[vec![U_i1.u.clone()], U_i1.x.to_vec(), W_i1.W.to_vec()].concat();
RelaxedR1CSGadget::check_native(r1cs, W_i1.E.clone(), U_i1.u.clone(), z_U1)?;
#[cfg(feature = "light-test")] #[cfg(feature = "light-test")]
log::warn!("[WARNING]: Running with the 'light-test' feature, skipping the big part of the DeciderEthCircuit.\n Only for testing purposes."); log::warn!("[WARNING]: Running with the 'light-test' feature, skipping the big part of the DeciderEthCircuit.\n Only for testing purposes.");
@ -446,7 +452,7 @@ where
let (cf_u_i_x, _) = cf_U_i.clone().hash(&sponge, pp_hash.clone())?; let (cf_u_i_x, _) = cf_U_i.clone().hash(&sponge, pp_hash.clone())?;
(u_i.x[1]).enforce_equal(&cf_u_i_x)?; (u_i.x[1]).enforce_equal(&cf_u_i_x)?;
// 4. check Pedersen commitments of cf_U_i.{cmE, cmW}
// 7. check Pedersen commitments of cf_U_i.{cmE, cmW}
let H = GC2::new_constant(cs.clone(), self.cf_pedersen_params.h)?; let H = GC2::new_constant(cs.clone(), self.cf_pedersen_params.h)?;
let G = Vec::<GC2>::new_constant(cs.clone(), self.cf_pedersen_params.generators)?; let G = Vec::<GC2>::new_constant(cs.clone(), self.cf_pedersen_params.generators)?;
let cf_W_i_E_bits: Result<Vec<Vec<Boolean<CF1<C1>>>>, SynthesisError> = let cf_W_i_E_bits: Result<Vec<Vec<Boolean<CF1<C1>>>>, SynthesisError> =
@ -471,17 +477,18 @@ where
|| Ok(self.cf_r1cs.clone()), || Ok(self.cf_r1cs.clone()),
)?; )?;
// 5. check RelaxedR1CS of cf_U_i
// 6. check RelaxedR1CS of cf_U_i (CycleFold instance)
let cf_z_U = [vec![cf_U_i.u.clone()], cf_U_i.x.to_vec(), cf_W_i.W.to_vec()].concat(); let cf_z_U = [vec![cf_U_i.u.clone()], cf_U_i.x.to_vec(), cf_W_i.W.to_vec()].concat();
RelaxedR1CSGadget::check_nonnative(cf_r1cs, cf_W_i.E, cf_U_i.u.clone(), cf_z_U)?; RelaxedR1CSGadget::check_nonnative(cf_r1cs, cf_W_i.E, cf_U_i.u.clone(), cf_z_U)?;
} }
// 8.a, 6.a compute NIFS.V and KZG challenges.
// 1.1.a, 5.1. compute NIFS.V and KZG challenges.
// We need to ensure the order of challenge generation is the same as // We need to ensure the order of challenge generation is the same as
// the native counterpart, so we first compute the challenges here and // the native counterpart, so we first compute the challenges here and
// do the actual checks later. // do the actual checks later.
let cmT = let cmT =
NonNativeAffineVar::new_input(cs.clone(), || Ok(self.cmT.unwrap_or_else(C1::zero)))?; NonNativeAffineVar::new_input(cs.clone(), || Ok(self.cmT.unwrap_or_else(C1::zero)))?;
// 1.1.a
let r_bits = ChallengeGadget::<C1>::get_challenge_gadget( let r_bits = ChallengeGadget::<C1>::get_challenge_gadget(
&mut transcript, &mut transcript,
pp_hash, pp_hash,
@ -489,25 +496,24 @@ where
u_i.clone(), u_i.clone(),
cmT.clone(), cmT.clone(),
)?; )?;
// 5.1.
let (incircuit_c_W, incircuit_c_E) = let (incircuit_c_W, incircuit_c_E) =
KZGChallengesGadget::<C1>::get_challenges_gadget(&mut transcript, U_i1.clone())?; KZGChallengesGadget::<C1>::get_challenges_gadget(&mut transcript, U_i1.clone())?;
// 6.b check KZG challenges
incircuit_c_W.enforce_equal(&kzg_c_W)?; incircuit_c_W.enforce_equal(&kzg_c_W)?;
incircuit_c_E.enforce_equal(&kzg_c_E)?; incircuit_c_E.enforce_equal(&kzg_c_E)?;
// Check 7 is temporary disabled due
// Check 5.2 is temporary disabled due
// https://github.com/privacy-scaling-explorations/sonobe/issues/80 // https://github.com/privacy-scaling-explorations/sonobe/issues/80
log::warn!("[WARNING]: issue #80 (https://github.com/privacy-scaling-explorations/sonobe/issues/80) is not resolved yet."); log::warn!("[WARNING]: issue #80 (https://github.com/privacy-scaling-explorations/sonobe/issues/80) is not resolved yet.");
// //
// 7. check eval_W==p_W(c_W) and eval_E==p_E(c_E)
// 5.2. check eval_W==p_W(c_W) and eval_E==p_E(c_E)
// let incircuit_eval_W = evaluate_gadget::<CF1<C1>>(W_i1.W, incircuit_c_W)?; // let incircuit_eval_W = evaluate_gadget::<CF1<C1>>(W_i1.W, incircuit_c_W)?;
// let incircuit_eval_E = evaluate_gadget::<CF1<C1>>(W_i1.E, incircuit_c_E)?; // let incircuit_eval_E = evaluate_gadget::<CF1<C1>>(W_i1.E, incircuit_c_E)?;
// incircuit_eval_W.enforce_equal(&eval_W)?; // incircuit_eval_W.enforce_equal(&eval_W)?;
// incircuit_eval_E.enforce_equal(&eval_E)?; // incircuit_eval_E.enforce_equal(&eval_E)?;
// 8.b check the NIFS.V challenge matches the one from the public input (so we
// avoid the verifier computing it)
// 1.1.b check that the NIFS.V challenge matches the one from the public input (so we avoid
// the verifier computing it)
let r_Fr = Boolean::le_bits_to_fp_var(&r_bits)?; let r_Fr = Boolean::le_bits_to_fp_var(&r_bits)?;
// check that the in-circuit computed r is equal to the inputted r // check that the in-circuit computed r is equal to the inputted r
let r = let r =
@ -785,7 +791,7 @@ pub mod tests {
} }
#[test] #[test]
fn test_decider_circuit() {
fn test_decider_eth_circuit() {
let mut rng = ark_std::test_rng(); let mut rng = ark_std::test_rng();
let poseidon_config = poseidon_canonical_config::<Fr>(); let poseidon_config = poseidon_canonical_config::<Fr>();
@ -829,8 +835,8 @@ pub mod tests {
) )
.unwrap(); .unwrap();
// load the DeciderEthCircuit from the generated Nova instance
let decider_circuit = DeciderEthCircuit::<
// load the DeciderEthCircuit from the Nova instance
let decider_eth_circuit = DeciderEthCircuit::<
Projective, Projective,
GVar, GVar,
Projective2, Projective2,
@ -843,7 +849,9 @@ pub mod tests {
let cs = ConstraintSystem::<Fr>::new_ref(); let cs = ConstraintSystem::<Fr>::new_ref();
// generate the constraints and check that are satisfied by the inputs // generate the constraints and check that are satisfied by the inputs
decider_circuit.generate_constraints(cs.clone()).unwrap();
decider_eth_circuit
.generate_constraints(cs.clone())
.unwrap();
assert!(cs.is_satisfied().unwrap()); assert!(cs.is_satisfied().unwrap());
} }

+ 9
- 4
folding-schemes/src/folding/nova/mod.rs

@ -32,15 +32,20 @@ use crate::{
utils::{get_cm_coordinates, pp_hash}, utils::{get_cm_coordinates, pp_hash},
}; };
use circuits::{AugmentedFCircuit, ChallengeGadget, CommittedInstanceVar};
use nifs::NIFS;
pub mod circuits; pub mod circuits;
pub mod decider_eth;
pub mod decider_eth_circuit;
pub mod nifs; pub mod nifs;
pub mod serialize; pub mod serialize;
pub mod traits; pub mod traits;
pub mod zk; pub mod zk;
use circuits::{AugmentedFCircuit, ChallengeGadget, CommittedInstanceVar};
use nifs::NIFS;
// offchain decider
pub mod decider_circuits;
// onchain decider
pub mod decider_eth;
pub mod decider_eth_circuit;
use super::traits::{CommittedInstanceOps, WitnessOps}; use super::traits::{CommittedInstanceOps, WitnessOps};

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