The HyperNova's DeciderEthCircuit follows a similar logic as Nova's one described in https://privacy-scaling-explorations.github.io/sonobe-docs/design/nova-decider-onchain.html but adapted to HyperNova checks and values.update-nifs-interface
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|
/// This file implements the onchain (Ethereum's EVM) decider circuit. For non-ethereum use cases,
|
||||
|
/// other more efficient approaches can be used.
|
||||
|
use ark_crypto_primitives::sponge::{
|
||||
|
constraints::CryptographicSpongeVar,
|
||||
|
poseidon::{constraints::PoseidonSpongeVar, PoseidonConfig, PoseidonSponge},
|
||||
|
Absorb, CryptographicSponge,
|
||||
|
};
|
||||
|
use ark_ec::{CurveGroup, Group};
|
||||
|
use ark_ff::PrimeField;
|
||||
|
use ark_poly::Polynomial;
|
||||
|
use ark_r1cs_std::{
|
||||
|
alloc::{AllocVar, AllocationMode},
|
||||
|
boolean::Boolean,
|
||||
|
eq::EqGadget,
|
||||
|
fields::fp::FpVar,
|
||||
|
groups::GroupOpsBounds,
|
||||
|
prelude::CurveVar,
|
||||
|
ToConstraintFieldGadget,
|
||||
|
};
|
||||
|
use ark_relations::r1cs::{ConstraintSynthesizer, ConstraintSystemRef, Namespace, SynthesisError};
|
||||
|
use ark_std::Zero;
|
||||
|
use core::{borrow::Borrow, marker::PhantomData};
|
||||
|
|
||||
|
use super::{
|
||||
|
circuits::{CCCSVar, LCCCSVar, NIMFSGadget, ProofVar as NIMFSProofVar},
|
||||
|
nimfs::{NIMFSProof, NIMFS},
|
||||
|
HyperNova, Witness, CCCS, LCCCS,
|
||||
|
};
|
||||
|
use crate::arith::ccs::CCS;
|
||||
|
use crate::arith::r1cs::R1CS;
|
||||
|
use crate::commitment::{pedersen::Params as PedersenParams, CommitmentScheme};
|
||||
|
use crate::folding::circuits::{
|
||||
|
cyclefold::{CycleFoldCommittedInstance, CycleFoldWitness},
|
||||
|
CF1, CF2,
|
||||
|
};
|
||||
|
use crate::frontend::FCircuit;
|
||||
|
use crate::transcript::{Transcript, TranscriptVar};
|
||||
|
use crate::utils::{
|
||||
|
gadgets::{eval_mle, MatrixGadget, SparseMatrixVar},
|
||||
|
vec::poly_from_vec,
|
||||
|
};
|
||||
|
use crate::Error;
|
||||
|
|
||||
|
/// In-circuit representation of the Witness associated to the CommittedInstance.
|
||||
|
#[derive(Debug, Clone)]
|
||||
|
pub struct WitnessVar<F: PrimeField> {
|
||||
|
pub w: Vec<FpVar<F>>,
|
||||
|
pub r_w: FpVar<F>,
|
||||
|
}
|
||||
|
|
||||
|
impl<F: PrimeField> AllocVar<Witness<F>, F> for WitnessVar<F> {
|
||||
|
fn new_variable<T: Borrow<Witness<F>>>(
|
||||
|
cs: impl Into<Namespace<F>>,
|
||||
|
f: impl FnOnce() -> Result<T, SynthesisError>,
|
||||
|
mode: AllocationMode,
|
||||
|
) -> Result<Self, SynthesisError> {
|
||||
|
f().and_then(|val| {
|
||||
|
let cs = cs.into();
|
||||
|
|
||||
|
let w: Vec<FpVar<F>> =
|
||||
|
Vec::new_variable(cs.clone(), || Ok(val.borrow().w.clone()), mode)?;
|
||||
|
let r_w = FpVar::<F>::new_variable(cs.clone(), || Ok(val.borrow().r_w), mode)?;
|
||||
|
|
||||
|
Ok(Self { w, r_w })
|
||||
|
})
|
||||
|
}
|
||||
|
}
|
||||
|
|
||||
|
/// CCSMatricesVar contains the matrices 'M' of the CCS without the rest of CCS parameters.
|
||||
|
#[derive(Debug, Clone)]
|
||||
|
pub struct CCSMatricesVar<F: PrimeField> {
|
||||
|
// we only need native representation, so the constraint field==F
|
||||
|
pub M: Vec<SparseMatrixVar<F, F, FpVar<F>>>,
|
||||
|
}
|
||||
|
|
||||
|
impl<F> AllocVar<CCS<F>, F> for CCSMatricesVar<F>
|
||||
|
where
|
||||
|
F: PrimeField,
|
||||
|
{
|
||||
|
fn new_variable<T: Borrow<CCS<F>>>(
|
||||
|
cs: impl Into<Namespace<F>>,
|
||||
|
f: impl FnOnce() -> Result<T, SynthesisError>,
|
||||
|
_mode: AllocationMode,
|
||||
|
) -> Result<Self, SynthesisError> {
|
||||
|
f().and_then(|val| {
|
||||
|
let cs = cs.into();
|
||||
|
|
||||
|
let M: Vec<SparseMatrixVar<F, F, FpVar<F>>> = val
|
||||
|
.borrow()
|
||||
|
.M
|
||||
|
.iter()
|
||||
|
.map(|M| SparseMatrixVar::<F, F, FpVar<F>>::new_constant(cs.clone(), M.clone()))
|
||||
|
.collect::<Result<_, SynthesisError>>()?;
|
||||
|
|
||||
|
Ok(Self { M })
|
||||
|
})
|
||||
|
}
|
||||
|
}
|
||||
|
|
||||
|
/// Gadget to check the LCCCS relation both over the native constraint field and over the
|
||||
|
/// non-native constraint field.
|
||||
|
#[derive(Debug, Clone)]
|
||||
|
pub struct LCCCSCheckerGadget {}
|
||||
|
impl LCCCSCheckerGadget {
|
||||
|
/// performs in-circuit the RelaxedR1CS check for native variables (Az∘Bz==uCz+E)
|
||||
|
pub fn check<F: PrimeField>(
|
||||
|
s: usize,
|
||||
|
ccs_mat: CCSMatricesVar<F>,
|
||||
|
z: Vec<FpVar<F>>,
|
||||
|
// LCCCS values
|
||||
|
r_x: Vec<FpVar<F>>,
|
||||
|
v: Vec<FpVar<F>>,
|
||||
|
) -> Result<(), SynthesisError> {
|
||||
|
let computed_v: Vec<FpVar<F>> = ccs_mat
|
||||
|
.M
|
||||
|
.iter()
|
||||
|
.map(|M_j| {
|
||||
|
let Mz = M_j.mul_vector(&z)?;
|
||||
|
Ok(eval_mle(s, Mz, r_x.clone()))
|
||||
|
})
|
||||
|
.collect::<Result<Vec<FpVar<F>>, SynthesisError>>()?;
|
||||
|
|
||||
|
(computed_v).enforce_equal(&v)?;
|
||||
|
Ok(())
|
||||
|
}
|
||||
|
}
|
||||
|
|
||||
|
/// Circuit that implements the in-circuit checks needed for the HyperNova's onchain (Ethereum's
|
||||
|
/// EVM) verification.
|
||||
|
#[derive(Clone, Debug)]
|
||||
|
pub struct DeciderEthCircuit<C1, GC1, C2, GC2, CS1, CS2, const H: bool = false>
|
||||
|
where
|
||||
|
C1: CurveGroup,
|
||||
|
GC1: CurveVar<C1, CF2<C1>>,
|
||||
|
C2: CurveGroup,
|
||||
|
GC2: CurveVar<C2, CF2<C2>>,
|
||||
|
CS1: CommitmentScheme<C1, H>,
|
||||
|
CS2: CommitmentScheme<C2, H>,
|
||||
|
{
|
||||
|
_c1: PhantomData<C1>,
|
||||
|
_gc1: PhantomData<GC1>,
|
||||
|
_c2: PhantomData<C2>,
|
||||
|
_gc2: PhantomData<GC2>,
|
||||
|
_cs1: PhantomData<CS1>,
|
||||
|
_cs2: PhantomData<CS2>,
|
||||
|
|
||||
|
/// E vector's length of the CycleFold instance witness
|
||||
|
pub cf_E_len: usize,
|
||||
|
/// CCS of the Augmented Function circuit
|
||||
|
pub ccs: CCS<C1::ScalarField>,
|
||||
|
/// R1CS of the CycleFold circuit
|
||||
|
pub cf_r1cs: R1CS<C2::ScalarField>,
|
||||
|
/// CycleFold PedersenParams over C2
|
||||
|
pub cf_pedersen_params: PedersenParams<C2>,
|
||||
|
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<LCCCS<C1>>,
|
||||
|
pub W_i: Option<Witness<C1::ScalarField>>,
|
||||
|
pub u_i: Option<CCCS<C1>>,
|
||||
|
pub w_i: Option<Witness<C1::ScalarField>>,
|
||||
|
pub U_i1: Option<LCCCS<C1>>,
|
||||
|
pub W_i1: Option<Witness<C1::ScalarField>>,
|
||||
|
pub nimfs_proof: Option<NIMFSProof<C1>>,
|
||||
|
// rho_0 is the first and only rho in the 'rho_powers' array, since it comes from NIMFS-folding
|
||||
|
// only 2 instances.
|
||||
|
pub rho_0: Option<C1::ScalarField>,
|
||||
|
/// CycleFold running instance
|
||||
|
pub cf_U_i: Option<CycleFoldCommittedInstance<C2>>,
|
||||
|
pub cf_W_i: Option<CycleFoldWitness<C2>>,
|
||||
|
|
||||
|
/// KZG challenge & eval
|
||||
|
pub kzg_challenge: Option<C1::ScalarField>,
|
||||
|
pub eval_W: Option<C1::ScalarField>,
|
||||
|
}
|
||||
|
|
||||
|
impl<C1, GC1, C2, GC2, CS1, CS2, const H: bool> DeciderEthCircuit<C1, GC1, C2, GC2, CS1, CS2, H>
|
||||
|
where
|
||||
|
C1: CurveGroup,
|
||||
|
C2: CurveGroup,
|
||||
|
GC1: CurveVar<C1, CF2<C1>> + ToConstraintFieldGadget<CF2<C1>>,
|
||||
|
GC2: CurveVar<C2, CF2<C2>> + ToConstraintFieldGadget<CF2<C2>>,
|
||||
|
CS1: CommitmentScheme<C1, H>,
|
||||
|
// enforce that the CS2 is Pedersen commitment scheme, since we're at Ethereum's EVM decider
|
||||
|
CS2: CommitmentScheme<C2, H, ProverParams = PedersenParams<C2>>,
|
||||
|
<C1 as Group>::ScalarField: Absorb,
|
||||
|
<C1 as CurveGroup>::BaseField: PrimeField,
|
||||
|
{
|
||||
|
/// returns an instance of the DeciderEthCircuit from the given HyperNova struct
|
||||
|
pub fn from_hypernova<FC: FCircuit<C1::ScalarField>, const MU: usize, const NU: usize>(
|
||||
|
hn: HyperNova<C1, GC1, C2, GC2, FC, CS1, CS2, MU, NU, H>,
|
||||
|
) -> Result<Self, Error> {
|
||||
|
// compute the U_{i+1}, W_{i+1}, by folding the last running & incoming instances
|
||||
|
let mut transcript = PoseidonSponge::<C1::ScalarField>::new(&hn.poseidon_config);
|
||||
|
transcript.absorb(&hn.pp_hash);
|
||||
|
let (nimfs_proof, U_i1, W_i1, rho_powers) =
|
||||
|
NIMFS::<C1, PoseidonSponge<C1::ScalarField>>::prove(
|
||||
|
&mut transcript,
|
||||
|
&hn.ccs,
|
||||
|
&[hn.U_i.clone()],
|
||||
|
&[hn.u_i.clone()],
|
||||
|
&[hn.W_i.clone()],
|
||||
|
&[hn.w_i.clone()],
|
||||
|
)?;
|
||||
|
|
||||
|
// compute the KZG challenges used as inputs in the circuit
|
||||
|
let kzg_challenge =
|
||||
|
KZGChallengeGadget::<C1>::get_challenge_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 p_W = poly_from_vec(W.to_vec())?;
|
||||
|
let eval_W = p_W.evaluate(&kzg_challenge);
|
||||
|
|
||||
|
// ensure that we only have 1 element in rho_powers, since we only NIMFS-fold 2 instances
|
||||
|
if rho_powers.len() != 1 {
|
||||
|
return Err(Error::NotExpectedLength(rho_powers.len(), 1));
|
||||
|
}
|
||||
|
|
||||
|
Ok(Self {
|
||||
|
_c1: PhantomData,
|
||||
|
_gc1: PhantomData,
|
||||
|
_c2: PhantomData,
|
||||
|
_gc2: PhantomData,
|
||||
|
_cs1: PhantomData,
|
||||
|
_cs2: PhantomData,
|
||||
|
|
||||
|
cf_E_len: hn.cf_W_i.E.len(),
|
||||
|
ccs: hn.ccs,
|
||||
|
cf_r1cs: hn.cf_r1cs,
|
||||
|
cf_pedersen_params: hn.cf_cs_params,
|
||||
|
poseidon_config: hn.poseidon_config,
|
||||
|
pp_hash: Some(hn.pp_hash),
|
||||
|
i: Some(hn.i),
|
||||
|
z_0: Some(hn.z_0),
|
||||
|
z_i: Some(hn.z_i),
|
||||
|
U_i: Some(hn.U_i),
|
||||
|
W_i: Some(hn.W_i),
|
||||
|
u_i: Some(hn.u_i),
|
||||
|
w_i: Some(hn.w_i),
|
||||
|
U_i1: Some(U_i1),
|
||||
|
W_i1: Some(W_i1),
|
||||
|
nimfs_proof: Some(nimfs_proof),
|
||||
|
rho_0: Some(rho_powers[0]),
|
||||
|
cf_U_i: Some(hn.cf_U_i),
|
||||
|
cf_W_i: Some(hn.cf_W_i),
|
||||
|
kzg_challenge: Some(kzg_challenge),
|
||||
|
eval_W: Some(eval_W),
|
||||
|
})
|
||||
|
}
|
||||
|
}
|
||||
|
|
||||
|
impl<C1, GC1, C2, GC2, CS1, CS2> ConstraintSynthesizer<CF1<C1>>
|
||||
|
for DeciderEthCircuit<C1, GC1, C2, GC2, CS1, CS2>
|
||||
|
where
|
||||
|
C1: CurveGroup,
|
||||
|
C2: CurveGroup,
|
||||
|
GC1: CurveVar<C1, CF2<C1>>,
|
||||
|
GC2: CurveVar<C2, CF2<C2>> + ToConstraintFieldGadget<CF2<C2>>,
|
||||
|
CS1: CommitmentScheme<C1>,
|
||||
|
CS2: CommitmentScheme<C2>,
|
||||
|
C1::ScalarField: PrimeField,
|
||||
|
<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>,
|
||||
|
for<'b> &'b GC2: GroupOpsBounds<'b, C2, GC2>,
|
||||
|
{
|
||||
|
fn generate_constraints(self, cs: ConstraintSystemRef<CF1<C1>>) -> Result<(), SynthesisError> {
|
||||
|
let ccs_matrices =
|
||||
|
CCSMatricesVar::<C1::ScalarField>::new_witness(cs.clone(), || Ok(self.ccs.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 = LCCCS::<C1>::dummy(self.ccs.l, self.ccs.t, self.ccs.s);
|
||||
|
let u_dummy_native = CCCS::<C1>::dummy(self.ccs.l);
|
||||
|
let w_dummy_native = Witness::<C1::ScalarField>::new(
|
||||
|
vec![C1::ScalarField::zero(); self.ccs.n - 3 /* (3=2+1, since u_i.x.len=2) */],
|
||||
|
);
|
||||
|
|
||||
|
let U_i = LCCCSVar::<C1>::new_witness(cs.clone(), || {
|
||||
|
Ok(self.U_i.unwrap_or(U_dummy_native.clone()))
|
||||
|
})?;
|
||||
|
let u_i = CCCSVar::<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 = LCCCSVar::<C1>::new_input(cs.clone(), || {
|
||||
|
Ok(self.U_i1.unwrap_or(U_dummy_native.clone()))
|
||||
|
})?;
|
||||
|
let W_i1 = WitnessVar::<C1::ScalarField>::new_witness(cs.clone(), || {
|
||||
|
Ok(self.W_i1.unwrap_or(w_dummy_native.clone()))
|
||||
|
})?;
|
||||
|
let nimfs_proof_dummy = NIMFSProof::<C1>::dummy(&self.ccs, 1, 1); // mu=1 & nu=1 because the last fold is 2-to-1
|
||||
|
let nimfs_proof = NIMFSProofVar::<C1>::new_witness(cs.clone(), || {
|
||||
|
Ok(self.nimfs_proof.unwrap_or(nimfs_proof_dummy))
|
||||
|
})?;
|
||||
|
|
||||
|
// allocate the inputs for the check 6
|
||||
|
let kzg_challenge = FpVar::<CF1<C1>>::new_input(cs.clone(), || {
|
||||
|
Ok(self.kzg_challenge.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))
|
||||
|
})?;
|
||||
|
|
||||
|
// `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();
|
||||
|
transcript.absorb(&pp_hash)?;
|
||||
|
|
||||
|
// NOTE: we use the same enumeration as in Nova's DeciderEthCircuit described at
|
||||
|
// https://privacy-scaling-explorations.github.io/sonobe-docs/design/nova-decider-onchain.html
|
||||
|
// in order to make it easier to reason about.
|
||||
|
|
||||
|
// 1. check LCCCS relation 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();
|
||||
|
LCCCSCheckerGadget::check(
|
||||
|
self.ccs.s,
|
||||
|
ccs_matrices,
|
||||
|
z_U1,
|
||||
|
U_i1.r_x.clone(),
|
||||
|
U_i1.v.clone(),
|
||||
|
)?;
|
||||
|
|
||||
|
// 3.a u_i.x[0] == H(i, z_0, z_i, U_i)
|
||||
|
let (u_i_x, _) = U_i.clone().hash(
|
||||
|
&sponge,
|
||||
|
pp_hash.clone(),
|
||||
|
i.clone(),
|
||||
|
z_0.clone(),
|
||||
|
z_i.clone(),
|
||||
|
)?;
|
||||
|
(u_i.x[0]).enforce_equal(&u_i_x)?;
|
||||
|
|
||||
|
#[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.");
|
||||
|
|
||||
|
// The following two checks (and their respective allocations) are disabled for normal
|
||||
|
// tests since they take several millions of constraints and would take several minutes
|
||||
|
// (and RAM) to run the test. It is active by default, and not active only when
|
||||
|
// 'light-test' feature is used.
|
||||
|
#[cfg(not(feature = "light-test"))]
|
||||
|
{
|
||||
|
// imports here instead of at the top of the file, so we avoid having multiple
|
||||
|
// `#[cfg(not(test))]`
|
||||
|
use crate::commitment::pedersen::PedersenGadget;
|
||||
|
use crate::folding::circuits::nonnative::uint::NonNativeUintVar;
|
||||
|
use crate::folding::nova::decider_eth_circuit::{R1CSVar, RelaxedR1CSGadget};
|
||||
|
use crate::folding::{
|
||||
|
circuits::cyclefold::{
|
||||
|
CycleFoldCommittedInstanceVar, CycleFoldConfig, CycleFoldWitnessVar,
|
||||
|
},
|
||||
|
nova::NovaCycleFoldConfig,
|
||||
|
};
|
||||
|
use ark_r1cs_std::ToBitsGadget;
|
||||
|
|
||||
|
let cf_u_dummy_native =
|
||||
|
CycleFoldCommittedInstance::<C2>::dummy(NovaCycleFoldConfig::<C1>::IO_LEN);
|
||||
|
let cf_w_dummy_native = CycleFoldWitness::<C2>::dummy(
|
||||
|
self.cf_r1cs.A.n_cols - 1 - self.cf_r1cs.l,
|
||||
|
self.cf_E_len,
|
||||
|
);
|
||||
|
let cf_U_i = CycleFoldCommittedInstanceVar::<C2, GC2>::new_witness(cs.clone(), || {
|
||||
|
Ok(self.cf_U_i.unwrap_or_else(|| cf_u_dummy_native.clone()))
|
||||
|
})?;
|
||||
|
let cf_W_i = CycleFoldWitnessVar::<C2>::new_witness(cs.clone(), || {
|
||||
|
Ok(self.cf_W_i.unwrap_or(cf_w_dummy_native.clone()))
|
||||
|
})?;
|
||||
|
|
||||
|
// 3.b u_i.x[1] == H(cf_U_i)
|
||||
|
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 Pedersen commitments of cf_U_i.{cmE, cmW}
|
||||
|
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 cf_W_i_E_bits: Result<Vec<Vec<Boolean<CF1<C1>>>>, SynthesisError> =
|
||||
|
cf_W_i.E.iter().map(|E_i| E_i.to_bits_le()).collect();
|
||||
|
let cf_W_i_W_bits: Result<Vec<Vec<Boolean<CF1<C1>>>>, SynthesisError> =
|
||||
|
cf_W_i.W.iter().map(|W_i| W_i.to_bits_le()).collect();
|
||||
|
|
||||
|
let computed_cmE = PedersenGadget::<C2, GC2>::commit(
|
||||
|
H.clone(),
|
||||
|
G.clone(),
|
||||
|
cf_W_i_E_bits?,
|
||||
|
cf_W_i.rE.to_bits_le()?,
|
||||
|
)?;
|
||||
|
cf_U_i.cmE.enforce_equal(&computed_cmE)?;
|
||||
|
let computed_cmW =
|
||||
|
PedersenGadget::<C2, GC2>::commit(H, G, cf_W_i_W_bits?, cf_W_i.rW.to_bits_le()?)?;
|
||||
|
cf_U_i.cmW.enforce_equal(&computed_cmW)?;
|
||||
|
|
||||
|
let cf_r1cs =
|
||||
|
R1CSVar::<C1::BaseField, CF1<C1>, NonNativeUintVar<CF1<C1>>>::new_witness(
|
||||
|
cs.clone(),
|
||||
|
|| Ok(self.cf_r1cs.clone()),
|
||||
|
)?;
|
||||
|
|
||||
|
// 5. 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_nonnative(cf_r1cs, cf_W_i.E, cf_U_i.u.clone(), cf_z_U)?;
|
||||
|
}
|
||||
|
|
||||
|
// The following steps are in non-increasing order because the `computed_U_i1` is computed
|
||||
|
// at step 8, and later used at step 6. Notice that in Nova, we compute U_i1 outside of the
|
||||
|
// circuit, in the smart contract, but here we're computing it in-circuit, and we reuse the
|
||||
|
// `rho_vec` computed along the way of computing `computed_U_i1` for the later `rho_powers`
|
||||
|
// check (6.b).
|
||||
|
|
||||
|
// Check 7 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. check eval_W==p_W(c_W)
|
||||
|
// let incircuit_eval_W = evaluate_gadget::<CF1<C1>>(W_i1.W, incircuit_c_W)?;
|
||||
|
// incircuit_eval_W.enforce_equal(&eval_W)?;
|
||||
|
|
||||
|
// 8.a verify the NIMFS.V of the final fold, and check that the obtained rho_powers from the
|
||||
|
// transcript match the one from the public input (so we avoid the onchain logic of the
|
||||
|
// verifier computing it).
|
||||
|
// Notice that the NIMFSGadget performs all the logic except of checking the fold of the
|
||||
|
// instances C parameter, which would require non-native arithmetic, henceforth we perform
|
||||
|
// that check outside the circuit.
|
||||
|
let (computed_U_i1, rho_vec) = NIMFSGadget::<C1>::verify(
|
||||
|
cs.clone(),
|
||||
|
&self.ccs.clone(),
|
||||
|
&mut transcript,
|
||||
|
&[U_i],
|
||||
|
&[u_i],
|
||||
|
nimfs_proof,
|
||||
|
Boolean::TRUE, // enabled
|
||||
|
)?;
|
||||
|
|
||||
|
// 6.a check KZG challenges
|
||||
|
// Notice that this step is done after the NIMFS.V, to follow the transcript absorbs order
|
||||
|
// done outside the circuit, where to compute the challenge it needs first to compute the
|
||||
|
// U_{i+1} through the NIMFS.V
|
||||
|
let incircuit_challenge =
|
||||
|
KZGChallengeGadget::<C1>::get_challenge_gadget(&mut transcript, U_i1.clone())?;
|
||||
|
incircuit_challenge.enforce_equal(&kzg_challenge)?;
|
||||
|
|
||||
|
// 6.b check that the obtained U_{i+1} from the NIMFS.V matches the U_{i+1} from the input,
|
||||
|
// except for the C parameter, which to compute its folding would require non-native logic
|
||||
|
// in-circuit, and we defer it to outside the circuit.
|
||||
|
computed_U_i1.u.enforce_equal(&U_i1.u)?;
|
||||
|
computed_U_i1.r_x.enforce_equal(&U_i1.r_x)?;
|
||||
|
computed_U_i1.v.enforce_equal(&U_i1.v)?;
|
||||
|
|
||||
|
// 8.b check that the in-circuit computed r is equal to the inputted r.
|
||||
|
// Notice that rho_vec only contains one element, since at the final fold we are only
|
||||
|
// folding 2-to-1 instances.
|
||||
|
|
||||
|
// Ensure that rho_vec is of length 1, note that this is not enforced at the constraint
|
||||
|
// level but more as a check for the prover.
|
||||
|
if rho_vec.len() != 1 {
|
||||
|
return Err(SynthesisError::Unsatisfiable);
|
||||
|
}
|
||||
|
|
||||
|
let rho_0 = Boolean::le_bits_to_fp_var(&rho_vec[0])?;
|
||||
|
let external_rho_0 = FpVar::<CF1<C1>>::new_input(cs.clone(), || {
|
||||
|
Ok(self.rho_0.unwrap_or(CF1::<C1>::zero()))
|
||||
|
})?;
|
||||
|
rho_0.enforce_equal(&external_rho_0)?;
|
||||
|
|
||||
|
Ok(())
|
||||
|
}
|
||||
|
}
|
||||
|
|
||||
|
/// Gadget that computes the KZG challenges, also offers the rust native implementation compatible
|
||||
|
/// with the gadget.
|
||||
|
pub struct KZGChallengeGadget<C: CurveGroup> {
|
||||
|
_c: PhantomData<C>,
|
||||
|
}
|
||||
|
#[allow(clippy::type_complexity)]
|
||||
|
impl<C> KZGChallengeGadget<C>
|
||||
|
where
|
||||
|
C: CurveGroup,
|
||||
|
C::ScalarField: PrimeField,
|
||||
|
<C as CurveGroup>::BaseField: PrimeField,
|
||||
|
C::ScalarField: Absorb,
|
||||
|
{
|
||||
|
pub fn get_challenge_native<T: Transcript<C::ScalarField>>(
|
||||
|
transcript: &mut T,
|
||||
|
U_i: LCCCS<C>,
|
||||
|
) -> Result<C::ScalarField, Error> {
|
||||
|
// compute the KZG challenges, which are computed in-circuit and checked that it matches
|
||||
|
// the inputted one
|
||||
|
transcript.absorb_nonnative(&U_i.C);
|
||||
|
Ok(transcript.get_challenge())
|
||||
|
}
|
||||
|
// compatible with the native get_challenge_native
|
||||
|
pub fn get_challenge_gadget<S: CryptographicSponge, T: TranscriptVar<CF1<C>, S>>(
|
||||
|
transcript: &mut T,
|
||||
|
U_i: LCCCSVar<C>,
|
||||
|
) -> Result<FpVar<C::ScalarField>, SynthesisError> {
|
||||
|
transcript.absorb(&U_i.C.to_constraint_field()?)?;
|
||||
|
transcript.get_challenge()
|
||||
|
}
|
||||
|
}
|
||||
|
|
||||
|
#[cfg(test)]
|
||||
|
pub mod tests {
|
||||
|
use ark_bn254::{constraints::GVar, Fr, G1Projective as Projective};
|
||||
|
use ark_grumpkin::{constraints::GVar as GVar2, Projective as Projective2};
|
||||
|
use ark_relations::r1cs::ConstraintSystem;
|
||||
|
use ark_std::One;
|
||||
|
use ark_std::{test_rng, UniformRand};
|
||||
|
|
||||
|
use super::*;
|
||||
|
use crate::commitment::pedersen::Pedersen;
|
||||
|
use crate::folding::nova::PreprocessorParam;
|
||||
|
use crate::frontend::tests::CubicFCircuit;
|
||||
|
use crate::transcript::poseidon::poseidon_canonical_config;
|
||||
|
use crate::FoldingScheme;
|
||||
|
|
||||
|
#[test]
|
||||
|
fn test_lcccs_checker_gadget() {
|
||||
|
let mut rng = test_rng();
|
||||
|
let n_rows = 2_u32.pow(5) as usize;
|
||||
|
let n_cols = 2_u32.pow(5) as usize;
|
||||
|
let r1cs = R1CS::<Fr>::rand(&mut rng, n_rows, n_cols);
|
||||
|
let ccs = CCS::from_r1cs(r1cs);
|
||||
|
let z: Vec<Fr> = (0..n_cols).map(|_| Fr::rand(&mut rng)).collect();
|
||||
|
|
||||
|
let (pedersen_params, _) =
|
||||
|
Pedersen::<Projective>::setup(&mut rng, ccs.n - ccs.l - 1).unwrap();
|
||||
|
|
||||
|
let (lcccs, _) = ccs
|
||||
|
.to_lcccs::<_, Projective, Pedersen<Projective>, false>(&mut rng, &pedersen_params, &z)
|
||||
|
.unwrap();
|
||||
|
|
||||
|
let cs = ConstraintSystem::<Fr>::new_ref();
|
||||
|
|
||||
|
// CCS's (sparse) matrices are constants in the circuit
|
||||
|
let ccs_mat = CCSMatricesVar::<Fr>::new_constant(cs.clone(), ccs.clone()).unwrap();
|
||||
|
let zVar = Vec::<FpVar<Fr>>::new_input(cs.clone(), || Ok(z)).unwrap();
|
||||
|
let r_xVar = Vec::<FpVar<Fr>>::new_input(cs.clone(), || Ok(lcccs.r_x)).unwrap();
|
||||
|
let vVar = Vec::<FpVar<Fr>>::new_input(cs.clone(), || Ok(lcccs.v)).unwrap();
|
||||
|
|
||||
|
LCCCSCheckerGadget::check(ccs.s, ccs_mat, zVar, r_xVar, vVar).unwrap();
|
||||
|
|
||||
|
assert!(cs.is_satisfied().unwrap());
|
||||
|
}
|
||||
|
|
||||
|
#[test]
|
||||
|
fn test_decider_circuit() {
|
||||
|
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)];
|
||||
|
|
||||
|
const MU: usize = 1;
|
||||
|
const NU: usize = 1;
|
||||
|
|
||||
|
type HN = HyperNova<
|
||||
|
Projective,
|
||||
|
GVar,
|
||||
|
Projective2,
|
||||
|
GVar2,
|
||||
|
CubicFCircuit<Fr>,
|
||||
|
Pedersen<Projective>,
|
||||
|
Pedersen<Projective2>,
|
||||
|
MU,
|
||||
|
NU,
|
||||
|
false,
|
||||
|
>;
|
||||
|
let prep_param = PreprocessorParam::<
|
||||
|
Projective,
|
||||
|
Projective2,
|
||||
|
CubicFCircuit<Fr>,
|
||||
|
Pedersen<Projective>,
|
||||
|
Pedersen<Projective2>,
|
||||
|
false,
|
||||
|
>::new(poseidon_config, F_circuit);
|
||||
|
let hn_params = HN::preprocess(&mut rng, &prep_param).unwrap();
|
||||
|
|
||||
|
// generate a Nova instance and do a step of it
|
||||
|
let mut hypernova = HN::init(&hn_params, F_circuit, z_0.clone()).unwrap();
|
||||
|
hypernova
|
||||
|
.prove_step(&mut rng, vec![], Some((vec![], vec![])))
|
||||
|
.unwrap();
|
||||
|
|
||||
|
let ivc_v = hypernova.clone();
|
||||
|
let (running_instance, incoming_instance, cyclefold_instance) = ivc_v.instances();
|
||||
|
HN::verify(
|
||||
|
hn_params.1, // HN's verifier_params
|
||||
|
z_0,
|
||||
|
ivc_v.z_i,
|
||||
|
Fr::one(),
|
||||
|
running_instance,
|
||||
|
incoming_instance,
|
||||
|
cyclefold_instance,
|
||||
|
)
|
||||
|
.unwrap();
|
||||
|
|
||||
|
// load the DeciderEthCircuit from the generated Nova instance
|
||||
|
let decider_circuit = DeciderEthCircuit::<
|
||||
|
Projective,
|
||||
|
GVar,
|
||||
|
Projective2,
|
||||
|
GVar2,
|
||||
|
Pedersen<Projective>,
|
||||
|
Pedersen<Projective2>,
|
||||
|
>::from_hypernova(hypernova)
|
||||
|
.unwrap();
|
||||
|
|
||||
|
let cs = ConstraintSystem::<Fr>::new_ref();
|
||||
|
|
||||
|
// generate the constraints and check that are satisfied by the inputs
|
||||
|
decider_circuit.generate_constraints(cs.clone()).unwrap();
|
||||
|
assert!(cs.is_satisfied().unwrap());
|
||||
|
dbg!(cs.num_constraints());
|
||||
|
}
|
||||
|
}
|