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Nova+CycleFold Decider circuit (for onchain use case) (#49) 

* Add Pedersen commitments gadget

* Add Nova+CycleFold Decider circuit (for onchain approach)

"onchain"==Ethereum's EVM

* merge src/decider into src/folding/nova/decider

* PR review updates
main
arnaucube 1 year ago
committed by GitHub
parent
05f49918ac
commit
498198057b
No known key found for this signature in database GPG Key ID: 4AEE18F83AFDEB23
10 changed files with 879 additions and 422 deletions
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  1. +0
    -391
      src/decider/circuit.rs
  2. +0
    -1
      src/decider/mod.rs
  3. +5
    -5
      src/folding/nova/circuits.rs
  4. +656
    -0
      src/folding/nova/decider.rs
  5. +25
    -17
      src/folding/nova/ivc.rs
  6. +1
    -0
      src/folding/nova/mod.rs
  7. +0
    -1
      src/lib.rs
  8. +86
    -7
      src/pedersen.rs
  9. +105
    -0
      src/utils/gadgets.rs
  10. +1
    -0
      src/utils/mod.rs

+ 0
- 391
src/decider/circuit.rs
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@ -1,391 +0,0 @@
use ark_ec::CurveGroup;
use ark_ff::{Field, PrimeField};
use ark_r1cs_std::{
alloc::{AllocVar, AllocationMode},
fields::FieldVar,
};
use ark_relations::r1cs::{Namespace, SynthesisError};
use core::{borrow::Borrow, marker::PhantomData};
use crate::ccs::r1cs::RelaxedR1CS;
use crate::utils::vec::SparseMatrix;
use crate::Error;
pub type ConstraintF<C> = <<C as CurveGroup>::BaseField as Field>::BasePrimeField;
#[derive(Debug, Clone)]
pub struct RelaxedR1CSGadget<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>> {
_f: PhantomData<F>,
_cf: PhantomData<CF>,
_fv: PhantomData<FV>,
}
impl<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>> RelaxedR1CSGadget<F, CF, FV> {
/// performs the RelaxedR1CS check (Az∘Bz==uCz+E)
pub fn check(rel_r1cs: RelaxedR1CSVar<F, CF, FV>, z: Vec<FV>) -> Result<(), Error> {
let Az = mat_vec_mul_sparse(rel_r1cs.A, z.clone());
let Bz = mat_vec_mul_sparse(rel_r1cs.B, z.clone());
let Cz = mat_vec_mul_sparse(rel_r1cs.C, z.clone());
let uCz = vec_scalar_mul(&Cz, &rel_r1cs.u);
let uCzE = vec_add(&uCz, &rel_r1cs.E)?;
let AzBz = hadamard(&Az, &Bz)?;
for i in 0..AzBz.len() {
AzBz[i].enforce_equal(&uCzE[i].clone())?;
}
Ok(())
}
}
fn mat_vec_mul_sparse<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>>(
m: SparseMatrixVar<F, CF, FV>,
v: Vec<FV>,
) -> Vec<FV> {
let mut res = vec![FV::zero(); m.n_rows];
for (row_i, row) in m.coeffs.iter().enumerate() {
for (value, col_i) in row.iter() {
res[row_i] += value.clone().mul(&v[*col_i].clone());
}
}
res
}
pub fn vec_add<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>>(
a: &Vec<FV>,
b: &Vec<FV>,
) -> Result<Vec<FV>, Error> {
if a.len() != b.len() {
return Err(Error::NotSameLength(
"a.len()".to_string(),
a.len(),
"b.len()".to_string(),
b.len(),
));
}
let mut r: Vec<FV> = vec![FV::zero(); a.len()];
for i in 0..a.len() {
r[i] = a[i].clone() + b[i].clone();
}
Ok(r)
}
pub fn vec_scalar_mul<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>>(
vec: &Vec<FV>,
c: &FV,
) -> Vec<FV> {
let mut result = vec![FV::zero(); vec.len()];
for (i, a) in vec.iter().enumerate() {
result[i] = a.clone() * c;
}
result
}
pub fn hadamard<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>>(
a: &Vec<FV>,
b: &Vec<FV>,
) -> Result<Vec<FV>, Error> {
if a.len() != b.len() {
return Err(Error::NotSameLength(
"a.len()".to_string(),
a.len(),
"b.len()".to_string(),
b.len(),
));
}
let mut r: Vec<FV> = vec![FV::zero(); a.len()];
for i in 0..a.len() {
r[i] = a[i].clone() * b[i].clone();
}
Ok(r)
}
#[derive(Debug, Clone)]
pub struct SparseMatrixVar<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>> {
_f: PhantomData<F>,
_cf: PhantomData<CF>,
_fv: PhantomData<FV>,
pub n_rows: usize,
pub n_cols: usize,
// same format as the native SparseMatrix (which follows ark_relations::r1cs::Matrix format
pub coeffs: Vec<Vec<(FV, usize)>>,
}
impl<F, CF, FV> AllocVar<SparseMatrix<F>, CF> for SparseMatrixVar<F, CF, FV>
where
F: PrimeField,
CF: PrimeField,
FV: FieldVar<F, CF>,
{
fn new_variable<T: Borrow<SparseMatrix<F>>>(
cs: impl Into<Namespace<CF>>,
f: impl FnOnce() -> Result<T, SynthesisError>,
mode: AllocationMode,
) -> Result<Self, SynthesisError> {
f().and_then(|val| {
let cs = cs.into();
let mut coeffs: Vec<Vec<(FV, usize)>> = Vec::new();
for row in val.borrow().coeffs.iter() {
let mut rowVar: Vec<(FV, usize)> = Vec::new();
for &(value, col_i) in row.iter() {
let coeffVar = FV::new_variable(cs.clone(), || Ok(value), mode)?;
rowVar.push((coeffVar, col_i));
}
coeffs.push(rowVar);
}
Ok(Self {
_f: PhantomData,
_cf: PhantomData,
_fv: PhantomData,
n_rows: val.borrow().n_rows,
n_cols: val.borrow().n_cols,
coeffs,
})
})
}
}
#[derive(Debug, Clone)]
pub struct RelaxedR1CSVar<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>> {
_f: PhantomData<F>,
_cf: PhantomData<CF>,
_fv: PhantomData<FV>,
pub A: SparseMatrixVar<F, CF, FV>,
pub B: SparseMatrixVar<F, CF, FV>,
pub C: SparseMatrixVar<F, CF, FV>,
pub u: FV,
pub E: Vec<FV>,
}
impl<F, CF, FV> AllocVar<RelaxedR1CS<F>, CF> for RelaxedR1CSVar<F, CF, FV>
where
F: PrimeField,
CF: PrimeField,
FV: FieldVar<F, CF>,
{
fn new_variable<T: Borrow<RelaxedR1CS<F>>>(
cs: impl Into<Namespace<CF>>,
f: impl FnOnce() -> Result<T, SynthesisError>,
mode: AllocationMode,
) -> Result<Self, SynthesisError> {
f().and_then(|val| {
let cs = cs.into();
let A = SparseMatrixVar::<F, CF, FV>::new_constant(cs.clone(), &val.borrow().A)?;
let B = SparseMatrixVar::<F, CF, FV>::new_constant(cs.clone(), &val.borrow().B)?;
let C = SparseMatrixVar::<F, CF, FV>::new_constant(cs.clone(), &val.borrow().C)?;
let E = Vec::<FV>::new_variable(cs.clone(), || Ok(val.borrow().E.clone()), mode)?;
let u = FV::new_variable(cs.clone(), || Ok(val.borrow().u), mode)?;
Ok(Self {
_f: PhantomData,
_cf: PhantomData,
_fv: PhantomData,
A,
B,
C,
E,
u,
})
})
}
}
#[cfg(test)]
mod tests {
use super::*;
use ark_crypto_primitives::crh::{
sha256::{
constraints::{Sha256Gadget, UnitVar},
Sha256,
},
CRHScheme, CRHSchemeGadget,
};
use ark_ff::BigInteger;
use ark_pallas::{Fq, Fr};
use ark_r1cs_std::{
alloc::AllocVar,
bits::uint8::UInt8,
eq::EqGadget,
fields::{fp::FpVar, nonnative::NonNativeFieldVar},
};
use ark_relations::r1cs::{
ConstraintSynthesizer, ConstraintSystem, ConstraintSystemRef, SynthesisError,
};
use ark_std::One;
use crate::ccs::r1cs::{
tests::{get_test_r1cs, get_test_z},
R1CS,
};
use crate::frontend::arkworks::{extract_r1cs_and_z, tests::TestCircuit};
#[test]
fn test_relaxed_r1cs_small_gadget_handcrafted() {
let r1cs: R1CS<Fr> = get_test_r1cs();
let rel_r1cs = r1cs.relax();
let z = get_test_z(3);
let cs = ConstraintSystem::<Fr>::new_ref();
let zVar = Vec::<FpVar<Fr>>::new_witness(cs.clone(), || Ok(z)).unwrap();
let rel_r1csVar =
RelaxedR1CSVar::<Fr, Fr, FpVar<Fr>>::new_witness(cs.clone(), || Ok(rel_r1cs)).unwrap();
RelaxedR1CSGadget::<Fr, Fr, FpVar<Fr>>::check(rel_r1csVar, zVar).unwrap();
assert!(cs.is_satisfied().unwrap());
}
// gets as input a circuit that implements the ConstraintSynthesizer trait, and that has been
// initialized.
fn test_relaxed_r1cs_gadget<CS: ConstraintSynthesizer<Fr>>(circuit: CS) {
let cs = ConstraintSystem::<Fr>::new_ref();
circuit.generate_constraints(cs.clone()).unwrap();
cs.finalize();
assert!(cs.is_satisfied().unwrap());
let cs = cs.into_inner().unwrap();
let (r1cs, z) = extract_r1cs_and_z::<Fr>(&cs);
r1cs.check_relation(&z).unwrap();
let relaxed_r1cs = r1cs.relax();
relaxed_r1cs.check_relation(&z).unwrap();
// set new CS for the circuit that checks the RelaxedR1CS of our original circuit
let cs = ConstraintSystem::<Fr>::new_ref();
// prepare the inputs for our circuit
let zVar = Vec::<FpVar<Fr>>::new_witness(cs.clone(), || Ok(z)).unwrap();
let rel_r1csVar =
RelaxedR1CSVar::<Fr, Fr, FpVar<Fr>>::new_witness(cs.clone(), || Ok(relaxed_r1cs))
.unwrap();
RelaxedR1CSGadget::<Fr, Fr, FpVar<Fr>>::check(rel_r1csVar, zVar).unwrap();
assert!(cs.is_satisfied().unwrap());
}
#[test]
fn test_relaxed_r1cs_small_gadget_arkworks() {
let x = Fr::from(5_u32);
let y = x * x * x + x + Fr::from(5_u32);
let circuit = TestCircuit::<Fr> { x, y };
test_relaxed_r1cs_gadget(circuit);
}
struct Sha256TestCircuit<F: PrimeField> {
_f: PhantomData<F>,
pub x: Vec<u8>,
pub y: Vec<u8>,
}
impl<F: PrimeField> ConstraintSynthesizer<F> for Sha256TestCircuit<F> {
fn generate_constraints(self, cs: ConstraintSystemRef<F>) -> Result<(), SynthesisError> {
let x = Vec::<UInt8<F>>::new_witness(cs.clone(), || Ok(self.x))?;
let y = Vec::<UInt8<F>>::new_input(cs.clone(), || Ok(self.y))?;
let unitVar = UnitVar::default();
let comp_y = <Sha256Gadget<F> as CRHSchemeGadget<Sha256, F>>::evaluate(&unitVar, &x)?;
comp_y.0.enforce_equal(&y)?;
Ok(())
}
}
#[test]
fn test_relaxed_r1cs_medium_gadget_arkworks() {
let x = Fr::from(5_u32).into_bigint().to_bytes_le();
let y = <Sha256 as CRHScheme>::evaluate(&(), x.clone()).unwrap();
let circuit = Sha256TestCircuit::<Fr> {
_f: PhantomData,
x,
y,
};
test_relaxed_r1cs_gadget(circuit);
}
// circuit that has the number of constraints specified in the `n_constraints` parameter. Note
// that the generated circuit will have very sparse matrices, so the resulting constraints
// number of the RelaxedR1CS gadget must take that into account.
struct CustomTestCircuit<F: PrimeField> {
_f: PhantomData<F>,
pub n_constraints: usize,
pub x: F,
pub y: F,
}
impl<F: PrimeField> CustomTestCircuit<F> {
fn new(n_constraints: usize) -> Self {
let x = F::from(5_u32);
let mut y = F::one();
for _ in 0..n_constraints - 1 {
y *= x;
}
Self {
_f: PhantomData,
n_constraints,
x,
y,
}
}
}
impl<F: PrimeField> ConstraintSynthesizer<F> for CustomTestCircuit<F> {
fn generate_constraints(self, cs: ConstraintSystemRef<F>) -> Result<(), SynthesisError> {
let x = FpVar::<F>::new_witness(cs.clone(), || Ok(self.x))?;
let y = FpVar::<F>::new_input(cs.clone(), || Ok(self.y))?;
let mut comp_y = FpVar::<F>::new_witness(cs.clone(), || Ok(F::one()))?;
for _ in 0..self.n_constraints - 1 {
comp_y *= x.clone();
}
comp_y.enforce_equal(&y)?;
Ok(())
}
}
#[test]
fn test_relaxed_r1cs_custom_circuit() {
let n_constraints = 10_000;
let x = Fr::from(5_u32);
let mut y = Fr::one();
for _ in 0..n_constraints - 1 {
y *= x;
}
let circuit = CustomTestCircuit::<Fr> {
_f: PhantomData,
n_constraints,
x,
y,
};
test_relaxed_r1cs_gadget(circuit);
}
#[test]
fn test_relaxed_r1cs_nonnative_circuit() {
let cs = ConstraintSystem::<Fq>::new_ref();
// in practice we would use CycleFoldCircuit, but is a very big circuit (when computed
// non-natively inside the RelaxedR1CS circuit), so in order to have a short test we use a
// custom circuit.
let circuit = CustomTestCircuit::<Fq>::new(10);
circuit.generate_constraints(cs.clone()).unwrap();
cs.finalize();
let cs = cs.into_inner().unwrap();
let (r1cs, z) = extract_r1cs_and_z::<Fq>(&cs);
let relaxed_r1cs = r1cs.relax();
// natively
let cs = ConstraintSystem::<Fq>::new_ref();
let zVar = Vec::<FpVar<Fq>>::new_witness(cs.clone(), || Ok(z.clone())).unwrap();
let rel_r1csVar = RelaxedR1CSVar::<Fq, Fq, FpVar<Fq>>::new_witness(cs.clone(), || {
Ok(relaxed_r1cs.clone())
})
.unwrap();
RelaxedR1CSGadget::<Fq, Fq, FpVar<Fq>>::check(rel_r1csVar, zVar).unwrap();
// non-natively
let cs = ConstraintSystem::<Fr>::new_ref();
let zVar = Vec::<NonNativeFieldVar<Fq, Fr>>::new_witness(cs.clone(), || Ok(z)).unwrap();
let rel_r1csVar =
RelaxedR1CSVar::<Fq, Fr, NonNativeFieldVar<Fq, Fr>>::new_witness(cs.clone(), || {
Ok(relaxed_r1cs)
})
.unwrap();
RelaxedR1CSGadget::<Fq, Fr, NonNativeFieldVar<Fq, Fr>>::check(rel_r1csVar, zVar).unwrap();
}
}

+ 0
- 1
src/decider/mod.rs
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@ -1 +0,0 @@
pub mod circuit;

+ 5
- 5
src/folding/nova/circuits.rs
View File

@ -46,10 +46,10 @@ pub type CF2 = <::BaseField as Field>::BasePrimeField;
/// represented non-natively over the constraint field.
#[derive(Debug, Clone)]
pub struct CommittedInstanceVar<C: CurveGroup> {
u: FpVar<C::ScalarField>,
x: Vec<FpVar<C::ScalarField>>,
cmE: NonNativeAffineVar<C::ScalarField>,
cmW: NonNativeAffineVar<C::ScalarField>,
pub u: FpVar<C::ScalarField>,
pub x: Vec<FpVar<C::ScalarField>>,
pub cmE: NonNativeAffineVar<C::ScalarField>,
pub cmW: NonNativeAffineVar<C::ScalarField>,
}
impl<C> AllocVar<CommittedInstance<C>, CF1<C>> for CommittedInstanceVar<C>
@ -94,7 +94,7 @@ where
/// CommittedInstance.hash.
/// Returns `H(i, z_0, z_i, U_i)`, where `i` can be `i` but also `i+1`, and `U` is the
/// `CommittedInstance`.
fn hash(
pub fn hash(
self,
crh_params: &CRHParametersVar<CF1<C>>,
i: FpVar<CF1<C>>,

+ 656
- 0
src/folding/nova/decider.rs
View File

@ -0,0 +1,656 @@
/// 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::crh::poseidon::constraints::CRHParametersVar;
use ark_crypto_primitives::sponge::{poseidon::PoseidonConfig, Absorb};
use ark_ec::{CurveGroup, Group};
use ark_ff::PrimeField;
use ark_r1cs_std::{
alloc::{AllocVar, AllocationMode},
boolean::Boolean,
eq::EqGadget,
fields::{fp::FpVar, nonnative::NonNativeFieldVar, FieldVar},
groups::GroupOpsBounds,
prelude::CurveVar,
ToConstraintFieldGadget,
};
use ark_relations::r1cs::{ConstraintSynthesizer, ConstraintSystemRef, Namespace, SynthesisError};
use ark_std::{One, Zero};
use core::{borrow::Borrow, marker::PhantomData};
use crate::ccs::r1cs::R1CS;
use crate::folding::nova::{
circuits::{CommittedInstanceVar, FCircuit, CF1, CF2},
ivc::IVC,
CommittedInstance, Witness,
};
use crate::pedersen::Params as PedersenParams;
use crate::utils::gadgets::{
hadamard, mat_vec_mul_sparse, vec_add, vec_scalar_mul, SparseMatrixVar,
};
#[derive(Debug, Clone)]
pub struct RelaxedR1CSGadget<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>> {
_f: PhantomData<F>,
_cf: PhantomData<CF>,
_fv: PhantomData<FV>,
}
impl<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>> RelaxedR1CSGadget<F, CF, FV> {
/// performs the RelaxedR1CS check (Az∘Bz==uCz+E)
pub fn check(
r1cs: R1CSVar<F, CF, FV>,
E: Vec<FV>,
u: FV,
z: Vec<FV>,
) -> Result<(), SynthesisError> {
let Az = mat_vec_mul_sparse(r1cs.A, z.clone());
let Bz = mat_vec_mul_sparse(r1cs.B, z.clone());
let Cz = mat_vec_mul_sparse(r1cs.C, z.clone());
let uCz = vec_scalar_mul(&Cz, &u);
let uCzE = vec_add(&uCz, &E)?;
let AzBz = hadamard(&Az, &Bz)?;
for i in 0..AzBz.len() {
AzBz[i].enforce_equal(&uCzE[i].clone())?;
}
Ok(())
}
}
#[derive(Debug, Clone)]
pub struct R1CSVar<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>> {
_f: PhantomData<F>,
_cf: PhantomData<CF>,
_fv: PhantomData<FV>,
pub A: SparseMatrixVar<F, CF, FV>,
pub B: SparseMatrixVar<F, CF, FV>,
pub C: SparseMatrixVar<F, CF, FV>,
}
impl<F, CF, FV> AllocVar<R1CS<F>, CF> for R1CSVar<F, CF, FV>
where
F: PrimeField,
CF: PrimeField,
FV: FieldVar<F, CF>,
{
fn new_variable<T: Borrow<R1CS<F>>>(
cs: impl Into<Namespace<CF>>,
f: impl FnOnce() -> Result<T, SynthesisError>,
_mode: AllocationMode,
) -> Result<Self, SynthesisError> {
f().and_then(|val| {
let cs = cs.into();
let A = SparseMatrixVar::<F, CF, FV>::new_constant(cs.clone(), &val.borrow().A)?;
let B = SparseMatrixVar::<F, CF, FV>::new_constant(cs.clone(), &val.borrow().B)?;
let C = SparseMatrixVar::<F, CF, FV>::new_constant(cs.clone(), &val.borrow().C)?;
Ok(Self {
_f: PhantomData,
_cf: PhantomData,
_fv: PhantomData,
A,
B,
C,
})
})
}
}
/// In-circuit representation of the Witness associated to the CommittedInstance.
#[derive(Debug, Clone)]
pub struct WitnessVar<C: CurveGroup> {
pub E: Vec<FpVar<C::ScalarField>>,
pub rE: FpVar<C::ScalarField>,
pub W: Vec<FpVar<C::ScalarField>>,
pub rW: FpVar<C::ScalarField>,
}
impl<C> AllocVar<Witness<C>, CF1<C>> for WitnessVar<C>
where
C: CurveGroup,
<C as ark_ec::CurveGroup>::BaseField: PrimeField,
{
fn new_variable<T: Borrow<Witness<C>>>(
cs: impl Into<Namespace<CF1<C>>>,
f: impl FnOnce() -> Result<T, SynthesisError>,
mode: AllocationMode,
) -> Result<Self, SynthesisError> {
f().and_then(|val| {
let cs = cs.into();
let E: Vec<FpVar<C::ScalarField>> =
Vec::new_variable(cs.clone(), || Ok(val.borrow().E.clone()), mode)?;
let rE =
FpVar::<C::ScalarField>::new_variable(cs.clone(), || Ok(val.borrow().rE), mode)?;
let W: Vec<FpVar<C::ScalarField>> =
Vec::new_variable(cs.clone(), || Ok(val.borrow().W.clone()), mode)?;
let rW =
FpVar::<C::ScalarField>::new_variable(cs.clone(), || Ok(val.borrow().rW), mode)?;
Ok(Self { E, rE, W, rW })
})
}
}
/// In-circuit representation of the Witness associated to the CommittedInstance, but with
/// non-native representation, since it is used to represent the CycleFold witness.
#[derive(Debug, Clone)]
pub struct CycleFoldWitnessVar<C: CurveGroup> {
pub E: Vec<NonNativeFieldVar<C::ScalarField, CF2<C>>>,
pub rE: NonNativeFieldVar<C::ScalarField, CF2<C>>,
pub W: Vec<NonNativeFieldVar<C::ScalarField, CF2<C>>>,
pub rW: NonNativeFieldVar<C::ScalarField, CF2<C>>,
}
impl<C> AllocVar<Witness<C>, CF2<C>> for CycleFoldWitnessVar<C>
where
C: CurveGroup,
<C as ark_ec::CurveGroup>::BaseField: PrimeField,
{
fn new_variable<T: Borrow<Witness<C>>>(
cs: impl Into<Namespace<CF2<C>>>,
f: impl FnOnce() -> Result<T, SynthesisError>,
mode: AllocationMode,
) -> Result<Self, SynthesisError> {
f().and_then(|val| {
let cs = cs.into();
let E: Vec<NonNativeFieldVar<C::ScalarField, CF2<C>>> =
Vec::new_variable(cs.clone(), || Ok(val.borrow().E.clone()), mode)?;
let rE = NonNativeFieldVar::<C::ScalarField, CF2<C>>::new_variable(
cs.clone(),
|| Ok(val.borrow().rE),
mode,
)?;
let W: Vec<NonNativeFieldVar<C::ScalarField, CF2<C>>> =
Vec::new_variable(cs.clone(), || Ok(val.borrow().W.clone()), mode)?;
let rW = NonNativeFieldVar::<C::ScalarField, CF2<C>>::new_variable(
cs.clone(),
|| Ok(val.borrow().rW),
mode,
)?;
Ok(Self { E, rE, W, rW })
})
}
}
/// Circuit that implements the in-circuit checks needed for the onchain (Ethereum's EVM)
/// verification.
pub struct DeciderCircuit<C1, GC1, C2, GC2>
where
C1: CurveGroup,
GC1: CurveVar<C1, CF2<C1>>,
C2: CurveGroup,
GC2: CurveVar<C2, CF2<C2>>,
{
_c1: PhantomData<C1>,
_gc1: PhantomData<GC1>,
_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>,
/// 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>>,
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>>,
/// CycleFold running instance
pub cf_U_i: Option<CommittedInstance<C2>>,
pub cf_W_i: Option<Witness<C2>>,
}
impl<C1, GC1, C2, GC2> DeciderCircuit<C1, GC1, C2, GC2>
where
C1: CurveGroup,
C2: CurveGroup,
GC1: CurveVar<C1, CF2<C1>>,
GC2: CurveVar<C2, CF2<C2>>,
{
pub fn from_ivc<FC: FCircuit<C1::ScalarField>>(ivc: IVC<C1, GC1, C2, GC2, FC>) -> Self {
Self {
_c1: PhantomData,
_gc1: PhantomData,
_c2: PhantomData,
_gc2: PhantomData,
E_len: ivc.W_i.E.len(),
cf_E_len: ivc.cf_W_i.E.len(),
r1cs: ivc.r1cs,
cf_r1cs: ivc.cf_r1cs,
cf_pedersen_params: ivc.cf_pedersen_params,
poseidon_config: ivc.poseidon_config,
i: Some(ivc.i),
z_0: Some(ivc.z_0),
z_i: Some(ivc.z_i),
u_i: Some(ivc.u_i),
w_i: Some(ivc.w_i),
U_i: Some(ivc.U_i),
W_i: Some(ivc.W_i),
cf_U_i: Some(ivc.cf_U_i),
cf_W_i: Some(ivc.cf_W_i),
}
}
}
impl<C1, GC1, C2, GC2> ConstraintSynthesizer<CF1<C1>> for DeciderCircuit<C1, GC1, C2, GC2>
where
C1: CurveGroup,
C2: CurveGroup,
GC1: CurveVar<C1, CF2<C1>>,
GC2: CurveVar<C2, CF2<C2>>,
<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<'a> &'a GC2: GroupOpsBounds<'a, 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 i = FpVar::<CF1<C1>>::new_witness(cs.clone(), || {
Ok(self.i.unwrap_or_else(CF1::<C1>::zero))
})?;
let z_0 = Vec::<FpVar<CF1<C1>>>::new_witness(cs.clone(), || {
Ok(self.z_0.unwrap_or(vec![CF1::<C1>::zero()]))
})?;
let z_i = Vec::<FpVar<CF1<C1>>>::new_witness(cs.clone(), || {
Ok(self.z_i.unwrap_or(vec![CF1::<C1>::zero()]))
})?;
let u_dummy_native = CommittedInstance::<C1>::dummy(1);
let w_dummy_native = Witness::<C1>::new(
vec![C1::ScalarField::zero(); self.r1cs.A.n_cols - 2 /* (2=1+1, since u_i.x.len=1) */],
self.E_len,
);
let u_i = CommittedInstanceVar::<C1>::new_witness(cs.clone(), || {
Ok(self.u_i.unwrap_or(u_dummy_native.clone()))
})?;
let w_i = WitnessVar::<C1>::new_witness(cs.clone(), || {
Ok(self.w_i.unwrap_or(w_dummy_native.clone()))
})?;
let U_i = CommittedInstanceVar::<C1>::new_witness(cs.clone(), || {
Ok(self.U_i.unwrap_or(u_dummy_native.clone()))
})?;
let W_i = WitnessVar::<C1>::new_witness(cs.clone(), || {
Ok(self.W_i.unwrap_or(w_dummy_native.clone()))
})?;
let crh_params = CRHParametersVar::<C1::ScalarField>::new_constant(
cs.clone(),
self.poseidon_config.clone(),
)?;
// 1. check RelaxedR1CS of u_i
let z_u: Vec<FpVar<CF1<C1>>> = [
vec![FpVar::<CF1<C1>>::one()],
u_i.x.to_vec(),
w_i.W.to_vec(),
]
.concat();
RelaxedR1CSGadget::<C1::ScalarField, CF1<C1>, FpVar<CF1<C1>>>::check(
r1cs.clone(),
w_i.E,
u_i.u.clone(),
z_u,
)?;
// 2. check RelaxedR1CS of U_i
let z_U: Vec<FpVar<CF1<C1>>> =
[vec![U_i.u.clone()], U_i.x.to_vec(), W_i.W.to_vec()].concat();
RelaxedR1CSGadget::<C1::ScalarField, CF1<C1>, FpVar<CF1<C1>>>::check(
r1cs,
W_i.E,
U_i.u.clone(),
z_U,
)?;
// 3. u_i.cmE==cm(0), u_i.u==1
// Here zero_x & zero_y are the x & y coordinates of the zero point affine representation.
let zero_x = NonNativeFieldVar::<C1::BaseField, C1::ScalarField>::new_constant(
cs.clone(),
C1::BaseField::zero(),
)?
.to_constraint_field()?;
let zero_y = NonNativeFieldVar::<C1::BaseField, C1::ScalarField>::new_constant(
cs.clone(),
C1::BaseField::one(),
)?
.to_constraint_field()?;
(u_i.cmE.x.is_eq(&zero_x)?).enforce_equal(&Boolean::TRUE)?;
(u_i.cmE.y.is_eq(&zero_y)?).enforce_equal(&Boolean::TRUE)?;
(u_i.u.is_one()?).enforce_equal(&Boolean::TRUE)?;
// 4. u_i.x == H(i, z_0, z_i, U_i)
let u_i_x = U_i
.clone()
.hash(&crh_params, i.clone(), z_0.clone(), z_i.clone())?;
(u_i.x[0]).enforce_equal(&u_i_x)?;
// The following two checks (and their respective allocations) are disabled for normal
// tests since they take ~24.5M constraints and would take several minutes (and RAM) to run
// the test
#[cfg(not(test))]
{
// imports here instead of at the top of the file, so we avoid having multiple
// `#[cfg(not(test))]
use crate::folding::nova::cyclefold::{CycleFoldCommittedInstanceVar, CF_IO_LEN};
use crate::pedersen::PedersenGadget;
use ark_r1cs_std::ToBitsGadget;
let cf_r1cs = R1CSVar::<
C1::BaseField,
CF1<C1>,
NonNativeFieldVar<C1::BaseField, CF1<C1>>,
>::new_witness(cs.clone(), || Ok(self.cf_r1cs.clone()))?;
let cf_u_dummy_native = CommittedInstance::<C2>::dummy(CF_IO_LEN);
let w_dummy_native = Witness::<C2>::new(
vec![C2::ScalarField::zero(); 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(w_dummy_native.clone()))
})?;
// 5. 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: Vec<Vec<Boolean<CF1<C1>>>> = cf_W_i
.E
.iter()
.map(|E_i| E_i.to_bits_le().unwrap())
.collect();
let cf_W_i_W_bits: Vec<Vec<Boolean<CF1<C1>>>> = cf_W_i
.W
.iter()
.map(|W_i| W_i.to_bits_le().unwrap())
.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)?;
// 6. check RelaxedR1CS of cf_U_i
let cf_z_U: Vec<NonNativeFieldVar<C2::ScalarField, CF1<C1>>> =
[vec![cf_U_i.u.clone()], cf_U_i.x.to_vec(), cf_W_i.W.to_vec()].concat();
RelaxedR1CSGadget::<
C2::ScalarField,
CF1<C1>,
NonNativeFieldVar<C2::ScalarField, CF1<C1>>,
>::check(cf_r1cs, cf_W_i.E, cf_U_i.u.clone(), cf_z_U)?;
}
Ok(())
}
}
#[cfg(test)]
pub mod tests {
use super::*;
use ark_crypto_primitives::crh::{
sha256::{
constraints::{Sha256Gadget, UnitVar},
Sha256,
},
CRHScheme, CRHSchemeGadget,
};
use ark_ff::BigInteger;
use ark_pallas::{constraints::GVar, Fq, Fr, Projective};
use ark_r1cs_std::{
alloc::AllocVar,
bits::uint8::UInt8,
eq::EqGadget,
fields::{fp::FpVar, nonnative::NonNativeFieldVar},
};
use ark_relations::r1cs::ConstraintSystem;
use ark_vesta::{constraints::GVar as GVar2, Projective as Projective2};
use crate::folding::nova::circuits::{tests::TestFCircuit, FCircuit};
use crate::folding::nova::ivc::IVC;
use crate::transcript::poseidon::tests::poseidon_test_config;
use crate::ccs::r1cs::{
tests::{get_test_r1cs, get_test_z},
R1CS,
};
use crate::frontend::arkworks::{extract_r1cs_and_z, tests::TestCircuit};
#[test]
fn test_relaxed_r1cs_small_gadget_handcrafted() {
let r1cs: R1CS<Fr> = get_test_r1cs();
let rel_r1cs = r1cs.clone().relax();
let z = get_test_z(3);
let cs = ConstraintSystem::<Fr>::new_ref();
let zVar = Vec::<FpVar<Fr>>::new_witness(cs.clone(), || Ok(z)).unwrap();
let EVar = Vec::<FpVar<Fr>>::new_witness(cs.clone(), || Ok(rel_r1cs.E)).unwrap();
let uVar = FpVar::<Fr>::new_witness(cs.clone(), || Ok(rel_r1cs.u)).unwrap();
let r1csVar = R1CSVar::<Fr, Fr, FpVar<Fr>>::new_witness(cs.clone(), || Ok(r1cs)).unwrap();
RelaxedR1CSGadget::<Fr, Fr, FpVar<Fr>>::check(r1csVar, EVar, uVar, zVar).unwrap();
assert!(cs.is_satisfied().unwrap());
}
// gets as input a circuit that implements the ConstraintSynthesizer trait, and that has been
// initialized.
fn test_relaxed_r1cs_gadget<CS: ConstraintSynthesizer<Fr>>(circuit: CS) {
let cs = ConstraintSystem::<Fr>::new_ref();
circuit.generate_constraints(cs.clone()).unwrap();
cs.finalize();
assert!(cs.is_satisfied().unwrap());
let cs = cs.into_inner().unwrap();
let (r1cs, z) = extract_r1cs_and_z::<Fr>(&cs);
r1cs.check_relation(&z).unwrap();
let relaxed_r1cs = r1cs.clone().relax();
relaxed_r1cs.check_relation(&z).unwrap();
// set new CS for the circuit that checks the RelaxedR1CS of our original circuit
let cs = ConstraintSystem::<Fr>::new_ref();
// prepare the inputs for our circuit
let zVar = Vec::<FpVar<Fr>>::new_witness(cs.clone(), || Ok(z)).unwrap();
let EVar = Vec::<FpVar<Fr>>::new_witness(cs.clone(), || Ok(relaxed_r1cs.E)).unwrap();
let uVar = FpVar::<Fr>::new_witness(cs.clone(), || Ok(relaxed_r1cs.u)).unwrap();
let r1csVar = R1CSVar::<Fr, Fr, FpVar<Fr>>::new_witness(cs.clone(), || Ok(r1cs)).unwrap();
RelaxedR1CSGadget::<Fr, Fr, FpVar<Fr>>::check(r1csVar, EVar, uVar, zVar).unwrap();
assert!(cs.is_satisfied().unwrap());
}
#[test]
fn test_relaxed_r1cs_small_gadget_arkworks() {
let x = Fr::from(5_u32);
let y = x * x * x + x + Fr::from(5_u32);
let circuit = TestCircuit::<Fr> { x, y };
test_relaxed_r1cs_gadget(circuit);
}
struct Sha256TestCircuit<F: PrimeField> {
_f: PhantomData<F>,
pub x: Vec<u8>,
pub y: Vec<u8>,
}
impl<F: PrimeField> ConstraintSynthesizer<F> for Sha256TestCircuit<F> {
fn generate_constraints(self, cs: ConstraintSystemRef<F>) -> Result<(), SynthesisError> {
let x = Vec::<UInt8<F>>::new_witness(cs.clone(), || Ok(self.x))?;
let y = Vec::<UInt8<F>>::new_input(cs.clone(), || Ok(self.y))?;
let unitVar = UnitVar::default();
let comp_y = <Sha256Gadget<F> as CRHSchemeGadget<Sha256, F>>::evaluate(&unitVar, &x)?;
comp_y.0.enforce_equal(&y)?;
Ok(())
}
}
#[test]
fn test_relaxed_r1cs_medium_gadget_arkworks() {
let x = Fr::from(5_u32).into_bigint().to_bytes_le();
let y = <Sha256 as CRHScheme>::evaluate(&(), x.clone()).unwrap();
let circuit = Sha256TestCircuit::<Fr> {
_f: PhantomData,
x,
y,
};
test_relaxed_r1cs_gadget(circuit);
}
// circuit that has the number of constraints specified in the `n_constraints` parameter. Note
// that the generated circuit will have very sparse matrices, so the resulting constraints
// number of the RelaxedR1CS gadget must take that into account.
struct CustomTestCircuit<F: PrimeField> {
_f: PhantomData<F>,
pub n_constraints: usize,
pub x: F,
pub y: F,
}
impl<F: PrimeField> CustomTestCircuit<F> {
fn new(n_constraints: usize) -> Self {
let x = F::from(5_u32);
let mut y = F::one();
for _ in 0..n_constraints - 1 {
y *= x;
}
Self {
_f: PhantomData,
n_constraints,
x,
y,
}
}
}
impl<F: PrimeField> ConstraintSynthesizer<F> for CustomTestCircuit<F> {
fn generate_constraints(self, cs: ConstraintSystemRef<F>) -> Result<(), SynthesisError> {
let x = FpVar::<F>::new_witness(cs.clone(), || Ok(self.x))?;
let y = FpVar::<F>::new_input(cs.clone(), || Ok(self.y))?;
let mut comp_y = FpVar::<F>::new_witness(cs.clone(), || Ok(F::one()))?;
for _ in 0..self.n_constraints - 1 {
comp_y *= x.clone();
}
comp_y.enforce_equal(&y)?;
Ok(())
}
}
#[test]
fn test_relaxed_r1cs_custom_circuit() {
let n_constraints = 10_000;
let x = Fr::from(5_u32);
let mut y = Fr::one();
for _ in 0..n_constraints - 1 {
y *= x;
}
let circuit = CustomTestCircuit::<Fr> {
_f: PhantomData,
n_constraints,
x,
y,
};
test_relaxed_r1cs_gadget(circuit);
}
#[test]
fn test_relaxed_r1cs_nonnative_circuit() {
let cs = ConstraintSystem::<Fq>::new_ref();
// in practice we would use CycleFoldCircuit, but is a very big circuit (when computed
// non-natively inside the RelaxedR1CS circuit), so in order to have a short test we use a
// custom circuit.
let circuit = CustomTestCircuit::<Fq>::new(10);
circuit.generate_constraints(cs.clone()).unwrap();
cs.finalize();
let cs = cs.into_inner().unwrap();
let (r1cs, z) = extract_r1cs_and_z::<Fq>(&cs);
let relaxed_r1cs = r1cs.clone().relax();
// natively
let cs = ConstraintSystem::<Fq>::new_ref();
let zVar = Vec::<FpVar<Fq>>::new_witness(cs.clone(), || Ok(z.clone())).unwrap();
let EVar =
Vec::<FpVar<Fq>>::new_witness(cs.clone(), || Ok(relaxed_r1cs.clone().E)).unwrap();
let uVar = FpVar::<Fq>::new_witness(cs.clone(), || Ok(relaxed_r1cs.u)).unwrap();
let r1csVar =
R1CSVar::<Fq, Fq, FpVar<Fq>>::new_witness(cs.clone(), || Ok(r1cs.clone())).unwrap();
RelaxedR1CSGadget::<Fq, Fq, FpVar<Fq>>::check(r1csVar, EVar, uVar, zVar).unwrap();
// non-natively
let cs = ConstraintSystem::<Fr>::new_ref();
let zVar = Vec::<NonNativeFieldVar<Fq, Fr>>::new_witness(cs.clone(), || Ok(z)).unwrap();
let EVar = Vec::<NonNativeFieldVar<Fq, Fr>>::new_witness(cs.clone(), || Ok(relaxed_r1cs.E))
.unwrap();
let uVar =
NonNativeFieldVar::<Fq, Fr>::new_witness(cs.clone(), || Ok(relaxed_r1cs.u)).unwrap();
let r1csVar =
R1CSVar::<Fq, Fr, NonNativeFieldVar<Fq, Fr>>::new_witness(cs.clone(), || Ok(r1cs))
.unwrap();
RelaxedR1CSGadget::<Fq, Fr, NonNativeFieldVar<Fq, Fr>>::check(r1csVar, EVar, uVar, zVar)
.unwrap();
}
#[test]
fn test_decider_circuit() {
let mut rng = ark_std::test_rng();
let poseidon_config = poseidon_test_config::<Fr>();
let F_circuit = TestFCircuit::<Fr>::new();
let z_0 = vec![Fr::from(3_u32)];
// generate an IVC and do a step of it
let mut ivc = IVC::<Projective, GVar, Projective2, GVar2, TestFCircuit<Fr>>::new(
&mut rng,
poseidon_config,
F_circuit,
z_0.clone(),
)
.unwrap();
ivc.prove_step().unwrap();
ivc.verify(z_0, 1).unwrap();
// load the DeciderCircuit from the generated IVC
let decider_circuit = DeciderCircuit::<Projective, GVar, Projective2, GVar2>::from_ivc(ivc);
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());
}
}

+ 25
- 17
src/folding/nova/ivc.rs
View File

@ -33,23 +33,31 @@ where
_gc1: PhantomData<GC1>,
_c2: PhantomData<C2>,
_gc2: PhantomData<GC2>,
r1cs: R1CS<C1::ScalarField>,
cf_r1cs: R1CS<C2::ScalarField>, // Notice that this is a different set of R1CS constraints than the 'r1cs'. This is the R1CS of the CycleFoldCircuit
poseidon_config: PoseidonConfig<C1::ScalarField>,
pedersen_params: PedersenParams<C1>, // PedersenParams over C1
cf_pedersen_params: PedersenParams<C2>, // CycleFold PedersenParams, over C2
F: FC, // F circuit
i: C1::ScalarField,
z_0: Vec<C1::ScalarField>,
z_i: Vec<C1::ScalarField>,
w_i: Witness<C1>,
u_i: CommittedInstance<C1>,
W_i: Witness<C1>,
U_i: CommittedInstance<C1>,
// cyclefold running instance
cf_W_i: Witness<C2>,
cf_U_i: CommittedInstance<C2>,
/// R1CS of the Augmented Function circuit
pub r1cs: R1CS<C1::ScalarField>,
/// R1CS of the CycleFold circuit
pub cf_r1cs: R1CS<C2::ScalarField>,
pub poseidon_config: PoseidonConfig<C1::ScalarField>,
/// PedersenParams over C1
pub pedersen_params: PedersenParams<C1>,
/// CycleFold PedersenParams, over C2
pub cf_pedersen_params: PedersenParams<C2>,
/// F circuit, the circuit that is being folded
pub F: FC,
pub i: C1::ScalarField,
/// initial state
pub z_0: Vec<C1::ScalarField>,
/// current i-th state
pub z_i: Vec<C1::ScalarField>,
/// Nova instances
pub w_i: Witness<C1>,
pub u_i: CommittedInstance<C1>,
pub W_i: Witness<C1>,
pub U_i: CommittedInstance<C1>,
/// CycleFold running instance
pub cf_W_i: Witness<C2>,
pub cf_U_i: CommittedInstance<C2>,
}
impl<C1, GC1, C2, GC2, FC> IVC<C1, GC1, C2, GC2, FC>

+ 1
- 0
src/folding/nova/mod.rs
View File

@ -14,6 +14,7 @@ use crate::Error;
pub mod circuits;
pub mod cyclefold;
pub mod decider;
pub mod ivc;
pub mod nifs;
pub mod traits;

+ 0
- 1
src/lib.rs
View File

@ -10,7 +10,6 @@ pub mod transcript;
use transcript::Transcript;
pub mod ccs;
pub mod constants;
pub mod decider;
pub mod folding;
pub mod frontend;
pub mod pedersen;

+ 86
- 7
src/pedersen.rs
View File

@ -1,6 +1,9 @@
use ark_ec::CurveGroup;
use ark_ff::Field;
use ark_r1cs_std::{boolean::Boolean, groups::GroupOpsBounds, prelude::CurveVar};
use ark_relations::r1cs::SynthesisError;
use ark_std::{rand::Rng, UniformRand};
use std::marker::PhantomData;
use core::marker::PhantomData;
use crate::utils::vec::{vec_add, vec_scalar_mul};
@ -9,14 +12,14 @@ use crate::Error;
#[derive(Debug, Clone, Eq, PartialEq)]
pub struct Proof<C: CurveGroup> {
R: C,
u: Vec<C::ScalarField>,
r_u: C::ScalarField,
pub R: C,
pub u: Vec<C::ScalarField>,
pub r_u: C::ScalarField,
}
#[derive(Debug, Clone, Eq, PartialEq)]
pub struct Params<C: CurveGroup> {
h: C,
pub h: C,
pub generators: Vec<C::Affine>,
}
@ -111,13 +114,52 @@ impl Pedersen {
}
}
pub type CF<C> = <<C as CurveGroup>::BaseField as Field>::BasePrimeField;
pub struct PedersenGadget<C, GC>
where
C: CurveGroup,
GC: CurveVar<C, CF<C>>,
{
_cf: PhantomData<CF<C>>,
_c: PhantomData<C>,
_gc: PhantomData<GC>,
}
impl<C, GC> PedersenGadget<C, GC>
where
C: CurveGroup,
GC: CurveVar<C, CF<C>>,
<C as ark_ec::CurveGroup>::BaseField: ark_ff::PrimeField,
for<'a> &'a GC: GroupOpsBounds<'a, C, GC>,
{
pub fn commit(
h: GC,
g: Vec<GC>,
v: Vec<Vec<Boolean<CF<C>>>>,
r: Vec<Boolean<CF<C>>>,
) -> Result<GC, SynthesisError> {
let mut res = GC::zero();
res += h.scalar_mul_le(r.iter())?;
for (i, v_i) in v.iter().enumerate() {
res += g[i].scalar_mul_le(v_i.iter())?;
}
Ok(res)
}
}
#[cfg(test)]
mod tests {
use ark_ff::{BigInteger, PrimeField};
use ark_pallas::{constraints::GVar, Fq, Fr, Projective};
use ark_r1cs_std::{alloc::AllocVar, bits::boolean::Boolean, eq::EqGadget};
use ark_relations::r1cs::ConstraintSystem;
use ark_std::UniformRand;
use super::*;
use crate::transcript::poseidon::{tests::poseidon_test_config, PoseidonTranscript};
use ark_pallas::{Fr, Projective};
#[test]
fn test_pedersen_vector() {
let mut rng = ark_std::test_rng();
@ -140,4 +182,41 @@ mod tests {
let proof = Pedersen::<Projective>::prove(&params, &mut transcript_p, &cm, &v, &r).unwrap();
Pedersen::<Projective>::verify(&params, &mut transcript_v, cm, proof).unwrap();
}
#[test]
fn test_pedersen_circuit() {
let mut rng = ark_std::test_rng();
const n: usize = 10;
// setup params
let params = Pedersen::<Projective>::new_params(&mut rng, n);
let v: Vec<Fr> = std::iter::repeat_with(|| Fr::rand(&mut rng))
.take(n)
.collect();
let r: Fr = Fr::rand(&mut rng);
let cm = Pedersen::<Projective>::commit(&params, &v, &r).unwrap();
// circuit
let cs = ConstraintSystem::<Fq>::new_ref();
let v_bits: Vec<Vec<bool>> = v.iter().map(|val| val.into_bigint().to_bits_le()).collect();
let r_bits: Vec<bool> = r.into_bigint().to_bits_le();
// prepare inputs
let vVar: Vec<Vec<Boolean<Fq>>> = v_bits
.iter()
.map(|val_bits| {
Vec::<Boolean<Fq>>::new_witness(cs.clone(), || Ok(val_bits.clone())).unwrap()
})
.collect();
let rVar = Vec::<Boolean<Fq>>::new_witness(cs.clone(), || Ok(r_bits)).unwrap();
let gVar = Vec::<GVar>::new_witness(cs.clone(), || Ok(params.generators)).unwrap();
let hVar = GVar::new_witness(cs.clone(), || Ok(params.h)).unwrap();
let expected_cmVar = GVar::new_witness(cs.clone(), || Ok(cm)).unwrap();
// use the gadget
let cmVar = PedersenGadget::<Projective, GVar>::commit(hVar, gVar, vVar, rVar).unwrap();
cmVar.enforce_equal(&expected_cmVar).unwrap();
}
}

+ 105
- 0
src/utils/gadgets.rs
View File

@ -0,0 +1,105 @@
use ark_ff::PrimeField;
use ark_r1cs_std::{
alloc::{AllocVar, AllocationMode},
fields::FieldVar,
};
use ark_relations::r1cs::{Namespace, SynthesisError};
use core::{borrow::Borrow, marker::PhantomData};
use crate::utils::vec::SparseMatrix;
pub fn mat_vec_mul_sparse<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>>(
m: SparseMatrixVar<F, CF, FV>,
v: Vec<FV>,
) -> Vec<FV> {
let mut res = vec![FV::zero(); m.n_rows];
for (row_i, row) in m.coeffs.iter().enumerate() {
for (value, col_i) in row.iter() {
res[row_i] += value.clone().mul(&v[*col_i].clone());
}
}
res
}
pub fn vec_add<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>>(
a: &Vec<FV>,
b: &Vec<FV>,
) -> Result<Vec<FV>, SynthesisError> {
if a.len() != b.len() {
return Err(SynthesisError::Unsatisfiable);
}
let mut r: Vec<FV> = vec![FV::zero(); a.len()];
for i in 0..a.len() {
r[i] = a[i].clone() + b[i].clone();
}
Ok(r)
}
pub fn vec_scalar_mul<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>>(
vec: &Vec<FV>,
c: &FV,
) -> Vec<FV> {
let mut result = vec![FV::zero(); vec.len()];
for (i, a) in vec.iter().enumerate() {
result[i] = a.clone() * c;
}
result
}
pub fn hadamard<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>>(
a: &Vec<FV>,
b: &Vec<FV>,
) -> Result<Vec<FV>, SynthesisError> {
if a.len() != b.len() {
return Err(SynthesisError::Unsatisfiable);
}
let mut r: Vec<FV> = vec![FV::zero(); a.len()];
for i in 0..a.len() {
r[i] = a[i].clone() * b[i].clone();
}
Ok(r)
}
#[derive(Debug, Clone)]
pub struct SparseMatrixVar<F: PrimeField, CF: PrimeField, FV: FieldVar<F, CF>> {
_f: PhantomData<F>,
_cf: PhantomData<CF>,
_fv: PhantomData<FV>,
pub n_rows: usize,
pub n_cols: usize,
// same format as the native SparseMatrix (which follows ark_relations::r1cs::Matrix format
pub coeffs: Vec<Vec<(FV, usize)>>,
}
impl<F, CF, FV> AllocVar<SparseMatrix<F>, CF> for SparseMatrixVar<F, CF, FV>
where
F: PrimeField,
CF: PrimeField,
FV: FieldVar<F, CF>,
{
fn new_variable<T: Borrow<SparseMatrix<F>>>(
cs: impl Into<Namespace<CF>>,
f: impl FnOnce() -> Result<T, SynthesisError>,
mode: AllocationMode,
) -> Result<Self, SynthesisError> {
f().and_then(|val| {
let cs = cs.into();
let mut coeffs: Vec<Vec<(FV, usize)>> = Vec::new();
for row in val.borrow().coeffs.iter() {
let mut rowVar: Vec<(FV, usize)> = Vec::new();
for &(value, col_i) in row.iter() {
let coeffVar = FV::new_variable(cs.clone(), || Ok(value), mode)?;
rowVar.push((coeffVar, col_i));
}
coeffs.push(rowVar);
}
Ok(Self {
_f: PhantomData,
_cf: PhantomData,
_fv: PhantomData,
n_rows: val.borrow().n_rows,
n_cols: val.borrow().n_cols,
coeffs,
})
})
}
}

+ 1
- 0
src/utils/mod.rs
View File

@ -1,4 +1,5 @@
pub mod bit;
pub mod gadgets;
pub mod hypercube;
pub mod lagrange_poly;
pub mod mle;

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