Identify problem in GMiMc

This commit is contained in:
wborgeaud 2021-07-14 20:54:30 +02:00
parent dcdbb6be33
commit 7793b5a956
11 changed files with 227 additions and 126 deletions

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@ -1,5 +1,6 @@
use std::collections::{HashMap, HashSet};
use std::convert::TryInto;
use std::sync::Arc;
use std::time::Instant;
use log::info;
@ -8,6 +9,7 @@ use crate::circuit_data::{
CircuitConfig, CircuitData, CommonCircuitData, ProverCircuitData, ProverOnlyCircuitData,
VerifierCircuitData, VerifierOnlyCircuitData,
};
use crate::copy_constraint::CopyConstraint;
use crate::field::cosets::get_unique_coset_shifts;
use crate::field::extension_field::target::ExtensionTarget;
use crate::field::extension_field::Extendable;
@ -23,6 +25,7 @@ use crate::polynomial::commitment::ListPolynomialCommitment;
use crate::polynomial::polynomial::PolynomialValues;
use crate::proof::HashTarget;
use crate::target::Target;
use crate::util::marking::{Markable, MarkedTargets};
use crate::util::partial_products::num_partial_products;
use crate::util::{log2_ceil, log2_strict, transpose, transpose_poly_values};
use crate::wire::Wire;
@ -42,7 +45,11 @@ pub struct CircuitBuilder<F: Extendable<D>, const D: usize> {
/// The next available index for a `VirtualTarget`.
pub virtual_target_index: usize,
copy_constraints: Vec<(Target, Target)>,
copy_constraints: Vec<CopyConstraint>,
context: String,
pub marked_targets: Vec<MarkedTargets>,
/// Generators used to generate the witness.
pub generators: Vec<Box<dyn WitnessGenerator<F>>>,
@ -60,6 +67,8 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
public_input_index: 0,
virtual_target_index: 0,
copy_constraints: Vec::new(),
context: String::new(),
marked_targets: Vec::new(),
generators: Vec::new(),
constants_to_targets: HashMap::new(),
targets_to_constants: HashMap::new(),
@ -158,12 +167,29 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
self.assert_equal(src, dst);
}
/// Same as `route` with a named copy constraint.
pub fn named_route(&mut self, src: Target, dst: Target, name: String) {
self.generate_copy(src, dst);
self.named_assert_equal(src, dst, name);
}
pub fn route_extension(&mut self, src: ExtensionTarget<D>, dst: ExtensionTarget<D>) {
for i in 0..D {
self.route(src.0[i], dst.0[i]);
}
}
pub fn named_route_extension(
&mut self,
src: ExtensionTarget<D>,
dst: ExtensionTarget<D>,
name: String,
) {
for i in 0..D {
self.named_route(src.0[i], dst.0[i], format!("{}: limb {}", name, i));
}
}
/// Adds a generator which will copy `src` to `dst`.
pub fn generate_copy(&mut self, src: Target, dst: Target) {
self.add_generator(CopyGenerator { src, dst });
@ -180,7 +206,24 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
y.is_routable(&self.config),
"Tried to route a wire that isn't routable"
);
self.copy_constraints.push((x, y));
self.copy_constraints
.push(CopyConstraint::new((x, y), self.context.clone()));
}
/// Same as `assert_equal` for a named copy constraint.
pub fn named_assert_equal(&mut self, x: Target, y: Target, name: String) {
assert!(
x.is_routable(&self.config),
"Tried to route a wire that isn't routable"
);
assert!(
y.is_routable(&self.config),
"Tried to route a wire that isn't routable"
);
self.copy_constraints.push(CopyConstraint::new(
(x, y),
format!("{}: {}", self.context.clone(), name),
));
}
pub fn assert_zero(&mut self, x: Target) {
@ -194,6 +237,18 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
}
}
pub fn named_assert_equal_extension(
&mut self,
x: ExtensionTarget<D>,
y: ExtensionTarget<D>,
name: String,
) {
for i in 0..D {
self.assert_equal(x.0[i], y.0[i]);
self.named_assert_equal(x.0[i], y.0[i], format!("{}: limb {}", name, i));
}
}
pub fn add_generators(&mut self, generators: Vec<Box<dyn WitnessGenerator<F>>>) {
self.generators.extend(generators);
}
@ -249,6 +304,17 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
self.targets_to_constants.get(&target).cloned()
}
pub fn set_context(&mut self, new_context: &str) {
self.context = new_context.to_string();
}
pub fn add_marked(&mut self, targets: Arc<dyn Markable>, name: &str) {
self.marked_targets.push(MarkedTargets {
targets,
name: name.to_string(),
})
}
/// The number of polynomial values that will be revealed per opening, both for the "regular"
/// polynomials and for the Z polynomials. Because calculating these values involves a recursive
/// dependence (the amount of blinding depends on the degree, which depends on the blinding),
@ -402,7 +468,7 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
target_partition.add(Target::VirtualTarget { index });
}
for &(a, b) in &self.copy_constraints {
for &CopyConstraint { pair: (a, b), .. } in &self.copy_constraints {
target_partition.merge(a, b);
}
@ -457,6 +523,7 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
subgroup,
copy_constraints: self.copy_constraints,
gate_instances: self.gate_instances,
marked_targets: self.marked_targets,
};
// The HashSet of gates will have a non-deterministic order. When converting to a Vec, we

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@ -2,6 +2,7 @@ use std::ops::{Range, RangeFrom};
use anyhow::Result;
use crate::copy_constraint::CopyConstraint;
use crate::field::extension_field::Extendable;
use crate::field::field::Field;
use crate::fri::FriConfig;
@ -79,14 +80,7 @@ pub struct CircuitData<F: Extendable<D>, const D: usize> {
impl<F: Extendable<D>, const D: usize> CircuitData<F, D> {
pub fn prove(&self, inputs: PartialWitness<F>) -> Proof<F, D> {
prove(&self.prover_only, &self.common, inputs, vec![])
}
pub fn prove_marked(
&self,
inputs: PartialWitness<F>,
marked: Vec<MarkedTargets>,
) -> Proof<F, D> {
prove(&self.prover_only, &self.common, inputs, marked)
prove(&self.prover_only, &self.common, inputs)
}
pub fn verify(&self, proof: Proof<F, D>) -> Result<()> {
@ -108,7 +102,7 @@ pub struct ProverCircuitData<F: Extendable<D>, const D: usize> {
impl<F: Extendable<D>, const D: usize> ProverCircuitData<F, D> {
pub fn prove(&self, inputs: PartialWitness<F>) -> Proof<F, D> {
prove(&self.prover_only, &self.common, inputs, vec![])
prove(&self.prover_only, &self.common, inputs)
}
}
@ -134,9 +128,10 @@ pub(crate) struct ProverOnlyCircuitData<F: Extendable<D>, const D: usize> {
/// Subgroup of order `degree`.
pub subgroup: Vec<F>,
/// The circuit's copy constraints.
pub copy_constraints: Vec<(Target, Target)>,
pub copy_constraints: Vec<CopyConstraint>,
/// The concrete placement of each gate in the circuit.
pub gate_instances: Vec<GateInstance<F, D>>,
pub marked_targets: Vec<MarkedTargets>,
}
/// Circuit data required by the verifier, but not the prover.

21
src/copy_constraint.rs Normal file
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@ -0,0 +1,21 @@
use crate::target::Target;
pub struct CopyConstraint {
pub pair: (Target, Target),
pub name: String,
}
impl From<(Target, Target)> for CopyConstraint {
fn from(pair: (Target, Target)) -> Self {
Self {
pair,
name: String::default(),
}
}
}
impl CopyConstraint {
pub fn new(pair: (Target, Target), name: String) -> Self {
Self { pair, name }
}
}

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@ -2,6 +2,7 @@ use crate::field::extension_field::{flatten, unflatten, Extendable};
use crate::field::field::Field;
use crate::fri::FriConfig;
use crate::hash::hash_n_to_1;
use crate::merkle_proofs::verify_merkle_proof;
use crate::merkle_tree::MerkleTree;
use crate::plonk_challenger::Challenger;
use crate::plonk_common::reduce_with_powers;
@ -139,6 +140,9 @@ fn fri_prover_query_round<F: Field + Extendable<D>, const D: usize>(
.iter()
.map(|t| (t.get(x_index).to_vec(), t.prove(x_index)))
.collect::<Vec<_>>();
for ((v, p), t) in initial_proof.iter().zip(initial_merkle_trees.iter()) {
verify_merkle_proof(v.clone(), x_index, t.root, p, false).unwrap();
}
for (i, tree) in trees.iter().enumerate() {
let arity_bits = config.reduction_arity_bits[i];
let arity = 1 << arity_bits;

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@ -1,3 +1,5 @@
use std::sync::Arc;
use env_logger::builder;
use itertools::izip;
@ -89,7 +91,7 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
// Size of the LDE domain.
let n = proof.final_poly.len() << total_arities;
// Recover the random betas used in the FRI reductions.
self.set_context("Recover the random betas used in the FRI reductions.");
let betas = proof
.commit_phase_merkle_roots
.iter()
@ -100,7 +102,7 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
.collect::<Vec<_>>();
challenger.observe_extension_elements(&proof.final_poly.0);
// Check PoW.
self.set_context("Check PoW");
self.fri_verify_proof_of_work(proof, challenger, config);
// Check that parameters are coherent.
@ -136,7 +138,19 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
proof: &FriInitialTreeProofTarget,
initial_merkle_roots: &[HashTarget],
) {
for ((evals, merkle_proof), &root) in proof.evals_proofs.iter().zip(initial_merkle_roots) {
for (i, ((evals, merkle_proof), &root)) in proof
.evals_proofs
.iter()
.zip(initial_merkle_roots)
.enumerate()
{
self.set_context(&format!("Verify {}-th initial Merkle proof.", i));
if i == 0 {
self.add_marked(Arc::new(evals.clone()), "Evals");
self.add_marked(Arc::new(merkle_proof.siblings.clone()), "merkle proof");
self.add_marked(Arc::new(root.clone()), "root");
self.add_marked(Arc::new(x_index.clone()), "x_index");
}
self.verify_merkle_proof(evals.clone(), x_index, root, merkle_proof);
}
}
@ -262,6 +276,7 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
x_index = self.split_low_high(x_index, n_log, 64).0;
let mut x_index_num_bits = n_log;
let mut domain_size = n;
self.set_context("Check FRI initial proof.");
self.fri_verify_initial_proof(
x_index,
&round_proof.initial_trees_proof,
@ -304,6 +319,7 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
self.split_low_high(x_index, arity_bits, x_index_num_bits);
evals = self.insert(low_x_index, e_x, evals);
evaluations.push(evals);
self.set_context("Verify FRI round Merkle proof.");
self.verify_merkle_proof(
flatten_target(&evaluations[i]),
high_x_index,

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@ -2,6 +2,7 @@
pub mod circuit_builder;
pub mod circuit_data;
pub mod copy_constraint;
pub mod field;
pub mod fri;
pub mod gadgets;

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@ -1,3 +1,5 @@
use std::sync::Arc;
use anyhow::{ensure, Result};
use crate::circuit_builder::CircuitBuilder;
@ -57,81 +59,6 @@ pub(crate) fn verify_merkle_proof<F: Field>(
}
impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
pub(crate) fn verify_merkle_proof_marked(
&mut self,
leaf_data: Vec<Target>,
leaf_index: Target,
merkle_root: HashTarget,
proof: &MerkleProofTarget,
marked: &mut Vec<MarkedTargets>,
) {
let zero = self.zero();
let height = proof.siblings.len();
let purported_index_bits = self.split_le_virtual(leaf_index, height);
let mut state: HashTarget = self.hash_or_noop(leaf_data);
let mut acc_leaf_index = zero;
for (bit, &sibling) in purported_index_bits.into_iter().zip(&proof.siblings) {
let gate = self
.add_gate_no_constants(GMiMCGate::<F, D, GMIMC_ROUNDS>::with_automatic_constants());
let swap_wire = GMiMCGate::<F, D, GMIMC_ROUNDS>::WIRE_SWAP;
let swap_wire = Target::Wire(Wire {
gate,
input: swap_wire,
});
self.generate_copy(bit, swap_wire);
let old_acc_wire = GMiMCGate::<F, D, GMIMC_ROUNDS>::WIRE_INDEX_ACCUMULATOR_OLD;
let old_acc_wire = Target::Wire(Wire {
gate,
input: old_acc_wire,
});
self.route(acc_leaf_index, old_acc_wire);
let new_acc_wire = GMiMCGate::<F, D, GMIMC_ROUNDS>::WIRE_INDEX_ACCUMULATOR_NEW;
let new_acc_wire = Target::Wire(Wire {
gate,
input: new_acc_wire,
});
acc_leaf_index = new_acc_wire;
let input_wires = (0..12)
.map(|i| {
Target::Wire(Wire {
gate,
input: GMiMCGate::<F, D, GMIMC_ROUNDS>::wire_input(i),
})
})
.collect::<Vec<_>>();
for i in 0..4 {
self.route(state.elements[i], input_wires[i]);
self.route(sibling.elements[i], input_wires[4 + i]);
self.route(zero, input_wires[8 + i]);
}
state = HashTarget::from_vec(
(0..4)
.map(|i| {
Target::Wire(Wire {
gate,
input: GMiMCGate::<F, D, GMIMC_ROUNDS>::wire_output(i),
})
})
.collect(),
)
}
// self.assert_equal(acc_leaf_index, leaf_index);
marked.push(MarkedTargets {
targets: Box::new(acc_leaf_index),
name: "acc leaf".to_string(),
});
self.assert_hashes_equal(state, merkle_root)
}
/// Verifies that the given leaf data is present at the given index in the Merkle tree with the
/// given root.
pub(crate) fn verify_merkle_proof(
@ -149,6 +76,7 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
let mut acc_leaf_index = zero;
for (bit, &sibling) in purported_index_bits.into_iter().zip(&proof.siblings) {
self.add_marked(Arc::new(state), "current digest");
let gate = self
.add_gate_no_constants(GMiMCGate::<F, D, GMIMC_ROUNDS>::with_automatic_constants());
@ -203,7 +131,7 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
let leaf_index_rev = self.reverse_limbs::<2>(leaf_index, height);
self.assert_equal(acc_leaf_index, leaf_index_rev);
self.assert_hashes_equal(state, merkle_root)
self.named_assert_hashes_equal(state, merkle_root, "Check Merkle root".into())
}
pub(crate) fn assert_hashes_equal(&mut self, x: HashTarget, y: HashTarget) {
@ -211,6 +139,16 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
self.assert_equal(x.elements[i], y.elements[i]);
}
}
pub(crate) fn named_assert_hashes_equal(&mut self, x: HashTarget, y: HashTarget, name: String) {
for i in 0..4 {
self.named_assert_equal(
x.elements[i],
y.elements[i],
format!("{}: {}-th hash element", name, i),
);
}
}
}
#[cfg(test)]
@ -239,7 +177,6 @@ mod tests {
let config = CircuitConfig::large_config();
let mut builder = CircuitBuilder::<F, 4>::new(config);
let mut pw = PartialWitness::new();
let mut marked = Vec::new();
let log_n = 8;
let n = 1 << log_n;
@ -265,19 +202,70 @@ mod tests {
pw.set_target(data[j], tree.leaves[i][j]);
}
marked.push(MarkedTargets {
targets: Box::new(i_c),
name: "i_c".to_string(),
});
marked.push(MarkedTargets {
targets: Box::new(builder.reverse_limbs::<2>(i_c, log_n)),
name: "rev i_c".to_string(),
});
builder.verify_merkle_proof_marked(data.clone(), i_c, root_t, &proof_t, &mut marked);
builder.verify_merkle_proof(data, i_c, root_t, &proof_t);
let data = builder.build();
let proof = data.prove_marked(pw, marked);
let proof = data.prove(pw);
verify(proof, &data.verifier_only, &data.common)
}
#[test]
fn test_recursive_merkle_proof_yo() -> Result<()> {
type F = CrandallField;
type FF = QuarticCrandallField;
let config = CircuitConfig::large_config();
let mut builder = CircuitBuilder::<F, 4>::new(config);
let mut pw = PartialWitness::new();
let eval = vec![
8165005271518921330,
6083226207459673392,
9958534500108693972,
3430614617054831715,
14276647488823198467,
11751680815846448477,
2771303161388554632,
2371046485289351947,
16743918419162514074,
9932615810638040318,
16314448410395528119,
1511019414432045441,
5645123553081661379,
9778873694114674382,
10629301051878288289,
16655634835422730769,
7474748727207643713,
8501202586470516512,
5612524789765317534,
3026252715636633329,
15131263578183166645,
1869341605741303173,
14645831398335944979,
8356334351657818532,
4888183615701827634,
5994174007215505657,
11524125964783895772,
2202081323880269694,
9827048951184368953,
12675978139336549297,
5868550852792001156,
];
let eval = eval
.into_iter()
.map(F::from_canonical_usize)
.collect::<Vec<_>>();
let data = builder.add_virtual_targets(eval.len());
for j in 0..data.len() {
pw.set_target(data[j], eval[j]);
}
dbg!(hash_or_noop(eval.clone()));
let hash = builder.hash_or_noop(data.clone());
builder.add_marked(Arc::new(hash), "hash test");
let data = builder.build();
let proof = data.prove(pw);
verify(proof, &data.verifier_only, &data.common)
}

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@ -27,7 +27,6 @@ pub(crate) fn prove<F: Extendable<D>, const D: usize>(
prover_data: &ProverOnlyCircuitData<F, D>,
common_data: &CommonCircuitData<F, D>,
inputs: PartialWitness<F>,
marked: Vec<MarkedTargets>,
) -> Proof<F, D> {
let fri_config = &common_data.config.fri_config;
let config = &common_data.config;
@ -45,6 +44,10 @@ pub(crate) fn prove<F: Extendable<D>, const D: usize>(
"to generate witness"
);
for m in &prover_data.marked_targets {
m.display(&partial_witness);
}
timed!(
partial_witness
.check_copy_constraints(&prover_data.copy_constraints, &prover_data.gate_instances)
@ -57,10 +60,6 @@ pub(crate) fn prove<F: Extendable<D>, const D: usize>(
"to compute full witness"
);
for m in marked {
m.display(&witness);
}
let wires_values: Vec<PolynomialValues<F>> = timed!(
witness
.wire_values

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@ -1,3 +1,5 @@
use std::sync::Arc;
use env_logger::builder;
use crate::circuit_builder::CircuitBuilder;
@ -33,6 +35,7 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
let mut challenger = RecursiveChallenger::new(self);
self.set_context("Challenger observes proof and generates challenges.");
let digest =
HashTarget::from_vec(self.constants(&inner_common_data.circuit_digest.elements));
challenger.observe_hash(&digest);
@ -59,7 +62,7 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
let partial_products = &proof.openings.partial_products;
let zeta_pow_deg = self.exp_u64_extension(zeta, inner_common_data.degree() as u64);
// Evaluate the vanishing polynomial at our challenge point, zeta.
self.set_context("Evaluate the vanishing polynomial at our challenge point, zeta.");
let vanishing_polys_zeta = eval_vanishing_poly_recursively(
self,
inner_common_data,
@ -78,9 +81,10 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
marked.push(MarkedTargets {
name: "vanishing polys".into(),
targets: Box::new(vanishing_polys_zeta[0].clone()),
targets: Arc::new(vanishing_polys_zeta[0].clone()),
});
self.set_context("Check vanishing and quotient polynomials.");
let quotient_polys_zeta = &proof.openings.quotient_polys;
let zeta_pow_deg = self.exp_u64_extension(zeta, 1 << inner_common_data.degree_bits as u64);
let z_h_zeta = self.sub_extension(zeta_pow_deg, one);
@ -91,7 +95,11 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
let mut scale = ReducingFactorTarget::new(zeta_pow_deg);
let mut rhs = scale.reduce(chunk, self);
rhs = self.mul_extension(z_h_zeta, rhs);
self.route_extension(vanishing_polys_zeta[i], rhs);
self.named_route_extension(
vanishing_polys_zeta[i],
rhs,
format!("Vanishing polynomial == Z_H * quotient, challenge {}", i),
);
}
let evaluations = proof.openings.clone();
@ -355,8 +363,9 @@ mod tests {
builder.add_recursive_verifier(pt, &config, &inner_data, &cd, &mut marked);
dbg!(builder.num_gates());
dbg!(builder.marked_targets.len());
let data = builder.build();
let recursive_proof = data.prove_marked(pw, marked);
let recursive_proof = data.prove(pw);
verify(recursive_proof, &data.verifier_only, &data.common).unwrap();
}

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@ -1,4 +1,5 @@
use std::convert::TryInto;
use std::sync::Arc;
use crate::field::extension_field::target::ExtensionTarget;
use crate::field::field::Field;
@ -6,7 +7,7 @@ use crate::proof::HashTarget;
use crate::target::Target;
use crate::witness::{PartialWitness, Witness};
pub trait Markable {
pub trait Markable: 'static + Send + Sync {
fn targets(&self) -> Vec<Target>;
}
@ -34,20 +35,18 @@ impl<M: Markable> Markable for Vec<M> {
}
}
#[derive(Clone)]
pub struct MarkedTargets {
pub targets: Box<dyn Markable>,
pub targets: Arc<dyn Markable>,
pub name: String,
}
impl MarkedTargets {
pub fn display<F: Field>(&self, wit: &Witness<F>) {
pub fn display<F: Field>(&self, pw: &PartialWitness<F>) {
let targets = self.targets.targets();
println!("Values for {}:", self.name);
for &t in &targets {
match t {
Target::Wire(w) => println!("{}", wit.get_wire(w.gate, w.input)),
_ => println!("Not a wire."),
}
println!("{}", pw.get_target(t));
}
println!("End of values for {}", self.name);
}

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@ -3,6 +3,7 @@ use std::convert::TryInto;
use anyhow::{ensure, Result};
use crate::copy_constraint::CopyConstraint;
use crate::field::extension_field::target::ExtensionTarget;
use crate::field::extension_field::{Extendable, FieldExtension};
use crate::field::field::Field;
@ -169,23 +170,23 @@ impl<F: Field> PartialWitness<F> {
/// Checks that the copy constraints are satisfied in the witness.
pub fn check_copy_constraints<const D: usize>(
&self,
copy_constraints: &[(Target, Target)],
copy_constraints: &[CopyConstraint],
gate_instances: &[GateInstance<F, D>],
) -> Result<()>
where
F: Extendable<D>,
{
for &(a, b) in copy_constraints {
for CopyConstraint { pair: (a, b), name } in copy_constraints {
// TODO: Take care of public inputs once they land.
let va = self.try_get_target(a).unwrap_or(F::ZERO);
let vb = self.try_get_target(b).unwrap_or(F::ZERO);
let desc = |t: Target| -> String {
let va = self.try_get_target(*a).unwrap_or(F::ZERO);
let vb = self.try_get_target(*b).unwrap_or(F::ZERO);
let desc = |t: &Target| -> String {
match t {
Target::Wire(Wire { gate, input }) => format!(
"wire {} of gate #{} (`{}`)",
input,
gate,
gate_instances[gate].gate_type.0.id()
gate_instances[*gate].gate_type.0.id()
),
Target::PublicInput { index } => format!("{}-th public input", index),
Target::VirtualTarget { index } => format!("{}-th virtual target", index),
@ -193,8 +194,9 @@ impl<F: Field> PartialWitness<F> {
};
ensure!(
va == vb,
"Copy constraint between {} and {} is not satisfied. \
"Copy constraint '{}' between {} and {} is not satisfied. \
Got values of {} and {} respectively.",
name,
desc(a),
desc(b),
va,