Eval Lagrange

This commit is contained in:
wborgeaud 2022-01-31 10:07:01 +01:00
parent 8993270f80
commit 851455a26a
2 changed files with 47 additions and 32 deletions

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@ -1,6 +1,7 @@
use plonky2_field::extension_field::Extendable;
use plonky2_field::field_types::Field;
use plonky2_field::packed_field::PackedField;
use plonky2_util::log2_strict;
use crate::fri::oracle::SALT_SIZE;
use crate::fri::structure::FriOracleInfo;

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@ -1,13 +1,17 @@
use anyhow::{ensure, Result};
use plonky2::field::extension_field::Extendable;
use plonky2::field::field_types::Field;
use plonky2::hash::hash_types::RichField;
use plonky2::plonk::circuit_data::CommonCircuitData;
use plonky2::plonk::config::GenericConfig;
use plonky2::plonk::proof::ProofWithPublicInputs;
use plonky2_util::log2_strict;
use crate::config::StarkConfig;
use crate::proof::{StarkProof, StarkProofWithPublicInputs};
use crate::constraint_consumer::ConstraintConsumer;
use crate::proof::{StarkOpeningSet, StarkProof, StarkProofChallenges, StarkProofWithPublicInputs};
use crate::stark::Stark;
use crate::vars::StarkEvaluationVars;
pub(crate) fn verify<
F: RichField + Extendable<D>,
@ -28,44 +32,40 @@ pub(crate) fn verify_with_challenges<
S: Stark<F, D>,
const D: usize,
>(
stark: S,
proof_with_pis: StarkProofWithPublicInputs<F, C, D>,
challenges: ProofChallenges<F, D>,
verifier_data: &VerifierOnlyCircuitData<C, D>,
common_data: &CommonCircuitData<F, C, D>,
challenges: StarkProofChallenges<F, D>,
config: &StarkConfig,
) -> Result<()> {
assert_eq!(
proof_with_pis.public_inputs.len(),
common_data.num_public_inputs
);
let public_inputs_hash = &proof_with_pis.get_public_inputs_hash();
let ProofWithPublicInputs { proof, .. } = proof_with_pis;
let StarkProofWithPublicInputs {
proof,
public_inputs,
} = proof_with_pis;
let degree = recover_degree(&proof, config);
let degree_log = log2_strict(degree);
let local_constants = &proof.openings.constants;
let local_wires = &proof.openings.wires;
let vars = EvaluationVars {
local_constants,
local_wires,
public_inputs_hash,
let local_values = &proof.openings.local_values;
let next_values = &proof.openings.local_values;
let StarkOpeningSet {
local_values,
next_values,
permutation_zs,
quotient_polys,
} = &proof.openings;
let vars = StarkEvaluationVars {
local_values,
next_values,
public_inputs: &public_inputs,
};
let local_zs = &proof.openings.plonk_zs;
let next_zs = &proof.openings.plonk_zs_right;
let s_sigmas = &proof.openings.plonk_sigmas;
let partial_products = &proof.openings.partial_products;
// Evaluate the vanishing polynomial at our challenge point, zeta.
let vanishing_polys_zeta = eval_vanishing_poly(
common_data,
challenges.plonk_zeta,
vars,
local_zs,
next_zs,
partial_products,
s_sigmas,
&challenges.plonk_betas,
&challenges.plonk_gammas,
&challenges.plonk_alphas,
let mut consumer = ConstraintConsumer::<F::Extension>::new(
challenges.stark_alphas,
lagrange_first.values[i],
lagrange_last.values[i],
);
let (l_1, l_n) = eval_l_1_and_l_last(degree_log, challenges.stark_zeta);
stark.eval_ext()
// Check each polynomial identity, of the form `vanishing(x) = Z_H(x) quotient(x)`, at zeta.
let quotient_polys_zeta = &proof.openings.quotient_polys;
@ -103,3 +103,17 @@ pub(crate) fn verify_with_challenges<
Ok(())
}
/// Evaluate the Lagrange basis `L_1` and `L_n` at a point `x`.
fn eval_l_1_and_l_last<F: Field>(log_n: usize, x: F) -> (F,F) {
let n = 1 << log_n;
let g = F::primitive_root_of_unity(log_n);
let z_x = x.exp_power_of_2(log_n);
let invs = F::batch_multiplicative_inverse(&[F::from_canonical_usize(n) * (x - F::ONE), F::from_canonical_usize(n) * (g*x - F::ONE)]);
(z_x * invs[0], z_x * invs[1])
}
fn recover_degree<F: RichField + Extendable<D>, C: GenericConfig<D, F = F>, const D: usize>(proof: &StarkProof<F, C,D>, config: &StarkConfig) -> usize {
1<<(proof.opening_proof.query_round_proofs[0].initial_trees_proof.evals_proofs[0].1.siblings.len() + config.fri_config.cap_height)
}