Barretenberg
The ZK-SNARK library at the core of Aztec
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batched_honk_translator_prover.cpp
Go to the documentation of this file.
2
9
10namespace bb {
11
13 std::shared_ptr<MegaZKVK> mega_zk_vk,
14 std::shared_ptr<Transcript> transcript)
15 : mega_zk_inst(std::move(mega_zk_instance))
16 , mega_zk_vk(std::move(mega_zk_vk))
17 , transcript(std::move(transcript))
18{}
19
27{
29 oink_prover.prove(/*emit_alpha=*/false);
30}
31
47
66{
67 // Draw joint alpha after all pre-sumcheck commitments from both circuits.
68 const FF alpha = transcript->template get_challenge<FF>("Sumcheck:alpha");
69
70 // Draw joint gate challenges (17 total).
71 std::vector<FF> gate_challenges(JOINT_LOG_N);
72 for (size_t i = 0; i < JOINT_LOG_N; i++) {
73 gate_challenges[i] = transcript->template get_challenge<FF>("Sumcheck:gate_challenge_" + std::to_string(i));
74 }
75
76 // Compute α^{K_H}: offset for translator subrelation separators.
77 FF alpha_power_KH = FF(1);
78 for (size_t i = 0; i < MegaZKFlavor::NUM_SUBRELATIONS; i++) {
79 alpha_power_KH *= alpha;
80 }
81
82 // Subrelation separator arrays (powers of alpha starting at alpha^1).
83 const MegaZKSubrelationSeparators mega_zk_alphas =
85 const TransSubrelationSeparators translator_alphas =
87
88 // Derive MegaZK circuit log_circuit_size from the proving instance.
89 const size_t mega_zk_log_n = mega_zk_inst->log_dyadic_size();
90 BB_ASSERT(mega_zk_log_n <= JOINT_LOG_N);
91
92 // Joint ZK data: single Libra masking for all 17 rounds.
93 constexpr size_t log_subgroup_size = static_cast<size_t>(numeric::get_msb(Curve::SUBGROUP_SIZE));
94 MegaZKCommitmentKey small_ck(1 << (log_subgroup_size + 1));
96
97 // Gate separator polynomials:
98 // MegaZK circuit uses gate_challenges[0..mega_zk_log_n-1] for beta_products (real rounds only).
99 // During virtual rounds, only betas[] and partial_evaluation_result are accessed.
100 // Translator uses all JOINT_LOG_N challenges.
101 GateSeparatorPolynomial<FF> mega_zk_gate_sep(gate_challenges, mega_zk_log_n);
102 GateSeparatorPolynomial<FF> translator_gate_sep(gate_challenges, JOINT_LOG_N);
103
104 // Round helper objects.
105 MegaZKProverRound mega_zk_round(static_cast<size_t>(1) << mega_zk_log_n);
106 TransProverRound translator_round(static_cast<size_t>(1) << JOINT_LOG_N);
107
108 // Row disabling polynomial for the MegaZK circuit.
109 // (TranslatorFlavor does not use UseRowDisablingPolynomial.)
111
112 auto& mega_zk_polys = mega_zk_inst->polynomials;
113 auto& mega_zk_params = mega_zk_inst->relation_parameters;
114 auto& translator_polys = translator_key->proving_key->polynomials;
115
116 // Allocate partially evaluated polynomial tables (populated by the first partially_evaluate call).
117 MegaZKPartialEvals mega_zk_partial(mega_zk_polys, static_cast<size_t>(1) << mega_zk_log_n);
118 TransPartialEvals translator_partial(translator_polys, static_cast<size_t>(1) << JOINT_LOG_N);
119
120 // Type aliases for static partial-evaluation helpers from SumcheckProver.
121 using MegaZKSumcheck = SumcheckProver<MegaZKFlavor>;
122 using TransSumcheck = SumcheckProver<TranslatorFlavor>;
123
125
127
128 // Per-round helper: add Libra masking, send the joint univariate, receive the round challenge.
129 auto send_round = [&](size_t round_idx) -> FF {
131 transcript->send_to_verifier("Sumcheck:univariate_" + std::to_string(round_idx), U_joint);
132 FF u = transcript->template get_challenge<FF>("Sumcheck:u_" + std::to_string(round_idx));
133 joint_challenge.emplace_back(u);
134 return u;
135 };
136
137 // Per-round helper: update ZK data, gate separators, translator round size, and optionally send
138 // translator minicircuit evaluations.
139 auto update_round_state = [&](size_t round_idx, const FF& u) {
140 if (round_idx == TranslatorFlavor::LOG_MINI_CIRCUIT_SIZE - 1) {
141 transcript->send_to_verifier("Sumcheck:minicircuit_evaluations",
143 }
145 mega_zk_gate_sep.partially_evaluate(u);
146 translator_gate_sep.partially_evaluate(u);
147 translator_round.round_size >>= 1;
148 };
149
150 // Per-round helper: compute U_joint = U_MZK + α^{K_H}·U_translator from given polynomial
151 // sources, add Libra masking, send to verifier, and return the round challenge.
152 // hpolys/tpolys are the full tables on round 0, the partial-eval tables on subsequent rounds.
153 auto do_round = [&](auto& hpolys, auto& tpolys, size_t round_idx) -> FF {
155
156 auto U_H = mega_zk_round.compute_univariate(hpolys, mega_zk_params, mega_zk_gate_sep, mega_zk_alphas);
157 U_H -= mega_zk_round.compute_disabled_contribution(
158 hpolys, mega_zk_params, mega_zk_gate_sep, mega_zk_alphas, round_idx, rdp);
159 U_joint += U_H;
160
161 auto U_T = translator_round.compute_univariate(
162 tpolys, translator_relation_parameters, translator_gate_sep, translator_alphas);
163 for (auto& eval : U_T.evaluations) {
164 eval *= alpha_power_KH;
165 }
166 U_joint += U_T;
167
168 return send_round(round_idx);
169 };
170
171 // ==================== Round 0: bootstraps mega_zk_partial and translator_partial ====================
172 // PartiallyEvaluatedMultivariates only allocates output buffers; values are populated here.
173 {
174 const FF u = do_round(mega_zk_polys, translator_polys, 0);
175 MegaZKSumcheck::partially_evaluate(mega_zk_polys, mega_zk_partial, u);
176 TransSumcheck::partially_evaluate(translator_polys, translator_partial, u);
177 rdp.update_evaluations(u, 0);
178 mega_zk_round.round_size >>= 1;
179 update_round_state(0, u);
180 }
181
182 // ==================== Real rounds 1..mega_zk_log_n-1 ====================
183 for (size_t round_idx = 1; round_idx < mega_zk_log_n; round_idx++) {
184 const FF u = do_round(mega_zk_partial, translator_partial, round_idx);
185 MegaZKSumcheck::partially_evaluate_in_place(mega_zk_partial, u);
186 TransSumcheck::partially_evaluate_in_place(translator_partial, u);
187 rdp.update_evaluations(u, round_idx);
188 mega_zk_round.round_size >>= 1;
189 update_round_state(round_idx, u);
190 }
191
192 // Capture RDP scalar after all real rounds for use in virtual rounds.
193 // rdp_scalar = RDP(u_0,...,u_{d-1}) = 1 - u_2*...*u_{d-1}.
194 const FF rdp_scalar = FF(1) - rdp.eval_at_1;
195
196 // Send MegaZK circuit evaluations immediately after the real rounds.
197 // These are P_j(u_0,...,u_{d-1}) — the natural d-variable evaluations without the tau factor.
198 // The verifier will extend them by zero (multiply by τ = ∏(1-u_k)) after drawing virtual-round challenges.
199 // This eliminates any prover freedom in the zero-padded region: the extension is verifier-determined.
200 for (auto [eval, poly] : zip_view(mega_zk_claimed_evals.get_all(), mega_zk_partial.get_all())) {
201 eval = poly[0];
202 }
203 transcript->send_to_verifier("Sumcheck:evaluations", mega_zk_claimed_evals.get_all());
204
205 // ==================== Virtual rounds mega_zk_log_n..JOINT_LOG_N-1 ====================
206 // The MegaZK polynomials are zero-padded beyond 2^mega_zk_log_n. The virtual contribution
207 // is compute_virtual_contribution * rdp_scalar. The polynomial values are updated by
208 // (1-u_k) after each round for the virtual contribution computation.
209 for (size_t round_idx = mega_zk_log_n; round_idx < JOINT_LOG_N; round_idx++) {
211
212 auto U_H = mega_zk_round.compute_virtual_contribution(
213 mega_zk_partial, mega_zk_params, mega_zk_gate_sep, mega_zk_alphas);
214 U_H *= rdp_scalar;
215 U_joint += U_H;
216
217 auto U_T = translator_round.compute_univariate(
218 translator_partial, translator_relation_parameters, translator_gate_sep, translator_alphas);
219 for (auto& eval : U_T.evaluations) {
220 eval *= alpha_power_KH;
221 }
222 U_joint += U_T;
223
224 const FF u = send_round(round_idx);
225
226 // Virtual: poly values *= (1 - u_k) for the next virtual contribution computation.
227 for (auto& poly : mega_zk_partial.get_all()) {
228 if (poly.end_index() > 0) {
229 poly.at(0) *= (FF(1) - u);
230 }
231 }
232 TransSumcheck::partially_evaluate_in_place(translator_partial, u);
233 update_round_state(round_idx, u);
234 }
235
236 // Extract and send translator evaluations after all rounds.
237 for (auto [eval, poly] : zip_view(trans_claimed_evals.get_all(), translator_partial.get_all())) {
238 eval = poly[0];
239 }
240 transcript->send_to_verifier("Sumcheck:evaluations_translator",
242
243 // Compute and send the claimed Libra evaluation.
245 for (const auto& libra_eval : zk_sumcheck_data.libra_evaluations) {
246 claimed_libra_evaluation += libra_eval;
247 }
248 transcript->send_to_verifier("Libra:claimed_evaluation", claimed_libra_evaluation);
249}
250
260{
262 using PolynomialBatcher = GeminiProver_<Curve>::PolynomialBatcher;
263 using SmallSubgroupIPA = SmallSubgroupIPAProver<MegaZKFlavor>;
264
265 // Use the translator's commitment key (sized to 2^17 = joint_circuit_size) for all PCS work.
266 // The translator key is initialised by TranslatorProver in execute_translator_oink().
267 auto& ck = translator_key->proving_key->commitment_key;
268
269 // Prove the small-subgroup IPA opening for the joint Libra polynomial.
270 SmallSubgroupIPA small_subgroup_ipa(zk_sumcheck_data, joint_challenge, claimed_libra_evaluation, transcript, ck);
271 small_subgroup_ipa.prove();
272
273 // Build joint PolynomialBatcher at joint_circuit_size = 2^17.
274 // max_end_index covers hiding (2^16) and translator (2^17) polynomials; use the larger.
275 const size_t joint_circuit_size = static_cast<size_t>(1) << JOINT_LOG_N;
276 const size_t mega_zk_max_end = mega_zk_inst->polynomials.max_end_index();
277 const size_t trans_max_end = translator_key->proving_key->circuit_size; // translator polys fill 2^17
278 const size_t max_end_index = std::max(mega_zk_max_end, trans_max_end);
279
280 PolynomialBatcher polynomial_batcher(joint_circuit_size, max_end_index);
281
282 // Combine unshifted polynomials from both circuits.
283 auto mega_zk_unshifted = mega_zk_inst->polynomials.get_unshifted();
284 auto trans_unshifted = translator_key->proving_key->polynomials.get_pcs_unshifted();
285 auto joint_unshifted = concatenate(mega_zk_unshifted, trans_unshifted);
286 polynomial_batcher.set_unshifted(joint_unshifted);
287
288 // Combine shifted polynomials from both circuits.
289 auto mega_zk_shifted = mega_zk_inst->polynomials.get_to_be_shifted();
290 auto trans_shifted = translator_key->proving_key->polynomials.get_pcs_to_be_shifted();
291 auto joint_shifted = concatenate(mega_zk_shifted, trans_shifted);
292 polynomial_batcher.set_to_be_shifted_by_one(joint_shifted);
293
294 const OpeningClaim prover_opening_claim =
295 ShpleminiProver_<Curve>::prove(joint_circuit_size,
296 polynomial_batcher,
298 ck,
300 small_subgroup_ipa.get_witness_polynomials());
301
303}
304
310
319
320} // namespace bb
#define BB_ASSERT(expression,...)
Definition assert.hpp:70
std::shared_ptr< MegaZKProverInstance > mega_zk_inst
BatchedHonkTranslatorProver(std::shared_ptr< MegaZKProverInstance > mega_zk_instance, std::shared_ptr< MegaZKVK > mega_zk_vk, std::shared_ptr< Transcript > transcript)
std::shared_ptr< TranslatorProvingKey > translator_key
void execute_joint_sumcheck_rounds()
Execute the joint 17-round sumcheck.
bb::RelationParameters< FF > translator_relation_parameters
void execute_joint_pcs()
Execute the joint Shplemini / KZG PCS over both circuits' polynomials.
std::array< FF, MegaZKFlavor::NUM_SUBRELATIONS - 1 > MegaZKSubrelationSeparators
HonkProof prove(std::shared_ptr< TranslatorProvingKey > translator_proving_key)
std::array< FF, TranslatorFlavor::NUM_SUBRELATIONS - 1 > TransSubrelationSeparators
void execute_mega_zk_oink()
Run the MegaZK circuit's Oink phase.
void execute_translator_oink()
Run the translator's Oink phase on the shared transcript.
CommitmentKey object over a pairing group 𝔾₁.
Class responsible for computation of the batched multilinear polynomials required by the Gemini proto...
Definition gemini.hpp:125
static void compute_opening_proof(const CK &ck, const ProverOpeningClaim< Curve > &opening_claim, const std::shared_ptr< Transcript > &prover_trancript)
Computes the KZG commitment to an opening proof polynomial at a single evaluation point.
Definition kzg.hpp:42
static constexpr size_t NUM_SUBRELATIONS
Executes the "Oink" phase of the Honk proving protocol: the initial rounds that commit to witness dat...
void prove(bool emit_alpha=true)
Commit to witnesses, compute relation parameters, and prepare for Sumcheck.
Unverified claim (C,r,v) for some witness polynomial p(X) such that.
Definition claim.hpp:55
A container for storing the partially evaluated multivariates produced by sumcheck.
Polynomial p and an opening pair (r,v) such that p(r) = v.
Definition claim.hpp:36
static OpeningClaim prove(size_t circuit_size, PolynomialBatcher &polynomial_batcher, std::span< FF > multilinear_challenge, const CommitmentKey< Curve > &commitment_key, const std::shared_ptr< Transcript > &transcript, const std::array< Polynomial, NUM_SMALL_IPA_EVALUATIONS > &libra_polynomials={}, const std::vector< Polynomial > &sumcheck_round_univariates={}, const std::vector< std::array< FF, 3 > > &sumcheck_round_evaluations={})
Definition shplemini.hpp:36
A Curve-agnostic ZK protocol to prove inner products of small vectors.
Flavor::CommitmentKey commitment_key
The implementation of the sumcheck Prover for statements of the form for multilinear polynomials .
Definition sumcheck.hpp:298
Imlementation of the Sumcheck prover round.
SumcheckRoundUnivariate compute_virtual_contribution(ProverPolynomialsOrPartiallyEvaluatedMultivariates &polynomials, const bb::RelationParameters< FF > &relation_parameters, const GateSeparatorPolynomial< FF > &gate_separator, const SubrelationSeparators &alphas)
SumcheckRoundUnivariate compute_disabled_contribution(ProverPolynomialsOrPartiallyEvaluatedMultivariates &polynomials, const bb::RelationParameters< FF > &relation_parameters, const bb::GateSeparatorPolynomial< FF > &gate_separators, const SubrelationSeparators &alphas, const size_t round_idx, const RowDisablingPolynomial< FF > row_disabling_polynomial)
For ZK Flavors: A method disabling the last 4 rows of the ProverPolynomials.
SumcheckRoundUnivariate compute_univariate(ProverPolynomialsOrPartiallyEvaluatedMultivariates &polynomials, const bb::RelationParameters< FF > &relation_parameters, const bb::GateSeparatorPolynomial< FF > &gate_separators, const SubrelationSeparators &alphas)
Return the evaluations of the univariate round polynomials. Toggles between chunked computation (desi...
static SumcheckRoundUnivariate compute_libra_univariate(const ZKData &zk_sumcheck_data, size_t round_idx)
Compute Libra round univariate expressed given by the formula.
size_t round_size
In Round , equals .
static std::array< FFType, NUM_FULL_CIRCUIT_EVALUATIONS > get_full_circuit_evaluations(AllEntities< FFType > &evals)
Prover: extract the full-circuit evaluations via get_full_circuit_entities().
static constexpr size_t LOG_MINI_CIRCUIT_SIZE
static constexpr size_t NUM_SUBRELATIONS
static std::array< FF, NUM_MINICIRCUIT_EVALUATIONS > get_minicircuit_evaluations(PolyContainer &polys)
Prover: read the 154 minicircuit wire evaluations from partially-evaluated polynomials.
BB_PROFILE void execute_preamble_round()
Add circuit size and values used in the relations to the transcript.
BB_PROFILE void execute_grand_product_computation_round()
Compute permutation product polynomial and commitments.
bb::RelationParameters< FF > relation_parameters
BB_PROFILE void execute_wire_and_sorted_constraints_commitments_round()
Compute commitments to wires and ordered range constraints.
A univariate polynomial represented by its values on {0, 1,..., domain_end - 1}.
static Univariate zero()
static constexpr size_t SUBGROUP_SIZE
Definition bn254.hpp:34
constexpr T get_msb(const T in)
Definition get_msb.hpp:49
Entry point for Barretenberg command-line interface.
Definition api.hpp:5
std::vector< fr > HonkProof
Definition proof.hpp:15
RefArray< T,(Ns+...)> constexpr concatenate(const RefArray< T, Ns > &... ref_arrays)
Concatenates multiple RefArray objects into a single RefArray.
CommitmentKey< Curve > ck
std::array< FF, N > initialize_relation_separator(const FF &alpha)
Definition sumcheck.hpp:890
STL namespace.
constexpr decltype(auto) get(::tuplet::tuple< T... > &&t) noexcept
Definition tuple.hpp:13
std::string to_string(bb::avm2::ValueTag tag)
Implementation of the methods for the -polynomials used in in Sumcheck.
void partially_evaluate(FF challenge)
Partially evaluate the -polynomial at the new challenge and update .
Polynomial for Sumcheck with disabled Rows.
void update_evaluations(FF round_challenge, size_t round_idx)
Compute the evaluations of L^{(i)} at 0 and 1.
ClaimedLibraEvaluations libra_evaluations
void update_zk_sumcheck_data(const FF &round_challenge, const size_t round_idx)
Upon receiving the challenge , the prover updates Libra data. If .