diff --git a/scripts/circuit_sk.py b/scripts/circuit_sk.py index 859b7e1..6fd9a9c 100644 --- a/scripts/circuit_sk.py +++ b/scripts/circuit_sk.py @@ -144,7 +144,6 @@ def main(args): # initiate counters for the number of advice cells needed for each constraint phase phase_0_assignment_advice_cell_count = 0 - phase_1_assignment_advice_cell_count = 0 phase_1_range_check_advice_cell_count = 0 phase_1_eval_at_gamma_constraint_advice_cell_count = 0 phase_1_encryption_constraint_advice_cell_count = 0 @@ -164,6 +163,8 @@ def main(args): r1is_assigned = [] r2is_assigned = [] + ais_assigned = [] + ct0is_assigned = [] for i in range(len(ctis)): r1i_assigned = assign_to_circuit(r1is[i], p) @@ -174,42 +175,45 @@ def main(args): phase_0_assignment_advice_cell_count += len(r1i_assigned.coefficients) phase_0_assignment_advice_cell_count += len(r2i_assigned.coefficients) + ai_assigned = assign_to_circuit(ais[i], p) + ct0i_assigned = assign_to_circuit(ct0is[i], p) + ais_assigned.append(ai_assigned) + ct0is_assigned.append(ct0i_assigned) + + phase_0_assignment_advice_cell_count += len(ai_assigned.coefficients) + phase_0_assignment_advice_cell_count += len(ct0i_assigned.coefficients) + # For the sake of simplicity, we generate a random challenge here gamma = randint(0, 1000) ''' - CIRCUIT - PHASE 1 - ASSIGNMENT + CIRCUIT - PHASE 1 ''' # Every assigned value must be an element of the field Zp. Negative coefficients `-z` are assigned as `p - z` - ais_at_gamma_assigned = [] - ct0is_at_gamma_assigned = [] + # ais_at_gamma_assigned = [] + # ct0is_at_gamma_assigned = [] qi_constants = [] k0i_constants = [] for i in range(len(ctis)): - ai_at_gamma = ais[i].evaluate(gamma) - ai_at_gamma_assigned = assign_to_circuit(Polynomial([ai_at_gamma]), p).coefficients[0] - ais_at_gamma_assigned.append(ai_at_gamma_assigned) + # ai_at_gamma = ais[i].evaluate(gamma) + # ai_at_gamma_assigned = assign_to_circuit(Polynomial([ai_at_gamma]), p).coefficients[0] + # ais_at_gamma_assigned.append(ai_at_gamma_assigned) - phase_1_assignment_advice_cell_count += 1 + # phase_1_assignment_advice_cell_count += 1 - ct0i_at_gamma = ctis[i][0].evaluate(gamma) - ct0i_at_gamma_assigned = assign_to_circuit(Polynomial([ct0i_at_gamma]), p).coefficients[0] - ct0is_at_gamma_assigned.append(ct0i_at_gamma_assigned) + # ct0i_at_gamma = ctis[i][0].evaluate(gamma) + # ct0i_at_gamma_assigned = assign_to_circuit(Polynomial([ct0i_at_gamma]), p).coefficients[0] + # ct0is_at_gamma_assigned.append(ct0i_at_gamma_assigned) - phase_1_assignment_advice_cell_count += 1 + # phase_1_assignment_advice_cell_count += 1 qi_constants.append(qis[i]) k0i_constant = assign_to_circuit(Polynomial([k0is[i]]), p).coefficients[0] k0i_constants.append(k0i_constant) - cyclo_at_gamma = cyclo.evaluate(gamma) - cyclo_at_gamma_assigned = assign_to_circuit(Polynomial([cyclo_at_gamma]), p).coefficients[0] - - phase_1_assignment_advice_cell_count += 1 - ''' CIRCUIT - PHASE 1 - RANGE CHECK ''' @@ -258,6 +262,16 @@ def main(args): k1_at_gamma_assigned = k1_assigned.evaluate(gamma) phase_1_eval_at_gamma_constraint_advice_cell_count += len(k1_assigned.coefficients) * 2 - 1 + cyclo_at_gamma = cyclo.evaluate(gamma) + cyclo_at_gamma_assigned = assign_to_circuit(Polynomial([cyclo_at_gamma]), p).coefficients[0] + n_bits_N = n.bit_length() + + # This corresponds to `load_rlc_cache` + phase_1_eval_at_gamma_constraint_advice_cell_count += (n_bits_N - 1) * 4 + # This corresponds to `add` + phase_1_eval_at_gamma_constraint_advice_cell_count += 4 + + for i in range(len(ctis)): # sanity check. The coefficients of ct0i should be in the range [-(qi-1)/2, (qi-1)/2] bound = int((qis[i] - 1) / 2) @@ -337,12 +351,15 @@ def main(args): phase_1_eval_at_gamma_constraint_advice_cell_count += len(r1is_assigned[i].coefficients) * 2 - 1 phase_1_eval_at_gamma_constraint_advice_cell_count += len(r2is_assigned[i].coefficients) * 2 - 1 + ai_gamma_assigned = ais_assigned[i].evaluate(gamma) + ct0i_gamma_assigned = ct0is_assigned[i].evaluate(gamma) + ''' CIRCUIT - PHASE 1 - CORRECT ENCRYPTION CONSTRAINT ''' - lhs = ct0is_at_gamma_assigned[i] - rhs = (ais_at_gamma_assigned[i] * s_at_gamma_assigned + e_at_gamma_assigned + (k1_at_gamma_assigned * k0i_constants[i]) + (r1i_gamma_assigned * qi_constants[i]) + (r2i_gamma_assigned * cyclo_at_gamma_assigned)) + lhs = ct0i_gamma_assigned + rhs = (ai_gamma_assigned * s_at_gamma_assigned + e_at_gamma_assigned + (k1_at_gamma_assigned * k0i_constants[i]) + (r1i_gamma_assigned * qi_constants[i]) + (r2i_gamma_assigned * cyclo_at_gamma_assigned)) phase_1_encryption_constraint_advice_cell_count += 16 assert lhs % p == rhs % p @@ -355,22 +372,20 @@ def main(args): cyclo_at_gamma_assigned_expected = assign_to_circuit(Polynomial([cyclo_at_gamma]), p).coefficients[0] assert cyclo_at_gamma_assigned == cyclo_at_gamma_assigned_expected - ai_gamma = ais[i].evaluate(gamma) - ai_gamma_assigned_expected = assign_to_circuit(Polynomial([ai_gamma]), p).coefficients[0] - assert ais_at_gamma_assigned[i] == ai_gamma_assigned_expected + ai_gamma_assigned_expected = ais_assigned[i].evaluate(gamma) + assert ai_gamma_assigned == ai_gamma_assigned_expected - ct0i_gamma = ctis[i][0].evaluate(gamma) - ct0i_gamma_assigned_expected = assign_to_circuit(Polynomial([ct0i_gamma]), p).coefficients[0] - assert ct0is_at_gamma_assigned[i] == ct0i_gamma_assigned_expected + ct0i_gamma_assigned_expected = ct0is_assigned[i].evaluate(gamma) + assert ct0i_gamma_assigned == ct0i_gamma_assigned_expected assert qis[i] == qi_constants[i] k0i_assigned_expected = assign_to_circuit(Polynomial([k0is[i]]), p).coefficients[0] assert k0i_constants[i] == k0i_assigned_expected - total_advice_cell_count = phase_0_assignment_advice_cell_count + phase_1_assignment_advice_cell_count + phase_1_range_check_advice_cell_count + phase_1_eval_at_gamma_constraint_advice_cell_count + phase_1_encryption_constraint_advice_cell_count + total_advice_cell_count = phase_0_assignment_advice_cell_count + phase_1_range_check_advice_cell_count + phase_1_eval_at_gamma_constraint_advice_cell_count + phase_1_encryption_constraint_advice_cell_count - print_advice_cells_info(total_advice_cell_count, phase_0_assignment_advice_cell_count, phase_1_assignment_advice_cell_count, phase_1_range_check_advice_cell_count, phase_1_eval_at_gamma_constraint_advice_cell_count, phase_1_encryption_constraint_advice_cell_count) + print_advice_cells_info(total_advice_cell_count, phase_0_assignment_advice_cell_count, phase_1_range_check_advice_cell_count, phase_1_eval_at_gamma_constraint_advice_cell_count, phase_1_encryption_constraint_advice_cell_count) # ais and ct0is need to be parsed such that their coefficients are in the range [0, p - 1] # we don't call them assigned because they are never assigned to the circuit ais_in_p = [assign_to_circuit(ai, p) for ai in ais] diff --git a/scripts/utils.py b/scripts/utils.py index bd6226e..c73b492 100644 --- a/scripts/utils.py +++ b/scripts/utils.py @@ -55,16 +55,13 @@ def count_advice_cells_needed_for_poly_range_check(poly: Polynomial, bound: int, return count -def print_advice_cells_info(total_advice_cell_count, phase_0_count, phase_1_assignment_count, phase_1_range_check_count, phase_1_eval_at_gamma_count, phase_1_encryption_constraint_count): +def print_advice_cells_info(total_advice_cell_count, phase_0_count, phase_1_range_check_count, phase_1_eval_at_gamma_count, phase_1_encryption_constraint_count): print("Halo2 Circuit Profile:") print(f"Total Advice Cells Needed: {total_advice_cell_count}") print("\nPhase 0 - Assignment:") print(f" - Count: {phase_0_count}, Percentage: {(phase_0_count / total_advice_cell_count) * 100:.2f}%") - print("\nPhase 1 - Assignment:") - print(f" - Count: {phase_1_assignment_count}, Percentage: {(phase_1_assignment_count / total_advice_cell_count) * 100:.2f}%") - print("\nPhase 1 - Range Check:") print(f" - Count: {phase_1_range_check_count}, Percentage: {(phase_1_range_check_count / total_advice_cell_count) * 100:.2f}%") diff --git a/src/data/sk_enc_4096_2x55_65537.json b/src/data/sk_enc_4096_2x55_65537.json index 98d1da8..89d2a53 100644 --- a/src/data/sk_enc_4096_2x55_65537.json +++ b/src/data/sk_enc_4096_2x55_65537.json @@ -1 +1 @@ -{"s": ["1", "21888242871839275222246405745257275088548364400416034343698204186575808495616", "0", "1", "21888242871839275222246405745257275088548364400416034343698204186575808495616", "1", "1", "21888242871839275222246405745257275088548364400416034343698204186575808495616", "1", "1", "1", 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b/src/sk_encryption_circuit.rs index 6f31046..c8ebddf 100644 --- a/src/sk_encryption_circuit.rs +++ b/src/sk_encryption_circuit.rs @@ -69,7 +69,7 @@ impl RlcCircuitInstructions for BfvSkEncryptionCircuit { /// In this phase, the polynomials for each matrix $S_i$ are assigned to the circuit. Namely: /// * polynomials `s`, `e`, `k1` are assigned to the witness table. This has to be done only once as these polynomial are common to each $S_i$ matrix /// * polynomials `r1i`, `r2i` are assigned to the witness table for each $S_i$ matrix - /// * polynomials `ai`, `ct0i` are assigned to the witness table for each $S_i$ matrix + /// * polynomials `ai`, `ct0i` are assigned to the witness table for each $S_i$ matrix and exposed as public inputs /// Witness values are element of the finite field $\mod{p}$. Negative coefficients $-z$ are assigned as field elements $p - z$. @@ -145,14 +145,6 @@ impl RlcCircuitInstructions for BfvSkEncryptionCircuit { /// - The coefficients of $S_i$ are in the expected range. /// - $U_i(\gamma) \times S_i(\gamma) =Ct_{0,i}(\gamma)$ - /// ##### Assignment - /// * Assign evaluations to the circuit: `ai(gamma)`, `ct0i(gamma)` for each $U_i$ matrix - /// * Assign `cyclo(gamma)` to the circuit. This has to be done only once as the cyclotomic polynomial is common to each $U_i$ matrix - /// * Expose `ai(gamma)`, `ct0i(gamma)` for each $U_i$ matrix - /// * Expose `cyclo(gamma)` as public input - - /// Since the polynomials `cyclo`, `ai` and `ct0i` are known to the verifier, the evaluation at $\gamma$ doesn't need to be constrained inside the circuit. Instead, this can be safely be performed (and verified) outside the circuit. - /// ##### Range Check /// The coefficients of the private polynomials from each $i$-th matrix $S_i$ are checked to be in the correct range @@ -163,10 +155,10 @@ impl RlcCircuitInstructions for BfvSkEncryptionCircuit { /// ##### Evaluation at $\gamma$ Constraint - /// Contrary to the polynomials `cyclo`, `ai` and `ct0i`, the polynomials belonging to each $S_i$ matrix are not known by the verifier. Therefore, their evaluation at $\gamma$ must be constrained inside the circuit. - /// * Constrain the evaluation of the polynomials `s`, `e`, `k1` at $\gamma$. This has to be done only once as these polynomial are common to each $S_i$ matrix /// * Constrain the evaluation of the polynomials `r1i`, `r2i` at $\gamma$ for each $S_i$ matrix + /// * Constrain the evaluation of the polynomials `ai` and `ct0i` at $\gamma$ for each $U_i$ matrix + /// * Constrain the evaluation of the polynomials `cyclo` at $\gamma$ . This has to be done only once as the cyclotomic polynomial is common to each $U_i$ matrix /// ##### Correct Encryption Constraint @@ -204,12 +196,6 @@ impl RlcCircuitInstructions for BfvSkEncryptionCircuit { k0i_constants.push(k0i_constant); } - let bits_used = usize::BITS as usize - N.leading_zeros() as usize; - rlc.load_rlc_cache((ctx_gate, ctx_rlc), gate, bits_used); - let cyclo_at_gamma_assigned = rlc.rlc_pow_fixed(ctx_gate, gate, N); - let cyclo_at_gamma_assigned = - gate.add(ctx_gate, cyclo_at_gamma_assigned, Constant(F::from(1))); - s_assigned.range_check(ctx_gate, range, S_BOUND); e_assigned.range_check(ctx_gate, range, E_BOUND); k1_assigned.range_check(ctx_gate, range, K1_BOUND); @@ -221,6 +207,12 @@ impl RlcCircuitInstructions for BfvSkEncryptionCircuit { // EVALUATION AT GAMMA CONSTRAINT + let bits_used = usize::BITS as usize - N.leading_zeros() as usize; + rlc.load_rlc_cache((ctx_gate, ctx_rlc), gate, bits_used); + let cyclo_at_gamma_assigned = rlc.rlc_pow_fixed(ctx_gate, gate, N); + let cyclo_at_gamma_assigned = + gate.add(ctx_gate, cyclo_at_gamma_assigned, Constant(F::from(1))); + let s_at_gamma = s_assigned.enforce_eval_at_gamma(ctx_rlc, rlc); let e_at_gamma = e_assigned.enforce_eval_at_gamma(ctx_rlc, rlc); let k1_at_gamma = k1_assigned.enforce_eval_at_gamma(ctx_rlc, rlc);