import ckzg import kzg_proofs import random from py_ecc import optimized_bls12_381 as b from py_ecc.bls.point_compression import compress_G1, decompress_G1, decompress_G2 polynomial = [random.randint(0, kzg_proofs.MODULUS) for i in range(4096)] n = len(polynomial) x = 9283547894352 y = kzg_proofs.eval_poly_at(polynomial, x) root_of_unity = kzg_proofs.get_root_of_unity(n) roots_of_unity = [pow(root_of_unity, i, kzg_proofs.MODULUS) for i in range(n)] polynomial_l = [kzg_proofs.eval_poly_at(polynomial, w) for w in roots_of_unity] def evaluate_polynomial_in_evaluation_form(polynomial, z, roots_of_unity): width = len(polynomial) inverse_width =kzg_proofs.inv(width) # Make sure we won't divide by zero during division assert z not in roots_of_unity result = 0 for i in range(width): result += kzg_proofs.div(polynomial[i] * roots_of_unity[i], (z - roots_of_unity[i])) result = result * (pow(z, width, kzg_proofs.MODULUS) - 1) * inverse_width % kzg_proofs.MODULUS return result y2 = evaluate_polynomial_in_evaluation_form(polynomial_l, x, roots_of_unity) assert y == y2 polynomial_l_rbo = kzg_proofs.list_to_reverse_bit_order(polynomial_l) roots_of_unity_rbo = kzg_proofs.list_to_reverse_bit_order(roots_of_unity) y3 = evaluate_polynomial_in_evaluation_form(polynomial_l_rbo, x, roots_of_unity_rbo) assert y == y3 ts = ckzg.load_trusted_setup("../../src/trusted_setup.txt") ckzg_poly = ckzg.alloc_polynomial([ckzg.bytes_to_bls_field(r.to_bytes(32, "little")) for r in polynomial_l_rbo]) ckzg_y4 = ckzg.evaluate_polynomial_in_evaluation_form(ckzg_poly, ckzg.bytes_to_bls_field(x.to_bytes(32, "little")), ts) y4 = ckzg.int_from_bls_field(ckzg_y4) assert y == y4 def load_trusted_setup(filename): with open(filename, "r") as f: g1_length = int(f.readline()) g2_length = int(f.readline()) g1_setup = [] g2_setup = [] for i in range(g1_length): g1_setup.append(decompress_G1(int(f.readline(), 16))) #for i in range(g2_length): # l = f.readline() # g2_setup.append(decompress_G2((int(l[:48], 16), int(l[48:], 16)))) return [g1_setup, g2_setup] ts_pyecc = load_trusted_setup("../../src/trusted_setup.txt") commitment_pyecc = kzg_proofs.commit_to_poly(polynomial, ts_pyecc) commitment_ckzg = ckzg.blob_to_kzg_commitment([ckzg.bytes_to_bls_field(r.to_bytes(32, "little")) for r in polynomial_l_rbo], ts) assert compress_G1(commitment_pyecc).to_bytes(48, "big") == ckzg.bytes_from_g1(commitment_ckzg) proof_pyecc = kzg_proofs.compute_proof_single(polynomial, x, ts_pyecc) proof_ckzg = ckzg.compute_kzg_proof(ckzg_poly, ckzg.bytes_to_bls_field(x.to_bytes(32, "little")), ts) assert compress_G1(proof_pyecc).to_bytes(48, "big") == ckzg.bytes_from_g1(proof_ckzg) print('comparison to py_ecc passed')