research/mimc_stark/test.py

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2018-07-10 12:49:25 +00:00
from fft import fft
from mimc_stark import mk_mimc_proof, modulus, mimc, verify_mimc_proof
from compression import compress_fri, compress_branches, bin_length
from merkle_tree import merkelize, mk_branch, verify_branch
from fri import prove_low_degree, verify_low_degree_proof
def test_merkletree():
t = merkelize(range(128))
b = mk_branch(t, 59)
assert verify_branch(t[1], 59, b) == 59
print('Merkle tree works')
def test_fri():
# Pure FRI tests
poly = list(range(512))
root_of_unity = pow(7, (modulus-1)//1024, modulus)
evaluations = fft(poly, modulus, root_of_unity)
proof = prove_low_degree(poly, root_of_unity, evaluations, 512, modulus)
print("Approx proof length: %d" % bin_length(compress_fri(proof)))
assert verify_low_degree_proof(merkelize(evaluations)[1], root_of_unity, proof, 512, modulus)
def test_stark():
INPUT = 3
LOGSTEPS = 13
LOGPRECISION = 16
# Full STARK test
proof = mk_mimc_proof(INPUT, LOGSTEPS, LOGPRECISION)
p_root, d_root, k_root, b_root, l_root, branches, fri_proof = proof
L1 = bin_length(compress_branches(branches))
L2 = bin_length(compress_fri(fri_proof))
print("Approx proof length: %d (branches), %d (FRI proof), %d (total)" % (L1, L2, L1 + L2))
root_of_unity = pow(7, (modulus-1)//2**LOGPRECISION, modulus)
subroot = pow(7, (modulus-1)//2**LOGSTEPS, modulus)
skips = 2**(LOGPRECISION - LOGSTEPS)
assert verify_mimc_proof(3, LOGSTEPS, LOGPRECISION, mimc(3, LOGSTEPS, LOGPRECISION), proof)