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#!/usr/bin/env python
import unittest
from collections import namedtuple
import hashlib
import math
from ct.crypto import error
from ct.crypto import merkle
class TreeHasherTest(unittest.TestCase):
sha256_empty_hash = ("e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495"
"991b7852b855")
sha256_leaves = [
("",
"6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d"),
("101112131415161718191a1b1c1d1e1f",
"3bfb960453ebaebf33727da7a1f4db38acc051d381b6da20d6d4e88f0eabfd7a")
]
sha256_nodes = [
("000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f",
"202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f",
"1a378704c17da31e2d05b6d121c2bb2c7d76f6ee6fa8f983e596c2d034963c57")]
# array of bytestrings of the following literals in hex
test_vector_leaves = ["".join(chr(int(n, 16)) for n in s.split()) for s in [
"",
"00",
"10",
"20 21",
"30 31",
"40 41 42 43",
"50 51 52 53 54 55 56 57",
"60 61 62 63 64 65 66 67 68 69 6a 6b 6c 6d 6e 6f",
]]
test_vector_hashes = [
"6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d",
"fac54203e7cc696cf0dfcb42c92a1d9dbaf70ad9e621f4bd8d98662f00e3c125",
"aeb6bcfe274b70a14fb067a5e5578264db0fa9b51af5e0ba159158f329e06e77",
"d37ee418976dd95753c1c73862b9398fa2a2cf9b4ff0fdfe8b30cd95209614b7",
"4e3bbb1f7b478dcfe71fb631631519a3bca12c9aefca1612bfce4c13a86264d4",
"76e67dadbcdf1e10e1b74ddc608abd2f98dfb16fbce75277b5232a127f2087ef",
"ddb89be403809e325750d3d263cd78929c2942b7942a34b77e122c9594a74c8c",
"5dc9da79a70659a9ad559cb701ded9a2ab9d823aad2f4960cfe370eff4604328",
]
def test_empty_hash(self):
hasher = merkle.TreeHasher()
self.assertEqual(hasher.hash_empty().encode("hex"),
TreeHasherTest.sha256_empty_hash)
def test_hash_leaves(self):
hasher = merkle.TreeHasher()
for leaf, val in TreeHasherTest.sha256_leaves:
self.assertEqual(hasher.hash_leaf(leaf.decode("hex")).encode("hex"),
val)
def test_hash_children(self):
hasher = merkle.TreeHasher()
for left, right, val in TreeHasherTest.sha256_nodes:
self.assertEqual(hasher.hash_children(
left.decode("hex"), right.decode("hex")).encode("hex"), val)
def test_hash_full_invalid_index(self):
hasher = merkle.TreeHasher()
self.assertRaises(IndexError, hasher._hash_full, "abcd", -5, -1)
self.assertRaises(IndexError, hasher._hash_full, "abcd", -1, 1)
self.assertRaises(IndexError, hasher._hash_full, "abcd", 1, 5)
self.assertRaises(IndexError, hasher._hash_full, "abcd", 2, 1)
def test_hash_full_empty(self):
hasher = merkle.TreeHasher()
for i in xrange(0, 5):
self.assertEqual(hasher._hash_full("abcd", i, i)[0].encode("hex"),
TreeHasherTest.sha256_empty_hash)
def test_hash_full_tree(self):
hasher = merkle.TreeHasher()
self.assertEqual(hasher.hash_full_tree([]), hasher.hash_empty())
l = iter(hasher.hash_leaf(c) for c in "abcde").next
h = hasher.hash_children
root_hash = h(h(h(l(), l()), h(l(), l())), l())
self.assertEqual(hasher.hash_full_tree("abcde"), root_hash)
def test_hash_full_tree_test_vector(self):
hasher = merkle.TreeHasher()
for i in xrange(len(TreeHasherTest.test_vector_leaves)):
test_vector = TreeHasherTest.test_vector_leaves[:i+1]
expected_hash = TreeHasherTest.test_vector_hashes[i].decode("hex")
self.assertEqual(hasher.hash_full_tree(test_vector), expected_hash)
class HexTreeHasher(merkle.TreeHasher):
def __init__(self, hashfunc=hashlib.sha256):
self.hasher = merkle.TreeHasher(hashfunc)
def hash_empty(self):
return self.hasher.hash_empty().encode("hex")
def hash_leaf(self, data):
return self.hasher.hash_leaf(data.decode("hex")).encode("hex")
def hash_children(self, left, right):
return self.hasher.hash_children(left.decode("hex"),
right.decode("hex")).encode("hex")
class CompactMerkleTreeTest(unittest.TestCase):
def setUp(self):
self.tree = merkle.CompactMerkleTree(HexTreeHasher())
def test_extend_from_empty(self):
for i in xrange(len(TreeHasherTest.test_vector_leaves)):
test_vector = TreeHasherTest.test_vector_leaves[:i+1]
expected_hash = TreeHasherTest.test_vector_hashes[i]
self.tree = merkle.CompactMerkleTree()
self.tree.extend(test_vector)
self.assertEqual(self.tree.root_hash().encode("hex"), expected_hash)
def test_push_subtree_1(self):
for i in xrange(len(TreeHasherTest.test_vector_leaves)):
test_vector = TreeHasherTest.test_vector_leaves[:i+1]
self.tree = merkle.CompactMerkleTree()
self.tree.extend(test_vector)
self.tree._push_subtree(["test leaf"])
self.assertEqual(len(self.tree), len(test_vector) + 1)
def test_extend_from_partial(self):
z = len(TreeHasherTest.test_vector_leaves)
for i in xrange(z):
self.tree = merkle.CompactMerkleTree()
# add up to i
test_vector = TreeHasherTest.test_vector_leaves[:i+1]
expected_hash = TreeHasherTest.test_vector_hashes[i]
self.tree.extend(test_vector)
self.assertEqual(self.tree.root_hash().encode("hex"), expected_hash)
# add up to z
test_vector = TreeHasherTest.test_vector_leaves[i+1:]
expected_hash = TreeHasherTest.test_vector_hashes[z-1]
self.tree.extend(test_vector)
self.assertEqual(self.tree.root_hash().encode("hex"), expected_hash)
class MerkleVerifierTest(unittest.TestCase):
# (old_tree_size, new_tree_size, old_root, new_root, proof)
# Test vectors lifted from the C++ branch.
sha256_proofs = [
(1, 1,
"6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d",
"6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d",
[]),
(1, 8,
"6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d",
"5dc9da79a70659a9ad559cb701ded9a2ab9d823aad2f4960cfe370eff4604328",
["96a296d224f285c67bee93c30f8a309157f0daa35dc5b87e410b78630a09cfc7",
"5f083f0a1a33ca076a95279832580db3e0ef4584bdff1f54c8a360f50de3031e",
"6b47aaf29ee3c2af9af889bc1fb9254dabd31177f16232dd6aab035ca39bf6e4"]),
(6, 8,
"76e67dadbcdf1e10e1b74ddc608abd2f98dfb16fbce75277b5232a127f2087ef",
"5dc9da79a70659a9ad559cb701ded9a2ab9d823aad2f4960cfe370eff4604328",
["0ebc5d3437fbe2db158b9f126a1d118e308181031d0a949f8dededebc558ef6a",
"ca854ea128ed050b41b35ffc1b87b8eb2bde461e9e3b5596ece6b9d5975a0ae0",
"d37ee418976dd95753c1c73862b9398fa2a2cf9b4ff0fdfe8b30cd95209614b7"]),
(2, 5,
"fac54203e7cc696cf0dfcb42c92a1d9dbaf70ad9e621f4bd8d98662f00e3c125",
"4e3bbb1f7b478dcfe71fb631631519a3bca12c9aefca1612bfce4c13a86264d4",
["5f083f0a1a33ca076a95279832580db3e0ef4584bdff1f54c8a360f50de3031e",
"bc1a0643b12e4d2d7c77918f44e0f4f79a838b6cf9ec5b5c283e1f4d88599e6b"])
]
# Data for leaf inclusion proof test
sha256_audit_path = [
"1a208aeebcd1b39fe2de247ee8db9454e1e93a312d206b87f6ca9cc6ec6f1ddd",
"0a1b78b383f580856f433c01a5741e160d451c185910027f6cc9f828687a40c4",
"3d1745789bc63f2da15850de1c12a5bf46ed81e1cc90f086148b1662e79aab3d",
"9095b61e14d8990acf390905621e62b1714fb8e399fbb71de5510e0aef45affe",
"0a332b91b8fab564e6afd1dd452449e04619b18accc0ff9aa8393cd4928451f2",
"2336f0181d264aed6d8f3a6507ca14a8d3b3c3a23791ac263e845d208c1ee330",
"b4ce56e300590500360c146c6452edbede25d4ed83919278749ee5dbe178e048",
"933f6ddc848ea562e4f9c5cfb5f176941301dad0c6fdb9d1fbbe34fac1be6966",
"b95a6222958a86f74c030be27c44f57dbe313e5e7c7f4ffb98bcbd3a03bb52f2",
"daeeb3ce5923defd0faeb8e0c210b753b85b809445d7d3d3cd537a9aabaa9c45",
"7fadd0a13e9138a2aa6c3fdec4e2275af233b94812784f66bcca9aa8e989f2bc",
"1864e6ba3e32878610546539734fb5eeae2529991f130c575c73a7e25a2a7c56",
"12842d1202b1dc6828a17ab253c02e7ce9409b5192430feba44189f39cc02d66",
"29af64b16fa3053c13d02ac63aa75b23aa468506e44c3a2315edc85d2dc22b11",
"b527b99934a0bd9edd154e449b0502e2c499bba783f3bc3dfe23364b6b532009",
"4584db8ae8e351ace08e01f306378a92bfd43611714814f3d834a2842d69faa8",
"86a9a41573b0d6e4292f01e93243d6cc65b30f06606fc6fa57390e7e90ed580f",
"a88b98fbe84d4c6aae8db9d1605dfac059d9f03fe0fcb0d5dff1295dacba09e6",
"06326dc617a6d1f7021dc536026dbfd5fffc6f7c5531d48ef6ccd1ed1569f2a1",
"f41fe8fdc3a2e4e8345e30216e7ebecffee26ff266eeced208a6c2a3cf08f960",
"40cf5bde8abb76983f3e98ba97aa36240402975674e120f234b3448911090f8d",
"b3222dc8658538079883d980d7fdc2bef9285344ea34338968f736b04aeb387a"]
raw_hex_leaf = (
"00000000013de9d2b29b000000055b308205573082043fa00302010202072b777b56df"
"7bc5300d06092a864886f70d01010505003081ca310b30090603550406130255533110"
"300e060355040813074172697a6f6e61311330110603550407130a53636f7474736461"
"6c65311a3018060355040a1311476f44616464792e636f6d2c20496e632e3133303106"
"0355040b132a687474703a2f2f6365727469666963617465732e676f64616464792e63"
"6f6d2f7265706f7369746f72793130302e06035504031327476f204461646479205365"
"637572652043657274696669636174696f6e20417574686f726974793111300f060355"
"040513083037393639323837301e170d3133303131343038353035305a170d31353031"
"31343038353035305a305331163014060355040a130d7777772e69646e65742e6e6574"
"3121301f060355040b1318446f6d61696e20436f6e74726f6c2056616c696461746564"
"311630140603550403130d7777772e69646e65742e6e657430820122300d06092a8648"
"86f70d01010105000382010f003082010a0282010100d4e4a4b1bbc981c9b8166f0737"
"c113000aa5370b21ad86a831a379de929db258f056ba0681c50211552b249a02ec00c5"
"37e014805a5b5f4d09c84fdcdfc49310f4a9f9004245d119ce5461bc5c42fd99694b88"
"388e035e333ac77a24762d2a97ea15622459cc4adcd37474a11c7cff6239f810120f85"
"e014d2066a3592be604b310055e84a74c91c6f401cb7f78bdb45636fb0b1516b04c5ee"
"7b3fa1507865ff885d2ace21cbb28fdaa464efaa1d5faab1c65e4c46d2139175448f54"
"b5da5aea956719de836ac69cd3a74ca049557cee96f5e09e07ba7e7b4ebf9bf167f4c3"
"bf8039a4cab4bec068c899e997bca58672bd7686b5c85ea24841e48c46f76830390203"
"010001a38201b6308201b2300f0603551d130101ff04053003010100301d0603551d25"
"0416301406082b0601050507030106082b06010505070302300e0603551d0f0101ff04"
"04030205a030330603551d1f042c302a3028a026a0248622687474703a2f2f63726c2e"
"676f64616464792e636f6d2f676473312d38332e63726c30530603551d20044c304a30"
"48060b6086480186fd6d010717013039303706082b06010505070201162b687474703a"
"2f2f6365727469666963617465732e676f64616464792e636f6d2f7265706f7369746f"
"72792f30818006082b0601050507010104743072302406082b06010505073001861868"
"7474703a2f2f6f6373702e676f64616464792e636f6d2f304a06082b06010505073002"
"863e687474703a2f2f6365727469666963617465732e676f64616464792e636f6d2f72"
"65706f7369746f72792f67645f696e7465726d6564696174652e637274301f0603551d"
"23041830168014fdac6132936c45d6e2ee855f9abae7769968cce730230603551d1104"
"1c301a820d7777772e69646e65742e6e6574820969646e65742e6e6574301d0603551d"
"0e041604144d3ae8a87ddcf046764021b87e7d8d39ddd18ea0300d06092a864886f70d"
"01010505000382010100ad651b199f340f043732a71178c0af48e22877b9e5d99a70f5"
"d78537c31d6516e19669aa6bfdb8b2cc7a145ba7d77b35101f9519e03b58e692732314"
"1383c3ab45dc219bd5a584a2b6333b6e1bbef5f76e89b3c187ef1d3b853b4910e895a4"
"57dbe7627e759f56c8484c30b22a74fb00f7b1d7c41533a1fd176cd2a2b06076acd7ca"
"ddc6ca6d0c2a815f9eb3ef0d03d27e7eebd7824c78fdb51679c03278cfbb2d85ae65a4"
"7485cb733fc1c7407834f7471ababd68f140983817c6f388b2f2e2bfe9e26608f9924f"
"16473462d136427d1f2801e4b870b078c20ec4ba21e22ab32a00b76522d523825bcabb"
"8c7b6142d624be8d2af69ecc36fb5689572a0f59c00000")
leaf_hash = (
"7a395c866d5ecdb0cccb623e011dbc392cd348d1d1d72776174e127a24b09c78")
leaf_index = 848049
tree_size = 3630887
expected_root_hash = (
"78316a05c9bcf14a3a4548f5b854a9adfcd46a4c034401b3ce7eb7ac2f1d0ecb")
def setUp(self):
self.verifier = merkle.MerkleVerifier(HexTreeHasher())
self.STH = namedtuple("STH", ["sha256_root_hash", "tree_size"])
self.ones = "11" * 32
self.zeros = "00" * 32
def test_verify_tree_consistency(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
for test_vector in MerkleVerifierTest.sha256_proofs:
self.assertTrue(verifier.verify_tree_consistency(*test_vector))
def test_verify_tree_consistency_always_accepts_empty_tree(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
# Give some bogus proof too; it should be ignored.
self.assertTrue(verifier.verify_tree_consistency(
0, 1,
"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855",
"6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d",
["6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d"]
))
def test_verify_tree_consistency_for_equal_tree_sizes(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
# Equal tree sizes and hashes, and a bogus proof that should be ignored.
self.assertTrue(verifier.verify_tree_consistency(
3, 3,
"6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d",
"6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d",
["6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d"]
))
# Equal tree sizes but different hashes.
self.assertRaises(
error.ConsistencyError, verifier.verify_tree_consistency, 3, 3,
"6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01e",
"6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d",
[])
def test_verify_tree_consistency_newer_tree_is_smaller(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
self.assertRaises(
ValueError, verifier.verify_tree_consistency, 5, 2,
"4e3bbb1f7b478dcfe71fb631631519a3bca12c9aefca1612bfce4c13a86264d4",
"fac54203e7cc696cf0dfcb42c92a1d9dbaf70ad9e621f4bd8d98662f00e3c125",
["5f083f0a1a33ca076a95279832580db3e0ef4584bdff1f54c8a360f50de3031e",
"bc1a0643b12e4d2d7c77918f44e0f4f79a838b6cf9ec5b5c283e1f4d88599e6b"]
)
def test_verify_tree_consistency_proof_too_short(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
self.assertRaises(
error.ProofError, verifier.verify_tree_consistency, 6, 8,
"76e67dadbcdf1e10e1b74ddc608abd2f98dfb16fbce75277b5232a127f2087ef",
"5dc9da79a70659a9ad559cb701ded9a2ab9d823aad2f4960cfe370eff4604328",
["0ebc5d3437fbe2db158b9f126a1d118e308181031d0a949f8dededebc558ef6a",
"ca854ea128ed050b41b35ffc1b87b8eb2bde461e9e3b5596ece6b9d5975a0ae0"]
)
def test_verify_tree_consistency_bad_second_hash(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
# A bit has been flipped in the second hash.
self.assertRaises(
error.ProofError, verifier.verify_tree_consistency, 6, 8,
"76e67dadbcdf1e10e1b74ddc608abd2f98dfb16fbce75277b5232a127f2087ef",
"5dc9da79a70659a9ad559cb701ded9a2ab9d823aad2f4960cfe370eff4604329",
["0ebc5d3437fbe2db158b9f126a1d118e308181031d0a949f8dededebc558ef6a",
"ca854ea128ed050b41b35ffc1b87b8eb2bde461e9e3b5596ece6b9d5975a0ae0",
"d37ee418976dd95753c1c73862b9398fa2a2cf9b4ff0fdfe8b30cd95209614b7"]
)
def test_verify_tree_consistency_both_hashes_bad(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
# A bit has been flipped in both hashes.
self.assertRaises(
error.ProofError, verifier.verify_tree_consistency, 6, 8,
"76e67dadbcdf1e10e1b74ddc608abd2f98dfb16fbce75277b5232a127f2087ee",
"5dc9da79a70659a9ad559cb701ded9a2ab9d823aad2f4960cfe370eff4604329",
["0ebc5d3437fbe2db158b9f126a1d118e308181031d0a949f8dededebc558ef6a",
"ca854ea128ed050b41b35ffc1b87b8eb2bde461e9e3b5596ece6b9d5975a0ae0",
"d37ee418976dd95753c1c73862b9398fa2a2cf9b4ff0fdfe8b30cd95209614b7"]
)
def test_verify_tree_consistency_bad_first_hash(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
# A bit has been flipped in the first hash.
self.assertRaises(
error.ConsistencyError, verifier.verify_tree_consistency, 6, 8,
"76e67dadbcdf1e10e1b74ddc608abd2f98dfb16fbce75277b5232a127f2087ee",
"5dc9da79a70659a9ad559cb701ded9a2ab9d823aad2f4960cfe370eff4604328",
["0ebc5d3437fbe2db158b9f126a1d118e308181031d0a949f8dededebc558ef6a",
"ca854ea128ed050b41b35ffc1b87b8eb2bde461e9e3b5596ece6b9d5975a0ae0",
"d37ee418976dd95753c1c73862b9398fa2a2cf9b4ff0fdfe8b30cd95209614b7"]
)
def test_calculate_root_hash_good_proof(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
self.assertEqual(
verifier._calculate_root_hash_from_audit_path(
self.leaf_hash, self.leaf_index, self.sha256_audit_path[:],
self.tree_size),
self.expected_root_hash)
def test_calculate_root_too_short_proof(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
leaf_index = self.leaf_index + int(
math.pow(2, len(self.sha256_audit_path) + 1))
self.assertRaises(
error.ProofError,
verifier._calculate_root_hash_from_audit_path,
self.leaf_hash, leaf_index, self.sha256_audit_path[:],
self.tree_size)
def test_verify_leaf_inclusion_good_proof(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
sth = self.STH(self.expected_root_hash, self.tree_size)
self.assertTrue(
verifier.verify_leaf_inclusion(
self.raw_hex_leaf, self.leaf_index, self.sha256_audit_path,
sth))
def test_verify_leaf_inclusion_bad_proof(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
# Expect this test to fail by providing an incorrect root hash.
sth = self.STH(self.zeros, self.tree_size)
self.assertRaises(
error.ProofError, verifier.verify_leaf_inclusion,
self.raw_hex_leaf, self.leaf_index, self.sha256_audit_path, sth)
def test_verify_leaf_inclusion_incorrect_length_proof(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
sth = self.STH(self.zeros, 4)
# Too long a proof
self.assertRaises(
error.ProofError, verifier.verify_leaf_inclusion,
self.ones, 0, [self.zeros, self.zeros, self.zeros], sth)
# Too short a proof
self.assertRaises(
error.ProofError, verifier.verify_leaf_inclusion,
self.ones, 0, [self.zeros], sth)
def test_verify_leaf_inclusion_single_node_in_tree(self):
# If there is only one entry in the tree, the tree root hash should be
# equal to the leaf hash.
verifier = merkle.MerkleVerifier(HexTreeHasher())
sth = self.STH(self.leaf_hash, 1)
self.assertTrue(
verifier.verify_leaf_inclusion(self.raw_hex_leaf, 0, [], sth))
def test_verify_leaf_inclusion_rightmost_node_in_tree(self):
# Show that verify_leaf_inclusion works when required to check a proof
# for the right-most node: In a tree of 8 nodes, ask for inclusion
# proof check for leaf 7.
verifier = merkle.MerkleVerifier(HexTreeHasher())
hh = HexTreeHasher()
h_s1 = hh.hash_leaf(self.ones)
h_c3 = hh.hash_children(self.zeros, h_s1)
h_c2 = hh.hash_children(self.zeros, h_c3)
h_root = hh.hash_children(self.zeros, h_c2)
sth = self.STH(h_root, 8)
self.assertTrue(
verifier.verify_leaf_inclusion(
self.ones, 7, [self.zeros, self.zeros, self.zeros], sth))
def test_verify_leaf_inclusion_rightmost_node_in_unbalanced_odd_tree(
self):
# Show that verify_leaf_inclusion works when required to check a proof
# for the right-most, even-indexed node: In a tree of 5 nodes, ask for
# inclusion proof check for leaf 4 (the 5th).
verifier = merkle.MerkleVerifier(HexTreeHasher())
hh = HexTreeHasher()
h_s1 = hh.hash_leaf(self.ones)
h_root = hh.hash_children(self.zeros, h_s1)
sth = self.STH(h_root, 5)
self.assertTrue(
verifier.verify_leaf_inclusion(self.ones, 4, [self.zeros, ], sth))
def test_verify_leaf_inclusion_rightmost_node_in_unbalanced_tree_odd_node(
self):
# Show that verify_leaf_inclusion works when required to check a proof
# for the right-most, odd-indexed node: In a tree of 6 nodes, ask for
# inclusion proof check for leaf 5 (the 6th).
verifier = merkle.MerkleVerifier(HexTreeHasher())
hh = HexTreeHasher()
h_s1 = hh.hash_leaf(self.ones)
h_l2 = hh.hash_children(self.zeros, h_s1)
h_root = hh.hash_children(self.zeros, h_l2)
sth = self.STH(h_root, 6)
self.assertTrue(
verifier.verify_leaf_inclusion(
self.ones, 5, [self.zeros, self.zeros], sth))
def test_verify_leaf_inclusion_rightmost_node_in_unbalanced_even_tree(
self):
# Show that verify_leaf_inclusion works when required to check a proof
# for the right-most, odd-indexed node: In a tree of 6 nodes, ask for
# inclusion proof check for leaf 4 (the 5th).
verifier = merkle.MerkleVerifier(HexTreeHasher())
hh = HexTreeHasher()
h_s1 = hh.hash_leaf(self.ones)
h_l2 = hh.hash_children(h_s1, self.zeros)
h_root = hh.hash_children(self.zeros, h_l2)
sth = self.STH(h_root, 6)
self.assertTrue(
verifier.verify_leaf_inclusion(
self.ones, 4, [self.zeros, self.zeros], sth))
def test_verify_leaf_inclusion_throws_on_bad_indices(self):
verifier = merkle.MerkleVerifier(HexTreeHasher())
sth = self.STH("", 6)
self.assertRaises(ValueError,
verifier.verify_leaf_inclusion, "", -3, [], sth)
negative_sth = self.STH("", -3)
self.assertRaises(ValueError,
verifier.verify_leaf_inclusion, "", 3, [], negative_sth)
def test_verify_leaf_inclusion_all_nodes_all_tree_sizes_up_to_4(self):
leaves = ["aa", "bb", "cc", "dd"]
hh = HexTreeHasher()
leaf_hashes = [hh.hash_leaf(l) for l in leaves]
hc = hh.hash_children
proofs_per_tree_size = {
1: [[] ],
2: [[leaf_hashes[1]], [leaf_hashes[0]]],
3: [[leaf_hashes[1], leaf_hashes[2]], # leaf 0
[leaf_hashes[0], leaf_hashes[2]], # leaf 1
[hc(leaf_hashes[0], leaf_hashes[1])]], # leaf 2
4: [[leaf_hashes[1], hc(leaf_hashes[2], leaf_hashes[3])], # leaf 0
[leaf_hashes[0], hc(leaf_hashes[2], leaf_hashes[3])], # leaf 1
[leaf_hashes[3], hc(leaf_hashes[0], leaf_hashes[1])], # leaf 2
[leaf_hashes[2], hc(leaf_hashes[0], leaf_hashes[1])], # leaf 3
]
}
tree = merkle.CompactMerkleTree(hasher=HexTreeHasher())
verifier = merkle.MerkleVerifier(HexTreeHasher())
# Increase the tree by one leaf each time
for i in range(4):
tree.append(leaves[i])
tree_size = i + 1
# ... and check inclusion proof validates for each node
# of the tree
for j in range(tree_size):
proof = proofs_per_tree_size[tree_size][j]
sth = self.STH(tree.root_hash(), tree_size)
self.assertTrue(
verifier.verify_leaf_inclusion(
leaves[j], j, proof, sth))
if __name__ == "__main__":
unittest.main()
|