// // Copyright Aliaksei Levin (levlam@telegram.org), Arseny Smirnov (arseny30@gmail.com) 2014-2022 // // Distributed under the Boost Software License, Version 1.0. (See accompanying // file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) // #include "td/utils/tests.h" #include "td/utils/algorithm.h" #include "td/utils/BigNum.h" #include "td/utils/common.h" #include "td/utils/crypto.h" #include "td/utils/format.h" #include "td/utils/logging.h" #include "td/utils/SliceBuilder.h" #include #include #include #if TD_HAVE_OPENSSL static bool is_prime(td::uint64 x) { for (td::uint64 d = 2; d < x && d * d <= x; d++) { if (x % d == 0) { return false; } } return true; } static td::vector gen_primes(td::uint64 L, td::uint64 R, int limit = 0) { td::vector res; for (auto x = L; x <= R && (limit <= 0 || res.size() < static_cast(limit)); x++) { if (is_prime(x)) { res.push_back(x); } } return res; } static td::vector gen_primes() { td::vector result; td::append(result, gen_primes(1, 100)); td::append(result, gen_primes((1ull << 31) - 500000, std::numeric_limits::max(), 5)); td::append(result, gen_primes((1ull << 32) - 500000, std::numeric_limits::max(), 5)); td::append(result, gen_primes((1ull << 39) - 500000, std::numeric_limits::max(), 1)); return result; } using PqQuery = std::pair; static bool cmp(const PqQuery &a, const PqQuery &b) { return a.first * a.second < b.first * b.second; } static td::vector gen_pq_queries() { td::vector res; auto primes = gen_primes(); for (auto q : primes) { for (auto p : primes) { if (p > q) { break; } res.emplace_back(p, q); } } std::sort(res.begin(), res.end(), cmp); return res; } static void test_pq(td::uint64 first, td::uint64 second) { td::BigNum p = td::BigNum::from_decimal(PSLICE() << first).move_as_ok(); td::BigNum q = td::BigNum::from_decimal(PSLICE() << second).move_as_ok(); td::BigNum pq; td::BigNumContext context; td::BigNum::mul(pq, p, q, context); td::string pq_str = pq.to_binary(); td::string p_str; td::string q_str; int err = td::pq_factorize(pq_str, &p_str, &q_str); LOG_CHECK(err == 0) << first << " * " << second; td::BigNum p_res = td::BigNum::from_binary(p_str); td::BigNum q_res = td::BigNum::from_binary(q_str); LOG_CHECK(p_str == p.to_binary()) << td::tag("got", p_res.to_decimal()) << td::tag("expected", first); LOG_CHECK(q_str == q.to_binary()) << td::tag("got", q_res.to_decimal()) << td::tag("expected", second); } #endif TEST(CryptoPQ, hands) { ASSERT_EQ(1ull, td::pq_factorize(0)); ASSERT_EQ(1ull, td::pq_factorize(1)); ASSERT_EQ(1ull, td::pq_factorize(2)); ASSERT_EQ(1ull, td::pq_factorize(3)); ASSERT_EQ(2ull, td::pq_factorize(4)); ASSERT_EQ(1ull, td::pq_factorize(5)); ASSERT_EQ(3ull, td::pq_factorize(7 * 3)); ASSERT_EQ(179424611ull, td::pq_factorize(179424611ull * 179424673ull)); #if TD_HAVE_OPENSSL test_pq(4294467311, 4294467449); #endif } #if TD_HAVE_OPENSSL TEST(CryptoPQ, generated_slow) { for (int i = 0; i < 100000; i++) { test_pq(2, 2); } auto queries = gen_pq_queries(); for (const auto &query : queries) { test_pq(query.first, query.second); } } #endif