// // Copyright Aliaksei Levin (levlam@telegram.org), Arseny Smirnov (arseny30@gmail.com) 2014-2023 // // 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 <limits> #include <utility> 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<td::uint64> gen_primes(td::uint64 L, td::uint64 R, std::size_t limit = 0) { td::vector<td::uint64> res; for (auto x = L; x <= R && (limit <= 0 || res.size() < limit); x++) { if (is_prime(x)) { res.push_back(x); } } return res; } static td::vector<td::uint64> gen_primes(int mode) { td::vector<td::uint64> result; if (mode == 1) { for (size_t i = 10; i <= 19; i++) { td::append(result, gen_primes(i * 100000000, (i + 1) * 100000000, 1)); } } else { td::append(result, gen_primes(1, 100)); td::append(result, gen_primes((1ull << 31) - 500000, std::numeric_limits<td::uint64>::max(), 5)); td::append(result, gen_primes((1ull << 32) - 500000, std::numeric_limits<td::uint64>::max(), 2)); td::append(result, gen_primes((1ull << 39) - 500000, std::numeric_limits<td::uint64>::max(), 1)); } return result; } using PqQuery = std::pair<td::uint64, td::uint64>; static td::vector<PqQuery> gen_pq_queries(int mode = 0) { td::vector<PqQuery> res; auto primes = gen_primes(mode); for (auto q : primes) { for (auto p : primes) { if (p > q) { break; } res.emplace_back(p, q); } } return res; } static td::string to_binary(td::uint64 x) { td::string result; do { result = static_cast<char>(x & 255) + result; x >>= 8; } while (x > 0); return result; } static void test_pq_fast(td::uint64 first, td::uint64 second) { if ((static_cast<td::uint64>(1) << 63) / first <= second) { return; } td::string p_str; td::string q_str; int err = td::pq_factorize(to_binary(first * second), &p_str, &q_str); ASSERT_EQ(err, 0); ASSERT_STREQ(p_str, to_binary(first)); ASSERT_STREQ(q_str, to_binary(second)); } #if TD_HAVE_OPENSSL static void test_pq_slow(td::uint64 first, td::uint64 second) { if ((static_cast<td::uint64>(1) << 63) / first > second) { return; } 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_slow(4294467311, 4294467449); #endif } TEST(CryptoPQ, four) { for (int i = 0; i < 100000; i++) { test_pq_fast(2, 2); } } TEST(CryptoPQ, generated_fast) { auto queries = gen_pq_queries(); for (const auto &query : queries) { test_pq_fast(query.first, query.second); } } TEST(CryptoPQ, generated_server) { auto queries = gen_pq_queries(1); for (const auto &query : queries) { test_pq_fast(query.first, query.second); } } #if TD_HAVE_OPENSSL TEST(CryptoPQ, generated_slow) { auto queries = gen_pq_queries(); for (const auto &query : queries) { test_pq_slow(query.first, query.second); } } #endif