/* * (C) 2009 Jack Lloyd * * Distributed under the terms of the Botan license */ #include "tests.h" #include #include #include #include #include #include #include #include #include #include using namespace Botan; namespace { size_t test_make_prime() { AutoSeeded_RNG rng; std::set primes; std::map bit_count; int not_new = 0; while(primes.size() < 10000) { u32bit start_cnt = primes.size(); u32bit bits = 18; if(rng.next_byte() % 128 == 0) bits -= rng.next_byte() % (bits-2); bit_count[bits]++; //std::cout << "random_prime(" << bits << ")\n"; BigInt p = random_prime(rng, bits); if(p.bits() != bits) { std::cout << "Asked for " << bits << " got " << p << " " << p.bits() << " bits\n"; return 1; } primes.insert(random_prime(rng, bits)); if(primes.size() != start_cnt) std::cout << primes.size() << "\n"; else not_new++; //std::cout << "miss: " << not_new << "\n"; if(not_new % 100000 == 0) { for(std::map::iterator i = bit_count.begin(); i != bit_count.end(); ++i) std::cout << "bit_count[" << i->first << "] = " << i->second << "\n"; std::copy(primes.begin(), primes.end(), std::ostream_iterator(std::cout, " ")); } } std::cout << "Generated all? primes\n"; /* for(u32bit j = 0; j != PRIME_TABLE_SIZE; ++j) { if(primes.count(PRIMES[j]) != 1) std::cout << "Missing " << PRIMES[j] << "\n"; } */ } // c==expected, d==a op b, e==a op= b size_t results(std::string op, const BigInt& a, const BigInt& b, const BigInt& c, const BigInt& d, const BigInt& e) { std::string op1 = "operator" + op; std::string op2 = op1 + "="; if(c == d && d == e) return 0; else { std::cout << std::endl; std::cout << "ERROR: " << op1 << std::endl; std::cout << "a = " << std::hex << a << std::endl; std::cout << "b = " << std::hex << b << std::endl; std::cout << "c = " << std::hex << c << std::endl; std::cout << "d = " << std::hex << d << std::endl; std::cout << "e = " << std::hex << e << std::endl; if(d != e) { std::cout << "ERROR: " << op1 << " | " << op2 << " mismatch" << std::endl; } return 1; } } size_t check_add(const std::vector& args) { BigInt a(args[0]); BigInt b(args[1]); BigInt c(args[2]); BigInt d = a + b; BigInt e = a; e += b; if(results("+", a, b, c, d, e)) return 1; d = b + a; e = b; e += a; return results("+", a, b, c, d, e); } size_t check_sub(const std::vector& args) { BigInt a(args[0]); BigInt b(args[1]); BigInt c(args[2]); BigInt d = a - b; BigInt e = a; e -= b; return results("-", a, b, c, d, e); } size_t check_mul(const std::vector& args) { BigInt a(args[0]); BigInt b(args[1]); BigInt c(args[2]); /* std::cout << "a = " << args[0] << "\n" << "b = " << args[1] << std::endl; */ /* This makes it more likely the fast multiply algorithms will be usable, which is what we really want to test here (the simple n^2 multiply is pretty well tested at this point). */ a.grow_to(64); b.grow_to(64); BigInt d = a * b; BigInt e = a; e *= b; if(results("*", a, b, c, d, e)) return 1; d = b * a; e = b; e *= a; return results("*", a, b, c, d, e); } size_t check_sqr(const std::vector& args) { BigInt a(args[0]); BigInt b(args[1]); a.grow_to(64); b.grow_to(64); BigInt c = square(a); BigInt d = a * a; return results("sqr", a, a, b, c, d); } size_t check_div(const std::vector& args) { BigInt a(args[0]); BigInt b(args[1]); BigInt c(args[2]); BigInt d = a / b; BigInt e = a; e /= b; return results("/", a, b, c, d, e); } size_t check_mod(const std::vector& args, Botan::RandomNumberGenerator& rng) { BigInt a(args[0]); BigInt b(args[1]); BigInt c(args[2]); BigInt d = a % b; BigInt e = a; e %= b; size_t got = results("%", a, b, c, d, e); if(got) return got; word b_word = b.word_at(0); /* Won't work for us, just pick one at random */ while(b_word == 0) for(size_t j = 0; j != 2*sizeof(word); j++) b_word = (b_word << 4) ^ rng.next_byte(); b = b_word; c = a % b; /* we declare the BigInt % BigInt version to be correct here */ word d2 = a % b_word; e = a; e %= b_word; return results("%(word)", a, b, c, d2, e); } size_t check_shl(const std::vector& args) { BigInt a(args[0]); size_t b = std::atoi(args[1].c_str()); BigInt c(args[2]); BigInt d = a << b; BigInt e = a; e <<= b; return results("<<", a, b, c, d, e); } size_t check_shr(const std::vector& args) { BigInt a(args[0]); size_t b = std::atoi(args[1].c_str()); BigInt c(args[2]); BigInt d = a >> b; BigInt e = a; e >>= b; return results(">>", a, b, c, d, e); } /* Make sure that (a^b)%m == r */ size_t check_powmod(const std::vector& args) { BigInt a(args[0]); BigInt b(args[1]); BigInt m(args[2]); BigInt c(args[3]); BigInt r = power_mod(a, b, m); if(c != r) { std::cout << "ERROR: power_mod" << std::endl; std::cout << "a = " << std::hex << a << std::endl; std::cout << "b = " << std::hex << b << std::endl; std::cout << "m = " << std::hex << m << std::endl; std::cout << "c = " << std::hex << c << std::endl; std::cout << "r = " << std::hex << r << std::endl; return 1; } return 0; } /* Make sure that n is prime or not prime, according to should_be_prime */ size_t check_primetest(const std::vector& args, Botan::RandomNumberGenerator& rng) { BigInt n(args[0]); bool should_be_prime = (args[1] == "1"); bool is_prime = Botan::verify_prime(n, rng); if(is_prime != should_be_prime) { std::cout << "ERROR: verify_prime" << std::endl; std::cout << "n = " << n << std::endl; std::cout << is_prime << " != " << should_be_prime << std::endl; } return 0; } } size_t test_bigint() { const std::string filename = CHECKS_DIR "/mp_valid.dat"; std::ifstream test_data(filename.c_str()); if(!test_data) throw Botan::Stream_IO_Error("Couldn't open test file " + filename); size_t total_errors = 0; size_t errors = 0, alg_count = 0; std::string algorithm; bool first = true; size_t counter = 0; AutoSeeded_RNG rng; while(!test_data.eof()) { if(test_data.bad() || test_data.fail()) throw Botan::Stream_IO_Error("File I/O error reading from " + filename); std::string line; std::getline(test_data, line); strip(line); if(line.size() == 0) continue; // Do line continuation while(line[line.size()-1] == '\\' && !test_data.eof()) { line.replace(line.size()-1, 1, ""); std::string nextline; std::getline(test_data, nextline); strip(nextline); if(nextline.size() == 0) continue; line += nextline; } if(line[0] == '[' && line[line.size() - 1] == ']') { if(!first) test_report("Bigint " + algorithm, alg_count, errors); algorithm = line.substr(1, line.size() - 2); total_errors += errors; errors = 0; alg_count = 0; counter = 0; first = false; continue; } std::vector substr = parse(line); #if DEBUG std::cout << "Testing: " << algorithm << std::endl; #endif size_t new_errors = 0; if(algorithm.find("Addition") != std::string::npos) new_errors = check_add(substr); else if(algorithm.find("Subtraction") != std::string::npos) new_errors = check_sub(substr); else if(algorithm.find("Multiplication") != std::string::npos) new_errors = check_mul(substr); else if(algorithm.find("Square") != std::string::npos) new_errors = check_sqr(substr); else if(algorithm.find("Division") != std::string::npos) new_errors = check_div(substr); else if(algorithm.find("Modulo") != std::string::npos) new_errors = check_mod(substr, rng); else if(algorithm.find("LeftShift") != std::string::npos) new_errors = check_shl(substr); else if(algorithm.find("RightShift") != std::string::npos) new_errors = check_shr(substr); else if(algorithm.find("ModExp") != std::string::npos) new_errors = check_powmod(substr); else if(algorithm.find("PrimeTest") != std::string::npos) new_errors = check_primetest(substr, rng); else std::cout << "Unknown MPI test " << algorithm << std::endl; counter++; alg_count++; errors += new_errors; if(new_errors) std::cout << "ERROR: BigInt " << algorithm << " failed test #" << std::dec << alg_count << std::endl; } //total_errors += test_make_prime(); return total_errors; }