88 lines
2.9 KiB
C++
88 lines
2.9 KiB
C++
///////////////////////////////////////////////////////////////
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// Copyright 2012 John Maddock. Distributed under the Boost
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// Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
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#ifdef _MSC_VER
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#define _SCL_SECURE_NO_WARNINGS
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#endif
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#include <boost/multiprecision/gmp.hpp>
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#include <boost/multiprecision/cpp_int.hpp>
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#include <boost/multiprecision/miller_rabin.hpp>
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#include <boost/math/special_functions/prime.hpp>
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#include <iostream>
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#include <iomanip>
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#include "test.hpp"
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template <class I>
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void test()
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{
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//
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// Very simple test program to verify that the GMP's Miller-Rabin
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// implementation and this one agree on whether some random numbers
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// are prime or not. Of course these are probabilistic tests so there's
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// no reason why they should actually agree - except the probability of
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// disagreement for 25 trials is almost infinitely small.
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//
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using namespace boost::random;
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using namespace boost::multiprecision;
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typedef I test_type;
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static const unsigned test_bits =
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std::numeric_limits<test_type>::digits && (std::numeric_limits<test_type>::digits <= 256)
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? std::numeric_limits<test_type>::digits
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: 128;
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independent_bits_engine<mt11213b, test_bits, test_type> gen;
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//
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// We must use a different generator for the tests and number generation, otherwise
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// we get false positives. Further we use the same random number engine for the
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// Miller Rabin test as GMP uses internally:
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//
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mt19937 gen2;
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//
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// Begin by testing the primes in our table as all these should return true:
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//
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for (unsigned i = 1; i < boost::math::max_prime; ++i)
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{
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BOOST_TEST(miller_rabin_test(test_type(boost::math::prime(i)), 25, gen));
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BOOST_TEST(mpz_probab_prime_p(mpz_int(boost::math::prime(i)).backend().data(), 25));
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}
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//
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// Now test some random values and compare GMP's native routine with ours.
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//
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for (unsigned i = 0; i < 10000; ++i)
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{
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test_type n = gen();
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bool is_prime_boost = miller_rabin_test(n, 25, gen2);
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bool is_gmp_prime = mpz_probab_prime_p(mpz_int(n).backend().data(), 25) ? true : false;
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if (is_prime_boost && is_gmp_prime)
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{
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std::cout << "We have a prime: " << std::hex << std::showbase << n << std::endl;
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}
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if (is_prime_boost != is_gmp_prime)
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std::cout << std::hex << std::showbase << "n = " << n << std::endl;
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BOOST_CHECK_EQUAL(is_prime_boost, is_gmp_prime);
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}
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}
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int main()
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{
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using namespace boost::multiprecision;
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test<mpz_int>();
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test<number<gmp_int, et_off> >();
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test<boost::uint64_t>();
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test<boost::uint32_t>();
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test<cpp_int>();
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test<number<cpp_int_backend<64, 64, unsigned_magnitude, checked, void>, et_off> >();
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test<checked_uint128_t>();
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test<checked_uint1024_t>();
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return boost::report_errors();
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}
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