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boost_integer/test/extended_euclidean_test.cpp

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1.4 KiB
C++

/*
* (C) Copyright Nick Thompson 2018.
* Use, modification and distribution are subject to 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)
*/
#define BOOST_TEST_MODULE extended_euclidean_test
#include <boost/test/included/unit_test.hpp>
#include <boost/multiprecision/cpp_int.hpp>
#include <boost/integer/common_factor.hpp>
#include <boost/integer/extended_euclidean.hpp>
using boost::multiprecision::int128_t;
using boost::integer::extended_euclidean;
using boost::integer::gcd;
template<class Z>
void test_extended_euclidean()
{
std::cout << "Testing the extended Euclidean algorithm on type " << boost::typeindex::type_id<Z>().pretty_name() << "\n";
Z max_arg = 1000;
for (Z m = 1; m < max_arg; ++m)
{
for (Z n = 1; n < max_arg; ++n)
{
std::tuple<Z, Z, Z> u = extended_euclidean(m, n);
Z gcdmn = gcd(m, n);
Z x = std::get<1>(u);
Z y = std::get<2>(u);
BOOST_CHECK_EQUAL(std::get<0>(u), gcdmn);
BOOST_CHECK_EQUAL(m*x + n*y, gcdmn);
}
}
}
BOOST_AUTO_TEST_CASE(extended_euclidean_test)
{
test_extended_euclidean<short int>();
test_extended_euclidean<int>();
test_extended_euclidean<long>();
test_extended_euclidean<long long>();
test_extended_euclidean<int128_t>();
}