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- // Copyright Louis Dionne 2013-2017
- // Distributed under the Boost Software License, Version 1.0.
- // (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
- #ifndef BOOST_HANA_TEST_LAWS_EUCLIDEAN_RING_HPP
- #define BOOST_HANA_TEST_LAWS_EUCLIDEAN_RING_HPP
- #include <boost/hana/assert.hpp>
- #include <boost/hana/bool.hpp>
- #include <boost/hana/concept/comparable.hpp>
- #include <boost/hana/concept/constant.hpp>
- #include <boost/hana/concept/euclidean_ring.hpp>
- #include <boost/hana/core/when.hpp>
- #include <boost/hana/div.hpp>
- #include <boost/hana/equal.hpp>
- #include <boost/hana/for_each.hpp>
- #include <boost/hana/lazy.hpp>
- #include <boost/hana/mod.hpp>
- #include <boost/hana/mult.hpp>
- #include <boost/hana/not_equal.hpp>
- #include <boost/hana/plus.hpp>
- #include <boost/hana/value.hpp>
- #include <boost/hana/zero.hpp>
- #include <laws/base.hpp>
- namespace boost { namespace hana { namespace test {
- template <typename D, typename = when<true>>
- struct TestEuclideanRing : TestEuclideanRing<D, laws> {
- using TestEuclideanRing<D, laws>::TestEuclideanRing;
- };
- template <typename D>
- struct TestEuclideanRing<D, laws> {
- template <typename Xs>
- TestEuclideanRing(Xs xs) {
- hana::for_each(xs, [](auto x) {
- static_assert(EuclideanRing<decltype(x)>{}, "");
- });
- #ifdef BOOST_HANA_WORKAROUND_MSVC_DECLTYPEAUTO_RETURNTYPE_662735
- zero<D>(); // force adding zero<D>'s member function to pending temploid list
- #endif
- foreach2(xs, [](auto a, auto b) {
- // commutativity
- BOOST_HANA_CHECK(hana::equal(
- hana::mult(a, b),
- hana::mult(b, a)
- ));
- only_when_(hana::not_equal(b, zero<D>()),
- hana::make_lazy([](auto a, auto b) {
- BOOST_HANA_CHECK(hana::equal(
- hana::plus(
- hana::mult(hana::div(a, b), b),
- hana::mod(a, b)
- ),
- a
- ));
- BOOST_HANA_CHECK(hana::equal(
- hana::mod(zero<D>(), b),
- zero<D>()
- ));
- })(a, b));
- });
- }
- };
- template <typename C>
- struct TestEuclideanRing<C, when<Constant<C>::value>>
- : TestEuclideanRing<C, laws>
- {
- template <typename Xs>
- TestEuclideanRing(Xs xs) : TestEuclideanRing<C, laws>{xs} {
- foreach2(xs, [](auto x, auto y) {
- only_when_(hana::not_equal(zero<C>(), y),
- hana::make_lazy([](auto x, auto y) {
- BOOST_HANA_CHECK(hana::equal(
- hana::div(hana::value(x), hana::value(y)),
- hana::value(hana::div(x, y))
- ));
- BOOST_HANA_CHECK(hana::equal(
- hana::mod(hana::value(x), hana::value(y)),
- hana::value(hana::mod(x, y))
- ));
- })(x, y));
- });
- }
- };
- }}} // end namespace boost::hana::test
- #endif // !BOOST_HANA_TEST_LAWS_EUCLIDEAN_RING_HPP
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