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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_RING_HPP
+#define BOOST_HANA_TEST_LAWS_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/monoid.hpp>
+#include <boost/hana/concept/ring.hpp>
+#include <boost/hana/core/when.hpp>
+#include <boost/hana/equal.hpp>
+#include <boost/hana/functional/capture.hpp>
+#include <boost/hana/lazy.hpp>
+#include <boost/hana/mult.hpp>
+#include <boost/hana/not_equal.hpp>
+#include <boost/hana/one.hpp>
+#include <boost/hana/plus.hpp>
+#include <boost/hana/power.hpp>
+#include <boost/hana/value.hpp>
+
+#include <laws/base.hpp>
+
+
+namespace boost { namespace hana { namespace test {
+ template <typename R, typename = when<true>>
+ struct TestRing : TestRing<R, laws> {
+ using TestRing<R, laws>::TestRing;
+ };
+
+ template <typename R>
+ struct TestRing<R, laws> {
+ template <typename Xs>
+ TestRing(Xs xs) {
+#ifdef BOOST_HANA_WORKAROUND_MSVC_DECLTYPEAUTO_RETURNTYPE_662735
+ one<R>(); // force adding one<R>'s member function to pending temploid list
+#endif
+
+ hana::for_each(xs, hana::capture(xs)([](auto xs, auto x) {
+ static_assert(Ring<decltype(x)>{}, "");
+
+ foreach2(xs, hana::capture(x)([](auto x, auto y, auto z) {
+ // associativity
+ BOOST_HANA_CHECK(hana::equal(
+ hana::mult(x, hana::mult(y, z)),
+ hana::mult(hana::mult(x, y), z)
+ ));
+
+ // distributivity
+ BOOST_HANA_CHECK(hana::equal(
+ hana::mult(x, hana::plus(y, z)),
+ hana::plus(hana::mult(x, y), hana::mult(x, z))
+ ));
+ }));
+
+ // right identity
+ BOOST_HANA_CHECK(hana::equal(
+ hana::mult(x, one<R>()), x
+ ));
+
+ // left identity
+ BOOST_HANA_CHECK(hana::equal(
+ hana::mult(one<R>(), x), x
+ ));
+
+ // power
+ BOOST_HANA_CHECK(hana::equal(
+ hana::power(x, int_c<0>),
+ one<R>()
+ ));
+
+ BOOST_HANA_CHECK(hana::equal(
+ hana::power(x, int_c<1>),
+ x
+ ));
+
+ BOOST_HANA_CHECK(hana::equal(
+ hana::power(x, int_c<2>),
+ hana::mult(x, x)
+ ));
+
+ BOOST_HANA_CHECK(hana::equal(
+ hana::power(x, int_c<3>),
+ hana::mult(hana::mult(x, x), x)
+ ));
+
+ BOOST_HANA_CHECK(hana::equal(
+ hana::power(x, int_c<4>),
+ hana::mult(hana::mult(hana::mult(x, x), x), x)
+ ));
+
+ BOOST_HANA_CHECK(hana::equal(
+ hana::power(x, int_c<5>),
+ hana::mult(hana::mult(hana::mult(hana::mult(x, x), x), x), x)
+ ));
+
+ }));
+ }
+ };
+
+ template <typename C>
+ struct TestRing<C, when<Constant<C>::value>>
+ : TestRing<C, laws>
+ {
+ template <typename Xs>
+ TestRing(Xs xs) : TestRing<C, laws>{xs} {
+ BOOST_HANA_CHECK(hana::equal(
+ hana::value(one<C>()),
+ one<typename C::value_type>()
+ ));
+
+ foreach2(xs, [](auto x, auto y) {
+ BOOST_HANA_CHECK(hana::equal(
+ hana::mult(hana::value(x), hana::value(y)),
+ hana::value(hana::mult(x, y))
+ ));
+ });
+ }
+ };
+}}} // end namespace boost::hana::test
+
+#endif // !BOOST_HANA_TEST_LAWS_RING_HPP