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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_COMPARABLE_HPP
+#define BOOST_HANA_TEST_LAWS_COMPARABLE_HPP
+
+#include <boost/hana/and.hpp>
+#include <boost/hana/assert.hpp>
+#include <boost/hana/bool.hpp>
+#include <boost/hana/comparing.hpp>
+#include <boost/hana/concept/comparable.hpp>
+#include <boost/hana/concept/constant.hpp>
+#include <boost/hana/concept/product.hpp>
+#include <boost/hana/concept/sequence.hpp>
+#include <boost/hana/core/make.hpp>
+#include <boost/hana/core/when.hpp>
+#include <boost/hana/equal.hpp>
+#include <boost/hana/first.hpp>
+#include <boost/hana/for_each.hpp>
+#include <boost/hana/lazy.hpp>
+#include <boost/hana/not_equal.hpp>
+#include <boost/hana/second.hpp>
+#include <boost/hana/value.hpp>
+
+
+#include <laws/base.hpp>
+
+
+namespace boost { namespace hana { namespace test {
+ template <typename T, typename = hana::when<true>>
+ struct TestComparable : TestComparable<T, laws> {
+ using TestComparable<T, laws>::TestComparable;
+ };
+
+ template <typename T>
+ struct TestComparable<T, laws> {
+ template <typename Xs>
+ TestComparable(Xs xs) {
+ hana::for_each(xs, [](auto x) {
+ static_assert(hana::Comparable<decltype(x)>{}, "");
+ });
+
+ foreach2(xs, [](auto a, auto b) {
+
+ // reflexivity
+ BOOST_HANA_CHECK(
+ hana::equal(a, a)
+ );
+
+ // symmetry
+ BOOST_HANA_CHECK(
+ hana::equal(a, b) ^implies^ hana::equal(b, a)
+ );
+
+ // `not_equal` is the negation of `equal`
+ BOOST_HANA_CHECK(
+ hana::not_equal(a, b) ^iff^ hana::not_(hana::equal(a, b))
+ );
+
+ // equal.to and not_equal.to
+ BOOST_HANA_CHECK(
+ hana::equal.to(a)(b) ^iff^ hana::equal(a, b)
+ );
+
+ BOOST_HANA_CHECK(
+ hana::not_equal.to(a)(b) ^iff^ hana::not_equal(a, b)
+ );
+
+ // comparing
+ _injection<0> f{};
+ BOOST_HANA_CHECK(
+ hana::comparing(f)(a, b) ^iff^ hana::equal(f(a), f(b))
+ );
+ });
+
+ // transitivity
+ foreach3(xs, [](auto a, auto b, auto c) {
+ BOOST_HANA_CHECK(
+ hana::and_(hana::equal(a, b), hana::equal(b, c))
+ ^implies^ hana::equal(a, c)
+ );
+ });
+ }
+ };
+
+ template <typename C>
+ struct TestComparable<C, when<Constant<C>::value>>
+ : TestComparable<C, laws>
+ {
+ template <typename Xs>
+ TestComparable(Xs xs) : TestComparable<C, laws>{xs} {
+ foreach2(xs, [](auto a, auto b) {
+ BOOST_HANA_CHECK(
+ hana::value(hana::equal(a, b)) ^iff^
+ hana::equal(hana::value(a), hana::value(b))
+ );
+ });
+ }
+ };
+
+ template <typename P>
+ struct TestComparable<P, when<Product<P>::value>>
+ : TestComparable<P, laws>
+ {
+ template <typename Products>
+ TestComparable(Products products) : TestComparable<P, laws>{products} {
+ foreach2(products, [](auto x, auto y) {
+ BOOST_HANA_CHECK(
+ hana::equal(x, y) ^iff^
+ hana::and_(
+ hana::equal(hana::first(x), hana::first(y)),
+ hana::equal(hana::second(x), hana::second(y))
+ )
+ );
+ });
+ }
+ };
+
+ template <typename S>
+ struct TestComparable<S, when<Sequence<S>::value>>
+ : TestComparable<S, laws>
+ {
+ template <int i>
+ using x = _constant<i>;
+
+ template <typename Xs>
+ TestComparable(Xs xs) : TestComparable<S, laws>{xs} {
+ constexpr auto list = make<S>;
+
+ //////////////////////////////////////////////////////////////////
+ // equal
+ //////////////////////////////////////////////////////////////////
+ BOOST_HANA_CONSTANT_CHECK(hana::equal(
+ list(),
+ list()
+ ));
+ BOOST_HANA_CONSTANT_CHECK(hana::not_(hana::equal(
+ list(x<0>{}),
+ list()
+ )));
+ BOOST_HANA_CONSTANT_CHECK(hana::not_(hana::equal(
+ list(),
+ list(x<0>{})
+ )));
+ BOOST_HANA_CONSTANT_CHECK(hana::equal(
+ list(x<0>{}),
+ list(x<0>{})
+ ));
+
+ BOOST_HANA_CONSTANT_CHECK(hana::not_(hana::equal(
+ list(x<0>{}, x<1>{}),
+ list(x<0>{})
+ )));
+ BOOST_HANA_CONSTANT_CHECK(hana::equal(
+ list(x<0>{}, x<1>{}),
+ list(x<0>{}, x<1>{})
+ ));
+ BOOST_HANA_CONSTANT_CHECK(hana::not_(hana::equal(
+ list(x<0>{}, x<1>{}, x<2>{}, x<3>{}),
+ list(x<0>{}, x<1>{}, x<2>{}, x<4>{})
+ )));
+ }
+ };
+}}} // end namespace boost::hana::test
+
+#endif // !BOOST_HANA_TEST_LAWS_COMPARABLE_HPP