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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_LOGICAL_HPP
#define BOOST_HANA_TEST_LAWS_LOGICAL_HPP
#include <boost/hana/assert.hpp>
#include <boost/hana/bool.hpp>
#include <boost/hana/concept/comparable.hpp>
#include <boost/hana/core/when.hpp>
#include <boost/hana/functional/capture.hpp>
#include <boost/hana/lazy.hpp>
#include <boost/hana/concept/logical.hpp>
#include <laws/base.hpp>
namespace boost { namespace hana { namespace test {
template <typename L, typename = when<true>>
struct TestLogical : TestLogical<L, laws> {
using TestLogical<L, laws>::TestLogical;
};
template <typename L>
struct TestLogical<L, laws> {
template <typename Xs, typename Pred, typename F>
static void for_each_such_that(Xs xs, Pred pred, F f) {
hana::for_each(xs, [&pred, &f](auto x) {
hana::eval_if(pred(x),
hana::make_lazy(f)(x),
[](auto) { }
);
});
}
template <typename Xs>
TestLogical(Xs xs) {
hana::for_each(xs, [](auto x) {
static_assert(Logical<decltype(x)>{}, "");
});
foreach3(xs, hana::capture(xs)([](auto xs, auto a, auto b, auto c) {
auto true_valued = [](auto x) {
return hana::if_(x, true_c, false_c);
};
auto false_valued = [](auto x) {
return hana::if_(x, false_c, true_c);
};
// associativity
BOOST_HANA_CHECK(hana::equal(
hana::or_(a, hana::or_(b, c)),
hana::or_(hana::or_(a, b), c)
));
BOOST_HANA_CHECK(hana::equal(
hana::and_(a, hana::and_(b, c)),
hana::and_(hana::and_(a, b), c)
));
// equivalence through commutativity
BOOST_HANA_CHECK(
hana::or_(a, b) ^iff^ hana::or_(b, a)
);
BOOST_HANA_CHECK(
hana::and_(a, b) ^iff^ hana::and_(b, a)
);
// absorption
BOOST_HANA_CHECK(hana::equal(
hana::or_(a, hana::and_(a, b)), a
));
BOOST_HANA_CHECK(hana::equal(
hana::and_(a, hana::or_(a, b)), a
));
// left identity
TestLogical::for_each_such_that(xs, true_valued,
hana::capture(a)([](auto a, auto t) {
BOOST_HANA_CHECK(hana::equal(
hana::and_(t, a), a
));
}));
TestLogical::for_each_such_that(xs, false_valued,
hana::capture(a)([](auto a, auto f) {
BOOST_HANA_CHECK(hana::equal(
hana::or_(f, a), a
));
}));
// distributivity
BOOST_HANA_CHECK(hana::equal(
hana::or_(a, hana::and_(b, c)),
hana::and_(hana::or_(a, b), hana::or_(a, c))
));
BOOST_HANA_CHECK(hana::equal(
hana::and_(a, hana::or_(b, c)),
hana::or_(hana::and_(a, b), hana::and_(a, c))
));
// complements
BOOST_HANA_CHECK(true_valued(hana::or_(a, hana::not_(a))));
BOOST_HANA_CHECK(false_valued(hana::and_(a, hana::not_(a))));
}));
}
};
template <typename C>
struct TestLogical<C, when<Constant<C>::value>>
: TestLogical<C, laws>
{
template <typename Xs>
TestLogical(Xs xs) : TestLogical<C, laws>{xs} {
foreach2(xs, [](auto x, auto y) {
BOOST_HANA_CHECK(hana::equal(
hana::value(hana::not_(x)),
hana::not_(hana::value(x))
));
BOOST_HANA_CHECK(hana::equal(
hana::value(hana::and_(x, y)),
hana::and_(hana::value(x), hana::value(y))
));
BOOST_HANA_CHECK(hana::equal(
hana::value(hana::or_(x, y)),
hana::or_(hana::value(x), hana::value(y))
));
});
}
};
}}} // end namespace boost::hana::test
#endif // !BOOST_HANA_TEST_LAWS_LOGICAL_HPP
|
