test(util/interval): add more tests

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
This commit is contained in:
Leonardo de Moura 2013-11-19 19:07:09 -08:00
parent 7b8bd97699
commit eba31a0516
2 changed files with 72 additions and 1 deletions

View file

@ -91,9 +91,78 @@ static void tst2() {
lean_assert_eq(power(qi(), 2), qi(false, 0)); // (-oo, oo)^2 == [0, oo)
}
static void check_deps(bound_deps const & deps, bool l1 = false, bool u1 = false, bool l2 = false, bool u2 = false) {
lean_assert(l1 == dep_in_lower1(deps));
lean_assert(u1 == dep_in_upper1(deps));
lean_assert(l2 == dep_in_lower2(deps));
lean_assert(u2 == dep_in_upper2(deps));
}
static void check_lower_deps(interval_deps const & deps, bool l1 = false, bool u1 = false, bool l2 = false, bool u2 = false) {
check_deps(deps.m_lower_deps, l1, u1, l2, u2);
}
static void check_upper_deps(interval_deps const & deps, bool l1 = false, bool u1 = false, bool l2 = false, bool u2 = false) {
check_deps(deps.m_upper_deps, l1, u1, l2, u2);
}
static void tst3() {
qi i1(3, 10, false, true);
qi i2(-8, 2, true, false);
swap(i1, i2);
lean_assert_eq(i1, qi(-8, 2, true, false));
lean_assert_eq(i2, qi(3, 10, false, true));
lean_assert(!qi(2, 3, true, true).contains(qi()));
lean_assert(!qi(2, 10, true, true).contains(qi(0, 10, true, true)));
lean_assert(!qi(2, 10, true, true).contains(qi(2, 10, false, true)));
lean_assert(!qi(2, 10, true, true).contains(qi(true, 5)));
lean_assert(!qi(2, 10, true, true).contains(qi(5, 11, true, true)));
lean_assert(!qi(2, 10, true, true).contains(qi(5, 10, true, false)));
lean_assert(!i1.is_empty());
i1.set_empty();
lean_assert(i1.is_empty());
lean_assert(!i1.is_singleton());
lean_assert(!i2.is_singleton());
i1 = qi(4);
lean_assert(i1.is_singleton());
lean_assert(!qi(true, 1).before(qi(1, 2)));
std::cout << qi(3, true) << "\n";
lean_assert(!qi(1, 2).before(qi(3, true)));
lean_assert(qi(1, 2).before(qi(3, 4)));
interval_deps deps;
qi().neg_jst(deps);
lean_assert_eq(neg(qi()), qi());
check_lower_deps(deps);
check_upper_deps(deps);
std::cout << qi(1, true) << "\n";
qi(1, true).neg_jst(deps);
lean_assert_eq(neg(qi(1, true)), qi(true, -1));
check_lower_deps(deps, false, true);
check_upper_deps(deps);
qi(true, 1).neg_jst(deps);
lean_assert_eq(neg(qi(true, 1)), qi(-1, true));
check_lower_deps(deps);
check_upper_deps(deps, true, false);
qi(1, 3).neg_jst(deps);
check_lower_deps(deps, false, true);
check_upper_deps(deps, true, false);
qi(1, 3).add_jst(qi(2, 4), deps);
check_lower_deps(deps, true, false, true, false);
check_upper_deps(deps, false, true, false, true);
qi(1, 3).sub_jst(qi(2, 4), deps);
check_lower_deps(deps, true, false, false, true);
check_upper_deps(deps, false, true, true, false);
qi i3(0);
i3 *= mpq(3);
lean_assert_eq(i3, qi(0));
i3 /= mpq(4);
lean_assert_eq(i3, qi(0));
}
int main() {
enable_trace("numerics");
tst1();
tst2();
tst3();
return has_violations() ? 1 : 0;
}

View file

@ -130,7 +130,9 @@ bool interval<T>::contains(interval<T> const & b) const {
template<typename T>
bool interval<T>::is_empty() const {
return m_lower == m_upper && m_lower_open && m_upper_open && !m_lower_inf && !m_upper_inf;
return
(m_lower == m_upper && (m_lower_open || m_upper_open) && !m_lower_inf && !m_upper_inf) ||
(m_lower > m_upper && !m_lower_inf && !m_upper_inf);
}
template<typename T>