test(util/interval): add more tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
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2 changed files with 72 additions and 1 deletions
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@ -91,9 +91,78 @@ static void tst2() {
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lean_assert_eq(power(qi(), 2), qi(false, 0)); // (-oo, oo)^2 == [0, oo)
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}
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static void check_deps(bound_deps const & deps, bool l1 = false, bool u1 = false, bool l2 = false, bool u2 = false) {
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lean_assert(l1 == dep_in_lower1(deps));
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lean_assert(u1 == dep_in_upper1(deps));
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lean_assert(l2 == dep_in_lower2(deps));
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lean_assert(u2 == dep_in_upper2(deps));
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}
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static void check_lower_deps(interval_deps const & deps, bool l1 = false, bool u1 = false, bool l2 = false, bool u2 = false) {
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check_deps(deps.m_lower_deps, l1, u1, l2, u2);
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}
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static void check_upper_deps(interval_deps const & deps, bool l1 = false, bool u1 = false, bool l2 = false, bool u2 = false) {
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check_deps(deps.m_upper_deps, l1, u1, l2, u2);
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}
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static void tst3() {
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qi i1(3, 10, false, true);
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qi i2(-8, 2, true, false);
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swap(i1, i2);
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lean_assert_eq(i1, qi(-8, 2, true, false));
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lean_assert_eq(i2, qi(3, 10, false, true));
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lean_assert(!qi(2, 3, true, true).contains(qi()));
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lean_assert(!qi(2, 10, true, true).contains(qi(0, 10, true, true)));
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lean_assert(!qi(2, 10, true, true).contains(qi(2, 10, false, true)));
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lean_assert(!qi(2, 10, true, true).contains(qi(true, 5)));
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lean_assert(!qi(2, 10, true, true).contains(qi(5, 11, true, true)));
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lean_assert(!qi(2, 10, true, true).contains(qi(5, 10, true, false)));
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lean_assert(!i1.is_empty());
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i1.set_empty();
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lean_assert(i1.is_empty());
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lean_assert(!i1.is_singleton());
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lean_assert(!i2.is_singleton());
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i1 = qi(4);
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lean_assert(i1.is_singleton());
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lean_assert(!qi(true, 1).before(qi(1, 2)));
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std::cout << qi(3, true) << "\n";
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lean_assert(!qi(1, 2).before(qi(3, true)));
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lean_assert(qi(1, 2).before(qi(3, 4)));
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interval_deps deps;
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qi().neg_jst(deps);
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lean_assert_eq(neg(qi()), qi());
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check_lower_deps(deps);
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check_upper_deps(deps);
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std::cout << qi(1, true) << "\n";
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qi(1, true).neg_jst(deps);
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lean_assert_eq(neg(qi(1, true)), qi(true, -1));
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check_lower_deps(deps, false, true);
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check_upper_deps(deps);
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qi(true, 1).neg_jst(deps);
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lean_assert_eq(neg(qi(true, 1)), qi(-1, true));
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check_lower_deps(deps);
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check_upper_deps(deps, true, false);
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qi(1, 3).neg_jst(deps);
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check_lower_deps(deps, false, true);
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check_upper_deps(deps, true, false);
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qi(1, 3).add_jst(qi(2, 4), deps);
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check_lower_deps(deps, true, false, true, false);
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check_upper_deps(deps, false, true, false, true);
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qi(1, 3).sub_jst(qi(2, 4), deps);
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check_lower_deps(deps, true, false, false, true);
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check_upper_deps(deps, false, true, true, false);
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qi i3(0);
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i3 *= mpq(3);
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lean_assert_eq(i3, qi(0));
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i3 /= mpq(4);
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lean_assert_eq(i3, qi(0));
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}
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int main() {
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enable_trace("numerics");
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tst1();
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tst2();
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tst3();
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return has_violations() ? 1 : 0;
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}
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@ -130,7 +130,9 @@ bool interval<T>::contains(interval<T> const & b) const {
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template<typename T>
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bool interval<T>::is_empty() const {
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return m_lower == m_upper && m_lower_open && m_upper_open && !m_lower_inf && !m_upper_inf;
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return
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(m_lower == m_upper && (m_lower_open || m_upper_open) && !m_lower_inf && !m_upper_inf) ||
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(m_lower > m_upper && !m_lower_inf && !m_upper_inf);
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}
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template<typename T>
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