solidity/test/libsmtutil/DLSolver.cpp
2022-04-25 14:12:05 +02:00

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/*
This file is part of solidity.
solidity is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
solidity is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with solidity. If not, see <http://www.gnu.org/licenses/>.
*/
#include <libsmtutil/DLSolver.h>
#include <boost/test/unit_test.hpp>
using namespace std;
using namespace solidity::smtutil;
namespace solidity::smtutil::test
{
BOOST_AUTO_TEST_SUITE(DLSolverTest)
BOOST_AUTO_TEST_CASE(test_empty_sat)
{
DLSolver solver;
auto [res, model] = solver.check({});
BOOST_CHECK(res == CheckResult::SATISFIABLE);
}
BOOST_AUTO_TEST_CASE(test_basic_sat)
{
DLSolver solver;
Expression a{"a", {}, SortProvider::sintSort};
Expression b{"b", {}, SortProvider::sintSort};
Expression k2{"2", {}, SortProvider::sintSort};
solver.declareVariable(a.name, a.sort);
solver.declareVariable(b.name, b.sort);
solver.addAssertion(a - b <= k2);
auto [res, model] = solver.check({});
BOOST_CHECK(res == CheckResult::SATISFIABLE);
}
BOOST_AUTO_TEST_CASE(test_triangle_sat)
{
DLSolver solver;
// a <= b -> a - b <= 0
// b <= c -> b - c <= 0
// c <= a -> c - a <= 0
Expression a{"a", {}, SortProvider::sintSort};
Expression b{"b", {}, SortProvider::sintSort};
Expression c{"c", {}, SortProvider::sintSort};
Expression k0{"0", {}, SortProvider::sintSort};
solver.declareVariable(a.name, a.sort);
solver.declareVariable(b.name, b.sort);
solver.declareVariable(c.name, c.sort);
solver.addAssertion(a - b <= k0);
solver.addAssertion(b - c <= k0);
solver.addAssertion(c - a <= k0);
auto [res, model] = solver.check({});
BOOST_CHECK(res == CheckResult::SATISFIABLE);
}
BOOST_AUTO_TEST_CASE(test_basic_unsat)
{
DLSolver solver;
// a <= b -> a - b <= 0
// b < a -> b - a < 0 -> b - a <= -1
Expression a{"a", {}, SortProvider::sintSort};
Expression b{"b", {}, SortProvider::sintSort};
Expression k0{"0", {}, SortProvider::sintSort};
Expression kMinus1{"-1", {}, SortProvider::sintSort};
solver.declareVariable(a.name, a.sort);
solver.declareVariable(b.name, b.sort);
solver.addAssertion(a - b <= k0);
solver.addAssertion(b - a <= kMinus1);
auto [res, model] = solver.check({});
BOOST_CHECK(res == CheckResult::UNSATISFIABLE);
}
BOOST_AUTO_TEST_CASE(test_triangle_unsat)
{
DLSolver solver;
// a <= b -> a - b <= 0
// b <= c -> b - c <= 0
// c < a -> c - a < 0 -> c - a <= -1
Expression a{"a", {}, SortProvider::sintSort};
Expression b{"b", {}, SortProvider::sintSort};
Expression c{"c", {}, SortProvider::sintSort};
Expression k0{"0", {}, SortProvider::sintSort};
Expression kMinus1{"-1", {}, SortProvider::sintSort};
solver.declareVariable(a.name, a.sort);
solver.declareVariable(b.name, b.sort);
solver.declareVariable(c.name, c.sort);
solver.addAssertion(a - b <= k0);
solver.addAssertion(b - c <= k0);
solver.addAssertion(c - a <= kMinus1);
auto [res, model] = solver.check({});
BOOST_CHECK(res == CheckResult::UNSATISFIABLE);
}
BOOST_AUTO_TEST_CASE(test_triangle_unsat_reset_sat)
{
DLSolver solver;
// a <= b -> a - b <= 0
// b <= c -> b - c <= 0
// c < a -> c - a < 0 -> c - a <= -1
Expression a{"a", {}, SortProvider::sintSort};
Expression b{"b", {}, SortProvider::sintSort};
Expression c{"c", {}, SortProvider::sintSort};
Expression k0{"0", {}, SortProvider::sintSort};
Expression kMinus1{"-1", {}, SortProvider::sintSort};
solver.declareVariable(a.name, a.sort);
solver.declareVariable(b.name, b.sort);
solver.declareVariable(c.name, c.sort);
solver.addAssertion(a - b <= k0);
solver.addAssertion(b - c <= k0);
solver.addAssertion(c - a <= kMinus1);
auto [res, model] = solver.check({});
BOOST_CHECK(res == CheckResult::UNSATISFIABLE);
solver.reset();
auto [res2, model2] = solver.check({});
BOOST_CHECK(res2 == CheckResult::SATISFIABLE);
}
BOOST_AUTO_TEST_CASE(test_triangle_incremental)
{
DLSolver solver;
// a <= b -> a - b <= 0
// b <= c -> b - c <= 0
// c < a -> c - a < 0 -> c - a <= -1
Expression a{"a", {}, SortProvider::sintSort};
Expression b{"b", {}, SortProvider::sintSort};
Expression c{"c", {}, SortProvider::sintSort};
Expression k0{"0", {}, SortProvider::sintSort};
Expression kMinus1{"-1", {}, SortProvider::sintSort};
solver.declareVariable(a.name, a.sort);
solver.declareVariable(b.name, b.sort);
solver.declareVariable(c.name, c.sort);
solver.addAssertion(a - b <= k0);
solver.addAssertion(b - c <= k0);
auto [res, model] = solver.check({});
BOOST_CHECK(res == CheckResult::SATISFIABLE);
solver.push();
solver.addAssertion(c - a <= kMinus1);
auto [res2, model2] = solver.check({});
BOOST_CHECK(res2 == CheckResult::UNSATISFIABLE);
solver.pop();
auto [res3, model3] = solver.check({});
BOOST_CHECK(res3 == CheckResult::SATISFIABLE);
}
BOOST_AUTO_TEST_CASE(test_triangle_complex)
{
DLSolver solver;
// ab ≤ 2, bc ≤ 3, ca ≤ 7
Expression a{"a", {}, SortProvider::sintSort};
Expression b{"b", {}, SortProvider::sintSort};
Expression c{"c", {}, SortProvider::sintSort};
Expression k2{"2", {}, SortProvider::sintSort};
Expression k3{"3", {}, SortProvider::sintSort};
Expression kMinus7{"-7", {}, SortProvider::sintSort};
solver.declareVariable(a.name, a.sort);
solver.declareVariable(b.name, b.sort);
solver.declareVariable(c.name, c.sort);
solver.addAssertion(a - b <= k2);
solver.addAssertion(b - c <= k3);
solver.addAssertion(c - a <= kMinus7);
auto [res, model] = solver.check({});
BOOST_CHECK(res == CheckResult::UNSATISFIABLE);
}
BOOST_AUTO_TEST_CASE(test_triangle_complex2)
{
DLSolver solver;
// ab ≤ 2, bc ≤ 10, ca ≤ 7
Expression a{"a", {}, SortProvider::sintSort};
Expression b{"b", {}, SortProvider::sintSort};
Expression c{"c", {}, SortProvider::sintSort};
Expression k2{"2", {}, SortProvider::sintSort};
Expression k10{"10", {}, SortProvider::sintSort};
Expression kMinus7{"-7", {}, SortProvider::sintSort};
solver.declareVariable(a.name, a.sort);
solver.declareVariable(b.name, b.sort);
solver.declareVariable(c.name, c.sort);
solver.addAssertion(a - b <= k2);
solver.addAssertion(b - c <= k10);
solver.addAssertion(c - a <= kMinus7);
auto [res, model] = solver.check({});
BOOST_CHECK(res == CheckResult::SATISFIABLE);
}
BOOST_AUTO_TEST_CASE(test_triangle_complex2_incremental)
{
DLSolver solver;
// ab ≤ 2, bc ≤ 10, ca ≤ 7
Expression a{"a", {}, SortProvider::sintSort};
Expression b{"b", {}, SortProvider::sintSort};
Expression c{"c", {}, SortProvider::sintSort};
Expression k2{"2", {}, SortProvider::sintSort};
Expression k3{"3", {}, SortProvider::sintSort};
Expression k10{"10", {}, SortProvider::sintSort};
Expression kMinus7{"-7", {}, SortProvider::sintSort};
solver.declareVariable(a.name, a.sort);
solver.declareVariable(b.name, b.sort);
solver.declareVariable(c.name, c.sort);
solver.addAssertion(a - b <= k2);
solver.addAssertion(c - a <= kMinus7);
auto [res, model] = solver.check({});
BOOST_CHECK(res == CheckResult::SATISFIABLE);
solver.push();
solver.addAssertion(b - c <= k3);
auto [res2, model2] = solver.check({});
BOOST_CHECK(res2 == CheckResult::UNSATISFIABLE);
solver.pop();
solver.addAssertion(b - c <= k10);
auto [res3, model3] = solver.check({});
BOOST_CHECK(res3 == CheckResult::SATISFIABLE);
}
BOOST_AUTO_TEST_SUITE_END()
} // end namespaces