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#include "gtest/gtest.h"
#include "storm-config.h"
#include "src/solver/Z3SmtSolver.h"
#include "src/settings/Settings.h"
TEST(Z3SmtSolver, CheckSat) {
#ifdef STORM_HAVE_Z3
storm::solver::Z3SmtSolver s;
storm::solver::Z3SmtSolver::CheckResult result;
storm::expressions::Expression exprDeMorgan = !(storm::expressions::Expression::createBooleanVariable("x") && storm::expressions::Expression::createBooleanVariable("y")).iff((!storm::expressions::Expression::createBooleanVariable("x") || !storm::expressions::Expression::createBooleanVariable("y")));
ASSERT_NO_THROW(s.assertExpression(exprDeMorgan));
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::SAT);
ASSERT_NO_THROW(s.reset());
storm::expressions::Expression a = storm::expressions::Expression::createIntegerVariable("a");
storm::expressions::Expression b = storm::expressions::Expression::createIntegerVariable("b");
storm::expressions::Expression c = storm::expressions::Expression::createIntegerVariable("c");
storm::expressions::Expression exprFormula = a >= storm::expressions::Expression::createIntegerLiteral(0)
&& a < storm::expressions::Expression::createIntegerLiteral(5)
&& b > storm::expressions::Expression::createIntegerLiteral(7)
&& c == (a * b)
&& b + a > c;
ASSERT_NO_THROW(s.assertExpression(exprFormula));
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::SAT);
ASSERT_NO_THROW(s.reset());
#else
ASSERT_TRUE(false) << "StoRM built without Z3 support.";
#endif
}
TEST(Z3SmtSolver, CheckUnsat) {
#ifdef STORM_HAVE_Z3
storm::solver::Z3SmtSolver s;
storm::solver::Z3SmtSolver::CheckResult result;
storm::expressions::Expression exprDeMorgan = !(storm::expressions::Expression::createBooleanVariable("x") && storm::expressions::Expression::createBooleanVariable("y")).iff( (!storm::expressions::Expression::createBooleanVariable("x") || !storm::expressions::Expression::createBooleanVariable("y")));
ASSERT_NO_THROW(s.assertExpression(!exprDeMorgan));
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::UNSAT);
ASSERT_NO_THROW(s.reset());
storm::expressions::Expression a = storm::expressions::Expression::createIntegerVariable("a");
storm::expressions::Expression b = storm::expressions::Expression::createIntegerVariable("b");
storm::expressions::Expression c = storm::expressions::Expression::createIntegerVariable("c");
storm::expressions::Expression exprFormula = a >= storm::expressions::Expression::createIntegerLiteral(2)
&& a < storm::expressions::Expression::createIntegerLiteral(5)
&& b > storm::expressions::Expression::createIntegerLiteral(7)
&& c == (a * b)
&& b + a > c;
ASSERT_NO_THROW(s.assertExpression(exprFormula));
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::UNSAT);
#else
ASSERT_TRUE(false) << "StoRM built without Z3 support.";
#endif
}
TEST(Z3SmtSolver, Backtracking) {
#ifdef STORM_HAVE_Z3
storm::solver::Z3SmtSolver s;
storm::solver::Z3SmtSolver::CheckResult result;
storm::expressions::Expression expr1 = storm::expressions::Expression::createTrue();
storm::expressions::Expression expr2 = storm::expressions::Expression::createFalse();
storm::expressions::Expression expr3 = storm::expressions::Expression::createFalse();
ASSERT_NO_THROW(s.assertExpression(expr1));
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::SAT);
ASSERT_NO_THROW(s.push());
ASSERT_NO_THROW(s.assertExpression(expr2));
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::UNSAT);
ASSERT_NO_THROW(s.pop());
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::SAT);
ASSERT_NO_THROW(s.push());
ASSERT_NO_THROW(s.assertExpression(expr2));
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::UNSAT);
ASSERT_NO_THROW(s.push());
ASSERT_NO_THROW(s.assertExpression(expr3));
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::UNSAT);
ASSERT_NO_THROW(s.pop(2));
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::SAT);
ASSERT_NO_THROW(s.reset());
storm::expressions::Expression a = storm::expressions::Expression::createIntegerVariable("a");
storm::expressions::Expression b = storm::expressions::Expression::createIntegerVariable("b");
storm::expressions::Expression c = storm::expressions::Expression::createIntegerVariable("c");
storm::expressions::Expression exprFormula = a >= storm::expressions::Expression::createIntegerLiteral(0)
&& a < storm::expressions::Expression::createIntegerLiteral(5)
&& b > storm::expressions::Expression::createIntegerLiteral(7)
&& c == (a * b)
&& b + a > c;
storm::expressions::Expression exprFormula2 = a >= storm::expressions::Expression::createIntegerLiteral(2);
ASSERT_NO_THROW(s.assertExpression(exprFormula));
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::SAT);
ASSERT_NO_THROW(s.push());
ASSERT_NO_THROW(s.assertExpression(exprFormula2));
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::UNSAT);
ASSERT_NO_THROW(s.pop());
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::SAT);
#else
ASSERT_TRUE(false) << "StoRM built without Z3 support.";
#endif
}
TEST(Z3SmtSolver, Assumptions) {
#ifdef STORM_HAVE_Z3
storm::solver::Z3SmtSolver s;
storm::solver::Z3SmtSolver::CheckResult result;
storm::expressions::Expression a = storm::expressions::Expression::createIntegerVariable("a");
storm::expressions::Expression b = storm::expressions::Expression::createIntegerVariable("b");
storm::expressions::Expression c = storm::expressions::Expression::createIntegerVariable("c");
storm::expressions::Expression exprFormula = a >= storm::expressions::Expression::createIntegerLiteral(0)
&& a < storm::expressions::Expression::createIntegerLiteral(5)
&& b > storm::expressions::Expression::createIntegerLiteral(7)
&& c == (a * b)
&& b + a > c;
storm::expressions::Expression f2 = storm::expressions::Expression::createBooleanVariable("f2");
storm::expressions::Expression exprFormula2 = f2.implies(a >= storm::expressions::Expression::createIntegerLiteral(2));
ASSERT_NO_THROW(s.assertExpression(exprFormula));
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::SAT);
ASSERT_NO_THROW(s.assertExpression(exprFormula2));
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::SAT);
ASSERT_NO_THROW(result = s.checkWithAssumptions({f2}));
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::UNSAT);
ASSERT_NO_THROW(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::SAT);
ASSERT_NO_THROW(result = s.checkWithAssumptions({ !f2 }));
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::SAT);
#else
ASSERT_TRUE(false) << "StoRM built without Z3 support.";
#endif
}
TEST(Z3SmtSolver, GenerateModel) {
#ifdef STORM_HAVE_Z3
storm::solver::Z3SmtSolver s;
storm::solver::Z3SmtSolver::CheckResult result;
storm::expressions::Expression a = storm::expressions::Expression::createIntegerVariable("a");
storm::expressions::Expression b = storm::expressions::Expression::createIntegerVariable("b");
storm::expressions::Expression c = storm::expressions::Expression::createIntegerVariable("c");
storm::expressions::Expression exprFormula = a >= storm::expressions::Expression::createIntegerLiteral(0)
&& a < storm::expressions::Expression::createIntegerLiteral(5)
&& b > storm::expressions::Expression::createIntegerLiteral(7)
&& c == (a * b)
&& b + a > c;
(s.assertExpression(exprFormula));
(result = s.check());
ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::SAT);
storm::expressions::SimpleValuation model;
(model = s.getModel());
int_fast64_t a_eval;
(a_eval = model.getIntegerValue("a"));
ASSERT_EQ(1, a_eval);
#else
ASSERT_TRUE(false) << "StoRM built without Z3 support.";
#endif
}