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187 lines
7.9 KiB
187 lines
7.9 KiB
#include "gtest/gtest.h"
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#include "storm-config.h"
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#include <memory>
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#include "src/storage/expressions/ExpressionManager.h"
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#ifdef STORM_HAVE_Z3
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#include "z3++.h"
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#include "src/adapters/Z3ExpressionAdapter.h"
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#include "src/settings/SettingsManager.h"
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TEST(Z3ExpressionAdapter, StormToZ3Basic) {
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z3::context ctx;
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z3::solver s(ctx);
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z3::expr conjecture = ctx.bool_val(false);
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std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
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storm::adapters::Z3ExpressionAdapter adapter(*manager, ctx);
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storm::expressions::Expression exprTrue = manager->boolean(true);
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z3::expr z3True = ctx.bool_val(true);
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ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprTrue), z3True)));
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s.add(conjecture);
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ASSERT_TRUE(s.check() == z3::unsat);
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s.reset();
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storm::expressions::Expression exprFalse = manager->boolean(false);
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z3::expr z3False = ctx.bool_val(false);
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ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprFalse), z3False)));
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s.add(conjecture);
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ASSERT_TRUE(s.check() == z3::unsat);
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s.reset();
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storm::expressions::Variable x = manager->declareBooleanVariable("x");
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storm::expressions::Variable y = manager->declareBooleanVariable("y");
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storm::expressions::Expression exprConjunction = x && y;
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z3::expr z3Conjunction = (ctx.bool_const("x") && ctx.bool_const("y"));
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ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprConjunction), z3Conjunction)));
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s.add(conjecture);
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ASSERT_TRUE(s.check() == z3::unsat);
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s.reset();
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storm::expressions::Expression exprNor = !(x || y);
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z3::expr z3Nor = !(ctx.bool_const("x") || ctx.bool_const("y"));
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ASSERT_NO_THROW(adapter.translateExpression(exprNor)); // Variables already created in adapter.
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ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprNor), z3Nor)));
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s.add(conjecture);
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ASSERT_TRUE(s.check() == z3::unsat);
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s.reset();
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}
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TEST(Z3ExpressionAdapter, StormToZ3Integer) {
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z3::context ctx;
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z3::solver s(ctx);
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z3::expr conjecture = ctx.bool_val(false);
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std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
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storm::adapters::Z3ExpressionAdapter adapter(*manager, ctx);
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storm::expressions::Variable x = manager->declareIntegerVariable("x");
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storm::expressions::Variable y = manager->declareIntegerVariable("y");
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storm::expressions::Expression exprAdd = x + y < -y;
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z3::expr z3Add = (ctx.int_const("x") + ctx.int_const("y") < -ctx.int_const("y"));
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ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprAdd), z3Add)));
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s.add(conjecture);
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ASSERT_TRUE(s.check() == z3::unsat);
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s.reset();
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storm::expressions::Expression exprMult = !(x * y == y);
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z3::expr z3Mult = !(ctx.int_const("x") * ctx.int_const("y") == ctx.int_const("y"));
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ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprMult), z3Mult)));
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s.add(conjecture);
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ASSERT_TRUE(s.check() == z3::unsat);
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s.reset();
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}
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TEST(Z3ExpressionAdapter, StormToZ3Real) {
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z3::context ctx;
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z3::solver s(ctx);
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z3::expr conjecture = ctx.bool_val(false);
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std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
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storm::adapters::Z3ExpressionAdapter adapter(*manager, ctx);
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storm::expressions::Variable x = manager->declareRationalVariable("x");
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storm::expressions::Variable y = manager->declareRationalVariable("y");
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storm::expressions::Expression exprAdd = x + y < -y;
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z3::expr z3Add = (ctx.real_const("x") + ctx.real_const("y") < -ctx.real_const("y"));
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ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprAdd), z3Add)));
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s.add(conjecture);
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ASSERT_TRUE(s.check() == z3::unsat);
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s.reset();
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storm::expressions::Expression exprMult = !(x * y == y);
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z3::expr z3Mult = !(ctx.real_const("x") * ctx.real_const("y") == ctx.real_const("y"));
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ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprMult), z3Mult)));
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s.add(conjecture);
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ASSERT_TRUE(s.check() == z3::unsat);
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s.reset();
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}
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TEST(Z3ExpressionAdapter, StormToZ3FloorCeil) {
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z3::context ctx;
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z3::solver s(ctx);
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z3::expr conjecture = ctx.bool_val(false);
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std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
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storm::adapters::Z3ExpressionAdapter adapter(*manager, ctx);
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storm::expressions::Variable d = manager->declareRationalVariable("d");
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storm::expressions::Variable i = manager->declareIntegerVariable("i");
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storm::expressions::Expression exprFloor = storm::expressions::floor(d) == i && d > manager->rational(4.1) && d < manager->rational(4.991);
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z3::expr z3Floor = ctx.int_val(4) == ctx.int_const("i");
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conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprFloor), z3Floor));
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ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprFloor), z3Floor)));
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s.add(conjecture);
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// It is not logically equivalent, so this should be satisfiable.
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ASSERT_TRUE(s.check() == z3::sat);
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s.reset();
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ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_implies(ctx, adapter.translateExpression(exprFloor), z3Floor)));
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s.add(conjecture);
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// However, the left part implies the right one, which is why this should be unsatisfiable.
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ASSERT_TRUE(s.check() == z3::unsat);
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s.reset();
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storm::expressions::Expression exprCeil = storm::expressions::ceil(d) == i && d > manager->rational(4.1) && d < manager->rational(4.991);
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z3::expr z3Ceil = ctx.int_val(5) == ctx.int_const("i");
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ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprCeil), z3Ceil)));
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s.add(conjecture);
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// It is not logically equivalent, so this should be satisfiable.
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ASSERT_TRUE(s.check() == z3::sat);
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s.reset();
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ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_implies(ctx, adapter.translateExpression(exprCeil), z3Ceil)));
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s.add(conjecture);
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// However, the left part implies the right one, which is why this should be unsatisfiable.
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ASSERT_TRUE(s.check() == z3::unsat);
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s.reset();
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}
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TEST(Z3ExpressionAdapter, Z3ToStormBasic) {
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z3::context ctx;
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unsigned args = 2;
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std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
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manager->declareBooleanVariable("x");
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manager->declareBooleanVariable("y");
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storm::adapters::Z3ExpressionAdapter adapter(*manager, ctx);
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z3::expr z3True = ctx.bool_val(true);
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storm::expressions::Expression exprTrue;
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exprTrue = adapter.translateExpression(z3True);
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ASSERT_TRUE(exprTrue.isTrue());
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z3::expr z3False = ctx.bool_val(false);
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storm::expressions::Expression exprFalse;
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exprFalse = adapter.translateExpression(z3False);
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ASSERT_TRUE(exprFalse.isFalse());
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z3::expr z3Conjunction = (ctx.bool_const("x") && ctx.bool_const("y"));
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storm::expressions::Expression exprConjunction;
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(exprConjunction = adapter.translateExpression(z3Conjunction));
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ASSERT_EQ(storm::expressions::OperatorType::And, exprConjunction.getOperator());
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ASSERT_TRUE(exprConjunction.getOperand(0).isVariable());
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ASSERT_EQ("x", exprConjunction.getOperand(0).getIdentifier());
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ASSERT_TRUE(exprConjunction.getOperand(1).isVariable());
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ASSERT_EQ("y", exprConjunction.getOperand(1).getIdentifier());
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z3::expr z3Nor = !(ctx.bool_const("x") || ctx.bool_const("y"));
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storm::expressions::Expression exprNor;
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(exprNor = adapter.translateExpression(z3Nor));
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ASSERT_EQ(storm::expressions::OperatorType::Not, exprNor.getOperator());
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ASSERT_EQ(storm::expressions::OperatorType::Or, exprNor.getOperand(0).getOperator());
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ASSERT_TRUE(exprNor.getOperand(0).getOperand(0).isVariable());
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ASSERT_EQ("x", exprNor.getOperand(0).getOperand(0).getIdentifier());
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ASSERT_TRUE(exprNor.getOperand(0).getOperand(1).isVariable());
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ASSERT_EQ("y", exprNor.getOperand(0).getOperand(1).getIdentifier());
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}
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#endif
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