Storm 1.11.1.1
A Modern Probabilistic Model Checker
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Z3ExpressionAdapterTest.cpp
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1#include "storm-config.h"
2#include "test/storm_gtest.h"
3
4#include <memory>
5
6#ifdef STORM_HAVE_Z3
7#include "storm/adapters/Z3ExpressionAdapter.h"
8#include "storm/settings/SettingsManager.h"
9#include "storm/storage/expressions/ExpressionManager.h"
10#include "storm/storage/expressions/OperatorType.h"
11
12TEST(Z3ExpressionAdapter, StormToZ3Basic) {
13 z3::context ctx;
14 z3::solver s(ctx);
15 z3::expr conjecture = ctx.bool_val(false);
16
17 std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
18 storm::adapters::Z3ExpressionAdapter adapter(*manager, ctx);
19
20 storm::expressions::Expression exprTrue = manager->boolean(true);
21 z3::expr z3True = ctx.bool_val(true);
22 ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprTrue), z3True)));
23 s.add(conjecture);
24 ASSERT_TRUE(s.check() == z3::unsat);
25 s.reset();
26
27 storm::expressions::Expression exprFalse = manager->boolean(false);
28 z3::expr z3False = ctx.bool_val(false);
29 ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprFalse), z3False)));
30 s.add(conjecture);
31 ASSERT_TRUE(s.check() == z3::unsat);
32 s.reset();
33
34 storm::expressions::Variable x = manager->declareBooleanVariable("x");
35 storm::expressions::Variable y = manager->declareBooleanVariable("y");
36 storm::expressions::Expression exprConjunction = x && y;
37 z3::expr z3Conjunction = (ctx.bool_const("x") && ctx.bool_const("y"));
38
39 ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprConjunction), z3Conjunction)));
40 s.add(conjecture);
41 ASSERT_TRUE(s.check() == z3::unsat);
42 s.reset();
43
44 storm::expressions::Expression exprNor = !(x || y);
45 z3::expr z3Nor = !(ctx.bool_const("x") || ctx.bool_const("y"));
46 ASSERT_NO_THROW(adapter.translateExpression(exprNor)); // Variables already created in adapter.
47 ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprNor), z3Nor)));
48 s.add(conjecture);
49 ASSERT_TRUE(s.check() == z3::unsat);
50 s.reset();
51}
52
53TEST(Z3ExpressionAdapter, StormToZ3Integer) {
54 z3::context ctx;
55 z3::solver s(ctx);
56 z3::expr conjecture = ctx.bool_val(false);
57
58 std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
59 storm::adapters::Z3ExpressionAdapter adapter(*manager, ctx);
60
61 storm::expressions::Variable x = manager->declareIntegerVariable("x");
62 storm::expressions::Variable y = manager->declareIntegerVariable("y");
63
64 storm::expressions::Expression exprAdd = x + y < -y;
65 z3::expr z3Add = (ctx.int_const("x") + ctx.int_const("y") < -ctx.int_const("y"));
66 ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprAdd), z3Add)));
67 s.add(conjecture);
68 ASSERT_TRUE(s.check() == z3::unsat);
69 s.reset();
70
71 storm::expressions::Expression exprMult = !(x * y == y);
72 z3::expr z3Mult = !(ctx.int_const("x") * ctx.int_const("y") == ctx.int_const("y"));
73 ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprMult), z3Mult)));
74 s.add(conjecture);
75 ASSERT_TRUE(s.check() == z3::unsat);
76 s.reset();
77}
78
79TEST(Z3ExpressionAdapter, StormToZ3Real) {
80 z3::context ctx;
81 z3::solver s(ctx);
82 z3::expr conjecture = ctx.bool_val(false);
83
84 std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
85 storm::adapters::Z3ExpressionAdapter adapter(*manager, ctx);
86
87 storm::expressions::Variable x = manager->declareRationalVariable("x");
88 storm::expressions::Variable y = manager->declareRationalVariable("y");
89
90 storm::expressions::Expression exprAdd = x + y < -y;
91 z3::expr z3Add = (ctx.real_const("x") + ctx.real_const("y") < -ctx.real_const("y"));
92 ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprAdd), z3Add)));
93 s.add(conjecture);
94 ASSERT_TRUE(s.check() == z3::unsat);
95 s.reset();
96
97 storm::expressions::Expression exprMult = !(x * y == y);
98 z3::expr z3Mult = !(ctx.real_const("x") * ctx.real_const("y") == ctx.real_const("y"));
99 ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprMult), z3Mult)));
100 s.add(conjecture);
101 ASSERT_TRUE(s.check() == z3::unsat);
102 s.reset();
103}
104
105TEST(Z3ExpressionAdapter, StormToZ3FloorCeil) {
106 z3::context ctx;
107 z3::solver s(ctx);
108 z3::expr conjecture = ctx.bool_val(false);
109
110 std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
111 storm::adapters::Z3ExpressionAdapter adapter(*manager, ctx);
112
113 storm::expressions::Variable d = manager->declareRationalVariable("d");
114 storm::expressions::Variable i = manager->declareIntegerVariable("i");
115
116 storm::expressions::Expression exprFloor = storm::expressions::floor(d) == i && d > manager->rational(4.1) && d < manager->rational(4.991);
117 z3::expr z3Floor = ctx.int_val(4) == ctx.int_const("i");
118
119 conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprFloor), z3Floor));
120 ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprFloor), z3Floor)));
121 s.add(conjecture);
122
123 // It is not logically equivalent, so this should be satisfiable.
124 ASSERT_TRUE(s.check() == z3::sat);
125 s.reset();
126 ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_implies(ctx, adapter.translateExpression(exprFloor), z3Floor)));
127 s.add(conjecture);
128
129 // However, the left part implies the right one, which is why this should be unsatisfiable.
130 ASSERT_TRUE(s.check() == z3::unsat);
131 s.reset();
132
133 storm::expressions::Expression exprCeil = storm::expressions::ceil(d) == i && d > manager->rational(4.1) && d < manager->rational(4.991);
134 z3::expr z3Ceil = ctx.int_val(5) == ctx.int_const("i");
135
136 ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_iff(ctx, adapter.translateExpression(exprCeil), z3Ceil)));
137 s.add(conjecture);
138 // It is not logically equivalent, so this should be satisfiable.
139 ASSERT_TRUE(s.check() == z3::sat);
140 s.reset();
141 ASSERT_NO_THROW(conjecture = !z3::expr(ctx, Z3_mk_implies(ctx, adapter.translateExpression(exprCeil), z3Ceil)));
142 s.add(conjecture);
143
144 // However, the left part implies the right one, which is why this should be unsatisfiable.
145 ASSERT_TRUE(s.check() == z3::unsat);
146 s.reset();
147}
148
149TEST(Z3ExpressionAdapter, Z3ToStormBasic) {
150 z3::context ctx;
151
152 std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
153 manager->declareBooleanVariable("x");
154 manager->declareBooleanVariable("y");
155 storm::adapters::Z3ExpressionAdapter adapter(*manager, ctx);
156
157 z3::expr z3True = ctx.bool_val(true);
158 storm::expressions::Expression exprTrue;
159 exprTrue = adapter.translateExpression(z3True);
160 ASSERT_TRUE(exprTrue.isTrue());
161
162 z3::expr z3False = ctx.bool_val(false);
163 storm::expressions::Expression exprFalse;
164 exprFalse = adapter.translateExpression(z3False);
165 ASSERT_TRUE(exprFalse.isFalse());
166
167 z3::expr z3Conjunction = (ctx.bool_const("x") && ctx.bool_const("y"));
168 storm::expressions::Expression exprConjunction;
169 (exprConjunction = adapter.translateExpression(z3Conjunction));
170 ASSERT_EQ(storm::expressions::OperatorType::And, exprConjunction.getOperator());
171 ASSERT_TRUE(exprConjunction.getOperand(0).isVariable());
172 ASSERT_EQ("x", exprConjunction.getOperand(0).getIdentifier());
173 ASSERT_TRUE(exprConjunction.getOperand(1).isVariable());
174 ASSERT_EQ("y", exprConjunction.getOperand(1).getIdentifier());
175
176 z3::expr z3Nor = !(ctx.bool_const("x") || ctx.bool_const("y"));
177 storm::expressions::Expression exprNor;
178 (exprNor = adapter.translateExpression(z3Nor));
179 ASSERT_EQ(storm::expressions::OperatorType::Not, exprNor.getOperator());
180 ASSERT_EQ(storm::expressions::OperatorType::Or, exprNor.getOperand(0).getOperator());
181 ASSERT_TRUE(exprNor.getOperand(0).getOperand(0).isVariable());
182 ASSERT_EQ("x", exprNor.getOperand(0).getOperand(0).getIdentifier());
183 ASSERT_TRUE(exprNor.getOperand(0).getOperand(1).isVariable());
184 ASSERT_EQ("y", exprNor.getOperand(0).getOperand(1).getIdentifier());
185}
186#endif
TEST
TEST(OrderTest, Simple)
Definition OrderTest.cpp:15
storm::expressions::Expression::isVariable
bool isVariable() const
Retrieves whether the expression is a variable.
Definition Expression.cpp:114
storm::expressions::Expression::getOperator
OperatorType getOperator() const
Retrieves the operator of a function application.
Definition Expression.cpp:86
storm::expressions::Expression::getOperand
Expression getOperand(uint_fast64_t operandIndex) const
Retrieves the given operand from the expression.
Definition Expression.cpp:98
storm::expressions::Expression::getIdentifier
std::string const & getIdentifier() const
Retrieves the identifier associated with this expression.
Definition Expression.cpp:102
storm::expressions::Expression::isFalse
bool isFalse() const
Checks if the expression is equal to the boolean literal false.
Definition Expression.cpp:122
storm::expressions::Expression::isTrue
bool isTrue() const
Checks if the expression is equal to the boolean literal true.
Definition Expression.cpp:118
storm::expressions::ExpressionManager
This class is responsible for managing a set of typed variables and all expressions using these varia...
Definition ExpressionManager.h:72
storm::expressions::ceil
Expression ceil(Expression const &first)
Definition Expression.cpp:468
storm::expressions::floor
Expression floor(Expression const &first)
Definition Expression.cpp:461
storm::settings::manager
SettingsManager const & manager()
Retrieves the settings manager.
Definition SettingsManager.cpp:662
storm_gtest.h