Storm
A Modern Probabilistic Model Checker
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MathsatExpressionAdapterTest.cpp
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1#include "storm-config.h"
2#include "test/storm_gtest.h"
3
4#ifdef STORM_HAVE_MSAT
5#include "mathsat.h"
6#include "storm/adapters/MathsatExpressionAdapter.h"
7#include "storm/settings/SettingsManager.h"
8#include "storm/storage/expressions/OperatorType.h"
9
10TEST(MathsatExpressionAdapter, StormToMathsatBasic) {
11 msat_config config = msat_create_config();
12 msat_env env = msat_create_env(config);
13 ASSERT_FALSE(MSAT_ERROR_ENV(env));
14 msat_destroy_config(config);
15
16 std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
17 storm::adapters::MathsatExpressionAdapter adapter(*manager, env);
18
19 storm::expressions::Expression exprTrue = manager->boolean(true);
20 msat_term msatTrue = msat_make_true(env);
21 msat_term conjecture;
22 ASSERT_NO_THROW(conjecture = msat_make_not(env, msat_make_iff(env, msatTrue, adapter.translateExpression(exprTrue))));
23 msat_assert_formula(env, conjecture);
24 ASSERT_TRUE(msat_solve(env) == msat_result::MSAT_UNSAT);
25 msat_reset_env(env);
26
27 storm::expressions::Expression exprFalse = manager->boolean(false);
28 msat_term msatFalse = msat_make_false(env);
29 ASSERT_NO_THROW(conjecture = msat_make_not(env, msat_make_iff(env, adapter.translateExpression(exprFalse), msatFalse)));
30 msat_assert_formula(env, conjecture);
31 ASSERT_TRUE(msat_solve(env) == msat_result::MSAT_UNSAT);
32 msat_reset_env(env);
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 msat_term msatConjunction = msat_make_and(env, msat_make_constant(env, msat_declare_function(env, "x", msat_get_bool_type(env))),
38 msat_make_constant(env, msat_declare_function(env, "y", msat_get_bool_type(env))));
39
40 ASSERT_NO_THROW(conjecture = msat_make_not(env, msat_make_iff(env, adapter.translateExpression(exprConjunction), msatConjunction)));
41 msat_assert_formula(env, conjecture);
42 ASSERT_TRUE(msat_solve(env) == msat_result::MSAT_UNSAT);
43 msat_reset_env(env);
44
45 storm::expressions::Expression exprNor = !(x || y);
46 msat_term msatNor = msat_make_not(env, msat_make_or(env, msat_make_constant(env, msat_declare_function(env, "x", msat_get_bool_type(env))),
47 msat_make_constant(env, msat_declare_function(env, "y", msat_get_bool_type(env)))));
48 ASSERT_NO_THROW(adapter.translateExpression(exprNor)); // Variables already created in adapter.
49 ASSERT_NO_THROW(conjecture = msat_make_not(env, msat_make_iff(env, adapter.translateExpression(exprNor), msatNor)));
50 msat_assert_formula(env, conjecture);
51 ASSERT_TRUE(msat_solve(env) == msat_result::MSAT_UNSAT);
52 msat_reset_env(env);
53}
54
55TEST(MathsatExpressionAdapter, StormToMathsatInteger) {
56 msat_config config = msat_create_config();
57 msat_env env = msat_create_env(config);
58 ASSERT_FALSE(MSAT_ERROR_ENV(env));
59 msat_destroy_config(config);
60
61 std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
62 storm::adapters::MathsatExpressionAdapter adapter(*manager, env);
63
64 storm::expressions::Variable x = manager->declareIntegerVariable("x");
65 storm::expressions::Variable y = manager->declareIntegerVariable("y");
66
67 storm::expressions::Expression exprAdd = x + y < -y;
68 msat_decl xDecl = msat_declare_function(env, "x", msat_get_integer_type(env));
69 msat_term xVar = msat_make_constant(env, xDecl);
70 msat_decl yDecl = msat_declare_function(env, "y", msat_get_integer_type(env));
71 msat_term yVar = msat_make_constant(env, yDecl);
72 msat_term minusY = msat_make_times(env, msat_make_number(env, "-1"), yVar);
73 msat_term msatAdd = msat_make_plus(env, xVar, yVar);
74 msat_term msatLess = msat_make_and(env, msat_make_leq(env, msatAdd, minusY), msat_make_not(env, msat_make_equal(env, msatAdd, minusY)));
75 msat_term conjecture;
76 ASSERT_NO_THROW(conjecture = msat_make_not(env, msat_make_iff(env, adapter.translateExpression(exprAdd), msatLess)));
77 msat_assert_formula(env, conjecture);
78 ASSERT_TRUE(msat_solve(env) == msat_result::MSAT_UNSAT);
79 msat_reset_env(env);
80
81 storm::expressions::Expression exprMult = !(x * y == y);
82 msat_term msatTimes = msat_make_times(env, xVar, yVar);
83 msat_term msatNotEqual = msat_make_not(env, msat_make_equal(env, msatTimes, yVar));
84 ASSERT_NO_THROW(conjecture = msat_make_not(env, msat_make_iff(env, adapter.translateExpression(exprMult), msatNotEqual)));
85 msat_assert_formula(env, conjecture);
86 ASSERT_TRUE(msat_solve(env) == msat_result::MSAT_UNSAT);
87 msat_reset_env(env);
88}
89
90TEST(MathsatExpressionAdapter, StormToMathsatReal) {
91 msat_config config = msat_create_config();
92 msat_env env = msat_create_env(config);
93 ASSERT_FALSE(MSAT_ERROR_ENV(env));
94 msat_destroy_config(config);
95
96 std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
97 storm::adapters::MathsatExpressionAdapter adapter(*manager, env);
98
99 storm::expressions::Variable x = manager->declareRationalVariable("x");
100 storm::expressions::Variable y = manager->declareRationalVariable("y");
101
102 storm::expressions::Expression exprAdd = x + y < -y;
103 msat_decl xDecl = msat_declare_function(env, "x", msat_get_rational_type(env));
104 msat_term xVar = msat_make_constant(env, xDecl);
105 msat_decl yDecl = msat_declare_function(env, "y", msat_get_rational_type(env));
106 msat_term yVar = msat_make_constant(env, yDecl);
107 msat_term minusY = msat_make_times(env, msat_make_number(env, "-1"), yVar);
108 msat_term msatAdd = msat_make_plus(env, xVar, yVar);
109 msat_term msatLess = msat_make_and(env, msat_make_leq(env, msatAdd, minusY), msat_make_not(env, msat_make_equal(env, msatAdd, minusY)));
110 msat_term conjecture;
111 ASSERT_NO_THROW(conjecture = msat_make_not(env, msat_make_iff(env, adapter.translateExpression(exprAdd), msatLess)));
112 msat_assert_formula(env, conjecture);
113 ASSERT_TRUE(msat_solve(env) == msat_result::MSAT_UNSAT);
114 msat_reset_env(env);
115
116 storm::expressions::Expression exprMult = !(x * y == y);
117 msat_term msatTimes = msat_make_times(env, xVar, yVar);
118 msat_term msatNotEqual = msat_make_not(env, msat_make_equal(env, msatTimes, yVar));
119 ASSERT_NO_THROW(conjecture = msat_make_not(env, msat_make_iff(env, adapter.translateExpression(exprMult), msatNotEqual)));
120 msat_assert_formula(env, conjecture);
121 ASSERT_TRUE(msat_solve(env) == msat_result::MSAT_UNSAT);
122 msat_reset_env(env);
123}
124
125TEST(MathsatExpressionAdapter, StormToMathsatFloorCeil) {
126 msat_config config = msat_create_config();
127 msat_env env = msat_create_env(config);
128 ASSERT_FALSE(MSAT_ERROR_ENV(env));
129 msat_destroy_config(config);
130
131 std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
132 storm::adapters::MathsatExpressionAdapter adapter(*manager, env);
133
134 storm::expressions::Variable d = manager->declareRationalVariable("d");
135 storm::expressions::Variable i = manager->declareIntegerVariable("i");
136
137 storm::expressions::Expression exprFloor = storm::expressions::floor(d) == i && d > manager->rational(4.1) && d < manager->rational(4.991);
138 msat_decl iDecl = msat_declare_function(env, "i", msat_get_integer_type(env));
139 msat_term iVar = msat_make_constant(env, iDecl);
140 msat_term msatEqualsFour = msat_make_equal(env, msat_make_number(env, "4"), iVar);
141 msat_term conjecture;
142 msat_term translatedExpr = adapter.translateExpression(exprFloor);
143 msat_term msatIff = msat_make_iff(env, translatedExpr, msatEqualsFour);
144 ASSERT_NO_THROW(conjecture = msat_make_not(env, msatIff));
145 msat_assert_formula(env, conjecture);
146
147 // It is not logically equivalent, so this should be satisfiable.
148 ASSERT_TRUE(msat_solve(env) == msat_result::MSAT_SAT);
149 msat_reset_env(env);
150 ASSERT_NO_THROW(conjecture = msat_make_not(env, msat_make_or(env, msat_make_not(env, adapter.translateExpression(exprFloor)), msatEqualsFour)));
151 msat_assert_formula(env, conjecture);
152
153 // However, the left part implies the right one, which is why this should be unsatisfiable.
154 ASSERT_TRUE(msat_solve(env) == msat_result::MSAT_UNSAT);
155 msat_reset_env(env);
156
157 storm::expressions::Expression exprCeil = storm::expressions::ceil(d) == i && d > manager->rational(4.1) && d < manager->rational(4.991);
158 msat_term msatEqualsFive = msat_make_equal(env, msat_make_number(env, "5"), iVar);
159
160 ASSERT_NO_THROW(conjecture = msat_make_not(env, msat_make_iff(env, adapter.translateExpression(exprFloor), msatEqualsFive)));
161 msat_assert_formula(env, conjecture);
162
163 // It is not logically equivalent, so this should be satisfiable.
164 ASSERT_TRUE(msat_solve(env) == msat_result::MSAT_SAT);
165 msat_reset_env(env);
166 ASSERT_NO_THROW(conjecture = msat_make_or(env, msat_make_not(env, adapter.translateExpression(exprFloor)), msatEqualsFive));
167 msat_assert_formula(env, conjecture);
168 msat_reset_env(env);
169}
170
171TEST(MathsatExpressionAdapter, MathsatToStormBasic) {
172 msat_config config = msat_create_config();
173 msat_env env = msat_create_env(config);
174 ASSERT_FALSE(MSAT_ERROR_ENV(env));
175 msat_destroy_config(config);
176
177 std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
178 manager->declareBooleanVariable("x");
179 manager->declareBooleanVariable("y");
180 storm::adapters::MathsatExpressionAdapter adapter(*manager, env);
181
182 msat_term msatTrue = msat_make_true(env);
183 storm::expressions::Expression exprTrue;
184 ASSERT_NO_THROW(exprTrue = adapter.translateExpression(msatTrue));
185 ASSERT_TRUE(exprTrue.isTrue());
186
187 msat_term msatFalse = msat_make_false(env);
188 storm::expressions::Expression exprFalse;
189 ASSERT_NO_THROW(exprTrue = adapter.translateExpression(msatFalse));
190 ASSERT_TRUE(exprTrue.isFalse());
191
192 msat_decl xDecl = msat_declare_function(env, "x", msat_get_bool_type(env));
193 msat_term x = msat_make_constant(env, xDecl);
194 msat_decl yDecl = msat_declare_function(env, "y", msat_get_bool_type(env));
195 msat_term y = msat_make_constant(env, yDecl);
196 msat_term msatConjunction = msat_make_and(env, x, y);
197 storm::expressions::Expression exprConjunction;
198 ASSERT_NO_THROW(exprConjunction = adapter.translateExpression(msatConjunction));
199 ASSERT_EQ(storm::expressions::OperatorType::And, exprConjunction.getOperator());
200 ASSERT_TRUE(exprConjunction.getOperand(0).isVariable());
201 ASSERT_EQ("x", exprConjunction.getOperand(0).getIdentifier());
202 ASSERT_TRUE(exprConjunction.getOperand(1).isVariable());
203 ASSERT_EQ("y", exprConjunction.getOperand(1).getIdentifier());
204
205 msat_term msatNor = msat_make_not(env, msat_make_or(env, x, y));
206 storm::expressions::Expression exprNor;
207 ASSERT_NO_THROW(exprNor = adapter.translateExpression(msatNor));
208 ASSERT_EQ(storm::expressions::OperatorType::Not, exprNor.getOperator());
209 ASSERT_EQ(storm::expressions::OperatorType::Or, exprNor.getOperand(0).getOperator());
210 ASSERT_TRUE(exprNor.getOperand(0).getOperand(0).isVariable());
211 ASSERT_EQ("x", exprNor.getOperand(0).getOperand(0).getIdentifier());
212 ASSERT_TRUE(exprNor.getOperand(0).getOperand(1).isVariable());
213 ASSERT_EQ("y", exprNor.getOperand(0).getOperand(1).getIdentifier());
214}
215#endif
TEST
TEST(OrderTest, Simple)
Definition OrderTest.cpp:8
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