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path: root/libsolidity/formal/SMTChecker.cpp
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-rw-r--r--libsolidity/formal/SMTChecker.cpp265
1 files changed, 208 insertions, 57 deletions
diff --git a/libsolidity/formal/SMTChecker.cpp b/libsolidity/formal/SMTChecker.cpp
index 1050621e..a64024b3 100644
--- a/libsolidity/formal/SMTChecker.cpp
+++ b/libsolidity/formal/SMTChecker.cpp
@@ -55,7 +55,7 @@ void SMTChecker::analyze(SourceUnit const& _source)
void SMTChecker::endVisit(VariableDeclaration const& _varDecl)
{
if (_varDecl.isLocalVariable() && _varDecl.type()->isValueType() &&_varDecl.value())
- assignment(_varDecl, *_varDecl.value());
+ assignment(_varDecl, *_varDecl.value(), _varDecl.location());
}
bool SMTChecker::visit(FunctionDefinition const& _function)
@@ -71,6 +71,7 @@ bool SMTChecker::visit(FunctionDefinition const& _function)
m_interface->reset();
m_currentSequenceCounter.clear();
m_nextFreeSequenceCounter.clear();
+ m_pathConditions.clear();
m_conditionalExecutionHappened = false;
initializeLocalVariables(_function);
return true;
@@ -90,15 +91,16 @@ bool SMTChecker::visit(IfStatement const& _node)
checkBooleanNotConstant(_node.condition(), "Condition is always $VALUE.");
- visitBranch(_node.trueStatement(), expr(_node.condition()));
+ auto countersEndFalse = m_currentSequenceCounter;
+ auto countersEndTrue = visitBranch(_node.trueStatement(), expr(_node.condition()));
vector<Declaration const*> touchedVariables = m_variableUsage->touchedVariables(_node.trueStatement());
if (_node.falseStatement())
{
- visitBranch(*_node.falseStatement(), !expr(_node.condition()));
+ countersEndFalse = visitBranch(*_node.falseStatement(), !expr(_node.condition()));
touchedVariables += m_variableUsage->touchedVariables(*_node.falseStatement());
}
- resetVariables(touchedVariables);
+ mergeVariables(touchedVariables, expr(_node.condition()), countersEndTrue, countersEndFalse);
return false;
}
@@ -178,8 +180,7 @@ void SMTChecker::endVisit(VariableDeclarationStatement const& _varDecl)
else if (knownVariable(*_varDecl.declarations()[0]))
{
if (_varDecl.initialValue())
- // TODO more checks?
- assignment(*_varDecl.declarations()[0], *_varDecl.initialValue());
+ assignment(*_varDecl.declarations()[0], *_varDecl.initialValue(), _varDecl.location());
}
else
m_errorReporter.warning(
@@ -208,7 +209,10 @@ void SMTChecker::endVisit(Assignment const& _assignment)
{
Declaration const* decl = identifier->annotation().referencedDeclaration;
if (knownVariable(*decl))
- assignment(*decl, _assignment.rightHandSide());
+ {
+ assignment(*decl, _assignment.rightHandSide(), _assignment.location());
+ defineExpr(_assignment, expr(_assignment.rightHandSide()));
+ }
else
m_errorReporter.warning(
_assignment.location(),
@@ -230,7 +234,81 @@ void SMTChecker::endVisit(TupleExpression const& _tuple)
"Assertion checker does not yet implement tules and inline arrays."
);
else
- m_interface->addAssertion(expr(_tuple) == expr(*_tuple.components()[0]));
+ defineExpr(_tuple, expr(*_tuple.components()[0]));
+}
+
+void SMTChecker::checkUnderOverflow(smt::Expression _value, IntegerType const& _type, SourceLocation const& _location)
+{
+ checkCondition(
+ _value < minValue(_type),
+ _location,
+ "Underflow (resulting value less than " + formatNumber(_type.minValue()) + ")",
+ "value",
+ &_value
+ );
+ checkCondition(
+ _value > maxValue(_type),
+ _location,
+ "Overflow (resulting value larger than " + formatNumber(_type.maxValue()) + ")",
+ "value",
+ &_value
+ );
+}
+
+void SMTChecker::endVisit(UnaryOperation const& _op)
+{
+ switch (_op.getOperator())
+ {
+ case Token::Not: // !
+ {
+ solAssert(_op.annotation().type->category() == Type::Category::Bool, "");
+ defineExpr(_op, !expr(_op.subExpression()));
+ break;
+ }
+ case Token::Inc: // ++ (pre- or postfix)
+ case Token::Dec: // -- (pre- or postfix)
+ {
+ solAssert(_op.annotation().type->category() == Type::Category::Integer, "");
+ solAssert(_op.subExpression().annotation().lValueRequested, "");
+ if (Identifier const* identifier = dynamic_cast<Identifier const*>(&_op.subExpression()))
+ {
+ Declaration const* decl = identifier->annotation().referencedDeclaration;
+ if (knownVariable(*decl))
+ {
+ auto innerValue = currentValue(*decl);
+ auto newValue = _op.getOperator() == Token::Inc ? innerValue + 1 : innerValue - 1;
+ assignment(*decl, newValue, _op.location());
+ defineExpr(_op, _op.isPrefixOperation() ? newValue : innerValue);
+ }
+ else
+ m_errorReporter.warning(
+ _op.location(),
+ "Assertion checker does not yet implement such assignments."
+ );
+ }
+ else
+ m_errorReporter.warning(
+ _op.location(),
+ "Assertion checker does not yet implement such increments / decrements."
+ );
+ break;
+ }
+ case Token::Add: // +
+ defineExpr(_op, expr(_op.subExpression()));
+ break;
+ case Token::Sub: // -
+ {
+ defineExpr(_op, 0 - expr(_op.subExpression()));
+ if (auto intType = dynamic_cast<IntegerType const*>(_op.annotation().type.get()))
+ checkUnderOverflow(expr(_op), *intType, _op.location());
+ break;
+ }
+ default:
+ m_errorReporter.warning(
+ _op.location(),
+ "Assertion checker does not yet implement this operator."
+ );
+ }
}
void SMTChecker::endVisit(BinaryOperation const& _op)
@@ -268,16 +346,14 @@ void SMTChecker::endVisit(FunctionCall const& _funCall)
solAssert(args.size() == 1, "");
solAssert(args[0]->annotation().type->category() == Type::Category::Bool, "");
checkCondition(!(expr(*args[0])), _funCall.location(), "Assertion violation");
- m_interface->addAssertion(expr(*args[0]));
+ addPathImpliedExpression(expr(*args[0]));
}
else if (funType.kind() == FunctionType::Kind::Require)
{
solAssert(args.size() == 1, "");
solAssert(args[0]->annotation().type->category() == Type::Category::Bool, "");
- m_interface->addAssertion(expr(*args[0]));
- checkCondition(!(expr(*args[0])), _funCall.location(), "Unreachable code");
- // TODO is there something meaningful we can check here?
- // We can check whether the condition is always fulfilled or never fulfilled.
+ checkBooleanNotConstant(*args[0], "Condition is always $VALUE.");
+ addPathImpliedExpression(expr(*args[0]));
}
}
@@ -290,7 +366,7 @@ void SMTChecker::endVisit(Identifier const& _identifier)
// Will be translated as part of the node that requested the lvalue.
}
else if (dynamic_cast<IntegerType const*>(_identifier.annotation().type.get()))
- m_interface->addAssertion(expr(_identifier) == currentValue(*decl));
+ defineExpr(_identifier, currentValue(*decl));
else if (FunctionType const* fun = dynamic_cast<FunctionType const*>(_identifier.annotation().type.get()))
{
if (fun->kind() == FunctionType::Kind::Assert || fun->kind() == FunctionType::Kind::Require)
@@ -306,10 +382,10 @@ void SMTChecker::endVisit(Literal const& _literal)
if (RationalNumberType const* rational = dynamic_cast<RationalNumberType const*>(&type))
solAssert(!rational->isFractional(), "");
- m_interface->addAssertion(expr(_literal) == smt::Expression(type.literalValue(&_literal)));
+ defineExpr(_literal, smt::Expression(type.literalValue(&_literal)));
}
else if (type.category() == Type::Category::Bool)
- m_interface->addAssertion(expr(_literal) == smt::Expression(_literal.token() == Token::TrueLiteral ? true : false));
+ defineExpr(_literal, smt::Expression(_literal.token() == Token::TrueLiteral ? true : false));
else
m_errorReporter.warning(
_literal.location(),
@@ -326,36 +402,30 @@ void SMTChecker::arithmeticOperation(BinaryOperation const& _op)
case Token::Add:
case Token::Sub:
case Token::Mul:
+ case Token::Div:
{
solAssert(_op.annotation().commonType, "");
solAssert(_op.annotation().commonType->category() == Type::Category::Integer, "");
+ auto const& intType = dynamic_cast<IntegerType const&>(*_op.annotation().commonType);
smt::Expression left(expr(_op.leftExpression()));
smt::Expression right(expr(_op.rightExpression()));
Token::Value op = _op.getOperator();
smt::Expression value(
op == Token::Add ? left + right :
op == Token::Sub ? left - right :
+ op == Token::Div ? division(left, right, intType) :
/*op == Token::Mul*/ left * right
);
- // Overflow check
- auto const& intType = dynamic_cast<IntegerType const&>(*_op.annotation().commonType);
- checkCondition(
- value < minValue(intType),
- _op.location(),
- "Underflow (resulting value less than " + formatNumber(intType.minValue()) + ")",
- "value",
- &value
- );
- checkCondition(
- value > maxValue(intType),
- _op.location(),
- "Overflow (resulting value larger than " + formatNumber(intType.maxValue()) + ")",
- "value",
- &value
- );
+ if (_op.getOperator() == Token::Div)
+ {
+ checkCondition(right == 0, _op.location(), "Division by zero", "value", &right);
+ m_interface->addAssertion(right != 0);
+ }
+
+ checkUnderOverflow(value, intType, _op.location());
- m_interface->addAssertion(expr(_op) == value);
+ defineExpr(_op, value);
break;
}
default:
@@ -383,7 +453,7 @@ void SMTChecker::compareOperation(BinaryOperation const& _op)
/*op == Token::GreaterThanOrEqual*/ (left >= right)
);
// TODO: check that other values for op are not possible.
- m_interface->addAssertion(expr(_op) == value);
+ defineExpr(_op, value);
}
else
m_errorReporter.warning(
@@ -400,9 +470,9 @@ void SMTChecker::booleanOperation(BinaryOperation const& _op)
{
// @TODO check that both of them are not constant
if (_op.getOperator() == Token::And)
- m_interface->addAssertion(expr(_op) == expr(_op.leftExpression()) && expr(_op.rightExpression()));
+ defineExpr(_op, expr(_op.leftExpression()) && expr(_op.rightExpression()));
else
- m_interface->addAssertion(expr(_op) == expr(_op.leftExpression()) || expr(_op.rightExpression()));
+ defineExpr(_op, expr(_op.leftExpression()) || expr(_op.rightExpression()));
}
else
m_errorReporter.warning(
@@ -411,30 +481,50 @@ void SMTChecker::booleanOperation(BinaryOperation const& _op)
);
}
-void SMTChecker::assignment(Declaration const& _variable, Expression const& _value)
+smt::Expression SMTChecker::division(smt::Expression _left, smt::Expression _right, IntegerType const& _type)
{
- // TODO more checks?
- // TODO add restrictions about type (might be assignment from smaller type)
- m_interface->addAssertion(newValue(_variable) == expr(_value));
+ // Signed division in SMTLIB2 rounds differently for negative division.
+ if (_type.isSigned())
+ return (smt::Expression::ite(
+ _left >= 0,
+ smt::Expression::ite(_right >= 0, _left / _right, 0 - (_left / (0 - _right))),
+ smt::Expression::ite(_right >= 0, 0 - ((0 - _left) / _right), (0 - _left) / (0 - _right))
+ ));
+ else
+ return _left / _right;
+}
+
+void SMTChecker::assignment(Declaration const& _variable, Expression const& _value, SourceLocation const& _location)
+{
+ assignment(_variable, expr(_value), _location);
}
-void SMTChecker::visitBranch(Statement const& _statement, smt::Expression _condition)
+void SMTChecker::assignment(Declaration const& _variable, smt::Expression const& _value, SourceLocation const& _location)
{
- visitBranch(_statement, &_condition);
+ TypePointer type = _variable.type();
+ if (auto const* intType = dynamic_cast<IntegerType const*>(type.get()))
+ checkUnderOverflow(_value, *intType, _location);
+ m_interface->addAssertion(newValue(_variable) == _value);
}
-void SMTChecker::visitBranch(Statement const& _statement, smt::Expression const* _condition)
+SMTChecker::VariableSequenceCounters SMTChecker::visitBranch(Statement const& _statement, smt::Expression _condition)
+{
+ return visitBranch(_statement, &_condition);
+}
+
+SMTChecker::VariableSequenceCounters SMTChecker::visitBranch(Statement const& _statement, smt::Expression const* _condition)
{
VariableSequenceCounters sequenceCountersStart = m_currentSequenceCounter;
- m_interface->push();
if (_condition)
- m_interface->addAssertion(*_condition);
+ pushPathCondition(*_condition);
_statement.accept(*this);
- m_interface->pop();
+ if (_condition)
+ popPathCondition();
m_conditionalExecutionHappened = true;
- m_currentSequenceCounter = sequenceCountersStart;
+ std::swap(sequenceCountersStart, m_currentSequenceCounter);
+ return sequenceCountersStart;
}
void SMTChecker::checkCondition(
@@ -446,7 +536,7 @@ void SMTChecker::checkCondition(
)
{
m_interface->push();
- m_interface->addAssertion(_condition);
+ addPathConjoinedExpression(_condition);
vector<smt::Expression> expressionsToEvaluate;
vector<string> expressionNames;
@@ -472,7 +562,7 @@ void SMTChecker::checkCondition(
}
smt::CheckResult result;
vector<string> values;
- tie(result, values) = checkSatisifableAndGenerateModel(expressionsToEvaluate);
+ tie(result, values) = checkSatisfiableAndGenerateModel(expressionsToEvaluate);
string conditionalComment;
if (m_conditionalExecutionHappened)
@@ -518,13 +608,13 @@ void SMTChecker::checkBooleanNotConstant(Expression const& _condition, string co
return;
m_interface->push();
- m_interface->addAssertion(expr(_condition));
- auto positiveResult = checkSatisifable();
+ addPathConjoinedExpression(expr(_condition));
+ auto positiveResult = checkSatisfiable();
m_interface->pop();
m_interface->push();
- m_interface->addAssertion(!expr(_condition));
- auto negatedResult = checkSatisifable();
+ addPathConjoinedExpression(!expr(_condition));
+ auto negatedResult = checkSatisfiable();
m_interface->pop();
if (positiveResult == smt::CheckResult::ERROR || negatedResult == smt::CheckResult::ERROR)
@@ -554,7 +644,7 @@ void SMTChecker::checkBooleanNotConstant(Expression const& _condition, string co
}
pair<smt::CheckResult, vector<string>>
-SMTChecker::checkSatisifableAndGenerateModel(vector<smt::Expression> const& _expressionsToEvaluate)
+SMTChecker::checkSatisfiableAndGenerateModel(vector<smt::Expression> const& _expressionsToEvaluate)
{
smt::CheckResult result;
vector<string> values;
@@ -584,9 +674,9 @@ SMTChecker::checkSatisifableAndGenerateModel(vector<smt::Expression> const& _exp
return make_pair(result, values);
}
-smt::CheckResult SMTChecker::checkSatisifable()
+smt::CheckResult SMTChecker::checkSatisfiable()
{
- return checkSatisifableAndGenerateModel({}).first;
+ return checkSatisfiableAndGenerateModel({}).first;
}
void SMTChecker::initializeLocalVariables(FunctionDefinition const& _function)
@@ -614,6 +704,22 @@ void SMTChecker::resetVariables(vector<Declaration const*> _variables)
}
}
+void SMTChecker::mergeVariables(vector<Declaration const*> const& _variables, smt::Expression const& _condition, VariableSequenceCounters const& _countersEndTrue, VariableSequenceCounters const& _countersEndFalse)
+{
+ set<Declaration const*> uniqueVars(_variables.begin(), _variables.end());
+ for (auto const* decl: uniqueVars)
+ {
+ int trueCounter = _countersEndTrue.at(decl);
+ int falseCounter = _countersEndFalse.at(decl);
+ solAssert(trueCounter != falseCounter, "");
+ m_interface->addAssertion(newValue(*decl) == smt::Expression::ite(
+ _condition,
+ valueAtSequence(*decl, trueCounter),
+ valueAtSequence(*decl, falseCounter))
+ );
+ }
+}
+
bool SMTChecker::createVariable(VariableDeclaration const& _varDecl)
{
if (dynamic_cast<IntegerType const*>(_varDecl.type().get()))
@@ -696,6 +802,18 @@ smt::Expression SMTChecker::expr(Expression const& _e)
{
if (!m_expressions.count(&_e))
{
+ m_errorReporter.warning(_e.location(), "Internal error: Expression undefined for SMT solver." );
+ createExpr(_e);
+ }
+ return m_expressions.at(&_e);
+}
+
+void SMTChecker::createExpr(Expression const& _e)
+{
+ if (m_expressions.count(&_e))
+ m_errorReporter.warning(_e.location(), "Internal error: Expression created twice in SMT solver." );
+ else
+ {
solAssert(_e.annotation().type, "");
switch (_e.annotation().type->category())
{
@@ -716,7 +834,12 @@ smt::Expression SMTChecker::expr(Expression const& _e)
solAssert(false, "Type not implemented.");
}
}
- return m_expressions.at(&_e);
+}
+
+void SMTChecker::defineExpr(Expression const& _e, smt::Expression _value)
+{
+ createExpr(_e);
+ m_interface->addAssertion(expr(_e) == _value);
}
smt::Expression SMTChecker::var(Declaration const& _decl)
@@ -724,3 +847,31 @@ smt::Expression SMTChecker::var(Declaration const& _decl)
solAssert(m_variables.count(&_decl), "");
return m_variables.at(&_decl);
}
+
+void SMTChecker::popPathCondition()
+{
+ solAssert(m_pathConditions.size() > 0, "Cannot pop path condition, empty.");
+ m_pathConditions.pop_back();
+}
+
+void SMTChecker::pushPathCondition(smt::Expression const& _e)
+{
+ m_pathConditions.push_back(currentPathConditions() && _e);
+}
+
+smt::Expression SMTChecker::currentPathConditions()
+{
+ if (m_pathConditions.size() == 0)
+ return smt::Expression(true);
+ return m_pathConditions.back();
+}
+
+void SMTChecker::addPathConjoinedExpression(smt::Expression const& _e)
+{
+ m_interface->addAssertion(currentPathConditions() && _e);
+}
+
+void SMTChecker::addPathImpliedExpression(smt::Expression const& _e)
+{
+ m_interface->addAssertion(smt::Expression::implies(currentPathConditions(), _e));
+}