solidity/libsmtutil/Z3Interface.cpp

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/*
This file is part of solidity.
solidity is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
solidity is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with solidity. If not, see <http://www.gnu.org/licenses/>.
*/
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#include <libsmtutil/Z3Interface.h>
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#include <libsolutil/CommonIO.h>
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using namespace std;
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using namespace solidity::smtutil;
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Z3Interface::Z3Interface():
m_solver(m_context)
{
// These need to be set globally.
z3::set_param("rewriter.pull_cheap_ite", true);
z3::set_param("rlimit", resourceLimit);
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}
void Z3Interface::reset()
{
m_constants.clear();
m_functions.clear();
m_solver.reset();
}
void Z3Interface::push()
{
m_solver.push();
}
void Z3Interface::pop()
{
m_solver.pop();
}
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void Z3Interface::declareVariable(string const& _name, SortPointer const& _sort)
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{
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smtAssert(_sort, "");
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if (_sort->kind == Kind::Function)
declareFunction(_name, *_sort);
else if (m_constants.count(_name))
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m_constants.at(_name) = m_context.constant(_name.c_str(), z3Sort(*_sort));
else
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m_constants.emplace(_name, m_context.constant(_name.c_str(), z3Sort(*_sort)));
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}
void Z3Interface::declareFunction(string const& _name, Sort const& _sort)
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{
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smtAssert(_sort.kind == Kind::Function, "");
FunctionSort fSort = dynamic_cast<FunctionSort const&>(_sort);
if (m_functions.count(_name))
m_functions.at(_name) = m_context.function(_name.c_str(), z3Sort(fSort.domain), z3Sort(*fSort.codomain));
else
m_functions.emplace(_name, m_context.function(_name.c_str(), z3Sort(fSort.domain), z3Sort(*fSort.codomain)));
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}
void Z3Interface::addAssertion(Expression const& _expr)
{
m_solver.add(toZ3Expr(_expr));
}
pair<CheckResult, vector<string>> Z3Interface::check(vector<Expression> const& _expressionsToEvaluate)
{
CheckResult result;
vector<string> values;
try
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{
switch (m_solver.check())
{
case z3::check_result::sat:
result = CheckResult::SATISFIABLE;
break;
case z3::check_result::unsat:
result = CheckResult::UNSATISFIABLE;
break;
case z3::check_result::unknown:
result = CheckResult::UNKNOWN;
break;
}
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if (result == CheckResult::SATISFIABLE && !_expressionsToEvaluate.empty())
{
z3::model m = m_solver.get_model();
for (Expression const& e: _expressionsToEvaluate)
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values.push_back(util::toString(m.eval(toZ3Expr(e))));
}
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}
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catch (z3::exception const&)
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{
result = CheckResult::ERROR;
values.clear();
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}
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return make_pair(result, values);
}
z3::expr Z3Interface::toZ3Expr(Expression const& _expr)
{
if (_expr.arguments.empty() && m_constants.count(_expr.name))
return m_constants.at(_expr.name);
z3::expr_vector arguments(m_context);
for (auto const& arg: _expr.arguments)
arguments.push_back(toZ3Expr(arg));
try
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{
string const& n = _expr.name;
if (m_functions.count(n))
return m_functions.at(n)(arguments);
else if (m_constants.count(n))
{
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smtAssert(arguments.empty(), "");
return m_constants.at(n);
}
else if (arguments.empty())
{
if (n == "true")
return m_context.bool_val(true);
else if (n == "false")
return m_context.bool_val(false);
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else if (_expr.sort->kind == Kind::Sort)
{
auto sortSort = dynamic_pointer_cast<SortSort>(_expr.sort);
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smtAssert(sortSort, "");
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return m_context.constant(n.c_str(), z3Sort(*sortSort->inner));
}
else
try
{
return m_context.int_val(n.c_str());
}
catch (z3::exception const& _e)
{
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smtAssert(false, _e.msg());
}
}
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smtAssert(_expr.hasCorrectArity(), "");
if (n == "ite")
return z3::ite(arguments[0], arguments[1], arguments[2]);
else if (n == "not")
return !arguments[0];
else if (n == "and")
return arguments[0] && arguments[1];
else if (n == "or")
return arguments[0] || arguments[1];
else if (n == "implies")
return z3::implies(arguments[0], arguments[1]);
else if (n == "=")
return arguments[0] == arguments[1];
else if (n == "<")
return arguments[0] < arguments[1];
else if (n == "<=")
return arguments[0] <= arguments[1];
else if (n == ">")
return arguments[0] > arguments[1];
else if (n == ">=")
return arguments[0] >= arguments[1];
else if (n == "+")
return arguments[0] + arguments[1];
else if (n == "-")
return arguments[0] - arguments[1];
else if (n == "*")
return arguments[0] * arguments[1];
else if (n == "/")
return arguments[0] / arguments[1];
else if (n == "mod")
return z3::mod(arguments[0], arguments[1]);
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else if (n == "bvand")
return arguments[0] & arguments[1];
else if (n == "int2bv")
{
size_t size = std::stoi(_expr.arguments[1].name);
return z3::int2bv(size, arguments[0]);
}
else if (n == "bv2int")
{
auto intSort = dynamic_pointer_cast<IntSort>(_expr.sort);
smtAssert(intSort, "");
return z3::bv2int(arguments[0], intSort->isSigned);
}
else if (n == "select")
return z3::select(arguments[0], arguments[1]);
else if (n == "store")
return z3::store(arguments[0], arguments[1], arguments[2]);
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else if (n == "const_array")
{
shared_ptr<SortSort> sortSort = std::dynamic_pointer_cast<SortSort>(_expr.arguments[0].sort);
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smtAssert(sortSort, "");
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auto arraySort = dynamic_pointer_cast<ArraySort>(sortSort->inner);
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smtAssert(arraySort && arraySort->domain, "");
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return z3::const_array(z3Sort(*arraySort->domain), arguments[1]);
}
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else if (n == "tuple_get")
{
size_t index = stoul(_expr.arguments[1].name);
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return z3::func_decl(m_context, Z3_get_tuple_sort_field_decl(m_context, z3Sort(*_expr.arguments[0].sort), index))(arguments[0]);
}
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else if (n == "tuple_constructor")
{
auto constructor = z3::func_decl(m_context, Z3_get_tuple_sort_mk_decl(m_context, z3Sort(*_expr.sort)));
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smtAssert(constructor.arity() == arguments.size(), "");
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z3::expr_vector args(m_context);
for (auto const& arg: arguments)
args.push_back(arg);
return constructor(args);
}
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smtAssert(false, "");
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}
catch (z3::exception const& _e)
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{
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smtAssert(false, _e.msg());
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}
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smtAssert(false, "");
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}
z3::sort Z3Interface::z3Sort(Sort const& _sort)
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{
switch (_sort.kind)
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{
case Kind::Bool:
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return m_context.bool_sort();
case Kind::Int:
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return m_context.int_sort();
case Kind::Array:
{
auto const& arraySort = dynamic_cast<ArraySort const&>(_sort);
return m_context.array_sort(z3Sort(*arraySort.domain), z3Sort(*arraySort.range));
}
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case Kind::Tuple:
{
auto const& tupleSort = dynamic_cast<TupleSort const&>(_sort);
vector<char const*> cMembers;
for (auto const& member: tupleSort.members)
cMembers.emplace_back(member.c_str());
/// Using this instead of the function below because with that one
/// we can't use `&sorts[0]` here.
vector<z3::sort> sorts;
for (auto const& sort: tupleSort.components)
sorts.push_back(z3Sort(*sort));
z3::func_decl_vector projs(m_context);
z3::func_decl tupleConstructor = m_context.tuple_sort(
tupleSort.name.c_str(),
tupleSort.members.size(),
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cMembers.data(),
sorts.data(),
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projs
);
return tupleConstructor.range();
}
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default:
break;
}
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smtAssert(false, "");
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// Cannot be reached.
return m_context.int_sort();
}
z3::sort_vector Z3Interface::z3Sort(vector<SortPointer> const& _sorts)
{
z3::sort_vector z3Sorts(m_context);
for (auto const& _sort: _sorts)
z3Sorts.push_back(z3Sort(*_sort));
return z3Sorts;
}