/* 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 . */ #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace solidity; using namespace solidity::util; using namespace solidity::frontend; using namespace solidity::smtutil; SMTLib2Interface::SMTLib2Interface( map const& _queryResponses, ReadCallback::Callback _smtCallback ): m_queryResponses(_queryResponses), m_smtCallback(std::move(_smtCallback)) { reset(); } void SMTLib2Interface::reset() { m_accumulatedOutput.clear(); m_accumulatedOutput.emplace_back(); m_variables.clear(); m_userSorts.clear(); write("(set-option :produce-models true)"); write("(set-logic ALL)"); } void SMTLib2Interface::push() { m_accumulatedOutput.emplace_back(); } void SMTLib2Interface::pop() { smtAssert(!m_accumulatedOutput.empty(), ""); m_accumulatedOutput.pop_back(); } void SMTLib2Interface::declareVariable(string const& _name, SortPointer const& _sort) { smtAssert(_sort, ""); if (_sort->kind == Kind::Function) declareFunction(_name, _sort); else if (!m_variables.count(_name)) { m_variables.emplace(_name, _sort); write("(declare-fun |" + _name + "| () " + toSmtLibSort(*_sort) + ')'); } } void SMTLib2Interface::declareFunction(string const& _name, SortPointer const& _sort) { smtAssert(_sort, ""); smtAssert(_sort->kind == Kind::Function, ""); // TODO Use domain and codomain as key as well if (!m_variables.count(_name)) { auto const& fSort = dynamic_pointer_cast(_sort); string domain = toSmtLibSort(fSort->domain); string codomain = toSmtLibSort(*fSort->codomain); m_variables.emplace(_name, _sort); write( "(declare-fun |" + _name + "| " + domain + " " + codomain + ")" ); } } void SMTLib2Interface::addAssertion(Expression const& _expr) { write("(assert " + toSExpr(_expr) + ")"); } pair> SMTLib2Interface::check(vector const& _expressionsToEvaluate) { string response = querySolver( boost::algorithm::join(m_accumulatedOutput, "\n") + checkSatAndGetValuesCommand(_expressionsToEvaluate) ); CheckResult result; // TODO proper parsing if (boost::starts_with(response, "sat\n")) result = CheckResult::SATISFIABLE; else if (boost::starts_with(response, "unsat\n")) result = CheckResult::UNSATISFIABLE; else if (boost::starts_with(response, "unknown\n")) result = CheckResult::UNKNOWN; else result = CheckResult::ERROR; vector values; if (result == CheckResult::SATISFIABLE && !_expressionsToEvaluate.empty()) values = parseValues(find(response.cbegin(), response.cend(), '\n'), response.cend()); return make_pair(result, values); } string SMTLib2Interface::toSExpr(Expression const& _expr) { if (_expr.arguments.empty()) return _expr.name; std::string sexpr = "("; if (_expr.name == "int2bv") { size_t size = std::stoul(_expr.arguments[1].name); auto arg = toSExpr(_expr.arguments.front()); auto int2bv = "(_ int2bv " + to_string(size) + ")"; // Some solvers treat all BVs as unsigned, so we need to manually apply 2's complement if needed. sexpr += string("ite ") + "(>= " + arg + " 0) " + "(" + int2bv + " " + arg + ") " + "(bvneg (" + int2bv + " (- " + arg + ")))"; } else if (_expr.name == "bv2int") { auto intSort = dynamic_pointer_cast(_expr.sort); smtAssert(intSort, ""); auto arg = toSExpr(_expr.arguments.front()); auto nat = "(bv2nat " + arg + ")"; if (!intSort->isSigned) return nat; auto bvSort = dynamic_pointer_cast(_expr.arguments.front().sort); smtAssert(bvSort, ""); auto size = to_string(bvSort->size); auto pos = to_string(bvSort->size - 1); // Some solvers treat all BVs as unsigned, so we need to manually apply 2's complement if needed. sexpr += string("ite ") + "(= ((_ extract " + pos + " " + pos + ")" + arg + ") #b0) " + nat + " " + "(- (bvneg " + arg + "))"; } else if (_expr.name == "const_array") { smtAssert(_expr.arguments.size() == 2, ""); auto sortSort = std::dynamic_pointer_cast(_expr.arguments.at(0).sort); smtAssert(sortSort, ""); auto arraySort = dynamic_pointer_cast(sortSort->inner); smtAssert(arraySort, ""); sexpr += "(as const " + toSmtLibSort(*arraySort) + ") "; sexpr += toSExpr(_expr.arguments.at(1)); } else if (_expr.name == "tuple_get") { smtAssert(_expr.arguments.size() == 2, ""); auto tupleSort = dynamic_pointer_cast(_expr.arguments.at(0).sort); size_t index = std::stoul(_expr.arguments.at(1).name); smtAssert(index < tupleSort->members.size(), ""); sexpr += "|" + tupleSort->members.at(index) + "| " + toSExpr(_expr.arguments.at(0)); } else if (_expr.name == "tuple_constructor") { auto tupleSort = dynamic_pointer_cast(_expr.sort); smtAssert(tupleSort, ""); sexpr += "|" + tupleSort->name + "|"; for (auto const& arg: _expr.arguments) sexpr += " " + toSExpr(arg); } else { sexpr += _expr.name; for (auto const& arg: _expr.arguments) sexpr += " " + toSExpr(arg); } sexpr += ")"; return sexpr; } string SMTLib2Interface::toSmtLibSort(Sort const& _sort) { switch (_sort.kind) { case Kind::Int: return "Int"; case Kind::Bool: return "Bool"; case Kind::Array: { auto const& arraySort = dynamic_cast(_sort); smtAssert(arraySort.domain && arraySort.range, ""); return "(Array " + toSmtLibSort(*arraySort.domain) + ' ' + toSmtLibSort(*arraySort.range) + ')'; } case Kind::Tuple: { auto const& tupleSort = dynamic_cast(_sort); string tupleName = "|" + tupleSort.name + "|"; if (!m_userSorts.count(tupleName)) { m_userSorts.insert(tupleName); string decl("(declare-datatypes ((" + tupleName + " 0)) (((" + tupleName); smtAssert(tupleSort.members.size() == tupleSort.components.size(), ""); for (unsigned i = 0; i < tupleSort.members.size(); ++i) decl += " (|" + tupleSort.members.at(i) + "| " + toSmtLibSort(*tupleSort.components.at(i)) + ")"; decl += "))))"; write(decl); } return tupleName; } default: smtAssert(false, "Invalid SMT sort"); } } string SMTLib2Interface::toSmtLibSort(vector const& _sorts) { string ssort("("); for (auto const& sort: _sorts) ssort += toSmtLibSort(*sort) + " "; ssort += ")"; return ssort; } void SMTLib2Interface::write(string _data) { smtAssert(!m_accumulatedOutput.empty(), ""); m_accumulatedOutput.back() += move(_data) + "\n"; } string SMTLib2Interface::checkSatAndGetValuesCommand(vector const& _expressionsToEvaluate) { string command; if (_expressionsToEvaluate.empty()) command = "(check-sat)\n"; else { // TODO make sure these are unique for (size_t i = 0; i < _expressionsToEvaluate.size(); i++) { auto const& e = _expressionsToEvaluate.at(i); smtAssert(e.sort->kind == Kind::Int || e.sort->kind == Kind::Bool, "Invalid sort for expression to evaluate."); command += "(declare-const |EVALEXPR_" + to_string(i) + "| " + (e.sort->kind == Kind::Int ? "Int" : "Bool") + ")\n"; command += "(assert (= |EVALEXPR_" + to_string(i) + "| " + toSExpr(e) + "))\n"; } command += "(check-sat)\n"; command += "(get-value ("; for (size_t i = 0; i < _expressionsToEvaluate.size(); i++) command += "|EVALEXPR_" + to_string(i) + "| "; command += "))\n"; } return command; } vector SMTLib2Interface::parseValues(string::const_iterator _start, string::const_iterator _end) { vector values; while (_start < _end) { auto valStart = find(_start, _end, ' '); if (valStart < _end) ++valStart; auto valEnd = find(valStart, _end, ')'); values.emplace_back(valStart, valEnd); _start = find(valEnd, _end, '('); } return values; } string SMTLib2Interface::querySolver(string const& _input) { h256 inputHash = keccak256(_input); if (m_queryResponses.count(inputHash)) return m_queryResponses.at(inputHash); if (m_smtCallback) { auto result = m_smtCallback(ReadCallback::kindString(ReadCallback::Kind::SMTQuery), _input); if (result.success) return result.responseOrErrorMessage; } m_unhandledQueries.push_back(_input); return "unknown\n"; }