solidity/libsolidity/formal/Z3Interface.cpp

/*
	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/>.
*/

#include <libsolidity/formal/Z3Interface.h>

#include <libsolidity/interface/Exceptions.h>

#include <libdevcore/CommonIO.h>

using namespace std;
using namespace dev;
using namespace dev::solidity::smt;

Z3Interface::Z3Interface():
	m_solver(m_context)
{
}

void Z3Interface::reset()
{
	m_constants.clear();
	m_functions.clear();
	m_solver.reset();
}

void Z3Interface::push()
{
	m_solver.push();
}

void Z3Interface::pop()
{
	m_solver.pop();
}

Expression Z3Interface::newFunction(string _name, Sort _domain, Sort _codomain)
{
	m_functions.insert({_name, m_context.function(_name.c_str(), z3Sort(_domain), z3Sort(_codomain))});
	return SolverInterface::newFunction(move(_name), _domain, _codomain);
}

Expression Z3Interface::newInteger(string _name)
{
	m_constants.insert({_name, m_context.int_const(_name.c_str())});
	return SolverInterface::newInteger(move(_name));
}

Expression Z3Interface::newBool(string _name)
{
	m_constants.insert({_name, m_context.bool_const(_name.c_str())});
	return SolverInterface::newBool(std::move(_name));
}

void Z3Interface::addAssertion(Expression const& _expr)
{
	m_solver.add(toZ3Expr(_expr));
}

pair<CheckResult, vector<string>> Z3Interface::check(vector<Expression> const& _expressionsToEvaluate)
{
	CheckResult result;
	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;
	default:
		solAssert(false, "");
	}

	vector<string> values;
	if (result != CheckResult::UNSATISFIABLE)
	{
		z3::model m = m_solver.get_model();
		for (Expression const& e: _expressionsToEvaluate)
			values.push_back(toString(m.eval(toZ3Expr(e))));
	}
	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));

	static map<string, unsigned> arity{
		{"ite", 3},
		{"not", 1},
		{"and", 2},
		{"or", 2},
		{"=", 2},
		{"<", 2},
		{"<=", 2},
		{">", 2},
		{">=", 2},
		{"+", 2},
		{"-", 2},
		{"*", 2},
		{">=", 2}
	};
	string const& n = _expr.name;
	if (m_functions.count(n))
		return m_functions.at(n)(arguments);
	else if (m_constants.count(n))
	{
		solAssert(arguments.empty(), "");
		return m_constants.at(n);
	}
	else if (arguments.empty())
	{
		// We assume it is an integer...
		return m_context.int_val(n.c_str());
	}

	assert(arity.count(n) && arity.at(n) == arguments.size());
	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 == "=")
		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];
	// Cannot reach here.
	solAssert(false, "");
	return arguments[0];
}

z3::sort Z3Interface::z3Sort(Sort _sort)
{
	switch (_sort)
	{
	case Sort::Bool:
		return m_context.bool_sort();
	case Sort::Int:
		return m_context.int_sort();
	default:
		break;
	}
	solAssert(false, "");
	// Cannot be reached.
	return m_context.int_sort();
}