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authorchriseth <chris@ethereum.org>2017-07-14 03:08:24 +0800
committerchriseth <chris@ethereum.org>2017-08-23 23:37:35 +0800
commitab5e3a8f6d9b92cef521b6855bf7ab649ebf751f (patch)
tree94ccd6ddc97baca5c38d87aab63c108aee3760ac
parent4cea3d4aa44194e052520fea2f6d216675d3bd14 (diff)
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Introduce native Z3 support.
-rw-r--r--libsolidity/formal/Z3Interface.cpp179
-rw-r--r--libsolidity/formal/Z3Interface.h65
2 files changed, 244 insertions, 0 deletions
diff --git a/libsolidity/formal/Z3Interface.cpp b/libsolidity/formal/Z3Interface.cpp
new file mode 100644
index 00000000..0d59a3c7
--- /dev/null
+++ b/libsolidity/formal/Z3Interface.cpp
@@ -0,0 +1,179 @@
+/*
+ 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::SAT;
+ break;
+ case z3::check_result::unsat:
+ result = CheckResult::UNSAT;
+ break;
+ case z3::check_result::unknown:
+ result = CheckResult::UNKNOWN;
+ break;
+ default:
+ solAssert(false, "");
+ }
+
+ vector<string> values;
+ if (result != CheckResult::UNSAT)
+ {
+ 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{
+ {"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 == "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();
+}
diff --git a/libsolidity/formal/Z3Interface.h b/libsolidity/formal/Z3Interface.h
new file mode 100644
index 00000000..44d4bb2f
--- /dev/null
+++ b/libsolidity/formal/Z3Interface.h
@@ -0,0 +1,65 @@
+/*
+ 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/>.
+*/
+
+#pragma once
+
+#include <libsolidity/formal/SolverInterface.h>
+
+#include <boost/noncopyable.hpp>
+
+#include <z3++.h>
+
+namespace dev
+{
+namespace solidity
+{
+namespace smt
+{
+
+class Z3Interface: public SolverInterface, public boost::noncopyable
+{
+public:
+ Z3Interface();
+
+ void reset() override;
+
+ void push() override;
+ void pop() override;
+
+ Expression newFunction(std::string _name, Sort _domain, Sort _codomain) override;
+ Expression newInteger(std::string _name) override;
+ Expression newBool(std::string _name) override;
+
+ void addAssertion(Expression const& _expr) override;
+ std::pair<CheckResult, std::vector<std::string>> check(std::vector<Expression> const& _expressionsToEvaluate) override;
+
+private:
+ z3::expr toZ3Expr(Expression const& _expr);
+ z3::sort z3Sort(smt::Sort _sort);
+
+ std::string checkSatAndGetValuesCommand(std::vector<Expression> const& _expressionsToEvaluate);
+ std::vector<std::string> parseValues(std::string::const_iterator _start, std::string::const_iterator _end);
+
+ z3::context m_context;
+ z3::solver m_solver;
+ std::map<std::string, z3::expr> m_constants;
+ std::map<std::string, z3::func_decl> m_functions;
+};
+
+}
+}
+}