//===-- Solver.cpp --------------------------------------------------------===// // // The KLEE Symbolic Virtual Machine // // This file is distributed under the University of Illinois Open Source // License. See LICENSE.TXT for details. // //===----------------------------------------------------------------------===// #include "klee/Solver.h" #include "klee/SolverImpl.h" #include "SolverStats.h" #include "STPBuilder.h" #include "klee/Constraints.h" #include "klee/Expr.h" #include "klee/TimerStatIncrementer.h" #include "klee/util/Assignment.h" #include "klee/util/ExprPPrinter.h" #include "klee/util/ExprUtil.h" #include "klee/Internal/Support/Timer.h" #define vc_bvBoolExtract IAMTHESPAWNOFSATAN #include #include #include #include #include #include #include #include using namespace klee; /***/ const char *Solver::validity_to_str(Validity v) { switch (v) { default: return "Unknown"; case True: return "True"; case False: return "False"; } } Solver::~Solver() { delete impl; } SolverImpl::~SolverImpl() { } bool Solver::evaluate(const Query& query, Validity &result) { assert(query.expr->getWidth() == Expr::Bool && "Invalid expression type!"); // Maintain invariants implementations expect. if (ConstantExpr *CE = dyn_cast(query.expr)) { result = CE->getConstantValue() ? True : False; return true; } return impl->computeValidity(query, result); } bool SolverImpl::computeValidity(const Query& query, Solver::Validity &result) { bool isTrue, isFalse; if (!computeTruth(query, isTrue)) return false; if (isTrue) { result = Solver::True; } else { if (!computeTruth(query.negateExpr(), isFalse)) return false; result = isFalse ? Solver::False : Solver::Unknown; } return true; } bool Solver::mustBeTrue(const Query& query, bool &result) { assert(query.expr->getWidth() == Expr::Bool && "Invalid expression type!"); // Maintain invariants implementations expect. if (ConstantExpr *CE = dyn_cast(query.expr)) { result = CE->getConstantValue() ? true : false; return true; } return impl->computeTruth(query, result); } bool Solver::mustBeFalse(const Query& query, bool &result) { return mustBeTrue(query.negateExpr(), result); } bool Solver::mayBeTrue(const Query& query, bool &result) { bool res; if (!mustBeFalse(query, res)) return false; result = !res; return true; } bool Solver::mayBeFalse(const Query& query, bool &result) { bool res; if (!mustBeTrue(query, res)) return false; result = !res; return true; } bool Solver::getValue(const Query& query, ref &result) { // Maintain invariants implementation expect. if (ConstantExpr *CE = dyn_cast(query.expr)) { result = CE; return true; } // FIXME: Push ConstantExpr requirement down. ref tmp; if (!impl->computeValue(query, tmp)) return false; result = cast(tmp); return true; } bool Solver::getInitialValues(const Query& query, const std::vector &objects, std::vector< std::vector > &values) { bool hasSolution; bool success = impl->computeInitialValues(query, objects, values, hasSolution); // FIXME: Propogate this out. if (!hasSolution) return false; return success; } std::pair< ref, ref > Solver::getRange(const Query& query) { ref e = query.expr; Expr::Width width = e->getWidth(); uint64_t min, max; if (width==1) { Solver::Validity result; if (!evaluate(query, result)) assert(0 && "computeValidity failed"); switch (result) { case Solver::True: min = max = 1; break; case Solver::False: min = max = 0; break; default: min = 0, max = 1; break; } } else if (ConstantExpr *CE = dyn_cast(e)) { min = max = CE->getConstantValue(); } else { // binary search for # of useful bits uint64_t lo=0, hi=width, mid, bits=0; while (lo &result); bool computeInitialValues(const Query&, const std::vector &objects, std::vector< std::vector > &values, bool &hasSolution); }; bool ValidatingSolver::computeTruth(const Query& query, bool &isValid) { bool answer; if (!solver->impl->computeTruth(query, isValid)) return false; if (!oracle->impl->computeTruth(query, answer)) return false; if (isValid != answer) assert(0 && "invalid solver result (computeTruth)"); return true; } bool ValidatingSolver::computeValidity(const Query& query, Solver::Validity &result) { Solver::Validity answer; if (!solver->impl->computeValidity(query, result)) return false; if (!oracle->impl->computeValidity(query, answer)) return false; if (result != answer) assert(0 && "invalid solver result (computeValidity)"); return true; } bool ValidatingSolver::computeValue(const Query& query, ref &result) { bool answer; if (!solver->impl->computeValue(query, result)) return false; // We don't want to compare, but just make sure this is a legal // solution. if (!oracle->impl->computeTruth(query.withExpr(NeExpr::create(query.expr, result)), answer)) return false; if (answer) assert(0 && "invalid solver result (computeValue)"); return true; } bool ValidatingSolver::computeInitialValues(const Query& query, const std::vector &objects, std::vector< std::vector > &values, bool &hasSolution) { bool answer; if (!solver->impl->computeInitialValues(query, objects, values, hasSolution)) return false; if (hasSolution) { // Assert the bindings as constraints, and verify that the // conjunction of the actual constraints is satisfiable. std::vector< ref > bindings; for (unsigned i = 0; i != values.size(); ++i) { const Array *array = objects[i]; for (unsigned j=0; jsize; j++) { unsigned char value = values[i][j]; bindings.push_back(EqExpr::create(ReadExpr::create(UpdateList(array, true, 0), ConstantExpr::alloc(j, Expr::Int32)), ConstantExpr::alloc(value, Expr::Int8))); } } ConstraintManager tmp(bindings); ref constraints = Expr::createNot(query.expr); for (ConstraintManager::const_iterator it = query.constraints.begin(), ie = query.constraints.end(); it != ie; ++it) constraints = AndExpr::create(constraints, *it); if (!oracle->impl->computeTruth(Query(tmp, constraints), answer)) return false; if (!answer) assert(0 && "invalid solver result (computeInitialValues)"); } else { if (!oracle->impl->computeTruth(query, answer)) return false; if (!answer) assert(0 && "invalid solver result (computeInitialValues)"); } return true; } Solver *klee::createValidatingSolver(Solver *s, Solver *oracle) { return new Solver(new ValidatingSolver(s, oracle)); } /***/ class DummySolverImpl : public SolverImpl { public: DummySolverImpl() {} bool computeValidity(const Query&, Solver::Validity &result) { ++stats::queries; // FIXME: We should have stats::queriesFail; return false; } bool computeTruth(const Query&, bool &isValid) { ++stats::queries; // FIXME: We should have stats::queriesFail; return false; } bool computeValue(const Query&, ref &result) { ++stats::queries; ++stats::queryCounterexamples; return false; } bool computeInitialValues(const Query&, const std::vector &objects, std::vector< std::vector > &values, bool &hasSolution) { ++stats::queries; ++stats::queryCounterexamples; return false; } }; Solver *klee::createDummySolver() { return new Solver(new DummySolverImpl()); } /***/ class STPSolverImpl : public SolverImpl { private: /// The solver we are part of, for access to public information. STPSolver *solver; VC vc; STPBuilder *builder; double timeout; bool useForkedSTP; public: STPSolverImpl(STPSolver *_solver, bool _useForkedSTP); ~STPSolverImpl(); char *getConstraintLog(const Query&); void setTimeout(double _timeout) { timeout = _timeout; } bool computeTruth(const Query&, bool &isValid); bool computeValue(const Query&, ref &result); bool computeInitialValues(const Query&, const std::vector &objects, std::vector< std::vector > &values, bool &hasSolution); }; static unsigned char *shared_memory_ptr; static const unsigned shared_memory_size = 1<<20; static int shared_memory_id; static void stp_error_handler(const char* err_msg) { fprintf(stderr, "error: STP Error: %s\n", err_msg); abort(); } STPSolverImpl::STPSolverImpl(STPSolver *_solver, bool _useForkedSTP) : solver(_solver), vc(vc_createValidityChecker()), builder(new STPBuilder(vc)), timeout(0.0), useForkedSTP(_useForkedSTP) { assert(vc && "unable to create validity checker"); assert(builder && "unable to create STPBuilder"); vc_registerErrorHandler(::stp_error_handler); if (useForkedSTP) { shared_memory_id = shmget(IPC_PRIVATE, shared_memory_size, IPC_CREAT | 0700); assert(shared_memory_id>=0 && "shmget failed"); shared_memory_ptr = (unsigned char*) shmat(shared_memory_id, NULL, 0); assert(shared_memory_ptr!=(void*)-1 && "shmat failed"); shmctl(shared_memory_id, IPC_RMID, NULL); } } STPSolverImpl::~STPSolverImpl() { delete builder; vc_Destroy(vc); } /***/ STPSolver::STPSolver(bool useForkedSTP) : Solver(new STPSolverImpl(this, useForkedSTP)) { } char *STPSolver::getConstraintLog(const Query &query) { return static_cast(impl)->getConstraintLog(query); } void STPSolver::setTimeout(double timeout) { static_cast(impl)->setTimeout(timeout); } /***/ char *STPSolverImpl::getConstraintLog(const Query &query) { vc_push(vc); for (std::vector< ref >::const_iterator it = query.constraints.begin(), ie = query.constraints.end(); it != ie; ++it) vc_assertFormula(vc, builder->construct(*it)); assert(query.expr == ConstantExpr::alloc(0, Expr::Bool) && "Unexpected expression in query!"); char *buffer; unsigned long length; vc_printQueryStateToBuffer(vc, builder->getFalse(), &buffer, &length, false); vc_pop(vc); return buffer; } bool STPSolverImpl::computeTruth(const Query& query, bool &isValid) { std::vector objects; std::vector< std::vector > values; bool hasSolution; if (!computeInitialValues(query, objects, values, hasSolution)) return false; isValid = !hasSolution; return true; } bool STPSolverImpl::computeValue(const Query& query, ref &result) { std::vector objects; std::vector< std::vector > values; bool hasSolution; // Find the object used in the expression, and compute an assignment // for them. findSymbolicObjects(query.expr, objects); if (!computeInitialValues(query.withFalse(), objects, values, hasSolution)) return false; assert(hasSolution && "state has invalid constraint set"); // Evaluate the expression with the computed assignment. Assignment a(objects, values); result = a.evaluate(query.expr); return true; } static void runAndGetCex(::VC vc, STPBuilder *builder, ::VCExpr q, const std::vector &objects, std::vector< std::vector > &values, bool &hasSolution) { // XXX I want to be able to timeout here, safely hasSolution = !vc_query(vc, q); if (hasSolution) { values.reserve(objects.size()); for (std::vector::const_iterator it = objects.begin(), ie = objects.end(); it != ie; ++it) { const Array *array = *it; std::vector data; data.reserve(array->size); for (unsigned offset = 0; offset < array->size; offset++) { ExprHandle counter = vc_getCounterExample(vc, builder->getInitialRead(array, offset)); unsigned char val = getBVUnsigned(counter); data.push_back(val); } values.push_back(data); } } } static void stpTimeoutHandler(int x) { _exit(52); } static bool runAndGetCexForked(::VC vc, STPBuilder *builder, ::VCExpr q, const std::vector &objects, std::vector< std::vector > &values, bool &hasSolution, double timeout) { unsigned char *pos = shared_memory_ptr; unsigned sum = 0; for (std::vector::const_iterator it = objects.begin(), ie = objects.end(); it != ie; ++it) sum += (*it)->size; assert(sum::const_iterator it = objects.begin(), ie = objects.end(); it != ie; ++it) { const Array *array = *it; for (unsigned offset = 0; offset < array->size; offset++) { ExprHandle counter = vc_getCounterExample(vc, builder->getInitialRead(array, offset)); *pos++ = getBVUnsigned(counter); } } } _exit(res); } else { int status; int res = waitpid(pid, &status, 0); if (res<0) { fprintf(stderr, "error: waitpid() for STP failed"); return false; } // From timed_run.py: It appears that linux at least will on // "occasion" return a status when the process was terminated by a // signal, so test signal first. if (WIFSIGNALED(status) || !WIFEXITED(status)) { fprintf(stderr, "error: STP did not return successfully"); return false; } int exitcode = WEXITSTATUS(status); if (exitcode==0) { hasSolution = true; } else if (exitcode==1) { hasSolution = false; } else if (exitcode==52) { fprintf(stderr, "error: STP timed out"); return false; } else { fprintf(stderr, "error: STP did not return a recognized code"); return false; } if (hasSolution) { values = std::vector< std::vector >(objects.size()); unsigned i=0; for (std::vector::const_iterator it = objects.begin(), ie = objects.end(); it != ie; ++it) { const Array *array = *it; std::vector &data = values[i++]; data.insert(data.begin(), pos, pos + array->size); pos += array->size; } } return true; } } bool STPSolverImpl::computeInitialValues(const Query &query, const std::vector &objects, std::vector< std::vector > &values, bool &hasSolution) { TimerStatIncrementer t(stats::queryTime); vc_push(vc); for (ConstraintManager::const_iterator it = query.constraints.begin(), ie = query.constraints.end(); it != ie; ++it) vc_assertFormula(vc, builder->construct(*it)); ++stats::queries; ++stats::queryCounterexamples; ExprHandle stp_e = builder->construct(query.expr); bool success; if (useForkedSTP) { success = runAndGetCexForked(vc, builder, stp_e, objects, values, hasSolution, timeout); } else { runAndGetCex(vc, builder, stp_e, objects, values, hasSolution); success = true; } if (success) { if (hasSolution) ++stats::queriesInvalid; else ++stats::queriesValid; } vc_pop(vc); return success; }