//===-- CexCachingSolver.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/Constraints.h" #include "klee/Expr.h" #include "klee/SolverImpl.h" #include "klee/TimerStatIncrementer.h" #include "klee/util/Assignment.h" #include "klee/util/ExprUtil.h" #include "klee/util/ExprVisitor.h" #include "klee/Internal/ADT/MapOfSets.h" #include "SolverStats.h" #include "llvm/Support/CommandLine.h" using namespace klee; using namespace llvm; namespace { cl::opt DebugCexCacheCheckBinding("debug-cex-cache-check-binding"); cl::opt CexCacheTryAll("cex-cache-try-all", cl::desc("try substituting all counterexamples before asking STP"), cl::init(false)); cl::opt CexCacheExperimental("cex-cache-exp", cl::init(false)); } /// typedef std::set< ref > KeyType; struct AssignmentLessThan { bool operator()(const Assignment *a, const Assignment *b) { return a->bindings < b->bindings; } }; class CexCachingSolver : public SolverImpl { typedef std::set assignmentsTable_ty; Solver *solver; MapOfSets, Assignment*> cache; // memo table assignmentsTable_ty assignmentsTable; bool searchForAssignment(KeyType &key, Assignment *&result); bool lookupAssignment(const Query& query, KeyType &key, Assignment *&result); bool lookupAssignment(const Query& query, Assignment *&result) { KeyType key; return lookupAssignment(query, key, result); } bool getAssignment(const Query& query, Assignment *&result); public: CexCachingSolver(Solver *_solver) : solver(_solver) {} ~CexCachingSolver(); bool computeTruth(const Query&, bool &isValid); bool computeValidity(const Query&, Solver::Validity &result); bool computeValue(const Query&, ref &result); bool computeInitialValues(const Query&, const std::vector &objects, std::vector< std::vector > &values, bool &hasSolution); SolverRunStatus getOperationStatusCode(); }; /// struct NullAssignment { bool operator()(Assignment *a) const { return !a; } }; struct NonNullAssignment { bool operator()(Assignment *a) const { return a!=0; } }; struct NullOrSatisfyingAssignment { KeyType &key; NullOrSatisfyingAssignment(KeyType &_key) : key(_key) {} bool operator()(Assignment *a) const { return !a || a->satisfies(key.begin(), key.end()); } }; /// searchForAssignment - Look for a cached solution for a query. /// /// \param key - The query to look up. /// \param result [out] - The cached result, if the lookup is succesful. This is /// either a satisfying assignment (for a satisfiable query), or 0 (for an /// unsatisfiable query). /// \return - True if a cached result was found. bool CexCachingSolver::searchForAssignment(KeyType &key, Assignment *&result) { Assignment * const *lookup = cache.lookup(key); if (lookup) { result = *lookup; return true; } if (CexCacheTryAll) { // Look for a satisfying assignment for a superset, which is trivially an // assignment for any subset. Assignment **lookup = cache.findSuperset(key, NonNullAssignment()); // Otherwise, look for a subset which is unsatisfiable, see below. if (!lookup) lookup = cache.findSubset(key, NullAssignment()); // If either lookup succeeded, then we have a cached solution. if (lookup) { result = *lookup; return true; } // Otherwise, iterate through the set of current assignments to see if one // of them satisfies the query. for (assignmentsTable_ty::iterator it = assignmentsTable.begin(), ie = assignmentsTable.end(); it != ie; ++it) { Assignment *a = *it; if (a->satisfies(key.begin(), key.end())) { result = a; return true; } } } else { // FIXME: Which order? one is sure to be better. // Look for a satisfying assignment for a superset, which is trivially an // assignment for any subset. Assignment **lookup = cache.findSuperset(key, NonNullAssignment()); // Otherwise, look for a subset which is unsatisfiable -- if the subset is // unsatisfiable then no additional constraints can produce a valid // assignment. While searching subsets, we also explicitly the solutions for // satisfiable subsets to see if they solve the current query and return // them if so. This is cheap and frequently succeeds. if (!lookup) lookup = cache.findSubset(key, NullOrSatisfyingAssignment(key)); // If either lookup succeeded, then we have a cached solution. if (lookup) { result = *lookup; return true; } } return false; } /// lookupAssignment - Lookup a cached result for the given \arg query. /// /// \param query - The query to lookup. /// \param key [out] - On return, the key constructed for the query. /// \param result [out] - The cached result, if the lookup is succesful. This is /// either a satisfying assignment (for a satisfiable query), or 0 (for an /// unsatisfiable query). /// \return True if a cached result was found. bool CexCachingSolver::lookupAssignment(const Query &query, KeyType &key, Assignment *&result) { key = KeyType(query.constraints.begin(), query.constraints.end()); ref neg = Expr::createIsZero(query.expr); if (ConstantExpr *CE = dyn_cast(neg)) { if (CE->isFalse()) { result = (Assignment*) 0; ++stats::queryCexCacheHits; return true; } } else { key.insert(neg); } bool found = searchForAssignment(key, result); if (found) ++stats::queryCexCacheHits; else ++stats::queryCexCacheMisses; return found; } bool CexCachingSolver::getAssignment(const Query& query, Assignment *&result) { KeyType key; if (lookupAssignment(query, key, result)) return true; std::vector objects; findSymbolicObjects(key.begin(), key.end(), objects); std::vector< std::vector > values; bool hasSolution; if (!solver->impl->computeInitialValues(query, objects, values, hasSolution)) return false; Assignment *binding; if (hasSolution) { binding = new Assignment(objects, values); // Memoize the result. std::pair res = assignmentsTable.insert(binding); if (!res.second) { delete binding; binding = *res.first; } if (DebugCexCacheCheckBinding) assert(binding->satisfies(key.begin(), key.end())); } else { binding = (Assignment*) 0; } result = binding; cache.insert(key, binding); return true; } /// CexCachingSolver::~CexCachingSolver() { cache.clear(); delete solver; for (assignmentsTable_ty::iterator it = assignmentsTable.begin(), ie = assignmentsTable.end(); it != ie; ++it) delete *it; } bool CexCachingSolver::computeValidity(const Query& query, Solver::Validity &result) { TimerStatIncrementer t(stats::cexCacheTime); Assignment *a; if (!getAssignment(query.withFalse(), a)) return false; assert(a && "computeValidity() must have assignment"); ref q = a->evaluate(query.expr); assert(isa(q) && "assignment evaluation did not result in constant"); if (cast(q)->isTrue()) { if (!getAssignment(query, a)) return false; result = !a ? Solver::True : Solver::Unknown; } else { if (!getAssignment(query.negateExpr(), a)) return false; result = !a ? Solver::False : Solver::Unknown; } return true; } bool CexCachingSolver::computeTruth(const Query& query, bool &isValid) { TimerStatIncrementer t(stats::cexCacheTime); // There is a small amount of redundancy here. We only need to know // truth and do not really need to compute an assignment. This means // that we could check the cache to see if we already know that // state ^ query has no assignment. In that case, by the validity of // state, we know that state ^ !query must have an assignment, and // so query cannot be true (valid). This does get hits, but doesn't // really seem to be worth the overhead. if (CexCacheExperimental) { Assignment *a; if (lookupAssignment(query.negateExpr(), a) && !a) return false; } Assignment *a; if (!getAssignment(query, a)) return false; isValid = !a; return true; } bool CexCachingSolver::computeValue(const Query& query, ref &result) { TimerStatIncrementer t(stats::cexCacheTime); Assignment *a; if (!getAssignment(query.withFalse(), a)) return false; assert(a && "computeValue() must have assignment"); result = a->evaluate(query.expr); assert(isa(result) && "assignment evaluation did not result in constant"); return true; } bool CexCachingSolver::computeInitialValues(const Query& query, const std::vector &objects, std::vector< std::vector > &values, bool &hasSolution) { TimerStatIncrementer t(stats::cexCacheTime); Assignment *a; if (!getAssignment(query, a)) return false; hasSolution = !!a; if (!a) return true; // FIXME: We should use smarter assignment for result so we don't // need redundant copy. values = std::vector< std::vector >(objects.size()); for (unsigned i=0; i < objects.size(); ++i) { const Array *os = objects[i]; Assignment::bindings_ty::iterator it = a->bindings.find(os); if (it == a->bindings.end()) { values[i] = std::vector(os->size, 0); } else { values[i] = it->second; } } return true; } SolverImpl::SolverRunStatus CexCachingSolver::getOperationStatusCode() { return solver->impl->getOperationStatusCode(); } /// Solver *klee::createCexCachingSolver(Solver *_solver) { return new Solver(new CexCachingSolver(_solver)); }