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//===-- 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<bool>
DebugCexCacheCheckBinding("debug-cex-cache-check-binding");
cl::opt<bool>
CexCacheTryAll("cex-cache-try-all",
cl::desc("try substituting all counterexamples before asking the SMT solver"),
cl::init(false));
cl::opt<bool>
CexCacheExperimental("cex-cache-exp", cl::init(false));
}
///
typedef std::set< ref<Expr> > KeyType;
struct AssignmentLessThan {
bool operator()(const Assignment *a, const Assignment *b) {
return a->bindings < b->bindings;
}
};
class CexCachingSolver : public SolverImpl {
typedef std::set<Assignment*, AssignmentLessThan> assignmentsTable_ty;
Solver *solver;
MapOfSets<ref<Expr>, 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<Expr> &result);
bool computeInitialValues(const Query&,
const std::vector<const Array*> &objects,
std::vector< std::vector<unsigned char> > &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<Expr> neg = Expr::createIsZero(query.expr);
if (ConstantExpr *CE = dyn_cast<ConstantExpr>(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<const Array*> objects;
findSymbolicObjects(key.begin(), key.end(), objects);
std::vector< std::vector<unsigned char> > 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<assignmentsTable_ty::iterator, bool>
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<Expr> q = a->evaluate(query.expr);
assert(isa<ConstantExpr>(q) &&
"assignment evaluation did not result in constant");
if (cast<ConstantExpr>(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<Expr> &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<ConstantExpr>(result) &&
"assignment evaluation did not result in constant");
return true;
}
bool
CexCachingSolver::computeInitialValues(const Query& query,
const std::vector<const Array*>
&objects,
std::vector< std::vector<unsigned char> >
&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<unsigned char> >(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<unsigned char>(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));
}
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