xref: /llvm-project-15.0.7/clang/lib/StaticAnalyzer/Core/ProgramState.cpp (revision cdae941e)

//= ProgramState.cpp - Path-Sensitive "State" for tracking values --*- C++ -*--=
//
//                     The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
//
//  This file implements ProgramState and ProgramStateManager.
//
//===----------------------------------------------------------------------===//

#include "clang/StaticAnalyzer/Core/PathSensitive/ProgramState.h"
#include "clang/Analysis/CFG.h"
#include "clang/StaticAnalyzer/Core/PathSensitive/CallEvent.h"
#include "clang/StaticAnalyzer/Core/PathSensitive/ProgramStateTrait.h"
#include "clang/StaticAnalyzer/Core/PathSensitive/SubEngine.h"
#include "clang/StaticAnalyzer/Core/PathSensitive/TaintManager.h"
#include "llvm/Support/raw_ostream.h"

using namespace clang;
using namespace ento;

namespace clang { namespace  ento {
/// Increments the number of times this state is referenced.

void ProgramStateRetain(const ProgramState *state) {
  ++const_cast<ProgramState*>(state)->refCount;
}

/// Decrement the number of times this state is referenced.
void ProgramStateRelease(const ProgramState *state) {
  assert(state->refCount > 0);
  ProgramState *s = const_cast<ProgramState*>(state);
  if (--s->refCount == 0) {
    ProgramStateManager &Mgr = s->getStateManager();
    Mgr.StateSet.RemoveNode(s);
    s->~ProgramState();
    Mgr.freeStates.push_back(s);
  }
}
}}

ProgramState::ProgramState(ProgramStateManager *mgr, const Environment& env,
                 StoreRef st, GenericDataMap gdm)
  : stateMgr(mgr),
    Env(env),
    store(st.getStore()),
    GDM(gdm),
    refCount(0) {
  stateMgr->getStoreManager().incrementReferenceCount(store);
}

ProgramState::ProgramState(const ProgramState &RHS)
    : llvm::FoldingSetNode(),
      stateMgr(RHS.stateMgr),
      Env(RHS.Env),
      store(RHS.store),
      GDM(RHS.GDM),
      refCount(0) {
  stateMgr->getStoreManager().incrementReferenceCount(store);
}

ProgramState::~ProgramState() {
  if (store)
    stateMgr->getStoreManager().decrementReferenceCount(store);
}

ProgramStateManager::ProgramStateManager(ASTContext &Ctx,
                                         StoreManagerCreator CreateSMgr,
                                         ConstraintManagerCreator CreateCMgr,
                                         llvm::BumpPtrAllocator &alloc,
                                         SubEngine *SubEng)
  : Eng(SubEng), EnvMgr(alloc), GDMFactory(alloc),
    svalBuilder(createSimpleSValBuilder(alloc, Ctx, *this)),
    CallEventMgr(new CallEventManager(alloc)), Alloc(alloc) {
  StoreMgr = (*CreateSMgr)(*this);
  ConstraintMgr = (*CreateCMgr)(*this, SubEng);
}


ProgramStateManager::~ProgramStateManager() {
  for (GDMContextsTy::iterator I=GDMContexts.begin(), E=GDMContexts.end();
       I!=E; ++I)
    I->second.second(I->second.first);
}

ProgramStateRef
ProgramStateManager::removeDeadBindings(ProgramStateRef state,
                                   const StackFrameContext *LCtx,
                                   SymbolReaper& SymReaper) {

  // This code essentially performs a "mark-and-sweep" of the VariableBindings.
  // The roots are any Block-level exprs and Decls that our liveness algorithm
  // tells us are live.  We then see what Decls they may reference, and keep
  // those around.  This code more than likely can be made faster, and the
  // frequency of which this method is called should be experimented with
  // for optimum performance.
  ProgramState NewState = *state;

  NewState.Env = EnvMgr.removeDeadBindings(NewState.Env, SymReaper, state);

  // Clean up the store.
  StoreRef newStore = StoreMgr->removeDeadBindings(NewState.getStore(), LCtx,
                                                   SymReaper);
  NewState.setStore(newStore);
  SymReaper.setReapedStore(newStore);

  ProgramStateRef Result = getPersistentState(NewState);
  return ConstraintMgr->removeDeadBindings(Result, SymReaper);
}

ProgramStateRef ProgramState::bindLoc(Loc LV, SVal V, bool notifyChanges) const {
  ProgramStateManager &Mgr = getStateManager();
  ProgramStateRef newState = makeWithStore(Mgr.StoreMgr->Bind(getStore(),
                                                             LV, V));
  const MemRegion *MR = LV.getAsRegion();
  if (MR && Mgr.getOwningEngine() && notifyChanges)
    return Mgr.getOwningEngine()->processRegionChange(newState, MR);

  return newState;
}

ProgramStateRef ProgramState::bindDefault(SVal loc, SVal V) const {
  ProgramStateManager &Mgr = getStateManager();
  const MemRegion *R = loc.castAs<loc::MemRegionVal>().getRegion();
  const StoreRef &newStore = Mgr.StoreMgr->BindDefault(getStore(), R, V);
  ProgramStateRef new_state = makeWithStore(newStore);
  return Mgr.getOwningEngine() ?
           Mgr.getOwningEngine()->processRegionChange(new_state, R) :
           new_state;
}

typedef ArrayRef<const MemRegion *> RegionList;
typedef ArrayRef<SVal> ValueList;

ProgramStateRef
ProgramState::invalidateRegions(RegionList Regions,
                             const Expr *E, unsigned Count,
                             const LocationContext *LCtx,
                             bool CausedByPointerEscape,
                             InvalidatedSymbols *IS,
                             const CallEvent *Call,
                             RegionAndSymbolInvalidationTraits *ITraits) const {
  SmallVector<SVal, 8> Values;
  for (RegionList::const_iterator I = Regions.begin(),
                                  End = Regions.end(); I != End; ++I)
    Values.push_back(loc::MemRegionVal(*I));

  return invalidateRegionsImpl(Values, E, Count, LCtx, CausedByPointerEscape,
                               IS, ITraits, Call);
}

ProgramStateRef
ProgramState::invalidateRegions(ValueList Values,
                             const Expr *E, unsigned Count,
                             const LocationContext *LCtx,
                             bool CausedByPointerEscape,
                             InvalidatedSymbols *IS,
                             const CallEvent *Call,
                             RegionAndSymbolInvalidationTraits *ITraits) const {

  return invalidateRegionsImpl(Values, E, Count, LCtx, CausedByPointerEscape,
                               IS, ITraits, Call);
}

ProgramStateRef
ProgramState::invalidateRegionsImpl(ValueList Values,
                                    const Expr *E, unsigned Count,
                                    const LocationContext *LCtx,
                                    bool CausedByPointerEscape,
                                    InvalidatedSymbols *IS,
                                    RegionAndSymbolInvalidationTraits *ITraits,
                                    const CallEvent *Call) const {
  ProgramStateManager &Mgr = getStateManager();
  SubEngine* Eng = Mgr.getOwningEngine();

  InvalidatedSymbols Invalidated;
  if (!IS)
    IS = &Invalidated;

  RegionAndSymbolInvalidationTraits ITraitsLocal;
  if (!ITraits)
    ITraits = &ITraitsLocal;

  if (Eng) {
    StoreManager::InvalidatedRegions TopLevelInvalidated;
    StoreManager::InvalidatedRegions Invalidated;
    const StoreRef &newStore
    = Mgr.StoreMgr->invalidateRegions(getStore(), Values, E, Count, LCtx, Call,
                                      *IS, *ITraits, &TopLevelInvalidated,
                                      &Invalidated);

    ProgramStateRef newState = makeWithStore(newStore);

    if (CausedByPointerEscape) {
      newState = Eng->notifyCheckersOfPointerEscape(newState, IS,
                                                    TopLevelInvalidated,
                                                    Invalidated, Call,
                                                    *ITraits);
    }

    return Eng->processRegionChanges(newState, IS, TopLevelInvalidated,
                                     Invalidated, Call);
  }

  const StoreRef &newStore =
  Mgr.StoreMgr->invalidateRegions(getStore(), Values, E, Count, LCtx, Call,
                                  *IS, *ITraits, nullptr, nullptr);
  return makeWithStore(newStore);
}

ProgramStateRef ProgramState::killBinding(Loc LV) const {
  assert(!LV.getAs<loc::MemRegionVal>() && "Use invalidateRegion instead.");

  Store OldStore = getStore();
  const StoreRef &newStore =
    getStateManager().StoreMgr->killBinding(OldStore, LV);

  if (newStore.getStore() == OldStore)
    return this;

  return makeWithStore(newStore);
}

ProgramStateRef
ProgramState::enterStackFrame(const CallEvent &Call,
                              const StackFrameContext *CalleeCtx) const {
  const StoreRef &NewStore =
    getStateManager().StoreMgr->enterStackFrame(getStore(), Call, CalleeCtx);
  return makeWithStore(NewStore);
}

SVal ProgramState::getSValAsScalarOrLoc(const MemRegion *R) const {
  // We only want to do fetches from regions that we can actually bind
  // values.  For example, SymbolicRegions of type 'id<...>' cannot
  // have direct bindings (but their can be bindings on their subregions).
  if (!R->isBoundable())
    return UnknownVal();

  if (const TypedValueRegion *TR = dyn_cast<TypedValueRegion>(R)) {
    QualType T = TR->getValueType();
    if (Loc::isLocType(T) || T->isIntegralOrEnumerationType())
      return getSVal(R);
  }

  return UnknownVal();
}

SVal ProgramState::getSVal(Loc location, QualType T) const {
  SVal V = getRawSVal(cast<Loc>(location), T);

  // If 'V' is a symbolic value that is *perfectly* constrained to
  // be a constant value, use that value instead to lessen the burden
  // on later analysis stages (so we have less symbolic values to reason
  // about).
  if (!T.isNull()) {
    if (SymbolRef sym = V.getAsSymbol()) {
      if (const llvm::APSInt *Int = getStateManager()
                                    .getConstraintManager()
                                    .getSymVal(this, sym)) {
        // FIXME: Because we don't correctly model (yet) sign-extension
        // and truncation of symbolic values, we need to convert
        // the integer value to the correct signedness and bitwidth.
        //
        // This shows up in the following:
        //
        //   char foo();
        //   unsigned x = foo();
        //   if (x == 54)
        //     ...
        //
        //  The symbolic value stored to 'x' is actually the conjured
        //  symbol for the call to foo(); the type of that symbol is 'char',
        //  not unsigned.
        const llvm::APSInt &NewV = getBasicVals().Convert(T, *Int);

        if (V.getAs<Loc>())
          return loc::ConcreteInt(NewV);
        else
          return nonloc::ConcreteInt(NewV);
      }
    }
  }

  return V;
}

ProgramStateRef ProgramState::BindExpr(const Stmt *S,
                                           const LocationContext *LCtx,
                                           SVal V, bool Invalidate) const{
  Environment NewEnv =
    getStateManager().EnvMgr.bindExpr(Env, EnvironmentEntry(S, LCtx), V,
                                      Invalidate);
  if (NewEnv == Env)
    return this;

  ProgramState NewSt = *this;
  NewSt.Env = NewEnv;
  return getStateManager().getPersistentState(NewSt);
}

ProgramStateRef ProgramState::assumeInBound(DefinedOrUnknownSVal Idx,
                                      DefinedOrUnknownSVal UpperBound,
                                      bool Assumption,
                                      QualType indexTy) const {
  if (Idx.isUnknown() || UpperBound.isUnknown())
    return this;

  // Build an expression for 0 <= Idx < UpperBound.
  // This is the same as Idx + MIN < UpperBound + MIN, if overflow is allowed.
  // FIXME: This should probably be part of SValBuilder.
  ProgramStateManager &SM = getStateManager();
  SValBuilder &svalBuilder = SM.getSValBuilder();
  ASTContext &Ctx = svalBuilder.getContext();

  // Get the offset: the minimum value of the array index type.
  BasicValueFactory &BVF = svalBuilder.getBasicValueFactory();
  // FIXME: This should be using ValueManager::ArrayindexTy...somehow.
  if (indexTy.isNull())
    indexTy = Ctx.IntTy;
  nonloc::ConcreteInt Min(BVF.getMinValue(indexTy));

  // Adjust the index.
  SVal newIdx = svalBuilder.evalBinOpNN(this, BO_Add,
                                        Idx.castAs<NonLoc>(), Min, indexTy);
  if (newIdx.isUnknownOrUndef())
    return this;

  // Adjust the upper bound.
  SVal newBound =
    svalBuilder.evalBinOpNN(this, BO_Add, UpperBound.castAs<NonLoc>(),
                            Min, indexTy);

  if (newBound.isUnknownOrUndef())
    return this;

  // Build the actual comparison.
  SVal inBound = svalBuilder.evalBinOpNN(this, BO_LT, newIdx.castAs<NonLoc>(),
                                         newBound.castAs<NonLoc>(), Ctx.IntTy);
  if (inBound.isUnknownOrUndef())
    return this;

  // Finally, let the constraint manager take care of it.
  ConstraintManager &CM = SM.getConstraintManager();
  return CM.assume(this, inBound.castAs<DefinedSVal>(), Assumption);
}

ConditionTruthVal ProgramState::isNull(SVal V) const {
  if (V.isZeroConstant())
    return true;

  if (V.isConstant())
    return false;

  SymbolRef Sym = V.getAsSymbol(/* IncludeBaseRegion */ true);
  if (!Sym)
    return ConditionTruthVal();

  return getStateManager().ConstraintMgr->isNull(this, Sym);
}

ProgramStateRef ProgramStateManager::getInitialState(const LocationContext *InitLoc) {
  ProgramState State(this,
                EnvMgr.getInitialEnvironment(),
                StoreMgr->getInitialStore(InitLoc),
                GDMFactory.getEmptyMap());

  return getPersistentState(State);
}

ProgramStateRef ProgramStateManager::getPersistentStateWithGDM(
                                                     ProgramStateRef FromState,
                                                     ProgramStateRef GDMState) {
  ProgramState NewState(*FromState);
  NewState.GDM = GDMState->GDM;
  return getPersistentState(NewState);
}

ProgramStateRef ProgramStateManager::getPersistentState(ProgramState &State) {

  llvm::FoldingSetNodeID ID;
  State.Profile(ID);
  void *InsertPos;

  if (ProgramState *I = StateSet.FindNodeOrInsertPos(ID, InsertPos))
    return I;

  ProgramState *newState = nullptr;
  if (!freeStates.empty()) {
    newState = freeStates.back();
    freeStates.pop_back();
  }
  else {
    newState = (ProgramState*) Alloc.Allocate<ProgramState>();
  }
  new (newState) ProgramState(State);
  StateSet.InsertNode(newState, InsertPos);
  return newState;
}

ProgramStateRef ProgramState::makeWithStore(const StoreRef &store) const {
  ProgramState NewSt(*this);
  NewSt.setStore(store);
  return getStateManager().getPersistentState(NewSt);
}

void ProgramState::setStore(const StoreRef &newStore) {
  Store newStoreStore = newStore.getStore();
  if (newStoreStore)
    stateMgr->getStoreManager().incrementReferenceCount(newStoreStore);
  if (store)
    stateMgr->getStoreManager().decrementReferenceCount(store);
  store = newStoreStore;
}

//===----------------------------------------------------------------------===//
//  State pretty-printing.
//===----------------------------------------------------------------------===//

void ProgramState::print(raw_ostream &Out,
                         const char *NL, const char *Sep) const {
  // Print the store.
  ProgramStateManager &Mgr = getStateManager();
  Mgr.getStoreManager().print(getStore(), Out, NL, Sep);

  // Print out the environment.
  Env.print(Out, NL, Sep);

  // Print out the constraints.
  Mgr.getConstraintManager().print(this, Out, NL, Sep);

  // Print checker-specific data.
  Mgr.getOwningEngine()->printState(Out, this, NL, Sep);
}

void ProgramState::printDOT(raw_ostream &Out) const {
  print(Out, "\\l", "\\|");
}

LLVM_DUMP_METHOD void ProgramState::dump() const {
  print(llvm::errs());
}

void ProgramState::printTaint(raw_ostream &Out,
                              const char *NL, const char *Sep) const {
  TaintMapImpl TM = get<TaintMap>();

  if (!TM.isEmpty())
    Out <<"Tainted Symbols:" << NL;

  for (TaintMapImpl::iterator I = TM.begin(), E = TM.end(); I != E; ++I) {
    Out << I->first << " : " << I->second << NL;
  }
}

void ProgramState::dumpTaint() const {
  printTaint(llvm::errs());
}

//===----------------------------------------------------------------------===//
// Generic Data Map.
//===----------------------------------------------------------------------===//

void *const* ProgramState::FindGDM(void *K) const {
  return GDM.lookup(K);
}

void*
ProgramStateManager::FindGDMContext(void *K,
                               void *(*CreateContext)(llvm::BumpPtrAllocator&),
                               void (*DeleteContext)(void*)) {

  std::pair<void*, void (*)(void*)>& p = GDMContexts[K];
  if (!p.first) {
    p.first = CreateContext(Alloc);
    p.second = DeleteContext;
  }

  return p.first;
}

ProgramStateRef ProgramStateManager::addGDM(ProgramStateRef St, void *Key, void *Data){
  ProgramState::GenericDataMap M1 = St->getGDM();
  ProgramState::GenericDataMap M2 = GDMFactory.add(M1, Key, Data);

  if (M1 == M2)
    return St;

  ProgramState NewSt = *St;
  NewSt.GDM = M2;
  return getPersistentState(NewSt);
}

ProgramStateRef ProgramStateManager::removeGDM(ProgramStateRef state, void *Key) {
  ProgramState::GenericDataMap OldM = state->getGDM();
  ProgramState::GenericDataMap NewM = GDMFactory.remove(OldM, Key);

  if (NewM == OldM)
    return state;

  ProgramState NewState = *state;
  NewState.GDM = NewM;
  return getPersistentState(NewState);
}

bool ScanReachableSymbols::scan(nonloc::LazyCompoundVal val) {
  bool wasVisited = !visited.insert(val.getCVData()).second;
  if (wasVisited)
    return true;

  StoreManager &StoreMgr = state->getStateManager().getStoreManager();
  // FIXME: We don't really want to use getBaseRegion() here because pointer
  // arithmetic doesn't apply, but scanReachableSymbols only accepts base
  // regions right now.
  const MemRegion *R = val.getRegion()->getBaseRegion();
  return StoreMgr.scanReachableSymbols(val.getStore(), R, *this);
}

bool ScanReachableSymbols::scan(nonloc::CompoundVal val) {
  for (nonloc::CompoundVal::iterator I=val.begin(), E=val.end(); I!=E; ++I)
    if (!scan(*I))
      return false;

  return true;
}

bool ScanReachableSymbols::scan(const SymExpr *sym) {
  bool wasVisited = !visited.insert(sym).second;
  if (wasVisited)
    return true;

  if (!visitor.VisitSymbol(sym))
    return false;

  // TODO: should be rewritten using SymExpr::symbol_iterator.
  switch (sym->getKind()) {
    case SymExpr::SymbolRegionValueKind:
    case SymExpr::SymbolConjuredKind:
    case SymExpr::SymbolDerivedKind:
    case SymExpr::SymbolExtentKind:
    case SymExpr::SymbolMetadataKind:
      break;
    case SymExpr::SymbolCastKind:
      return scan(cast<SymbolCast>(sym)->getOperand());
    case SymExpr::SymIntExprKind:
      return scan(cast<SymIntExpr>(sym)->getLHS());
    case SymExpr::IntSymExprKind:
      return scan(cast<IntSymExpr>(sym)->getRHS());
    case SymExpr::SymSymExprKind: {
      const SymSymExpr *x = cast<SymSymExpr>(sym);
      return scan(x->getLHS()) && scan(x->getRHS());
    }
  }
  return true;
}

bool ScanReachableSymbols::scan(SVal val) {
  if (Optional<loc::MemRegionVal> X = val.getAs<loc::MemRegionVal>())
    return scan(X->getRegion());

  if (Optional<nonloc::LazyCompoundVal> X =
          val.getAs<nonloc::LazyCompoundVal>())
    return scan(*X);

  if (Optional<nonloc::LocAsInteger> X = val.getAs<nonloc::LocAsInteger>())
    return scan(X->getLoc());

  if (SymbolRef Sym = val.getAsSymbol())
    return scan(Sym);

  if (const SymExpr *Sym = val.getAsSymbolicExpression())
    return scan(Sym);

  if (Optional<nonloc::CompoundVal> X = val.getAs<nonloc::CompoundVal>())
    return scan(*X);

  return true;
}

bool ScanReachableSymbols::scan(const MemRegion *R) {
  if (isa<MemSpaceRegion>(R))
    return true;

  bool wasVisited = !visited.insert(R).second;
  if (wasVisited)
    return true;

  if (!visitor.VisitMemRegion(R))
    return false;

  // If this is a symbolic region, visit the symbol for the region.
  if (const SymbolicRegion *SR = dyn_cast<SymbolicRegion>(R))
    if (!visitor.VisitSymbol(SR->getSymbol()))
      return false;

  // If this is a subregion, also visit the parent regions.
  if (const SubRegion *SR = dyn_cast<SubRegion>(R)) {
    const MemRegion *Super = SR->getSuperRegion();
    if (!scan(Super))
      return false;

    // When we reach the topmost region, scan all symbols in it.
    if (isa<MemSpaceRegion>(Super)) {
      StoreManager &StoreMgr = state->getStateManager().getStoreManager();
      if (!StoreMgr.scanReachableSymbols(state->getStore(), SR, *this))
        return false;
    }
  }

  // Regions captured by a block are also implicitly reachable.
  if (const BlockDataRegion *BDR = dyn_cast<BlockDataRegion>(R)) {
    BlockDataRegion::referenced_vars_iterator I = BDR->referenced_vars_begin(),
                                              E = BDR->referenced_vars_end();
    for ( ; I != E; ++I) {
      if (!scan(I.getCapturedRegion()))
        return false;
    }
  }

  return true;
}

bool ProgramState::scanReachableSymbols(SVal val, SymbolVisitor& visitor) const {
  ScanReachableSymbols S(this, visitor);
  return S.scan(val);
}

bool ProgramState::scanReachableSymbols(const SVal *I, const SVal *E,
                                   SymbolVisitor &visitor) const {
  ScanReachableSymbols S(this, visitor);
  for ( ; I != E; ++I) {
    if (!S.scan(*I))
      return false;
  }
  return true;
}

bool ProgramState::scanReachableSymbols(const MemRegion * const *I,
                                   const MemRegion * const *E,
                                   SymbolVisitor &visitor) const {
  ScanReachableSymbols S(this, visitor);
  for ( ; I != E; ++I) {
    if (!S.scan(*I))
      return false;
  }
  return true;
}

ProgramStateRef ProgramState::addTaint(const Stmt *S,
                                           const LocationContext *LCtx,
                                           TaintTagType Kind) const {
  if (const Expr *E = dyn_cast_or_null<Expr>(S))
    S = E->IgnoreParens();

  SymbolRef Sym = getSVal(S, LCtx).getAsSymbol();
  if (Sym)
    return addTaint(Sym, Kind);

  const MemRegion *R = getSVal(S, LCtx).getAsRegion();
  addTaint(R, Kind);

  // Cannot add taint, so just return the state.
  return this;
}

ProgramStateRef ProgramState::addTaint(const MemRegion *R,
                                           TaintTagType Kind) const {
  if (const SymbolicRegion *SR = dyn_cast_or_null<SymbolicRegion>(R))
    return addTaint(SR->getSymbol(), Kind);
  return this;
}

ProgramStateRef ProgramState::addTaint(SymbolRef Sym,
                                           TaintTagType Kind) const {
  // If this is a symbol cast, remove the cast before adding the taint. Taint
  // is cast agnostic.
  while (const SymbolCast *SC = dyn_cast<SymbolCast>(Sym))
    Sym = SC->getOperand();

  ProgramStateRef NewState = set<TaintMap>(Sym, Kind);
  assert(NewState);
  return NewState;
}

bool ProgramState::isTainted(const Stmt *S, const LocationContext *LCtx,
                             TaintTagType Kind) const {
  if (const Expr *E = dyn_cast_or_null<Expr>(S))
    S = E->IgnoreParens();

  SVal val = getSVal(S, LCtx);
  return isTainted(val, Kind);
}

bool ProgramState::isTainted(SVal V, TaintTagType Kind) const {
  if (const SymExpr *Sym = V.getAsSymExpr())
    return isTainted(Sym, Kind);
  if (const MemRegion *Reg = V.getAsRegion())
    return isTainted(Reg, Kind);
  return false;
}

bool ProgramState::isTainted(const MemRegion *Reg, TaintTagType K) const {
  if (!Reg)
    return false;

  // Element region (array element) is tainted if either the base or the offset
  // are tainted.
  if (const ElementRegion *ER = dyn_cast<ElementRegion>(Reg))
    return isTainted(ER->getSuperRegion(), K) || isTainted(ER->getIndex(), K);

  if (const SymbolicRegion *SR = dyn_cast<SymbolicRegion>(Reg))
    return isTainted(SR->getSymbol(), K);

  if (const SubRegion *ER = dyn_cast<SubRegion>(Reg))
    return isTainted(ER->getSuperRegion(), K);

  return false;
}

bool ProgramState::isTainted(SymbolRef Sym, TaintTagType Kind) const {
  if (!Sym)
    return false;

  // Traverse all the symbols this symbol depends on to see if any are tainted.
  bool Tainted = false;
  for (SymExpr::symbol_iterator SI = Sym->symbol_begin(), SE =Sym->symbol_end();
       SI != SE; ++SI) {
    if (!isa<SymbolData>(*SI))
      continue;

    const TaintTagType *Tag = get<TaintMap>(*SI);
    Tainted = (Tag && *Tag == Kind);

    // If this is a SymbolDerived with a tainted parent, it's also tainted.
    if (const SymbolDerived *SD = dyn_cast<SymbolDerived>(*SI))
      Tainted = Tainted || isTainted(SD->getParentSymbol(), Kind);

    // If memory region is tainted, data is also tainted.
    if (const SymbolRegionValue *SRV = dyn_cast<SymbolRegionValue>(*SI))
      Tainted = Tainted || isTainted(SRV->getRegion(), Kind);

    // If If this is a SymbolCast from a tainted value, it's also tainted.
    if (const SymbolCast *SC = dyn_cast<SymbolCast>(*SI))
      Tainted = Tainted || isTainted(SC->getOperand(), Kind);

    if (Tainted)
      return true;
  }

  return Tainted;
}