1 //=- LiveVariables.cpp - Live Variable Analysis for Source CFGs ----------*-==//
2 //
3 //                     The LLVM Compiler Infrastructure
4 //
5 // This file is distributed under the University of Illinois Open Source
6 // License. See LICENSE.TXT for details.
7 //
8 //===----------------------------------------------------------------------===//
9 //
10 // This file implements Live Variables analysis for source-level CFGs.
11 //
12 //===----------------------------------------------------------------------===//
13 
14 #include "clang/Analysis/Analyses/LiveVariables.h"
15 #include "clang/AST/Stmt.h"
16 #include "clang/AST/StmtVisitor.h"
17 #include "clang/Analysis/Analyses/PostOrderCFGView.h"
18 #include "clang/Analysis/AnalysisContext.h"
19 #include "clang/Analysis/CFG.h"
20 #include "llvm/ADT/DenseMap.h"
21 #include "llvm/ADT/PostOrderIterator.h"
22 #include "llvm/Support/raw_ostream.h"
23 #include <algorithm>
24 #include <vector>
25 
26 using namespace clang;
27 
28 namespace {
29 
30 class DataflowWorklist {
31   SmallVector<const CFGBlock *, 20> worklist;
32   llvm::BitVector enqueuedBlocks;
33   PostOrderCFGView *POV;
34 public:
35   DataflowWorklist(const CFG &cfg, AnalysisDeclContext &Ctx)
36     : enqueuedBlocks(cfg.getNumBlockIDs()),
37       POV(Ctx.getAnalysis<PostOrderCFGView>()) {}
38 
39   void enqueueBlock(const CFGBlock *block);
40   void enqueueSuccessors(const CFGBlock *block);
41   void enqueuePredecessors(const CFGBlock *block);
42 
43   const CFGBlock *dequeue();
44 
45   void sortWorklist();
46 };
47 
48 }
49 
50 void DataflowWorklist::enqueueBlock(const clang::CFGBlock *block) {
51   if (block && !enqueuedBlocks[block->getBlockID()]) {
52     enqueuedBlocks[block->getBlockID()] = true;
53     worklist.push_back(block);
54   }
55 }
56 
57 void DataflowWorklist::enqueueSuccessors(const clang::CFGBlock *block) {
58   const unsigned OldWorklistSize = worklist.size();
59   for (CFGBlock::const_succ_iterator I = block->succ_begin(),
60        E = block->succ_end(); I != E; ++I) {
61     enqueueBlock(*I);
62   }
63 
64   if (OldWorklistSize == 0 || OldWorklistSize == worklist.size())
65     return;
66 
67   sortWorklist();
68 }
69 
70 void DataflowWorklist::enqueuePredecessors(const clang::CFGBlock *block) {
71   const unsigned OldWorklistSize = worklist.size();
72   for (CFGBlock::const_pred_iterator I = block->pred_begin(),
73        E = block->pred_end(); I != E; ++I) {
74     enqueueBlock(*I);
75   }
76 
77   if (OldWorklistSize == 0 || OldWorklistSize == worklist.size())
78     return;
79 
80   sortWorklist();
81 }
82 
83 void DataflowWorklist::sortWorklist() {
84   std::sort(worklist.begin(), worklist.end(), POV->getComparator());
85 }
86 
87 const CFGBlock *DataflowWorklist::dequeue() {
88   if (worklist.empty())
89     return 0;
90   const CFGBlock *b = worklist.pop_back_val();
91   enqueuedBlocks[b->getBlockID()] = false;
92   return b;
93 }
94 
95 namespace {
96 class LiveVariablesImpl {
97 public:
98   AnalysisDeclContext &analysisContext;
99   std::vector<LiveVariables::LivenessValues> cfgBlockValues;
100   llvm::ImmutableSet<const Stmt *>::Factory SSetFact;
101   llvm::ImmutableSet<const VarDecl *>::Factory DSetFact;
102   llvm::DenseMap<const CFGBlock *, LiveVariables::LivenessValues> blocksEndToLiveness;
103   llvm::DenseMap<const CFGBlock *, LiveVariables::LivenessValues> blocksBeginToLiveness;
104   llvm::DenseMap<const Stmt *, LiveVariables::LivenessValues> stmtsToLiveness;
105   llvm::DenseMap<const DeclRefExpr *, unsigned> inAssignment;
106   const bool killAtAssign;
107 
108   LiveVariables::LivenessValues
109   merge(LiveVariables::LivenessValues valsA,
110         LiveVariables::LivenessValues valsB);
111 
112   LiveVariables::LivenessValues runOnBlock(const CFGBlock *block,
113                                            LiveVariables::LivenessValues val,
114                                            LiveVariables::Observer *obs = 0);
115 
116   void dumpBlockLiveness(const SourceManager& M);
117 
118   LiveVariablesImpl(AnalysisDeclContext &ac, bool KillAtAssign)
119     : analysisContext(ac),
120       SSetFact(false), // Do not canonicalize ImmutableSets by default.
121       DSetFact(false), // This is a *major* performance win.
122       killAtAssign(KillAtAssign) {}
123 };
124 }
125 
126 static LiveVariablesImpl &getImpl(void *x) {
127   return *((LiveVariablesImpl *) x);
128 }
129 
130 //===----------------------------------------------------------------------===//
131 // Operations and queries on LivenessValues.
132 //===----------------------------------------------------------------------===//
133 
134 bool LiveVariables::LivenessValues::isLive(const Stmt *S) const {
135   return liveStmts.contains(S);
136 }
137 
138 bool LiveVariables::LivenessValues::isLive(const VarDecl *D) const {
139   return liveDecls.contains(D);
140 }
141 
142 namespace {
143   template <typename SET>
144   SET mergeSets(SET A, SET B) {
145     if (A.isEmpty())
146       return B;
147 
148     for (typename SET::iterator it = B.begin(), ei = B.end(); it != ei; ++it) {
149       A = A.add(*it);
150     }
151     return A;
152   }
153 }
154 
155 void LiveVariables::Observer::anchor() { }
156 
157 LiveVariables::LivenessValues
158 LiveVariablesImpl::merge(LiveVariables::LivenessValues valsA,
159                          LiveVariables::LivenessValues valsB) {
160 
161   llvm::ImmutableSetRef<const Stmt *>
162     SSetRefA(valsA.liveStmts.getRootWithoutRetain(), SSetFact.getTreeFactory()),
163     SSetRefB(valsB.liveStmts.getRootWithoutRetain(), SSetFact.getTreeFactory());
164 
165 
166   llvm::ImmutableSetRef<const VarDecl *>
167     DSetRefA(valsA.liveDecls.getRootWithoutRetain(), DSetFact.getTreeFactory()),
168     DSetRefB(valsB.liveDecls.getRootWithoutRetain(), DSetFact.getTreeFactory());
169 
170 
171   SSetRefA = mergeSets(SSetRefA, SSetRefB);
172   DSetRefA = mergeSets(DSetRefA, DSetRefB);
173 
174   // asImmutableSet() canonicalizes the tree, allowing us to do an easy
175   // comparison afterwards.
176   return LiveVariables::LivenessValues(SSetRefA.asImmutableSet(),
177                                        DSetRefA.asImmutableSet());
178 }
179 
180 bool LiveVariables::LivenessValues::equals(const LivenessValues &V) const {
181   return liveStmts == V.liveStmts && liveDecls == V.liveDecls;
182 }
183 
184 //===----------------------------------------------------------------------===//
185 // Query methods.
186 //===----------------------------------------------------------------------===//
187 
188 static bool isAlwaysAlive(const VarDecl *D) {
189   return D->hasGlobalStorage();
190 }
191 
192 bool LiveVariables::isLive(const CFGBlock *B, const VarDecl *D) {
193   return isAlwaysAlive(D) || getImpl(impl).blocksEndToLiveness[B].isLive(D);
194 }
195 
196 bool LiveVariables::isLive(const Stmt *S, const VarDecl *D) {
197   return isAlwaysAlive(D) || getImpl(impl).stmtsToLiveness[S].isLive(D);
198 }
199 
200 bool LiveVariables::isLive(const Stmt *Loc, const Stmt *S) {
201   return getImpl(impl).stmtsToLiveness[Loc].isLive(S);
202 }
203 
204 //===----------------------------------------------------------------------===//
205 // Dataflow computation.
206 //===----------------------------------------------------------------------===//
207 
208 namespace {
209 class TransferFunctions : public StmtVisitor<TransferFunctions> {
210   LiveVariablesImpl &LV;
211   LiveVariables::LivenessValues &val;
212   LiveVariables::Observer *observer;
213   const CFGBlock *currentBlock;
214 public:
215   TransferFunctions(LiveVariablesImpl &im,
216                     LiveVariables::LivenessValues &Val,
217                     LiveVariables::Observer *Observer,
218                     const CFGBlock *CurrentBlock)
219   : LV(im), val(Val), observer(Observer), currentBlock(CurrentBlock) {}
220 
221   void VisitBinaryOperator(BinaryOperator *BO);
222   void VisitBlockExpr(BlockExpr *BE);
223   void VisitDeclRefExpr(DeclRefExpr *DR);
224   void VisitDeclStmt(DeclStmt *DS);
225   void VisitObjCForCollectionStmt(ObjCForCollectionStmt *OS);
226   void VisitUnaryExprOrTypeTraitExpr(UnaryExprOrTypeTraitExpr *UE);
227   void VisitUnaryOperator(UnaryOperator *UO);
228   void Visit(Stmt *S);
229 };
230 }
231 
232 static const VariableArrayType *FindVA(QualType Ty) {
233   const Type *ty = Ty.getTypePtr();
234   while (const ArrayType *VT = dyn_cast<ArrayType>(ty)) {
235     if (const VariableArrayType *VAT = dyn_cast<VariableArrayType>(VT))
236       if (VAT->getSizeExpr())
237         return VAT;
238 
239     ty = VT->getElementType().getTypePtr();
240   }
241 
242   return 0;
243 }
244 
245 static const Stmt *LookThroughStmt(const Stmt *S) {
246   while (S) {
247     if (const Expr *Ex = dyn_cast<Expr>(S))
248       S = Ex->IgnoreParens();
249     if (const ExprWithCleanups *EWC = dyn_cast<ExprWithCleanups>(S)) {
250       S = EWC->getSubExpr();
251       continue;
252     }
253     if (const OpaqueValueExpr *OVE = dyn_cast<OpaqueValueExpr>(S)) {
254       S = OVE->getSourceExpr();
255       continue;
256     }
257     break;
258   }
259   return S;
260 }
261 
262 static void AddLiveStmt(llvm::ImmutableSet<const Stmt *> &Set,
263                         llvm::ImmutableSet<const Stmt *>::Factory &F,
264                         const Stmt *S) {
265   Set = F.add(Set, LookThroughStmt(S));
266 }
267 
268 void TransferFunctions::Visit(Stmt *S) {
269   if (observer)
270     observer->observeStmt(S, currentBlock, val);
271 
272   StmtVisitor<TransferFunctions>::Visit(S);
273 
274   if (isa<Expr>(S)) {
275     val.liveStmts = LV.SSetFact.remove(val.liveStmts, S);
276   }
277 
278   // Mark all children expressions live.
279 
280   switch (S->getStmtClass()) {
281     default:
282       break;
283     case Stmt::StmtExprClass: {
284       // For statement expressions, look through the compound statement.
285       S = cast<StmtExpr>(S)->getSubStmt();
286       break;
287     }
288     case Stmt::CXXMemberCallExprClass: {
289       // Include the implicit "this" pointer as being live.
290       CXXMemberCallExpr *CE = cast<CXXMemberCallExpr>(S);
291       if (Expr *ImplicitObj = CE->getImplicitObjectArgument()) {
292         AddLiveStmt(val.liveStmts, LV.SSetFact, ImplicitObj);
293       }
294       break;
295     }
296     case Stmt::ObjCMessageExprClass: {
297       // In calls to super, include the implicit "self" pointer as being live.
298       ObjCMessageExpr *CE = cast<ObjCMessageExpr>(S);
299       if (CE->getReceiverKind() == ObjCMessageExpr::SuperInstance)
300         val.liveDecls = LV.DSetFact.add(val.liveDecls,
301                                         LV.analysisContext.getSelfDecl());
302       break;
303     }
304     case Stmt::DeclStmtClass: {
305       const DeclStmt *DS = cast<DeclStmt>(S);
306       if (const VarDecl *VD = dyn_cast<VarDecl>(DS->getSingleDecl())) {
307         for (const VariableArrayType* VA = FindVA(VD->getType());
308              VA != 0; VA = FindVA(VA->getElementType())) {
309           AddLiveStmt(val.liveStmts, LV.SSetFact, VA->getSizeExpr());
310         }
311       }
312       break;
313     }
314     case Stmt::PseudoObjectExprClass: {
315       // A pseudo-object operation only directly consumes its result
316       // expression.
317       Expr *child = cast<PseudoObjectExpr>(S)->getResultExpr();
318       if (!child) return;
319       if (OpaqueValueExpr *OV = dyn_cast<OpaqueValueExpr>(child))
320         child = OV->getSourceExpr();
321       child = child->IgnoreParens();
322       val.liveStmts = LV.SSetFact.add(val.liveStmts, child);
323       return;
324     }
325 
326     // FIXME: These cases eventually shouldn't be needed.
327     case Stmt::ExprWithCleanupsClass: {
328       S = cast<ExprWithCleanups>(S)->getSubExpr();
329       break;
330     }
331     case Stmt::CXXBindTemporaryExprClass: {
332       S = cast<CXXBindTemporaryExpr>(S)->getSubExpr();
333       break;
334     }
335     case Stmt::UnaryExprOrTypeTraitExprClass: {
336       // No need to unconditionally visit subexpressions.
337       return;
338     }
339   }
340 
341   for (Stmt::child_iterator it = S->child_begin(), ei = S->child_end();
342        it != ei; ++it) {
343     if (Stmt *child = *it)
344       AddLiveStmt(val.liveStmts, LV.SSetFact, child);
345   }
346 }
347 
348 void TransferFunctions::VisitBinaryOperator(BinaryOperator *B) {
349   if (B->isAssignmentOp()) {
350     if (!LV.killAtAssign)
351       return;
352 
353     // Assigning to a variable?
354     Expr *LHS = B->getLHS()->IgnoreParens();
355 
356     if (DeclRefExpr *DR = dyn_cast<DeclRefExpr>(LHS))
357       if (const VarDecl *VD = dyn_cast<VarDecl>(DR->getDecl())) {
358         // Assignments to references don't kill the ref's address
359         if (VD->getType()->isReferenceType())
360           return;
361 
362         if (!isAlwaysAlive(VD)) {
363           // The variable is now dead.
364           val.liveDecls = LV.DSetFact.remove(val.liveDecls, VD);
365         }
366 
367         if (observer)
368           observer->observerKill(DR);
369       }
370   }
371 }
372 
373 void TransferFunctions::VisitBlockExpr(BlockExpr *BE) {
374   AnalysisDeclContext::referenced_decls_iterator I, E;
375   llvm::tie(I, E) =
376     LV.analysisContext.getReferencedBlockVars(BE->getBlockDecl());
377   for ( ; I != E ; ++I) {
378     const VarDecl *VD = *I;
379     if (isAlwaysAlive(VD))
380       continue;
381     val.liveDecls = LV.DSetFact.add(val.liveDecls, VD);
382   }
383 }
384 
385 void TransferFunctions::VisitDeclRefExpr(DeclRefExpr *DR) {
386   if (const VarDecl *D = dyn_cast<VarDecl>(DR->getDecl()))
387     if (!isAlwaysAlive(D) && LV.inAssignment.find(DR) == LV.inAssignment.end())
388       val.liveDecls = LV.DSetFact.add(val.liveDecls, D);
389 }
390 
391 void TransferFunctions::VisitDeclStmt(DeclStmt *DS) {
392   for (DeclStmt::decl_iterator DI=DS->decl_begin(), DE = DS->decl_end();
393        DI != DE; ++DI)
394     if (VarDecl *VD = dyn_cast<VarDecl>(*DI)) {
395       if (!isAlwaysAlive(VD))
396         val.liveDecls = LV.DSetFact.remove(val.liveDecls, VD);
397     }
398 }
399 
400 void TransferFunctions::VisitObjCForCollectionStmt(ObjCForCollectionStmt *OS) {
401   // Kill the iteration variable.
402   DeclRefExpr *DR = 0;
403   const VarDecl *VD = 0;
404 
405   Stmt *element = OS->getElement();
406   if (DeclStmt *DS = dyn_cast<DeclStmt>(element)) {
407     VD = cast<VarDecl>(DS->getSingleDecl());
408   }
409   else if ((DR = dyn_cast<DeclRefExpr>(cast<Expr>(element)->IgnoreParens()))) {
410     VD = cast<VarDecl>(DR->getDecl());
411   }
412 
413   if (VD) {
414     val.liveDecls = LV.DSetFact.remove(val.liveDecls, VD);
415     if (observer && DR)
416       observer->observerKill(DR);
417   }
418 }
419 
420 void TransferFunctions::
421 VisitUnaryExprOrTypeTraitExpr(UnaryExprOrTypeTraitExpr *UE)
422 {
423   // While sizeof(var) doesn't technically extend the liveness of 'var', it
424   // does extent the liveness of metadata if 'var' is a VariableArrayType.
425   // We handle that special case here.
426   if (UE->getKind() != UETT_SizeOf || UE->isArgumentType())
427     return;
428 
429   const Expr *subEx = UE->getArgumentExpr();
430   if (subEx->getType()->isVariableArrayType()) {
431     assert(subEx->isLValue());
432     val.liveStmts = LV.SSetFact.add(val.liveStmts, subEx->IgnoreParens());
433   }
434 }
435 
436 void TransferFunctions::VisitUnaryOperator(UnaryOperator *UO) {
437   // Treat ++/-- as a kill.
438   // Note we don't actually have to do anything if we don't have an observer,
439   // since a ++/-- acts as both a kill and a "use".
440   if (!observer)
441     return;
442 
443   switch (UO->getOpcode()) {
444   default:
445     return;
446   case UO_PostInc:
447   case UO_PostDec:
448   case UO_PreInc:
449   case UO_PreDec:
450     break;
451   }
452 
453   if (DeclRefExpr *DR = dyn_cast<DeclRefExpr>(UO->getSubExpr()->IgnoreParens()))
454     if (isa<VarDecl>(DR->getDecl())) {
455       // Treat ++/-- as a kill.
456       observer->observerKill(DR);
457     }
458 }
459 
460 LiveVariables::LivenessValues
461 LiveVariablesImpl::runOnBlock(const CFGBlock *block,
462                               LiveVariables::LivenessValues val,
463                               LiveVariables::Observer *obs) {
464 
465   TransferFunctions TF(*this, val, obs, block);
466 
467   // Visit the terminator (if any).
468   if (const Stmt *term = block->getTerminator())
469     TF.Visit(const_cast<Stmt*>(term));
470 
471   // Apply the transfer function for all Stmts in the block.
472   for (CFGBlock::const_reverse_iterator it = block->rbegin(),
473        ei = block->rend(); it != ei; ++it) {
474     const CFGElement &elem = *it;
475 
476     if (Optional<CFGAutomaticObjDtor> Dtor =
477             elem.getAs<CFGAutomaticObjDtor>()) {
478       val.liveDecls = DSetFact.add(val.liveDecls, Dtor->getVarDecl());
479       continue;
480     }
481 
482     if (!elem.getAs<CFGStmt>())
483       continue;
484 
485     const Stmt *S = elem.castAs<CFGStmt>().getStmt();
486     TF.Visit(const_cast<Stmt*>(S));
487     stmtsToLiveness[S] = val;
488   }
489   return val;
490 }
491 
492 void LiveVariables::runOnAllBlocks(LiveVariables::Observer &obs) {
493   const CFG *cfg = getImpl(impl).analysisContext.getCFG();
494   for (CFG::const_iterator it = cfg->begin(), ei = cfg->end(); it != ei; ++it)
495     getImpl(impl).runOnBlock(*it, getImpl(impl).blocksEndToLiveness[*it], &obs);
496 }
497 
498 LiveVariables::LiveVariables(void *im) : impl(im) {}
499 
500 LiveVariables::~LiveVariables() {
501   delete (LiveVariablesImpl*) impl;
502 }
503 
504 LiveVariables *
505 LiveVariables::computeLiveness(AnalysisDeclContext &AC,
506                                  bool killAtAssign) {
507 
508   // No CFG?  Bail out.
509   CFG *cfg = AC.getCFG();
510   if (!cfg)
511     return 0;
512 
513   // The analysis currently has scalability issues for very large CFGs.
514   // Bail out if it looks too large.
515   if (cfg->getNumBlockIDs() > 300000)
516     return 0;
517 
518   LiveVariablesImpl *LV = new LiveVariablesImpl(AC, killAtAssign);
519 
520   // Construct the dataflow worklist.  Enqueue the exit block as the
521   // start of the analysis.
522   DataflowWorklist worklist(*cfg, AC);
523   llvm::BitVector everAnalyzedBlock(cfg->getNumBlockIDs());
524 
525   // FIXME: we should enqueue using post order.
526   for (CFG::const_iterator it = cfg->begin(), ei = cfg->end(); it != ei; ++it) {
527     const CFGBlock *block = *it;
528     worklist.enqueueBlock(block);
529 
530     // FIXME: Scan for DeclRefExprs using in the LHS of an assignment.
531     // We need to do this because we lack context in the reverse analysis
532     // to determine if a DeclRefExpr appears in such a context, and thus
533     // doesn't constitute a "use".
534     if (killAtAssign)
535       for (CFGBlock::const_iterator bi = block->begin(), be = block->end();
536            bi != be; ++bi) {
537         if (Optional<CFGStmt> cs = bi->getAs<CFGStmt>()) {
538           if (const BinaryOperator *BO =
539                   dyn_cast<BinaryOperator>(cs->getStmt())) {
540             if (BO->getOpcode() == BO_Assign) {
541               if (const DeclRefExpr *DR =
542                     dyn_cast<DeclRefExpr>(BO->getLHS()->IgnoreParens())) {
543                 LV->inAssignment[DR] = 1;
544               }
545             }
546           }
547         }
548       }
549   }
550 
551   worklist.sortWorklist();
552 
553   while (const CFGBlock *block = worklist.dequeue()) {
554     // Determine if the block's end value has changed.  If not, we
555     // have nothing left to do for this block.
556     LivenessValues &prevVal = LV->blocksEndToLiveness[block];
557 
558     // Merge the values of all successor blocks.
559     LivenessValues val;
560     for (CFGBlock::const_succ_iterator it = block->succ_begin(),
561                                        ei = block->succ_end(); it != ei; ++it) {
562       if (const CFGBlock *succ = *it) {
563         val = LV->merge(val, LV->blocksBeginToLiveness[succ]);
564       }
565     }
566 
567     if (!everAnalyzedBlock[block->getBlockID()])
568       everAnalyzedBlock[block->getBlockID()] = true;
569     else if (prevVal.equals(val))
570       continue;
571 
572     prevVal = val;
573 
574     // Update the dataflow value for the start of this block.
575     LV->blocksBeginToLiveness[block] = LV->runOnBlock(block, val);
576 
577     // Enqueue the value to the predecessors.
578     worklist.enqueuePredecessors(block);
579   }
580 
581   return new LiveVariables(LV);
582 }
583 
584 static bool compare_entries(const CFGBlock *A, const CFGBlock *B) {
585   return A->getBlockID() < B->getBlockID();
586 }
587 
588 static bool compare_vd_entries(const Decl *A, const Decl *B) {
589   SourceLocation ALoc = A->getLocStart();
590   SourceLocation BLoc = B->getLocStart();
591   return ALoc.getRawEncoding() < BLoc.getRawEncoding();
592 }
593 
594 void LiveVariables::dumpBlockLiveness(const SourceManager &M) {
595   getImpl(impl).dumpBlockLiveness(M);
596 }
597 
598 void LiveVariablesImpl::dumpBlockLiveness(const SourceManager &M) {
599   std::vector<const CFGBlock *> vec;
600   for (llvm::DenseMap<const CFGBlock *, LiveVariables::LivenessValues>::iterator
601        it = blocksEndToLiveness.begin(), ei = blocksEndToLiveness.end();
602        it != ei; ++it) {
603     vec.push_back(it->first);
604   }
605   std::sort(vec.begin(), vec.end(), compare_entries);
606 
607   std::vector<const VarDecl*> declVec;
608 
609   for (std::vector<const CFGBlock *>::iterator
610         it = vec.begin(), ei = vec.end(); it != ei; ++it) {
611     llvm::errs() << "\n[ B" << (*it)->getBlockID()
612                  << " (live variables at block exit) ]\n";
613 
614     LiveVariables::LivenessValues vals = blocksEndToLiveness[*it];
615     declVec.clear();
616 
617     for (llvm::ImmutableSet<const VarDecl *>::iterator si =
618           vals.liveDecls.begin(),
619           se = vals.liveDecls.end(); si != se; ++si) {
620       declVec.push_back(*si);
621     }
622 
623     std::sort(declVec.begin(), declVec.end(), compare_vd_entries);
624 
625     for (std::vector<const VarDecl*>::iterator di = declVec.begin(),
626          de = declVec.end(); di != de; ++di) {
627       llvm::errs() << " " << (*di)->getDeclName().getAsString()
628                    << " <";
629       (*di)->getLocation().dump(M);
630       llvm::errs() << ">\n";
631     }
632   }
633   llvm::errs() << "\n";
634 }
635 
636 const void *LiveVariables::getTag() { static int x; return &x; }
637 const void *RelaxedLiveVariables::getTag() { static int x; return &x; }
638