181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky//===-- CFG.cpp - BasicBlock analysis --------------------------------------==//
281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky//
381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky//                     The LLVM Compiler Infrastructure
481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky//
581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky// This file is distributed under the University of Illinois Open Source
681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky// License. See LICENSE.TXT for details.
781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky//
881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky//===----------------------------------------------------------------------===//
981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky//
1081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky// This family of functions performs analyses on basic blocks, and instructions
1181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky// contained within basic blocks.
1281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky//
1381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky//===----------------------------------------------------------------------===//
1481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
1581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky#include "llvm/Analysis/CFG.h"
1681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
1781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky#include "llvm/ADT/SmallSet.h"
1881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky#include "llvm/Analysis/Dominators.h"
1981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky#include "llvm/Analysis/LoopInfo.h"
2081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
2181e480463d8bb57776d03cebfd083762909023f1Nick Lewyckyusing namespace llvm;
2281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
2381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky/// FindFunctionBackedges - Analyze the specified function to find all of the
2481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky/// loop backedges in the function and return them.  This is a relatively cheap
2581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky/// (compared to computing dominators and loop info) analysis.
2681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky///
2781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky/// The output is added to Result, as pairs of <from,to> edge info.
2881e480463d8bb57776d03cebfd083762909023f1Nick Lewyckyvoid llvm::FindFunctionBackedges(const Function &F,
2981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky     SmallVectorImpl<std::pair<const BasicBlock*,const BasicBlock*> > &Result) {
3081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  const BasicBlock *BB = &F.getEntryBlock();
3181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  if (succ_begin(BB) == succ_end(BB))
3281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    return;
3381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
3481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  SmallPtrSet<const BasicBlock*, 8> Visited;
3581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  SmallVector<std::pair<const BasicBlock*, succ_const_iterator>, 8> VisitStack;
3681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  SmallPtrSet<const BasicBlock*, 8> InStack;
3781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
3881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  Visited.insert(BB);
3981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  VisitStack.push_back(std::make_pair(BB, succ_begin(BB)));
4081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  InStack.insert(BB);
4181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  do {
4281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    std::pair<const BasicBlock*, succ_const_iterator> &Top = VisitStack.back();
4381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    const BasicBlock *ParentBB = Top.first;
4481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    succ_const_iterator &I = Top.second;
4581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
4681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    bool FoundNew = false;
4781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    while (I != succ_end(ParentBB)) {
4881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      BB = *I++;
4981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      if (Visited.insert(BB)) {
5081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky        FoundNew = true;
5181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky        break;
5281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      }
5381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      // Successor is in VisitStack, it's a back edge.
5481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      if (InStack.count(BB))
5581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky        Result.push_back(std::make_pair(ParentBB, BB));
5681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    }
5781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
5881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    if (FoundNew) {
5981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      // Go down one level if there is a unvisited successor.
6081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      InStack.insert(BB);
6181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      VisitStack.push_back(std::make_pair(BB, succ_begin(BB)));
6281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    } else {
6381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      // Go up one level.
6481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      InStack.erase(VisitStack.pop_back_val().first);
6581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    }
6681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  } while (!VisitStack.empty());
6781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky}
6881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
6981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky/// GetSuccessorNumber - Search for the specified successor of basic block BB
7081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky/// and return its position in the terminator instruction's list of
7181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky/// successors.  It is an error to call this with a block that is not a
7281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky/// successor.
7381e480463d8bb57776d03cebfd083762909023f1Nick Lewyckyunsigned llvm::GetSuccessorNumber(BasicBlock *BB, BasicBlock *Succ) {
7481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  TerminatorInst *Term = BB->getTerminator();
7581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky#ifndef NDEBUG
7681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  unsigned e = Term->getNumSuccessors();
7781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky#endif
7881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  for (unsigned i = 0; ; ++i) {
7981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    assert(i != e && "Didn't find edge?");
8081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    if (Term->getSuccessor(i) == Succ)
8181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      return i;
8281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  }
8381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky}
8481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
8581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky/// isCriticalEdge - Return true if the specified edge is a critical edge.
8681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky/// Critical edges are edges from a block with multiple successors to a block
8781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky/// with multiple predecessors.
8881e480463d8bb57776d03cebfd083762909023f1Nick Lewyckybool llvm::isCriticalEdge(const TerminatorInst *TI, unsigned SuccNum,
8981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky                          bool AllowIdenticalEdges) {
9081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  assert(SuccNum < TI->getNumSuccessors() && "Illegal edge specification!");
9181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  if (TI->getNumSuccessors() == 1) return false;
9281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
9381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  const BasicBlock *Dest = TI->getSuccessor(SuccNum);
9481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  const_pred_iterator I = pred_begin(Dest), E = pred_end(Dest);
9581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
9681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // If there is more than one predecessor, this is a critical edge...
9781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  assert(I != E && "No preds, but we have an edge to the block?");
9881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  const BasicBlock *FirstPred = *I;
9981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  ++I;        // Skip one edge due to the incoming arc from TI.
10081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  if (!AllowIdenticalEdges)
10181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    return I != E;
10281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
10381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // If AllowIdenticalEdges is true, then we allow this edge to be considered
10481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // non-critical iff all preds come from TI's block.
10581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  while (I != E) {
10681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    const BasicBlock *P = *I;
10781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    if (P != FirstPred)
10881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      return true;
10981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    // Note: leave this as is until no one ever compiles with either gcc 4.0.1
11081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    // or Xcode 2. This seems to work around the pred_iterator assert in PR 2207
11181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    E = pred_end(P);
11281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    ++I;
11381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  }
11481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  return false;
11581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky}
11681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
11781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky// LoopInfo contains a mapping from basic block to the innermost loop. Find
11881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky// the outermost loop in the loop nest that contains BB.
11981e480463d8bb57776d03cebfd083762909023f1Nick Lewyckystatic const Loop *getOutermostLoop(LoopInfo *LI, const BasicBlock *BB) {
12081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  const Loop *L = LI->getLoopFor(BB);
12181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  if (L) {
12281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    while (const Loop *Parent = L->getParentLoop())
12381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      L = Parent;
12481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  }
12581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  return L;
12681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky}
12781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
12881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky// True if there is a loop which contains both BB1 and BB2.
12981e480463d8bb57776d03cebfd083762909023f1Nick Lewyckystatic bool loopContainsBoth(LoopInfo *LI,
13081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky                             const BasicBlock *BB1, const BasicBlock *BB2) {
13181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  const Loop *L1 = getOutermostLoop(LI, BB1);
13281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  const Loop *L2 = getOutermostLoop(LI, BB2);
13381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  return L1 != NULL && L1 == L2;
13481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky}
13581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
13681e480463d8bb57776d03cebfd083762909023f1Nick Lewyckystatic bool isPotentiallyReachableSameBlock(const Instruction *A,
13781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky                                            const Instruction *B,
13881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky                                            LoopInfo *LI) {
13981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // The same block case is special because it's the only time we're looking
14081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // within a single block to see which comes first. Once we start looking at
14181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // multiple blocks, the first instruction of the block is reachable, so we
14281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // only need to determine reachability between whole blocks.
14381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
14481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  const BasicBlock *BB = A->getParent();
14581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // If the block is in a loop then we can reach any instruction in the block
14681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // from any other instruction in the block by going around the backedge.
14781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // Check whether we're in a loop (or aren't sure).
14881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
14981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // Can't be in a loop if it's the entry block -- the entry block may not
15081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // have predecessors.
15181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  bool HasLoop = BB != &BB->getParent()->getEntryBlock();
15281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
15381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // Can't be in a loop if LoopInfo doesn't know about it.
15481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  if (LI && HasLoop) {
15581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    HasLoop = LI->getLoopFor(BB) != 0;
15681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  }
15781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  if (HasLoop)
15881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    return true;
15981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
16081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // Linear scan, start at 'A', see whether we hit 'B' or the end first.
16181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  for (BasicBlock::const_iterator I = A, E = BB->end(); I != E; ++I) {
16281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    if (&*I == B)
16381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      return true;
16481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  }
16581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  return false;
16681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky}
16781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
16881e480463d8bb57776d03cebfd083762909023f1Nick Lewyckybool llvm::isPotentiallyReachable(const Instruction *A, const Instruction *B,
16981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky                                  DominatorTree *DT, LoopInfo *LI) {
17081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  assert(A->getParent()->getParent() == B->getParent()->getParent() &&
17181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky         "This analysis is function-local!");
17281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
17381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  const BasicBlock *StopBB = B->getParent();
17481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
17581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  if (A->getParent() == B->getParent())
17681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    return isPotentiallyReachableSameBlock(A, B, LI);
17781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
17881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  if (A->getParent() == &A->getParent()->getParent()->getEntryBlock())
17981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    return true;
18081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  if (B->getParent() == &A->getParent()->getParent()->getEntryBlock())
18181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    return false;
18281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
18381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // When the stop block is unreachable, it's dominated from everywhere,
18481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // regardless of whether there's a path between the two blocks.
18581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  if (DT && !DT->isReachableFromEntry(StopBB))
18681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    DT = 0;
18781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
18881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // Limit the number of blocks we visit. The goal is to avoid run-away compile
18981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // times on large CFGs without hampering sensible code. Arbitrarily chosen.
19081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  unsigned Limit = 32;
19181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
19281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  SmallSet<const BasicBlock*, 64> Visited;
19381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  SmallVector<BasicBlock*, 32> Worklist;
19481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  Worklist.push_back(const_cast<BasicBlock*>(A->getParent()));
19581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
19681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  do {
19781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    BasicBlock *BB = Worklist.pop_back_val();
19881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    if (!Visited.insert(BB))
19981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      continue;
20081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    if (BB == StopBB)
20181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      return true;
20281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    if (DT && DT->dominates(BB, StopBB))
20381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      return true;
20481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    if (LI && loopContainsBoth(LI, BB, StopBB))
20581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      return true;
20681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
20781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    if (!--Limit) {
20881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      // We haven't been able to prove it one way or the other. Conservatively
20981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      // answer true -- that there is potentially a path.
21081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      return true;
21181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    }
21281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
21381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    if (const Loop *Outer = LI ? getOutermostLoop(LI, BB) : 0) {
21481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      // All blocks in a single loop are reachable from all other blocks. From
21581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      // any of these blocks, we can skip directly to the exits of the loop,
21681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      // ignoring any other blocks inside the loop body.
21781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      Outer->getExitBlocks(Worklist);
21881e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    } else {
21981e480463d8bb57776d03cebfd083762909023f1Nick Lewycky      for (succ_iterator I = succ_begin(BB), E = succ_end(BB); I != E; ++I)
22081e480463d8bb57776d03cebfd083762909023f1Nick Lewycky        Worklist.push_back(*I);
22181e480463d8bb57776d03cebfd083762909023f1Nick Lewycky    }
22281e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  } while (!Worklist.empty());
22381e480463d8bb57776d03cebfd083762909023f1Nick Lewycky
22481e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // We have exhaustived all possible paths and are certain that 'To' can not
22581e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  // be reached from 'From'.
22681e480463d8bb57776d03cebfd083762909023f1Nick Lewycky  return false;
22781e480463d8bb57776d03cebfd083762909023f1Nick Lewycky}
228