-//===- llvm/Analysis/Dominators.h - Dominator Info Calculation ---*- C++ -*--=//
+//===- llvm/Analysis/Dominators.h - Dominator Info Calculation --*- C++ -*-===//
+//
+// The LLVM Compiler Infrastructure
+//
+// This file was developed by the LLVM research group and is distributed under
+// the University of Illinois Open Source License. See LICENSE.TXT for details.
+//
+//===----------------------------------------------------------------------===//
//
// This file defines the following classes:
-// 1. DominatorSet: Calculates the [reverse] dominator set for a function
-// 2. ImmediateDominators: Calculates and holds a mapping between BasicBlocks
+// 1. ImmediateDominators: Calculates and holds a mapping between BasicBlocks
// and their immediate dominator.
+// 2. DominatorSet: Calculates the [reverse] dominator set for a function
// 3. DominatorTree: Represent the ImmediateDominator as an explicit tree
// structure.
-// 4. DominanceFrontier: Calculate and hold the dominance frontier for a
+// 4. ETForest: Efficient data structure for dominance comparisons and
+// nearest-common-ancestor queries.
+// 5. DominanceFrontier: Calculate and hold the dominance frontier for a
// function.
//
// These data structures are listed in increasing order of complexity. It
-// takes longer to calculate the dominator frontier, for example, than the
+// takes longer to calculate the dominator frontier, for example, than the
// ImmediateDominator mapping.
-//
+//
//===----------------------------------------------------------------------===//
#ifndef LLVM_ANALYSIS_DOMINATORS_H
#define LLVM_ANALYSIS_DOMINATORS_H
+#include "llvm/Analysis/ET-Forest.h"
#include "llvm/Pass.h"
#include <set>
+
+namespace llvm {
+
class Instruction;
template <typename GraphType> struct GraphTraits;
//===----------------------------------------------------------------------===//
-//
-// DominatorBase - Base class that other, more interesting dominator analyses
-// inherit from.
-//
+/// DominatorBase - Base class that other, more interesting dominator analyses
+/// inherit from.
+///
class DominatorBase : public FunctionPass {
protected:
- BasicBlock *Root;
+ std::vector<BasicBlock*> Roots;
const bool IsPostDominators;
- inline DominatorBase(bool isPostDom) : Root(0), IsPostDominators(isPostDom) {}
+ inline DominatorBase(bool isPostDom) : Roots(), IsPostDominators(isPostDom) {}
public:
- inline BasicBlock *getRoot() const { return Root; }
+ /// getRoots - Return the root blocks of the current CFG. This may include
+ /// multiple blocks if we are computing post dominators. For forward
+ /// dominators, this will always be a single block (the entry node).
+ ///
+ inline const std::vector<BasicBlock*> &getRoots() const { return Roots; }
- // Returns true if analysis based of postdoms
+ /// isPostDominator - Returns true if analysis based of postdoms
+ ///
bool isPostDominator() const { return IsPostDominators; }
};
+
//===----------------------------------------------------------------------===//
-//
-// DominatorSet - Maintain a set<BasicBlock*> for every basic block in a
-// function, that represents the blocks that dominate the block.
-//
+/// ImmediateDominators - Calculate the immediate dominator for each node in a
+/// function.
+///
+class ImmediateDominatorsBase : public DominatorBase {
+protected:
+ struct InfoRec {
+ unsigned Semi;
+ unsigned Size;
+ BasicBlock *Label, *Parent, *Child, *Ancestor;
+
+ std::vector<BasicBlock*> Bucket;
+
+ InfoRec() : Semi(0), Size(0), Label(0), Parent(0), Child(0), Ancestor(0){}
+ };
+
+ std::map<BasicBlock*, BasicBlock*> IDoms;
+
+ // Vertex - Map the DFS number to the BasicBlock*
+ std::vector<BasicBlock*> Vertex;
+
+ // Info - Collection of information used during the computation of idoms.
+ std::map<BasicBlock*, InfoRec> Info;
+public:
+ ImmediateDominatorsBase(bool isPostDom) : DominatorBase(isPostDom) {}
+
+ virtual void releaseMemory() { IDoms.clear(); }
+
+ // Accessor interface:
+ typedef std::map<BasicBlock*, BasicBlock*> IDomMapType;
+ typedef IDomMapType::const_iterator const_iterator;
+ inline const_iterator begin() const { return IDoms.begin(); }
+ inline const_iterator end() const { return IDoms.end(); }
+ inline const_iterator find(BasicBlock* B) const { return IDoms.find(B);}
+
+ /// operator[] - Return the idom for the specified basic block. The start
+ /// node returns null, because it does not have an immediate dominator.
+ ///
+ inline BasicBlock *operator[](BasicBlock *BB) const {
+ return get(BB);
+ }
+
+ /// get() - Synonym for operator[].
+ ///
+ inline BasicBlock *get(BasicBlock *BB) const {
+ std::map<BasicBlock*, BasicBlock*>::const_iterator I = IDoms.find(BB);
+ return I != IDoms.end() ? I->second : 0;
+ }
+
+ //===--------------------------------------------------------------------===//
+ // API to update Immediate(Post)Dominators information based on modifications
+ // to the CFG...
+
+ /// addNewBlock - Add a new block to the CFG, with the specified immediate
+ /// dominator.
+ ///
+ void addNewBlock(BasicBlock *BB, BasicBlock *IDom) {
+ assert(get(BB) == 0 && "BasicBlock already in idom info!");
+ IDoms[BB] = IDom;
+ }
+
+ /// setImmediateDominator - Update the immediate dominator information to
+ /// change the current immediate dominator for the specified block to another
+ /// block. This method requires that BB already have an IDom, otherwise just
+ /// use addNewBlock.
+ ///
+ void setImmediateDominator(BasicBlock *BB, BasicBlock *NewIDom) {
+ assert(IDoms.find(BB) != IDoms.end() && "BB doesn't have idom yet!");
+ IDoms[BB] = NewIDom;
+ }
+
+ /// print - Convert to human readable form
+ ///
+ virtual void print(std::ostream &OS, const Module* = 0) const;
+};
+
+//===-------------------------------------
+/// ImmediateDominators Class - Concrete subclass of ImmediateDominatorsBase
+/// that is used to compute a normal immediate dominator set.
+///
+class ImmediateDominators : public ImmediateDominatorsBase {
+public:
+ ImmediateDominators() : ImmediateDominatorsBase(false) {}
+
+ BasicBlock *getRoot() const {
+ assert(Roots.size() == 1 && "Should always have entry node!");
+ return Roots[0];
+ }
+
+ virtual bool runOnFunction(Function &F);
+
+ virtual void getAnalysisUsage(AnalysisUsage &AU) const {
+ AU.setPreservesAll();
+ }
+
+private:
+ unsigned DFSPass(BasicBlock *V, InfoRec &VInfo, unsigned N);
+ void Compress(BasicBlock *V, InfoRec &VInfo);
+ BasicBlock *Eval(BasicBlock *v);
+ void Link(BasicBlock *V, BasicBlock *W, InfoRec &WInfo);
+};
+
+
+
+//===----------------------------------------------------------------------===//
+/// DominatorSet - Maintain a set<BasicBlock*> for every basic block in a
+/// function, that represents the blocks that dominate the block. If the block
+/// is unreachable in this function, the set will be empty. This cannot happen
+/// for reachable code, because every block dominates at least itself.
+///
class DominatorSetBase : public DominatorBase {
public:
typedef std::set<BasicBlock*> DomSetType; // Dom set for a bb
return I->second;
}
+ /// isReachable - Return true if the specified basicblock is reachable. If
+ /// the block is reachable, we have dominator set information for it.
+ ///
+ bool isReachable(BasicBlock *BB) const {
+ return !getDominators(BB).empty();
+ }
+
/// dominates - Return true if A dominates B.
///
inline bool dominates(BasicBlock *A, BasicBlock *B) const {
}
/// print - Convert to human readable form
- virtual void print(std::ostream &OS) const;
+ ///
+ virtual void print(std::ostream &OS, const Module* = 0) const;
/// dominates - Return true if A dominates B. This performs the special
- /// checks neccesary if A and B are in the same basic block.
+ /// checks necessary if A and B are in the same basic block.
///
bool dominates(Instruction *A, Instruction *B) const;
/// addBasicBlock - Call to update the dominator set with information about a
/// new block that was inserted into the function.
+ ///
void addBasicBlock(BasicBlock *BB, const DomSetType &Dominators) {
assert(find(BB) == end() && "Block already in DominatorSet!");
Doms.insert(std::make_pair(BB, Dominators));
}
- // addDominator - If a new block is inserted into the CFG, then method may be
- // called to notify the blocks it dominates that it is in their set.
- //
+ /// addDominator - If a new block is inserted into the CFG, then method may be
+ /// called to notify the blocks it dominates that it is in their set.
+ ///
void addDominator(BasicBlock *BB, BasicBlock *NewDominator) {
iterator I = find(BB);
assert(I != end() && "BB is not in DominatorSet!");
//===-------------------------------------
-// DominatorSet Class - Concrete subclass of DominatorSetBase that is used to
-// compute a normal dominator set.
-//
-struct DominatorSet : public DominatorSetBase {
+/// DominatorSet Class - Concrete subclass of DominatorSetBase that is used to
+/// compute a normal dominator set.
+///
+class DominatorSet : public DominatorSetBase {
+public:
DominatorSet() : DominatorSetBase(false) {}
virtual bool runOnFunction(Function &F);
- /// recalculate - This method may be called by external passes that modify the
- /// CFG and then need dominator information recalculated. This method is
- /// obviously really slow, so it should be avoided if at all possible.
- void recalculate();
-
- // getAnalysisUsage - This simply provides a dominator set
- virtual void getAnalysisUsage(AnalysisUsage &AU) const {
- AU.setPreservesAll();
- }
-private:
- void calculateDominatorsFromBlock(BasicBlock *BB);
-};
-
-
-//===----------------------------------------------------------------------===//
-//
-// ImmediateDominators - Calculate the immediate dominator for each node in a
-// function.
-//
-class ImmediateDominatorsBase : public DominatorBase {
-protected:
- std::map<BasicBlock*, BasicBlock*> IDoms;
- void calcIDoms(const DominatorSetBase &DS);
-public:
- ImmediateDominatorsBase(bool isPostDom) : DominatorBase(isPostDom) {}
-
- virtual void releaseMemory() { IDoms.clear(); }
-
- // Accessor interface:
- typedef std::map<BasicBlock*, BasicBlock*> IDomMapType;
- typedef IDomMapType::const_iterator const_iterator;
- inline const_iterator begin() const { return IDoms.begin(); }
- inline const_iterator end() const { return IDoms.end(); }
- inline const_iterator find(BasicBlock* B) const { return IDoms.find(B);}
-
- // operator[] - Return the idom for the specified basic block. The start
- // node returns null, because it does not have an immediate dominator.
- //
- inline BasicBlock *operator[](BasicBlock *BB) const {
- return get(BB);
- }
-
- // get() - Synonym for operator[].
- inline BasicBlock *get(BasicBlock *BB) const {
- std::map<BasicBlock*, BasicBlock*>::const_iterator I = IDoms.find(BB);
- return I != IDoms.end() ? I->second : 0;
+ BasicBlock *getRoot() const {
+ assert(Roots.size() == 1 && "Should always have entry node!");
+ return Roots[0];
}
- //===--------------------------------------------------------------------===//
- // API to update Immediate(Post)Dominators information based on modifications
- // to the CFG...
-
- /// addNewBlock - Add a new block to the CFG, with the specified immediate
- /// dominator.
+ /// getAnalysisUsage - This simply provides a dominator set
///
- void addNewBlock(BasicBlock *BB, BasicBlock *IDom) {
- assert(get(BB) == 0 && "BasicBlock already in idom info!");
- IDoms[BB] = IDom;
- }
-
- /// setImmediateDominator - Update the immediate dominator information to
- /// change the current immediate dominator for the specified block to another
- /// block. This method requires that BB already have an IDom, otherwise just
- /// use addNewBlock.
- void setImmediateDominator(BasicBlock *BB, BasicBlock *NewIDom) {
- assert(IDoms.find(BB) != IDoms.end() && "BB doesn't have idom yet!");
- IDoms[BB] = NewIDom;
- }
-
- // print - Convert to human readable form
- virtual void print(std::ostream &OS) const;
-};
-
-//===-------------------------------------
-// ImmediateDominators Class - Concrete subclass of ImmediateDominatorsBase that
-// is used to compute a normal immediate dominator set.
-//
-struct ImmediateDominators : public ImmediateDominatorsBase {
- ImmediateDominators() : ImmediateDominatorsBase(false) {}
-
- virtual bool runOnFunction(Function &F) {
- IDoms.clear(); // Reset from the last time we were run...
- DominatorSet &DS = getAnalysis<DominatorSet>();
- Root = DS.getRoot();
- calcIDoms(DS);
- return false;
- }
-
virtual void getAnalysisUsage(AnalysisUsage &AU) const {
+ AU.addRequired<ImmediateDominators>();
AU.setPreservesAll();
- AU.addRequired<DominatorSet>();
}
+
+ // stub - dummy function, just ignore it
+ static int stub;
};
//===----------------------------------------------------------------------===//
-//
-// DominatorTree - Calculate the immediate dominator tree for a function.
-//
+/// DominatorTree - Calculate the immediate dominator tree for a function.
+///
class DominatorTreeBase : public DominatorBase {
-protected:
- class Node2;
public:
- typedef Node2 Node;
+ class Node;
protected:
std::map<BasicBlock*, Node*> Nodes;
void reset();
typedef std::map<BasicBlock*, Node*> NodeMapType;
+
+ Node *RootNode;
public:
- class Node2 {
- friend class DominatorTree;
- friend class PostDominatorTree;
- friend class DominatorTreeBase;
- BasicBlock *TheNode;
- Node2 *IDom;
+ class Node {
+ friend struct DominatorTree;
+ friend struct PostDominatorTree;
+ friend struct DominatorTreeBase;
+ BasicBlock *TheBB;
+ Node *IDom;
std::vector<Node*> Children;
public:
typedef std::vector<Node*>::iterator iterator;
const_iterator begin() const { return Children.begin(); }
const_iterator end() const { return Children.end(); }
- inline BasicBlock *getNode() const { return TheNode; }
- inline Node2 *getIDom() const { return IDom; }
+ inline BasicBlock *getBlock() const { return TheBB; }
+ inline Node *getIDom() const { return IDom; }
inline const std::vector<Node*> &getChildren() const { return Children; }
- // dominates - Returns true iff this dominates N. Note that this is not a
- // constant time operation!
- inline bool dominates(const Node2 *N) const {
- const Node2 *IDom;
+ /// properlyDominates - Returns true iff this dominates N and this != N.
+ /// Note that this is not a constant time operation!
+ ///
+ bool properlyDominates(const Node *N) const {
+ const Node *IDom;
+ if (this == 0 || N == 0) return false;
while ((IDom = N->getIDom()) != 0 && IDom != this)
- N = IDom; // Walk up the tree
+ N = IDom; // Walk up the tree
return IDom != 0;
}
+ /// dominates - Returns true iff this dominates N. Note that this is not a
+ /// constant time operation!
+ ///
+ inline bool dominates(const Node *N) const {
+ if (N == this) return true; // A node trivially dominates itself.
+ return properlyDominates(N);
+ }
+
private:
- inline Node2(BasicBlock *node, Node *iDom)
- : TheNode(node), IDom(iDom) {}
- inline Node2 *addChild(Node *C) { Children.push_back(C); return C; }
+ inline Node(BasicBlock *BB, Node *iDom) : TheBB(BB), IDom(iDom) {}
+ inline Node *addChild(Node *C) { Children.push_back(C); return C; }
- void setIDom(Node2 *NewIDom);
+ void setIDom(Node *NewIDom);
};
public:
return getNode(BB);
}
- //===--------------------------------------------------------------------===// // API to update (Post)DominatorTree information based on modifications to
+ /// getRootNode - This returns the entry node for the CFG of the function. If
+ /// this tree represents the post-dominance relations for a function, however,
+ /// this root may be a node with the block == NULL. This is the case when
+ /// there are multiple exit nodes from a particular function. Consumers of
+ /// post-dominance information must be capable of dealing with this
+ /// possibility.
+ ///
+ Node *getRootNode() { return RootNode; }
+ const Node *getRootNode() const { return RootNode; }
+
+ //===--------------------------------------------------------------------===//
+ // API to update (Post)DominatorTree information based on modifications to
// the CFG...
/// createNewNode - Add a new node to the dominator tree information. This
/// changeImmediateDominator - This method is used to update the dominator
/// tree information when a node's immediate dominator changes.
///
- void changeImmediateDominator(Node *Node, Node *NewIDom) {
- assert(Node && NewIDom && "Cannot change null node pointers!");
- Node->setIDom(NewIDom);
+ void changeImmediateDominator(Node *N, Node *NewIDom) {
+ assert(N && NewIDom && "Cannot change null node pointers!");
+ N->setIDom(NewIDom);
}
/// print - Convert to human readable form
- virtual void print(std::ostream &OS) const;
+ ///
+ virtual void print(std::ostream &OS, const Module* = 0) const;
};
//===-------------------------------------
-// DominatorTree Class - Concrete subclass of DominatorTreeBase that is used to
-// compute a normal dominator tree.
-//
-struct DominatorTree : public DominatorTreeBase {
+/// ET-Forest Class - Class used to construct forwards and backwards
+/// ET-Forests
+///
+class ETForestBase : public DominatorBase {
+public:
+ ETForestBase(bool isPostDom) : DominatorBase(isPostDom), Nodes(),
+ DFSInfoValid(false), SlowQueries(0) {}
+
+ virtual void releaseMemory() { reset(); }
+
+ typedef std::map<BasicBlock*, ETNode*> ETMapType;
+
+ void updateDFSNumbers();
+
+ /// dominates - Return true if A dominates B.
+ ///
+ inline bool dominates(BasicBlock *A, BasicBlock *B) {
+ if (A == B)
+ return true;
+
+ ETNode *NodeA = getNode(A);
+ ETNode *NodeB = getNode(B);
+
+ if (DFSInfoValid)
+ return NodeB->DominatedBy(NodeA);
+ else {
+ // If we end up with too many slow queries, just update the
+ // DFS numbers on the theory that we are going to keep querying.
+ SlowQueries++;
+ if (SlowQueries > 32) {
+ updateDFSNumbers();
+ return NodeB->DominatedBy(NodeA);
+ }
+ return NodeB->DominatedBySlow(NodeA);
+ }
+ }
+
+ /// properlyDominates - Return true if A dominates B and A != B.
+ ///
+ bool properlyDominates(BasicBlock *A, BasicBlock *B) {
+ return dominates(A, B) && A != B;
+ }
+
+ /// Return the nearest common dominator of A and B.
+ BasicBlock *nearestCommonDominator(BasicBlock *A, BasicBlock *B) const {
+ ETNode *NodeA = getNode(A);
+ ETNode *NodeB = getNode(B);
+
+ ETNode *Common = NodeA->NCA(NodeB);
+ if (!Common)
+ return NULL;
+ return Common->getData<BasicBlock>();
+ }
+
+ virtual void getAnalysisUsage(AnalysisUsage &AU) const {
+ AU.setPreservesAll();
+ AU.addRequired<ImmediateDominators>();
+ }
+ //===--------------------------------------------------------------------===//
+ // API to update Forest information based on modifications
+ // to the CFG...
+
+ /// addNewBlock - Add a new block to the CFG, with the specified immediate
+ /// dominator.
+ ///
+ void addNewBlock(BasicBlock *BB, BasicBlock *IDom);
+
+ /// setImmediateDominator - Update the immediate dominator information to
+ /// change the current immediate dominator for the specified block
+ /// to another block. This method requires that BB for NewIDom
+ /// already have an ETNode, otherwise just use addNewBlock.
+ ///
+ void setImmediateDominator(BasicBlock *BB, BasicBlock *NewIDom);
+ /// print - Convert to human readable form
+ ///
+ virtual void print(std::ostream &OS, const Module* = 0) const;
+protected:
+ /// getNode - return the (Post)DominatorTree node for the specified basic
+ /// block. This is the same as using operator[] on this class.
+ ///
+ inline ETNode *getNode(BasicBlock *BB) const {
+ ETMapType::const_iterator i = Nodes.find(BB);
+ return (i != Nodes.end()) ? i->second : 0;
+ }
+
+ inline ETNode *operator[](BasicBlock *BB) const {
+ return getNode(BB);
+ }
+
+ void reset();
+ ETMapType Nodes;
+ bool DFSInfoValid;
+ unsigned int SlowQueries;
+
+};
+
+//==-------------------------------------
+/// ETForest Class - Concrete subclass of ETForestBase that is used to
+/// compute a forwards ET-Forest.
+
+class ETForest : public ETForestBase {
+public:
+ ETForest() : ETForestBase(false) {}
+
+ BasicBlock *getRoot() const {
+ assert(Roots.size() == 1 && "Should always have entry node!");
+ return Roots[0];
+ }
+
+ virtual bool runOnFunction(Function &F) {
+ reset(); // Reset from the last time we were run...
+ ImmediateDominators &ID = getAnalysis<ImmediateDominators>();
+ Roots = ID.getRoots();
+ calculate(ID);
+ return false;
+ }
+
+ void calculate(const ImmediateDominators &ID);
+ ETNode *getNodeForBlock(BasicBlock *BB);
+};
+
+//===-------------------------------------
+/// DominatorTree Class - Concrete subclass of DominatorTreeBase that is used to
+/// compute a normal dominator tree.
+///
+class DominatorTree : public DominatorTreeBase {
+public:
DominatorTree() : DominatorTreeBase(false) {}
+ BasicBlock *getRoot() const {
+ assert(Roots.size() == 1 && "Should always have entry node!");
+ return Roots[0];
+ }
+
virtual bool runOnFunction(Function &F) {
reset(); // Reset from the last time we were run...
- DominatorSet &DS = getAnalysis<DominatorSet>();
- Root = DS.getRoot();
- calculate(DS);
+ ImmediateDominators &ID = getAnalysis<ImmediateDominators>();
+ Roots = ID.getRoots();
+ calculate(ID);
return false;
}
virtual void getAnalysisUsage(AnalysisUsage &AU) const {
AU.setPreservesAll();
- AU.addRequired<DominatorSet>();
+ AU.addRequired<ImmediateDominators>();
}
private:
- void calculate(const DominatorSet &DS);
+ void calculate(const ImmediateDominators &ID);
+ Node *getNodeForBlock(BasicBlock *BB);
};
//===-------------------------------------
-// DominatorTree GraphTraits specialization so the DominatorTree can be
-// iterable by generic graph iterators.
-
+/// DominatorTree GraphTraits specialization so the DominatorTree can be
+/// iterable by generic graph iterators.
+///
template <> struct GraphTraits<DominatorTree::Node*> {
typedef DominatorTree::Node NodeType;
typedef NodeType::iterator ChildIteratorType;
template <> struct GraphTraits<DominatorTree*>
: public GraphTraits<DominatorTree::Node*> {
static NodeType *getEntryNode(DominatorTree *DT) {
- return DT->getNode(DT->getRoot());
+ return DT->getRootNode();
}
};
//===----------------------------------------------------------------------===//
-//
-// DominanceFrontier - Calculate the dominance frontiers for a function.
-//
+/// DominanceFrontierBase - Common base class for computing forward and inverse
+/// dominance frontiers for a function.
+///
class DominanceFrontierBase : public DominatorBase {
public:
typedef std::set<BasicBlock*> DomSetType; // Dom set for a bb
I->second.erase(Node);
}
- // print - Convert to human readable form
- virtual void print(std::ostream &OS) const;
+ /// print - Convert to human readable form
+ ///
+ virtual void print(std::ostream &OS, const Module* = 0) const;
};
//===-------------------------------------
-// DominatorTree Class - Concrete subclass of DominatorTreeBase that is used to
-// compute a normal dominator tree.
-//
-struct DominanceFrontier : public DominanceFrontierBase {
+/// DominanceFrontier Class - Concrete subclass of DominanceFrontierBase that is
+/// used to compute a forward dominator frontiers.
+///
+class DominanceFrontier : public DominanceFrontierBase {
+public:
DominanceFrontier() : DominanceFrontierBase(false) {}
+ BasicBlock *getRoot() const {
+ assert(Roots.size() == 1 && "Should always have entry node!");
+ return Roots[0];
+ }
+
virtual bool runOnFunction(Function &) {
Frontiers.clear();
DominatorTree &DT = getAnalysis<DominatorTree>();
- Root = DT.getRoot();
- calculate(DT, DT[Root]);
+ Roots = DT.getRoots();
+ assert(Roots.size() == 1 && "Only one entry block for forward domfronts!");
+ calculate(DT, DT[Roots[0]]);
return false;
}
const DominatorTree::Node *Node);
};
+
+} // End llvm namespace
+
+// Make sure that any clients of this file link in Dominators.cpp
+FORCE_DEFINING_FILE_TO_BE_LINKED(DominatorSet)
+
#endif
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