#include "llvm/CodeGen/MachineBasicBlock.h"
#include "llvm/ADT/DenseMap.h"
+#include "llvm/ADT/BitVector.h"
#include "llvm/ADT/GraphTraits.h"
#include "llvm/ADT/SmallVector.h"
+#include "llvm/ADT/PointerIntPair.h"
namespace llvm {
- struct SUnit;
+ class SUnit;
class MachineConstantPool;
class MachineFunction;
class MachineModuleInfo;
class MachineInstr;
class TargetRegisterInfo;
class ScheduleDAG;
- class SelectionDAG;
class SDNode;
class TargetInstrInfo;
class TargetInstrDesc;
class TargetRegisterClass;
template<class Graph> class GraphWriter;
- /// SDep - Scheduling dependency. It keeps track of dependent nodes,
- /// cost of the depdenency, etc.
- struct SDep {
- SUnit *Dep; // Dependent - either a predecessor or a successor.
- unsigned Reg; // If non-zero, this dep is a physreg dependency.
- int Cost; // Cost of the dependency.
- bool isCtrl : 1; // True iff it's a control dependency.
- bool isArtificial : 1; // True iff it's an artificial ctrl dep added
- // during sched that may be safely deleted if
- // necessary.
- bool isAntiDep : 1; // True iff it's an anti-dependency (on a physical
- // register.
- SDep(SUnit *d, unsigned r, int t, bool c, bool a, bool anti)
- : Dep(d), Reg(r), Cost(t), isCtrl(c), isArtificial(a), isAntiDep(anti) {}
+ /// SDep - Scheduling dependency. This represents one direction of an
+ /// edge in the scheduling DAG.
+ class SDep {
+ public:
+ /// Kind - These are the different kinds of scheduling dependencies.
+ enum Kind {
+ Data, ///< Regular data dependence (aka true-dependence).
+ Anti, ///< A register anti-dependedence (aka WAR).
+ Output, ///< A register output-dependence (aka WAW).
+ Order ///< Any other ordering dependency.
+ };
+
+ private:
+ /// Dep - A pointer to the depending/depended-on SUnit, and an enum
+ /// indicating the kind of the dependency.
+ PointerIntPair<SUnit *, 2, Kind> Dep;
+
+ /// Contents - A union discriminated by the dependence kind.
+ union {
+ /// Reg - For Data, Anti, and Output dependencies, the associated
+ /// register. For Data dependencies that don't currently have a register
+ /// assigned, this is set to zero.
+ unsigned Reg;
+
+ /// Order - Additional information about Order dependencies.
+ struct {
+ /// isNormalMemory - True if both sides of the dependence
+ /// access memory in non-volatile and fully modeled ways.
+ bool isNormalMemory : 1;
+
+ /// isMustAlias - True if both sides of the dependence are known to
+ /// access the same memory.
+ bool isMustAlias : 1;
+
+ /// isArtificial - True if this is an artificial dependency, meaning
+ /// it is not necessary for program correctness, and may be safely
+ /// deleted if necessary.
+ bool isArtificial : 1;
+ } Order;
+ } Contents;
+
+ /// Latency - The time associated with this edge. Often this is just
+ /// the value of the Latency field of the predecessor, however advanced
+ /// models may provide additional information about specific edges.
+ unsigned Latency;
+
+ public:
+ /// SDep - Construct a null SDep. This is only for use by container
+ /// classes which require default constructors. SUnits may not
+ /// have null SDep edges.
+ SDep() : Dep(0, Data) {}
+
+ /// SDep - Construct an SDep with the specified values.
+ SDep(SUnit *S, Kind kind, unsigned latency = 1, unsigned Reg = 0,
+ bool isNormalMemory = false, bool isMustAlias = false,
+ bool isArtificial = false)
+ : Dep(S, kind), Contents(), Latency(latency) {
+ switch (kind) {
+ case Anti:
+ case Output:
+ assert(Reg != 0 &&
+ "SDep::Anti and SDep::Output must use a non-zero Reg!");
+ // fall through
+ case Data:
+ assert(!isMustAlias && "isMustAlias only applies with SDep::Order!");
+ assert(!isArtificial && "isArtificial only applies with SDep::Order!");
+ Contents.Reg = Reg;
+ break;
+ case Order:
+ assert(Reg == 0 && "Reg given for non-register dependence!");
+ Contents.Order.isNormalMemory = isNormalMemory;
+ Contents.Order.isMustAlias = isMustAlias;
+ Contents.Order.isArtificial = isArtificial;
+ break;
+ }
+ }
+
+ bool operator==(const SDep &Other) const {
+ if (Dep != Other.Dep || Latency != Other.Latency) return false;
+ switch (Dep.getInt()) {
+ case Data:
+ case Anti:
+ case Output:
+ return Contents.Reg == Other.Contents.Reg;
+ case Order:
+ return Contents.Order.isNormalMemory ==
+ Other.Contents.Order.isNormalMemory &&
+ Contents.Order.isMustAlias == Other.Contents.Order.isMustAlias &&
+ Contents.Order.isArtificial == Other.Contents.Order.isArtificial;
+ }
+ assert(0 && "Invalid dependency kind!");
+ return false;
+ }
+
+ bool operator!=(const SDep &Other) const {
+ return !operator==(Other);
+ }
+
+ /// getLatency - Return the latency value for this edge, which roughly
+ /// means the minimum number of cycles that must elapse between the
+ /// predecessor and the successor, given that they have this edge
+ /// between them.
+ unsigned getLatency() const {
+ return Latency;
+ }
+
+ /// setLatency - Set the latency for this edge.
+ void setLatency(unsigned Lat) {
+ Latency = Lat;
+ }
+
+ //// getSUnit - Return the SUnit to which this edge points.
+ SUnit *getSUnit() const {
+ return Dep.getPointer();
+ }
+
+ //// setSUnit - Assign the SUnit to which this edge points.
+ void setSUnit(SUnit *SU) {
+ Dep.setPointer(SU);
+ }
+
+ /// getKind - Return an enum value representing the kind of the dependence.
+ Kind getKind() const {
+ return Dep.getInt();
+ }
+
+ /// isCtrl - Shorthand for getKind() != SDep::Data.
+ bool isCtrl() const {
+ return getKind() != Data;
+ }
+
+ /// isNormalMemory - Test if this is an Order dependence between two
+ /// memory accesses where both sides of the dependence access memory
+ /// in non-volatile and fully modeled ways.
+ bool isNormalMemory() const {
+ return getKind() == Order && Contents.Order.isNormalMemory;
+ }
+
+ /// isMustAlias - Test if this is an Order dependence that is marked
+ /// as "must alias", meaning that the SUnits at either end of the edge
+ /// have a memory dependence on a known memory location.
+ bool isMustAlias() const {
+ return getKind() == Order && Contents.Order.isMustAlias;
+ }
+
+ /// isArtificial - Test if this is an Order dependence that is marked
+ /// as "artificial", meaning it isn't necessary for correctness.
+ bool isArtificial() const {
+ return getKind() == Order && Contents.Order.isArtificial;
+ }
+
+ /// isAssignedRegDep - Test if this is a Data dependence that is
+ /// associated with a register.
+ bool isAssignedRegDep() const {
+ return getKind() == Data && Contents.Reg != 0;
+ }
+
+ /// getReg - Return the register associated with this edge. This is
+ /// only valid on Data, Anti, and Output edges. On Data edges, this
+ /// value may be zero, meaning there is no associated register.
+ unsigned getReg() const {
+ assert((getKind() == Data || getKind() == Anti || getKind() == Output) &&
+ "getReg called on non-register dependence edge!");
+ return Contents.Reg;
+ }
+
+ /// setReg - Assign the associated register for this edge. This is
+ /// only valid on Data, Anti, and Output edges. On Anti and Output
+ /// edges, this value must not be zero. On Data edges, the value may
+ /// be zero, which would mean that no specific register is associated
+ /// with this edge.
+ void setReg(unsigned Reg) {
+ assert((getKind() == Data || getKind() == Anti || getKind() == Output) &&
+ "setReg called on non-register dependence edge!");
+ assert((getKind() != Anti || Reg != 0) &&
+ "SDep::Anti edge cannot use the zero register!");
+ assert((getKind() != Output || Reg != 0) &&
+ "SDep::Output edge cannot use the zero register!");
+ Contents.Reg = Reg;
+ }
};
/// SUnit - Scheduling unit. This is a node in the scheduling DAG.
- struct SUnit {
+ class SUnit {
private:
SDNode *Node; // Representative node.
MachineInstr *Instr; // Alternatively, a MachineInstr.
unsigned NodeNum; // Entry # of node in the node vector.
unsigned NodeQueueId; // Queue id of node.
unsigned short Latency; // Node latency.
- short NumPreds; // # of non-control preds.
- short NumSuccs; // # of non-control sucss.
+ short NumPreds; // # of SDep::Data preds.
+ short NumSuccs; // # of SDep::Data sucss.
short NumPredsLeft; // # of preds not scheduled.
short NumSuccsLeft; // # of succs not scheduled.
bool isTwoAddress : 1; // Is a two-address instruction.
bool isCommutable : 1; // Is a commutable instruction.
bool hasPhysRegDefs : 1; // Has physreg defs that are being used.
+ bool hasPhysRegClobbers : 1; // Has any physreg defs, used or not.
bool isPending : 1; // True once pending.
bool isAvailable : 1; // True once available.
bool isScheduled : 1; // True once scheduled.
- unsigned CycleBound; // Upper/lower cycle to be scheduled at.
- unsigned Cycle; // Once scheduled, the cycle of the op.
- unsigned Depth; // Node depth;
- unsigned Height; // Node height;
+ bool isScheduleHigh : 1; // True if preferable to schedule high.
+ bool isCloned : 1; // True if this node has been cloned.
+ private:
+ bool isDepthCurrent : 1; // True if Depth is current.
+ bool isHeightCurrent : 1; // True if Height is current.
+ unsigned Depth; // Node depth.
+ unsigned Height; // Node height.
+ public:
const TargetRegisterClass *CopyDstRC; // Is a special copy node if not null.
const TargetRegisterClass *CopySrcRC;
: Node(node), Instr(0), OrigNode(0), NodeNum(nodenum), NodeQueueId(0),
Latency(0), NumPreds(0), NumSuccs(0), NumPredsLeft(0), NumSuccsLeft(0),
isTwoAddress(false), isCommutable(false), hasPhysRegDefs(false),
+ hasPhysRegClobbers(false),
isPending(false), isAvailable(false), isScheduled(false),
- CycleBound(0), Cycle(~0u), Depth(0), Height(0),
+ isScheduleHigh(false), isCloned(false),
+ isDepthCurrent(false), isHeightCurrent(false), Depth(0), Height(0),
CopyDstRC(NULL), CopySrcRC(NULL) {}
/// SUnit - Construct an SUnit for post-regalloc scheduling to represent
: Node(0), Instr(instr), OrigNode(0), NodeNum(nodenum), NodeQueueId(0),
Latency(0), NumPreds(0), NumSuccs(0), NumPredsLeft(0), NumSuccsLeft(0),
isTwoAddress(false), isCommutable(false), hasPhysRegDefs(false),
+ hasPhysRegClobbers(false),
+ isPending(false), isAvailable(false), isScheduled(false),
+ isScheduleHigh(false), isCloned(false),
+ isDepthCurrent(false), isHeightCurrent(false), Depth(0), Height(0),
+ CopyDstRC(NULL), CopySrcRC(NULL) {}
+
+ /// SUnit - Construct a placeholder SUnit.
+ SUnit()
+ : Node(0), Instr(0), OrigNode(0), NodeNum(~0u), NodeQueueId(0),
+ Latency(0), NumPreds(0), NumSuccs(0), NumPredsLeft(0), NumSuccsLeft(0),
+ isTwoAddress(false), isCommutable(false), hasPhysRegDefs(false),
+ hasPhysRegClobbers(false),
isPending(false), isAvailable(false), isScheduled(false),
- CycleBound(0), Cycle(~0u), Depth(0), Height(0),
+ isScheduleHigh(false), isCloned(false),
+ isDepthCurrent(false), isHeightCurrent(false), Depth(0), Height(0),
CopyDstRC(NULL), CopySrcRC(NULL) {}
/// setNode - Assign the representative SDNode for this SUnit.
return Instr;
}
- /// addPred - This adds the specified node as a pred of the current node if
+ /// addPred - This adds the specified edge as a pred of the current node if
/// not already. It also adds the current node as a successor of the
- /// specified node. This returns true if this is a new pred.
- bool addPred(SUnit *N, bool isCtrl, bool isArtificial,
- unsigned PhyReg = 0, int Cost = 1, bool isAntiDep = false) {
- for (unsigned i = 0, e = (unsigned)Preds.size(); i != e; ++i)
- if (Preds[i].Dep == N &&
- Preds[i].isCtrl == isCtrl && Preds[i].isArtificial == isArtificial)
- return false;
- Preds.push_back(SDep(N, PhyReg, Cost, isCtrl, isArtificial, isAntiDep));
- N->Succs.push_back(SDep(this, PhyReg, Cost, isCtrl,
- isArtificial, isAntiDep));
- if (!isCtrl) {
- ++NumPreds;
- ++N->NumSuccs;
- }
- if (!N->isScheduled)
- ++NumPredsLeft;
- if (!isScheduled)
- ++N->NumSuccsLeft;
- return true;
- }
-
- bool removePred(SUnit *N, bool isCtrl, bool isArtificial, bool isAntiDep) {
- for (SmallVector<SDep, 4>::iterator I = Preds.begin(), E = Preds.end();
- I != E; ++I)
- if (I->Dep == N && I->isCtrl == isCtrl && I->isArtificial == isArtificial) {
- bool FoundSucc = false;
- for (SmallVector<SDep, 4>::iterator II = N->Succs.begin(),
- EE = N->Succs.end(); II != EE; ++II)
- if (II->Dep == this &&
- II->isCtrl == isCtrl && II->isArtificial == isArtificial &&
- II->isAntiDep == isAntiDep) {
- FoundSucc = true;
- N->Succs.erase(II);
- break;
- }
- assert(FoundSucc && "Mismatching preds / succs lists!");
- Preds.erase(I);
- if (!isCtrl) {
- --NumPreds;
- --N->NumSuccs;
- }
- if (!N->isScheduled)
- --NumPredsLeft;
- if (!isScheduled)
- --N->NumSuccsLeft;
- return true;
- }
- return false;
+ /// specified node.
+ void addPred(const SDep &D);
+
+ /// removePred - This removes the specified edge as a pred of the current
+ /// node if it exists. It also removes the current node as a successor of
+ /// the specified node.
+ void removePred(const SDep &D);
+
+ /// getDepth - Return the depth of this node, which is the length of the
+ /// maximum path up to any node with has no predecessors.
+ unsigned getDepth() const {
+ if (!isDepthCurrent) const_cast<SUnit *>(this)->ComputeDepth();
+ return Depth;
+ }
+
+ /// getHeight - Return the height of this node, which is the length of the
+ /// maximum path down to any node with has no successors.
+ unsigned getHeight() const {
+ if (!isHeightCurrent) const_cast<SUnit *>(this)->ComputeHeight();
+ return Height;
}
+ /// setDepthToAtLeast - If NewDepth is greater than this node's depth
+ /// value, set it to be the new depth value. This also recursively
+ /// marks successor nodes dirty.
+ void setDepthToAtLeast(unsigned NewDepth);
+
+ /// setDepthToAtLeast - If NewDepth is greater than this node's depth
+ /// value, set it to be the new height value. This also recursively
+ /// marks predecessor nodes dirty.
+ void setHeightToAtLeast(unsigned NewHeight);
+
+ /// setDepthDirty - Set a flag in this node to indicate that its
+ /// stored Depth value will require recomputation the next time
+ /// getDepth() is called.
+ void setDepthDirty();
+
+ /// setHeightDirty - Set a flag in this node to indicate that its
+ /// stored Height value will require recomputation the next time
+ /// getHeight() is called.
+ void setHeightDirty();
+
+ /// isPred - Test if node N is a predecessor of this node.
bool isPred(SUnit *N) {
for (unsigned i = 0, e = (unsigned)Preds.size(); i != e; ++i)
- if (Preds[i].Dep == N)
+ if (Preds[i].getSUnit() == N)
return true;
return false;
}
+ /// isSucc - Test if node N is a successor of this node.
bool isSucc(SUnit *N) {
for (unsigned i = 0, e = (unsigned)Succs.size(); i != e; ++i)
- if (Succs[i].Dep == N)
+ if (Succs[i].getSUnit() == N)
return true;
return false;
}
void dump(const ScheduleDAG *G) const;
void dumpAll(const ScheduleDAG *G) const;
void print(raw_ostream &O, const ScheduleDAG *G) const;
+
+ private:
+ void ComputeDepth();
+ void ComputeHeight();
};
//===--------------------------------------------------------------------===//
class ScheduleDAG {
public:
- SelectionDAG *DAG; // DAG of the current basic block
- MachineBasicBlock *BB; // Current basic block
+ MachineBasicBlock *BB; // The block in which to insert instructions
+ MachineBasicBlock::iterator InsertPos;// The position to insert instructions
const TargetMachine &TM; // Target processor
const TargetInstrInfo *TII; // Target instruction information
const TargetRegisterInfo *TRI; // Target processor register info
- TargetLowering *TLI; // Target lowering info
- MachineFunction *MF; // Machine function
+ const TargetLowering *TLI; // Target lowering info
+ MachineFunction &MF; // Machine function
MachineRegisterInfo &MRI; // Virtual/real register map
MachineConstantPool *ConstPool; // Target constant pool
std::vector<SUnit*> Sequence; // The schedule. Null SUnit*'s
// represent noop instructions.
std::vector<SUnit> SUnits; // The scheduling units.
+ SUnit EntrySU; // Special node for the region entry.
+ SUnit ExitSU; // Special node for the region exit.
- ScheduleDAG(SelectionDAG *dag, MachineBasicBlock *bb,
- const TargetMachine &tm);
+ explicit ScheduleDAG(MachineFunction &mf);
virtual ~ScheduleDAG();
///
void viewGraph();
- /// Run - perform scheduling.
- ///
- void Run();
-
- /// BuildSchedUnits - Build SUnits and set up their Preds and Succs
- /// to form the scheduling dependency graph.
- ///
- virtual void BuildSchedUnits() = 0;
-
- /// ComputeLatency - Compute node latency.
- ///
- virtual void ComputeLatency(SUnit *SU) { SU->Latency = 1; }
-
- /// CalculateDepths, CalculateHeights - Calculate node depth / height.
- ///
- void CalculateDepths();
- void CalculateHeights();
-
- protected:
- /// EmitNoop - Emit a noop instruction.
+ /// EmitSchedule - Insert MachineInstrs into the MachineBasicBlock
+ /// according to the order specified in Sequence.
///
- void EmitNoop();
-
- public:
- virtual MachineBasicBlock *EmitSchedule() = 0;
+ virtual MachineBasicBlock*
+ EmitSchedule(DenseMap<MachineBasicBlock*, MachineBasicBlock*>*) = 0;
void dumpSchedule() const;
- /// Schedule - Order nodes according to selected style, filling
- /// in the Sequence member.
- ///
- virtual void Schedule() = 0;
-
virtual void dumpNode(const SUnit *SU) const = 0;
/// getGraphNodeLabel - Return a label for an SUnit node in a visualization
#endif
protected:
+ /// Run - perform scheduling.
+ ///
+ void Run(MachineBasicBlock *bb, MachineBasicBlock::iterator insertPos);
+
+ /// BuildSchedGraph - Build SUnits and set up their Preds and Succs
+ /// to form the scheduling dependency graph.
+ ///
+ virtual void BuildSchedGraph() = 0;
+
+ /// ComputeLatency - Compute node latency.
+ ///
+ virtual void ComputeLatency(SUnit *SU) = 0;
+
+ /// ComputeOperandLatency - Override dependence edge latency using
+ /// operand use/def information
+ ///
+ virtual void ComputeOperandLatency(SUnit *Def, SUnit *Use,
+ SDep& dep) const { };
+
+ /// Schedule - Order nodes according to selected style, filling
+ /// in the Sequence member.
+ ///
+ virtual void Schedule() = 0;
+
+ /// ForceUnitLatencies - Return true if all scheduling edges should be given
+ /// a latency value of one. The default is to return false; schedulers may
+ /// override this as needed.
+ virtual bool ForceUnitLatencies() const { return false; }
+
+ /// EmitNoop - Emit a noop instruction.
+ ///
+ void EmitNoop();
+
void AddMemOperand(MachineInstr *MI, const MachineMemOperand &MO);
- void EmitCrossRCCopy(SUnit *SU, DenseMap<SUnit*, unsigned> &VRBaseMap);
+ void EmitPhysRegCopy(SUnit *SU, DenseMap<SUnit*, unsigned> &VRBaseMap);
private:
/// EmitLiveInCopy - Emit a copy for a live in physical register. If the
void EmitLiveInCopies(MachineBasicBlock *MBB);
};
- class SUnitIterator : public forward_iterator<SUnit, ptrdiff_t> {
+ class SUnitIterator : public std::iterator<std::forward_iterator_tag,
+ SUnit, ptrdiff_t> {
SUnit *Node;
unsigned Operand;
bool operator!=(const SUnitIterator& x) const { return !operator==(x); }
const SUnitIterator &operator=(const SUnitIterator &I) {
- assert(I.Node == Node && "Cannot assign iterators to two different nodes!");
+ assert(I.Node==Node && "Cannot assign iterators to two different nodes!");
Operand = I.Operand;
return *this;
}
pointer operator*() const {
- return Node->Preds[Operand].Dep;
+ return Node->Preds[Operand].getSUnit();
}
pointer operator->() const { return operator*(); }
unsigned getOperand() const { return Operand; }
const SUnit *getNode() const { return Node; }
- bool isCtrlDep() const { return Node->Preds[Operand].isCtrl; }
- bool isArtificialDep() const { return Node->Preds[Operand].isArtificial; }
+ /// isCtrlDep - Test if this is not an SDep::Data dependence.
+ bool isCtrlDep() const {
+ return getSDep().isCtrl();
+ }
+ bool isArtificialDep() const {
+ return getSDep().isArtificial();
+ }
+ const SDep &getSDep() const {
+ return Node->Preds[Operand];
+ }
};
template <> struct GraphTraits<SUnit*> {
return G->SUnits.end();
}
};
+
+ /// ScheduleDAGTopologicalSort is a class that computes a topological
+ /// ordering for SUnits and provides methods for dynamically updating
+ /// the ordering as new edges are added.
+ ///
+ /// This allows a very fast implementation of IsReachable, for example.
+ ///
+ class ScheduleDAGTopologicalSort {
+ /// SUnits - A reference to the ScheduleDAG's SUnits.
+ std::vector<SUnit> &SUnits;
+
+ /// Index2Node - Maps topological index to the node number.
+ std::vector<int> Index2Node;
+ /// Node2Index - Maps the node number to its topological index.
+ std::vector<int> Node2Index;
+ /// Visited - a set of nodes visited during a DFS traversal.
+ BitVector Visited;
+
+ /// DFS - make a DFS traversal and mark all nodes affected by the
+ /// edge insertion. These nodes will later get new topological indexes
+ /// by means of the Shift method.
+ void DFS(const SUnit *SU, int UpperBound, bool& HasLoop);
+
+ /// Shift - reassign topological indexes for the nodes in the DAG
+ /// to preserve the topological ordering.
+ void Shift(BitVector& Visited, int LowerBound, int UpperBound);
+
+ /// Allocate - assign the topological index to the node n.
+ void Allocate(int n, int index);
+
+ public:
+ explicit ScheduleDAGTopologicalSort(std::vector<SUnit> &SUnits);
+
+ /// InitDAGTopologicalSorting - create the initial topological
+ /// ordering from the DAG to be scheduled.
+ void InitDAGTopologicalSorting();
+
+ /// IsReachable - Checks if SU is reachable from TargetSU.
+ bool IsReachable(const SUnit *SU, const SUnit *TargetSU);
+
+ /// WillCreateCycle - Returns true if adding an edge from SU to TargetSU
+ /// will create a cycle.
+ bool WillCreateCycle(SUnit *SU, SUnit *TargetSU);
+
+ /// AddPred - Updates the topological ordering to accomodate an edge
+ /// to be added from SUnit X to SUnit Y.
+ void AddPred(SUnit *Y, SUnit *X);
+
+ /// RemovePred - Updates the topological ordering to accomodate an
+ /// an edge to be removed from the specified node N from the predecessors
+ /// of the current node M.
+ void RemovePred(SUnit *M, SUnit *N);
+
+ typedef std::vector<int>::iterator iterator;
+ typedef std::vector<int>::const_iterator const_iterator;
+ iterator begin() { return Index2Node.begin(); }
+ const_iterator begin() const { return Index2Node.begin(); }
+ iterator end() { return Index2Node.end(); }
+ const_iterator end() const { return Index2Node.end(); }
+
+ typedef std::vector<int>::reverse_iterator reverse_iterator;
+ typedef std::vector<int>::const_reverse_iterator const_reverse_iterator;
+ reverse_iterator rbegin() { return Index2Node.rbegin(); }
+ const_reverse_iterator rbegin() const { return Index2Node.rbegin(); }
+ reverse_iterator rend() { return Index2Node.rend(); }
+ const_reverse_iterator rend() const { return Index2Node.rend(); }
+ };
}
#endif