LLVM 20.0.0git
ModuloSchedule.h
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1//===- ModuloSchedule.h - Software pipeline schedule expansion ------------===//
2//
3// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4// See https://llvm.org/LICENSE.txt for license information.
5// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6//
7//===----------------------------------------------------------------------===//
8//
9// Software pipelining (SWP) is an instruction scheduling technique for loops
10// that overlaps loop iterations and exploits ILP via compiler transformations.
11//
12// There are multiple methods for analyzing a loop and creating a schedule.
13// An example algorithm is Swing Modulo Scheduling (implemented by the
14// MachinePipeliner). The details of how a schedule is arrived at are irrelevant
15// for the task of actually rewriting a loop to adhere to the schedule, which
16// is what this file does.
17//
18// A schedule is, for every instruction in a block, a Cycle and a Stage. Note
19// that we only support single-block loops, so "block" and "loop" can be used
20// interchangably.
21//
22// The Cycle of an instruction defines a partial order of the instructions in
23// the remapped loop. Instructions within a cycle must not consume the output
24// of any instruction in the same cycle. Cycle information is assumed to have
25// been calculated such that the processor will execute instructions in
26// lock-step (for example in a VLIW ISA).
27//
28// The Stage of an instruction defines the mapping between logical loop
29// iterations and pipelined loop iterations. An example (unrolled) pipeline
30// may look something like:
31//
32// I0[0] Execute instruction I0 of iteration 0
33// I1[0], I0[1] Execute I0 of iteration 1 and I1 of iteration 1
34// I1[1], I0[2]
35// I1[2], I0[3]
36//
37// In the schedule for this unrolled sequence we would say that I0 was scheduled
38// in stage 0 and I1 in stage 1:
39//
40// loop:
41// [stage 0] x = I0
42// [stage 1] I1 x (from stage 0)
43//
44// And to actually generate valid code we must insert a phi:
45//
46// loop:
47// x' = phi(x)
48// x = I0
49// I1 x'
50//
51// This is a simple example; the rules for how to generate correct code given
52// an arbitrary schedule containing loop-carried values are complex.
53//
54// Note that these examples only mention the steady-state kernel of the
55// generated loop; prologs and epilogs must be generated also that prime and
56// flush the pipeline. Doing so is nontrivial.
57//
58//===----------------------------------------------------------------------===//
59
60#ifndef LLVM_CODEGEN_MODULOSCHEDULE_H
61#define LLVM_CODEGEN_MODULOSCHEDULE_H
62
67#include <deque>
68#include <map>
69#include <vector>
70
71namespace llvm {
72class MachineBasicBlock;
73class MachineLoop;
74class MachineRegisterInfo;
75class MachineInstr;
76class LiveIntervals;
77
78/// Represents a schedule for a single-block loop. For every instruction we
79/// maintain a Cycle and Stage.
81private:
82 /// The block containing the loop instructions.
84
85 /// The instructions to be generated, in total order. Cycle provides a partial
86 /// order; the total order within cycles has been decided by the schedule
87 /// producer.
88 std::vector<MachineInstr *> ScheduledInstrs;
89
90 /// The cycle for each instruction.
92
93 /// The stage for each instruction.
95
96 /// The number of stages in this schedule (Max(Stage) + 1).
97 int NumStages;
98
99public:
100 /// Create a new ModuloSchedule.
101 /// \arg ScheduledInstrs The new loop instructions, in total resequenced
102 /// order.
103 /// \arg Cycle Cycle index for all instructions in ScheduledInstrs. Cycle does
104 /// not need to start at zero. ScheduledInstrs must be partially ordered by
105 /// Cycle.
106 /// \arg Stage Stage index for all instructions in ScheduleInstrs.
108 std::vector<MachineInstr *> ScheduledInstrs,
111 : Loop(Loop), ScheduledInstrs(ScheduledInstrs), Cycle(std::move(Cycle)),
112 Stage(std::move(Stage)) {
113 NumStages = 0;
114 for (auto &KV : this->Stage)
115 NumStages = std::max(NumStages, KV.second);
116 ++NumStages;
117 }
118
119 /// Return the single-block loop being scheduled.
120 MachineLoop *getLoop() const { return Loop; }
121
122 /// Return the number of stages contained in this schedule, which is the
123 /// largest stage index + 1.
124 int getNumStages() const { return NumStages; }
125
126 /// Return the first cycle in the schedule, which is the cycle index of the
127 /// first instruction.
128 int getFirstCycle() { return Cycle[ScheduledInstrs.front()]; }
129
130 /// Return the final cycle in the schedule, which is the cycle index of the
131 /// last instruction.
132 int getFinalCycle() { return Cycle[ScheduledInstrs.back()]; }
133
134 /// Return the stage that MI is scheduled in, or -1.
136 auto I = Stage.find(MI);
137 return I == Stage.end() ? -1 : I->second;
138 }
139
140 /// Return the cycle that MI is scheduled at, or -1.
142 auto I = Cycle.find(MI);
143 return I == Cycle.end() ? -1 : I->second;
144 }
145
146 /// Set the stage of a newly created instruction.
147 void setStage(MachineInstr *MI, int MIStage) {
148 assert(Stage.count(MI) == 0);
149 Stage[MI] = MIStage;
150 }
151
152 /// Return the rescheduled instructions in order.
153 ArrayRef<MachineInstr *> getInstructions() { return ScheduledInstrs; }
154
155 void dump() { print(dbgs()); }
156 void print(raw_ostream &OS);
157};
158
159/// The ModuloScheduleExpander takes a ModuloSchedule and expands it in-place,
160/// rewriting the old loop and inserting prologs and epilogs as required.
162public:
164
165private:
169
170 ModuloSchedule &Schedule;
171 MachineFunction &MF;
172 const TargetSubtargetInfo &ST;
174 const TargetInstrInfo *TII = nullptr;
175 LiveIntervals &LIS;
176
177 MachineBasicBlock *BB = nullptr;
178 MachineBasicBlock *Preheader = nullptr;
179 MachineBasicBlock *NewKernel = nullptr;
180 std::unique_ptr<TargetInstrInfo::PipelinerLoopInfo> LoopInfo;
181
182 /// Map for each register and the max difference between its uses and def.
183 /// The first element in the pair is the max difference in stages. The
184 /// second is true if the register defines a Phi value and loop value is
185 /// scheduled before the Phi.
186 std::map<unsigned, std::pair<unsigned, bool>> RegToStageDiff;
187
188 /// Instructions to change when emitting the final schedule.
189 InstrChangesTy InstrChanges;
190
191 void generatePipelinedLoop();
192 void generateProlog(unsigned LastStage, MachineBasicBlock *KernelBB,
193 ValueMapTy *VRMap, MBBVectorTy &PrologBBs);
194 void generateEpilog(unsigned LastStage, MachineBasicBlock *KernelBB,
195 MachineBasicBlock *OrigBB, ValueMapTy *VRMap,
196 ValueMapTy *VRMapPhi, MBBVectorTy &EpilogBBs,
197 MBBVectorTy &PrologBBs);
198 void generateExistingPhis(MachineBasicBlock *NewBB, MachineBasicBlock *BB1,
199 MachineBasicBlock *BB2, MachineBasicBlock *KernelBB,
200 ValueMapTy *VRMap, InstrMapTy &InstrMap,
201 unsigned LastStageNum, unsigned CurStageNum,
202 bool IsLast);
203 void generatePhis(MachineBasicBlock *NewBB, MachineBasicBlock *BB1,
204 MachineBasicBlock *BB2, MachineBasicBlock *KernelBB,
205 ValueMapTy *VRMap, ValueMapTy *VRMapPhi,
206 InstrMapTy &InstrMap, unsigned LastStageNum,
207 unsigned CurStageNum, bool IsLast);
208 void removeDeadInstructions(MachineBasicBlock *KernelBB,
209 MBBVectorTy &EpilogBBs);
210 void splitLifetimes(MachineBasicBlock *KernelBB, MBBVectorTy &EpilogBBs);
211 void addBranches(MachineBasicBlock &PreheaderBB, MBBVectorTy &PrologBBs,
212 MachineBasicBlock *KernelBB, MBBVectorTy &EpilogBBs,
213 ValueMapTy *VRMap);
214 bool computeDelta(MachineInstr &MI, unsigned &Delta);
215 void updateMemOperands(MachineInstr &NewMI, MachineInstr &OldMI,
216 unsigned Num);
217 MachineInstr *cloneInstr(MachineInstr *OldMI, unsigned CurStageNum,
218 unsigned InstStageNum);
219 MachineInstr *cloneAndChangeInstr(MachineInstr *OldMI, unsigned CurStageNum,
220 unsigned InstStageNum);
221 void updateInstruction(MachineInstr *NewMI, bool LastDef,
222 unsigned CurStageNum, unsigned InstrStageNum,
223 ValueMapTy *VRMap);
224 MachineInstr *findDefInLoop(unsigned Reg);
225 unsigned getPrevMapVal(unsigned StageNum, unsigned PhiStage, unsigned LoopVal,
226 unsigned LoopStage, ValueMapTy *VRMap,
228 void rewritePhiValues(MachineBasicBlock *NewBB, unsigned StageNum,
229 ValueMapTy *VRMap, InstrMapTy &InstrMap);
230 void rewriteScheduledInstr(MachineBasicBlock *BB, InstrMapTy &InstrMap,
231 unsigned CurStageNum, unsigned PhiNum,
232 MachineInstr *Phi, unsigned OldReg,
233 unsigned NewReg, unsigned PrevReg = 0);
234 bool isLoopCarried(MachineInstr &Phi);
235
236 /// Return the max. number of stages/iterations that can occur between a
237 /// register definition and its uses.
238 unsigned getStagesForReg(int Reg, unsigned CurStage) {
239 std::pair<unsigned, bool> Stages = RegToStageDiff[Reg];
240 if ((int)CurStage > Schedule.getNumStages() - 1 && Stages.first == 0 &&
241 Stages.second)
242 return 1;
243 return Stages.first;
244 }
245
246 /// The number of stages for a Phi is a little different than other
247 /// instructions. The minimum value computed in RegToStageDiff is 1
248 /// because we assume the Phi is needed for at least 1 iteration.
249 /// This is not the case if the loop value is scheduled prior to the
250 /// Phi in the same stage. This function returns the number of stages
251 /// or iterations needed between the Phi definition and any uses.
252 unsigned getStagesForPhi(int Reg) {
253 std::pair<unsigned, bool> Stages = RegToStageDiff[Reg];
254 if (Stages.second)
255 return Stages.first;
256 return Stages.first - 1;
257 }
258
259public:
260 /// Create a new ModuloScheduleExpander.
261 /// \arg InstrChanges Modifications to make to instructions with memory
262 /// operands.
263 /// FIXME: InstrChanges is opaque and is an implementation detail of an
264 /// optimization in MachinePipeliner that crosses abstraction boundaries.
266 LiveIntervals &LIS, InstrChangesTy InstrChanges)
267 : Schedule(S), MF(MF), ST(MF.getSubtarget()), MRI(MF.getRegInfo()),
268 TII(ST.getInstrInfo()), LIS(LIS),
269 InstrChanges(std::move(InstrChanges)) {}
270
271 /// Performs the actual expansion.
272 void expand();
273 /// Performs final cleanup after expansion.
274 void cleanup();
275
276 /// Returns the newly rewritten kernel block, or nullptr if this was
277 /// optimized away.
278 MachineBasicBlock *getRewrittenKernel() { return NewKernel; }
279};
280
281/// A reimplementation of ModuloScheduleExpander. It works by generating a
282/// standalone kernel loop and peeling out the prologs and epilogs.
284public:
287 : Schedule(S), MF(MF), ST(MF.getSubtarget()), MRI(MF.getRegInfo()),
288 TII(ST.getInstrInfo()), LIS(LIS) {}
289
290 void expand();
291
292 /// Runs ModuloScheduleExpander and treats it as a golden input to validate
293 /// aspects of the code generated by PeelingModuloScheduleExpander.
295
296protected:
301 const TargetInstrInfo *TII = nullptr;
302 LiveIntervals *LIS = nullptr;
303
304 /// The original loop block that gets rewritten in-place.
306 /// The original loop preheader.
308 /// All prolog and epilog blocks.
310 /// For every block, the stages that are produced.
312 /// For every block, the stages that are available. A stage can be available
313 /// but not produced (in the epilog) or produced but not available (in the
314 /// prolog).
316 /// When peeling the epilogue keep track of the distance between the phi
317 /// nodes and the kernel.
319
320 /// CanonicalMIs and BlockMIs form a bidirectional map between any of the
321 /// loop kernel clones.
325
326 /// State passed from peelKernel to peelPrologAndEpilogs().
327 std::deque<MachineBasicBlock *> PeeledFront, PeeledBack;
328 /// Illegal phis that need to be deleted once we re-link stages.
330
331 /// Converts BB from the original loop body to the rewritten, pipelined
332 /// steady-state.
333 void rewriteKernel();
334
335 /// Peels one iteration of the rewritten kernel (BB) in the specified
336 /// direction.
338 // Delete instructions whose stage is less than MinStage in the given basic
339 // block.
340 void filterInstructions(MachineBasicBlock *MB, int MinStage);
341 // Move instructions of the given stage from sourceBB to DestBB. Remap the phi
342 // instructions to keep a valid IR.
344 MachineBasicBlock *SourceBB, unsigned Stage);
345 /// Peel the kernel forwards and backwards to produce prologs and epilogs,
346 /// and stitch them together.
348 /// All prolog and epilog blocks are clones of the kernel, so any produced
349 /// register in one block has an corollary in all other blocks.
351 /// Change all users of MI, if MI is predicated out
352 /// (LiveStages[MI->getParent()] == false).
354 /// Insert branches between prologs, kernel and epilogs.
355 void fixupBranches();
356 /// Create a poor-man's LCSSA by cloning only the PHIs from the kernel block
357 /// to a block dominated by all prologs and epilogs. This allows us to treat
358 /// the loop exiting block as any other kernel clone.
360 /// Helper to get the stage of an instruction in the schedule.
362 if (CanonicalMIs.count(MI))
363 MI = CanonicalMIs[MI];
364 return Schedule.getStage(MI);
365 }
366 /// Helper function to find the right canonical register for a phi instruction
367 /// coming from a peeled out prologue.
369 /// Target loop info before kernel peeling.
370 std::unique_ptr<TargetInstrInfo::PipelinerLoopInfo> LoopInfo;
371};
372
373/// Expand the kernel using modulo variable expansion algorithm (MVE).
374/// It unrolls the kernel enough to avoid overlap of register lifetime.
376private:
380
381 ModuloSchedule &Schedule;
382 MachineFunction &MF;
383 const TargetSubtargetInfo &ST;
385 const TargetInstrInfo *TII = nullptr;
386 LiveIntervals &LIS;
387
388 MachineBasicBlock *OrigKernel = nullptr;
389 MachineBasicBlock *OrigPreheader = nullptr;
390 MachineBasicBlock *OrigExit = nullptr;
391 MachineBasicBlock *Check = nullptr;
392 MachineBasicBlock *Prolog = nullptr;
393 MachineBasicBlock *NewKernel = nullptr;
394 MachineBasicBlock *Epilog = nullptr;
395 MachineBasicBlock *NewPreheader = nullptr;
396 MachineBasicBlock *NewExit = nullptr;
397 std::unique_ptr<TargetInstrInfo::PipelinerLoopInfo> LoopInfo;
398
399 /// The number of unroll required to avoid overlap of live ranges.
400 /// NumUnroll = 1 means no unrolling.
401 int NumUnroll;
402
403 void calcNumUnroll();
404 void generatePipelinedLoop();
405 void generateProlog(SmallVectorImpl<ValueMapTy> &VRMap);
406 void generatePhi(MachineInstr *OrigMI, int UnrollNum,
407 SmallVectorImpl<ValueMapTy> &PrologVRMap,
408 SmallVectorImpl<ValueMapTy> &KernelVRMap,
410 void generateKernel(SmallVectorImpl<ValueMapTy> &PrologVRMap,
411 SmallVectorImpl<ValueMapTy> &KernelVRMap,
412 InstrMapTy &LastStage0Insts);
413 void generateEpilog(SmallVectorImpl<ValueMapTy> &KernelVRMap,
414 SmallVectorImpl<ValueMapTy> &EpilogVRMap,
415 InstrMapTy &LastStage0Insts);
416 void mergeRegUsesAfterPipeline(Register OrigReg, Register NewReg);
417
418 MachineInstr *cloneInstr(MachineInstr *OldMI);
419
420 void updateInstrDef(MachineInstr *NewMI, ValueMapTy &VRMap, bool LastDef);
421
422 void generateKernelPhi(Register OrigLoopVal, Register NewLoopVal,
423 unsigned UnrollNum,
424 SmallVectorImpl<ValueMapTy> &VRMapProlog,
426 void updateInstrUse(MachineInstr *MI, int StageNum, int PhaseNum,
428 SmallVectorImpl<ValueMapTy> *PrevVRMap);
429
430 void insertCondBranch(MachineBasicBlock &MBB, int RequiredTC,
431 InstrMapTy &LastStage0Insts,
432 MachineBasicBlock &GreaterThan,
433 MachineBasicBlock &Otherwise);
434
435public:
437 LiveIntervals &LIS)
438 : Schedule(S), MF(MF), ST(MF.getSubtarget()), MRI(MF.getRegInfo()),
439 TII(ST.getInstrInfo()), LIS(LIS) {}
440
441 void expand();
442 static bool canApply(MachineLoop &L);
443};
444
445/// Expander that simply annotates each scheduled instruction with a post-instr
446/// symbol that can be consumed by the ModuloScheduleTest pass.
447///
448/// The post-instr symbol is a way of annotating an instruction that can be
449/// roundtripped in MIR. The syntax is:
450/// MYINST %0, post-instr-symbol <mcsymbol Stage-1_Cycle-5>
452 MachineFunction &MF;
454
455public:
457 : MF(MF), S(S) {}
458
459 /// Performs the annotation.
460 void annotate();
461};
462
463} // end namespace llvm
464
465#endif // LLVM_CODEGEN_MODULOSCHEDULE_H
unsigned const MachineRegisterInfo * MRI
MachineBasicBlock & MBB
const HexagonInstrInfo * TII
IRTranslator LLVM IR MI
#define I(x, y, z)
Definition: MD5.cpp:58
unsigned Reg
assert(ImpDefSCC.getReg()==AMDGPU::SCC &&ImpDefSCC.isDef())
raw_pwrite_stream & OS
ArrayRef - Represent a constant reference to an array (0 or more elements consecutively in memory),...
Definition: ArrayRef.h:41
iterator find(const_arg_type_t< KeyT > Val)
Definition: DenseMap.h:155
size_type count(const_arg_type_t< KeyT > Val) const
Return 1 if the specified key is in the map, 0 otherwise.
Definition: DenseMap.h:151
iterator end()
Definition: DenseMap.h:84
A possibly irreducible generalization of a Loop.
Represents a single loop in the control flow graph.
Definition: LoopInfo.h:39
Representation of each machine instruction.
Definition: MachineInstr.h:69
MachineRegisterInfo - Keep track of information for virtual and physical registers,...
Expand the kernel using modulo variable expansion algorithm (MVE).
static bool canApply(MachineLoop &L)
Check if ModuloScheduleExpanderMVE can be applied to L.
ModuloScheduleExpanderMVE(MachineFunction &MF, ModuloSchedule &S, LiveIntervals &LIS)
The ModuloScheduleExpander takes a ModuloSchedule and expands it in-place, rewriting the old loop and...
MachineBasicBlock * getRewrittenKernel()
Returns the newly rewritten kernel block, or nullptr if this was optimized away.
void cleanup()
Performs final cleanup after expansion.
void expand()
Performs the actual expansion.
ModuloScheduleExpander(MachineFunction &MF, ModuloSchedule &S, LiveIntervals &LIS, InstrChangesTy InstrChanges)
Create a new ModuloScheduleExpander.
Expander that simply annotates each scheduled instruction with a post-instr symbol that can be consum...
void annotate()
Performs the annotation.
ModuloScheduleTestAnnotater(MachineFunction &MF, ModuloSchedule &S)
Represents a schedule for a single-block loop.
int getNumStages() const
Return the number of stages contained in this schedule, which is the largest stage index + 1.
MachineLoop * getLoop() const
Return the single-block loop being scheduled.
ArrayRef< MachineInstr * > getInstructions()
Return the rescheduled instructions in order.
void print(raw_ostream &OS)
int getCycle(MachineInstr *MI)
Return the cycle that MI is scheduled at, or -1.
void setStage(MachineInstr *MI, int MIStage)
Set the stage of a newly created instruction.
int getStage(MachineInstr *MI)
Return the stage that MI is scheduled in, or -1.
ModuloSchedule(MachineFunction &MF, MachineLoop *Loop, std::vector< MachineInstr * > ScheduledInstrs, DenseMap< MachineInstr *, int > Cycle, DenseMap< MachineInstr *, int > Stage)
Create a new ModuloSchedule.
int getFirstCycle()
Return the first cycle in the schedule, which is the cycle index of the first instruction.
int getFinalCycle()
Return the final cycle in the schedule, which is the cycle index of the last instruction.
A reimplementation of ModuloScheduleExpander.
const TargetSubtargetInfo & ST
std::deque< MachineBasicBlock * > PeeledBack
SmallVector< MachineInstr *, 4 > IllegalPhisToDelete
Illegal phis that need to be deleted once we re-link stages.
DenseMap< MachineInstr *, MachineInstr * > CanonicalMIs
CanonicalMIs and BlockMIs form a bidirectional map between any of the loop kernel clones.
SmallVector< MachineBasicBlock *, 4 > Prologs
All prolog and epilog blocks.
MachineBasicBlock * peelKernel(LoopPeelDirection LPD)
Peels one iteration of the rewritten kernel (BB) in the specified direction.
std::deque< MachineBasicBlock * > PeeledFront
State passed from peelKernel to peelPrologAndEpilogs().
unsigned getStage(MachineInstr *MI)
Helper to get the stage of an instruction in the schedule.
void rewriteUsesOf(MachineInstr *MI)
Change all users of MI, if MI is predicated out (LiveStages[MI->getParent()] == false).
SmallVector< MachineBasicBlock *, 4 > Epilogs
DenseMap< MachineBasicBlock *, BitVector > AvailableStages
For every block, the stages that are available.
std::unique_ptr< TargetInstrInfo::PipelinerLoopInfo > LoopInfo
Target loop info before kernel peeling.
DenseMap< std::pair< MachineBasicBlock *, MachineInstr * >, MachineInstr * > BlockMIs
Register getEquivalentRegisterIn(Register Reg, MachineBasicBlock *BB)
All prolog and epilog blocks are clones of the kernel, so any produced register in one block has an c...
MachineBasicBlock * Preheader
The original loop preheader.
PeelingModuloScheduleExpander(MachineFunction &MF, ModuloSchedule &S, LiveIntervals *LIS)
void rewriteKernel()
Converts BB from the original loop body to the rewritten, pipelined steady-state.
DenseMap< MachineInstr *, unsigned > PhiNodeLoopIteration
When peeling the epilogue keep track of the distance between the phi nodes and the kernel.
DenseMap< MachineBasicBlock *, BitVector > LiveStages
For every block, the stages that are produced.
void filterInstructions(MachineBasicBlock *MB, int MinStage)
void peelPrologAndEpilogs()
Peel the kernel forwards and backwards to produce prologs and epilogs, and stitch them together.
MachineBasicBlock * BB
The original loop block that gets rewritten in-place.
void fixupBranches()
Insert branches between prologs, kernel and epilogs.
MachineBasicBlock * CreateLCSSAExitingBlock()
Create a poor-man's LCSSA by cloning only the PHIs from the kernel block to a block dominated by all ...
void validateAgainstModuloScheduleExpander()
Runs ModuloScheduleExpander and treats it as a golden input to validate aspects of the code generated...
Register getPhiCanonicalReg(MachineInstr *CanonicalPhi, MachineInstr *Phi)
Helper function to find the right canonical register for a phi instruction coming from a peeled out p...
void moveStageBetweenBlocks(MachineBasicBlock *DestBB, MachineBasicBlock *SourceBB, unsigned Stage)
Wrapper class representing virtual and physical registers.
Definition: Register.h:19
This is a 'vector' (really, a variable-sized array), optimized for the case when the array is small.
Definition: SmallVector.h:1209
TargetInstrInfo - Interface to description of machine instruction set.
TargetSubtargetInfo - Generic base class for all target subtargets.
This class implements an extremely fast bulk output stream that can only output to a stream.
Definition: raw_ostream.h:52
This is an optimization pass for GlobalISel generic memory operations.
Definition: AddressRanges.h:18
raw_ostream & dbgs()
dbgs() - This returns a reference to a raw_ostream for debugging messages.
Definition: Debug.cpp:163
OutputIt move(R &&Range, OutputIt Out)
Provide wrappers to std::move which take ranges instead of having to pass begin/end explicitly.
Definition: STLExtras.h:1856
Implement std::hash so that hash_code can be used in STL containers.
Definition: BitVector.h:858