LLVM: lib/CodeGen/StackMaps.cpp Source File (original) (raw)

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31#include

32#include

33#include

34#include

35#include

36

37using namespace llvm;

38

39#define DEBUG_TYPE "stackmaps"

40

43 cl::desc("Specify the stackmap encoding version (default = 3)"));

44

45const char *StackMaps::WSMP = "Stack Maps: ";

46

49 MI.getOperand(Idx).getImm() == StackMaps::ConstantOp);

50 const auto &MO = MI.getOperand(Idx + 1);

52 return MO.getImm();

53}

54

58 "invalid stackmap definition");

59}

60

62 : MI(MI), HasDef(MI->getOperand(0).isReg() && MI->getOperand(0).isDef() &&

63 MI->getOperand(0).isImplicit()) {

64#ifndef NDEBUG

65 unsigned CheckStartIdx = 0, e = MI->getNumOperands();

66 while (CheckStartIdx < e && MI->getOperand(CheckStartIdx).isReg() &&

67 MI->getOperand(CheckStartIdx).isDef() &&

68 MI->getOperand(CheckStartIdx).isImplicit())

69 ++CheckStartIdx;

70

71 assert(getMetaIdx() == CheckStartIdx &&

72 "Unexpected additional definition in Patchpoint intrinsic.");

73#endif

74}

75

77 if (!StartIdx)

79

80

81 unsigned ScratchIdx = StartIdx, e = MI->getNumOperands();

82 while (ScratchIdx < e &&

87 ++ScratchIdx;

88

89 assert(ScratchIdx != e && "No scratch register available");

90 return ScratchIdx;

91}

92

94

97 CurIdx++;

98 while (NumAllocas--)

100 return CurIdx + 1;

101}

102

104

107 CurIdx++;

108 while (NumGCPtrs--)

110 return CurIdx + 1;

111}

112

114

116 unsigned NumDeoptArgs = getConstMetaVal(*MI, CurIdx - 1);

117 CurIdx++;

118 while (NumDeoptArgs--) {

120 }

121 return CurIdx + 1;

122}

123

126 unsigned NumGCPtrs = getConstMetaVal(*MI, NumGCPtrsIdx - 1);

127 if (NumGCPtrs == 0)

128 return -1;

129 ++NumGCPtrsIdx;

130 assert(NumGCPtrsIdx < MI->getNumOperands());

131 return (int)NumGCPtrsIdx;

132}

133

138 CurIdx++;

139 for (unsigned N = 0; N < GCMapSize; ++N) {

142 GCMap.push_back(std::make_pair(B, D));

143 }

144

145 return GCMapSize;

146}

147

149 unsigned FoldableAreaStart = getVarIdx();

151 if (MO.getOperandNo() >= FoldableAreaStart)

152 break;

153 if (MO.isReg() && MO.getReg() == Reg)

154 return false;

155 }

156 return true;

157}

158

160 if (MI->getOpcode() != TargetOpcode::STATEPOINT)

161 return false;

163}

164

168}

169

171 assert(CurIdx < MI->getNumOperands() && "Bad meta arg index");

172 const auto &MO = MI->getOperand(CurIdx);

173 if (MO.isImm()) {

174 switch (MO.getImm()) {

175 default:

177 case StackMaps::DirectMemRefOp:

178 CurIdx += 2;

179 break;

180 case StackMaps::IndirectMemRefOp:

181 CurIdx += 3;

182 break;

183 case StackMaps::ConstantOp:

184 ++CurIdx;

185 break;

186 }

187 }

188 ++CurIdx;

189 assert(CurIdx < MI->getNumOperands() && "points past operand list");

190 return CurIdx;

191}

192

193

195 int RegNum;

196 for (MCPhysReg SR : TRI->superregs_inclusive(Reg)) {

197 RegNum = TRI->getDwarfRegNum(SR, false);

198 if (RegNum >= 0)

199 break;

200 }

201

202 assert(RegNum >= 0 && isUInt<16>(RegNum) && "Invalid Dwarf register number.");

203 return (unsigned)RegNum;

204}

205

209 LiveOutVec &LiveOuts) {

211 if (MOI->isImm()) {

212 switch (MOI->getImm()) {

213 default:

215 case StackMaps::DirectMemRefOp: {

217

218 unsigned Size = DL.getPointerSizeInBits();

219 assert((Size % 8) == 0 && "Need pointer size in bytes.");

222 int64_t Imm = (++MOI)->getImm();

225 break;

226 }

227 case StackMaps::IndirectMemRefOp: {

228 int64_t Size = (++MOI)->getImm();

229 assert(Size > 0 && "Need a valid size for indirect memory locations.");

231 int64_t Imm = (++MOI)->getImm();

234 break;

235 }

236 case StackMaps::ConstantOp: {

237 ++MOI;

238 assert(MOI->isImm() && "Expected constant operand.");

240 if (isInt<32>(Imm)) {

242 } else {

243

244

245

246

247

248

251 "empty and tombstone keys should fit in 32 bits!");

252 auto Result = ConstPool.insert(std::make_pair(Imm, Imm));

255 }

256 break;

257 }

258 }

259 return ++MOI;

260 }

261

262

263

264

265

266 if (MOI->isReg()) {

267

269 return ++MOI;

270

272 "Virtreg operands should have been rewritten before now.");

274 assert(!MOI->getSubReg() && "Physical subreg still around.");

275

278 MCRegister LLVMRegNum = *TRI->getLLVMRegNum(DwarfRegNum, false);

279 unsigned SubRegIdx = TRI->getSubRegIndex(LLVMRegNum, MOI->getReg());

280 if (SubRegIdx)

281 Offset = TRI->getSubRegIdxOffset(SubRegIdx);

282

284 DwarfRegNum, Offset);

285 return ++MOI;

286 }

287

289 LiveOuts = parseRegisterLiveOutMask(MOI->getRegLiveOut());

290

291 return ++MOI;

292}

293

297 OS << WSMP << "callsites:\n";

298 for (const auto &CSI : CSInfos) {

299 const LocationVec &CSLocs = CSI.Locations;

300 const LiveOutVec &LiveOuts = CSI.LiveOuts;

301

302 OS << WSMP << "callsite " << CSI.ID << "\n";

303 OS << WSMP << " has " << CSLocs.size() << " locations\n";

304

305 unsigned Idx = 0;

306 for (const auto &Loc : CSLocs) {

307 OS << WSMP << "\t\tLoc " << Idx << ": ";

308 switch (Loc.Type) {

310 OS << "";

311 break;

313 OS << "Register ";

316 else

317 OS << Loc.Reg;

318 break;

320 OS << "Direct ";

323 else

324 OS << Loc.Reg;

325 if (Loc.Offset)

326 OS << " + " << Loc.Offset;

327 break;

329 OS << "Indirect ";

332 else

333 OS << Loc.Reg;

334 OS << "+" << Loc.Offset;

335 break;

337 OS << "Constant " << Loc.Offset;

338 break;

340 OS << "Constant Index " << Loc.Offset;

341 break;

342 }

343 OS << "\t[encoding: .byte " << Loc.Type << ", .byte 0"

344 << ", .short " << Loc.Size << ", .short " << Loc.Reg << ", .short 0"

345 << ", .int " << Loc.Offset << "]\n";

347 }

348

349 OS << WSMP << "\thas " << LiveOuts.size() << " live-out registers\n";

350

352 for (const auto &LO : LiveOuts) {

353 OS << WSMP << "\t\tLO " << Idx << ": ";

356 else

357 OS << LO.Reg;

358 OS << "\t[encoding: .short " << LO.DwarfRegNum << ", .byte 0, .byte "

359 << LO.Size << "]\n";

361 }

362 }

363}

364

365

369 unsigned Size = TRI->getSpillSize(*TRI->getMinimalPhysRegClass(Reg));

370 return LiveOutReg(Reg, DwarfRegNum, Size);

371}

372

373

374

376StackMaps::parseRegisterLiveOutMask(const uint32_t *Mask) const {

377 assert(Mask && "No register mask specified");

380

381

382 for (unsigned Reg = 0, NumRegs = TRI->getNumRegs(); Reg != NumRegs; ++Reg)

383 if ((Mask[Reg / 32] >> (Reg % 32)) & 1)

384 LiveOuts.push_back(createLiveOutReg(Reg, TRI));

385

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388

389

390 llvm::sort(LiveOuts, [](const LiveOutReg &LHS, const LiveOutReg &RHS) {

391

392 return LHS.DwarfRegNum < RHS.DwarfRegNum;

393 });

394

395 for (auto I = LiveOuts.begin(), E = LiveOuts.end(); I != E; ++I) {

396 for (auto *II = std::next(I); II != E; ++II) {

397 if (I->DwarfRegNum != II->DwarfRegNum) {

398

399 I = --II;

400 break;

401 }

402 I->Size = std::max(I->Size, II->Size);

403 if (I->Reg && TRI->isSuperRegister(I->Reg, II->Reg))

404 I->Reg = II->Reg;

405 II->Reg = 0;

406 }

407 }

408

409 llvm::erase_if(LiveOuts, [](const LiveOutReg &LO) { return LO.Reg == 0; });

410

411 return LiveOuts;

412}

413

414

415

416void StackMaps::parseStatepointOpers(const MachineInstr &MI,

419 LocationVec &Locations,

420 LiveOutVec &LiveOuts) {

423 MOI = parseOperand(MOI, MOE, Locations, LiveOuts);

424 MOI = parseOperand(MOI, MOE, Locations, LiveOuts);

425 MOI = parseOperand(MOI, MOE, Locations, LiveOuts);

426

427

428 unsigned NumDeoptArgs = Locations.back().Offset;

430 assert(NumDeoptArgs == SO.getNumDeoptArgs());

431

432 while (NumDeoptArgs--)

433 MOI = parseOperand(MOI, MOE, Locations, LiveOuts);

434

435

437 ++MOI;

439 unsigned NumGCPointers = MOI->getImm();

440 ++MOI;

441 if (NumGCPointers) {

442

444 unsigned GCPtrIdx = (unsigned)SO.getFirstGCPtrIdx();

445 assert((int)GCPtrIdx != -1);

446 assert(MOI - MI.operands_begin() == GCPtrIdx + 0LL);

447 while (NumGCPointers--) {

448 GCPtrIndices.push_back(GCPtrIdx);

450 }

451

453 unsigned NumGCPairs = SO.getGCPointerMap(GCPairs);

454 (void)NumGCPairs;

455 LLVM_DEBUG(dbgs() << "NumGCPairs = " << NumGCPairs << "\n");

456

457 auto MOB = MI.operands_begin();

458 for (auto &P : GCPairs) {

459 assert(P.first < GCPtrIndices.size() && "base pointer index not found");

461 "derived pointer index not found");

462 unsigned BaseIdx = GCPtrIndices[P.first];

463 unsigned DerivedIdx = GCPtrIndices[P.second];

464 LLVM_DEBUG(dbgs() << "Base : " << BaseIdx << " Derived : " << DerivedIdx

465 << "\n");

466 (void)parseOperand(MOB + BaseIdx, MOE, Locations, LiveOuts);

467 (void)parseOperand(MOB + DerivedIdx, MOE, Locations, LiveOuts);

468 }

469

470 MOI = MOB + GCPtrIdx;

471 }

472

473

476 ++MOI;

477 unsigned NumAllocas = MOI->getImm();

478 ++MOI;

479 while (NumAllocas--) {

480 MOI = parseOperand(MOI, MOE, Locations, LiveOuts);

482 }

483}

484

485void StackMaps::recordStackMapOpers(const MCSymbol &MILabel,

489 bool recordResult) {

491

494

495 if (recordResult) {

497 parseOperand(MI.operands_begin(), std::next(MI.operands_begin()), Locations,

498 LiveOuts);

499 }

500

501

502 if (MI.getOpcode() == TargetOpcode::STATEPOINT)

503 parseStatepointOpers(MI, MOI, MOE, Locations, LiveOuts);

504 else

505 while (MOI != MOE)

506 MOI = parseOperand(MOI, MOE, Locations, LiveOuts);

507

508

509

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514 CSInfos.emplace_back(CSOffsetExpr, ID, std::move(Locations),

515 std::move(LiveOuts));

516

517

520 bool HasDynamicFrameSize =

523

525 if (CurrentIt != FnInfos.end())

526 CurrentIt->second.RecordCount++;

527 else

528 FnInfos.insert(std::make_pair(AP.CurrentFnSym, FunctionInfo(FrameSize)));

529}

530

532 assert(MI.getOpcode() == TargetOpcode::STACKMAP && "expected stackmap");

533

536 recordStackMapOpers(L, MI, ID, std::next(MI.operands_begin(),

538 MI.operands_end());

539}

540

542 assert(MI.getOpcode() == TargetOpcode::PATCHPOINT && "expected patchpoint");

543

545 const int64_t ID = opers.getID();

547 recordStackMapOpers(L, MI, ID, MOI, MI.operands_end(),

549

550#ifndef NDEBUG

551

552 auto &Locations = CSInfos.back().Locations;

555 for (unsigned i = 0, e = (opers.hasDef() ? NArgs + 1 : NArgs); i != e; ++i)

557 "anyreg arg must be in reg.");

558 }

559#endif

560}

561

563 assert(MI.getOpcode() == TargetOpcode::STATEPOINT && "expected statepoint");

564

566 const unsigned StartIdx = opers.getVarIdx();

567 recordStackMapOpers(L, MI, opers.getID(), MI.operands_begin() + StartIdx,

568 MI.operands_end(), false);

569}

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580

581void StackMaps::emitStackmapHeader(MCStreamer &OS) {

582

584 OS.emitIntValue(0, 1);

585 OS.emitInt16(0);

586

587

588 LLVM_DEBUG(dbgs() << WSMP << "#functions = " << FnInfos.size() << '\n');

589 OS.emitInt32(FnInfos.size());

590

591 LLVM_DEBUG(dbgs() << WSMP << "#constants = " << ConstPool.size() << '\n');

592 OS.emitInt32(ConstPool.size());

593

594 LLVM_DEBUG(dbgs() << WSMP << "#callsites = " << CSInfos.size() << '\n');

595 OS.emitInt32(CSInfos.size());

596}

597

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604

605void StackMaps::emitFunctionFrameRecords(MCStreamer &OS) {

606

608 for (auto const &FR : FnInfos) {

609 LLVM_DEBUG(dbgs() << WSMP << "function addr: " << FR.first

610 << " frame size: " << FR.second.StackSize

611 << " callsite count: " << FR.second.RecordCount << '\n');

612 OS.emitSymbolValue(FR.first, 8);

613 OS.emitIntValue(FR.second.StackSize, 8);

614 OS.emitIntValue(FR.second.RecordCount, 8);

615 }

616}

617

618

619

620

621void StackMaps::emitConstantPoolEntries(MCStreamer &OS) {

622

624 for (const auto &ConstEntry : ConstPool) {

625 LLVM_DEBUG(dbgs() << WSMP << ConstEntry.second << '\n');

626 OS.emitIntValue(ConstEntry.second, 8);

627 }

628}

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658

659void StackMaps::emitCallsiteEntries(MCStreamer &OS) {

661

662 for (const auto &CSI : CSInfos) {

663 const LocationVec &CSLocs = CSI.Locations;

664 const LiveOutVec &LiveOuts = CSI.LiveOuts;

665

666

667

668

669

670 if (CSLocs.size() > UINT16_MAX || LiveOuts.size() > UINT16_MAX) {

671 OS.emitIntValue(UINT64_MAX, 8);

672 OS.emitValue(CSI.CSOffsetExpr, 4);

673 OS.emitInt16(0);

674 OS.emitInt16(0);

675 OS.emitInt16(0);

676 OS.emitInt16(0);

677 OS.emitInt32(0);

678 continue;

679 }

680

681 OS.emitIntValue(CSI.ID, 8);

682 OS.emitValue(CSI.CSOffsetExpr, 4);

683

684

685 OS.emitInt16(0);

686 OS.emitInt16(CSLocs.size());

687

688 for (const auto &Loc : CSLocs) {

689 OS.emitIntValue(Loc.Type, 1);

690 OS.emitIntValue(0, 1);

691 OS.emitInt16(Loc.Size);

692 OS.emitInt16(Loc.Reg);

693 OS.emitInt16(0);

694 OS.emitInt32(Loc.Offset);

695 }

696

697

698 OS.emitValueToAlignment(Align(8));

699

700

701 OS.emitInt16(0);

702 OS.emitInt16(LiveOuts.size());

703

704 for (const auto &LO : LiveOuts) {

705 OS.emitInt16(LO.DwarfRegNum);

706 OS.emitIntValue(0, 1);

707 OS.emitIntValue(LO.Size, 1);

708 }

709

710 OS.emitValueToAlignment(Align(8));

711 }

712}

713

714

716 (void)WSMP;

717

718 assert((!CSInfos.empty() || ConstPool.empty()) &&

719 "Expected empty constant pool too!");

720 assert((!CSInfos.empty() || FnInfos.empty()) &&

721 "Expected empty function record too!");

722 if (CSInfos.empty())

723 return;

724

727

728

731 OS.switchSection(StackMapSection);

732

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736

737 LLVM_DEBUG(dbgs() << "********** Stack Map Output **********\n");

738 emitStackmapHeader(OS);

739 emitFunctionFrameRecords(OS);

740 emitConstantPoolEntries(OS);

741 emitCallsiteEntries(OS);

742 OS.addBlankLine();

743

744

745 CSInfos.clear();

746 ConstPool.clear();

747}

MachineBasicBlock MachineBasicBlock::iterator DebugLoc DL

static GCRegistry::Add< OcamlGC > B("ocaml", "ocaml 3.10-compatible GC")

static GCRegistry::Add< StatepointGC > D("statepoint-example", "an example strategy for statepoint")

Returns the sub type a function will return at a given Idx Should correspond to the result type of an ExtractValue instruction executed with just that one unsigned Idx

This file defines DenseMapInfo traits for DenseMap.

unsigned const TargetRegisterInfo * TRI

static unsigned getReg(const MCDisassembler *D, unsigned RC, unsigned RegNo)

static bool isReg(const MCInst &MI, unsigned OpNo)

uint64_t IntrinsicInst * II

assert(ImpDefSCC.getReg()==AMDGPU::SCC &&ImpDefSCC.isDef())

static uint64_t getConstMetaVal(const MachineInstr &MI, unsigned Idx)

static unsigned getDwarfRegNum(unsigned Reg, const TargetRegisterInfo *TRI)

Go up the super-register chain until we hit a valid dwarf register number.

static cl::opt< int > StackMapVersion("stackmap-version", cl::init(3), cl::Hidden, cl::desc("Specify the stackmap encoding version (default = 3)"))

This class is intended to be used as a driving class for all asm writers.

MachineFunction * MF

The current machine function.

MCSymbol * CurrentFnSym

The symbol for the current function.

std::unique_ptr< MCStreamer > OutStreamer

This is the MCStreamer object for the file we are generating.

MCSymbol * CurrentFnSymForSize

The symbol used to represent the start of the current function for the purpose of calculating its siz...

static const MCBinaryExpr * createSub(const MCExpr *LHS, const MCExpr *RHS, MCContext &Ctx)

Context object for machine code objects.

const MCObjectFileInfo * getObjectFileInfo() const

MCSymbol * getOrCreateSymbol(const Twine &Name)

Lookup the symbol inside with the specified Name.

Base class for the full range of assembler expressions which are needed for parsing.

MCSection * getStackMapSection() const

Wrapper class representing physical registers. Should be passed by value.

Instances of this class represent a uniqued identifier for a section in the current translation unit.

Streaming machine code generation interface.

static const MCSymbolRefExpr * create(const MCSymbol *Symbol, MCContext &Ctx)

MCSymbol - Instances of this class represent a symbol name in the MC file, and MCSymbols are created ...

The MachineFrameInfo class represents an abstract stack frame until prolog/epilog code is inserted.

bool hasVarSizedObjects() const

This method may be called any time after instruction selection is complete to determine if the stack ...

uint64_t getStackSize() const

Return the number of bytes that must be allocated to hold all of the fixed size frame objects.

const TargetSubtargetInfo & getSubtarget() const

getSubtarget - Return the subtarget for which this machine code is being compiled.

MachineFrameInfo & getFrameInfo()

getFrameInfo - Return the frame info object for the current function.

const DataLayout & getDataLayout() const

Return the DataLayout attached to the Module associated to this MF.

Representation of each machine instruction.

iterator_range< mop_iterator > uses()

Returns a range that includes all operands which may be register uses.

unsigned getNumOperands() const

Retuns the total number of operands.

const MachineOperand & getOperand(unsigned i) const

MachineOperand class - Representation of each machine instruction operand.

unsigned getSubReg() const

const uint32_t * getRegLiveOut() const

getRegLiveOut - Returns a bit mask of live-out registers.

bool isReg() const

isReg - Tests if this is a MO_Register operand.

bool isImm() const

isImm - Tests if this is a MO_Immediate operand.

bool isRegLiveOut() const

isRegLiveOut - Tests if this is a MO_RegisterLiveOut operand.

bool isEarlyClobber() const

Register getReg() const

getReg - Returns the register number.

iterator find(const KeyT &Key)

std::pair< iterator, bool > insert(const std::pair< KeyT, ValueT > &KV)

MI-level patchpoint operands.

uint32_t getNumCallArgs() const

Return the number of call arguments.

PatchPointOpers(const MachineInstr *MI)

unsigned getNextScratchIdx(unsigned StartIdx=0) const

Get the next scratch register operand index.

uint64_t getID() const

Return the ID for the given patchpoint.

unsigned getStackMapStartIdx() const

Get the index at which stack map locations will be recorded.

unsigned getVarIdx() const

Get the operand index of the variable list of non-argument operands.

Wrapper class representing virtual and physical registers.

constexpr bool isPhysical() const

Return true if the specified register number is in the physical register namespace.

This class consists of common code factored out of the SmallVector class to reduce code duplication b...

void push_back(const T &Elt)

MI-level stackmap operands.

StackMapOpers(const MachineInstr *MI)

unsigned getVarIdx() const

Get the operand index of the variable list of non-argument operands.

static unsigned getNextMetaArgIdx(const MachineInstr *MI, unsigned CurIdx)

Get index of next meta operand.

StackMaps(AsmPrinter &AP)

void serializeToStackMapSection()

If there is any stack map data, create a stack map section and serialize the map info into it.

SmallVector< LiveOutReg, 8 > LiveOutVec

SmallVector< Location, 8 > LocationVec

void recordStatepoint(const MCSymbol &L, const MachineInstr &MI)

Generate a stackmap record for a statepoint instruction.

void recordPatchPoint(const MCSymbol &L, const MachineInstr &MI)

Generate a stackmap record for a patchpoint instruction.

void recordStackMap(const MCSymbol &L, const MachineInstr &MI)

Generate a stackmap record for a stackmap instruction.

MI-level Statepoint operands.

unsigned getGCPointerMap(SmallVectorImpl< std::pair< unsigned, unsigned > > &GCMap)

Get vector of base/derived pairs from statepoint.

unsigned getNumAllocaIdx()

Get index of number of gc allocas.

unsigned getNumGcMapEntriesIdx()

Get index of number of gc map entries.

int getFirstGCPtrIdx()

Get index of first GC pointer operand of -1 if there are none.

unsigned getNumDeoptArgsIdx() const

Get index of Number Deopt Arguments operand.

uint64_t getID() const

Return the ID for the given statepoint.

bool isFoldableReg(Register Reg) const

Return true if Reg is used only in operands which can be folded to stack usage.

unsigned getVarIdx() const

Get starting index of non call related arguments (calling convention, statepoint flags,...

unsigned getNumGCPtrIdx()

Get index of number of GC pointers.

TargetRegisterInfo base class - We assume that the target defines a static array of TargetRegisterDes...

virtual const TargetRegisterInfo * getRegisterInfo() const

getRegisterInfo - If register information is available, return it.

Twine - A lightweight data structure for efficiently representing the concatenation of temporary valu...

The instances of the Type class are immutable: once they are created, they are never changed.

This class implements an extremely fast bulk output stream that can only output to a stream.

#define llvm_unreachable(msg)

Marks that the current location is not supposed to be reachable.

Reg

All possible values of the reg field in the ModR/M byte.

initializer< Ty > init(const Ty &Val)

This is an optimization pass for GlobalISel generic memory operations.

void sort(IteratorTy Start, IteratorTy End)

raw_ostream & dbgs()

dbgs() - This returns a reference to a raw_ostream for debugging messages.

void erase_if(Container &C, UnaryPredicate P)

Provide a container algorithm similar to C++ Library Fundamentals v2's erase_if which is equivalent t...

Printable printReg(Register Reg, const TargetRegisterInfo *TRI=nullptr, unsigned SubIdx=0, const MachineRegisterInfo *MRI=nullptr)

Prints virtual and physical registers with or without a TRI instance.

This struct is a compact representation of a valid (non-zero power of two) alignment.

An information struct used to provide DenseMap with the various necessary components for a given valu...